aboutsummaryrefslogtreecommitdiffstats
path: root/doc/expert/outfile.ps
blob: 2f14b308983e6a3fc9d0d229a0d077738dca2286 (plain) (blame)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
2041
2042
2043
2044
2045
2046
2047
2048
2049
2050
2051
2052
2053
2054
2055
2056
2057
2058
2059
2060
2061
2062
2063
2064
2065
2066
2067
2068
2069
2070
2071
2072
2073
2074
2075
2076
2077
2078
2079
2080
2081
2082
2083
2084
2085
2086
2087
2088
2089
2090
2091
2092
2093
2094
2095
2096
2097
2098
2099
2100
2101
2102
2103
2104
2105
2106
2107
2108
2109
2110
2111
2112
2113
2114
2115
2116
2117
2118
2119
2120
2121
2122
2123
2124
2125
2126
2127
2128
2129
2130
2131
2132
2133
2134
2135
2136
2137
2138
2139
2140
2141
2142
2143
2144
2145
2146
2147
2148
2149
2150
2151
2152
2153
2154
2155
2156
2157
2158
2159
2160
2161
2162
2163
2164
2165
2166
2167
2168
2169
2170
2171
2172
2173
2174
2175
2176
2177
2178
2179
2180
2181
2182
2183
2184
2185
2186
2187
2188
2189
2190
2191
2192
2193
2194
2195
2196
2197
2198
2199
2200
2201
2202
2203
2204
2205
2206
2207
2208
2209
2210
2211
2212
2213
2214
2215
2216
2217
2218
2219
2220
2221
2222
2223
2224
2225
2226
2227
2228
2229
2230
2231
2232
2233
2234
2235
2236
2237
2238
2239
2240
2241
2242
2243
2244
2245
2246
2247
2248
2249
2250
2251
2252
2253
2254
2255
2256
2257
2258
2259
2260
2261
2262
2263
2264
2265
2266
2267
2268
2269
2270
2271
2272
2273
2274
2275
2276
2277
2278
2279
2280
2281
2282
2283
2284
2285
2286
2287
2288
2289
2290
2291
2292
2293
2294
2295
2296
2297
2298
2299
2300
2301
2302
2303
2304
2305
2306
2307
2308
2309
2310
2311
2312
2313
2314
2315
2316
2317
2318
2319
2320
2321
2322
2323
2324
2325
2326
2327
2328
2329
2330
2331
2332
2333
2334
2335
2336
2337
2338
2339
2340
2341
2342
2343
2344
2345
2346
2347
2348
2349
2350
2351
2352
2353
2354
2355
2356
2357
2358
2359
2360
2361
2362
2363
2364
2365
2366
2367
2368
2369
2370
2371
2372
2373
2374
2375
2376
2377
2378
2379
2380
2381
2382
2383
2384
2385
2386
2387
2388
2389
2390
2391
2392
2393
2394
2395
2396
2397
2398
2399
2400
2401
2402
2403
2404
2405
2406
2407
2408
2409
2410
2411
2412
2413
2414
2415
2416
2417
2418
2419
2420
2421
2422
2423
2424
2425
2426
2427
2428
2429
2430
2431
2432
2433
2434
2435
2436
2437
2438
2439
2440
2441
2442
2443
2444
2445
2446
2447
2448
2449
2450
2451
2452
2453
2454
2455
2456
2457
2458
2459
2460
2461
2462
2463
2464
2465
2466
2467
2468
2469
2470
2471
2472
2473
2474
2475
2476
2477
2478
2479
2480
2481
2482
2483
2484
2485
2486
2487
2488
2489
2490
2491
2492
2493
2494
2495
2496
2497
2498
2499
2500
2501
2502
2503
2504
2505
2506
2507
2508
2509
2510
2511
2512
2513
2514
2515
2516
2517
2518
2519
2520
2521
2522
2523
2524
2525
2526
2527
2528
2529
2530
2531
2532
2533
2534
2535
2536
2537
2538
2539
2540
2541
2542
2543
2544
2545
2546
2547
2548
2549
2550
2551
2552
2553
2554
2555
2556
2557
2558
2559
2560
2561
2562
2563
2564
2565
2566
2567
2568
2569
2570
2571
2572
2573
2574
2575
2576
2577
2578
2579
2580
2581
2582
2583
2584
2585
2586
2587
2588
2589
2590
2591
2592
2593
2594
2595
2596
2597
2598
2599
2600
2601
2602
2603
2604
2605
2606
2607
2608
2609
2610
2611
2612
2613
2614
2615
2616
2617
2618
2619
2620
2621
2622
2623
2624
2625
2626
2627
2628
2629
2630
2631
2632
2633
2634
2635
2636
2637
2638
2639
2640
2641
2642
2643
2644
2645
2646
2647
2648
2649
2650
2651
2652
2653
2654
2655
2656
2657
2658
2659
2660
2661
2662
2663
2664
2665
2666
2667
2668
2669
2670
2671
2672
2673
2674
2675
2676
2677
2678
2679
2680
2681
2682
2683
2684
2685
2686
2687
2688
2689
2690
2691
2692
2693
2694
2695
2696
2697
2698
2699
2700
2701
2702
2703
2704
2705
2706
2707
2708
2709
2710
2711
2712
2713
2714
2715
2716
2717
2718
2719
2720
2721
2722
2723
2724
2725
2726
2727
2728
2729
2730
2731
2732
2733
2734
2735
2736
2737
2738
2739
2740
2741
2742
2743
2744
2745
2746
2747
2748
2749
2750
2751
2752
2753
2754
2755
2756
2757
2758
2759
2760
2761
2762
2763
2764
2765
2766
2767
2768
2769
2770
2771
2772
2773
2774
2775
2776
2777
2778
2779
2780
2781
2782
2783
2784
2785
2786
2787
2788
2789
2790
2791
2792
2793
2794
2795
2796
2797
2798
2799
2800
2801
2802
2803
2804
2805
2806
2807
2808
2809
2810
2811
2812
2813
2814
2815
2816
2817
2818
2819
2820
2821
2822
2823
2824
2825
2826
2827
2828
2829
2830
2831
2832
2833
2834
2835
2836
2837
2838
2839
2840
2841
2842
2843
2844
2845
2846
2847
2848
2849
2850
2851
2852
2853
2854
2855
2856
2857
2858
2859
2860
2861
2862
2863
2864
2865
2866
2867
2868
2869
2870
2871
2872
2873
2874
2875
2876
2877
2878
2879
2880
2881
2882
2883
2884
2885
2886
2887
2888
2889
2890
2891
2892
2893
2894
2895
2896
2897
2898
2899
2900
2901
2902
2903
2904
2905
2906
2907
2908
2909
2910
2911
2912
2913
2914
2915
2916
2917
2918
2919
2920
2921
2922
2923
2924
2925
2926
2927
2928
2929
2930
2931
2932
2933
2934
2935
2936
2937
2938
2939
2940
2941
2942
2943
2944
2945
2946
2947
2948
2949
2950
2951
2952
2953
2954
2955
2956
2957
2958
2959
2960
2961
2962
2963
2964
2965
2966
2967
2968
2969
2970
2971
2972
2973
2974
2975
2976
2977
2978
2979
2980
2981
2982
2983
2984
2985
2986
2987
2988
2989
2990
2991
2992
2993
2994
2995
2996
2997
2998
2999
3000
3001
3002
3003
3004
3005
3006
3007
3008
3009
3010
3011
3012
3013
3014
3015
3016
3017
3018
3019
3020
3021
3022
3023
3024
3025
3026
3027
3028
3029
3030
3031
3032
3033
3034
3035
3036
3037
3038
3039
3040
3041
3042
3043
3044
3045
3046
3047
3048
3049
3050
3051
3052
3053
3054
3055
3056
3057
3058
3059
3060
3061
3062
3063
3064
3065
3066
3067
3068
3069
3070
3071
3072
3073
3074
3075
3076
3077
3078
3079
3080
3081
3082
3083
3084
3085
3086
3087
3088
3089
3090
3091
3092
3093
3094
3095
3096
3097
3098
3099
3100
3101
3102
3103
3104
3105
3106
3107
3108
3109
3110
3111
3112
3113
3114
3115
3116
3117
3118
3119
3120
3121
3122
3123
3124
3125
3126
3127
3128
3129
3130
3131
3132
3133
3134
3135
3136
3137
3138
3139
3140
3141
3142
3143
3144
3145
3146
3147
3148
3149
3150
3151
3152
3153
3154
3155
3156
3157
3158
3159
3160
3161
3162
3163
3164
3165
3166
3167
3168
3169
3170
3171
3172
3173
3174
3175
3176
3177
3178
3179
3180
3181
3182
3183
3184
3185
3186
3187
3188
3189
3190
3191
3192
3193
3194
3195
3196
3197
3198
3199
3200
3201
3202
3203
3204
3205
3206
3207
3208
3209
3210
3211
3212
3213
3214
3215
3216
3217
3218
3219
3220
3221
3222
3223
3224
3225
3226
3227
3228
3229
3230
3231
3232
3233
3234
3235
3236
3237
3238
3239
3240
3241
3242
3243
3244
3245
3246
3247
3248
3249
3250
3251
3252
3253
3254
3255
3256
3257
3258
3259
3260
3261
3262
3263
3264
3265
3266
3267
3268
3269
3270
3271
3272
3273
3274
3275
3276
3277
3278
3279
3280
3281
3282
3283
3284
3285
3286
3287
3288
3289
3290
3291
3292
3293
3294
3295
3296
3297
3298
3299
3300
3301
3302
3303
3304
3305
3306
3307
3308
3309
3310
3311
3312
3313
3314
3315
3316
3317
3318
3319
3320
3321
3322
3323
3324
3325
3326
3327
3328
3329
3330
3331
3332
3333
3334
3335
3336
3337
3338
3339
3340
3341
3342
3343
3344
3345
3346
3347
3348
3349
3350
3351
3352
3353
3354
3355
3356
3357
3358
3359
3360
3361
3362
3363
3364
3365
3366
3367
3368
3369
3370
3371
3372
3373
3374
3375
3376
3377
3378
3379
3380
3381
3382
3383
3384
3385
3386
3387
3388
3389
3390
3391
3392
3393
3394
3395
3396
3397
3398
3399
3400
3401
3402
3403
3404
3405
3406
3407
3408
3409
3410
3411
3412
3413
3414
3415
3416
3417
3418
3419
3420
3421
3422
3423
3424
3425
3426
3427
3428
3429
3430
3431
3432
3433
3434
3435
3436
3437
3438
3439
3440
3441
3442
3443
3444
3445
3446
3447
3448
3449
3450
3451
3452
3453
3454
3455
3456
3457
3458
3459
3460
3461
3462
3463
3464
3465
3466
3467
3468
3469
3470
3471
3472
3473
3474
3475
3476
3477
3478
3479
3480
3481
3482
3483
3484
3485
3486
3487
3488
3489
3490
3491
3492
3493
3494
3495
3496
3497
3498
3499
3500
3501
3502
3503
3504
3505
3506
3507
3508
3509
3510
3511
3512
3513
3514
3515
3516
3517
3518
3519
3520
3521
3522
3523
3524
3525
3526
3527
3528
3529
3530
3531
3532
3533
3534
3535
3536
3537
3538
3539
3540
3541
3542
3543
3544
3545
3546
3547
3548
3549
3550
3551
3552
3553
3554
3555
3556
3557
3558
3559
3560
3561
3562
3563
3564
3565
3566
3567
3568
3569
3570
3571
3572
3573
3574
3575
3576
3577
3578
3579
3580
3581
3582
3583
3584
3585
3586
3587
3588
3589
3590
3591
3592
3593
3594
3595
3596
3597
3598
3599
3600
3601
3602
3603
3604
3605
3606
3607
3608
3609
3610
3611
3612
3613
3614
3615
3616
3617
3618
3619
3620
3621
3622
3623
3624
3625
3626
3627
3628
3629
3630
3631
3632
3633
3634
3635
3636
3637
3638
3639
3640
3641
3642
3643
3644
3645
3646
3647
3648
3649
3650
3651
3652
3653
3654
3655
3656
3657
3658
3659
3660
3661
3662
3663
3664
3665
3666
3667
3668
3669
3670
3671
3672
3673
3674
3675
3676
3677
3678
3679
3680
3681
3682
3683
3684
3685
3686
3687
3688
3689
3690
3691
3692
3693
3694
3695
3696
3697
3698
3699
3700
3701
3702
3703
3704
3705
3706
3707
3708
3709
3710
3711
3712
3713
3714
3715
3716
3717
3718
3719
3720
3721
3722
3723
3724
3725
3726
3727
3728
3729
3730
3731
3732
3733
3734
3735
3736
3737
3738
3739
3740
3741
3742
3743
3744
3745
3746
3747
3748
3749
3750
3751
3752
3753
3754
3755
3756
3757
3758
3759
3760
3761
3762
3763
3764
3765
3766
3767
3768
3769
3770
3771
3772
3773
3774
3775
3776
3777
3778
3779
3780
3781
3782
3783
3784
3785
3786
3787
3788
3789
3790
3791
3792
3793
3794
3795
3796
3797
3798
3799
3800
3801
3802
3803
3804
3805
3806
3807
3808
3809
3810
3811
3812
3813
3814
3815
3816
3817
3818
3819
3820
3821
3822
3823
3824
3825
3826
3827
3828
3829
3830
3831
3832
3833
3834
3835
3836
3837
3838
3839
3840
3841
3842
3843
3844
3845
3846
3847
3848
3849
3850
3851
3852
3853
3854
3855
3856
3857
3858
3859
3860
3861
3862
3863
3864
3865
3866
3867
3868
3869
3870
3871
3872
3873
3874
3875
3876
3877
3878
3879
3880
3881
3882
3883
3884
3885
3886
3887
3888
3889
3890
3891
3892
3893
3894
3895
3896
3897
3898
3899
3900
3901
3902
3903
3904
3905
3906
3907
3908
3909
3910
3911
3912
3913
3914
3915
3916
3917
3918
3919
3920
3921
3922
3923
3924
3925
3926
3927
3928
3929
3930
3931
3932
3933
3934
3935
3936
3937
3938
3939
3940
3941
3942
3943
3944
3945
3946
3947
3948
3949
3950
3951
3952
3953
3954
3955
3956
3957
3958
3959
3960
3961
3962
3963
3964
3965
3966
3967
3968
3969
3970
3971
3972
3973
3974
3975
3976
3977
3978
3979
3980
3981
3982
3983
3984
3985
3986
3987
3988
3989
3990
3991
3992
3993
3994
3995
3996
3997
3998
3999
4000
4001
4002
4003
4004
4005
4006
4007
4008
4009
4010
4011
4012
4013
4014
4015
4016
4017
4018
4019
4020
4021
4022
4023
4024
4025
4026
4027
4028
4029
4030
4031
4032
4033
4034
4035
4036
4037
4038
4039
4040
4041
4042
4043
4044
4045
4046
4047
4048
4049
4050
4051
4052
4053
4054
4055
4056
4057
4058
4059
4060
4061
4062
4063
4064
4065
4066
4067
4068
4069
4070
4071
4072
4073
4074
4075
4076
4077
4078
4079
4080
4081
4082
4083
4084
4085
4086
4087
4088
4089
4090
4091
4092
4093
4094
4095
4096
4097
4098
4099
4100
4101
4102
4103
4104
4105
4106
4107
4108
4109
4110
4111
4112
4113
4114
4115
4116
4117
4118
4119
4120
4121
4122
4123
4124
4125
4126
4127
4128
4129
4130
4131
4132
4133
4134
4135
4136
4137
4138
4139
4140
4141
4142
4143
4144
4145
4146
4147
4148
4149
4150
4151
4152
4153
4154
4155
4156
4157
4158
4159
4160
4161
4162
4163
4164
4165
4166
4167
4168
4169
4170
4171
4172
4173
4174
4175
4176
4177
4178
4179
4180
4181
4182
4183
4184
4185
4186
4187
4188
4189
4190
4191
4192
4193
4194
4195
4196
4197
4198
4199
4200
4201
4202
4203
4204
4205
4206
4207
4208
4209
4210
4211
4212
4213
4214
4215
4216
4217
4218
4219
4220
4221
4222
4223
4224
4225
4226
4227
4228
4229
4230
4231
4232
4233
4234
4235
4236
4237
4238
4239
4240
4241
4242
4243
4244
4245
4246
4247
4248
4249
4250
4251
4252
4253
4254
4255
4256
4257
4258
4259
4260
4261
4262
4263
4264
4265
4266
4267
4268
4269
4270
4271
4272
4273
4274
4275
4276
4277
4278
4279
4280
4281
4282
4283
4284
4285
4286
4287
4288
4289
4290
4291
4292
4293
4294
4295
4296
4297
4298
4299
4300
4301
4302
4303
4304
4305
4306
4307
4308
4309
4310
4311
4312
4313
4314
4315
4316
4317
4318
4319
4320
4321
4322
4323
4324
4325
4326
4327
4328
4329
4330
4331
4332
4333
4334
4335
4336
4337
4338
4339
4340
4341
4342
4343
4344
4345
4346
4347
4348
4349
4350
4351
4352
4353
4354
4355
4356
4357
4358
4359
4360
4361
4362
4363
4364
4365
4366
4367
4368
4369
4370
4371
4372
4373
4374
4375
4376
4377
4378
4379
4380
4381
4382
4383
4384
4385
4386
4387
4388
4389
4390
4391
4392
4393
4394
4395
4396
4397
4398
4399
4400
4401
4402
4403
4404
4405
4406
4407
4408
4409
4410
4411
4412
4413
4414
4415
4416
4417
4418
4419
4420
4421
4422
4423
4424
4425
4426
4427
4428
4429
4430
4431
4432
4433
4434
4435
4436
4437
4438
4439
4440
4441
4442
4443
4444
4445
4446
4447
4448
4449
4450
4451
4452
4453
4454
4455
4456
4457
4458
4459
4460
4461
4462
4463
4464
4465
4466
4467
4468
4469
4470
4471
4472
4473
4474
4475
4476
4477
4478
4479
4480
4481
4482
4483
4484
4485
4486
4487
4488
4489
4490
4491
4492
4493
4494
4495
4496
4497
4498
4499
4500
4501
4502
4503
4504
4505
4506
4507
4508
4509
4510
4511
4512
4513
4514
4515
4516
4517
4518
4519
4520
4521
4522
4523
4524
4525
4526
4527
4528
4529
4530
4531
4532
4533
4534
4535
4536
4537
4538
4539
4540
4541
4542
4543
4544
4545
4546
4547
4548
4549
4550
4551
4552
4553
4554
4555
4556
4557
4558
4559
4560
4561
4562
4563
4564
4565
4566
4567
4568
4569
4570
4571
4572
4573
4574
4575
4576
4577
4578
4579
4580
4581
4582
4583
4584
4585
4586
4587
4588
4589
4590
4591
4592
4593
4594
4595
4596
4597
4598
4599
4600
4601
4602
4603
4604
4605
4606
4607
4608
4609
4610
4611
4612
4613
4614
4615
4616
4617
4618
4619
4620
4621
4622
4623
4624
4625
4626
4627
4628
4629
4630
4631
4632
4633
4634
4635
4636
4637
4638
4639
4640
4641
4642
4643
4644
4645
4646
4647
4648
4649
4650
4651
4652
4653
4654
4655
4656
4657
4658
4659
4660
4661
4662
4663
4664
4665
4666
4667
4668
4669
4670
4671
4672
4673
4674
4675
4676
4677
4678
4679
4680
4681
4682
4683
4684
4685
4686
4687
4688
4689
4690
4691
4692
4693
4694
4695
4696
4697
4698
4699
4700
4701
4702
4703
4704
4705
4706
4707
4708
4709
4710
4711
4712
4713
4714
4715
4716
4717
4718
4719
4720
4721
4722
4723
4724
4725
4726
4727
4728
4729
4730
4731
4732
4733
4734
4735
4736
4737
4738
4739
4740
4741
4742
4743
4744
4745
4746
4747
4748
4749
4750
4751
4752
4753
4754
4755
4756
4757
4758
4759
4760
4761
4762
4763
4764
4765
4766
4767
4768
4769
4770
4771
4772
4773
4774
4775
4776
4777
4778
4779
4780
4781
4782
4783
4784
4785
4786
4787
4788
4789
4790
4791
4792
4793
4794
4795
4796
4797
4798
4799
4800
4801
4802
4803
4804
4805
4806
4807
4808
4809
4810
4811
4812
4813
4814
4815
4816
4817
4818
4819
4820
4821
4822
4823
4824
4825
4826
4827
4828
4829
4830
4831
4832
4833
4834
4835
4836
4837
4838
4839
4840
4841
4842
4843
4844
4845
4846
4847
4848
4849
4850
4851
4852
4853
4854
4855
4856
4857
4858
4859
4860
4861
4862
4863
4864
4865
4866
4867
4868
4869
4870
4871
4872
4873
4874
4875
4876
4877
4878
4879
4880
4881
4882
4883
4884
4885
4886
4887
4888
4889
4890
4891
4892
4893
4894
4895
4896
4897
4898
4899
4900
4901
4902
4903
4904
4905
4906
4907
4908
4909
4910
4911
4912
4913
4914
4915
4916
4917
4918
4919
4920
4921
4922
4923
4924
4925
4926
4927
4928
4929
4930
4931
4932
4933
4934
4935
4936
4937
4938
4939
4940
4941
4942
4943
4944
4945
4946
4947
4948
4949
4950
4951
4952
4953
4954
4955
4956
4957
4958
4959
4960
4961
4962
4963
4964
4965
4966
4967
4968
4969
4970
4971
4972
4973
4974
4975
4976
4977
4978
4979
4980
4981
4982
4983
4984
4985
4986
4987
4988
4989
4990
4991
4992
4993
4994
4995
4996
4997
4998
4999
5000
5001
5002
5003
5004
5005
5006
5007
5008
5009
5010
5011
5012
5013
5014
5015
5016
5017
5018
5019
5020
5021
5022
5023
5024
5025
5026
5027
5028
5029
5030
5031
5032
5033
5034
5035
5036
5037
5038
5039
5040
5041
5042
5043
5044
5045
5046
5047
5048
5049
5050
5051
5052
5053
5054
5055
5056
5057
5058
5059
5060
5061
5062
5063
5064
5065
5066
5067
5068
5069
5070
5071
5072
5073
5074
5075
5076
5077
5078
5079
5080
5081
5082
5083
5084
5085
5086
5087
5088
5089
5090
5091
5092
5093
5094
5095
5096
5097
5098
5099
5100
5101
5102
5103
5104
5105
5106
5107
5108
5109
5110
5111
5112
5113
5114
5115
5116
5117
5118
5119
5120
5121
5122
5123
5124
5125
5126
5127
5128
5129
5130
5131
5132
5133
5134
5135
5136
5137
5138
5139
5140
5141
5142
5143
5144
5145
5146
5147
5148
5149
5150
5151
5152
5153
5154
5155
5156
5157
5158
5159
5160
5161
5162
5163
5164
5165
5166
5167
5168
5169
5170
5171
5172
5173
5174
5175
5176
5177
5178
5179
5180
5181
5182
5183
5184
5185
5186
5187
5188
5189
5190
5191
5192
5193
5194
5195
5196
5197
5198
5199
5200
5201
5202
5203
5204
5205
5206
5207
5208
5209
5210
5211
5212
5213
5214
5215
5216
5217
5218
5219
5220
5221
5222
5223
5224
5225
5226
5227
5228
5229
5230
5231
5232
5233
5234
5235
5236
5237
5238
5239
5240
5241
5242
5243
5244
5245
5246
5247
5248
5249
5250
5251
5252
5253
5254
5255
5256
5257
5258
5259
5260
5261
5262
5263
5264
5265
5266
5267
5268
5269
5270
5271
5272
5273
5274
5275
5276
5277
5278
5279
5280
5281
5282
5283
5284
5285
5286
5287
5288
5289
5290
5291
5292
5293
5294
5295
5296
5297
5298
5299
5300
5301
5302
5303
5304
5305
5306
5307
5308
5309
5310
5311
5312
5313
5314
5315
5316
5317
5318
5319
5320
5321
5322
5323
5324
5325
5326
5327
5328
5329
5330
5331
5332
5333
5334
5335
5336
5337
5338
5339
5340
5341
5342
5343
5344
5345
5346
5347
5348
5349
5350
5351
5352
5353
5354
5355
5356
5357
5358
5359
5360
5361
5362
5363
5364
5365
5366
5367
5368
5369
5370
5371
5372
5373
5374
5375
5376
5377
5378
5379
5380
5381
5382
5383
5384
5385
5386
5387
5388
5389
5390
5391
5392
5393
5394
5395
5396
5397
5398
5399
5400
5401
5402
5403
5404
5405
5406
5407
5408
5409
5410
5411
5412
5413
5414
5415
5416
5417
5418
5419
5420
5421
5422
5423
5424
5425
5426
5427
5428
5429
5430
5431
5432
5433
5434
5435
5436
5437
5438
5439
5440
5441
5442
5443
5444
5445
5446
5447
5448
5449
5450
5451
5452
5453
5454
5455
5456
5457
5458
5459
5460
5461
5462
5463
5464
5465
5466
5467
5468
5469
5470
5471
5472
5473
5474
5475
5476
5477
5478
5479
5480
5481
5482
5483
5484
5485
5486
5487
5488
5489
5490
5491
5492
5493
5494
5495
5496
5497
5498
5499
5500
5501
5502
5503
5504
5505
5506
5507
5508
5509
5510
5511
5512
5513
5514
5515
5516
5517
5518
5519
5520
5521
5522
5523
5524
5525
5526
5527
5528
5529
5530
5531
5532
5533
5534
5535
5536
5537
5538
5539
5540
5541
5542
5543
5544
5545
5546
5547
5548
5549
5550
5551
5552
5553
5554
5555
5556
5557
5558
5559
5560
5561
5562
5563
5564
5565
5566
5567
5568
5569
5570
5571
5572
5573
5574
5575
5576
5577
5578
5579
5580
5581
5582
5583
5584
5585
5586
5587
5588
5589
5590
5591
5592
5593
5594
5595
5596
5597
5598
5599
5600
5601
5602
5603
5604
5605
5606
5607
5608
5609
5610
5611
5612
5613
5614
5615
5616
5617
5618
5619
5620
5621
5622
5623
5624
5625
5626
5627
5628
5629
5630
5631
5632
5633
5634
5635
5636
5637
5638
5639
5640
5641
5642
5643
5644
5645
5646
5647
5648
5649
5650
5651
5652
5653
5654
5655
5656
5657
5658
5659
5660
5661
5662
5663
5664
5665
5666
5667
5668
5669
5670
5671
5672
5673
5674
5675
5676
5677
5678
5679
5680
5681
5682
5683
5684
5685
5686
5687
5688
5689
5690
5691
5692
5693
5694
5695
5696
5697
5698
5699
5700
5701
5702
5703
5704
5705
5706
5707
5708
5709
5710
5711
5712
5713
5714
5715
5716
5717
5718
5719
5720
5721
5722
5723
5724
5725
5726
5727
5728
5729
5730
5731
5732
5733
5734
5735
5736
5737
5738
5739
5740
5741
5742
5743
5744
5745
5746
5747
5748
5749
5750
5751
5752
5753
5754
5755
5756
5757
5758
5759
5760
5761
5762
5763
5764
5765
5766
5767
5768
5769
5770
5771
5772
5773
5774
5775
5776
5777
5778
5779
5780
5781
5782
5783
5784
5785
5786
5787
5788
5789
5790
5791
5792
5793
5794
5795
5796
5797
5798
5799
5800
5801
5802
5803
5804
5805
5806
5807
5808
5809
5810
5811
5812
5813
5814
5815
5816
5817
5818
5819
5820
5821
5822
5823
5824
5825
5826
5827
5828
5829
5830
5831
5832
5833
5834
5835
5836
5837
5838
5839
5840
5841
5842
5843
5844
5845
5846
5847
5848
5849
5850
5851
5852
5853
5854
5855
5856
5857
5858
5859
5860
5861
5862
5863
5864
5865
5866
5867
5868
5869
5870
5871
5872
5873
5874
5875
5876
5877
5878
5879
5880
5881
5882
5883
5884
5885
5886
5887
5888
5889
5890
5891
5892
5893
5894
5895
5896
5897
5898
5899
5900
5901
5902
5903
5904
5905
5906
5907
5908
5909
5910
5911
5912
5913
5914
5915
5916
5917
5918
5919
5920
5921
5922
5923
5924
5925
5926
5927
5928
5929
5930
5931
5932
5933
5934
5935
5936
5937
5938
5939
5940
5941
5942
5943
5944
5945
5946
5947
5948
5949
5950
5951
5952
5953
5954
5955
5956
5957
5958
5959
5960
5961
5962
5963
5964
5965
5966
5967
5968
5969
5970
5971
5972
5973
5974
5975
5976
5977
5978
5979
5980
5981
5982
5983
5984
5985
5986
5987
5988
5989
5990
5991
5992
5993
5994
5995
5996
5997
5998
5999
6000
6001
6002
6003
6004
6005
6006
6007
6008
6009
6010
6011
6012
6013
6014
6015
6016
6017
6018
6019
6020
6021
6022
6023
6024
6025
6026
6027
6028
6029
6030
6031
6032
6033
6034
6035
6036
6037
6038
6039
6040
6041
6042
6043
6044
6045
6046
6047
6048
6049
6050
6051
6052
6053
6054
6055
6056
6057
6058
6059
6060
6061
6062
6063
6064
6065
6066
6067
6068
6069
6070
6071
6072
6073
6074
6075
6076
6077
6078
6079
6080
6081
6082
6083
6084
6085
6086
6087
6088
6089
6090
6091
6092
6093
6094
6095
6096
6097
6098
6099
6100
6101
6102
6103
6104
6105
6106
6107
6108
6109
6110
6111
6112
6113
6114
6115
6116
6117
6118
6119
6120
6121
6122
6123
6124
6125
6126
6127
6128
6129
6130
6131
6132
6133
6134
6135
6136
6137
6138
6139
6140
6141
6142
6143
6144
6145
6146
6147
6148
6149
6150
6151
6152
6153
6154
6155
6156
6157
6158
6159
6160
6161
6162
6163
6164
6165
6166
6167
6168
6169
6170
6171
6172
6173
6174
6175
6176
6177
6178
6179
6180
6181
6182
6183
6184
6185
6186
6187
6188
6189
6190
6191
6192
6193
6194
6195
6196
6197
6198
6199
6200
6201
6202
6203
6204
6205
6206
6207
6208
6209
6210
6211
6212
6213
6214
6215
6216
6217
6218
6219
6220
6221
6222
6223
6224
6225
6226
6227
6228
6229
6230
6231
6232
6233
6234
6235
6236
6237
6238
6239
6240
6241
6242
6243
6244
6245
6246
6247
6248
6249
6250
6251
6252
6253
6254
6255
6256
6257
6258
6259
6260
6261
6262
6263
6264
6265
6266
6267
6268
6269
6270
6271
6272
6273
6274
6275
6276
6277
6278
6279
6280
6281
6282
6283
6284
6285
6286
6287
6288
6289
6290
6291
6292
6293
6294
6295
6296
6297
6298
6299
6300
6301
6302
6303
6304
6305
6306
6307
6308
6309
6310
6311
6312
6313
6314
6315
6316
6317
6318
6319
6320
6321
6322
6323
6324
6325
6326
6327
6328
6329
6330
6331
6332
6333
6334
6335
6336
6337
6338
6339
6340
6341
6342
6343
6344
6345
6346
6347
6348
6349
6350
6351
6352
6353
6354
6355
6356
6357
6358
6359
6360
6361
6362
6363
6364
6365
6366
6367
6368
6369
6370
6371
6372
6373
6374
6375
6376
6377
6378
6379
6380
6381
6382
6383
6384
6385
6386
6387
6388
6389
6390
6391
6392
6393
6394
6395
6396
6397
6398
6399
6400
6401
6402
6403
6404
6405
6406
6407
6408
6409
6410
6411
6412
6413
6414
6415
6416
6417
6418
6419
6420
6421
6422
6423
6424
6425
6426
6427
6428
6429
6430
6431
6432
6433
6434
6435
6436
6437
6438
6439
6440
6441
6442
6443
6444
6445
6446
6447
6448
6449
6450
6451
6452
6453
6454
6455
6456
6457
6458
6459
6460
6461
6462
6463
6464
6465
6466
6467
6468
6469
6470
6471
6472
6473
6474
6475
6476
6477
6478
6479
6480
6481
6482
6483
6484
6485
6486
6487
6488
6489
6490
6491
6492
6493
6494
6495
6496
6497
6498
6499
6500
6501
6502
6503
6504
6505
6506
6507
6508
6509
6510
6511
6512
6513
6514
6515
6516
6517
6518
6519
6520
6521
6522
6523
6524
6525
6526
6527
6528
6529
6530
6531
6532
6533
6534
6535
6536
6537
6538
6539
6540
6541
6542
6543
6544
6545
6546
6547
6548
6549
6550
6551
6552
6553
6554
6555
6556
6557
6558
6559
6560
6561
6562
6563
6564
6565
6566
6567
6568
6569
6570
6571
6572
6573
6574
6575
6576
6577
6578
6579
6580
6581
6582
6583
6584
6585
6586
6587
6588
6589
6590
6591
6592
6593
6594
6595
6596
6597
6598
6599
6600
6601
6602
6603
6604
6605
6606
6607
6608
6609
6610
6611
6612
6613
6614
6615
6616
6617
6618
6619
6620
6621
6622
6623
6624
6625
6626
6627
6628
6629
6630
6631
6632
6633
6634
6635
6636
6637
6638
6639
6640
6641
6642
6643
6644
6645
6646
6647
6648
6649
6650
6651
6652
6653
6654
6655
6656
6657
6658
6659
6660
6661
6662
6663
6664
6665
6666
6667
6668
6669
6670
6671
6672
6673
6674
6675
6676
6677
6678
6679
6680
6681
6682
6683
6684
6685
6686
6687
6688
6689
6690
6691
6692
6693
6694
6695
6696
6697
6698
6699
6700
6701
6702
6703
6704
6705
6706
6707
6708
6709
6710
6711
6712
6713
6714
6715
6716
6717
6718
6719
6720
6721
6722
6723
6724
6725
6726
6727
6728
6729
6730
6731
6732
6733
6734
6735
6736
6737
6738
6739
6740
6741
6742
6743
6744
6745
6746
6747
6748
6749
6750
6751
6752
6753
6754
6755
6756
6757
6758
6759
6760
6761
6762
6763
6764
6765
6766
6767
6768
6769
6770
6771
6772
6773
6774
6775
6776
6777
6778
6779
6780
6781
6782
6783
6784
6785
6786
6787
6788
6789
6790
6791
6792
6793
6794
6795
6796
6797
6798
6799
6800
6801
6802
6803
6804
6805
6806
6807
6808
6809
6810
6811
6812
6813
6814
6815
6816
6817
6818
6819
6820
6821
6822
6823
6824
6825
6826
6827
6828
6829
6830
6831
6832
6833
6834
6835
6836
6837
6838
6839
6840
6841
6842
6843
6844
6845
6846
6847
6848
6849
6850
6851
6852
6853
6854
6855
6856
6857
6858
6859
6860
6861
6862
6863
6864
6865
6866
6867
6868
6869
6870
6871
6872
6873
6874
6875
6876
6877
6878
6879
6880
6881
6882
6883
6884
6885
6886
6887
6888
6889
6890
6891
6892
6893
6894
6895
6896
6897
6898
6899
6900
6901
6902
6903
6904
6905
6906
6907
6908
6909
6910
6911
6912
6913
6914
6915
6916
6917
6918
6919
6920
6921
6922
6923
6924
6925
6926
6927
6928
6929
6930
6931
6932
6933
6934
6935
6936
6937
6938
6939
6940
6941
6942
6943
6944
6945
6946
6947
6948
6949
6950
6951
6952
6953
6954
6955
6956
6957
6958
6959
6960
6961
6962
6963
6964
6965
6966
6967
6968
6969
6970
6971
6972
6973
6974
6975
6976
6977
6978
6979
6980
6981
6982
6983
6984
6985
6986
6987
6988
6989
6990
6991
6992
6993
6994
6995
6996
6997
6998
6999
7000
7001
7002
7003
7004
7005
7006
7007
7008
7009
7010
7011
7012
7013
7014
7015
7016
7017
7018
7019
7020
7021
7022
7023
7024
7025
7026
7027
7028
7029
7030
7031
7032
7033
7034
7035
7036
7037
7038
7039
7040
7041
7042
7043
7044
7045
7046
7047
7048
7049
7050
7051
7052
7053
7054
7055
7056
7057
7058
7059
7060
7061
7062
7063
7064
7065
7066
7067
7068
7069
7070
7071
7072
7073
7074
7075
7076
7077
7078
7079
7080
7081
7082
7083
7084
7085
7086
7087
7088
7089
7090
7091
7092
7093
7094
7095
7096
7097
7098
7099
7100
7101
7102
7103
7104
7105
7106
7107
7108
7109
7110
7111
7112
7113
7114
7115
7116
7117
7118
7119
7120
7121
7122
7123
7124
7125
7126
7127
7128
7129
7130
7131
7132
7133
7134
7135
7136
7137
7138
7139
7140
7141
7142
7143
7144
7145
7146
7147
7148
7149
7150
7151
7152
7153
7154
7155
7156
7157
7158
7159
7160
7161
7162
7163
7164
7165
7166
7167
7168
7169
7170
7171
7172
7173
7174
7175
7176
7177
7178
7179
7180
7181
7182
7183
7184
7185
7186
7187
7188
7189
7190
7191
7192
7193
7194
7195
7196
7197
7198
7199
7200
7201
7202
7203
7204
7205
7206
7207
7208
7209
7210
7211
7212
7213
7214
7215
7216
7217
7218
7219
7220
7221
7222
7223
7224
7225
7226
7227
7228
7229
7230
7231
7232
7233
7234
7235
7236
7237
7238
7239
7240
7241
7242
7243
7244
7245
7246
7247
7248
7249
7250
7251
7252
7253
7254
7255
7256
7257
7258
7259
7260
7261
7262
7263
7264
7265
7266
7267
7268
7269
7270
7271
7272
7273
7274
7275
7276
7277
7278
7279
7280
7281
7282
7283
7284
7285
7286
7287
7288
7289
7290
7291
7292
7293
7294
7295
7296
7297
7298
7299
7300
7301
7302
7303
7304
7305
7306
7307
7308
7309
7310
7311
7312
7313
7314
7315
7316
7317
7318
7319
7320
7321
7322
7323
7324
7325
7326
7327
7328
7329
7330
7331
7332
7333
7334
7335
7336
7337
7338
7339
7340
7341
7342
7343
7344
7345
7346
7347
7348
7349
7350
7351
7352
7353
7354
7355
7356
7357
7358
7359
7360
7361
7362
7363
7364
7365
7366
7367
7368
7369
7370
7371
7372
7373
7374
7375
7376
7377
7378
7379
7380
7381
7382
7383
7384
7385
7386
7387
7388
7389
7390
7391
7392
7393
7394
7395
7396
7397
7398
7399
7400
7401
7402
7403
7404
7405
7406
7407
7408
7409
7410
7411
7412
7413
7414
7415
7416
7417
7418
7419
7420
7421
7422
7423
7424
7425
7426
7427
7428
7429
7430
7431
7432
7433
7434
7435
7436
7437
7438
7439
7440
7441
7442
7443
7444
7445
7446
7447
7448
7449
7450
7451
7452
7453
7454
7455
7456
7457
7458
7459
7460
7461
7462
7463
7464
7465
7466
7467
7468
7469
7470
7471
7472
7473
7474
7475
7476
7477
7478
7479
7480
7481
7482
7483
7484
7485
7486
7487
7488
7489
7490
7491
7492
7493
7494
7495
7496
7497
7498
7499
7500
7501
7502
7503
7504
7505
7506
7507
7508
7509
7510
7511
7512
7513
7514
7515
7516
7517
7518
7519
7520
7521
7522
7523
7524
7525
7526
7527
7528
7529
7530
7531
7532
7533
7534
7535
7536
7537
7538
7539
7540
7541
7542
7543
7544
7545
7546
7547
7548
7549
7550
7551
7552
7553
7554
7555
7556
7557
7558
7559
7560
7561
7562
7563
7564
7565
7566
7567
7568
7569
7570
7571
7572
7573
7574
7575
7576
7577
7578
7579
7580
7581
7582
7583
7584
7585
7586
7587
7588
7589
7590
7591
7592
7593
7594
7595
7596
7597
7598
7599
7600
7601
7602
7603
7604
7605
7606
7607
7608
7609
7610
7611
7612
7613
7614
7615
7616
7617
7618
7619
7620
7621
7622
7623
7624
7625
7626
7627
7628
7629
7630
7631
7632
7633
7634
7635
7636
7637
7638
7639
7640
7641
7642
7643
7644
7645
7646
7647
7648
7649
7650
7651
7652
7653
7654
7655
7656
7657
7658
7659
7660
7661
7662
7663
7664
7665
7666
7667
7668
7669
7670
7671
7672
7673
7674
7675
7676
7677
7678
7679
7680
7681
7682
7683
7684
7685
7686
7687
7688
7689
7690
7691
7692
7693
7694
7695
7696
7697
7698
7699
7700
7701
7702
7703
7704
7705
7706
7707
7708
7709
7710
7711
7712
7713
7714
7715
7716
7717
7718
7719
7720
7721
7722
7723
7724
7725
7726
7727
7728
7729
7730
7731
7732
7733
7734
7735
7736
7737
7738
7739
7740
7741
7742
7743
7744
7745
7746
7747
7748
7749
7750
7751
7752
7753
7754
7755
7756
7757
7758
7759
7760
7761
7762
7763
7764
7765
7766
7767
7768
7769
7770
7771
7772
7773
7774
7775
7776
7777
7778
7779
7780
7781
7782
7783
7784
7785
7786
7787
7788
7789
7790
7791
7792
7793
7794
7795
7796
7797
7798
7799
7800
7801
7802
7803
7804
7805
7806
7807
7808
7809
7810
7811
7812
7813
7814
7815
7816
7817
7818
7819
7820
7821
7822
7823
7824
7825
7826
7827
7828
7829
7830
7831
7832
7833
7834
7835
7836
7837
7838
7839
7840
7841
7842
7843
7844
7845
7846
7847
7848
7849
7850
7851
7852
7853
7854
7855
7856
7857
7858
7859
7860
7861
7862
7863
7864
7865
7866
7867
7868
7869
7870
7871
7872
7873
7874
7875
7876
7877
7878
7879
7880
7881
7882
7883
7884
7885
7886
7887
7888
7889
7890
7891
7892
7893
7894
7895
7896
7897
7898
7899
7900
7901
7902
7903
7904
7905
7906
7907
7908
7909
7910
7911
7912
7913
7914
7915
7916
7917
7918
7919
7920
7921
7922
7923
7924
7925
7926
7927
7928
7929
7930
7931
7932
7933
7934
7935
7936
7937
7938
7939
7940
7941
7942
7943
7944
7945
7946
7947
7948
7949
7950
7951
7952
7953
7954
7955
7956
7957
7958
7959
7960
7961
7962
7963
7964
7965
7966
7967
7968
7969
7970
7971
7972
7973
7974
7975
7976
7977
7978
7979
7980
7981
7982
7983
7984
7985
7986
7987
7988
7989
7990
7991
7992
7993
7994
7995
7996
7997
7998
7999
8000
8001
8002
8003
8004
8005
8006
8007
8008
8009
8010
8011
8012
8013
8014
8015
8016
8017
8018
8019
8020
8021
8022
8023
8024
8025
8026
8027
8028
8029
8030
8031
8032
8033
8034
8035
8036
8037
8038
8039
8040
8041
8042
8043
8044
8045
8046
8047
8048
8049
8050
8051
8052
8053
8054
8055
8056
8057
8058
8059
8060
8061
8062
8063
8064
8065
8066
8067
8068
8069
8070
8071
8072
8073
8074
8075
8076
8077
8078
8079
8080
8081
8082
8083
8084
8085
8086
8087
8088
8089
8090
8091
8092
8093
8094
8095
8096
8097
8098
8099
8100
8101
8102
8103
8104
8105
8106
8107
8108
8109
8110
8111
8112
8113
8114
8115
8116
8117
8118
8119
8120
8121
8122
8123
8124
8125
8126
8127
8128
8129
8130
8131
8132
8133
8134
8135
8136
8137
8138
8139
8140
8141
8142
8143
8144
8145
8146
8147
8148
8149
8150
8151
8152
8153
8154
8155
8156
8157
8158
8159
8160
8161
8162
8163
8164
8165
8166
8167
8168
8169
8170
8171
8172
8173
8174
8175
8176
8177
8178
8179
8180
8181
8182
8183
8184
8185
8186
8187
8188
8189
8190
8191
8192
8193
8194
8195
8196
8197
8198
8199
8200
8201
8202
8203
8204
8205
8206
8207
8208
8209
8210
8211
8212
8213
8214
8215
8216
8217
8218
8219
8220
8221
8222
8223
8224
8225
8226
8227
8228
8229
8230
8231
8232
8233
8234
8235
8236
8237
8238
8239
8240
8241
8242
8243
8244
8245
8246
8247
8248
8249
8250
8251
8252
8253
8254
8255
8256
8257
8258
8259
8260
8261
8262
8263
8264
8265
8266
8267
8268
8269
8270
8271
8272
8273
8274
8275
8276
8277
8278
8279
8280
8281
8282
8283
8284
8285
8286
8287
8288
8289
8290
8291
8292
8293
8294
8295
8296
8297
8298
8299
8300
8301
8302
8303
8304
8305
8306
8307
8308
8309
8310
8311
8312
8313
8314
8315
8316
8317
8318
8319
8320
8321
8322
8323
8324
8325
8326
8327
8328
8329
8330
8331
8332
8333
8334
8335
8336
8337
8338
8339
8340
8341
8342
8343
8344
8345
8346
8347
8348
8349
8350
8351
8352
8353
8354
8355
8356
8357
8358
8359
8360
8361
8362
8363
8364
8365
8366
8367
8368
8369
8370
8371
8372
8373
8374
8375
8376
8377
8378
8379
8380
8381
8382
8383
8384
8385
8386
8387
8388
8389
8390
8391
8392
8393
8394
8395
8396
8397
8398
8399
8400
8401
8402
8403
8404
8405
8406
8407
8408
8409
8410
8411
8412
8413
8414
8415
8416
8417
8418
8419
8420
8421
8422
8423
8424
8425
8426
8427
8428
8429
8430
8431
8432
8433
8434
8435
8436
8437
8438
8439
8440
8441
8442
8443
8444
8445
8446
8447
8448
8449
8450
8451
8452
8453
8454
8455
8456
8457
8458
8459
8460
8461
8462
8463
8464
8465
8466
8467
8468
8469
8470
8471
8472
8473
8474
8475
8476
8477
8478
8479
8480
8481
8482
8483
8484
8485
8486
8487
8488
8489
8490
8491
8492
8493
8494
8495
8496
8497
8498
8499
8500
8501
8502
8503
8504
8505
8506
8507
8508
8509
8510
8511
8512
8513
8514
8515
8516
8517
8518
8519
8520
8521
8522
8523
8524
8525
8526
8527
8528
8529
8530
8531
8532
8533
8534
8535
8536
8537
8538
8539
8540
8541
8542
8543
8544
8545
8546
8547
8548
8549
8550
8551
8552
8553
8554
8555
8556
8557
8558
8559
8560
8561
8562
8563
8564
8565
8566
8567
8568
8569
8570
8571
8572
8573
8574
8575
8576
8577
8578
8579
8580
8581
8582
8583
8584
8585
8586
8587
8588
8589
8590
8591
8592
8593
8594
8595
8596
8597
8598
8599
8600
8601
8602
8603
8604
8605
8606
8607
8608
8609
8610
8611
8612
8613
8614
8615
8616
8617
8618
8619
8620
8621
8622
8623
8624
8625
8626
8627
8628
8629
8630
8631
8632
8633
8634
8635
8636
8637
8638
8639
8640
8641
8642
8643
8644
8645
8646
8647
8648
8649
8650
8651
8652
8653
8654
8655
8656
8657
8658
8659
8660
8661
8662
8663
8664
8665
8666
8667
8668
8669
8670
8671
8672
8673
8674
8675
8676
8677
8678
8679
8680
8681
8682
8683
8684
8685
8686
8687
8688
8689
8690
8691
8692
8693
8694
8695
8696
8697
8698
8699
8700
8701
8702
8703
8704
8705
8706
8707
8708
8709
8710
8711
8712
8713
8714
8715
8716
8717
8718
8719
8720
8721
8722
8723
8724
8725
8726
8727
8728
8729
8730
8731
8732
8733
8734
8735
8736
8737
8738
8739
8740
8741
8742
8743
8744
8745
8746
8747
8748
8749
8750
8751
8752
8753
8754
8755
8756
8757
8758
8759
8760
8761
8762
8763
8764
8765
8766
8767
8768
8769
8770
8771
8772
8773
8774
8775
8776
8777
8778
8779
8780
8781
8782
8783
8784
8785
8786
8787
8788
8789
8790
8791
8792
8793
8794
8795
8796
8797
8798
8799
8800
8801
8802
8803
8804
8805
8806
8807
8808
8809
8810
8811
8812
8813
8814
8815
8816
8817
8818
8819
8820
8821
8822
8823
8824
8825
8826
8827
8828
8829
8830
8831
8832
8833
8834
8835
8836
8837
8838
8839
8840
8841
8842
8843
8844
8845
8846
8847
8848
8849
8850
8851
8852
8853
8854
8855
8856
8857
8858
8859
8860
8861
8862
8863
8864
8865
8866
8867
8868
8869
8870
8871
8872
8873
8874
8875
8876
8877
8878
8879
8880
8881
8882
8883
8884
8885
8886
8887
8888
8889
8890
8891
8892
8893
8894
8895
8896
8897
8898
8899
8900
8901
8902
8903
8904
8905
8906
8907
8908
8909
8910
8911
8912
8913
8914
8915
8916
8917
8918
8919
8920
8921
8922
8923
8924
8925
8926
8927
8928
8929
8930
8931
8932
8933
8934
8935
8936
8937
8938
8939
8940
8941
8942
8943
8944
8945
8946
8947
8948
8949
8950
8951
8952
8953
8954
8955
8956
8957
8958
8959
8960
8961
8962
8963
8964
8965
8966
8967
8968
8969
8970
8971
8972
8973
8974
8975
8976
8977
8978
8979
8980
8981
8982
8983
8984
8985
8986
8987
8988
8989
8990
8991
8992
8993
8994
8995
8996
8997
8998
8999
9000
9001
9002
9003
9004
9005
9006
9007
9008
9009
9010
9011
9012
9013
9014
9015
9016
9017
9018
9019
9020
9021
9022
9023
9024
9025
9026
9027
9028
9029
9030
9031
9032
9033
9034
9035
9036
9037
9038
9039
9040
9041
9042
9043
9044
9045
9046
9047
9048
9049
9050
9051
9052
9053
9054
9055
9056
9057
9058
9059
9060
9061
9062
9063
9064
9065
9066
9067
9068
9069
9070
9071
9072
9073
9074
9075
9076
9077
9078
9079
9080
9081
9082
9083
9084
9085
9086
9087
9088
9089
9090
9091
9092
9093
9094
9095
9096
9097
9098
9099
9100
9101
9102
9103
9104
9105
9106
9107
9108
9109
9110
9111
9112
9113
9114
9115
9116
9117
9118
9119
9120
9121
9122
9123
9124
9125
9126
9127
9128
9129
9130
9131
9132
9133
9134
9135
9136
9137
9138
9139
9140
9141
9142
9143
9144
9145
9146
9147
9148
9149
9150
9151
9152
9153
9154
9155
9156
9157
9158
9159
9160
9161
9162
9163
9164
9165
9166
9167
9168
9169
9170
9171
9172
9173
9174
9175
9176
9177
9178
9179
9180
9181
9182
9183
9184
9185
9186
9187
9188
9189
9190
9191
9192
9193
9194
9195
9196
9197
9198
9199
9200
9201
9202
9203
9204
9205
9206
9207
9208
9209
9210
9211
9212
9213
9214
9215
9216
9217
9218
9219
9220
9221
9222
9223
9224
9225
9226
9227
9228
9229
9230
9231
9232
9233
9234
9235
9236
9237
9238
9239
9240
9241
9242
9243
9244
9245
9246
9247
9248
9249
9250
9251
9252
9253
9254
9255
9256
9257
9258
9259
9260
9261
9262
9263
9264
9265
9266
9267
9268
9269
9270
9271
9272
9273
9274
9275
9276
9277
9278
9279
9280
9281
9282
9283
9284
9285
9286
9287
9288
9289
9290
9291
9292
9293
9294
9295
9296
9297
9298
9299
9300
9301
9302
9303
9304
9305
9306
9307
9308
9309
9310
9311
9312
9313
9314
9315
9316
9317
9318
9319
9320
9321
9322
9323
9324
9325
9326
9327
9328
9329
9330
9331
9332
9333
9334
9335
9336
9337
9338
9339
9340
9341
9342
9343
9344
9345
9346
9347
9348
9349
9350
9351
9352
9353
9354
9355
9356
9357
9358
9359
9360
9361
9362
9363
9364
9365
9366
9367
9368
9369
9370
9371
9372
9373
9374
9375
9376
9377
9378
9379
9380
9381
9382
9383
9384
9385
9386
9387
9388
9389
9390
9391
9392
9393
9394
9395
9396
9397
9398
9399
9400
9401
9402
9403
9404
9405
9406
9407
9408
9409
9410
9411
9412
9413
9414
9415
9416
9417
9418
9419
9420
9421
9422
9423
9424
9425
9426
9427
9428
9429
9430
9431
9432
9433
9434
9435
9436
9437
9438
9439
9440
9441
9442
9443
9444
9445
9446
9447
9448
9449
9450
9451
9452
9453
9454
9455
9456
9457
9458
9459
9460
9461
9462
9463
9464
9465
9466
9467
9468
9469
9470
9471
9472
9473
9474
9475
9476
9477
9478
9479
9480
9481
9482
9483
9484
9485
9486
9487
9488
9489
9490
9491
9492
9493
9494
9495
9496
9497
9498
9499
9500
9501
9502
9503
9504
9505
9506
9507
9508
9509
9510
9511
9512
9513
9514
9515
9516
9517
9518
9519
9520
9521
9522
9523
9524
9525
9526
9527
9528
9529
9530
9531
9532
9533
9534
9535
9536
9537
9538
9539
9540
9541
9542
9543
9544
9545
9546
9547
9548
9549
9550
9551
9552
9553
9554
9555
9556
9557
9558
9559
9560
9561
9562
9563
9564
9565
9566
9567
9568
9569
9570
9571
9572
9573
9574
9575
9576
9577
9578
9579
9580
9581
9582
9583
9584
9585
9586
9587
9588
9589
9590
9591
9592
9593
9594
9595
9596
9597
9598
9599
9600
9601
9602
9603
9604
9605
9606
9607
9608
9609
9610
9611
9612
9613
9614
9615
9616
9617
9618
9619
9620
9621
9622
9623
9624
9625
9626
9627
9628
9629
9630
9631
9632
9633
9634
9635
9636
9637
9638
9639
9640
9641
9642
9643
9644
9645
9646
9647
9648
9649
9650
9651
9652
9653
9654
9655
9656
9657
9658
9659
9660
9661
9662
9663
9664
9665
9666
9667
9668
9669
9670
9671
9672
9673
9674
9675
9676
9677
9678
9679
9680
9681
9682
9683
9684
9685
9686
9687
9688
9689
9690
9691
9692
9693
9694
9695
9696
9697
9698
9699
9700
9701
9702
9703
9704
9705
9706
9707
9708
9709
9710
9711
9712
9713
9714
9715
9716
9717
9718
9719
9720
9721
9722
9723
9724
9725
9726
9727
9728
9729
9730
9731
9732
9733
9734
9735
9736
9737
9738
9739
9740
9741
9742
9743
9744
9745
9746
9747
9748
9749
9750
9751
9752
9753
9754
9755
9756
9757
9758
9759
9760
9761
9762
9763
9764
9765
9766
9767
9768
9769
9770
9771
9772
9773
9774
9775
9776
9777
9778
9779
9780
9781
9782
9783
9784
9785
9786
9787
9788
9789
9790
9791
9792
9793
9794
9795
9796
9797
9798
9799
9800
9801
9802
9803
9804
9805
9806
9807
9808
9809
9810
9811
9812
9813
9814
9815
9816
9817
9818
9819
9820
9821
9822
9823
9824
9825
9826
9827
9828
9829
9830
9831
9832
9833
9834
9835
9836
9837
9838
9839
9840
9841
9842
9843
9844
9845
9846
9847
9848
9849
9850
9851
9852
9853
9854
9855
9856
9857
9858
9859
9860
9861
9862
9863
9864
9865
9866
9867
9868
9869
9870
9871
9872
9873
9874
9875
9876
9877
9878
9879
9880
9881
9882
9883
9884
9885
9886
9887
9888
9889
9890
9891
9892
9893
9894
9895
9896
9897
9898
9899
9900
9901
9902
9903
9904
9905
9906
9907
9908
9909
9910
9911
9912
9913
9914
9915
9916
9917
9918
9919
9920
9921
9922
9923
9924
9925
9926
9927
9928
9929
9930
9931
9932
9933
9934
9935
9936
9937
9938
9939
9940
9941
9942
9943
9944
9945
9946
9947
9948
9949
9950
9951
9952
9953
9954
9955
9956
9957
9958
9959
9960
9961
9962
9963
9964
9965
9966
9967
9968
9969
9970
9971
9972
9973
9974
9975
9976
9977
9978
9979
9980
9981
9982
9983
9984
9985
9986
9987
9988
9989
9990
9991
9992
9993
9994
9995
9996
9997
9998
9999
10000
10001
10002
10003
10004
10005
10006
10007
10008
10009
10010
10011
10012
10013
10014
10015
10016
10017
10018
10019
10020
10021
10022
10023
10024
10025
10026
10027
10028
10029
10030
10031
10032
10033
10034
10035
10036
10037
10038
10039
10040
10041
10042
10043
10044
10045
10046
10047
10048
10049
10050
10051
10052
10053
10054
10055
10056
10057
10058
10059
10060
10061
10062
10063
10064
10065
10066
10067
10068
10069
10070
10071
10072
10073
10074
10075
10076
10077
10078
10079
10080
10081
10082
10083
10084
10085
10086
10087
10088
10089
10090
10091
10092
10093
10094
10095
10096
10097
10098
10099
10100
10101
10102
10103
10104
10105
10106
10107
10108
10109
10110
10111
10112
10113
10114
10115
10116
10117
10118
10119
10120
10121
10122
10123
10124
10125
10126
10127
10128
10129
10130
10131
10132
10133
10134
10135
10136
10137
10138
10139
10140
10141
10142
10143
10144
10145
10146
10147
10148
10149
10150
10151
10152
10153
10154
10155
10156
10157
10158
10159
10160
10161
10162
10163
10164
10165
10166
10167
10168
10169
10170
10171
10172
10173
10174
10175
10176
10177
10178
10179
10180
10181
10182
10183
10184
10185
10186
10187
10188
10189
10190
10191
10192
10193
10194
10195
10196
10197
10198
10199
10200
10201
10202
10203
10204
10205
10206
10207
10208
10209
10210
10211
10212
10213
10214
10215
10216
10217
10218
10219
10220
10221
10222
10223
10224
10225
10226
10227
10228
10229
10230
10231
10232
10233
10234
10235
10236
10237
10238
10239
10240
10241
10242
10243
10244
10245
10246
10247
10248
10249
10250
10251
10252
10253
10254
10255
10256
10257
10258
10259
10260
10261
10262
10263
10264
10265
10266
10267
10268
10269
10270
10271
10272
10273
10274
10275
10276
10277
10278
10279
10280
10281
10282
10283
10284
10285
10286
10287
10288
10289
10290
10291
10292
10293
10294
10295
10296
10297
10298
10299
10300
10301
10302
10303
10304
10305
10306
10307
10308
10309
10310
10311
10312
10313
10314
10315
10316
10317
10318
10319
10320
10321
10322
10323
10324
10325
10326
10327
10328
10329
10330
10331
10332
10333
10334
10335
10336
10337
10338
10339
10340
10341
10342
10343
10344
10345
10346
10347
10348
10349
10350
10351
10352
10353
10354
10355
10356
10357
10358
10359
10360
10361
10362
10363
10364
10365
10366
10367
10368
10369
10370
10371
10372
10373
10374
10375
10376
10377
10378
10379
10380
10381
10382
10383
10384
10385
10386
10387
10388
10389
10390
10391
10392
10393
10394
10395
10396
10397
10398
10399
10400
10401
10402
10403
10404
10405
10406
10407
10408
10409
10410
10411
10412
10413
10414
10415
10416
10417
10418
10419
10420
10421
10422
10423
10424
10425
10426
10427
10428
10429
10430
10431
10432
10433
10434
10435
10436
10437
10438
10439
10440
10441
10442
10443
10444
10445
10446
10447
10448
10449
10450
10451
10452
10453
10454
10455
10456
10457
10458
10459
10460
10461
10462
10463
10464
10465
10466
10467
10468
10469
10470
10471
10472
10473
10474
10475
10476
10477
10478
10479
10480
10481
10482
10483
10484
10485
10486
10487
10488
10489
10490
10491
10492
10493
10494
10495
10496
10497
10498
10499
10500
10501
10502
10503
10504
10505
10506
10507
10508
10509
10510
10511
10512
10513
10514
10515
10516
10517
10518
10519
10520
10521
10522
10523
10524
10525
10526
10527
10528
10529
10530
10531
10532
10533
10534
10535
10536
10537
10538
10539
10540
10541
10542
10543
10544
10545
10546
10547
10548
10549
10550
10551
10552
10553
10554
10555
10556
10557
10558
10559
10560
10561
10562
10563
10564
10565
10566
10567
10568
10569
10570
10571
10572
10573
10574
10575
10576
10577
10578
10579
10580
10581
10582
10583
10584
10585
10586
10587
10588
10589
10590
10591
10592
10593
10594
10595
10596
10597
10598
10599
10600
10601
10602
10603
10604
10605
10606
10607
10608
10609
10610
10611
10612
10613
10614
10615
10616
10617
10618
10619
10620
10621
10622
10623
10624
10625
10626
10627
10628
10629
10630
10631
10632
10633
10634
10635
10636
10637
10638
10639
10640
10641
10642
10643
10644
10645
10646
10647
10648
10649
10650
10651
10652
10653
10654
10655
10656
10657
10658
10659
10660
10661
10662
10663
10664
10665
10666
10667
10668
10669
10670
10671
10672
10673
10674
10675
10676
10677
10678
10679
10680
10681
10682
10683
10684
10685
10686
10687
10688
10689
10690
10691
10692
10693
10694
10695
10696
10697
10698
10699
10700
10701
10702
10703
10704
10705
10706
10707
10708
10709
10710
10711
10712
10713
10714
10715
10716
10717
10718
10719
10720
10721
10722
10723
10724
10725
10726
10727
10728
10729
10730
10731
10732
10733
10734
10735
10736
10737
10738
10739
10740
10741
10742
10743
10744
10745
10746
10747
10748
10749
10750
10751
10752
10753
10754
10755
10756
10757
10758
10759
10760
10761
10762
10763
10764
10765
10766
10767
10768
10769
10770
10771
10772
10773
10774
10775
10776
10777
10778
10779
10780
10781
10782
10783
10784
10785
10786
10787
10788
10789
10790
10791
10792
10793
10794
10795
10796
10797
10798
10799
10800
10801
10802
10803
10804
10805
10806
10807
10808
10809
10810
10811
10812
10813
10814
10815
10816
10817
10818
10819
10820
10821
10822
10823
10824
10825
10826
10827
10828
10829
10830
10831
10832
10833
10834
10835
10836
10837
10838
10839
10840
10841
10842
10843
10844
10845
10846
10847
10848
10849
10850
10851
10852
10853
10854
10855
10856
10857
10858
10859
10860
10861
10862
10863
10864
10865
10866
10867
10868
10869
10870
10871
10872
10873
10874
10875
10876
10877
10878
10879
10880
10881
10882
10883
10884
10885
10886
10887
10888
10889
10890
10891
10892
10893
10894
10895
10896
10897
10898
10899
10900
10901
10902
10903
10904
10905
10906
10907
10908
10909
10910
10911
10912
10913
10914
10915
10916
10917
10918
10919
10920
10921
10922
10923
10924
10925
10926
10927
10928
10929
10930
10931
10932
10933
10934
10935
10936
10937
10938
10939
10940
10941
10942
10943
10944
10945
10946
10947
10948
10949
10950
10951
10952
10953
10954
10955
10956
10957
10958
10959
10960
10961
10962
10963
10964
10965
10966
10967
10968
10969
10970
10971
10972
10973
10974
10975
10976
10977
10978
10979
10980
10981
10982
10983
10984
10985
10986
10987
10988
10989
10990
10991
10992
10993
10994
10995
10996
10997
10998
10999
11000
11001
11002
11003
11004
11005
11006
11007
11008
11009
11010
11011
11012
11013
11014
11015
11016
11017
11018
11019
11020
11021
11022
11023
11024
11025
11026
11027
11028
11029
11030
11031
11032
11033
11034
11035
11036
11037
11038
11039
11040
11041
11042
11043
11044
11045
11046
11047
11048
11049
11050
11051
11052
11053
11054
11055
11056
11057
11058
11059
11060
11061
11062
11063
11064
11065
11066
11067
11068
11069
11070
11071
11072
11073
11074
11075
11076
11077
11078
11079
11080
11081
11082
11083
11084
11085
11086
11087
11088
11089
11090
11091
11092
11093
11094
11095
11096
11097
11098
11099
11100
11101
11102
11103
11104
11105
11106
11107
11108
11109
11110
11111
11112
11113
11114
11115
11116
11117
11118
11119
11120
11121
11122
11123
11124
11125
11126
11127
11128
11129
11130
11131
11132
11133
11134
11135
11136
11137
11138
11139
11140
11141
11142
11143
11144
11145
11146
11147
11148
11149
11150
11151
11152
11153
11154
11155
11156
11157
11158
11159
11160
11161
11162
11163
11164
11165
11166
11167
11168
11169
11170
11171
11172
11173
11174
11175
11176
11177
11178
11179
11180
11181
11182
11183
11184
11185
11186
11187
11188
11189
11190
11191
11192
11193
11194
11195
11196
11197
11198
11199
11200
11201
11202
11203
11204
11205
11206
11207
11208
11209
11210
11211
11212
11213
11214
11215
11216
11217
11218
11219
11220
11221
11222
11223
11224
11225
11226
11227
11228
11229
11230
11231
11232
11233
11234
11235
11236
11237
11238
11239
11240
11241
11242
11243
11244
11245
11246
11247
11248
11249
11250
11251
11252
11253
11254
11255
11256
11257
11258
11259
11260
11261
11262
11263
11264
11265
11266
11267
11268
11269
11270
11271
11272
11273
11274
11275
11276
11277
11278
11279
11280
11281
11282
11283
11284
11285
11286
11287
11288
11289
11290
11291
11292
11293
11294
11295
11296
11297
11298
11299
11300
11301
11302
11303
11304
11305
11306
11307
11308
11309
11310
11311
11312
11313
11314
11315
11316
11317
11318
11319
11320
11321
11322
11323
11324
11325
11326
11327
11328
11329
11330
11331
11332
11333
11334
11335
11336
11337
11338
11339
11340
11341
11342
11343
11344
11345
11346
11347
11348
11349
11350
11351
11352
11353
11354
11355
11356
11357
11358
11359
11360
11361
11362
11363
11364
11365
11366
11367
11368
11369
11370
11371
11372
11373
11374
11375
11376
11377
11378
11379
11380
11381
11382
11383
11384
11385
11386
11387
11388
11389
11390
11391
11392
11393
11394
11395
11396
11397
11398
11399
11400
11401
11402
11403
11404
11405
11406
11407
11408
11409
11410
11411
11412
11413
11414
11415
11416
11417
11418
11419
11420
11421
11422
11423
11424
11425
11426
11427
11428
11429
11430
11431
11432
11433
11434
11435
11436
11437
11438
11439
11440
11441
11442
11443
11444
11445
11446
11447
11448
11449
11450
11451
11452
11453
11454
11455
11456
11457
11458
11459
11460
11461
11462
11463
11464
11465
11466
11467
11468
11469
11470
11471
11472
11473
11474
11475
11476
11477
11478
11479
11480
11481
11482
11483
11484
11485
11486
11487
11488
11489
11490
11491
11492
11493
11494
11495
11496
11497
11498
11499
11500
11501
11502
11503
11504
11505
11506
11507
11508
11509
11510
11511
11512
11513
11514
11515
11516
11517
11518
11519
11520
11521
11522
11523
11524
11525
11526
11527
11528
11529
11530
11531
11532
11533
11534
11535
11536
11537
11538
11539
11540
11541
11542
11543
11544
11545
11546
11547
11548
11549
11550
11551
11552
11553
11554
11555
11556
11557
11558
11559
11560
11561
11562
11563
11564
11565
11566
11567
11568
11569
11570
11571
11572
11573
11574
11575
11576
11577
11578
11579
11580
11581
11582
11583
11584
11585
11586
11587
11588
11589
11590
11591
11592
11593
11594
11595
11596
11597
11598
11599
11600
11601
11602
11603
11604
11605
11606
11607
11608
11609
11610
11611
11612
11613
11614
11615
11616
11617
11618
11619
11620
11621
11622
11623
11624
11625
11626
11627
11628
11629
11630
11631
11632
11633
11634
11635
11636
11637
11638
11639
11640
11641
11642
11643
11644
11645
11646
11647
11648
11649
11650
11651
11652
11653
11654
11655
11656
11657
11658
11659
11660
11661
11662
11663
11664
11665
11666
11667
11668
11669
11670
11671
11672
11673
11674
11675
11676
11677
11678
11679
11680
11681
11682
11683
11684
11685
11686
11687
11688
11689
11690
11691
11692
11693
11694
11695
11696
11697
11698
11699
11700
11701
11702
11703
11704
11705
11706
11707
11708
11709
11710
11711
11712
11713
11714
11715
11716
11717
11718
11719
11720
11721
11722
11723
11724
11725
11726
11727
11728
11729
11730
11731
11732
11733
11734
11735
11736
11737
11738
11739
11740
11741
11742
11743
11744
11745
11746
11747
11748
11749
11750
11751
11752
11753
11754
11755
11756
11757
11758
11759
11760
11761
11762
11763
11764
11765
11766
11767
11768
11769
11770
11771
11772
11773
11774
11775
11776
11777
11778
11779
11780
11781
11782
11783
11784
11785
11786
11787
11788
11789
11790
11791
11792
11793
11794
11795
11796
11797
11798
11799
11800
11801
11802
11803
11804
11805
11806
11807
11808
11809
11810
11811
11812
11813
11814
11815
11816
11817
11818
11819
11820
11821
11822
11823
11824
11825
11826
11827
11828
11829
11830
11831
11832
11833
11834
11835
11836
11837
11838
11839
11840
11841
11842
11843
11844
11845
11846
11847
11848
11849
11850
11851
11852
11853
11854
11855
11856
11857
11858
11859
11860
11861
11862
11863
11864
11865
11866
11867
11868
11869
11870
11871
11872
11873
11874
11875
11876
11877
11878
11879
11880
11881
11882
11883
11884
11885
11886
11887
11888
11889
11890
11891
11892
11893
11894
11895
11896
11897
11898
11899
11900
11901
11902
11903
11904
11905
11906
11907
11908
11909
11910
11911
11912
11913
11914
11915
11916
11917
11918
11919
11920
11921
11922
11923
11924
11925
11926
11927
11928
11929
11930
11931
11932
11933
11934
11935
11936
11937
11938
11939
11940
11941
11942
11943
11944
11945
11946
11947
11948
11949
11950
11951
11952
11953
11954
11955
11956
11957
11958
11959
11960
11961
11962
11963
11964
11965
11966
11967
11968
11969
11970
11971
11972
11973
11974
11975
11976
11977
11978
11979
11980
11981
11982
11983
11984
11985
11986
11987
11988
11989
11990
11991
11992
11993
11994
11995
11996
11997
11998
11999
12000
12001
12002
12003
12004
12005
12006
12007
12008
12009
12010
12011
12012
12013
12014
12015
12016
12017
12018
12019
12020
12021
12022
12023
12024
12025
12026
12027
12028
12029
12030
12031
12032
12033
12034
12035
12036
12037
12038
12039
12040
12041
12042
12043
12044
12045
12046
12047
12048
12049
12050
12051
12052
12053
12054
12055
12056
12057
12058
12059
12060
12061
12062
12063
12064
12065
12066
12067
12068
12069
12070
12071
12072
12073
12074
12075
12076
12077
12078
12079
12080
12081
12082
12083
12084
12085
12086
12087
12088
12089
12090
12091
12092
12093
12094
12095
12096
12097
12098
12099
12100
12101
12102
12103
12104
12105
12106
12107
12108
12109
12110
12111
12112
12113
12114
12115
12116
12117
12118
12119
12120
12121
12122
12123
12124
12125
12126
12127
12128
12129
12130
12131
12132
12133
12134
12135
12136
12137
12138
12139
12140
12141
12142
12143
12144
12145
12146
12147
12148
12149
12150
12151
12152
12153
12154
12155
12156
12157
12158
12159
12160
12161
12162
12163
12164
12165
12166
12167
12168
12169
12170
12171
12172
12173
12174
12175
12176
12177
12178
12179
12180
12181
12182
12183
12184
12185
12186
12187
12188
12189
12190
12191
12192
12193
12194
12195
12196
12197
12198
12199
12200
12201
12202
12203
12204
12205
12206
12207
12208
12209
12210
12211
12212
12213
12214
12215
12216
12217
12218
12219
12220
12221
12222
12223
12224
12225
12226
12227
12228
12229
12230
12231
12232
12233
12234
12235
12236
12237
12238
12239
12240
12241
12242
12243
12244
12245
12246
12247
12248
12249
12250
12251
12252
12253
12254
12255
12256
12257
12258
12259
12260
12261
12262
12263
12264
12265
12266
12267
12268
12269
12270
12271
12272
12273
12274
12275
12276
12277
12278
12279
12280
12281
12282
12283
12284
12285
12286
12287
12288
12289
12290
12291
12292
12293
12294
12295
12296
12297
12298
12299
12300
12301
12302
12303
12304
12305
12306
12307
12308
12309
12310
12311
12312
12313
12314
12315
12316
12317
12318
12319
12320
12321
12322
12323
12324
12325
12326
12327
12328
12329
12330
12331
12332
12333
12334
12335
12336
12337
12338
12339
12340
12341
12342
12343
12344
12345
12346
12347
12348
12349
12350
12351
12352
12353
12354
12355
12356
12357
12358
12359
12360
12361
12362
12363
12364
12365
12366
12367
12368
12369
12370
12371
12372
12373
12374
12375
12376
12377
12378
12379
12380
12381
12382
12383
12384
12385
12386
12387
12388
12389
12390
12391
12392
12393
12394
12395
12396
12397
12398
12399
12400
12401
12402
12403
12404
12405
12406
12407
12408
12409
12410
12411
12412
12413
12414
12415
12416
12417
12418
12419
12420
12421
12422
12423
12424
12425
12426
12427
12428
12429
12430
12431
12432
12433
12434
12435
12436
12437
12438
12439
12440
12441
12442
12443
12444
12445
12446
12447
12448
12449
12450
12451
12452
12453
12454
12455
12456
12457
12458
12459
12460
12461
12462
12463
12464
12465
12466
12467
12468
12469
12470
12471
12472
12473
12474
12475
12476
12477
12478
12479
12480
12481
12482
12483
12484
12485
12486
12487
12488
12489
12490
12491
12492
12493
12494
12495
12496
12497
12498
12499
12500
12501
12502
12503
12504
12505
12506
12507
12508
12509
12510
12511
12512
12513
12514
12515
12516
12517
12518
12519
12520
12521
12522
12523
12524
12525
12526
12527
12528
12529
12530
12531
12532
12533
12534
12535
12536
12537
12538
12539
12540
12541
12542
12543
12544
12545
12546
12547
12548
12549
12550
12551
12552
12553
12554
12555
12556
12557
12558
12559
12560
12561
12562
12563
12564
12565
12566
12567
12568
12569
12570
12571
12572
12573
12574
12575
12576
12577
12578
12579
12580
12581
12582
12583
12584
12585
12586
12587
12588
12589
12590
12591
12592
12593
12594
12595
12596
12597
12598
12599
12600
12601
12602
12603
12604
12605
12606
12607
12608
12609
12610
12611
12612
12613
12614
12615
12616
12617
12618
12619
12620
12621
12622
12623
12624
12625
12626
12627
12628
12629
12630
12631
12632
12633
12634
12635
12636
12637
12638
12639
12640
12641
12642
12643
12644
12645
12646
12647
12648
12649
12650
12651
12652
12653
12654
12655
12656
12657
12658
12659
12660
12661
12662
12663
12664
12665
12666
12667
12668
12669
12670
12671
12672
12673
12674
12675
12676
12677
12678
12679
12680
12681
12682
12683
12684
12685
12686
12687
12688
12689
12690
12691
12692
12693
12694
12695
12696
12697
12698
12699
12700
12701
12702
12703
12704
12705
12706
12707
12708
12709
12710
12711
12712
12713
12714
12715
12716
12717
12718
12719
12720
12721
12722
12723
12724
12725
12726
12727
12728
12729
12730
12731
12732
12733
12734
12735
12736
12737
12738
12739
12740
12741
12742
12743
12744
12745
12746
12747
12748
12749
12750
12751
12752
12753
12754
12755
12756
12757
12758
12759
12760
12761
12762
12763
12764
12765
12766
12767
12768
12769
12770
12771
12772
12773
12774
12775
12776
12777
12778
12779
12780
12781
12782
12783
12784
12785
12786
12787
12788
12789
12790
12791
12792
12793
12794
12795
12796
12797
12798
12799
12800
12801
12802
12803
12804
12805
12806
12807
12808
12809
12810
12811
12812
12813
12814
12815
12816
12817
12818
12819
12820
12821
12822
12823
12824
12825
12826
12827
12828
12829
12830
12831
12832
12833
12834
12835
12836
12837
12838
12839
12840
12841
12842
12843
12844
12845
12846
12847
12848
12849
12850
12851
12852
12853
12854
12855
12856
12857
12858
12859
12860
12861
12862
12863
12864
12865
12866
12867
12868
12869
12870
12871
12872
12873
12874
12875
12876
12877
12878
12879
12880
12881
12882
12883
12884
12885
12886
12887
12888
12889
12890
12891
12892
12893
12894
12895
12896
12897
12898
12899
12900
12901
12902
12903
12904
12905
12906
12907
12908
12909
12910
12911
12912
12913
12914
12915
12916
12917
12918
12919
12920
12921
12922
12923
12924
12925
12926
12927
12928
12929
12930
12931
12932
12933
12934
12935
12936
12937
12938
12939
12940
12941
12942
12943
12944
12945
12946
12947
12948
12949
12950
12951
12952
12953
12954
12955
12956
12957
12958
12959
12960
12961
12962
12963
12964
12965
12966
12967
12968
12969
12970
12971
12972
12973
12974
12975
12976
12977
12978
12979
12980
12981
12982
12983
12984
12985
12986
12987
12988
12989
12990
12991
12992
12993
12994
12995
12996
12997
12998
12999
13000
13001
13002
13003
13004
13005
13006
13007
13008
13009
13010
13011
13012
13013
13014
13015
13016
13017
13018
13019
13020
13021
13022
13023
13024
13025
13026
13027
13028
13029
13030
13031
13032
13033
13034
13035
13036
13037
13038
13039
13040
13041
13042
13043
13044
13045
13046
13047
13048
13049
13050
13051
13052
13053
13054
13055
13056
13057
13058
13059
13060
13061
13062
13063
13064
13065
13066
13067
13068
13069
13070
13071
13072
13073
13074
13075
13076
13077
13078
13079
13080
13081
13082
13083
13084
13085
13086
13087
13088
13089
13090
13091
13092
13093
13094
13095
13096
13097
13098
13099
13100
13101
13102
13103
13104
13105
13106
13107
13108
13109
13110
13111
13112
13113
13114
13115
13116
13117
13118
13119
13120
13121
13122
13123
13124
13125
13126
13127
13128
13129
13130
13131
13132
13133
13134
13135
13136
13137
13138
13139
13140
13141
13142
13143
13144
13145
13146
13147
13148
13149
13150
13151
13152
13153
13154
13155
13156
13157
13158
13159
13160
13161
13162
13163
13164
13165
13166
13167
13168
13169
13170
13171
13172
13173
13174
13175
13176
13177
13178
13179
13180
13181
13182
13183
13184
13185
13186
13187
13188
13189
13190
13191
13192
13193
13194
13195
13196
13197
13198
13199
13200
13201
13202
13203
13204
13205
13206
13207
13208
13209
13210
13211
13212
13213
13214
13215
13216
13217
13218
13219
13220
13221
13222
13223
13224
13225
13226
13227
13228
13229
13230
13231
13232
13233
13234
13235
13236
13237
13238
13239
13240
13241
13242
13243
13244
13245
13246
13247
13248
13249
13250
13251
13252
13253
13254
13255
13256
13257
13258
13259
13260
13261
13262
13263
13264
13265
13266
13267
13268
13269
13270
13271
13272
13273
13274
13275
13276
13277
13278
13279
13280
13281
13282
13283
13284
13285
13286
13287
13288
13289
13290
13291
13292
13293
13294
13295
13296
13297
13298
13299
13300
13301
13302
13303
13304
13305
13306
13307
13308
13309
13310
13311
13312
13313
13314
13315
13316
13317
13318
13319
13320
13321
13322
13323
13324
13325
13326
13327
13328
13329
13330
13331
13332
13333
13334
13335
13336
13337
13338
13339
13340
13341
13342
13343
13344
13345
13346
13347
13348
13349
13350
13351
13352
13353
13354
13355
13356
13357
13358
13359
13360
13361
13362
13363
13364
13365
13366
13367
13368
13369
13370
13371
13372
13373
13374
13375
13376
13377
13378
13379
13380
13381
13382
13383
13384
13385
13386
13387
13388
13389
13390
13391
13392
13393
13394
13395
13396
13397
13398
13399
13400
13401
13402
13403
13404
13405
13406
13407
13408
13409
13410
13411
13412
13413
13414
13415
13416
13417
13418
13419
13420
13421
13422
13423
13424
13425
13426
13427
13428
13429
13430
13431
13432
13433
13434
13435
13436
13437
13438
13439
13440
13441
13442
13443
13444
13445
13446
13447
13448
13449
13450
13451
13452
13453
13454
13455
13456
13457
13458
13459
13460
13461
13462
13463
13464
13465
13466
13467
13468
13469
13470
13471
13472
13473
13474
13475
13476
13477
13478
13479
13480
13481
13482
13483
13484
13485
13486
13487
13488
13489
13490
13491
13492
13493
13494
13495
13496
13497
13498
13499
13500
13501
13502
13503
13504
13505
13506
13507
13508
13509
13510
13511
13512
13513
13514
13515
13516
13517
13518
13519
13520
13521
13522
13523
13524
13525
13526
13527
13528
13529
13530
13531
13532
13533
13534
13535
13536
13537
13538
13539
13540
13541
13542
13543
13544
13545
13546
13547
13548
13549
13550
13551
13552
13553
13554
13555
13556
13557
13558
13559
13560
13561
13562
13563
13564
13565
13566
13567
13568
13569
13570
13571
13572
13573
13574
13575
13576
13577
13578
13579
13580
13581
13582
13583
13584
13585
13586
13587
13588
13589
13590
13591
13592
13593
13594
13595
13596
13597
13598
13599
13600
13601
13602
13603
13604
13605
13606
13607
13608
13609
13610
13611
13612
13613
13614
13615
13616
13617
13618
13619
13620
13621
13622
13623
13624
13625
13626
13627
13628
13629
13630
13631
13632
13633
13634
13635
13636
13637
13638
13639
13640
13641
13642
13643
13644
13645
13646
13647
13648
13649
13650
13651
13652
13653
13654
13655
13656
13657
13658
13659
13660
13661
13662
13663
13664
13665
13666
13667
13668
13669
13670
13671
13672
13673
13674
13675
13676
13677
13678
13679
13680
13681
13682
13683
13684
13685
13686
13687
13688
13689
13690
13691
13692
13693
13694
13695
13696
13697
13698
13699
13700
13701
13702
13703
13704
13705
13706
13707
13708
13709
13710
13711
13712
13713
13714
13715
13716
13717
13718
13719
13720
13721
13722
13723
13724
13725
13726
13727
13728
13729
13730
13731
13732
13733
13734
13735
13736
13737
13738
13739
13740
13741
13742
13743
13744
13745
13746
13747
13748
13749
13750
13751
13752
13753
13754
13755
13756
13757
13758
13759
13760
13761
13762
13763
13764
13765
13766
13767
13768
13769
13770
13771
13772
13773
13774
13775
13776
13777
13778
13779
13780
13781
13782
13783
13784
13785
13786
13787
13788
13789
13790
13791
13792
13793
13794
13795
13796
13797
13798
13799
13800
13801
13802
13803
13804
13805
13806
13807
13808
13809
13810
13811
13812
13813
13814
13815
13816
13817
13818
13819
13820
13821
13822
13823
13824
13825
13826
13827
13828
13829
13830
13831
13832
13833
13834
13835
13836
13837
13838
13839
13840
13841
13842
13843
13844
13845
13846
13847
13848
13849
13850
13851
13852
13853
13854
13855
13856
13857
13858
13859
13860
13861
13862
13863
13864
13865
13866
13867
13868
13869
13870
13871
13872
13873
13874
13875
13876
13877
13878
13879
13880
13881
13882
13883
13884
13885
13886
13887
13888
13889
13890
13891
13892
13893
13894
13895
13896
13897
13898
13899
13900
13901
13902
13903
13904
13905
13906
13907
13908
13909
13910
13911
13912
13913
13914
13915
13916
13917
13918
13919
13920
13921
13922
13923
13924
13925
13926
13927
13928
13929
13930
13931
13932
13933
13934
13935
13936
13937
13938
13939
13940
13941
13942
13943
13944
13945
13946
13947
13948
13949
13950
13951
13952
13953
13954
13955
13956
13957
13958
13959
13960
13961
13962
13963
13964
13965
13966
13967
13968
13969
13970
13971
13972
13973
13974
13975
13976
13977
13978
13979
13980
13981
13982
13983
13984
13985
13986
13987
13988
13989
13990
13991
13992
13993
13994
13995
13996
13997
13998
13999
14000
14001
14002
14003
14004
14005
14006
14007
14008
14009
14010
14011
14012
14013
14014
14015
14016
14017
14018
14019
14020
14021
14022
14023
14024
14025
14026
14027
14028
14029
14030
14031
14032
14033
14034
14035
14036
14037
14038
14039
14040
14041
14042
14043
14044
14045
14046
14047
14048
14049
14050
14051
14052
14053
14054
14055
14056
14057
14058
14059
14060
14061
14062
14063
14064
14065
14066
14067
14068
14069
14070
14071
14072
14073
14074
14075
14076
14077
14078
14079
14080
14081
14082
14083
14084
14085
14086
14087
14088
14089
14090
14091
14092
14093
14094
14095
14096
14097
14098
14099
14100
14101
14102
14103
14104
14105
14106
14107
14108
14109
14110
14111
14112
14113
14114
14115
14116
14117
14118
14119
14120
14121
14122
14123
14124
14125
14126
14127
14128
14129
14130
14131
14132
14133
14134
14135
14136
14137
14138
14139
14140
14141
14142
14143
14144
14145
14146
14147
14148
14149
14150
14151
14152
14153
14154
14155
14156
14157
14158
14159
14160
14161
14162
14163
14164
14165
14166
14167
14168
14169
14170
14171
14172
14173
14174
14175
14176
14177
14178
14179
14180
14181
14182
14183
14184
14185
14186
14187
14188
14189
14190
14191
14192
14193
14194
14195
14196
14197
14198
14199
14200
14201
14202
14203
14204
14205
14206
14207
14208
14209
14210
14211
14212
14213
14214
14215
14216
14217
14218
14219
14220
14221
14222
14223
14224
14225
14226
14227
14228
14229
14230
14231
14232
14233
14234
14235
14236
14237
14238
14239
14240
14241
14242
14243
14244
14245
14246
14247
14248
14249
14250
14251
14252
14253
14254
14255
14256
14257
14258
14259
14260
14261
14262
14263
14264
14265
14266
14267
14268
14269
14270
14271
14272
14273
14274
14275
14276
14277
14278
14279
14280
14281
14282
14283
14284
14285
14286
14287
14288
14289
14290
14291
14292
14293
14294
14295
14296
14297
14298
14299
14300
14301
14302
14303
14304
14305
14306
14307
14308
14309
14310
14311
14312
14313
14314
14315
14316
14317
14318
14319
14320
14321
14322
14323
14324
14325
14326
14327
14328
14329
14330
14331
14332
14333
14334
14335
14336
14337
14338
14339
14340
14341
14342
14343
14344
14345
14346
14347
14348
14349
14350
14351
14352
14353
14354
14355
14356
14357
14358
14359
14360
14361
14362
14363
14364
14365
14366
14367
14368
14369
14370
14371
14372
14373
14374
14375
14376
14377
14378
14379
14380
14381
14382
14383
14384
14385
14386
14387
14388
14389
14390
14391
14392
14393
14394
14395
14396
14397
14398
14399
14400
14401
14402
14403
14404
14405
14406
14407
14408
14409
14410
14411
14412
14413
14414
14415
14416
14417
14418
14419
14420
14421
14422
14423
14424
14425
14426
14427
14428
14429
14430
14431
14432
14433
14434
14435
14436
14437
14438
14439
14440
14441
14442
14443
14444
14445
14446
14447
14448
14449
14450
14451
14452
14453
14454
14455
14456
14457
14458
14459
14460
14461
14462
14463
14464
14465
14466
14467
14468
14469
14470
14471
14472
14473
14474
14475
14476
14477
14478
14479
14480
14481
14482
14483
14484
14485
14486
14487
14488
14489
14490
14491
14492
14493
14494
14495
14496
14497
14498
14499
14500
14501
14502
14503
14504
14505
14506
14507
14508
14509
14510
14511
14512
14513
14514
14515
14516
14517
14518
14519
14520
14521
14522
14523
14524
14525
14526
14527
14528
14529
14530
14531
14532
14533
14534
14535
14536
14537
14538
14539
14540
14541
14542
14543
14544
14545
14546
14547
14548
14549
14550
14551
14552
14553
14554
14555
14556
14557
14558
14559
14560
14561
14562
14563
14564
14565
14566
14567
14568
14569
14570
14571
14572
14573
14574
14575
14576
14577
14578
14579
14580
14581
14582
14583
14584
14585
14586
14587
14588
14589
14590
14591
14592
14593
14594
14595
14596
14597
14598
14599
14600
14601
14602
14603
14604
14605
14606
14607
14608
14609
14610
14611
14612
14613
14614
14615
14616
14617
14618
14619
14620
14621
14622
14623
14624
14625
14626
14627
14628
14629
14630
14631
14632
14633
14634
14635
14636
14637
14638
14639
14640
14641
14642
14643
14644
14645
14646
14647
14648
14649
14650
14651
14652
14653
14654
14655
14656
14657
14658
14659
14660
14661
14662
14663
14664
14665
14666
14667
14668
14669
14670
14671
14672
14673
14674
14675
14676
14677
14678
14679
14680
14681
14682
14683
14684
14685
14686
14687
14688
14689
14690
14691
14692
14693
14694
14695
14696
14697
14698
14699
14700
14701
14702
14703
14704
14705
14706
14707
14708
14709
14710
14711
14712
14713
14714
14715
14716
14717
14718
14719
14720
14721
14722
14723
14724
14725
14726
14727
14728
14729
14730
14731
14732
14733
14734
14735
14736
14737
14738
14739
14740
14741
14742
14743
14744
14745
14746
14747
14748
14749
14750
14751
14752
14753
14754
14755
14756
14757
14758
14759
14760
14761
14762
14763
14764
14765
14766
14767
14768
14769
14770
14771
14772
14773
14774
14775
14776
14777
14778
14779
14780
14781
14782
14783
14784
14785
14786
14787
14788
14789
14790
14791
14792
14793
14794
14795
14796
14797
14798
14799
14800
14801
14802
14803
14804
14805
14806
14807
14808
14809
14810
14811
14812
14813
14814
14815
14816
14817
14818
14819
14820
14821
14822
14823
14824
14825
14826
14827
14828
14829
14830
14831
14832
14833
14834
14835
14836
14837
14838
14839
14840
14841
14842
14843
14844
14845
14846
14847
14848
14849
14850
14851
14852
14853
14854
14855
14856
14857
14858
14859
14860
14861
14862
14863
14864
14865
14866
14867
14868
14869
14870
14871
14872
14873
14874
14875
14876
14877
14878
14879
14880
14881
14882
14883
14884
14885
14886
14887
14888
14889
14890
14891
14892
14893
14894
14895
14896
14897
14898
14899
14900
14901
14902
14903
14904
14905
14906
14907
14908
14909
14910
14911
14912
14913
14914
14915
14916
14917
14918
14919
14920
14921
14922
14923
14924
14925
14926
14927
14928
14929
14930
14931
14932
14933
14934
14935
14936
14937
14938
14939
14940
14941
14942
14943
14944
14945
14946
14947
14948
14949
14950
14951
14952
14953
14954
14955
14956
14957
14958
14959
14960
14961
14962
14963
14964
14965
14966
14967
14968
14969
14970
14971
14972
14973
14974
14975
14976
14977
14978
14979
14980
14981
14982
14983
14984
14985
14986
14987
14988
14989
14990
14991
14992
14993
14994
14995
14996
14997
14998
14999
15000
15001
15002
15003
15004
15005
15006
15007
15008
15009
15010
15011
15012
15013
15014
15015
15016
15017
15018
15019
15020
15021
15022
15023
15024
15025
15026
15027
15028
15029
15030
15031
15032
15033
15034
15035
15036
15037
15038
15039
15040
15041
15042
15043
15044
15045
15046
15047
15048
15049
15050
15051
15052
15053
15054
15055
15056
15057
15058
15059
15060
15061
15062
15063
15064
15065
15066
15067
15068
15069
15070
15071
15072
15073
15074
15075
15076
15077
15078
15079
15080
15081
15082
15083
15084
15085
15086
15087
15088
15089
15090
15091
15092
15093
15094
15095
15096
15097
15098
15099
15100
15101
15102
15103
15104
15105
15106
15107
15108
15109
15110
15111
15112
15113
15114
15115
15116
15117
15118
15119
15120
15121
15122
15123
15124
15125
15126
15127
15128
15129
15130
15131
15132
15133
15134
15135
15136
15137
15138
15139
15140
15141
15142
15143
15144
15145
15146
15147
15148
15149
15150
15151
15152
15153
15154
15155
15156
15157
15158
15159
15160
15161
15162
15163
15164
15165
15166
15167
15168
15169
15170
15171
15172
15173
15174
15175
15176
15177
15178
15179
15180
15181
15182
15183
15184
15185
15186
15187
15188
15189
15190
15191
15192
15193
15194
15195
15196
15197
15198
15199
15200
15201
15202
15203
15204
15205
15206
15207
15208
15209
15210
15211
15212
15213
15214
15215
15216
15217
15218
15219
15220
15221
15222
15223
15224
15225
15226
15227
15228
15229
15230
15231
15232
15233
15234
15235
15236
15237
15238
15239
15240
15241
15242
15243
15244
15245
15246
15247
15248
15249
15250
15251
15252
15253
15254
15255
15256
15257
15258
15259
15260
15261
15262
15263
15264
15265
15266
15267
15268
15269
15270
15271
15272
15273
15274
15275
15276
15277
15278
15279
15280
15281
15282
15283
15284
15285
15286
15287
15288
15289
15290
15291
15292
15293
15294
15295
15296
15297
15298
15299
15300
15301
15302
15303
15304
15305
15306
15307
15308
15309
15310
15311
15312
15313
15314
15315
15316
15317
15318
15319
15320
15321
15322
15323
15324
15325
15326
15327
15328
15329
15330
15331
15332
15333
15334
15335
15336
15337
15338
15339
15340
15341
15342
15343
15344
15345
15346
15347
15348
15349
15350
15351
15352
15353
15354
15355
15356
15357
15358
15359
15360
15361
15362
15363
15364
15365
15366
15367
15368
15369
15370
15371
15372
15373
15374
15375
15376
15377
15378
15379
15380
15381
15382
15383
15384
15385
15386
15387
15388
15389
15390
15391
15392
15393
15394
15395
15396
15397
15398
15399
15400
15401
15402
15403
15404
15405
15406
15407
15408
15409
15410
15411
15412
15413
15414
15415
15416
15417
15418
15419
15420
15421
15422
15423
15424
15425
15426
15427
15428
15429
15430
15431
15432
15433
15434
15435
15436
15437
15438
15439
15440
15441
15442
15443
15444
15445
15446
15447
15448
15449
15450
15451
15452
15453
15454
15455
15456
15457
15458
15459
15460
15461
15462
15463
15464
15465
15466
15467
15468
15469
15470
15471
15472
15473
15474
15475
15476
15477
15478
15479
15480
15481
15482
15483
15484
15485
15486
15487
15488
15489
15490
15491
15492
15493
15494
15495
15496
15497
15498
15499
15500
15501
15502
15503
15504
15505
15506
15507
15508
15509
15510
15511
15512
15513
15514
15515
15516
15517
15518
15519
15520
15521
15522
15523
15524
15525
15526
15527
15528
15529
15530
15531
15532
15533
15534
15535
15536
15537
15538
15539
15540
15541
15542
15543
15544
15545
15546
15547
15548
15549
15550
15551
15552
15553
15554
15555
15556
15557
15558
15559
15560
15561
15562
15563
15564
15565
15566
15567
15568
15569
15570
15571
15572
15573
15574
15575
15576
15577
15578
15579
15580
15581
15582
15583
15584
15585
15586
15587
15588
15589
15590
15591
15592
15593
15594
15595
15596
15597
15598
15599
15600
15601
15602
15603
15604
15605
15606
15607
15608
15609
15610
15611
15612
15613
15614
15615
15616
15617
15618
15619
15620
15621
15622
15623
15624
15625
15626
15627
15628
15629
15630
15631
15632
15633
15634
15635
15636
15637
15638
15639
15640
15641
15642
15643
15644
15645
15646
15647
15648
15649
15650
15651
15652
15653
15654
15655
15656
15657
15658
15659
15660
15661
15662
15663
15664
15665
15666
15667
15668
15669
15670
15671
15672
15673
15674
15675
15676
15677
15678
15679
15680
15681
15682
15683
15684
15685
15686
15687
15688
15689
15690
15691
15692
15693
15694
15695
15696
15697
15698
15699
15700
15701
15702
15703
15704
15705
15706
15707
15708
15709
15710
15711
15712
15713
15714
15715
15716
15717
15718
15719
15720
15721
15722
15723
15724
15725
15726
15727
15728
15729
15730
15731
15732
15733
15734
15735
15736
15737
15738
15739
15740
15741
15742
15743
15744
15745
15746
15747
15748
15749
15750
15751
15752
15753
15754
15755
15756
15757
15758
15759
15760
15761
15762
15763
15764
15765
15766
15767
15768
15769
15770
15771
15772
15773
15774
15775
15776
15777
15778
15779
15780
15781
15782
15783
15784
15785
15786
15787
15788
15789
15790
15791
15792
15793
15794
15795
15796
15797
15798
15799
15800
15801
15802
15803
15804
15805
15806
15807
15808
15809
15810
15811
15812
15813
15814
15815
15816
15817
15818
15819
15820
15821
15822
15823
15824
15825
15826
15827
15828
15829
15830
15831
15832
15833
15834
15835
15836
15837
15838
15839
15840
15841
15842
15843
15844
15845
15846
15847
15848
15849
15850
15851
15852
15853
15854
15855
15856
15857
15858
15859
15860
15861
15862
15863
15864
15865
15866
15867
15868
15869
15870
15871
15872
15873
15874
15875
15876
15877
15878
15879
15880
15881
15882
15883
15884
15885
15886
15887
15888
15889
15890
15891
15892
15893
15894
15895
15896
15897
15898
15899
15900
15901
15902
15903
15904
15905
15906
15907
15908
15909
15910
15911
15912
15913
15914
15915
15916
15917
15918
15919
15920
15921
15922
15923
15924
15925
15926
15927
15928
15929
15930
15931
15932
15933
15934
15935
15936
15937
15938
15939
15940
15941
15942
15943
15944
15945
15946
15947
15948
15949
15950
15951
15952
15953
15954
15955
15956
15957
15958
15959
15960
15961
15962
15963
15964
15965
15966
15967
15968
15969
15970
15971
15972
15973
15974
15975
15976
15977
15978
15979
15980
15981
15982
15983
15984
15985
15986
15987
15988
15989
15990
15991
15992
15993
15994
15995
15996
15997
15998
15999
16000
16001
16002
16003
16004
16005
16006
16007
16008
16009
16010
16011
16012
16013
16014
16015
16016
16017
16018
16019
16020
16021
16022
16023
16024
16025
16026
16027
16028
16029
16030
16031
16032
16033
16034
16035
16036
16037
16038
16039
16040
16041
16042
16043
16044
16045
16046
16047
16048
16049
16050
16051
16052
16053
16054
16055
16056
16057
16058
16059
16060
16061
16062
16063
16064
16065
16066
16067
16068
16069
16070
16071
16072
16073
16074
16075
16076
16077
16078
16079
16080
16081
16082
16083
16084
16085
16086
16087
16088
16089
16090
16091
16092
16093
16094
16095
16096
16097
16098
16099
16100
16101
16102
16103
16104
16105
16106
16107
16108
16109
16110
16111
16112
16113
16114
16115
16116
16117
16118
16119
16120
16121
16122
%!PS-Adobe-3.0
%%Creator: Basser Lout Version 3.20 (April 2000)
%%CreationDate: Sat Apr  8 14:58:34 2000
%%DocumentData: Binary
%%DocumentNeededResources: (atend)
%%DocumentSuppliedResources: (atend)
%%DocumentMedia: A4 595 842 0 white ()
%%PageOrder: Ascend
%%Pages: (atend)
%%BoundingBox: 0 0 595 842
%%EndComments

%%BeginProlog
%%BeginResource: procset LoutStartUp
/m  { 3 1 roll moveto show } bind def
/mo { 3 1 roll moveto true charpath stroke } bind def
/s  { exch currentpoint exch pop moveto show } bind def
/so { exch currentpoint exch pop moveto true charpath stroke } bind def
/k  { exch neg 0 rmoveto show } bind def
/ko { exch neg 0 rmoveto true charpath stroke } bind def
/ul { gsave setlinewidth dup 3 1 roll
      moveto lineto stroke grestore } bind def
/in { 1440 mul } def
/cm { 567 mul } def
/pt { 20 mul } def
/em { 120 mul } def
/sp { louts mul } def
/vs { loutv mul } def
/ft { loutf mul } def
/dg {           } def

/LoutGraphic {
  /louts exch def
  /loutv exch def
  /loutf exch def
  /ymark exch def
  /xmark exch def
  /ysize exch def
  /xsize exch def
} def

/LoutGr2 { gsave translate LoutGraphic gsave } def

/LoutFont
{ findfont exch scalefont setfont
} bind def

/LoutRecode {
  { findfont dup length dict begin
    {1 index /FID ne {def} {pop pop} ifelse} forall
    /Encoding exch def
    currentdict end definefont pop
  }
  stopped pop
} bind def

/BeginEPSF {
  /LoutEPSFState save def
  /dict_count countdictstack def
  /op_count count 1 sub def
  userdict begin
  /showpage { } def
  0 setgray 0 setlinecap
  1 setlinewidth 0 setlinejoin
  10 setmiterlimit [] 0 setdash newpath
  /languagelevel where
  { pop languagelevel
    1 ne
    { false setstrokeadjust false setoverprint
    } if
  } if
} bind def

/EndEPSF {
  count op_count sub { pop } repeat
  countdictstack dict_count sub { end } repeat
  LoutEPSFState restore
} bind def
%%EndResource

%%BeginResource: encoding vec2
/vec2 [
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/space /exclam /quotedbl /numbersign /dollar /percent /ampersand /quoteright
/parenleft /parenright /asterisk /plus /comma /hyphen /period /slash
/zero /one /two /three /four /five /six /seven
/eight /nine /colon /semicolon /less /equal /greater /question
/at /A /B /C /D /E /F /G
/H /I /J /K /L /M /N /O
/P /Q /R /S /T /U /V /W
/X /Y /Z /bracketleft /backslash /bracketright /asciicircum /underscore
/quoteleft /a /b /c /d /e /f /g
/h /i /j /k /l /m /n /o
/p /q /r /s /t /u /v /w
/x /y /z /braceleft /bar /braceright /asciitilde /.notdef
/quotesinglbase /quotedblbase /ellipsis /OE /oe /quotedblleft /quotedblright /fi
/fl /endash /emdash /bullet /dagger /daggerdbl /florin /fraction
/dotlessi /grave /acute /circumflex /tilde /macron /breve /dotaccent
/dieresis /.notdef /ring /cedilla /.notdef /hungarumlaut /ogonek /caron
/space /exclamdown /cent /sterling /currency /yen /brokenbar /section
/dieresis /copyright /ordfeminine /guillemotleft /logicalnot /hyphen /registered /macron
/degree /plusminus /twosuperior /threesuperior /acute /mu /paragraph /periodcentered
/cedilla /onesuperior /ordmasculine /guillemotright /onequarter /onehalf /threequarters /questiondown
/Agrave /Aacute /Acircumflex /Atilde /Adieresis /Aring /AE /Ccedilla
/Egrave /Eacute /Ecircumflex /Edieresis /Igrave /Iacute /Icircumflex /Idieresis
/Eth /Ntilde /Ograve /Oacute /Ocircumflex /Otilde /Odieresis /multiply
/Oslash /Ugrave /Uacute /Ucircumflex /Udieresis /Yacute /Thorn /germandbls
/agrave /aacute /acircumflex /atilde /adieresis /aring /ae /ccedilla
/egrave /eacute /ecircumflex /edieresis /igrave /iacute /icircumflex /idieresis
/eth /ntilde /ograve /oacute /ocircumflex /otilde /odieresis /divide
/oslash /ugrave /uacute /ucircumflex /udieresis /yacute /thorn /ydieresis
] def
%%EndResource

%%BeginResource: procset LoutTabPrependGraphic
% @PrependGraphic file /export/home/6monthspace/jeff/lout.lib/include/tabf.lpg
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                  %
%  PostScript @SysPrependGraphic file for @Tab     %
%                                                  %
%  To assist in avoiding name clashes, the names   %
%  of all these symbols begin with "ltab".         %
%                                                  %
%  Jeffrey H. Kingston                             %
%  24 September 1991                               %
%  22 December 1992                                %
%                                                  %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% linewidth ltabhs -
% horizontal single line
/ltabhs
{  0 0 moveto xsize 0 lineto
   setlinewidth 0 setlinecap stroke
} def

% linewidth ltabhsp -
% horizontal single line with projecting ends
/ltabhsp
{  0 0 moveto xsize 0 lineto
   setlinewidth 2 setlinecap stroke
} def

% linewidth ltabhd -
% horizontal double line
/ltabhd
{  dup dup
   0 0 moveto xsize 0 lineto
   0 exch 3 mul moveto xsize exch 3 mul lineto
   setlinewidth 0 setlinecap stroke
} def

% linewidth ltabhdb -
% horizontal double line below mark
/ltabhdb
{  dup dup
   0 0 moveto xsize 0 lineto
   0 exch -3 mul moveto xsize exch -3 mul lineto
   setlinewidth 0 setlinecap stroke
} def

% linewidth ltabhdnw -
% horizontal double line with northwest corner
/ltabhdnw
{  dup dup dup dup
   0 0 moveto xsize 0 lineto
   xsize exch 3 mul moveto
   -3 mul exch 3 mul lineto
   -3 mul 0 lineto
   setlinewidth 0 setlinejoin 2 setlinecap stroke
} def

% linewidth ltabhdne -
% horizontal double line with northeast corner
/ltabhdne
{  dup dup dup dup
   0 0 moveto xsize 0 lineto
   0 exch 3 mul moveto
   3 mul xsize add exch 3 mul lineto
   3 mul xsize add 0 lineto
   setlinewidth 0 setlinejoin 2 setlinecap stroke
} def

% linewidth ltabhdsw -
% horizontal double line with southwest corner
/ltabhdsw
{  dup dup dup dup
   0 0 moveto xsize 0 lineto
   xsize exch -3 mul moveto
   -3 mul exch -3 mul lineto
   -3 mul 0 lineto
   setlinewidth 0 setlinejoin 2 setlinecap stroke
} def

% linewidth ltabhdse -
% horizontal double line with southeast corner
/ltabhdse
{  dup dup dup dup
   0 0 moveto xsize 0 lineto
   0 exch -3 mul moveto
   3 mul xsize add exch -3 mul lineto
   3 mul xsize add 0 lineto
   setlinewidth 0 setlinejoin 2 setlinecap stroke
} def

% linewidth ltabvs -
% vertical single line
/ltabvs
{  0 0 moveto 0 ysize lineto
   setlinewidth 0 setlinecap stroke
} def

% linewidth ltabvd -
% vertical double line
/ltabvd
{  dup dup
   0 0 moveto 0 ysize lineto
   -3 mul 0 moveto -3 mul ysize lineto
   setlinewidth 0 setlinecap stroke
} def

% linewidth ltabvdr -
% vertical double line to right of mark
/ltabvdr
{  dup dup
   0 0 moveto 0 ysize lineto
   3 mul 0 moveto 3 mul ysize lineto
   setlinewidth 0 setlinecap stroke
} def
%%EndResource

%%BeginResource: procset LoutFigPrependGraphic
% @PrependGraphic file /export/home/6monthspace/jeff/lout.lib/include/figf.lpg
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                    %
%  PostScript @SysPrependGraphic file for @Fig  Jeffrey H. Kingston  %
%  Version 2.0 (includes CIRCUM label)                 January 1992  %
%                                                                    %
%  To assist in avoiding name clashes, the names of all symbols      %
%  defined here begin with "lfig".  However, this is not feasible    %
%  with user-defined labels and some labels used by users.           %
%                                                                    %
%  <point>      is two numbers, a point.                             %
%  <length>     is one number, a length                              %
%  <angle>      is one number, an angle in degrees                   %
%  <dashlength> is one number, the preferred length of a dash        %
%                                                                    %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

errordict begin
   /handleerror
   {
      {  /Times-Roman findfont 8 pt scalefont setfont
	 0 setgray 4 pt 4 pt moveto
	 $error /errorname get
	 dup lfigdict exch known
	 { lfigdict exch get }
	 { 30 string cvs } ifelse
	 show
	 (  Command: ) show
	 $error /command get 30 string cvs show
      } stopped {} if
      showpage stop
   } def
end

% concat strings: <string> <string> lfigconcat <string>
% must be defined outside lfigdict since used in lfigpromotelabels
/lfigconcat
{ 2 copy length exch length add string
  dup 0 4 index putinterval
  dup 3 index length 3 index putinterval
  3 1 roll pop pop
} def

% <string> lfigdebugprint -
% must be defined outside lfigdict since used in arbitrary places
% /lfigdebugprint
% { print
%   (;  operand stack:\n) print
%   count copy
%   count 2 idiv
%   { ==
%     (\n) print
%   } repeat
%   (\n) print
% } def

/lfigdict 120 dict def
lfigdict begin

% error messages
/dictfull (dictfull error:  too many labels?) def
/dictstackoverflow (dictstackoverflow error:  labels nested too deeply?) def
/execstackoverflow (execstackoverflow error:  figure nested too deeply?) def
/limitcheck (limitcheck error:  figure nested too deeply or too large?) def
/syntaxerror (syntaxerror error:  syntax error in text of figure?) def
/typecheck (typecheck error:  syntax error in text of figure?) def
/undefined (undefined error:  unknown or misspelt label?) def
/VMError (VMError error:  run out of memory?) def

% push pi onto stack:  - lfigpi <num>
/lfigpi 3.14159 def

% arc directions
/clockwise     false def
/anticlockwise true  def

% maximum of two numbers:  <num> <num> lfigmax <num>
/lfigmax { 2 copy gt { pop } { exch pop } ifelse } def

% minimum of two numbers:  <num> <num> lfigmin <num>
/lfigmin { 2 copy lt { pop } { exch pop } ifelse } def

% add two points:  <point> <point> lfigpadd <point>
/lfigpadd { exch 3 1 roll add 3 1 roll add exch } def

% subtract first point from second:  <point> <point> lfigpsub <point>
/lfigpsub { 3 2 roll sub 3 1 roll exch sub exch } def

% max two points:  <point> <point> lfigpmax <point>
/lfigpmax { exch 3 1 roll lfigmax 3 1 roll lfigmax exch } def

% min two points:  <point> <point> lfigpmin <point>
/lfigpmin { exch 3 1 roll lfigmin 3 1 roll lfigmin exch } def

% scalar multiplication: <point> <num> lfigpmul <point>
/lfigpmul { dup 3 1 roll mul 3 1 roll mul exch } def

% point at angle and distance:  <point> <length> <angle> lfigatangle <point>
/lfigatangle { 2 copy cos mul 3 1 roll sin mul lfigpadd } def

% angle from one point to another:  <point> <point> lfigangle <angle>
/lfigangle { lfigpsub 2 copy 0 eq exch 0 eq and {pop} {exch atan} ifelse } def

% distance between two points:  <point> <point> lfigdistance <length>
/lfigdistance { lfigpsub dup mul exch dup mul add sqrt } def

% difference in x coords: <point> <point> lfigxdistance <length>
/lfigxdistance { pop 3 1 roll pop sub } def

%difference in y coords: <point> <point> lfigydistance <length>
/lfigydistance { 3 1 roll pop sub exch pop } def

% stroke a solid line:  <length> <dashlength> lfigsolid -
/lfigsolid
{  pop pop [] 0 setdash stroke
} def

% stroke a lfigdashed line:   <length> <dashlength> lfigdashed -
/lfigdashed
{  2 copy div 2 le 1 index 0 le or
   {  exch pop 1 pt lfigmax [ exch dup ] 0 setdash }
   {  dup [ exch 4 2 roll 2 copy div
      1 sub 2 div ceiling dup 4 1 roll
      1 add mul sub exch div ] 0 setdash
   } ifelse stroke
} def

% stroke a lfigcdashed line:  <length> <dashlength> lfigcdashed -
/lfigcdashed
{  2 copy le 1 index 0 le or
   { exch pop 1 pt lfigmax [ exch dup ] dup 0 get 2 div setdash }
   { dup [ 4 2 roll exch 2 copy exch div
     2 div ceiling div 1 index sub
     ] exch 2 div setdash
   } ifelse stroke
} def

% stroke a dotted line:  <length> <dashlength> lfigdotted -
/lfigdotted
{  2 copy le 1 index 0 le or
   { exch pop 1 pt lfigmax [ exch 0 exch ] 0 setdash }
   { 1 index exch div ceiling div
     [ 0 3 2 roll ] 0 setdash
   } ifelse stroke
} def

% stroke a noline line:  <length> <dashlength> lfignoline -
/lfignoline
{ pop pop
} def

% painting (i.e. filling): - lfigwhite - (etc.)
/lfignopaint		{			       } def
/lfignochange		{ 			  fill } def
/lfigdarkblue		{ 0.0 0.0 0.5 setrgbcolor fill } def
/lfigblue		{ 0.0 0.0 1.0 setrgbcolor fill } def
/lfiglightblue		{ 0.5 0.5 1.0 setrgbcolor fill } def
/lfigdarkgreen		{ 0.0 0.5 0.0 setrgbcolor fill } def
/lfiggreen		{ 0.0 1.0 0.0 setrgbcolor fill } def
/lfiglightgreen		{ 0.5 1.0 0.5 setrgbcolor fill } def
/lfigdarkred		{ 0.5 0.0 0.0 setrgbcolor fill } def
/lfigred		{ 1.0 0.0 0.0 setrgbcolor fill } def
/lfiglightred		{ 1.0 0.5 0.5 setrgbcolor fill } def
/lfigdarkcyan		{ 0.0 0.5 0.5 setrgbcolor fill } def
/lfigcyan		{ 0.0 1.0 1.0 setrgbcolor fill } def
/lfiglightcyan		{ 0.5 1.0 1.0 setrgbcolor fill } def
/lfigdarkmagenta	{ 0.5 0.0 0.5 setrgbcolor fill } def
/lfigmagenta		{ 1.0 0.0 1.0 setrgbcolor fill } def
/lfiglightmagenta	{ 1.0 0.5 1.0 setrgbcolor fill } def
/lfigdarkyellow		{ 0.5 0.5 0.0 setrgbcolor fill } def
/lfigyellow		{ 1.0 1.0 0.0 setrgbcolor fill } def
/lfiglightyellow	{ 1.0 1.0 0.5 setrgbcolor fill } def
/lfigdarkgray		{ 0.2 0.2 0.2 setrgbcolor fill } def
/lfiggray		{ 0.5 0.5 0.5 setrgbcolor fill } def
/lfiglightgray		{ 0.8 0.8 0.8 setrgbcolor fill } def
/lfigdarkgrey		{ 0.2 0.2 0.2 setrgbcolor fill } def
/lfiggrey		{ 0.5 0.5 0.5 setrgbcolor fill } def
/lfiglightgrey		{ 0.8 0.8 0.8 setrgbcolor fill } def
/lfigblack		{ 0.0 0.0 0.0 setrgbcolor fill } def
/lfigwhite		{ 1.0 1.0 1.0 setrgbcolor fill } def

% line caps (and joins, not currently used)
/lfigbutt       0 def
/lfiground      1 def
/lfigprojecting 2 def
/lfigmiter      0 def
/lfigbevel      2 def

% shape and labels of the @Box symbol
/lfigbox
{
   0     0     /SW  lfigpointdef
   xsize 0     /SE  lfigpointdef
   xsize ysize /NE  lfigpointdef
   0     ysize /NW  lfigpointdef
   SE 0.5 lfigpmul /S   lfigpointdef
   NW 0.5 lfigpmul /W   lfigpointdef
   W SE lfigpadd   /E   lfigpointdef
   S NW lfigpadd   /N   lfigpointdef
   NE 0.5 lfigpmul /CTR lfigpointdef
   [ CTR NE lfigpsub /lfigboxcircum cvx ] lfigcircumdef
   SW SE NE NW SW
} def

% shape and labels of the @CurveBox symbol
/lfigcurvebox
{

   xsize 0.5 mul	ysize 0.5 mul	/CTR lfigpointdef
   xsize 0.5 mul	0		/S   lfigpointdef
   xsize		ysize 0.5 mul	/E   lfigpointdef
   xsize 0.5 mul	ysize		/N   lfigpointdef
   0			ysize 0.5 mul	/W   lfigpointdef

   xmark 0.293 mul		xmark 0.293 mul		  /SW  lfigpointdef
   xsize xmark 0.293 mul sub	xmark 0.293 mul		  /SE  lfigpointdef
   xsize xmark 0.293 mul sub	ysize xmark 0.293 mul sub /NE  lfigpointdef
   xmark 0.293 mul		ysize xmark 0.293 mul sub /NW  lfigpointdef

   [ xsize ysize 0.5 lfigpmul xmark /lfigcurveboxcircum cvx ] lfigcircumdef

   xmark		0
   xsize xmark sub	0
   [ xsize xmark sub	xmark		]
   xsize		xmark
   xsize		ysize xmark sub
   [ xsize xmark sub	ysize xmark sub	]
   xsize xmark sub	ysize
   xmark		ysize
   [ xmark		ysize xmark sub	]
   0			ysize xmark sub
   0			xmark
   [ xmark		xmark		]
   xmark		0
} def

% shadow of the @ShadowBox symbol
% its shape and labels are done, somewhat inaccurately, with lfigbox
/lfigshadow
{ xmark 2 mul 0 moveto xsize 0 lineto
  xsize ysize xmark 2 mul sub lineto
  xsize xmark sub ysize xmark 2 mul sub lineto
  xsize xmark sub xmark lineto
  xmark 2 mul xmark lineto closepath fill
} def

% shape and labels of the @Square symbol
/lfigsquare
{
   xsize ysize 0.5 lfigpmul /CTR lfigpointdef
   CTR xsize xsize ysize ysize lfigpmax 0.5 lfigpmul lfigpadd /NE lfigpointdef
   CTR 0 0 CTR NE lfigdistance 135 lfigatangle lfigpadd /NW lfigpointdef
   CTR 0 0 CTR NE lfigdistance 225 lfigatangle lfigpadd /SW lfigpointdef
   CTR 0 0 CTR NE lfigdistance 315 lfigatangle lfigpadd /SE lfigpointdef
   SW 0.5 lfigpmul SE 0.5 lfigpmul lfigpadd /S lfigpointdef
   NW 0.5 lfigpmul NE 0.5 lfigpmul lfigpadd /N lfigpointdef
   SW 0.5 lfigpmul NW 0.5 lfigpmul lfigpadd /W lfigpointdef
   SE 0.5 lfigpmul NE 0.5 lfigpmul lfigpadd /E lfigpointdef
   [ CTR NE lfigpsub /lfigboxcircum cvx ] lfigcircumdef
   SW SE NE NW SW
} def

% shape and labels of the @Diamond symbol
/lfigdiamond
{
   xsize 0 0.5 lfigpmul /S   lfigpointdef
   0 ysize 0.5 lfigpmul /W   lfigpointdef
   S W         lfigpadd /CTR lfigpointdef
   CTR W       lfigpadd /N   lfigpointdef
   CTR S       lfigpadd /E   lfigpointdef
   [ xsize ysize 0.5 lfigpmul /lfigdiamondcircum cvx ] lfigcircumdef
   S E N W S
} def

% shape and labels of the @Ellipse symbol
/lfigellipse
{
   xsize 0 0.5 lfigpmul /S   lfigpointdef
   0 ysize 0.5 lfigpmul /W   lfigpointdef
   S W         lfigpadd /CTR lfigpointdef
   CTR W       lfigpadd /N   lfigpointdef
   CTR S       lfigpadd /E   lfigpointdef
   CTR xsize 0 0.3536 lfigpmul lfigpadd 0 ysize 0.3536 lfigpmul lfigpadd /NE lfigpointdef
   0 ysize 0.3536 lfigpmul CTR xsize 0 0.3536 lfigpmul lfigpadd lfigpsub /SE lfigpointdef
   xsize 0 0.3536 lfigpmul CTR lfigpsub 0 ysize 0.3536 lfigpmul lfigpadd /NW lfigpointdef
   0 ysize 0.3536 lfigpmul xsize 0 0.3536 lfigpmul CTR lfigpsub lfigpsub /SW lfigpointdef
   [ xsize ysize 0.5 lfigpmul /lfigellipsecircum cvx ] lfigcircumdef
   S [ CTR ] E [ CTR ] N [ CTR ] W [ CTR ] S
} def

% shape and labels of the @Circle symbol
/lfigcircle
{
   xsize ysize 0.5 lfigpmul /CTR lfigpointdef
   CTR xsize 0 ysize 0 lfigpmax 0.5 lfigpmul lfigpadd /E lfigpointdef
   CTR 0 0 CTR E lfigdistance 45 lfigatangle lfigpadd /NE lfigpointdef
   CTR 0 0 CTR E lfigdistance 90 lfigatangle lfigpadd /N lfigpointdef
   CTR 0 0 CTR E lfigdistance 135 lfigatangle lfigpadd /NW lfigpointdef
   CTR 0 0 CTR E lfigdistance 180 lfigatangle lfigpadd /W lfigpointdef
   CTR 0 0 CTR E lfigdistance 225 lfigatangle lfigpadd /SW lfigpointdef
   CTR 0 0 CTR E lfigdistance 270 lfigatangle lfigpadd /S lfigpointdef
   CTR 0 0 CTR E lfigdistance 315 lfigatangle lfigpadd /SE lfigpointdef
   [ S E lfigpsub /lfigellipsecircum cvx ] lfigcircumdef
   S [ CTR ] E [ CTR ] N [ CTR ] W [ CTR ] S
} def

% shape and labels of the @HLine and @HArrow symbols
/lfighline
{
   0 ymark lfigprevious /FROM lfigpointdef
   xsize ymark lfigprevious /TO lfigpointdef
} def

% shape and labels of the @VLine and @VArrow symbols
/lfigvline
{
   xmark ysize lfigprevious /FROM lfigpointdef
   xmark 0 lfigprevious /TO lfigpointdef
} def

% points of a polygon around base with given no of sides, vert init angle:
% <sides> <angle> figpolygon <point> ... <point>
/lfigpolygon
{  xsize ysize 0.5 lfigpmul /CTR lfigpointdef
   90 sub CTR 2 copy lfigmax 5 3 roll
   [ 4 copy pop /lfigpolycircum cvx ] lfigcircumdef
   exch dup 360 exch div exch
   1 1  3 2 roll
   {  4 string cvs (P) exch lfigconcat cvn
      6 copy pop pop lfigatangle 2 copy 10 2 roll
      3 2 roll lfigpointdef
      dup 3 1 roll add exch
   }  for
   pop lfigatangle
} def

% next array element:  <array> <index> lfiggetnext <array> <index> <any> true
%                                               or <array> <index> false
/lfiggetnext
{  2 copy exch length ge
   { false }
   { 2 copy get exch 1 add exch true } ifelse
} def

% check whether thing is number:  <any> lfigisnumbertype <any> <bool>
/lfigisnumbertype
{  dup type dup
   /integertype eq exch /realtype eq or
} def

% check whether thing is an array:  <any> lfigisarraytype <any> <bool>
/lfigisarraytype { dup type /arraytype eq } def

% get next item:  <array> <index> lfiggetnextitem <array> <index> 0
%                                              or <array> <index> <array> 1
%                                              or <array> <index> <point> 2
/lfiggetnextitem
{   lfiggetnext
    {	lfigisarraytype
	{   1
	}
	{   lfigisnumbertype
	    {	3 1 roll
		lfiggetnext
		{   lfigisnumbertype
		    {	4 3 roll exch  2
		    }
		    {	pop 3 2 roll pop  0
		    } ifelse
		}
		{   3 2 roll pop  0
		} ifelse
	    }
	    {	pop 0
	    } ifelse
	} ifelse
    }
    {	0
    } ifelse
} def

% set arc path:  bool x1 y1  x2 y2  x0 y0  lfigsetarc  <angle> <angle> <dist>
% the path goes from x1 y1 to x2 y2 about centre x0 y0,
% anticlockwise if bool is true else clockwise.
% The orientations of backwards pointing and forwards pointing
% arrowheads are returned in the two angles, and
% the length of the arc is returned in <dist>.
/lfigsetarc
{
  20 dict begin
     matrix currentmatrix 8 1 roll
     2 copy translate 2 copy 8 2 roll
     4 2 roll lfigpsub 6 2 roll lfigpsub
     dup /y1 exch def dup mul /y1s exch def
     dup /x1 exch def dup mul /x1s exch def
     dup /y2 exch def dup mul /y2s exch def
     dup /x2 exch def dup mul /x2s exch def

     y1s y2s eq
     {	-1
     }
     {	y1s x2s mul y2s x1s mul sub y1s y2s sub div
     } ifelse
     /da exch def

     x1s x2s eq
     {	-1
     }
     {	x1s y2s mul x2s y1s mul sub x1s x2s sub div
     } ifelse
     /db exch def

     da 0 gt db 0 gt and
     {	/LMax da sqrt db sqrt lfigmax def
	/scalex da sqrt LMax div def
	/scaley db sqrt LMax div def
	scalex scaley scale
	0 0 LMax
	0 0 x1 scalex mul y1 scaley mul lfigangle
	0 0 x2 scalex mul y2 scaley mul lfigangle
	2 copy eq { 360 add } if
	2 copy 8 2 roll
	5 index { arc } { arcn } ifelse
	2 index 1 index
	{ 90 sub } { 90 add } ifelse
	dup sin scaley mul exch cos scalex mul atan
	2 index 2 index
	{ 90 add } { 90 sub } ifelse
	dup sin scaley mul exch cos scalex mul atan
	5 2 roll  % res1 res2 ang1 ang2 anticlockwise
	{ exch sub } { sub } ifelse
	dup 0 le { 360 add } if  lfigpi mul LMax mul 180 div
     }
     {	0 0 x1 y1 lfigdistance 0 0 x2 y2 lfigdistance eq
	0 0 x1 y1 lfigdistance 0 gt and
	{	0 0
		0 0 x1 y1 lfigdistance
		0 0 x1 y1 lfigangle
		0 0 x2 y2 lfigangle
		2 copy eq { 360 add } if
		2 copy 8 2 roll
		5 index { arc } { arcn } ifelse
		2 index 1 index
		{ 90 sub } { 90 add } ifelse
		2 index 2 index
		{ 90 add } { 90 sub } ifelse
		5 2 roll % res1 res2 ang1 ang2 clockwise
		{ exch sub } { sub } ifelse
		dup 0 le { 360 add } if lfigpi mul 0 0 x1 y1 lfigdistance mul 180 div
	}
	{	x2 y2 lineto pop
		x2 y2 x1 y1 lfigangle
		x1 y1 x2 y2 lfigangle
		x1 y1 x2 y2 lfigdistance
	} ifelse
     } ifelse
     4 -1 roll setmatrix
   end
} def

% lfigsetcurve: set up a Bezier curve from x0 y0 to x3 y3
% and return arrowhead angles and length of curve (actually 0)
% x0 y0 x1 y1 x2 y2 x3 y3 lfigsetcurve <angle> <angle> <length>
/lfigsetcurve
{ 8 copy curveto pop pop
  lfigangle
  5 1 roll
  4 2 roll lfigangle
  exch
  0
} def

% lfigpaintpath: paint a path of the given shape
% /paint [ shape ] lfigpaintpath -
/lfigpaintpath
{
  10 dict begin
    0 newpath
    /prevseen false def
    /curveseen false def
    { lfiggetnextitem
      dup 0 eq { pop exit }
      { 1 eq
        { /curveseen true def
	  /curve exch def
	  curve length 0 eq { /curveseen false def } if
        }
        { /ycurr exch def
	  /xcurr exch def
	  prevseen
	  { curveseen
	    { curve length 4 eq
	      { xprev yprev
		curve 0 get curve 1 get
		curve 2 get curve 3 get
		xcurr ycurr
		lfigsetcurve pop pop pop
	      }
	      { xprev yprev xcurr ycurr
	        curve length 1 ge { curve 0 get } { 0 } ifelse
	        curve length 2 ge { curve 1 get } { 0 } ifelse
	        curve length 3 ge { curve 2 get } { true } ifelse
	        7 1 roll
	        lfigsetarc pop pop pop
	      } ifelse
	    }
	    { xcurr ycurr lineto
	    } ifelse
	  }
	  { xcurr ycurr moveto
	  } ifelse
	  /xprev xcurr def
	  /yprev ycurr def
	  /prevseen true def
	  /curveseen false def
        } ifelse
      } ifelse
    } loop pop pop cvx exec
  end
} def

% stroke a path of the given shape in the given linestyle and dash length.
% Return the origin and angle of the backward and forward arrow heads.
% dashlength /linestyle [shape] lfigdopath  [<point> <angle>] [<point> <angle>] 
/lfigdopath
{
  10 dict begin
    0
    /prevseen  false def
    /curveseen false def
    /backarrow []    def
    /fwdarrow  []    def
    {
	lfiggetnextitem
	dup 0 eq { pop exit }
	{
	    1 eq
	    {	/curveseen true def
		/curve exch def
		curve length 0 eq { /prevseen false def } if
	    }
	    {	/ycurr exch def
		/xcurr exch def
		prevseen
		{   newpath xprev yprev moveto
		    curveseen
		    {	curve length 4 eq
			{   xprev yprev
			    curve 0 get curve 1 get
			    curve 2 get curve 3 get
			    xcurr ycurr lfigsetcurve
			}
			{   xprev yprev xcurr ycurr
			    curve length 1 ge { curve 0 get } { 0 } ifelse
			    curve length 2 ge { curve 1 get } { 0 } ifelse
			    curve length 3 ge { curve 2 get } { true } ifelse
			    7 1 roll
			    lfigsetarc
			} ifelse
		    }
		    {	xcurr ycurr lineto
			xcurr ycurr xprev yprev lfigangle dup 180 sub
			xprev yprev xcurr ycurr lfigdistance
		    } ifelse
		    6 index 6 index cvx exec
		    [ xprev yprev 5 -1 roll ]
		    backarrow length 0 eq
		    { /backarrow exch def }
		    { pop } ifelse
		    [ xcurr ycurr 4 -1 roll ] /fwdarrow exch def
		} if
		/xprev xcurr def
		/yprev ycurr def
		/prevseen true def
		/curveseen false def
	    } ifelse
	} ifelse
    } loop
    pop pop pop pop
    backarrow length 0 eq { [ 0 0 0 ] } { backarrow } ifelse
    fwdarrow  length 0 eq { [ 0 0 0 ] } { fwdarrow  } ifelse
  end
} def

% lfigdoarrow: draw an arrow head of given form
% dashlength /lstyle /pstyle hfrac height width [ <point> <angle> ] lfigdoarrow -
/lfigdoarrow
{  matrix currentmatrix 8 1 roll
   dup 0 get 1 index 1 get translate
   2 get rotate
   [ 2 index neg 2 index 0 0
     3 index 3 index neg
     1 index 10 index mul 0
     7 index 7 index ]
   4 1 roll pop pop pop
   dup 3 1 roll
   gsave lfigpaintpath grestore lfigdopath pop pop
   setmatrix
} def

% arrow head styles
/lfigopen     0.0 def
/lfighalfopen 0.5 def
/lfigclosed   1.0 def

% stroke no arrows, forward, back, and both
/lfignoarrow { pop pop pop pop pop pop pop pop                        } def
/lfigforward { 7 -1 roll lfigdoarrow pop                              } def
/lfigback    { 8 -2 roll pop lfigdoarrow                              } def
/lfigboth    { 8 -1 roll 7 copy lfigdoarrow pop 7 -1 roll lfigdoarrow } def

% lfigprevious: return previous point on path
/lfigprevious
{ lfigisnumbertype
  { 2 copy }
  { lfigisarraytype
    { 2 index 2 index }
    { 0 0 }
    ifelse
  } ifelse
} def

% label a point in 2nd top dictionary:  <point> /name lfigpointdef -
/lfigpointdef
{
  % (Entering lfigpointdef) lfigdebugprint
  [ 4 2 roll transform
    /itransform cvx ] cvx
    currentdict end
    3 1 roll
    % currentdict length currentdict maxlength lt
    % { def }
    % { exec moveto (too many labels) show stop }
    % ifelse
    def
    begin
  % (Leaving lfigpointdef) lfigdebugprint
} def

% promote labels from second top to third top dictionary
% <string> lfigpromotelabels -
/lfigpromotelabels
{
  % (Entering lfigpromotelabels) lfigdebugprint
  currentdict end exch currentdict end
  { exch 20 string cvs 2 index
    (@) lfigconcat exch lfigconcat cvn exch def
  } forall pop begin
  % (Leaving lfigpromotelabels) lfigdebugprint
} def

% show labels (except CIRCUM): - lfigshowlabels -
/lfigshowlabels
{
  % (Entering lfigshowlabels) lfigdebugprint
  currentdict end
    currentdict
    { 1 index 20 string cvs (CIRCUM) search % if CIRCUM in key
      { pop pop pop pop pop }
      { pop cvx exec 2 copy
        newpath 1.5 pt 0 360 arc
        0 setgray fill
        /Times-Roman findfont 8 pt scalefont setfont
        moveto 0.2 cm 0.1 cm rmoveto 20 string cvs show
      }
      ifelse
    } forall
  begin
  % (Leaving lfigshowlabels) lfigdebugprint
} def

% fix an angle to 0 <= res < 360:  <angle> lfigfixangle <angle>
/lfigfixangle
{
  % (Entering lfigfixangle) lfigdebugprint
  { dup 0 ge { exit } if
    360 add
  } loop
  { dup 360 lt { exit } if
    360 sub
  } loop
  % (Leaving lfigfixangle) lfigdebugprint
} def

% find point on circumference of box:  alpha a b lfigboxcircum x y
/lfigboxcircum
{
  % (Entering lfigboxcircum) lfigdebugprint
  4 dict begin
    /b exch def
    /a exch def
    lfigfixangle /alpha exch def
    0 0 a b lfigangle /theta exch def

    % if alpha <= theta, return (a, a*tan(alpha))
    alpha theta le
    { a  a alpha sin mul alpha cos div }
    {
      % else if alpha <= 180 - theta, return (b*cot(alpha), b)
      alpha 180 theta sub le
      { b alpha cos mul alpha sin div  b }
      {
        % else if alpha <= 180 + theta, return (-a, -a*tan(alpha))
        alpha 180 theta add le
        { a neg  a neg alpha sin mul alpha cos div }
        {
	  % else if alpha <= 360 - theta, return (-b*cot(alpha), -b)
	  alpha 360 theta sub le
          { b neg alpha cos mul alpha sin div  b neg }
	  {
	    % else 360 - theta <= alpha, return (a, a*tan(alpha))
	    a  a alpha sin mul alpha cos div
	  } ifelse
        } ifelse
      } ifelse
    } ifelse
  end
  % (Leaving lfigboxcircum) lfigdebugprint
} def

% find quadratic roots (assume a != 0): a b c lfigqroots x1 x2 2
%                                                     or    x2 1
%                                                     or       0
/lfigqroots
{
  4 dict begin
    /c exch def
    /b exch def
    /a exch def
    /disc b b mul 4 a c mul mul sub def
    disc 0 lt
    { 0
    }
    { disc 0 eq
      { b neg 2 a mul div
	1
      }
      { b neg disc sqrt add 2 a mul div
        b neg disc sqrt sub 2 a mul div
	2
      }
      ifelse
    }
    ifelse
  end
} def

% work our which quadrant: <angle> lfigquadrant <0-3>
/lfigquadrant
{ dup 90 lt
  { pop 0
  }
  { dup 180 lt
    { pop 1
    }
    { 270 lt
      { 2
      }
      { 3
      } ifelse
    } ifelse
  } ifelse
} def

% find curvebox circum, assuming upper right quadrant: alpha a b xmk lfigcb x y
/lfigcb
{
  6 dict begin
    /xmk exch def
    /b exch def
    /a exch def
    /alpha exch def
    /theta1 0 0 a b xmk sub lfigangle def
    /theta2 0 0 a xmk sub b lfigangle def
    alpha theta1 le
    { % if alpha <= theta1, return (a, a*tan(alpha))
      a  a alpha sin mul alpha cos div
    }
    { alpha theta2 ge
      { % else if alpha > theta2, return (b*cot(alpha), b)
	b alpha cos mul alpha sin div  b
      }
      {
	% else, return the intersection of line and circle
	a xmk sub b xmk sub xmk  0 0 alpha lfigcircleintersect
	dup 0 eq
	{ % should never happen, just return any reasonable point
	  pop
	  a b 0.5 lfigpmul
	}
	{ 1 eq
	  { % should never happen, just return the point on top of stack
	  }
	  { % the usual case, two points on stack, return the larger
	    lfigpmax
	  } ifelse
	} ifelse
      } ifelse
    } ifelse
  end
} def

% find point on circumference of curvebox: alpha a b xmk lfigcurveboxcircum x y
/lfigcurveboxcircum
{
  % (Entering lfigcurveboxcircum) lfigdebugprint
  5 dict begin
    /xmk exch def
    /b exch def
    /a exch def
    lfigfixangle /alpha exch def

    % work out which quadrant we are in, and reflect accordingly
    /quad alpha lfigquadrant def
    quad 0 eq
    { alpha a b xmk lfigcb
    }
    { quad 1 eq
      { 180 alpha sub a b xmk lfigcb exch neg exch
      }
      { quad 2 eq
	{ alpha 180 sub a b xmk lfigcb neg exch neg exch
	}
	{ 360 alpha sub a b xmk lfigcb neg
	} ifelse
      } ifelse
    } ifelse
  end
  % (Leaving lfigcurveboxcircum) lfigdebugprint
} def

% find point on circumference of diamond:  alpha a b lfigdiamondcircum x y
/lfigdiamondcircum
{
  % (Entering lfigdiamondcircum) lfigdebugprint
  4 dict begin
    /b exch def
    /a exch def
    lfigfixangle /alpha exch def
    b alpha cos abs mul  a alpha sin abs mul  add  /denom exch def
    a b mul alpha cos mul denom div
    a b mul alpha sin mul denom div
  end
  % (Leaving lfigdiamondcircum) lfigdebugprint
} def

% find point on circumference of ellipse:  alpha a b lfigellipsecircum x y
/lfigellipsecircum
{
  % (Entering lfigellipsecircum) lfigdebugprint
  4 dict begin
    /b exch def
    /a exch def
    lfigfixangle /alpha exch def
    b alpha cos mul dup mul  a alpha sin mul dup mul  add sqrt /denom exch def
    a b mul alpha cos mul denom div
    a b mul alpha sin mul denom div
  end
  % (Leaving lfigellipsecircum) lfigdebugprint
} def

% find point of intersection of two lines each defined by two points
% x1 y1 x2 y2  x3 y3 x4 y4  lfiglineintersect x y
/lfiglineintersect
{
  % (Entering lfiglineintersect) lfigdebugprint
  13 dict begin
    /y4 exch def
    /x4 exch def
    /y3 exch def
    /x3 exch def
    /y2 exch def
    /x2 exch def
    /y1 exch def
    /x1 exch def
    x2 x1 sub /x21 exch def
    x4 x3 sub /x43 exch def
    y2 y1 sub /y21 exch def
    y4 y3 sub /y43 exch def
    y21 x43 mul y43 x21 mul sub /det exch def
  
    % calculate x 
    y21 x43 mul x1 mul
    y43 x21 mul x3 mul sub
    y3 y1 sub x21 mul x43 mul add
    det div

    % calculate y
    x21 y43 mul y1 mul
    x43 y21 mul y3 mul sub
    x3 x1 sub y21 mul y43 mul add
    det neg div

  end
  % (Leaving lfiglineintersect) lfigdebugprint
} def

% find point on circumference of polygon
% alpha radius num theta lfigpolycircum x y
/lfigpolycircum
{
  % (Entering lfigpolycircum) lfigdebugprint
  13 dict begin
    /theta exch def
    /num exch def
    /radius exch def
    /alpha exch def

    % calculate delta, the angle from theta to alpha
    alpha theta sub lfigfixangle

    % calculate the angle which is the multiple of 360/num closest to delta
    360 num div div truncate 360 num div mul theta add /anglea exch def

    % calculate the next multiple of 360/num after anglea
    anglea 360 num div add /angleb exch def

    % intersect the line through these two points with the alpha line
    anglea cos anglea sin  angleb cos angleb sin
    0 0  alpha cos 2 mul alpha sin 2 mul
    lfiglineintersect radius lfigpmul

  end
  % (Leaving lfigpolycircum) lfigdebugprint
} def

% find point of intersection of a point and a circle
% x0 y0 r  x1 y1 theta  lfigcircleintersect xa ya xb yb 2
%                                        or       xb yb 1
%                                        or             0
/lfigcircleintersect
{
  % (Entering lfigcircleintersect) lfigdebugprint
  15 dict begin
    /theta exch def
    /y1    exch def
    /x1    exch def
    /r     exch def
    /y0    exch def
    /x0    exch def

    % if sin(theta) = 0 then line is horizontal and y must be y1
    theta sin abs 0.00001 lt
    { 
      /a 1 def
      /b -2 x0 mul def
      /c x0 dup mul y1 y0 sub dup mul add r dup mul sub def
      a b c lfigqroots dup
      0 eq
      { pop
	0
      }
      { 1 eq
	{ y1 1
	}
	{ y1 exch y1 2
	} ifelse
      } ifelse
    }
    {
      /ct theta cos theta sin div def
      /a ct ct mul 1 add def
      /b ct x1 x0 sub mul y1 add y0 sub 2 mul def
      /c x1 x0 sub dup mul y1 y0 sub dup mul add r dup mul sub def
      a b c lfigqroots dup
      0 eq
      { pop
	0
      }
      { 1 eq
	{ y1 add /yb exch def
	  yb y1 sub ct mul x1 add /xb exch def
	  xb yb 1
	}
	{ y1 add /ya exch def
	  ya y1 sub ct mul x1 add /xa exch def
	  y1 add /yb exch def
	  yb y1 sub ct mul x1 add /xb exch def
	  xa ya xb yb 2
	} ifelse
      } ifelse
    } ifelse
  end
  % (Leaving lfigcircleintersect) lfigdebugprint
} def

% add CIRCUM operator with this body:  <array> lfigcircumdef -
/lfigcircumdef
{   % (Entering lfigcircumdef) lfigdebugprint
    /CIRCUM exch cvx
    currentdict end
    3 1 roll
    % currentdict length currentdict maxlength lt
    % { def }
    % { exec moveto (too many labels) show stop }
    % ifelse
    def
    begin
    % (Leaving lfigcircumdef) lfigdebugprint
} def

end
%%EndResource

%%BeginResource: procset LoutBasicSetup
% @PrependGraphic file /export/home/6monthspace/jeff/lout.lib/include/bsf.lpg

% width height linethickness louteuro -
% draw a Euro symbol of this width and height with this line thickness
/louteuro {
  20 dict begin
    /eurothick exch def
    /euroheight exch def
    /eurowidth exch def
    /eurostrokewidth euroheight 0.8 mul def
    /eurostep eurothick 60 cos mul 60 sin div def
    /eurotheta 40 def

    % llx lly width thickness louteurobox -
    % draw angled box starting at (llx, lly) with given width and thickness
    /louteurobox
    {
      /euroboxthick exch def
      /euroboxwidth exch def
      newpath moveto euroboxwidth 0 rlineto
      eurostep euroboxthick rlineto
      euroboxwidth neg 0 rlineto closepath fill
    } def

    % lower cross stroke
    0 euroheight 2 div eurothick 1.5 mul sub
    eurostrokewidth eurothick louteurobox

    % upper cross stroke
    0 euroheight 2 div eurothick 0.5 mul add
    eurostrokewidth eurostep 2 mul add eurothick louteurobox

    % circular part
    /eurohctr eurowidth euroheight 2 div eurotheta cos mul sub def
    /eurovctr euroheight 2 div def
    newpath
    eurohctr eurovctr eurovctr eurotheta 350 eurotheta sub arc
    eurohctr eurovctr eurovctr eurothick sub 365 eurotheta sub eurotheta arcn
    closepath fill
  end
} def

% path for @FullWidthRule symbol
/LoutRule
{ 0 0 moveto xsize 0 lineto
} def

% path for @Box symbol
/LoutBox
{ 0 0 moveto xsize 0 lineto
  xsize ysize lineto 0 ysize lineto
  closepath
} def

% path for @CurveBox symbol
/LoutCurveBox
{ xmark 0 moveto
  xsize xmark sub xmark xmark 270 360 arc
  xsize xmark sub ysize xmark sub xmark 0 90 arc
  xmark ysize xmark sub xmark 90 180 arc
  xmark xmark xmark 180 270 arc
  closepath
} def

% path for @ShadowBox symbol
/LoutShadowBox
{ xmark 2 mul 0 moveto xsize 0 lineto
  xsize ysize xmark 2 mul sub lineto
  xsize xmark sub ysize xmark 2 mul sub lineto
  xsize xmark sub xmark lineto
  xmark 2 mul xmark lineto
  closepath
} def

% set up dictionary containing margin note data: parity LoutMargSet -
/LoutMargSet
{ /LoutMargDict 12 dict def
  LoutMargDict begin
    /parity exch def
    /matr matrix currentmatrix def
    /rightx xsize def
    /lefty ysize def   % highest allowable point for top of next left note
    /righty ysize def  % highest allowable point for top of next right note
    /max { 2 copy gt { pop } { exch pop } ifelse } def
    /min { 2 copy lt { pop } { exch pop } ifelse } def
  end
} def

%translate coordinate system for marginal notes:  type LoutMargShift -
% where type 0 is left margin, 1 is right margin, 2 is outer, 3 is inner
/LoutMargShift
{ LoutMargDict begin

    % y coordinate of top of note, in margin coords, before vertical adjust
    0 ysize transform matr itransform exch pop

    % decide whether left or right margin based on type and parity
    exch [ 0 1 parity 1 parity sub ] exch get 0 eq
    {
      % left margin: adjust top of note downwards if overlaps previous note
      lefty min

      % bottom of note is new lefty position and also translate position
      ysize sub dup /lefty exch def

      % want right edge of note at coordinate zero
      xsize neg exch
    }
    {
      % right margin: adjust top of note downwards if overlaps previous note
      righty min

      % bottom of note is new righty position and also translate position
      ysize sub dup /righty exch def

      % want left edge of note at coordinate rightx
      rightx exch
    } ifelse

    % stack now contains coord of bottom left corner in margin coordinates
    matr setmatrix translate
  end
} def

% create LoutPageDict with left, right, foot, top for @Place symbol users
/LoutPageSet
{
  /LoutPageDict 5 dict def
  LoutPageDict begin
    /matr matrix currentmatrix def
    /left 0 def
    /right xsize def
    /foot 0 def
    /top ysize def
  end

} def

%%EndResource

%%EndProlog

%%BeginSetup
%%IncludeResource: font Times-Roman
/Times-Romanfnt82 vec2 /Times-Roman LoutRecode
/fnt82 { /Times-Romanfnt82 LoutFont } def
%%IncludeResource: font Helvetica
/Helveticafnt35 vec2 /Helvetica LoutRecode
/fnt35 { /Helveticafnt35 LoutFont } def
%%IncludeResource: font Symbol
/fnt78 { /Symbol LoutFont } def
%%IncludeResource: font Helvetica-Oblique
/Helvetica-Obliquefnt36 vec2 /Helvetica-Oblique LoutRecode
/fnt36 { /Helvetica-Obliquefnt36 LoutFont } def
%%EndSetup

%%Page: i 1
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Helvetica
%%+ font Symbol
%%+ font Helvetica-Oblique
/pgsave save def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup

gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
600 fnt35 1355 12125(An)m 2215(Exper)s -24(t')k 30(s)k
4518(Guide)s 6258(to)s 6902(the)s 3956 10685(Lout)m 616 9245(Document)m
3500(F)s 18(or)k -15(matting)k 6490(System)s 240 fnt35
3544 6059(Jeffre)m 4(y)k 4321(H.)s 4606(Kingston)s 3883 4395(V)m 19(ersion)k
4726(3.20)s 3974 4107(Apr)m -3(il,)k 4567(2000)s 240 fnt78
0 342(\343)m 240 fnt36 315 340(Cop)m 7(yr)k -3(ight)k
1493(1991,)s 2214(2000,)s 2935(Jeffre)s 4(y)k 3811(H.)s
4173(Kingston,)s 5293(Basser)s 6203(Depar)s -9(tment)k 7619(of)s
7990(Computer)s 0 52(Science)m 3(,)k 966(The)s 1449(Univ)s 6(ersity)k
2583(of)s 2881(Sydne)s 4(y)k 3766(2006,)s 4415(A)s 7(ustr)k 2(alia.)k

grestore

grestore

grestore

pgsave restore
showpage

%%Page: ii 2
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
480 fnt84 0 12955(Pr)m 8(eface)k 240 fnt82 540 12095(This)m
1016(manual)s 1775(is)s 1984(addressed)s 2985(to)s 3224(those)s
3784(who)s 4250(wish)s 4759(to)s 4997(become)s 5797(e)s 3(xpert)k
6451(users)s 6992(of)s 7263(the)s 7611(Lout)s 8122(document)s
0 11807(formatting)m 1092(system.)s 1952(An)s 2334(e)s 3(xpert)k
3020(user)s 3510(is)s 3752(someone)s 4690(who)s 5188(understands)s
6414(the)s 6794(principles)s 7819(of)s 8122(document)s 0 11519(formatting)m
1083(that)s 1524(Lout)s 2059(embodies,)s 3105(and)s 3532(is)s
3765(able)s 4242(to)s 4503(apply)s 5112(them,)s 5720(for)s
6081(e)s 3(xample)k 6966(to)s 7228(design)s 7933(a)s
8122(document)s 0 11231(format)m 690(or)s 943(a)s 1103(special-purpose)s
2653(package.)s 3595(In)s 3845(contrast,)s 4701(a)s 4861(non-e)s 3(xpert)k
5948(user)s 6400(is)s 6604(someone)s 7505(who)s 7965(simply)s
8663(uses)s 0 10943(Lout)m 512(to)s 751(format)s 1447(documents.)s
480 10569(Chapter)m 1295(1)s 1448(e)s 3(xplains)k 2291(these)s
2836(principles,)s 3883(and)s 4285(it)s 4475(should)s 5170(be)s
5450(read)s 5917(carefully)s 6817(and)s 7219(in)s 7460(sequence.)s
8499(Chap)s 8998(-)s 0 10281(ters)m 412(2)s 604(and)s
1025(3)s 1207(are)s 1571(for)s 1927(reference;)s 2943(respecti)s 6(v)k 3(ely)k 15(,)k
4198(the)s 3(y)k 4678(contain)s 5457(descriptions)s 6680(of)s
6969(the)s 7334(detailed)s 8166(operation)s 0 9993(of)m 277(Lout')s 13(s)k
945(major)s 1568(components,)s 2838(and)s 3248(a)s 3420(complete)s
4359(description)s 5484(of)s 5761(each)s 6262(prede\207ned)s 7336(symbol.)s
8211(The)s 8646(\207nal)s 0 9705(chapter)m 763(presents)s 1597(a)s
1763(collection)s 2762(of)s 3033(adv)s 6(anced)k 3989(e)s 3(xamples.)k
480 9331(This)m 971(manual)s 1745(presents)s 2594(V)s 26(ersion)k
3397(3)s 3576(of)s 3862(Basser)s 4574(Lout,)s 5148(publicly)s
6001(released)s 6856(in)s 7114(September)s 8211(1994)s 8760([3)s
8943(].)s 0 9043(This)m 480(manual)s 1243(w)s 2(as)k
1669(rendered)s 2567(into)s 2996(PostScript)s 4043(by)s 4341(V)s 26(ersion)k
5133(3.20)s 5613(of)s 5888(the)s 6240(Basser)s 6942(Lout)s
7458(interpreter)s 9(,)k 8554(using)s 0 8755(the)m 348(symbols)s
1197(described)s 2171(in)s 2414(the)s 2762(User')s 13(s)k
3423(Guide)s 4064([4)s 4257(].)s 240 fnt84 0 8250(Ackno)m 2(wledgment.)k
240 fnt82 1986 8251(V)m 26(ersion)k 2811(3)s 3012(has)s
3419(bene\207ted)s 4391(from)s 4953(hundreds)s 5919(of)s 6227(comments)s
7298(recei)s 6(v)k 3(ed)k 8193(since)s 8778(the)s
0 7963(release)m 726(of)s 1006(V)s 26(ersion)k 1803(1)s
1967(in)s 2219(October)s 3057(1991.)s 3710(Not)s 4138(e)s 6(v)k 3(ery)k
4723(suggestion)s 5813(could)s 6411(be)s 6702(follo)s 6(wed,)k
7662(b)s 4(ut)k 8033(man)s 3(y)k 8625(ha)s 4(v)k 3(e)k
0 7675(been,)m 559(and)s 963(the)s 1311(encouragement)s 2832(w)s 2(as)k
3253(greatly)s 3970(appreciated.)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: iii 3
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
480 fnt84 0 12955(Contents)m 240 fnt84 0 11982(Chapter)m 908(1)s
240 fnt82 1015 11983(.)m 240 fnt84 1179 11982(Principles)m 240 fnt82
2738 11983(..)m 3082(..)s 3426(..)s 3770(..)s 4114(..)s
4458(..)s 4802(..)s 5146(..)s 5490(..)s 5834(..)s
6178(..)s 6522(..)s 6866(..)s 7210(..)s 7554(..)s
7898(..)s 8242(..)s 8971(1)s 720 11638(1.1.)m 1184(Objects)s
2394(..)s 2738(..)s 3082(..)s 3426(..)s 3770(..)s
4114(..)s 4458(..)s 4802(..)s 5146(..)s 5490(..)s
5834(..)s 6178(..)s 6522(..)s 6866(..)s 7210(..)s
7554(..)s 7898(..)s 8242(..)s 8971(1)s 720 11293(1.2.)m
1184(De\207nitions)s 2738(..)s 3082(..)s 3426(..)s 3770(..)s
4114(..)s 4458(..)s 4802(..)s 5146(..)s 5490(..)s
5834(..)s 6178(..)s 6522(..)s 6866(..)s 7210(..)s
7554(..)s 7898(..)s 8242(..)s 8962(3)s 720 10948(1.3.)m
1184(Cross)s 1780(references)s 3082(..)s 3426(..)s 3770(..)s
4114(..)s 4458(..)s 4802(..)s 5146(..)s 5490(..)s
5834(..)s 6178(..)s 6522(..)s 6866(..)s 7210(..)s
7554(..)s 7898(..)s 8242(..)s 8958(7)s 720 10603(1.4.)m
1184(Galle)s 3(ys)k 2394(..)s 2738(..)s 3082(..)s
3426(..)s 3770(..)s 4114(..)s 4458(..)s 4802(..)s
5146(..)s 5490(..)s 5834(..)s 6178(..)s 6522(..)s
6866(..)s 7210(..)s 7554(..)s 7898(..)s 8242(..)s
8955(9)s 240 fnt84 0 9974(Chapter)m 908(2)s 240 fnt82
1023 9975(.)m 240 fnt84 1187 9974(Details)m 240 fnt82 2394 9975(..)m
2738(..)s 3082(..)s 3426(..)s 3770(..)s 4114(..)s
4458(..)s 4802(..)s 5146(..)s 5490(..)s 5834(..)s
6178(..)s 6522(..)s 6866(..)s 7210(..)s 7554(..)s
7898(..)s 8242(..)s 8842(13)s 720 9630(2.1.)m 1184(Le)s 3(xical)k
1952(structure)s 2843(\(w)s 2(ords,)k 3612(spaces,)s 4343(symbols\))s
5269(and)s 5673(macros)s 6866(..)s 7210(..)s 7554(..)s
7898(..)s 8242(..)s 8842(13)s 720 9285(2.2.)m 1184(Named)s
1933(parameters)s 3426(..)s 3770(..)s 4114(..)s 4458(..)s
4802(..)s 5146(..)s 5490(..)s 5834(..)s 6178(..)s
6522(..)s 6866(..)s 7210(..)s 7554(..)s 7898(..)s
8242(..)s 8840(15)s 720 8940(2.3.)m 1184(Nested)s 1906(de\207nitions,)s
3023(body)s 3557(parameters,)s 4711(e)s 3(xtend,)k 5453(import,)s
6197(and)s 6601(e)s 3(xport)k 7554(..)s 7898(..)s
8242(..)s 8838(17)s 720 8595(2.4.)m 1184(Filtered)s 1984(right)s
2495(and)s 2899(body)s 3433(parameters)s 4802(..)s 5146(..)s
5490(..)s 5834(..)s 6178(..)s 6522(..)s 6866(..)s
7210(..)s 7554(..)s 7898(..)s 8242(..)s 8831(20)s
720 8250(2.5.)m 1184(Precedence)s 2328(and)s 2732(associati)s 6(vity)k
3974(of)s 4245(symbols)s 5490(..)s 5834(..)s 6178(..)s
6522(..)s 6866(..)s 7210(..)s 7554(..)s 7898(..)s
8242(..)s 8832(22)s 720 7905(2.6.)m 1184(The)s 1612(style)s
2119(and)s 2523(size)s 2950(of)s 3221(objects)s 4458(..)s
4802(..)s 5146(..)s 5490(..)s 5834(..)s 6178(..)s
6522(..)s 6866(..)s 7210(..)s 7554(..)s 7898(..)s
8242(..)s 8842(23)s 720 7560(2.7.)m 1184(Galle)s 3(ys)k
1962(and)s 2366(tar)s 4(gets)k 3426(..)s 3770(..)s
4114(..)s 4458(..)s 4802(..)s 5146(..)s 5490(..)s
5834(..)s 6178(..)s 6522(..)s 6866(..)s 7210(..)s
7554(..)s 7898(..)s 8242(..)s 8840(25)s 720 7215(2.8.)m
1184(Sorted)s 1866(g)s 1(alle)k 3(ys)k 3082(..)s
3426(..)s 3770(..)s 4114(..)s 4458(..)s 4802(..)s
5146(..)s 5490(..)s 5834(..)s 6178(..)s 6522(..)s
6866(..)s 7210(..)s 7554(..)s 7898(..)s 8242(..)s
8832(32)s 720 6870(2.9.)m 1184(Horizontal)s 2261(g)s 1(alle)k 3(ys)k
3426(..)s 3770(..)s 4114(..)s 4458(..)s 4802(..)s
5146(..)s 5490(..)s 5834(..)s 6178(..)s 6522(..)s
6866(..)s 7210(..)s 7554(..)s 7898(..)s 8242(..)s
8842(33)s 720 6525(2.10.)m 1304(Optimal)s 2142(g)s 1(alle)k 3(y)k
2776(breaking)s 4114(..)s 4458(..)s 4802(..)s 5146(..)s
5490(..)s 5834(..)s 6178(..)s 6522(..)s 6866(..)s
7210(..)s 7554(..)s 7898(..)s 8242(..)s 8840(35)s
240 fnt84 0 5896(Chapter)m 908(3)s 240 fnt82 1021 5897(.)m
240 fnt84 1185 5896(Pr)m 4(ede\207ned)k 2338(symbols)s 240 fnt82
3426 5897(..)m 3770(..)s 4114(..)s 4458(..)s 4802(..)s
5146(..)s 5490(..)s 5834(..)s 6178(..)s 6522(..)s
6866(..)s 7210(..)s 7554(..)s 7898(..)s 8242(..)s
8833(36)s 720 5552(3.1.)m 1184(@Be)s 3(gin)k 2031(and)s
2435(@End)s 3426(..)s 3770(..)s 4114(..)s 4458(..)s
4802(..)s 5146(..)s 5490(..)s 5834(..)s 6178(..)s
6522(..)s 6866(..)s 7210(..)s 7554(..)s 7898(..)s
8242(..)s 8833(36)s 720 5207(3.2.)m 1184(Concatenation)s 2623(symbols)s
3472(and)s 3876(paragraphs)s 5490(..)s 5834(..)s 6178(..)s
6522(..)s 6866(..)s 7210(..)s 7554(..)s 7898(..)s
8242(..)s 8833(36)s 720 4862(3.3.)m 1184(@F)s 3(ont)k
1901(and)s 2305(@Char)s 3426(..)s 3770(..)s 4114(..)s
4458(..)s 4802(..)s 5146(..)s 5490(..)s 5834(..)s
6178(..)s 6522(..)s 6866(..)s 7210(..)s 7554(..)s
7898(..)s 8242(..)s 8831(40)s 720 4517(3.4.)m 1184(@Break)s
2394(..)s 2738(..)s 3082(..)s 3426(..)s 3770(..)s
4114(..)s 4458(..)s 4802(..)s 5146(..)s 5490(..)s
5834(..)s 6178(..)s 6522(..)s 6866(..)s 7210(..)s
7554(..)s 7898(..)s 8242(..)s 8832(42)s 720 4172(3.5.)m
1184(@Space)s 2394(..)s 2738(..)s 3082(..)s 3426(..)s
3770(..)s 4114(..)s 4458(..)s 4802(..)s 5146(..)s
5490(..)s 5834(..)s 6178(..)s 6522(..)s 6866(..)s
7210(..)s 7554(..)s 7898(..)s 8242(..)s 8842(43)s
720 3827(3.6.)m 1184(@YUnit,)s 2110(@ZUnit,)s 3009(@CurrYUnit,)s 4373(and)s
4777(@CurrZUnit)s 6522(..)s 6866(..)s 7210(..)s 7554(..)s
7898(..)s 8242(..)s 8832(44)s 720 3482(3.7.)m 1184(@SetColour)s
2435(and)s 2839(@SetColor)s 4458(..)s 4802(..)s 5146(..)s
5490(..)s 5834(..)s 6178(..)s 6522(..)s 6866(..)s
7210(..)s 7554(..)s 7898(..)s 8242(..)s 8840(45)s
720 3137(3.8.)m 1184(@Outline)s 2394(..)s 2738(..)s 3082(..)s
3426(..)s 3770(..)s 4114(..)s 4458(..)s 4802(..)s
5146(..)s 5490(..)s 5834(..)s 6178(..)s 6522(..)s
6866(..)s 7210(..)s 7554(..)s 7898(..)s 8242(..)s
8833(46)s 720 2792(3.9.)m 1184(@Language)s 2405(and)s 2809(@CurrLang)s
4458(..)s 4802(..)s 5146(..)s 5490(..)s 5834(..)s
6178(..)s 6522(..)s 6866(..)s 7210(..)s 7554(..)s
7898(..)s 8242(..)s 8833(46)s 720 2447(3.10.)m 1304(@OneCol)s
2325(and)s 2729(@OneRo)s 6(w)k 4114(..)s 4458(..)s
4802(..)s 5146(..)s 5490(..)s 5834(..)s 6178(..)s
6522(..)s 6866(..)s 7210(..)s 7554(..)s 7898(..)s
8242(..)s 8838(47)s 720 2102(3.11.)m 1304(@W)s 9(ide)k
2090(and)s 2494(@High)s 3770(..)s 4114(..)s 4458(..)s
4802(..)s 5146(..)s 5490(..)s 5834(..)s 6178(..)s
6522(..)s 6866(..)s 7210(..)s 7554(..)s 7898(..)s
8242(..)s 8839(48)s 720 1757(3.12.)m 1304(@HShift)s 2222(and)s
2626(@VShift)s 3770(..)s 4114(..)s 4458(..)s 4802(..)s
5146(..)s 5490(..)s 5834(..)s 6178(..)s 6522(..)s
6866(..)s 7210(..)s 7554(..)s 7898(..)s 8242(..)s
8839(48)s 720 1412(3.13.)m 1304(@HExpand)s 2488(and)s 2892(@VExpand)s
4458(..)s 4802(..)s 5146(..)s 5490(..)s 5834(..)s
6178(..)s 6522(..)s 6866(..)s 7210(..)s 7554(..)s
7898(..)s 8242(..)s 8839(48)s 720 1067(3.14.)m 1304(@HContract)s
2581(and)s 2985(@VContract)s 4458(..)s 4802(..)s 5146(..)s
5490(..)s 5834(..)s 6178(..)s 6522(..)s 6866(..)s
7210(..)s 7554(..)s 7898(..)s 8242(..)s 8835(49)s
720 722(3.15.)m 1304(@HLimited)s 2512(and)s 2916(@VLimited)s 4458(..)s
4802(..)s 5146(..)s 5490(..)s 5834(..)s 6178(..)s
6522(..)s 6866(..)s 7210(..)s 7554(..)s 7898(..)s
8242(..)s 8835(49)s 720 377(3.16.)m 1304(@HAdjust,)s 2443(@V)s 32(Adjust,)k
3550(and)s 3954(@P)s 22(Adjust)k 5490(..)s 5834(..)s
6178(..)s 6522(..)s 6866(..)s 7210(..)s 7554(..)s
7898(..)s 8242(..)s 8835(49)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: iv 4
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
720 13808(3.17.)m 1304(@HScale)s 2271(and)s 2675(@VScale)s 4114(..)s
4458(..)s 4802(..)s 5146(..)s 5490(..)s 5834(..)s
6178(..)s 6522(..)s 6866(..)s 7210(..)s 7554(..)s
7898(..)s 8242(..)s 8831(50)s 720 13463(3.18.)m 1304(@HCo)s 3(v)k 3(er)k
2337(and)s 2741(@VCo)s 3(v)k 3(er)k 4114(..)s
4458(..)s 4802(..)s 5146(..)s 5490(..)s 5834(..)s
6178(..)s 6522(..)s 6866(..)s 7210(..)s 7554(..)s
7898(..)s 8242(..)s 8831(50)s 720 13118(3.19.)m 1304(@StartHSpan,@StartVSpan,)s
4117(@StartHVSpan,)s 5720(@HSpan,)s 6700(and)s 7104(@VSpan)s 8242(..)s
8851(51)s 720 12773(3.20.)m 1304(@Scale)s 2394(..)s 2738(..)s
3082(..)s 3426(..)s 3770(..)s 4114(..)s 4458(..)s
4802(..)s 5146(..)s 5490(..)s 5834(..)s 6178(..)s
6522(..)s 6866(..)s 7210(..)s 7554(..)s 7898(..)s
8242(..)s 8832(52)s 720 12428(3.21.)m 1304(@Rotate)s 2394(..)s
2738(..)s 3082(..)s 3426(..)s 3770(..)s 4114(..)s
4458(..)s 4802(..)s 5146(..)s 5490(..)s 5834(..)s
6178(..)s 6522(..)s 6866(..)s 7210(..)s 7554(..)s
7898(..)s 8242(..)s 8832(52)s 720 12083(3.22.)m 1304(@Background)s
3082(..)s 3426(..)s 3770(..)s 4114(..)s 4458(..)s
4802(..)s 5146(..)s 5490(..)s 5834(..)s 6178(..)s
6522(..)s 6866(..)s 7210(..)s 7554(..)s 7898(..)s
8242(..)s 8842(53)s 720 11738(3.23.)m 1304(@K)s 6(ernShrink)k
3082(..)s 3426(..)s 3770(..)s 4114(..)s 4458(..)s
4802(..)s 5146(..)s 5490(..)s 5834(..)s 6178(..)s
6522(..)s 6866(..)s 7210(..)s 7554(..)s 7898(..)s
8242(..)s 8842(53)s 720 11393(3.24.)m 1304(@Common,)s 2524(@Rump,)s
3438(and)s 3842(@Meld)s 5146(..)s 5490(..)s 5834(..)s
6178(..)s 6522(..)s 6866(..)s 7210(..)s 7554(..)s
7898(..)s 8242(..)s 8832(54)s 720 11048(3.25.)m 1304(@Insert)s
2394(..)s 2738(..)s 3082(..)s 3426(..)s 3770(..)s
4114(..)s 4458(..)s 4802(..)s 5146(..)s 5490(..)s
5834(..)s 6178(..)s 6522(..)s 6866(..)s 7210(..)s
7554(..)s 7898(..)s 8242(..)s 8832(54)s 720 10703(3.26.)m
1304(@OneOf)s 2738(..)s 3082(..)s 3426(..)s 3770(..)s
4114(..)s 4458(..)s 4802(..)s 5146(..)s 5490(..)s
5834(..)s 6178(..)s 6522(..)s 6866(..)s 7210(..)s
7554(..)s 7898(..)s 8242(..)s 8840(55)s 720 10358(3.27.)m
1304(@Ne)s 3(xt)k 2394(..)s 2738(..)s 3082(..)s
3426(..)s 3770(..)s 4114(..)s 4458(..)s 4802(..)s
5146(..)s 5490(..)s 5834(..)s 6178(..)s 6522(..)s
6866(..)s 7210(..)s 7554(..)s 7898(..)s 8242(..)s
8833(56)s 720 10013(3.28.)m 1304(@Case)s 2394(..)s 2738(..)s
3082(..)s 3426(..)s 3770(..)s 4114(..)s 4458(..)s
4802(..)s 5146(..)s 5490(..)s 5834(..)s 6178(..)s
6522(..)s 6866(..)s 7210(..)s 7554(..)s 7898(..)s
8242(..)s 8833(56)s 720 9668(3.29.)m 1304(@Moment)s 2738(..)s
3082(..)s 3426(..)s 3770(..)s 4114(..)s 4458(..)s
4802(..)s 5146(..)s 5490(..)s 5834(..)s 6178(..)s
6522(..)s 6866(..)s 7210(..)s 7554(..)s 7898(..)s
8242(..)s 8838(57)s 720 9323(3.30.)m 1304(@Null)s 2394(..)s
2738(..)s 3082(..)s 3426(..)s 3770(..)s 4114(..)s
4458(..)s 4802(..)s 5146(..)s 5490(..)s 5834(..)s
6178(..)s 6522(..)s 6866(..)s 7210(..)s 7554(..)s
7898(..)s 8242(..)s 8839(58)s 720 8978(3.31.)m 1304(@Galle)s 3(y)k
2213(and)s 2617(@F)s 3(orceGalle)k 3(y)k 4458(..)s
4802(..)s 5146(..)s 5490(..)s 5834(..)s 6178(..)s
6522(..)s 6866(..)s 7210(..)s 7554(..)s 7898(..)s
8242(..)s 8839(58)s 720 8633(3.32.)m 1304(@Be)s 3(ginHeaderComponent,)k
4041(@EndHeaderComponent,)s 6596(@SetHeaderCom)s 8278(-)s 1304 8345(ponent,)m 2063(and)s
2467(@ClearHeaderComponent)s 5490(..)s 5834(..)s 6178(..)s 6522(..)s
6866(..)s 7210(..)s 7554(..)s 7898(..)s 8242(..)s
8839(58)s 720 8000(3.33.)m 1304(@NotRe)s 6(v)k 3(ealed)k
3082(..)s 3426(..)s 3770(..)s 4114(..)s 4458(..)s
4802(..)s 5146(..)s 5490(..)s 5834(..)s 6178(..)s
6522(..)s 6866(..)s 7210(..)s 7554(..)s 7898(..)s
8242(..)s 8831(60)s 720 7655(3.34.)m 1304(The)s 1732(cross)s
2274(reference)s 3217(symbols)s 4066(&&)s 4492(and)s 4896(&&&)s
5834(..)s 6178(..)s 6522(..)s 6866(..)s 7210(..)s
7554(..)s 7898(..)s 8242(..)s 8851(61)s 720 7310(3.35.)m
1304(@T)s 19(agged)k 2738(..)s 3082(..)s 3426(..)s
3770(..)s 4114(..)s 4458(..)s 4802(..)s 5146(..)s
5490(..)s 5834(..)s 6178(..)s 6522(..)s 6866(..)s
7210(..)s 7554(..)s 7898(..)s 8242(..)s 8851(61)s
720 6965(3.36.)m 1304(@Open and @Use)s 3426(..)s 3770(..)s 4114(..)s
4458(..)s 4802(..)s 5146(..)s 5490(..)s 5834(..)s
6178(..)s 6522(..)s 6866(..)s 7210(..)s 7554(..)s
7898(..)s 8242(..)s 8832(62)s 720 6620(3.37.)m 1304(@Database and @SysDatabase)s
4802(..)s 5146(..)s 5490(..)s 5834(..)s 6178(..)s
6522(..)s 6866(..)s 7210(..)s 7554(..)s 7898(..)s
8242(..)s 8832(62)s 720 6275(3.38.)m 1304(@Graphic)s 2738(..)s
3082(..)s 3426(..)s 3770(..)s 4114(..)s 4458(..)s
4802(..)s 5146(..)s 5490(..)s 5834(..)s 6178(..)s
6522(..)s 6866(..)s 7210(..)s 7554(..)s 7898(..)s
8242(..)s 8842(63)s 720 5930(3.39.)m 1304(@PlainGraphic)s 3082(..)s
3426(..)s 3770(..)s 4114(..)s 4458(..)s 4802(..)s
5146(..)s 5490(..)s 5834(..)s 6178(..)s 6522(..)s
6866(..)s 7210(..)s 7554(..)s 7898(..)s 8242(..)s
8838(67)s 720 5585(3.40.)m 1304(@IncludeGraphic)s 3065(and)s 3469(@SysIncludeGraphic)s
5834(..)s 6178(..)s 6522(..)s 6866(..)s 7210(..)s
7554(..)s 7898(..)s 8242(..)s 8838(67)s 720 5240(3.41.)m
1304(@PrependGraphic and @SysPrependGraphic)s 6178(..)s 6522(..)s 6866(..)s 7210(..)s
7554(..)s 7898(..)s 8242(..)s 8838(67)s 720 4895(3.42.)m
1304(@Include and @SysInclude)s 4458(..)s 4802(..)s 5146(..)s 5490(..)s
5834(..)s 6178(..)s 6522(..)s 6866(..)s 7210(..)s
7554(..)s 7898(..)s 8242(..)s 8839(68)s 720 4550(3.43.)m
1304(@BackEnd)s 2461(and)s 2865(the)s 3213(PlainT)s 16(e)k 3(xt)k
4183(and)s 4587(PDF)s 5084(back)s 5597(ends)s 6522(..)s
6866(..)s 7210(..)s 7554(..)s 7898(..)s 8242(..)s
8839(68)s 720 4205(3.44.)m 1304(@V)s 26(erbatim and @Ra)k 3(wV)k 26(erbatim)k
4802(..)s 5146(..)s 5490(..)s 5834(..)s 6178(..)s
6522(..)s 6866(..)s 7210(..)s 7554(..)s 7898(..)s
8242(..)s 8835(69)s 720 3860(3.45.)m 1304(@Underline)s 2738(..)s
3082(..)s 3426(..)s 3770(..)s 4114(..)s 4458(..)s
4802(..)s 5146(..)s 5490(..)s 5834(..)s 6178(..)s
6522(..)s 6866(..)s 7210(..)s 7554(..)s 7898(..)s
8242(..)s 8835(69)s 720 3515(3.46.)m 1304(@P)s 3(ageLabel)k
3082(..)s 3426(..)s 3770(..)s 4114(..)s 4458(..)s
4802(..)s 5146(..)s 5490(..)s 5834(..)s 6178(..)s
6522(..)s 6866(..)s 7210(..)s 7554(..)s 7898(..)s
8242(..)s 8831(70)s 240 fnt84 0 2886(Chapter)m 908(4)s
240 fnt82 1022 2887(.)m 240 fnt84 1186 2886(Examples)m 240 fnt82
2738 2887(..)m 3082(..)s 3426(..)s 3770(..)s 4114(..)s
4458(..)s 4802(..)s 5146(..)s 5490(..)s 5834(..)s
6178(..)s 6522(..)s 6866(..)s 7210(..)s 7554(..)s
7898(..)s 8242(..)s 8851(71)s 720 2542(4.1.)m 1184(An)s
1534(equation)s 2415(formatting)s 3476(package)s 4802(..)s 5146(..)s
5490(..)s 5834(..)s 6178(..)s 6522(..)s 6866(..)s
7210(..)s 7554(..)s 7898(..)s 8242(..)s 8851(71)s
720 2197(4.2.)m 1184(P)s 3(aragraphs,)k 2350(displays,)s 3241(and)s
3645(lists)s 4458(..)s 4802(..)s 5146(..)s 5490(..)s
5834(..)s 6178(..)s 6522(..)s 6866(..)s 7210(..)s
7554(..)s 7898(..)s 8242(..)s 8842(73)s 720 1852(4.3.)m
1184(P)s 3(age)k 1702(layout)s 2738(..)s 3082(..)s
3426(..)s 3770(..)s 4114(..)s 4458(..)s 4802(..)s
5146(..)s 5490(..)s 5834(..)s 6178(..)s 6522(..)s
6866(..)s 7210(..)s 7554(..)s 7898(..)s 8242(..)s
8838(77)s 720 1507(4.4.)m 1184(Chapters)s 2085(and)s 2489(sections)s
3770(..)s 4114(..)s 4458(..)s 4802(..)s 5146(..)s
5490(..)s 5834(..)s 6178(..)s 6522(..)s 6866(..)s
7210(..)s 7554(..)s 7898(..)s 8242(..)s 8832(82)s
720 1162(4.5.)m 1184(Bibliographies)s 3082(..)s 3426(..)s 3770(..)s
4114(..)s 4458(..)s 4802(..)s 5146(..)s 5490(..)s
5834(..)s 6178(..)s 6522(..)s 6866(..)s 7210(..)s
7554(..)s 7898(..)s 8242(..)s 8838(87)s 0 3(i)m 6(v)k

grestore

grestore

grestore

pgsave restore
showpage

%%Page: v 5
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt84 0 13841(Refer)m 4(ences)k 240 fnt82 1362 13842(..)m
1706(..)s 2050(..)s 2394(..)s 2738(..)s 3082(..)s
3426(..)s 3770(..)s 4114(..)s 4458(..)s 4802(..)s
5146(..)s 5490(..)s 5834(..)s 6178(..)s 6522(..)s
6866(..)s 7210(..)s 7554(..)s 7898(..)s 8242(..)s
8832(92)s 240 fnt84 0 13215(Index)m 240 fnt82 1018 13216(..)m
1362(..)s 1706(..)s 2050(..)s 2394(..)s 2738(..)s
3082(..)s 3426(..)s 3770(..)s 4114(..)s 4458(..)s
4802(..)s 5146(..)s 5490(..)s 5834(..)s 6178(..)s
6522(..)s 6866(..)s 7210(..)s 7554(..)s 7898(..)s
8242(..)s 8842(93)s 8951 3(v)m 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: vi 6
%%BeginPageSetup
%%PageResources: font Times-Roman
/pgsave save def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
0 3(vi)m 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 1 7
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
480 fnt84 0 12955(Chapter)m 1819(1.)s 2400(Principles)s 240 fnt82
0 12004(The)m 414(Lout)s 911(document)s 1900(formatting)s 2946(language)s
3852(is)s 4047(based)s 4635(on)s 4917(just)s 5307(four)s
5751(k)s 2(e)k 3(y)k 6131(ideas:)s 6713(objects,)s
7482(de\207nitions,)s 8584(cross)s 0 11716(references,)m 1087(and)s 1491(g)s 1(alle)k 3(ys.)k
2328(This)s 2804(chapter)s 3567(concentrates)s 4812(on)s 5109(them,)s
5694(postponing)s 6812(the)s 7160(ine)s 6(vitable)k 8152(details.)s
240 fnt84 0 10923(1.1.)m 471(Objects)s 240 fnt82 480 10447(Since)m
1075(our)s 1462(aim)s 1888(is)s 2106(to)s 2354(produce)s
3189(neatly)s 3835(formatted)s 4829(documents,)s 5981(we)s 6325(should)s
7030(be)s 3(gin)k 7624(by)s 7926(looking)s 8719(at)s
8960(a)s 0 10159(typical)m 705(e)s 3(xample)k 1568(of)s
1839(such)s 2335(a)s 2501(document:)s 1927 2494 0 2494 240 288 60 480 7325 LoutGr2
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
160 fnt84 560 1987(PURCELL)m
128 fnt82 1316 2059(1)m 160 fnt82 170 1695(In)m 395(the)s
681(w)s 1(orld)k 1145(of)s 1381(music)s 170 1515(England)m
882(is)s 1163(supposed)s 170 1335(to)m 376(be)s 611(a)s
768(mere)s 1171(pro)s 2(vince.)k 170 1155(If)m 465(she)s
856(produces)s 1608(an)s 170 975(indif)m 4(ferent)k 1136(composer)s
567 0 0 0 160 180 40 170 763 LoutGr2
0 0 moveto xsize 0 lineto stroke
grestore

grestore
128 fnt82 170 624(1)m 160 fnt82 221 552(Blom,)m 703(Eric.)s
160 fnt83 1133 553(Some)m 170 373(Gr)m 5(eat)k 734(Composer)s 1(s.)k
160 fnt82 170 192(Oxford,)m 703(1944.)s 
grestore
1927 2494 0 2494 240 288 60 480 4831 LoutGr2
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
160 fnt82 170 2161(or)m
453(performer)s 6(,)k 1267(that)s 1657(is)s 170 1981(re)m 2(garded)k
862(else)s 4(where)k 1630(as)s 170 1801(perfectly)m 905(normal)s
1527(and)s 170 1621(natural;)m 762(b)s 3(ut)k 1078(if)s
1298(foreign)s 170 1441(students)m 905(of)s 1264(musical)s 170 1261(history)m
976(ha)s 3(v)k 2(e)k 1637(to)s 170 1081(ackno)m 4(wledge)k
1130(a)s 1326(British)s 170 901(musical)m 795(genius,)s 1376(he)s
1657(is)s 170 721(considered)m 901(a)s 1012(freak.)s 490 488(Such)m
957(a)s 1178(freak)s 1657(is)s 170 308(Henry)m 607(Purcell.)s
1170(Y)s 16(et)k 1426(if)s 1574(we)s 
grestore
1927 2494 0 2494 240 288 60 480 2337 LoutGr2
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
160 fnt82
170 2161(mak)m 1(e)k 565(a)s 690(choice)s 1157(of)s
1352(\207fteen)s 170 1981(of)m 407(the)s 695(w)s 1(orld')k 8(s)k
1264(musical)s 170 1801(classics,)m 740(as)s 918(here,)s 1276(we)s
1510(\207nd)s 170 1621(that)m 464(we)s 703(cannot)s 1185(omit)s
1533(this)s 170 1441(English)m 695(master)s 8(.)k 
grestore
0 1886(It)m
229(is)s 463(a)s 653(lar)s 4(ge)k 1206(rectangle)s
2161(made)s 2759(from)s 3307(three)s 3864(smaller)s 4651(rectangles)s
5694(\211)s 5898(its)s 6198(pages.)s 6931(Each)s 7490(page)s
8022(is)s 8256(made)s 8855(of)s 0 1598(lines;)m 578(each)s
1088(line)s 1517(is)s 1743(made)s 2332(of)s 2618(w)s 2(ords,)k
3324(although)s 4234(it)s 4441(mak)s 2(es)k 5117(sense)s
5706(for)s 6059(an)s 3(y)k 6472(rectangle)s 7418(\(e)s 6(v)k 3(en)k
8012(a)s 8194(complete)s 0 1310(document\))m 1072(to)s 1311(be)s
1593(part)s 2024(of)s 2295(a)s 2461(line,)s 2926(pro)s 3(vided)k
3832(it)s 4024(is)s 4234(not)s 4600(too)s 4959(lar)s 4(ge.)k
480 936(Lout)m 995(deals)s 1541(with)s 2027(something)s 3081(a)s
3251(little)s 3747(more)s 4298(complicated)s 5528(than)s 6001(rectangles:)s
240 fnt83 7079 938(objects.)m 240 fnt82 7914 936(An)m 8268(object)s
8916(is)s 0 648(a)m 176(rectangle)s 1118(with)s 1611(at)s
1854(least)s 2362(one)s 240 fnt83 2775 650(column)m 3545(mark)s
240 fnt82 4112 648(protruding)m 5186(abo)s 3(v)k 3(e)k
5819(and)s 6234(belo)s 6(w)k 6878(it,)s 7128(and)s
7543(at)s 7786(least)s 8294(one)s 240 fnt83 8707 650(r)m 10(ow)k
192 fnt84 4490 0(1)m 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 2 8
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(2)m 240 fnt83 6965 13843(Chapter)m 7815(1.)s
8089(Principles)s 0 13205(mark)m 240 fnt82 557 13203(protruding)m 1621(to)s
1861(the)s 2211(left)s 2589(and)s 2994(right.)s 3611(The)s
4040(simplest)s 4897(objects)s 5627(contain)s 6389(w)s 2(ords)k
7024(lik)s 2(e)k 7438(metempsychosis,)s 0 12915(and)m 404(ha)s 4(v)k 3(e)k
905(one)s 1307(mark)s 1859(of)s 2130(each)s 2625(type:)s
1572 215 0 106 240 288 60 480 12360 LoutGr2
grestore save gsave 200 dict begin lfigdict begin
grestore
1572 215 0 106 240 288 60 0 0 LoutGr2
/lfiglightgrey [ lfigbox ] gsave lfigpaintpath grestore
0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore
1572 215 0 106 240 288 60 0 0 LoutGr2

0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigdashed [ -0.3 cm ymark
xsize ymark 0.3 cm 0 lfigpadd []
xmark -0.3 cm
xmark ysize 0 0.3 cm lfigpadd ] lfigdopath
pop pop
grestore
0 52(metempsychosis)m 
grestore

grestore
end end restore
grestore
0 11909(The)m 441(rectangle)s 1386(e)s 3(xactly)k
2141(encloses)s 3016(the)s 3377(w)s 2(ord;)k 3993(its)s
4283(column)s 5072(mark)s 5637(is)s 5861(at)s 6107(the)s
6469(left)s 6859(edge,)s 7432(and)s 7850(its)s 8140(ro)s 6(w)k
8574(mark)s 0 11621(passes)m 668(through)s 1477(the)s 1831(middle)s
2558(of)s 2835(the)s 3190(lo)s 6(wer)k 4(-case)k
4276(letters.)s 5029(The)s 5463(rectangle)s 6401(and)s 6811(marks)s
7453(do)s 7752(not)s 8125(appear)s 8829(on)s 0 11333(the)m
348(printed)s 1083(page,)s 1642(b)s 4(ut)k 2004(to)s
2243(understand)s 3351(what)s 3876(Lout)s 4388(is)s 4598(doing)s
5197(you)s 5612(ha)s 4(v)k 3(e)k 6113(to)s
6352(imagine)s 7178(them.)s 480 10959(T)m 19(o)k 782(place)s
1344(tw)s 2(o)k 1756(objects)s 2487(side)s 2930(by)s
3226(side,)s 3721(we)s 4058(separate)s 4898(them)s 5438(by)s
5735(the)s 6085(symbol)s 220 fnt35 6847 10956(|,)m 240 fnt82
7009 10959(which)m 7653(denotes)s 8437(the)s 8788(act)s 0 10671(of)m
240 fnt83 271 10673(horizontal)m 1315(concatenation)s 240 fnt82 2665 10671(.)m
2829(So,)s 3189(if)s 3406(we)s 3741(write)s 220 fnt35
480 10189(USA  |  A)m 6(ustr)k 2(alia)k 240 fnt82 0 9734(the)m
348(result)s 938(will)s 1364(be)s 1646(the)s 1994(object)s
476 165 0 57 240 288 60 480 9228 LoutGr2
grestore save gsave 200 dict begin lfigdict begin
grestore
476 165 0 57 240 288 60 0 0 LoutGr2
/lfiglightgrey [ lfigbox ] gsave lfigpaintpath grestore
0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore
476 165 0 57 240 288 60 0 0 LoutGr2

0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigdashed [ -0.3 cm ymark
xsize ymark 0.3 cm 0 lfigpadd []
xmark -0.3 cm
xmark ysize 0 0.3 cm lfigpadd ] lfigdopath
pop pop
grestore
0 3(USA)m 
grestore

grestore
end end restore
grestore
875 165 0 56 240 288 60 956 9229 LoutGr2
grestore save gsave 200 dict begin lfigdict begin
grestore
875 165 0 56 240 288 60 0 0 LoutGr2
/lfiglightgrey [ lfigbox ] gsave lfigpaintpath grestore
0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore
875 165 0 56 240 288 60 0 0 LoutGr2

0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigdashed [ -0.3 cm ymark
xsize ymark 0.3 cm 0 lfigpadd []
xmark -0.3 cm
xmark ysize 0 0.3 cm lfigpadd ] lfigdopath
pop pop
grestore
0 2(Australia)m 
grestore

grestore
end end restore
grestore
0 8777(Notice)m 718(that)s 1162(this)s
1583(object)s 2253(has)s 2648(tw)s 2(o)k 3084(column)s
3884(marks,)s 4601(b)s 4(ut)k 4988(still)s 5426(only)s
5931(one)s 6359(ro)s 6(w)k 6804(mark,)s 7428(because)s
220 fnt35 8266 8774(|)m 240 fnt82 8389 8777(mer)m 4(ges)k
0 8489(the)m 382(tw)s 2(o)k 827(ro)s 6(w)k
1282(marks)s 1952(together)s 13(.)k 2921(This)s 3431(mer)s 4(ging)k
4312(of)s 4618(ro)s 6(w)k 5073(marks)s 5743(\207x)s 3(es)k
6277(the)s 6660(v)s 3(ertical)k 7462(position)s 8325(of)s
8631(each)s 0 8201(object)m 647(with)s 1133(respect)s 1873(to)s
2115(the)s 2467(other)s 9(,)k 3060(b)s 4(ut)k
3425(it)s 3621(does)s 4115(not)s 4485(determine)s 5499(ho)s 6(w)k
5964(f)s 2(ar)k 6290(apart)s 6830(the)s 3(y)k
7297(are.)s 7756(This)s 8236(distance,)s 0 7913(or)m 240 fnt83
276 7915(gap)m 240 fnt82 629 7913(,)m 753(may)s 1236(be)s
1536(gi)s 6(v)k 3(en)k 2133(just)s 2555(after)s
3069(the)s 3434(symbol,)s 4263(as)s 4531(in)s 220 fnt35
4791 7910(|0.5i)m 240 fnt82 5264 7913(for)m 5620(e)s 3(xample,)k
6551(which)s 7210(speci\207es)s 8102(horizontal)s 0 7625(concatenation)m 1385(with)s
1867(a)s 2033(g)s 1(ap)k 2431(of)s 2702(half)s
3145(an)s 3428(inch.)s 4004(If)s 4234(no)s 4527(g)s 1(ap)k
4925(is)s 5135(gi)s 6(v)k 3(en,)k 5765(it)s
5957(is)s 6167(assumed)s 7049(to)s 7288(be)s 220 fnt35
7570 7622(0i)m 240 fnt82 7726 7625(.)m 240 fnt83 480 7253(V)m 26(ertical)k
1283(concatenation)s 240 fnt82 2633 7251(,)m 2740(denoted)s 3556(by)s
220 fnt35 3850 7248(/)m 240 fnt82 3914 7251(,)m 4021(is)s
4231(the)s 4579(same)s 5126(apart)s 5663(from)s 6187(the)s
6535(change)s 7269(of)s 7540(direction:)s 220 fnt35 480 6750(A)m 6(ustr)k 2(alia  /0.1i  USA)k
240 fnt82 0 6295(has)m 370(result)s 875 165 0 56 240 288 60 480 5840 LoutGr2
grestore save gsave 200 dict begin lfigdict begin
grestore
875 165 0 56 240 288 60 0 0 LoutGr2
/lfiglightgrey [ lfigbox ] gsave lfigpaintpath grestore
0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore
875 165 0 56 240 288 60 0 0 LoutGr2

0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigdashed [ -0.3 cm ymark
xsize ymark 0.3 cm 0 lfigpadd []
xmark -0.3 cm
xmark ysize 0 0.3 cm lfigpadd ] lfigdopath
pop pop
grestore
0 2(Australia)m 
grestore

grestore
end end restore
grestore
476 165 0 57 240 288 60 480 5531 LoutGr2
grestore save gsave 200 dict begin lfigdict begin
grestore
476 165 0 57 240 288 60 0 0 LoutGr2
/lfiglightgrey [ lfigbox ] gsave lfigpaintpath grestore
0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore
476 165 0 57 240 288 60 0 0 LoutGr2

0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigdashed [ -0.3 cm ymark
xsize ymark 0.3 cm 0 lfigpadd []
xmark -0.3 cm
xmark ysize 0 0.3 cm lfigpadd ] lfigdopath
pop pop
grestore
0 3(USA)m

grestore

grestore
end end restore
grestore
0 5080(The)m 485(usual)s 1102(mer)s 4(ging)k 2005(of)s
2333(marks)s 3026(occurs,)s 3814(and)s 4275(no)s 6(w)k
4793(the)s 5199(g)s 1(ap)k 5654(determines)s 6810(the)s
7215(v)s 3(ertical)k 8040(separation.)s 0 4792(Horizontal)m 1077(and)s
1481(v)s 3(ertical)k 2248(can)s 2637(be)s 2919(combined:)s
220 fnt35 1000 4340(USA)m 2256(|0.2i)s 2772(A)s 6(ustr)k 2(alia)k
480 4052(/0.1i)m 1000(W)s 8(ashington)k 2256(|)s 2772(Canberr)s 2(a)k
240 fnt82 0 3553(has)m 370(result)s 476 165 0 57 240 288 60 480 3097 LoutGr2
grestore save gsave 200 dict begin lfigdict begin
grestore
476 165 0 57 240 288 60 0 0 LoutGr2
/lfiglightgrey [ lfigbox ] gsave lfigpaintpath grestore
0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore
476 165 0 57 240 288 60 0 0 LoutGr2

0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigdashed [ -0.3 cm ymark
xsize ymark 0.3 cm 0 lfigpadd []
xmark -0.3 cm
xmark ysize 0 0.3 cm lfigpadd ] lfigdopath
pop pop
grestore
0 3(USA)m 
grestore

grestore
end end restore
grestore
659 166 0 57 240 288 60 956 3097 LoutGr2
0 ymark moveto xsize 10 pt add ymark lineto [ 3 pt ] 0 setdash stroke
grestore

grestore
875 165 0 56 240 288 60 1903 3098 LoutGr2
grestore save gsave 200 dict begin lfigdict begin
grestore
875 165 0 56 240 288 60 0 0 LoutGr2
/lfiglightgrey [ lfigbox ] gsave lfigpaintpath grestore
0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore
875 165 0 56 240 288 60 0 0 LoutGr2

0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigdashed [ -0.3 cm ymark
xsize ymark 0.3 cm 0 lfigpadd []
xmark -0.3 cm
xmark ysize 0 0.3 cm lfigpadd ] lfigdopath
pop pop
grestore
0 2(Australia)m

grestore

grestore
end end restore
grestore
1135 215 0 106 240 288 60 480 2738 LoutGr2
grestore save gsave 200 dict begin lfigdict begin
grestore
1135 215 0 106 240 288 60 0 0 LoutGr2
/lfiglightgrey [ lfigbox ] gsave lfigpaintpath grestore
0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore
1135 215 0 106 240 288 60 0 0 LoutGr2

0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigdashed [ -0.3 cm ymark
xsize ymark 0.3 cm 0 lfigpadd []
xmark -0.3 cm
xmark ysize 0 0.3 cm lfigpadd ] lfigdopath
pop pop
grestore
0 52(W)m 19(ashington)k 
grestore

grestore
end end restore
grestore
876 166 0 57 240 288 60 1903 2787 LoutGr2
grestore save gsave 200 dict begin lfigdict begin
grestore
876 166 0 57 240 288 60 0 0 LoutGr2
/lfiglightgrey [ lfigbox ] gsave lfigpaintpath grestore
0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore
876 166 0 57 240 288 60 0 0 LoutGr2

0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigdashed [ -0.3 cm ymark
xsize ymark 0.3 cm 0 lfigpadd []
xmark -0.3 cm
xmark ysize 0 0.3 cm lfigpadd ] lfigdopath
pop pop
grestore
0 3(Canberra)m 
grestore

grestore
end end restore
grestore
0 2287(There)m 655(are)s
1044(se)s 6(v)k 3(eral)k 1808(things)s 2486(to)s
2768(note)s 3278(carefully)s 4222(here.)s 4839(White)s 5522(space)s
6151(\(including)s 7229(tabs)s 7707(and)s 8154(ne)s 6(wlines\))k
0 1999(adjacent)m 848(to)s 1078(a)s 1236(concatenation)s 2612(symbol)s
3364(is)s 3565(ignored,)s 4395(so)s 4652(it)s 4836(may)s
5293(be)s 5567(used)s 6055(to)s 6286(lay)s 6623(out)s
6981(the)s 7320(e)s 3(xpression)k 8388(clearly)s 15(.)k
0 1711(The)m 425(symbol)s 220 fnt35 1182 1708(|)m 240 fnt82
1275 1711(tak)m 2(es)k 1812(precedence)s 2940(o)s 3(v)k 3(er)k
220 fnt35 3415 1708(/)m 240 fnt82 3479 1711(,)m 3583(which)s
4221(means)s 4880(that)s 5295(the)s 5639(ro)s 6(ws)k
6146(are)s 6490(formed)s 7234(\207rst,)s 7709(then)s 8174(v)s 3(ertically)k
0 1423(concatenated.)m 1420(The)s 1856(symbol)s 220 fnt35 2625 1420(/)m
240 fnt82 2757 1423(will)m 3191(mer)s 4(ge)k 3849(tw)s 2(o)k
4267(or)s 4535(more)s 5090(column)s 5873(marks,)s 6573(creating)s
7403(multiple)s 8264(columns)s 0 1135(\(and)m 220 fnt35 484 1132(|)m
240 fnt82 583 1135(will)m 1011(mer)s 4(ge)k 1662(tw)s 2(o)k
2073(or)s 2334(more)s 2883(ro)s 6(w)k 3305(marks\).)s
4134(This)s 4611(implies)s 5367(that)s 5787(the)s 6137(g)s 1(ap)k
220 fnt35 6536 1132(0.2i)m 240 fnt82 6937 1135(used)m 7436(abo)s 3(v)k 3(e)k
8060(is)s 8272(between)s 0 847(columns,)m 910(not)s 1268(indi)s 6(vidual)k
2278(items)s 2838(in)s 3072(columns;)s 3987(a)s 4144(g)s 1(ap)k
4534(in)s 4768(the)s 5108(second)s 5822(ro)s 6(w)k
6234(w)s 2(ould)k 6880(therefore)s 7789(be)s 8062(redundant,)s
0 559(and)m 404(so)s 670(is)s 880(omitted.)s 480 185(A)m
710(v)s 6(ariant)k 1427(of)s 220 fnt35 1698 182(/)m
240 fnt82 1822 185(called)m 220 fnt35 2450 182(//)m 240 fnt82
2635 185(left-justi\207es)m 3825(tw)s 2(o)k 4235(objects)s 4963(instead)s
5698(of)s 5969(mer)s 4(ging)k 6815(their)s 7312(marks.)s

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 3 9
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(1.1.)m 454(Objects)s 240 fnt84 8953 13840(3)m
240 fnt82 480 13205(By)m 840(enclosing)s 1836(an)s 2145(object)s
2815(in)s 3085(braces,)s 3828(it)s 4046(is)s 4282(possible)s
5148(to)s 5414(o)s 3(v)k 3(erride)k 6286(the)s
6660(set)s 7011(precedences.)s 8369(Here)s 8916(is)s 0 12917(another)m
777(e)s 3(xpression)k 1854(for)s 2192(the)s 2540(table)s
3060(abo)s 3(v)k 3(e,)k 3733(in)s 3976(which)s
4618(the)s 4966(columns)s 5828(are)s 6175(formed)s 6923(\207rst:)s
220 fnt35 996 12416({ USA)m 2089(/0.1i)s 2609(W)s 8(ashington })k
480 12128(|0.2i)m 996({ A)s 6(ustr)k 2(alia)k 2089(/)s
2609(Canberr)s 2(a })k 240 fnt82 0 11634(Braces)m 701(ha)s 4(v)k 3(e)k
1202(no)s 1495(ef)s 6(fect)k 2091(other)s 2642(than)s
3111(to)s 3350(alter)s 3833(the)s 4181(grouping.)s 240 fnt83
480 11262(P)m 19(ar)k 3(a)k 2(gr)k 3(aph)k
1569(br)s 8(eaking)k 240 fnt82 2476 11260(occurs)m 3160(when)s
3746(an)s 4038(object)s 4692(is)s 4911(too)s 5280(wide)s
5810(to)s 6059(\207t)s 6327(into)s 6762(the)s 7119(space)s
7716(a)s 4(v)k 6(ailable)k 8633(to)s 8882(it;)s
0 10972(by)m 286(breaking)s 1168(its)s 1436(paragraphs)s 2527(into)s
2944(lines,)s 3494(its)s 3762(width)s 4355(is)s 4557(reduced)s
5364(to)s 5595(an)s 5869(acceptable)s 6925(amount.)s 7799(The)s
8218(a)s 4(v)k 6(ailable)k 0 10684(space)m 587(is)s
797(determined)s 1930(by)s 2224(the)s 220 fnt35 2572 10681(@Wide)m
240 fnt82 3346 10684(symbol,)m 4158(whose)s 4826(form)s 5350(is)s
240 fnt83 480 10181(length)m 220 fnt35 1193 10176(@Wide)m 240 fnt83
2027 10181(object)m 240 fnt82 0 9680(and)m 404(whose)s 1072(result)s
1662(is)s 1872(the)s 2220(gi)s 6(v)k 3(en)k
2800(object)s 3444(modi\207ed)s 4353(to)s 4592(ha)s 4(v)k 3(e)k
5093(e)s 3(xactly)k 5834(the)s 6182(gi)s 6(v)k 3(en)k
6762(length.)s 7524(F)s 3(or)k 7913(e)s 3(xample,)k
220 fnt35 480 9179(5i @Wide {)m 480 8891(Macbeth w)m 3(as v)k 5(er)k -6(y ambitious)k 3(.)k 13(  )k 11(This led him to wish to become king of)k
480 8603(Scotland.)m 13(  )k 11(The witches told him that this wish of his w)k 2(ould come tr)k -3(ue)k 3(.)k 13(  )k 11(The)k
480 8315(king of Scotland at this time w)m 3(as Duncan.)k 13(  Encour)k 2(aged b)k 4(y his wif)k 6(e)k 3(, Macbeth)k
480 8027(m)m 2(urdered Duncan.)k 13(  He w)k 3(as thus enab)k 4(led to succeed Duncan as king.)k 13(  \(51 w)k 2(ords\))k
480 7739(|0.5i)m 480 7451(Encour)m 2(aged b)k 4(y his wif)k 6(e)k 3(, Macbeth achie)k 6(v)k 5(ed his ambition and realiz)k 3(ed the)k
480 7163(prediction of the witches b)m 4(y m)k 2(urder)k -3(ing Duncan and becoming king of Scotland)k 480 6875(in his place)m 3(.)k 13(  \(26 w)k 2(ords\))k
480 6587(})m 240 fnt82 0 6093(has)m 370(for)s 708(its)s
984(result)s 1574(the)s 1922(follo)s 6(wing)k 2899(\207v)s 3(e)k
3311(inch)s 3780(wide)s 4301(object)s 4945([7)s 5132(]:)s
480 5590(Macbeth)m 1356(w)s 2(as)k 1758(v)s 3(ery)k
2216(ambitious.)s 3304(This)s 480 5302(led)m 828(him)s 1257(to)s
1493(wish)s 2000(to)s 2236(become)s 3033(king)s 3509(of)s
480 5014(Scotland.)m 1538(The)s 2023(witches)s 2861(told)s 3348(him)s
480 4726(that)m 922(this)s 1343(wish)s 1876(of)s 2172(his)s
2526(w)s 2(ould)k 3206(come)s 480 4438(true.)m 1025(The)s
1464(king)s 1954(of)s 2235(Scotland)s 3141(at)s 3384(this)s
480 4150(time)m 959(w)s 2(as)k 1379(Duncan.)s 2287(Encouraged)s
3486(by)s 480 3862(his)m 818(wife,)s 1357(Macbeth)s 2259(murdered)s
3242(Dun)s 3652(-)s 480 3574(can.)m 995(He)s 1350(w)s 2(as)k
1790(thus)s 2260(enabled)s 3081(to)s 3340(suc)s 3652(-)s
480 3286(ceed)m 976(Duncan)s 1778(as)s 2028(king.)s 2618(\(51)s
2972(w)s 2(ords\))k 4440 5590(Encouraged)m 5653(by)s 5960(his)s
6302(wife,)s 6846(Macbeth)s 4440 5302(achie)m 6(v)k 3(ed)k
5409(his)s 5809(ambition)s 6786(and)s 7260(real)s 7612(-)s
4440 5014(ized)m 4910(the)s 5272(prediction)s 6312(of)s 6597(the)s
6959(witches)s 4440 4726(by)m 4731(murdering)s 5776(Duncan)s 6574(and)s
6974(becom)s 7612(-)s 4440 4438(ing)m 4818(king)s 5316(of)s
5606(Scotland)s 6520(in)s 6782(his)s 7132(place.)s 4440 4150(\(26)m
4812(w)s 2(ords\))k 0 2783(A)m 232(paragraph)s 1247(of)s
1520(te)s 3(xt)k 1937(can)s 2328(be)s 2612(included)s
3496(an)s 3(ywhere,)k 4533(and)s 4939(it)s 5133(will)s
5561(be)s 5845(brok)s 2(en)k 6567(automatically)s 7923(if)s
8143(necessary)s 0 2495(to)m 239(\207t)s 498(the)s 846(a)s 4(v)k 6(ailable)k
1754(space.)s 2449(The)s 2877(spaces)s 3552(between)s 4406(w)s 2(ords)k
5040(are)s 5387(con)s 9(v)k 3(erted)k 6376(into)s
6801(concatenation)s 8186(symbols.)s 480 2121(These)m 1136(are)s 1512(the)s
1889(most)s 2443(signi\207cant)s 3528(of)s 3828(Lout')s 13(s)k
4519(object-b)s 4(uilding)k 6058(symbols.)s 7049(There)s 7691(are)s
8067(others,)s 8788(for)s 0 1833(changing)m 924(fonts,)s 1501(controlling)s
2596(paragraph)s 3601(breaking,)s 4538(printing)s 5340(graphical)s 6277(objects)s
6997(lik)s 2(e)k 7402(box)s 3(es)k 8001(and)s
8397(circles,)s 0 1545(and)m 404(so)s 670(on,)s 1017(b)s 4(ut)k
1379(the)s 3(y)k 1842(do)s 2135(not)s 2501(add)s
2905(an)s 3(ything)k 3793(ne)s 6(w)k 4240(in)s
4483(principle.)s 240 fnt84 0 752(1.2.)m 471(De\207nitions)s 240 fnt82
480 321(The)m 897(features)s 1691(of)s 1950(Lout)s 2451(are)s
2786(v)s 3(ery)k 3250(general.)s 4105(The)s 3(y)k
4637(do)s 4918(not)s 5272(assume)s 6020(that)s 6427(documents)s
7503(are)s 7838(composed)s 8855(of)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 4 10
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(4)m 240 fnt83 6965 13843(Chapter)m 7815(1.)s
8089(Principles)s 240 fnt82 0 13204(pages,)m 637(nor)s 1001(that)s
1403(there)s 1921(are)s 2252(such)s 2733(things)s 3353(as)s
3588(mar)s 4(gins)k 4389(and)s 4778(footnotes,)s 5759(for)s
6082(e)s 3(xample.)k 240 fnt83 7037 13206(De\207nitions)m 240 fnt82
8127 13204(bridge)m 8778(the)s 0 12916(g)m 1(ap)k 397(between)s
1249(Lout')s 13(s)k 1910(general)s 2666(features)s 3470(and)s
3873(the)s 4219(special)s 4935(features)s 5740(\211)s 5918(footnotes,)s
6913(equations,)s 7936(pages)s 8530(\211)s 8708(that)s 0 12628(particular)m
991(documents)s 2097(require.)s 2954(The)s 3(y)k 3515(hold)s
4017(the)s 4382(instr)s 4806(uct)s 5098(ions)s 5566(for)s
5922(producing)s 6963(these)s 7528(special)s 8264(features,)s 0 12340(con)m 9(v)k 3(eniently)k
1278(packaged)s 2240(ready)s 2825(for)s 3163(use.)s 480 11966(F)m 3(or)k
885(e)s 3(xample,)k 1815(consider)s 2701(the)s 3065(challenge)s
4053(posed)s 4686(by)s 4996(`)s 5057(T)s 5153 11918(E)m
5261 11966(X)m 5430(',)s 5633(which)s 6291(is)s 6517(the)s
6881(name)s 7471(of)s 7758(one)s 8176(of)s 8464(Lout')s 13(s)k
0 11678(most)m 525(illustrious)s 1531(ri)s 6(v)k 6(als)k
2100([5)s 2285(].)s 2528(Lout)s 3040(solv)s 3(es)k
3686(it)s 3878(easily)s 4489(enough,)s 5302(lik)s 2(e)k
5714(this:)s 220 fnt35 480 11177(T{ /0.2f)m 6(o E }X)k 240 fnt82
0 10683(b)m 4(ut)k 373(to)s 624(type)s 1103(this)s
1511(e)s 6(v)k 3(ery)k 2098(time)s 2590(T)s
2686 10635(E)m 2794 10683(X)m 3035(is)s 3256(mentioned)s 4336(w)s 2(ould)k
5002(be)s 5296(tedious)s 6050(and)s 6465(error)s 4(-prone.)k
7724(So)s 8041(we)s 8388(place)s 8960(a)s 0 10395(de\207nition)m
974(at)s 1206(the)s 1554(be)s 3(ginning)k 2562(of)s
2833(the)s 3181(document:)s 220 fnt35 480 9894(def  @T)m 26(eX  {  )k 11(T{ /0.2f)k 6(o E }X  })k
240 fnt82 0 9400(No)m 6(w)k 220 fnt35 514 9397(@T)m 26(eX)k
240 fnt82 1169 9400(stands)m 1818(for)s 2156(the)s 2504(object)s
3148(follo)s 6(wing)k 4125(it)s 4317(between)s 5171(braces,)s
5888(and)s 6292(we)s 6627(may)s 7093(write)s 220 fnt35
480 8899(consider)m 1370(the)s 1728(challenge)s 2719(posed)s 3366(b)s 4(y)k
3653(`@T)s 26(eX',)k 4451(\202)s 240 fnt82 0 8400(as)m
250(the)s 598(author)s 1269(did)s 1633(earlier)s 2301(in)s
2544(this)s 2940(paragraph.)s 480 8026(A)m 240 fnt83 706 8028(symbol)m
240 fnt82 1440 8026(is)m 1646(a)s 1808(name,)s 2429(lik)s 2(e)k
220 fnt35 2837 8023(@T)m 26(eX)k 240 fnt82 3432 8026(,)m
3535(which)s 4172(stands)s 4817(for)s 5151(something)s 6197(other)s
6744(than)s 7209(itself.)s 7845(The)s 8269(initial)s 220 fnt35
8875 8023(@)m 240 fnt82 0 7738(is)m 201(not)s 558(compulsory)s 15(,)k
1771(b)s 4(ut)k 2124(it)s 2307(does)s 2788(mak)s 2(e)k
3351(the)s 3690(name)s 4254(stand)s 4808(out)s 5165(clearly)s 15(.)k
5954(A)s 240 fnt83 6175 7740(de\207nition)m 240 fnt82 7124 7738(of)m
7386(a)s 7543(symbol)s 8293(declares)s 0 7450(a)m 164(name)s
736(to)s 973(be)s 1253(a)s 1417(symbol,)s 2227(and)s
2629(says)s 3090(what)s 3613(the)s 3959(symbol)s 4717(stands)s
5364(for)s 13(.)k 5791(The)s 240 fnt83 6217 7452(body)m
240 fnt82 6737 7450(of)m 7006(a)s 7170(de\207nition)s 8142(is)s
8350(the)s 8695(part)s 0 7162(follo)m 6(wing)k 977(the)s
1325(name,)s 1950(between)s 2804(the)s 3152(braces.)s 3926(T)s 19(o)k
240 fnt83 4226 7164(in)m 9(vok)k 2(e)k 240 fnt82
4892 7162(a)m 5058(symbol)s 5818(is)s 6028(to)s 6267(mak)s 2(e)k
6839(use)s 7214(of)s 7485(it.)s 480 6788(Another)m 1324(e)s 3(xpression)k
2401(ripe)s 2828(for)s 3166(packaging)s 4203(in)s 4446(a)s
4612(de\207nition)s 5586(is)s 220 fnt35 480 6287(@OneRo)m 3(w {  |  -2p @F)k 6(ont n  ^/0.5fk  2  })k
240 fnt82 0 5745(which)m 642(produces)s 200 fnt82 1671 5862(n)m
240 fnt82 1557 5745(2)m 1828(\(see)s 2268(Chapter)s 3085(2\).)s
3448(But)s 3854(this)s 4250(time)s 4730(we)s 5065(w)s 2(ould)k
5720(lik)s 2(e)k 6132(to)s 6371(be)s 6653(able)s
7107(to)s 7346(write)s 240 fnt83 480 5242(object)m 220 fnt35
1188 5237(@Super)m 240 fnt83 2116 5242(object)m 240 fnt82 0 4640(so)m
296(that)s 220 fnt35 745 4637(a)m 953(@Super)s 1853(2)s
240 fnt82 2055 4640(w)m 2(ould)k 2741(come)s 3345(out)s
3742(as)s 200 fnt82 4128 4769(2)m 240 fnt82 4022 4640(a)m
4223(,)s 4361(and)s 4796(so)s 5092(on,)s 5470(for)s
5838(in)s 6112(this)s 6538(w)s 2(ay)k 7020(the)s
7398(usefulness)s 8476(of)s 8778(the)s 0 4352(de\207nition)m 974(is)s
1184(greatly)s 1901(increased.)s 2967(Here)s 3487(is)s 3697(ho)s 6(w)k
4158(it)s 4350(is)s 4560(done:)s 220 fnt35 480 3851(def @Super)m
480 3563(   left x)m 480 3275(   r)m -3(ight y)k 480 2987({ @OneRo)m 3(w {  |  -2p @F)k 6(ont y  ^/0.5fk  x  })k
480 2699(})m 240 fnt82 0 2205(This)m 492(de\207nition)s 1483(says)s
1963(that)s 220 fnt35 2398 2202(@Super)m 240 fnt82 3283 2205(has)m
3669(tw)s 2(o)k 240 fnt83 4096 2207(par)m 3(ameter)k 2(s)k
240 fnt82 5176 2205(,)m 220 fnt35 5300 2202(x)m 240 fnt82
5485 2205(and)m 220 fnt35 5906 2202(y)m 240 fnt82 6014 2205(.)m
6194(When)s 220 fnt35 6840 2202(@Super)m 240 fnt82 7725 2205(is)m
7952(in)s 9(v)k 4(ok)k 2(ed,)k 8833(all)s
0 1917(occurrences)m 1205(of)s 220 fnt35 1490 1914(x)m 240 fnt82
1671 1917(in)m 1928(the)s 2289(body)s 2837(will)s 3276(be)s
3572(replaced)s 4452(by)s 4760(the)s 5121(object)s 5779(just)s
6197(to)s 6450(the)s 6811(left)s 7202(of)s 220 fnt35
7486 1914(@Super)m 240 fnt82 8294 1917(,)m 8415(and)s 8833(all)s
0 1629(occurrences)m 1192(of)s 220 fnt35 1462 1626(y)m 240 fnt82
1630 1629(will)m 2055(be)s 2337(replaced)s 3203(by)s 3496(the)s
3844(object)s 4487(just)s 4892(to)s 5130(the)s 5477(right.)s
6092(So,)s 6451(for)s 6789(e)s 3(xample,)k 7702(the)s
8049(e)s 3(xpression)k 220 fnt35 480 1128(2  @Super  { Slope @F)m 6(ont n })k
240 fnt82 0 632(is)m 210(equal)s 783(to)s 220 fnt35
480 131(@OneRo)m 3(w {  |  -2p @F)k 6(ont { Slope @F)k 6(ont n }  ^/0.5fk  2  })k 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 5 11
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13844(1.2.)m 454(De\207nitions)s 240 fnt84 8953 13841(5)m
240 fnt82 0 13151(and)m 404(so)s 670(comes)s 1332(out)s
1698(as)s 200 fnt83 2062 13281(n)m 240 fnt82 1948 13151(2)m
2157(.)s 480 12777(Lout)m 994(permits)s 1764(de\207nitions)s 2828(to)s
3070(in)s 9(v)k 4(ok)k 2(e)k 3765(themselv)s 3(es,)k
4934(a)s 5103(peculiarly)s 6115(circular)s 6905(thing)s 7453(to)s
7695(do)s 7991(which)s 8636(goes)s 0 12489(by)m 294(the)s
642(name)s 1216(of)s 240 fnt83 1487 12491(r)m 8(ecur)k 2(sion.)k
240 fnt82 2548 12489(Here)m 3068(is)s 3278(an)s 3561(e)s 3(xample)k
4424(of)s 4695(a)s 4861(recursi)s 6(v)k 3(e)k
5783(de\207nition:)s 220 fnt35 480 11988(def  @Leaders  {  ..)m 13(   @Leaders  })k 240 fnt82
0 11494(The)m 418(usual)s 968(rule)s 1384(is)s 1584(that)s
1991(the)s 2329(v)s 6(alue)k 2886(of)s 3147(an)s
3420(in)s 9(v)k 4(ocation)k 4463(of)s 4724(a)s
4879(symbol)s 5629(is)s 5828(a)s 5984(cop)s 2(y)k
6492(of)s 6752(the)s 7090(body)s 7613(of)s 7874(the)s
8211(symbol')s 13(s)k 0 11206(de\207nition,)m 1024(so)s 1290(the)s
1638(v)s 6(alue)k 2206(of)s 220 fnt35 2477 11203(@Leaders)m
240 fnt82 3546 11206(must)m 4071(be)s 220 fnt35 480 10724(..)m 13(   @Leaders)k
240 fnt82 0 10269(But)m 406(no)s 6(w)k 867(this)s
1263(rule)s 1690(applies)s 2418(to)s 2657(this)s 3053(ne)s 6(w)k
3500(in)s 9(v)k 4(ocation)k 4554(of)s 220 fnt35
4825 10266(@Leaders)m 240 fnt82 5834 10269(;)m 5946(substituting)s 7115(its)s
7391(body)s 7925(gi)s 6(v)k 3(es)k 220 fnt35
480 9768(..)m 13(   ..)k 13(   @Leaders)k 240 fnt82 0 9313(and)m
408(so)s 679(on)s 980(fore)s 6(v)k 3(er)k 13(.)k
1816(In)s 2076(order)s 2645(to)s 2888(mak)s 2(e)k
3465(this)s 3865(useful,)s 4561(an)s 4848(in)s 9(v)k 4(ocation)k
5907(of)s 6182(a)s 6353(recursi)s 6(v)k 3(e)k
7279(symbol)s 8044(is)s 8259(replaced)s 0 9025(by)m 294(its)s
570(body)s 1104(only)s 1584(if)s 1801(suf\207cient)s 2750(space)s
3337(is)s 3547(a)s 4(v)k 6(ailable.)k 4563(So,)s
4923(for)s 5261(e)s 3(xample,)k 220 fnt35 480 8524(4i @Wide { Chapter 7  @Leaders   62 })m
240 fnt82 0 8028(has)m 370(for)s 708(its)s 984(result)s
1574(the)s 1922(object)s 480 7524(Chapter)m 1297(7)s 1525(..)s
1809(..)s 2093(..)s 2377(..)s 2661(..)s 2945(..)s
3229(..)s 3513(..)s 3797(..)s 4081(..)s 4365(..)s
4649(..)s 4933(..)s 5217(..)s 5501(..)s 5785(62)s
0 7021(with)m 478(Lout)s 985(checking)s 1897(before)s 2558(each)s
3049(replacement)s 4271(of)s 220 fnt35 4537 7018(@Leaders)m 240 fnt82
5601 7021(by)m 220 fnt35 5891 7018(..)m 6177(@Leaders)s 240 fnt82
7241 7021(that)m 7654(the)s 7997(total)s 8471(length)s 0 6733(afterw)m 2(ards,)k
1112(including)s 2069(the)s 2417(other)s 2968(w)s 2(ords,)k
3658(w)s 2(ould)k 4313(not)s 4679(e)s 3(xceed)k
5398(four)s 5856(inches.)s 480 6359(The)m 902(remaining)s 1918(issue)s
2445(is)s 2649(what)s 3168(happens)s 3997(when)s 4567(Lout)s
5072(decides)s 5834(that)s 6246(it)s 6431(is)s 6635(time)s
7109(to)s 7341(stop.)s 7898(The)s 8319(ob)s 3(vious)k
0 6071(thing)m 545(to)s 784(do)s 1077(is)s 1287(to)s
1526(replace)s 2271(the)s 2619(last)s 3010(in)s 9(v)k 4(ocation)k
4064(by)s 4358(an)s 4641(empty)s 5293(object:)s 220 fnt35
480 5573(..)m 13(    ..)k 13(    ..)k 13(    ..)k 13(    ..)k 13(    ..)k 13(    ..)k 13(    ..)k 13(    {})k
240 fnt82 0 5079(As)m 316(the)s 662(e)s 3(xample)k
1524(sho)s 6(ws,)k 2222(this)s 2617(w)s 2(ould)k
3270(lea)s 4(v)k 3(e)k 3822(a)s 3986(small)s
4556(trailing)s 5297(space,)s 5933(which)s 6574(is)s 6782(a)s
6947(major)s 7562(headache.)s 8614(Lout)s 0 4791(\207x)m 3(es)k
517(this)s 930(by)s 1242(replacing)s 2201(the)s 2566(last)s
2975(in)s 9(v)k 4(ocation)k 4046(with)s 4545(a)s
4729(dif)s 6(ferent)k 5621(kind)s 6122(of)s 6411(empty)s
7080(object,)s 7788(called)s 220 fnt35 8434 4788(@Null)m 240 fnt82
9019 4791(,)m 0 4503(whose)m 677(ef)s 6(fect)k 1282(is)s
1501(to)s 1749(mak)s 2(e)k 2330(an)s 2623(adjacent)s
3488(concatenation)s 4882(symbol)s 5651(disappear)s 9(,)k 6674(preferably)s
7718(one)s 8130(preceding)s 0 4215(the)m 220 fnt35 348 4212(@Null)m
240 fnt82 933 4215(.)m 1097(Thus,)s 1683(when)s 2259(Lout)s
2771(replaces)s 220 fnt35 3604 4212(@Leaders)m 240 fnt82 4673 4215(by)m
220 fnt35 4967 4212(@Null)m 240 fnt82 5612 4215(in)m 5855(the)s
6203(e)s 3(xpression)k 220 fnt35 480 3714(..)m 13(    ..)k 13(    ..)k 13(    ..)k 13(    ..)k 13(    ..)k 13(    ..)k 13(    ..)k 13(    @Leaders)k
240 fnt82 0 3259(the)m 348(trailing)s 1089(space,)s 1727(which)s
2368(is)s 2577(really)s 3174(a)s 3339(horizontal)s 4362(concatenation)s
5747(symbol,)s 6558(disappears)s 7617(as)s 7867(well.)s 8441(This)s
8916(is)s 0 2971(tak)m 2(en)k 573(into)s 998(account)s
1802(when)s 2378(deciding)s 3255(whether)s 4085(there)s 4618(is)s
4828(room)s 5393(to)s 5632(replace)s 220 fnt35 6377 2968(@Leaders)m
240 fnt82 7446 2971(by)m 7740(its)s 8016(body)s 15(.)k
480 2597(The)m 903(remainder)s 1926(of)s 2192(this)s 2583(section)s
3312(is)s 3517(de)s 6(v)k 4(oted)k 4318(to)s
4552(sho)s 6(wing)k 5406(ho)s 6(w)k 5862(de\207nitions)s
6918(may)s 7379(be)s 7656(used)s 8148(to)s 8382(specify)s
0 2309(the)m 240 fnt83 348 2311(pa)m 2(g)k 2(e)k
863(layout)s 240 fnt82 1525 2309(of)m 1796(a)s 1962(document.)s
3070(T)s 19(o)k 3370(be)s 3(gin)k 3956(with,)s
4488(we)s 4823(can)s 5212(de\207ne)s 5853(a)s 6019(page)s
6527(lik)s 2(e)k 6939(this:)s 220 fnt35 480 1808(def @P)m 8(age)k
480 1520({)m 480 1232(    //1i  ||1i)m 480 944(    6i @Wide 9.5i @High)m 480 656(    { @T)m 26(e)k 6(xtPlace  //1r)k -8(t  @F)k 6(ootSect })k
480 368(    ||1i  //1i)m 480 80(})m 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 6 12
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
%%+ font Symbol
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(6)m 240 fnt83 6965 13843(Chapter)m 7815(1.)s
8089(Principles)s 240 fnt82 0 13205(No)m 6(w)k 220 fnt35
520 13202(@P)m 8(age)k 240 fnt82 1306 13205(is)m 1523(an)s
1813(eight)s 2358(by)s 2659(ele)s 6(v)k 3(en)k
3338(and)s 3749(a)s 3922(half)s 4371(inch)s 4847(object,)s
5545(with)s 6034(one)s 6443(inch)s 6919(mar)s 4(gins,)k
7799(a)s 7972(place)s 8539(at)s 8778(the)s 0 12917(top)m
367(for)s 713(te)s 3(xt,)k 1183(and)s 1595(a)s
1769(section)s 2511(at)s 2751(the)s 3108(bottom)s 3854(for)s
4200(footnotes)s 5149(\(since)s 220 fnt35 5783 12914(//1r)m -8(t)k
240 fnt82 6233 12917(bottom-justi\207es)m 7792(the)s 8149(follo)s 6(wing)k
0 12629(object\).)m 827(It)s 1032(will)s 1458(be)s 1740(con)s 9(v)k 3(enient)k
2838(for)s 3176(us)s 3440(to)s 3679(sho)s 6(w)k
4233(the)s 4581(ef)s 6(fect)k 5177(of)s 5448(in)s 9(v)k 4(oking)k
220 fnt35 6340 12626(@P)m 8(age)k 240 fnt82 7119 12629(lik)m 2(e)k
7531(this:)s 160 fnt35 480 11528(@P)m 6(age)k 220 fnt78
1240 11514(\336)m gsave
1690 9795 translate
220 fnt35 1927 2494 0 2494 220 288 61 LoutGraphic
gsave
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
160 fnt35 170 2207(@T)m 19(e)k 4(xtPlace)k
170 173(@F)m 4(ootSect)k 
grestore
240 fnt82 0 9344(with)m 482(the)s
830(in)s 9(v)k 4(ok)k 2(ed)k 1645(symbol)s
2405(appearing)s 3401(to)s 3640(the)s 3988(left)s 4365(of)s
4636(the)s 4984(arro)s 6(w)k 15(,)k 5627(and)s
6031(its)s 6307(body)s 6841(to)s 7080(the)s 7428(right.)s
480 8970(The)m 908(de\207nition)s 1882(of)s 2153(a)s 2319(v)s 3(ertical)k
3086(list)s 3437(of)s 3708(pages)s 4304(should)s 5001(come)s
5575(as)s 5825(no)s 6118(surprise:)s 220 fnt35 480 8469(def @P)m 8(ageList)k
480 8181({)m 480 7893(    @P)m 8(age  //  @P)k 8(ageList)k 480 7605(})m
240 fnt82 0 7111(This)m 476(allo)s 6(ws)k 1145(in)s 9(v)k 4(ocations)k
2286(lik)s 2(e)k 2698(the)s 3046(follo)s 6(wing:)k
gsave
480 0 translate
1.0867 1.0000 scale
160 fnt35 0 6010(@P)m 6(ageList)k 220 fnt78 890 5996(\336)m
gsave
1220 4277 translate
220 fnt35 1927 2494 0 2494 220 288 61 LoutGraphic
gsave
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
160 fnt35 170 2207(@T)m 19(e)k 4(xtPlace)k 170 173(@F)m 4(ootSect)k

grestore
160 fnt35 1220 4047(@P)m 6(ageList)k 220 fnt78 3267 5996(\336)m
gsave
3597 4277 translate
220 fnt35 1927 2494 0 2494 220 288 61 LoutGraphic
gsave
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
160 fnt35 170 2207(@T)m 19(e)k 4(xtPlace)k 170 173(@F)m 4(ootSect)k

grestore
gsave
3597 1783 translate
220 fnt35 1927 2494 0 2494 220 288 61 LoutGraphic
gsave
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
160 fnt35 170 2207(@T)m 19(e)k 4(xtPlace)k 170 173(@F)m 4(ootSect)k

grestore
160 fnt35 3597 1553(@P)m 6(ageList)k 220 fnt78 5644 5996(\336)m
gsave
5974 4277 translate
220 fnt35 1927 2494 0 2494 220 288 61 LoutGraphic
gsave
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
160 fnt35 170 2207(@T)m 19(e)k 4(xtPlace)k 170 173(@F)m 4(ootSect)k

grestore
gsave
5974 1783 translate
220 fnt35 1927 2494 0 2494 220 288 61 LoutGraphic
gsave
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
160 fnt35 170 2207(@T)m 19(e)k 4(xtPlace)k 170 173(@F)m 4(ootSect)k

grestore

grestore
0 1067(setting)m 220 fnt35 750 1064(@P)m 8(ageList)k 240 fnt82
1874 1067(to)m 200 fnt35 2113 1069(@Null)m 240 fnt82 2706 1067(on)m
3003(the)s 3351(last)s 3742(step.)s 4291(An)s 3(y)k
4755(number)s 5546(of)s 5817(pages)s 6413(can)s 6802(be)s
7084(generated.)s 480 693(A)m 703(de\207nition)s 1669(for)s 220 fnt35
1999 690(@T)m 26(e)k 6(xtPlace)k 240 fnt82 3209 693(is)m
3411(be)s 3(yond)k 4164(us)s 4420(at)s 4644(present,)s
5433(since)s 220 fnt35 5972 690(@T)m 26(e)k 6(xtPlace)k
240 fnt82 7182 693(must)m 7699(be)s 7973(replaced)s 8832(by)s
0 405(dif)m 6(ferent)k 877(parts)s 1394(of)s 1667(the)s
2018(te)s 3(xt)k 2435(of)s 2708(the)s 3059(document)s
4065(on)s 4364(dif)s 6(ferent)k 5242(pages.)s 5953(But)s
6361(we)s 6699(can)s 7090(de\207ne)s 220 fnt35 7733 402(@F)m 6(ootSect)k
240 fnt82 8887 405(to)m 0 117(be)m 282(a)s 448(small)s
1020(space)s 1607(follo)s 6(wed)k 2509(by)s 2803(a)s
2969(horizontal)s 3993(line)s 4407(follo)s 6(wed)k 5309(by)s
5603(a)s 5769(list)s 6120(of)s 6391(places)s 7039(where)s
7679(footnotes)s 8620(go:)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 7 13
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
%%+ font Symbol
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13844(1.2.)m 454(De\207nitions)s 240 fnt84 8951 13841(7)m
220 fnt35 480 13208(def @F)m 6(ootList         )k 480 12920({                     )m 480 12632(   @F)m 6(ootPlace  //0.3v  @F)k 6(ootList)k
480 12344(}                     )m 480 12056(                      )m 480 11768(def @F)m 6(ootSect)k 480 11480({                        )m
480 11192(   //0.3v 1i @Wide @HLine)m 480 10904(   //0.3v @F)m 6(ootList      )k 480 10616(}                        )m 240 fnt82
0 10122(assuming)m 950(that)s 220 fnt35 1360 10119(@HLine)m 240 fnt82
2199 10122(will)m 2617(produce)s 3436(a)s 3594(horizontal)s 4610(line)s
5016(of)s 5279(the)s 5619(indicated)s 6545(width.)s 7246(W)s 9(ith)k
7764(this)s 8152(de\207nition)s 0 9834(we)m 335(can)s 724(generate)s
1589(pages)s 2185(lik)s 2(e)k 2597(this:)s gsave
480 7000 translate
220 fnt35 1927 2494 0 2494 220 288 61 LoutGraphic
gsave
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
160 fnt35
170 2207(@T)m 19(e)k 4(xtPlace)k 170 173(@F)m 4(ootSect)k

grestore
220 fnt78 2647 8719(\336)m gsave
3097 7000 translate
220 fnt35 1927 2494 0 2494 220 288 61 LoutGraphic
gsave
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
160 fnt35 170 2207(@T)m 19(e)k 4(xtPlace)k
567 0 0 0 160 180 44 170 346 LoutGr2
0 0 moveto xsize 0 lineto stroke
grestore

grestore
170 173(@F)m 4(ootList)k 
grestore
5264(\336)s gsave
5714 7000 translate
220 fnt35 1927 2494 0 2494 220 288 61 LoutGraphic
gsave
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
160 fnt35 170 2207(@T)m 19(e)k 4(xtPlace)k
567 0 0 0 160 180 44 170 522 LoutGr2
0 0 moveto xsize 0 lineto stroke
grestore

grestore
170 349(@F)m 4(ootPlace)k 170 173(@F)m 4(ootList)k 
grestore
240 fnt82
0 6549(and)m 404(so)s 670(on)s 967(for)s 1305(arbitrarily)s
2312(man)s 3(y)k 2895(footnotes.)s 480 6175(W)m 19(e)k
852(will)s 1281(see)s 1646(in)s 1892(the)s 2244(ne)s 3(xt)k
2716(section)s 3454(ho)s 6(w)k 3918(in)s 9(v)k 4(ocations)k
5063(of)s 220 fnt35 5337 6172(@P)m 8(ageList,)k 6511(@F)s 6(ootSect)k
240 fnt82 7665 6175(and)m 220 fnt35 8073 6172(@F)m 6(ootList)k
240 fnt82 0 5887(are)m 356(replaced)s 1232(by)s 1535(their)s
2041(bodies)s 2726(only)s 3216(when)s 3801(the)s 4158(need)s
4677(to)s 4925(insert)s 5524(te)s 3(xt)k 5949(and)s
6362(footnotes)s 7312(obliges)s 8063(Lout)s 8584(to)s 8833(do)s
0 5599(so;)m 352(otherwise)s 1364(the)s 1740(in)s 9(v)k 4(ocations)k
2908(are)s 3283(replaced)s 4177(by)s 220 fnt35 4499 5596(@Null)m
240 fnt82 5084 5599(.)m 5275(In)s 5559(this)s 5982(w)s 2(ay)k 15(,)k
6499(the)s 6874(right)s 7413(number)s 8231(of)s 8530(pages)s
0 5311(is)m 223(made,)s 862(the)s 1224(small)s 1810(line)s
2238(appears)s 3033(only)s 3527(on)s 3838(pages)s 4447(that)s
4879(ha)s 4(v)k 3(e)k 5394(at)s 5640(least)s
6151(one)s 6567(footnote,)s 7485(and)s 7903(unnecessary)s 0 5023(concatenation)m
1385(symbols)s 2234(disappear)s 13(.)k 480 4649(This)m 958(approach)s
1894(to)s 2135(page)s 2645(layout)s 3305(is)s 3517(the)s
3867(most)s 4394(original)s 5194(contrib)s 4(ution)k 6418(Lout)s
6932(has)s 7304(made)s 7880(to)s 8122(document)s 0 4361(formatting.)m
1172(It)s 1377(is)s 1587(e)s 3(xtraordinarily)k 3057(\210e)s 3(xible.)k
3935(T)s 19(w)k 2(o-column)k 5207(pages?)s 5971(Use)s
220 fnt35 480 3860({2.8i @Wide @T)m 26(e)k 6(xtPlace}  ||0.4i  {2.8i @Wide @T)k 26(e)k 6(xtPlace})k
240 fnt82 0 3366(instead)m 768(of)s 220 fnt35 1072 3363(@T)m 26(e)k 6(xtPlace)k
240 fnt82 2230 3366(.)m 2427(F)s 3(ootnotes)k 3452(in)s
3728(smaller)s 4523(type?)s 5187(Use)s 220 fnt35 5648 3363(-2p)m
6051(@F)s 6(ont)k 6797(@F)s 6(ootPlace)k 240 fnt82
8086 3366(instead)m 8855(of)s 220 fnt35 0 3075(@F)m 6(ootPlace)k
240 fnt82 1196 3078(.)m 1360(And)s 1831(on)s 2128(and)s
2532(on.)s 240 fnt84 0 2330(1.3.)m 471(Cr)s 4(oss)k
1106(r)s 4(efer)k 4(ences)k 240 fnt82 480 1898(A)m
705(cross)s 1241(reference)s 2178(in)s 2415(common)s 3304(terminology)s
4521(is)s 4725(something)s 5769(lik)s 2(e)k 6176(`see)s
6610(T)s 19(able)k 7185(6')s 7411(or)s 7664(`see)s
8098(page)s 8600(57')s 8946(\211)s 0 1610(a)m 168(reference)s
1114(within)s 1785(a)s 1954(document)s 2961(to)s 3202(some)s
3766(other)s 4320(part)s 4754(of)s 5028(it.)s 5327(Readers)s
6150(\207nd)s 6584(them)s 7125(v)s 3(ery)k 7604(useful,)s
8298(b)s 4(ut)k 8663(the)s 3(y)k 0 1322(are)m
343(a)s 504(major)s 1116(problem)s 1969(for)s 2302(authors.)s
3165(As)s 3478(the)s 3821(document)s 4820(is)s 5025(re)s 6(vised,)k
5812(T)s 19(able)k 6388(6)s 6556(becomes)s 7440(T)s 19(able)k
8016(7,)s 8238(the)s 8581(thing)s 0 1034(on)m 297(page)s
805(57)s 1093(mo)s 3(v)k 3(es)k 1763(to)s
2002(page)s 2510(63,)s 2857(and)s 3261(all)s 3554(the)s
3902(cross)s 4444(references)s 5475(must)s 6000(be)s 6282(changed.)s
480 660(The)m 917(Scribe)s 1593(document)s 2606(formatter)s 9(,)k
3601(de)s 6(v)k 3(eloped)k 4644(by)s 4947(Brian)s
5545(K.)s 5831(Reid)s 6351([6)s 6543(],)s 6739(introduced)s
7829(a)s 8005(scheme)s 8788(for)s 0 372(k)m 2(eeping)k
804(track)s 1337(of)s 1603(cross)s 2140(references.)s 3279(It)s
3479(allo)s 6(ws)k 4143(you)s 4553(to)s 4787(gi)s 6(v)k 3(e)k
5241(names)s 5898(to)s 6132(tables,)s 6791(\207gures,)s 7544(etc.,)s
7984(and)s 8383(to)s 8617(refer)s 0 84(to)m 233(them)s
764(by)s 1051(name.)s 1726(The)s 2147(formatter)s 3087(inserts)s
3754(the)s 4095(appropriate)s 5233(numbers)s 6101(in)s 6337(place)s
6890(of)s 7154(the)s 7495(names,)s 8206(so)s 8465(that)s
8876(as)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 8 14
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(8)m 240 fnt83 6965 13843(Chapter)m 7815(1.)s
8089(Principles)s 240 fnt82 0 13205(the)m 342(document)s 1339(is)s
1543(re)s 6(vised,)k 2327(the)s 2669(cross)s 3204(references)s
4229(are)s 4569(k)s 2(ept)k 5033(up)s 5319(to)s
5552(date)s 5999(automatically)s 15(.)k 7442(Lout)s 7947(has)s
8310(adopted)s 0 12917(and)m 404(e)s 3(xtended)k 1323(this)s
1719(scheme.)s 480 12543(In)m 726(Lout,)s 1275(automatic)s 2260(cross)s
2792(referencing)s 3922(w)s 2(orks)k 4546(in)s 4779(the)s
5117(follo)s 6(wing)k 6084(w)s 2(ay)k 15(.)k
6620(First)s 7107(de\207ne)s 7738(a)s 7894(symbol)s 8644(with)s
0 12255(a)m 166(parameter)s 1180(with)s 1662(the)s 2010(special)s
2728(name)s 220 fnt35 3302 12252(@T)m 26(ag:)k 480 11754(def @T)m 26(ab)k 4(le)k
480 11466(   left @T)m 26(ag)k 480 11178(   r)m -3(ight @V)k 15(alue)k
480 10890({)m 480 10602(   ||1i  @V)m 15(alue)k 480 10314(})m 240 fnt82
0 9820(When)m 643(this)s 1054(symbol)s 1829(is)s 2054(in)s 9(v)k 4(ok)k 2(ed,)k
2933(the)s 3296(v)s 6(alue)k 3879(gi)s 6(v)k 3(en)k
4474(to)s 220 fnt35 4727 9817(@T)m 26(ag)k 240 fnt82
5365 9820(should)m 6077(be)s 6374(a)s 6555(simple)s 7263(w)s 2(ord)k
7826(lik)s 2(e)k 220 fnt35 8253 9817(cities)m 240 fnt82
8745 9820(,)m 8867(or)s 0 9532(se)m 6(v)k 3(eral)k
722(simple)s 1415(w)s 2(ords)k 2049(juxtaposed)s 3144(lik)s 2(e)k
220 fnt35 3556 9529(cities compare)m 240 fnt82 4962 9532(;)m 5074(it)s
5266(serv)s 3(es)k 5911(to)s 6150(name)s 6724(the)s
7072(in)s 9(v)k 4(ocation:)k 220 fnt35 480 9031({ cities compare } @T)m 26(ab)k 4(le)k
480 8743({)m 480 8455(    )m 8(W)k 8(ashington  |0.5i  Canberr)k 2(a)k
480 8167(})m 240 fnt82 0 7673(W)m 19(e)k 410(may)s
917(no)s 6(w)k 1419(refer)s 1969(to)s 2249(this)s
2686(in)s 9(v)k 4(ocation)k 3782(else)s 6(where)k
4828(in)s 5112(the)s 5501(document,)s 6593(using)s 7206(the)s
240 fnt83 7595 7675(cr)m 10(oss)k 8187(r)s 8(efer)k 8(ence)k
220 fnt35 0 7382(@T)m 26(ab)k 4(le&&{ cities compare }.)k 240 fnt82
2918 7385(Here)m 220 fnt35 3480 7382(&&)m 240 fnt82 3870 7385(is)m
4122(the)s 240 fnt83 4511 7387(cr)m 10(oss)k 5103(r)s 8(efer)k 8(ence)k
6084(symbol)s 240 fnt82 6762 7385(;)m 6916(its)s 7233(left)s
7652(parameter)s 8708(is)s 8960(a)s 0 7097(symbol)m 772(and)s
1189(its)s 1478(right)s 2002(parameter)s 3028(is)s 3251(the)s
3612(v)s 6(alue)k 4193(of)s 4476(the)s 220 fnt35
4837 7094(@T)m 26(ag)k 240 fnt82 5473 7097(parameter)m 6500(of)s
6783(some)s 7357(in)s 9(v)k 4(ocation)k 8424(of)s
8708(that)s 0 6809(symbol.)m 869(Of)s 1193(course)s 1873(it')s 13(s)k
2215(simplest)s 3071(if)s 3288(you)s 3703(use)s 4078(just)s
4483(a)s 4649(one-w)s 2(ord)k 5622(tag;)s 6026(then)s
6495(no)s 6788(braces)s 7449(are)s 7796(needed.)s 480 6435(A)m
695(cross)s 1222(reference)s 2150(is)s 2345(not)s 2696(an)s
2964(object;)s 3645(the)s 3978(reader)s 4619(should)s 5301(think)s
5839(of)s 6095(it)s 6272(as)s 6507(an)s 6775(arro)s 6(w)k
7365(in)s 7593(the)s 7926(\207nal)s 8391(printed)s 0 6147(document,)m
1049(be)s 3(ginning)k 2054(at)s 2284(the)s 2629(cross)s
3169(reference)s 4109(and)s 4511(ending)s 5213(at)s 5443(the)s
5788(top)s 6145(of)s 6413(the)s 6759(tar)s 4(get)k
7355(in)s 9(v)k 4(ocation.)k 8513(Three)s 0 5859(special)m
715(v)s 6(alues)k 1367(may)s 1830(be)s 2108(gi)s 6(v)k 3(en)k
2685(to)s 2920(the)s 3264(right)s 3772(parameter)s 4782(of)s
220 fnt35 5050 5856(&&)m 240 fnt82 5338 5859(:)m 220 fnt35
5500 5856(preceding)m 240 fnt82 6451 5859(,)m 220 fnt35 6555 5856(f)m 6(ollo)k 3(wing)k
240 fnt82 7385 5859(,)m 7488(and)s 220 fnt35 7888 5856(f)m 6(oll_or_prec)k
240 fnt82 9022 5859(.)m 0 5571(The)m 467(cross)s 1049(reference)s
220 fnt35 2032 5568(@T)m 26(ab)k 4(le&&preceding)k 240 fnt82
4116 5571(points)m 4792(to)s 5071(some)s 5671(table)s 6231(appearing)s
7267(earlier)s 7975(in)s 8258(the)s 8646(\207nal)s 0 5283(printed)m
760(document)s 1790(than)s 2285(itself;)s 2899(that)s 3343(is,)s
3635(the)s 4009(arro)s 6(w)k 4640(is)s 4876(guaranteed)s
6009(to)s 6274(point)s 6852(backw)s 2(ards)k 7950(through)s
8778(the)s 0 4995(document.)m 1108(Usually)s 1907(it)s 2100(points)s
2737(to)s 2977(the)s 3326(nearest)s 4063(preceding)s 5060(in)s 9(v)k 4(ocation.)k
6222(Similarly)s 15(,)k 220 fnt35 7203 4992(@T)m 26(ab)k 4(le&&f)k 6(ollo)k 3(wing)k
240 fnt82 0 4707(points)m 636(forw)s 2(ards,)k 1590(usually)s
2335(to)s 2574(the)s 2922(nearest)s 3657(follo)s 6(wing)k
4634(in)s 9(v)k 4(ocation.)k 220 fnt35 5795 4704(@T)m 26(ab)k 4(le&&f)k 6(oll_or_prec)k
240 fnt82 8022 4707(is)m 8232(the)s 8579(same)s 0 4419(as)m
220 fnt35 250 4416(@T)m 26(ab)k 4(le&&f)k 6(ollo)k 3(wing)k
240 fnt82 2173 4419(if)m 2390(it)s 2582(e)s 3(xists,)k
3230(otherwise)s 4215(it)s 4407(is)s 4617(the)s 4965(same)s
5512(as)s 220 fnt35 5762 4416(@T)m 26(ab)k 4(le&&preceding)k
240 fnt82 7746 4419(.)m 480 4045(This)m 962(section)s 1702(has)s
2079(been)s 2594(concerned)s 3641(with)s 4130(what)s 4661(a)s
4834(cross)s 5382(reference)s 6331(is)s 6548(\211)s 6734(an)s
7023(arro)s 6(w)k 7635(from)s 8165(one)s 8574(point)s
0 3757(in)m 242(a)s 407(document)s 1410(to)s 1648(another)s
2424(\211)s 2603(b)s 4(ut)k 2963(not)s 3328(with)s
3809(ho)s 6(w)k 4269(it)s 4460(is)s 4669(used.)s
5271(One)s 5724(simple)s 6416(w)s 2(ay)k 6866(to)s
7104(use)s 7478(a)s 7643(cross)s 8183(reference)s 0 3469(is)m
210(to)s 449(put)s 815(it)s 1007(where)s 1647(an)s
1930(object)s 2574(is)s 2784(e)s 3(xpected,)k 3738(lik)s 2(e)k
4150(this:)s 220 fnt35 480 2968(a  |  @T)m 26(ab)k 4(le&&cities  |  c)k
240 fnt82 0 2513(In)m 265(this)s 670(case)s 1146(the)s
1504(cross)s 2055(reference)s 3007(will)s 3443(be)s 3734(replaced)s
4610(by)s 4914(a)s 5089(cop)s 2(y)k 5616(of)s
5897(the)s 6254(in)s 9(v)k 4(ocation)k 7317(it)s
7519(points)s 8164(to:)s 8525(in)s 8778(the)s 0 2225(e)m 3(xample)k
866(just)s 1275(gi)s 6(v)k 3(en,)k 1909(a)s
2079(table)s 2603(will)s 3033(appear)s 3734(between)s 220 fnt35
4591 2222(a)m 240 fnt82 4772 2225(and)m 220 fnt35 5180 2222(c.)m
240 fnt82 5456 2225(Other)m 6064(applications)s 7274(of)s 7549(cross)s
8095(references)s 0 1937(may)m 466(be)s 747(found)s 1364(in)s
1606(Chapter)s 2423(4,)s 2649(including)s 3606(\207nding)s 4337(the)s
4685(number)s 5475(of)s 5746(the)s 6093(page)s 6601(where)s
7240(something)s 8289(appears,)s 0 1649(producing)m 1018(running)s 1809(page)s
2311(headers)s 3085(and)s 3483(footers,)s 4246(and)s 4643(accessing)s
5606(databases)s 6566(of)s 6831(Roman)s 7573(numerals,)s 8549(refer)s
8998(-)s 0 1361(ences,)m 638(etc.)s 1080(Cross)s 1676(references)s
2707(are)s 3054(also)s 3492(used)s 3989(by)s 4283(g)s 1(alle)k 3(ys,)k
5063(as)s 5313(will)s 5739(be)s 6021(e)s 3(xplained)k
7006(in)s 7249(the)s 7597(ne)s 3(xt)k 8066(section.)s
480 987(The)m 943(implementation)s 2535(of)s 2841(cross)s 3418(referencing)s
4593(copies)s 5290(e)s 6(v)k 3(ery)k 5901(symbol)s
6696(in)s 9(v)k 4(ocation)k 7785(with)s 8302(a)s
220 fnt35 8503 984(@T)m 26(ag)k 240 fnt82 0 699(parameter)m
1008(into)s 1427(the)s 240 fnt83 1768 701(cr)m 10(oss-r)k 8(efer)k 8(ence)k
3275(database)s 240 fnt82 4133 699(,)m 4233(a)s 4393(collection)s
5385(of)s 5650(\207les)s 6093(whose)s 6754(names)s 7410(end)s
7807(in)s 220 fnt35 8044 696(.ld)m 240 fnt82 8316 699(inde)m 3(x)k 3(ed)k
0 411(by)m 286(one)s 679(\207le)s 1032(whose)s 1691(name)s
2256(is)s 220 fnt35 2458 408(lout.li)m 240 fnt82 2954 411(.)m
3109(It)s 3306(is)s 3507(generally)s 4441(the)s 4781(case)s
5239(that)s 5649(the)s 5988(b)s 4(ulk)k 6462(content)s
7218(of)s 7480(a)s 7638(symbol)s 8389(such)s 8876(as)s
0 123(the)m 337(table)s 845(abo)s 3(v)k 3(e)k
1455(is)s 1653(contained)s 2629(in)s 2860(its)s 3124(right)s
3623(or)s 3870(body)s 4393(parameter)s 9(,)k 5433(and)s
5825(that)s 6231(this)s 6615(b)s 4(ulk)k 7086(content)s
7838(is)s 8036(not)s 8390(needed)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 9 15
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13845(1.3.)m 454(Cr)s 10(oss)k 1058(r)s 8(efer)k 8(ences)k
240 fnt84 8952 13842(9)m 240 fnt82 0 13207(by)m 297(cross)s
843(references)s 1878(to)s 2121(the)s 2472(symbol.)s 3345(Hence,)s
4067(to)s 4310(sa)s 4(v)k 3(e)k 4787(space)s
5378(in)s 5625(the)s 5977(database,)s 6910(Lout)s 7426(replaces)s
8263(the)s 8615(right)s 0 12919(parameter)m 1011(of)s 1279(each)s
1771(symbol)s 2527(it)s 2716(writes)s 3347(into)s 3768(it)s
3957(by)s 4248(the)s 4592(w)s 2(ord)k 5137(???)s
5505(whene)s 6(v)k 3(er)k 6482(the)s 6827(right)s
7335(parameter)s 8345(appears)s 0 12631(to)m 249(be)s 542(lar)s 4(ge.)k
1190(The)s 1629(table)s 2160(abo)s 3(v)k 3(e)k
2792(w)s 2(ould)k 3458(appear)s 4166(as)s 4427(???)s
4809(because)s 5632(of)s 5914(this)s 6321(optimization,)s 7647(and)s
8062(in)s 8316(general,)s 0 12343(the)m 367(user)s 845(must)s
1390(ensure)s 2089(that)s 2527(an)s 3(y)k 2944(content)s
3728(required)s 4601(by)s 4915(cross)s 5477(references)s 6527(is)s
6757(contained)s 7765(in)s 8028(parameters)s 0 12055(other)m 545(than)s
1007(the)s 1348(right)s 1852(or)s 2104(body)s 2631(parameter)s 13(.)k
3729(This)s 4199(optimization)s 5457(does)s 5940(not)s 6299(apply)s
6878(when)s 7447(the)s 7788(symbol)s 8541(being)s 0 11767(written)m
733(into)s 1158(the)s 1506(cross-reference)s 3019(database)s 3898(is)s
4108(a)s 4274(g)s 1(alle)k 3(y)k 15(.)k
240 fnt84 0 10974(1.4.)m 471(Galleys)s 240 fnt82 480 10497(It)m
695(is)s 915(time)s 1406(to)s 1655(pause)s 2267(and)s
2681(ask)s 3072(ourselv)s 3(es)k 4033(ho)s 6(w)k
4505(close)s 5062(we)s 5408(are)s 5765(to)s 6015(achie)s 6(ving)k
7002(our)s 7392(aim)s 7820(of)s 8102(producing)s 0 10209(neatly)m
638(formatted)s 1624(documents.)s 2825(W)s 19(e)k 3194(can)s
3583(certainly)s 4472(produce)s 5299(the)s 5647(pieces)s 6295(of)s
6566(a)s 6732(document:)s 160 fnt84 870 9532(PURCELL)m 128 fnt82
1626 9604(1)m 160 fnt82 480 9240(In)m 705(the)s 991(w)s 1(orld)k
1455(of)s 1691(music)s 480 9060(England)m 1192(is)s 1473(supposed)s
480 8880(to)m 686(be)s 921(a)s 1078(mere)s 1481(pro)s 2(vince.)k
480 8700(If)m 775(she)s 1166(produces)s 1918(an)s 480 8520(indif)m 4(ferent)k
1446(composer)s 480 8340(or)m 763(performer)s 6(,)k 1577(that)s
1967(is)s 480 8160(re)m 2(garded)k 1172(else)s 4(where)k
1940(as)s 480 7980(perfectly)m 1215(normal)s 1837(and)s 480 7800(natural;)m
1072(b)s 3(ut)k 1388(if)s 1608(foreign)s 480 7620(students)m
1215(of)s 1574(musical)s 480 7440(history)m 1286(ha)s 3(v)k 2(e)k
1947(to)s 480 7260(ackno)m 4(wledge)k 1440(a)s 1636(British)s
480 7080(musical)m 1105(genius,)s 1686(he)s 1967(is)s 480 6900(considered)m
1211(a)s 1322(freak.)s 800 6667(Such)m 1267(a)s 1488(freak)s
1967(is)s 480 6487(Henry)m 917(Purcell.)s 1480(Y)s 16(et)k
1736(if)s 1884(we)s 480 6307(mak)m 1(e)k 875(a)s
1000(choice)s 1467(of)s 1662(\207fteen)s 480 6127(of)m 717(the)s
1005(w)s 1(orld')k 8(s)k 1574(musical)s 480 5947(classics,)m
1050(as)s 1228(here,)s 1586(we)s 1820(\207nd)s 480 5767(that)m
774(we)s 1013(cannot)s 1495(omit)s 1843(this)s 480 5587(English)m
1005(master)s 8(.)k 128 fnt82 2634 9784(1)m 160 fnt82
2685 9712(Blom,)m 3107(Eric.)s 160 fnt83 3476 9713(Some)m 3852(Gr)s 5(eat)k
2634 9533(Composer)m 1(s.)k 160 fnt82 3728 9532(Oxford,)m 2634 9352(1944.)m
gsave
4788 7375 translate
220 fnt35 1927 2494 0 2494 220 288 61 LoutGraphic
gsave
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
160 fnt35 170 2207(@T)m 19(e)k 4(xtPlace)k 170 173(@F)m 4(ootSect)k

grestore
gsave
4788 4881 translate
220 fnt35 1927 2494 0 2494 220 288 61 LoutGraphic
gsave
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
160 fnt35 170 2207(@T)m 19(e)k 4(xtPlace)k 170 173(@F)m 4(ootSect)k

grestore
gsave
4788 2387 translate
220 fnt35 1927 2494 0 2494 220 288 61 LoutGraphic
gsave
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
160 fnt35 170 2207(@T)m 19(e)k 4(xtPlace)k 170 173(@F)m 4(ootSect)k

grestore
160 fnt35 4788 2157(@P)m 6(ageList)k 240 fnt82 0 1671(b)m 4(ut)k
362(when)s 938(we)s 1273(try)s 1592(to)s 1831(mer)s 4(ge)k
2480(them)s 3018(together)s 9(,)k 3899(we)s 4234(encounter)s
5237(tw)s 2(o)k 5647(obstacles.)s 480 1297(First,)m 1029(when)s
1610(an)s 1899(object)s 2548(is)s 2763(entered)s 3530(at)s
3767(a)s 3938(certain)s 4650(place)s 5215(in)s 5463(the)s
5817(document,)s 6873(it)s 7070(appears)s 7857(at)s 8094(that)s
8518(place.)s 0 1009(But)m 393(a)s 546(footnote)s 1385(is)s
1582(naturally)s 2472(entered)s 3219(immediately)s 4454(after)s 4936(the)s
5271(point)s 5810(it)s 5988(refers)s 6568(to)s 6794(\(`)s
200 fnt82 6934 1018(PURCELL)m 240 fnt82 7819 1009(')m 7917(in)s
8147(this)s 8529(case\),)s 0 721(yet)m 352(it)s 544(appears)s
1325(some)s 6(where)k 2464(else:)s 2941(at)s 3173(the)s
3521(bottom)s 4259(of)s 4530(a)s 4696(page.)s 480 347(Second,)m
1285(all)s 1570(our)s 1942(features)s 2740(b)s 4(uild)k
3278(up)s 3564(lar)s 4(ger)k 4168(objects)s 4889(out)s
5247(of)s 5510(smaller)s 6265(ones,)s 6803(b)s 4(ut)k
7158(the)s 200 fnt82 7498 356(PURCELL)m 240 fnt82 8435 347(object,)m
0 59(for)m 333(e)s 3(xample,)k 1242(must)s 1762(be)s
2039(brok)s 2(en)k 2753(do)s 6(wn)k 3332(into)s
3752(page-sized)s 4827(pieces.)s 5583(This)s 6053(occurs)s 6723(when)s
7294(the)s 7637(a)s 4(v)k 6(ailable)k 8539(space)s

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 10 16
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(10)m 240 fnt83 6965 13843(Chapter)m 7815(1.)s
8089(Principles)s 240 fnt82 0 13205(at)m 230(the)s 575(`some)s 6(where)k
1790(else')s 2270(is)s 2477(insuf\207cient)s 3610(to)s 3846(hold)s
4327(the)s 4672(entire)s 5268(object,)s 5957(so)s 6220(this)s
6613(second)s 7333(obstacle)s 8169(arises)s 8760(out)s 0 12917(of)m
271(the)s 619(\207rst.)s 480 12543(Lout')m 13(s)k 1135(last)s
1518(major)s 2127(feature,)s 2888(which)s 3523(we)s 3850(introduce)s
4801(to)s 5032(o)s 3(v)k 3(ercome)k 6017(these)s
6557(obstacles,)s 7532(is)s 7734(the)s 240 fnt83 8074 12545(galle)m 7(y)k
240 fnt82 8699 12543(\(the)m 0 12255(name)m 564(is)s 764(borro)s 6(wed)k
1723(from)s 2237(the)s 2575(g)s 1(alle)k 3(ys)k
3288(used)s 3775(in)s 4008(manual)s 4757(typesetting\).)s 6039(A)s
6259(g)s 1(alle)k 3(y)k 6882(is)s 7082(an)s
7355(object)s 7989(plus)s 8429(a)s 8584(cross)s 0 11967(reference)m
943(which)s 1585(points)s 2221(to)s 2460(where)s 3100(the)s
3448(object)s 4092(is)s 4302(to)s 4541(appear)s 13(.)k
5329(The)s 5757(e)s 3(xample)k 6620(abo)s 3(v)k 3(e)k
7242(has)s 7612(three)s 8145(g)s 1(alle)k 3(ys:)k
160 fnt84 870 11234(PURCELL)m 128 fnt82 1626 11306(1)m 160 fnt82
480 10942(In)m 705(the)s 991(w)s 1(orld)k 1455(of)s
1691(music)s 480 10762(England)m 1192(is)s 1473(supposed)s 480 10582(to)m
686(be)s 921(a)s 1078(mere)s 1481(pro)s 2(vince.)k
480 10402(If)m 775(she)s 1166(produces)s 1918(an)s 480 10222(indif)m 4(ferent)k
1446(composer)s 480 10042(or)m 763(performer)s 6(,)k 1577(that)s
1967(is)s 480 9862(re)m 2(garded)k 1172(else)s 4(where)k
1940(as)s 480 9682(perfectly)m 1215(normal)s 1837(and)s 480 9502(natural;)m
1072(b)s 3(ut)k 1388(if)s 1608(foreign)s 480 9322(students)m
1215(of)s 1574(musical)s 480 9142(history)m 1286(ha)s 3(v)k 2(e)k
1947(to)s 480 8962(ackno)m 4(wledge)k 1440(a)s 1636(British)s
480 8782(musical)m 1105(genius,)s 1686(he)s 1967(is)s 480 8602(considered)m
1211(a)s 1322(freak.)s 800 8369(Such)m 1267(a)s 1488(freak)s
1967(is)s 480 8189(Henry)m 917(Purcell.)s 1480(Y)s 16(et)k
1736(if)s 1884(we)s 480 8009(mak)m 1(e)k 875(a)s
1000(choice)s 1467(of)s 1662(\207fteen)s 480 7829(of)m 717(the)s
1005(w)s 1(orld')k 8(s)k 1574(musical)s 480 7649(classics,)m
1050(as)s 1228(here,)s 1586(we)s 1820(\207nd)s 480 7469(that)m
774(we)s 1013(cannot)s 1495(omit)s 1843(this)s 480 7289(English)m
1005(master)s 8(.)k gsave
3321 11312 translate
180.0000 rotate
gsave
0 0 translate
30.0000 rotate
gsave
0 0 translate
240 fnt82 68 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
0 0 translate
240 fnt82 1134 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 0 translate
-30.0000 rotate
gsave
0 0 translate
240 fnt82 68 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore

grestore
gsave
3201 9047 translate
220 fnt35 1927 2494 0 2494 220 288 61 LoutGraphic
gsave
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
160 fnt35 170 2207(@T)m 19(e)k 4(xtPlace)k
170 173(@F)m 4(ootSect)k 
grestore
gsave
3201 6553 translate
220 fnt35 1927 2494 0 2494 220 288 61 LoutGraphic
gsave
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
160 fnt35 170 2207(@T)m 19(e)k 4(xtPlace)k
170 173(@F)m 4(ootSect)k 
grestore
gsave
3201 4059 translate
220 fnt35 1927 2494 0 2494 220 288 61 LoutGraphic
gsave
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
160 fnt35 170 2207(@T)m 19(e)k 4(xtPlace)k
170 173(@F)m 4(ootSect)k 
grestore
160 fnt35 3201 3829(@P)m 6(ageList)k
gsave
6688 11541 translate
180.0000 rotate
gsave
0 0 translate
30.0000 rotate
gsave
0 0 translate
240 fnt82 68 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
0 0 translate
240 fnt82 1440 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 0 translate
-30.0000 rotate
gsave
0 0 translate
240 fnt82 68 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore

grestore
200 fnt83 6748 11497(to)m 6947(printer)s gsave
4335 9295 translate
30.0000 rotate
gsave
0 0 translate
240 fnt82 68 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
4335 9295 translate
240 fnt82 963 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
4335 9295 translate
-30.0000 rotate
gsave
0 0 translate
240 fnt82 68 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
128 fnt82 5418 9331(1)m
160 fnt82 5469 9259(Blom,)m 5891(Eric.)s 160 fnt83 6260 9260(Some)m
6636(Gr)s 5(eat)k 5418 9080(Composer)m 1(s.)k 160 fnt82
6512 9079(Oxford,)m 5418 8899(1944.)m 240 fnt82 0 3343(A)m 229(g)s 1(alle)k 3(y)k
861(replaces)s 1693(the)s 2039(in)s 9(v)k 4(ocation)k
3091(pointed)s 3866(to)s 4103(by)s 4395(its)s 4670(cross)s
5210(reference.)s 6260(If)s 6488(space)s 7073(is)s 7282(not)s
7646(suf\207cient)s 8593(there)s 0 3055(to)m 232(hold)s 708(it)s
892(all,)s 1230(the)s 1570(remainder)s 2590(of)s 2854(the)s
3194(g)s 1(alle)k 3(y)k 3820(is)s 4023(split)s
4486(of)s 6(f)k 4822(\(the)s 5242(v)s 3(ertical)k
6001(concatenation)s 7378(symbol)s 8130(preceding)s 0 2767(it)m 199(being)s
791(discarded\))s 1842(and)s 2253(it)s 2452(replaces)s 3293(later)s
3783(in)s 9(v)k 4(ocations)k 4931(of)s 5209(the)s
5564(same)s 6119(symbol.)s 6935(This)s 7418(is)s 7635(e)s 3(xactly)k
8383(what)s 8916(is)s 0 2479(required)m 854(to)s 1093(get)s
1445(te)s 3(xt)k 1860(and)s 2264(footnotes)s 3205(onto)s
3684(pages.)s 480 2105(T)m 19(o)k 780(create)s 1405(a)s
1571(g)s 1(alle)k 3(y)k 15(,)k 2243(\207rst)s
2674(de\207ne)s 3315(a)s 3481(symbol)s 4241(with)s 4723(a)s
4889(special)s 220 fnt35 5607 2102(into)m 240 fnt82 6013 2105(clause,)m
6717(lik)s 2(e)k 7129(this:)s 220 fnt35 480 1604(def @F)m 6(ootNote into { @F)k 6(ootPlace&&f)k 6(ollo)k 3(wing })k
480 1316(   r)m -3(ight x)k 480 1028({)m 480 740(   8p @F)m 6(ont x)k
480 452(})m 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 11 17
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(1.4.)m 454(Galle)s 7(ys)k 240 fnt84
8839 13840(11)m 240 fnt82 0 13205(An)m 343(in)s 9(v)k 4(ocation)k
1390(of)s 1654(such)s 2142(a)s 2301(symbol)s 3054(will)s
3473(then)s 3934(be)s 4209(a)s 4368(g)s 1(alle)k 3(y)k
4994(whose)s 5655(object)s 6292(is)s 6495(the)s 6835(result)s
7418(of)s 7682(the)s 8022(in)s 9(v)k 4(ocation,)k
0 12917(and)m 399(whose)s 1062(cross)s 1598(reference)s 2536(is)s
2740(gi)s 6(v)k 3(en)k 3315(by)s 3603(the)s
220 fnt35 3946 12914(into)m 240 fnt82 4347 12917(clause.)m 5102(The)s
5525(right)s 6030(parameter)s 7039(of)s 7304(the)s 7647(cross)s
8183(reference)s 0 12629(must)m 525(be)s 807(one)s 1209(of)s
220 fnt35 1480 12626(preceding)m 240 fnt82 2431 12629(,)m 220 fnt35
2538 12626(f)m 6(ollo)k 3(wing)k 240 fnt82 3368 12629(,)m
3475(and)s 220 fnt35 3879 12626(f)m 6(oll_or_prec)k 240 fnt82
5013 12629(.)m 480 12255(A)m 700(symbol,)s 1502(lik)s 2(e)k
220 fnt35 1903 12252(@F)m 6(ootPlace)k 3(,)k 240 fnt82
3196 12255(which)m 3827(is)s 4027(the)s 240 fnt83 4364 12257(tar)m 8(g)k 2(et)k
240 fnt82 4979 12255(of)m 5239(a)s 5395(g)s 1(alle)k 3(y)k 15(,)k
6056(must)s 6571(contain)s 7321(the)s 7659(special)s 8366(symbol)s
220 fnt35 0 11964(@Galle)m 4(y)k 240 fnt82 898 11967(e)m 3(xactly)k
1639(once)s 2147(in)s 2390(its)s 2666(body;)s 3258(often)s
3806(this)s 4202(is)s 4412(all)s 4705(that)s 5123(the)s
5471(body)s 6005(contains:)s 220 fnt35 480 11466(def  @F)m 6(ootPlace  {  @Galle)k 4(y  })k
240 fnt82 0 10968(It)m 229(is)s 464(this)s 885(special)s
1628(symbol)s 2412(that)s 2855(is)s 3090(replaced)s 3982(by)s
4300(the)s 4673(incoming)s 5655(g)s 1(alle)k 3(y)k 15(,)k
6352(in)s 6619(f)s 2(act,)k 7106(not)s 7497(the)s
220 fnt35 7870 10965(@F)m 6(ootPlace)k 240 fnt82 0 10680(symbol)m
760(as)s 1010(a)s 1176(whole.)s 480 10306(A)m 718(symbol)s
1487(which)s 2138(contains)s 220 fnt35 2994 10303(@Galle)m 4(y)k
240 fnt82 3832 10306(,)m 3948(either)s 4560(directly)s 5351(within)s
6028(its)s 6313(body)s 6855(or)s 7123(indirectly)s 8101(within)s
8778(the)s 0 10018(body)m 533(of)s 802(a)s 966(symbol)s
1725(it)s 1915(in)s 9(v)k 4(ok)k 2(es,)k
2750(is)s 2959(called)s 3585(a)s 240 fnt83 3749 10020(r)m 8(eceptive)k
240 fnt82 4668 10018(symbol,)m 5478(meaning)s 6353(recepti)s 6(v)k 3(e)k
7274(to)s 7511(g)s 1(alle)k 3(ys.)k 220 fnt35
8346 10015(@F)m 6(oot)k 240 fnt82 8998 10018(-)m 220 fnt35
0 9727(Place)m 240 fnt82 630 9730(is)m 870(recepti)s 6(v)k 3(e,)k
1873(which)s 2545(mak)s 2(es)k 220 fnt35 3235 9727(@F)m 6(ootList,)k
4364(@F)s 6(ootSect)k 240 fnt82 5545 9730(and)m 220 fnt35
5979 9727(@P)m 8(ageList)k 240 fnt82 7133 9730(recepti)m 6(v)k 3(e)k
8085(since)s 8663(the)s 3(y)k 0 9442(in)m 9(v)k 4(ok)k 2(e)k
220 fnt35 704 9439(@F)m 6(ootPlace)k 3(.)k 240 fnt82
2078 9442(If)m 2319(no)s 2623(g)s 1(alle)k 3(y)k
3268(replaces)s 4112(an)s 3(y)k 220 fnt35 4520 9439(@Galle)m 4(y)k
240 fnt82 5429 9442(within)m 6108(some)s 6680(in)s 9(v)k 4(ocation)k
7745(of)s 8027(a)s 8204(recepti)s 6(v)k 3(e)k
0 9154(symbol,)m 816(that)s 1239(in)s 9(v)k 4(ocation)k
2297(is)s 2512(replaced)s 3383(by)s 220 fnt35 3682 9151(@Null)m
240 fnt82 4267 9154(.)m 4435(The)s 4868(adv)s 6(antages)k
5980(of)s 6256(this)s 6656(rule)s 7088(for)s 7430(page)s
7943(layout)s 8606(were)s 0 8866(e)m 3(xplained)k 985(at)s
1217(the)s 1565(end)s 1969(of)s 2240(Section)s 3014(1.2.)s
480 8492(Let)m 852(us)s 1109(no)s 6(w)k 1563(follo)s 6(w)k
2228(through)s 3023(the)s 3364(construction)s 4596(of)s 4861(our)s
5233(e)s 3(xample)k 6089(document.)s 7190(Initially)s 7992(there)s
8518(is)s 8721(just)s 0 8204(the)m 348(one)s 240 fnt83
750 8206(r)m 10(oot)k 240 fnt82 1203 8204(g)m 1(alle)k 3(y)k 15(,)k
1875(containing)s 2938(an)s 3221(une)s 3(xpanded)k 4434(in)s 9(v)k 4(ocation)k
5488(of)s 220 fnt35 5759 8201(@P)m 8(ageList:)k 180 fnt35
3315 7732(@P)m 7(ageList)k gsave
5746 7778 translate
180.0000 rotate
gsave
0 0 translate
30.0000 rotate
gsave
0 0 translate
240 fnt82 68 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
0 0 translate
240 fnt82 1440 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 0 translate
-30.0000 rotate
gsave
0 0 translate
240 fnt82 68 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore

grestore
200 fnt83 5806 7734(to)m 6005(printer)s
240 fnt82 0 7241(Then)m 602(the)s 200 fnt82 1004 7250(PURCELL)m
240 fnt82 2002 7241(g)m 1(alle)k 3(y)k 2690(appears,)s
3580(tar)s 4(geted)k 4457(to)s 4750(a)s 220 fnt35
4969 7238(@T)m 26(e)k 6(xtPlace)k 3(.)k 240 fnt82
6348 7241(Lout)m 6913(kno)s 6(ws)k 7638(that)s 8109(there)s
8696(is)s 8960(a)s 220 fnt35 0 6950(@T)m 26(e)k 6(xtPlace)k
240 fnt82 1218 6953(hidden)m 1927(inside)s 220 fnt35 2554 6950(@P)m 8(ageList,)k
240 fnt82 3724 6953(so)m 3990(it)s 4182(e)s 3(xpands)k
220 fnt35 5015 6950(@P)m 8(ageList:)k 160 fnt84 870 6220(PURCELL)m
128 fnt82 1626 6292(1)m 160 fnt82 480 5928(In)m 705(the)s
991(w)s 1(orld)k 1455(of)s 1691(music)s 480 5748(England)m
1192(is)s 1473(supposed)s 480 5568(to)m 686(be)s 921(a)s
1078(mere)s 1481(pro)s 2(vince.)k 480 5388(If)m 775(she)s
1166(produces)s 1918(an)s 480 5208(indif)m 4(ferent)k 1446(composer)s
480 5028(or)m 763(performer)s 6(,)k 1577(that)s 1967(is)s
480 4848(re)m 2(garded)k 1172(else)s 4(where)k 1940(as)s
480 4668(perfectly)m 1215(normal)s 1837(and)s 480 4488(natural;)m 1072(b)s 3(ut)k
1388(if)s 1608(foreign)s 480 4308(students)m 1215(of)s 1574(musical)s
480 4128(history)m 1286(ha)s 3(v)k 2(e)k 1947(to)s
480 3948(ackno)m 4(wledge)k 1440(a)s 1636(British)s 480 3768(musical)m
1105(genius,)s 1686(he)s 1967(is)s 480 3588(considered)m 1211(a)s
1322(freak.)s 800 3355(Such)m 1267(a)s 1488(freak)s 1967(is)s
480 3175(Henry)m 917(Purcell.)s 1480(Y)s 16(et)k 1736(if)s
1884(we)s 480 2995(mak)m 1(e)k 875(a)s 1000(choice)s
1467(of)s 1662(\207fteen)s 480 2815(of)m 717(the)s 1005(w)s 1(orld')k 8(s)k
1574(musical)s 480 2635(classics,)m 1050(as)s 1228(here,)s 1586(we)s
1820(\207nd)s 480 2455(that)m 774(we)s 1013(cannot)s 1495(omit)s
1843(this)s 480 2275(English)m 1005(master)s 8(.)k gsave
3434 6298 translate
180.0000 rotate
gsave
0 0 translate
30.0000 rotate
gsave
0 0 translate
240 fnt82 68 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
0 0 translate
240 fnt82 1247 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 0 translate
-30.0000 rotate
gsave
0 0 translate
240 fnt82 68 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore

grestore
gsave
3315 4033 translate
220 fnt35 1927 2494 0 2494 220 288 61 LoutGraphic
gsave
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
160 fnt35
170 2207(@T)m 19(e)k 4(xtPlace)k 170 173(@F)m 4(ootSect)k

grestore
160 fnt35 3315 3803(@P)m 6(ageList)k gsave
6802 6527 translate
180.0000 rotate
gsave
0 0 translate
30.0000 rotate
gsave
0 0 translate
240 fnt82 68 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
0 0 translate
240 fnt82 1440 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 0 translate
-30.0000 rotate
gsave
0 0 translate
240 fnt82 68 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore

grestore
200 fnt83 6862 6483(to)m
7061(printer)s 240 fnt82 0 1790(After)m 586(promoting)s 1659(the)s
2030(\207rst)s 2484(line)s 2922(into)s 220 fnt35 3370 1787(@T)m 26(e)k 6(xtPlace)k 3(,)k
240 fnt82 4658 1790(the)m 5029(footnote)s 5905(g)s 1(alle)k 3(y)k
6563(attached)s 7440(to)s 7702(it)s 7917(appears)s 8722(and)s
0 1502(demands)m 938(an)s 1257(in)s 9(v)k 4(ocation)k
2347(of)s 220 fnt35 2654 1499(@F)m 6(ootPlace)k 240 fnt82
3946 1502(follo)m 6(wing)k 4960(its)s 5272(attachment)s 6416(point)s
7004(\(`)s 200 fnt82 7144 1511(PURCELL)m 240 fnt82 8029 1502('\).)m
8387(Such)s 8960(a)s 220 fnt35 0 1211(@F)m 6(ootPlace)k
240 fnt82 1274 1214(is)m 1502(found)s 2138(at)s 2388(the)s
2754(bottom)s 3511(of)s 3800(the)s 4166(\207rst)s 4616(page,)s
5193(inside)s 220 fnt35 5838 1211(@F)m 6(ootSect,)k 240 fnt82
7054 1214(which)m 7714(is)s 7943(accordingly)s 0 926(e)m 3(xpanded,)k
1022(and)s 1426(the)s 1774(footnote)s 2627(is)s 2837(promoted)s
3812(onto)s 4291(the)s 4639(page:)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 12 18
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(12)m 240 fnt83 6965 13843(Chapter)m 7815(1.)s
8089(Principles)s 160 fnt82 480 12579(In)m 705(the)s 991(w)s 1(orld)k
1455(of)s 1691(music)s 480 12399(England)m 1192(is)s 1473(supposed)s
480 12219(to)m 686(be)s 921(a)s 1078(mere)s 1481(pro)s 2(vince.)k
480 12039(If)m 775(she)s 1166(produces)s 1918(an)s 480 11859(indif)m 4(ferent)k
1446(composer)s 480 11679(or)m 763(performer)s 6(,)k 1577(that)s
1967(is)s 480 11499(re)m 2(garded)k 1172(else)s 4(where)k
1940(as)s 480 11319(perfectly)m 1215(normal)s 1837(and)s 480 11139(natural;)m
1072(b)s 3(ut)k 1388(if)s 1608(foreign)s 480 10959(students)m
1215(of)s 1574(musical)s 480 10779(history)m 1286(ha)s 3(v)k 2(e)k
1947(to)s 480 10599(ackno)m 4(wledge)k 1440(a)s 1636(British)s
480 10419(musical)m 1105(genius,)s 1686(he)s 1967(is)s 480 10239(considered)m
1211(a)s 1322(freak.)s 800 10006(Such)m 1267(a)s 1488(freak)s
1967(is)s 480 9826(Henry)m 917(Purcell.)s 1480(Y)s 16(et)k
1736(if)s 1884(we)s 480 9646(mak)m 1(e)k 875(a)s
1000(choice)s 1467(of)s 1662(\207fteen)s 480 9466(of)m 717(the)s
1005(w)s 1(orld')k 8(s)k 1574(musical)s 480 9286(classics,)m
1050(as)s 1228(here,)s 1586(we)s 1820(\207nd)s 480 9106(that)m
774(we)s 1013(cannot)s 1495(omit)s 1843(this)s 480 8926(English)m
1005(master)s 8(.)k gsave
3434 12615 translate
180.0000 rotate
gsave
0 0 translate
30.0000 rotate
gsave
0 0 translate
240 fnt82 68 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
0 0 translate
240 fnt82 1247 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 0 translate
-30.0000 rotate
gsave
0 0 translate
240 fnt82 68 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore

grestore
gsave
3315 10788 translate
240 fnt82 1927 2494 0 2494 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
160 fnt84 560 1987(PURCELL)m 128 fnt82
1316 2059(1)m 140 fnt35 170 1807(@T)m 16(e)k 4(xtPlace)k
gsave
170 924 translate
160 fnt82 567 0 0 0 160 180 40 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
128 fnt82 170 785(1)m 160 fnt82 221 713(Blom,)m 703(Eric.)s
160 fnt83 1133 714(Some)m 170 534(Gr)m 5(eat)k 734(Composer)s 1(s.)k
160 fnt82 170 353(Oxford,)m 703(1944.)s 140 fnt35 170 173(@F)m 4(ootList)k

grestore
140 fnt35 3315 10573(@P)m 5(ageList)k gsave
6802 13282 translate
180.0000 rotate
gsave
0 0 translate
30.0000 rotate
gsave
0 0 translate
240 fnt82 68 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
0 0 translate
240 fnt82 1440 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 0 translate
-30.0000 rotate
gsave
0 0 translate
240 fnt82 68 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore

grestore
200 fnt83 6862 13238(to)m
7061(printer)s 240 fnt82 0 8441(No)m 6(w)k 512(the)s
858(promotion)s 1910(of)s 2179(the)s 200 fnt82 2525 8450(PURCELL)m
240 fnt82 3468 8441(g)m 1(alle)k 3(y)k 4100(resumes.)s
5045(When)s 5672(the)s 6018(\207rst)s 6447(page)s 6953(is)s
7161(\207lled,)s 7757(Lout)s 8266(searches)s 0 8153(forw)m 2(ards)k
898(for)s 1236(another)s 220 fnt35 2013 8150(@T)m 26(e)k 6(xtPlace)k
240 fnt82 3231 8153(to)m 3470(recei)s 6(v)k 3(e)k
4206(the)s 4554(remainder)s 9(,)k 5620(once)s 6128(ag)s 1(ain)k
6702(e)s 3(xpanding)k 7750(a)s 220 fnt35 7916 8150(@P)m 8(ageList:)k
160 fnt82 480 4955(performer)m 6(,)k 1436(that)s 1967(is)s
480 4775(re)m 2(garded)k 1172(else)s 4(where)k 1940(as)s
480 4595(perfectly)m 1215(normal)s 1837(and)s 480 4415(natural;)m 1072(b)s 3(ut)k
1388(if)s 1608(foreign)s 480 4235(students)m 1215(of)s 1574(musical)s
480 4055(history)m 1286(ha)s 3(v)k 2(e)k 1947(to)s
480 3875(ackno)m 4(wledge)k 1440(a)s 1636(British)s 480 3695(musical)m
1105(genius,)s 1686(he)s 1967(is)s 480 3515(considered)m 1211(a)s
1322(freak.)s 800 3282(Such)m 1267(a)s 1488(freak)s 1967(is)s
480 3102(Henry)m 917(Purcell.)s 1480(Y)s 16(et)k 1736(if)s
1884(we)s 480 2922(mak)m 1(e)k 875(a)s 1000(choice)s
1467(of)s 1662(\207fteen)s 480 2742(of)m 717(the)s 1005(w)s 1(orld')k 8(s)k
1574(musical)s 480 2562(classics,)m 1050(as)s 1228(here,)s 1586(we)s
1820(\207nd)s 480 2382(that)m 774(we)s 1013(cannot)s 1495(omit)s
1843(this)s 480 2202(English)m 1005(master)s 8(.)k gsave
3434 4991 translate
180.0000 rotate
gsave
0 0 translate
30.0000 rotate
gsave
0 0 translate
240 fnt82 68 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
0 0 translate
240 fnt82 1247 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 0 translate
-30.0000 rotate
gsave
0 0 translate
240 fnt82 68 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore

grestore
gsave
3315 5233 translate
240 fnt82 1927 2494 0 2494 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
160 fnt84
560 1987(PURCELL)m 128 fnt82 1316 2059(1)m 160 fnt82 170 1695(In)m
341(the)s 573(w)s 1(orld)k 983(of)s 1164(music)s
170 1515(England)m 741(is)s 881(supposed)s 1515(to)s 170 1335(be)m
358(a)s 469(mere)s 825(pro)s 2(vince.)k 1491(If)s
170 1155(she)m 708(produces)s 1608(an)s 170 975(indif)m 4(ferent)k
879(composer)s 1540(or)s 567 0 0 0 160 180 40 170 763 LoutGr2
0 0 moveto xsize 0 lineto stroke
grestore

grestore
128 fnt82 170 624(1)m 160 fnt82
221 552(Blom,)m 703(Eric.)s 160 fnt83 1133 553(Some)m 170 373(Gr)m 5(eat)k
734(Composer)s 1(s.)k 160 fnt82 170 192(Oxford,)m 703(1944.)s

grestore
gsave
3315 2739 translate
240 fnt82 1927 2494 0 2494 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto xsize ysize lineto
0 ysize lineto closepath stroke
grestore
140 fnt35 170 2222(@T)m 16(e)k 4(xtPlace)k 170 173(@F)m 4(ootSect)k

grestore
140 fnt35 3315 2524(@P)m 5(ageList)k gsave
6802 7727 translate
180.0000 rotate
gsave
0 0 translate
30.0000 rotate
gsave
0 0 translate
240 fnt82 68 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
0 0 translate
240 fnt82 1440 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 0 translate
-30.0000 rotate
gsave
0 0 translate
240 fnt82 68 0 0 0 240 288 60 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore

grestore
200 fnt83 6862 7683(to)m
7061(printer)s 240 fnt82 0 1717(and)m 404(so)s 671(on.)s
1076(All)s 1437(these)s 1985(e)s 3(xpansions)k 3098(and)s
3503(replacements)s 4814(are)s 5162(done)s 5685(with)s 6168(total)s
6648(inte)s 3(grity)k 15(.)k 7604(F)s 3(or)k
7994(e)s 3(xample,)k 8909(if)s 0 1429(Lout)m 510(\207nds)s
1024(after)s 1517(e)s 3(xpanding)k 220 fnt35 2563 1426(@F)m 6(ootSect)k
240 fnt82 3711 1429(that)m 4126(the)s 4472(page)s 4977(is)s
5184(too)s 5541(full)s 5924(to)s 6160(accept)s 6828(e)s 6(v)k 3(en)k
7325(the)s 7670(\207rst)s 8099(line)s 8510(of)s 8778(the)s
0 1141(footnote,)m 220 fnt35 915 1138(@F)m 6(ootSect)k 240 fnt82
2077 1141(is)m 2298(reset)s 2819(to)s 3070(une)s 3(xpanded)k
4294(and)s 4709(the)s 5068(search)s 5746(for)s 6096(a)s
6273(tar)s 4(get)k 6883(for)s 7232(the)s 7591(footnote)s
8456(mo)s 3(v)k 3(es)k 0 853(on.)m 396(And)s
858(the)s 1197(cross)s 1730(reference)s 2664(direction,)s 220 fnt35
3611 850(preceding)m 240 fnt82 4613 853(or)m 220 fnt35 4864 850(f)m 6(ollo)k 3(wing,)k
240 fnt82 5799 853(is)m 6000(al)s 2(w)k 2(ays)k
6702(obe)s 3(yed)k 7440(\(although)s 8405(lack)s 8855(of)s
0 565(space)m 586(sometimes)s 1658(pre)s 6(v)k 3(ents)k
2509(Lout)s 3020(from)s 3543(choosing)s 4460(the)s 4807(nearest)s
5542(tar)s 4(get\).)k 6323(Only)s 6855(the)s 7202(root)s
7646(g)s 1(alle)k 3(y)k 8278(contains)s 0 277(recepti)m 6(v)k 3(e)k
922(symbols)s 1771(in)s 2014(our)s 2393(running)s 3191(e)s 3(xample,)k
4105(b)s 4(ut)k 4467(an)s 3(y)k 4864(g)s 1(alle)k 3(y)k
5498(may)s 5964(contain)s 6725(them.)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 13 19
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
480 fnt84 0 12955(Chapter)m 1819(2.)s 2400(Details)s 240 fnt84
0 11690(2.1.)m 471(Lexical)s 1270(structur)s 4(e)k 2263(\(w)s 2(ords,)k
3079(spaces,)s 3844(symbols\))s 4796(and)s 5237(macr)s 4(os)k
240 fnt82 480 11213(The)m 902(input)s 1447(to)s 1679(Lout)s
2184(consists)s 2985(of)s 3249(a)s 3408(sequence)s 4334(of)s
240 fnt83 4598 11215(te)m 4(xtual)k 5297(units)s 240 fnt82
5757 11213(,)m 5857(which)s 6492(may)s 6951(be)s 7226(either)s
240 fnt83 7822 11215(white)m 8386(spaces)s 240 fnt82 9019 11213(,)m
240 fnt83 0 10927(identi\207er)m 2(s,)k 1047(delimiter)s 2(s,)k
240 fnt82 2093 10925(or)m 240 fnt83 2352 10927(liter)m 3(al)k
2992(wor)s 8(ds)k 240 fnt82 3565 10925(.)m 3729(Each)s
4264(is)s 4474(a)s 4640(sequence)s 5573(of)s 240 fnt83
5844 10927(c)m 3(har)k 3(acter)k 2(s)k 240 fnt82
6914 10925(chosen)m 7636(from:)s 480 10387(letter)m 220 fnt35 1934 10384(@ab-zAB-Z_)m
240 fnt82 480 10099(white)m 1067(space)s 240 fnt83 1934 10101(space)m
2592(formfeed)s 3568(tab)s 3988(ne)s 3(wline)k 240 fnt82
480 9811(quote)m 220 fnt35 1934 9808(")m 240 fnt82 480 9523(escape)m
220 fnt35 1934 9520(\\)m 240 fnt82 480 9235(comment)m 220 fnt35
1934 9232(#)m 240 fnt82 480 8947(other)m 220 fnt35 1934 8944(!$%&'\(\)*+,-./0123456789:;<=>?[]^`{|}~)m
240 fnt82 0 8406(Notice)m 732(that)s 220 fnt35 1189 8403(@)m
240 fnt82 1480 8406(and)m 220 fnt35 1923 8403(_)m 240 fnt82
2144 8406(are)m 2531(classed)s 3318(as)s 3608(letters.)s 4393(Basser)s
5129(Lout)s 5681(accepts)s 6474(the)s 6861(accented)s 7795(letters)s
8467(of)s 8778(the)s 0 8118(ISO-LA)m 26(TIN-1)k 1421(character)s
2388(set)s 2746(\(depending)s 3909(on)s 4238(ho)s 6(w)k
4732(it)s 4957(is)s 5200(installed\),)s 6228(and)s 6664(these)s
7244(are)s 7624(also)s 8095(classed)s 8876(as)s 0 7830(letters.)m
756(The)s 1195(ten)s 1555(digits)s 2148(are)s 2505(classed)s
3264(as)s 3525(`other')s 4218(characters,)s 5302(and)s 5717(in)s
5971(f)s 2(act)k 6397(the)s 6755(`other')s 7448(class)s
7974(contains)s 8833(all)s 0 7542(8-bit)m 511(characters)s 1529(\(e)s 3(xcept)k
2289(octal)s 2808(0\))s 3056(not)s 3422(assigned)s 4304(to)s
4543(pre)s 6(vious)k 5412(classes.)s 480 7168(A)m 240 fnt83
698 7170(white)m 1256(space)s 240 fnt82 1841 7168(is)m 2038(a)s
2191(sequence)s 3111(of)s 3369(one)s 3758(or)s 4005(more)s
4539(white)s 5113(space)s 5687(characters.)s 6805(Lout)s 7304(treats)s
7858(the)s 8193(formfeed)s 0 6880(character)m 931(e)s 3(xactly)k
1668(lik)s 2(e)k 2076(the)s 2420(space)s 3003(character;)s
3985(it)s 4173(is)s 4379(useful)s 5014(for)s 5348(getting)s
6061(page)s 6565(breaks)s 7236(when)s 7808(printing)s 8614(Lout)s
0 6592(source)m 680(code.)s 480 6218(A)m 240 fnt83 709 6220(delimiter)m
240 fnt82 1635 6218(is)m 1844(a)s 2009(sequence)s 2941(of)s
3211(one)s 3612(or)s 3870(more)s 4415(`other')s 5096(characters)s
6113(which)s 6754(is)s 6963(the)s 7310(name)s 7883(of)s
8153(a)s 8317(symbol.)s 0 5930(F)m 3(or)k 417(e)s 3(xample,)k
220 fnt35 1360 5927({)m 240 fnt82 1512 5930(and)m 220 fnt35
1945 5927(//)m 240 fnt82 2159 5930(are)m 2534(delimiters.)s 3681(When)s
4338(de\207ning)s 5205(a)s 5400(delimiter)s 9(,)k 6387(the)s
6764(name)s 7366(must)s 7920(be)s 8231(enclosed)s 0 5642(in)m
243(quotes:)s 220 fnt35 480 5143(def  "^"  { {}  ^&  {} })m 240 fnt82 0 4649(b)m 4(ut)k
361(quotes)s 1036(are)s 1381(not)s 1746(used)s 2242(when)s
2816(the)s 3163(delimiter)s 4082(is)s 4291(in)s 9(v)k 4(ok)k 2(ed.)k
5211(A)s 5439(delimiter)s 6359(may)s 6824(ha)s 4(v)k 3(e)k
7323(delimiters)s 8327(and)s 8729(an)s 3(y)k 0 4361(other)m
558(characters)s 1584(adjacent,)s 2495(whereas)s 3337(identi\207ers)s 4351(may)s
4825(not)s 5199(be)s 5489(adjacent)s 6353(to)s 6600(letters)s
7241(or)s 7508(other)s 8067(identi\207ers.)s 0 4073(The)m 428(complete)s
1360(list)s 1711(of)s 1982(prede\207ned)s 3050(delimiters)s 4055(is)s
220 fnt35 480 3572(/)m 480 3284(//)m 480 2996(^/)m 480 2708(^//)m
1727 3572(|)m 1727 3284(||)m 1727 2996(^|)m 1727 2708(^||)m 2974 3572(&)m
2974 3284(^&)m 4221 3572(&&)m 4221 3284({)m 4221 2996(})m 240 fnt82
0 2253(A)m 230(longer)s 901(delimiter)s 1822(lik)s 2(e)k
220 fnt35 2234 2250(<=)m 240 fnt82 2542 2253(will)m 2968(be)s
3250(recognised)s 4344(in)s 4587(preference)s 5650(to)s 5889(a)s
6055(shorter)s 6778(one)s 7180(lik)s 2(e)k 220 fnt35
7592 2250(<)m 240 fnt82 7710 2253(.)m 480 1879(An)m 240 fnt83
855 1881(identi\207er)m 240 fnt82 1808 1879(is)m 2043(a)s 2234(sequence)s
3192(of)s 3488(one)s 3915(or)s 4199(more)s 4772(letters)s
5430(which)s 6097(is)s 6332(the)s 6705(name)s 7304(of)s
7600(a)s 7791(symbol.)s 8685(It)s 8916(is)s 0 1591(con)m 9(v)k 3(entional)k
1308(b)s 4(ut)k 1700(not)s 2096(essential)s 3003(to)s
3272(be)s 3(gin)k 3888(identi\207ers)s 4924(with)s 220 fnt35
5436 1588(@)m 240 fnt82 5627 1591(;)m 5829(Basser)s 6556(Lout)s
7098(will)s 7554(print)s 8095(a)s 8291(w)s 2(arning)k
0 1303(message)m 865(if)s 1081(it)s 1272(\207nds)s 1788(an)s
2070(unquoted)s 3019(literal)s 3628(w)s 2(ord)k 4175(\(see)s
4614(belo)s 6(w\))k 5320(be)s 3(ginning)k 6327(with)s
220 fnt35 6808 1300(@)m 240 fnt82 6999 1303(,)m 7105(since)s
7651(such)s 8146(w)s 2(ords)k 8779(are)s 0 1015(usually)m
748(misspelt)s 1608(identi\207ers.)s 2730(The)s 3162(ten)s 3515(digits)s
4100(are)s 4451(not)s 4820(letters)s 5457(and)s 5865(may)s
6334(not)s 6704(appear)s 7404(in)s 7651(identi\207ers;)s 8722(and)s
192 fnt84 4440 2(13)m 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 14 20
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(14)m 240 fnt83 7257 13843(Chapter)m 8107(2.)s
8381(Details)s 240 fnt82 0 13205(although)m 890(the)s 1233(underscore)s
2333(character)s 3262(is)s 3467(a)s 3628(letter)s 4172(and)s
4570(may)s 5031(be)s 5308(used)s 5800(in)s 6038(identi\207ers,)s
7095(it)s 7282(is)s 7487(not)s 7847(con)s 9(v)k 3(entional)k
0 12917(to)m 239(do)s 532(so.)s 909(The)s 1337(complete)s
2269(list)s 2620(of)s 2891(prede\207ned)s 3959(identi\207ers)s 4965(is)s
220 fnt35 480 12416(@Bac)m 4(kEnd)k 480 12128(@Bac)m 4(kg)k 2(round)k
480 11840(@Begin)m 480 11552(@BeginHeaderComponent)m 480 11264(@Break)m 480 10976(@Case)m 480 10688(@ClearHeaderComponent)m
480 10400(@Common)m 480 10112(@Char)m 480 9824(@CurrF)m 11(ace)k 480 9536(@CurrF)m 11(amily)k
480 9248(@CurrLang)m 480 8960(@CurrYUnit)m 480 8672(@CurrZUnit)m 480 8384(@Database)m 480 8096(@End)m
480 7808(@EndHeaderComponent)m 480 7520(@Enclose)m 480 7232(@Filter)m 480 6944(@FilterErr)m 480 6656(@FilterIn)m
480 6368(@FilterOut)m 480 6080(@F)m 6(ont)k 480 5792(@F)m 6(orceGalle)k 4(y)k
480 5504(@Galle)m 4(y)k 480 5216(@Gr)m 2(aphic)k 480 4928(@HAdjust)m
480 4640(@HContr)m 2(act)k 480 4352(@HCo)m 3(v)k 5(er)k
480 4064(@HExpand)m 480 3776(@High)m 480 3488(@HLimited)m 480 3200(@HScale)m 3361 12416(@HShift)m
3361 12128(@HSpan)m 3361 11840(@Include)m 3361 11552(@IncludeGr)m 2(aphic)k 3361 11264(@Inser)m -8(t)k
3361 10976(@K)m 8(er)k -5(nShr)k -3(ink)k 3361 10688(@K)m 8(e)k 4(y)k
3361 10400(@Language)m 3361 10112(@LClos)m 3361 9824(@LEn)m 4(v)k 3361 9536(@LInput)m
3361 9248(@L)m 24(Vis)k 3361 8960(@LUse)m 3361 8672(@Meld)m 3361 8384(@Merge)m
3361 8096(@Min)m 2(us)k 3361 7808(@Moment)m 3361 7520(@Ne)m 6(xt)k
3361 7232(@NotRe)m 6(v)k 5(ealed)k 3361 6944(@Null)m 3361 6656(@OneCol)m
3361 6368(@OneOf)m 3361 6080(@OneRo)m 3(w)k 3361 5792(@Open)m 3361 5504(@Optimiz)m 3(e)k
3361 5216(@Outline)m 3361 4928(@P)m 26(Adjust)k 3361 4640(@P)m 8(ageLabel)k
3361 4352(@PlainGr)m 2(aphic)k 3361 4064(@Plus)m 3361 3776(@PrependGr)m 2(aphic)k
3361 3488(@Ra)m 4(wV)k 17(erbatim)k 5855 12416(@Rotate)m 5855 12128(@Rump)m
5855 11840(@Scale)m 5855 11552(@SetColor)m 5855 11264(@SetColour)m 5855 10976(@SetHeaderComponent)m 5855 10688(@Space)m
5855 10400(@Star)m -8(tHSpan)k 5855 10112(@Star)m -8(tHVSpan)k 5855 9824(@Star)m -8(tVSpan)k
5855 9536(@SysDatabase)m 5855 9248(@SysInclude)m 5855 8960(@SysIncludeGr)m 2(aphic)k 5855 8672(@SysPrependGr)m 2(aphic)k
5855 8384(@T)m 26(ag)k 5855 8096(@T)m 26(agged)k 5855 7808(@T)m 26(arget)k
5855 7520(@Under)m -3(line)k 5855 7232(@Use)m 5855 6944(@V)m 17(Adjust)k
5855 6656(@VContr)m 2(act)k 5855 6368(@VCo)m 3(v)k 5(er)k
5855 6080(@V)m 17(erbatim)k 5855 5792(@VExpand)m 5855 5504(@VLimited)m 5855 5216(@VScale)m
5855 4928(@VShift)m 5855 4640(@VSpan)m 5855 4352(@Wide)m 5855 4064(@Y)m 4(ield)k
5855 3776(@YUnit)m 5855 3488(@ZUnit)m 240 fnt82 0 2745(plus)m 498(the)s
894(names)s 1605(of)s 1924(the)s 2321(parameters)s 3467(of)s
220 fnt35 3786 2742(@Moment)m 240 fnt82 4798 2745(.)m 5011(The)s
5487(symbols)s 220 fnt35 6385 2742(@LClos)m 240 fnt82 7161 2745(,)m
220 fnt35 7316 2742(@LEn)m 4(v)k 240 fnt82 8034 2745(,)m
220 fnt35 8190 2742(@LInput)m 240 fnt82 9019 2745(,)m 220 fnt35
0 2454(@L)m 24(Vis)k 240 fnt82 722 2457(and)m 220 fnt35
1170 2454(@LUse)m 240 fnt82 2001 2457(appear)m 2742(in)s 3029(cross)s
3615(reference)s 4602(databases)s 5613(generated)s 6644(by)s 6982(Lout)s
7538(and)s 7986(are)s 8377(not)s 8788(for)s 0 2169(use)m
375(else)s 6(where.)k 480 1795(A)m 728(sequence)s 1679(of)s
1968(characters)s 3004(which)s 3664(is)s 3892(neither)s 4633(a)s
4817(white)s 5422(space,)s 6078(an)s 6379(identi\207er)s 9(,)k
7357(nor)s 7754(a)s 7938(delimiter)s 9(,)k 8916(is)s
0 1507(by)m 304(def)s 2(ault)k 1036(a)s 240 fnt83
1213 1509(liter)m 3(al)k 1864(wor)s 8(d)k 240 fnt82
2355 1507(,)m 2473(which)s 3126(means)s 3799(that)s 4227(it)s
4430(will)s 4867(pass)s 5341(through)s 6154(Lout)s 6677(unchanged.)s
7890(An)s 8251(arbitrary)s 0 1219(sequence)m 926(of)s 1190(characters)s
2201(enclosed)s 3089(in)s 3325(double)s 4026(quotes,)s 4751(for)s
5082(e)s 3(xample)k 220 fnt35 5938 1216("{  }",)m 240 fnt82
6457 1219(is)m 6660(also)s 7091(a)s 7250(literal)s 7853(w)s 2(ord.)k
8499(Space)s 0 931(characters)m 1005(may)s 1458(be)s 1726(included,)s
2644(b)s 4(ut)k 2992(not)s 3345(tabs)s 3767(or)s
4013(ne)s 6(wlines.)k 5008(There)s 5607(are)s 5941(special)s
6645(character)s 7566(sequences,)s 8629(used)s 0 643(only)m 480(between)s
1334(quotes,)s 2066(for)s 2404(obtaining)s 3361(otherwise)s 4346(inaccessible)s
5556(characters:)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 15 21
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(2.1.)m 454(Le)s 4(xical)k 1213(structur)s 8(e)k
2121(\(wor)s 8(ds,)k 2871(spaces,)s 3602(symbols\))s 4502(and)s
4928(macr)s 10(os)k 240 fnt84 8833 13840(15)m 220 fnt35
480 13167(\\")m 240 fnt82 1235 13170(produces)m 220 fnt35 2150 13167(")m
480 12879(\\\\)m 240 fnt82 1235 12882(\\)m 220 fnt35 480 12591(\\ddd)m
240 fnt82 1235 12594(the)m 1583(character)s 2517(whose)s 3185(ASCII)s
3865(code)s 4373(is)s 1235 12306(the)m 1583(up)s 1876(to)s
2115(three)s 2648(digit)s 3146(octal)s 3665(number)s 220 fnt35
4456 12303(ddd)m 240 fnt82 0 11765(So,)m 360(for)s 698(e)s 3(xample,)k
220 fnt35 1612 11762("\\"@PP\\"")m 240 fnt82 2606 11765(produces)m 220 fnt35
3521 11762("@PP")m 240 fnt82 4177 11765(.)m 480 11391(When)m 1106(the)s
1451(comment)s 2398(character)s 220 fnt35 3328 11388(#)m 240 fnt82
3502 11391(is)m 3709(encountered,)s 4982(e)s 6(v)k 3(erything)k
6045(from)s 6566(that)s 6981(point)s 7530(to)s 7765(the)s
8110(end)s 8511(of)s 8778(the)s 0 11103(line)m 414(is)s
624(ignored.)s 1519(This)s 1995(is)s 2205(useful)s 2844(for)s
3182(including)s 4139(reminders)s 5145(to)s 5384(oneself,)s 6181(lik)s 2(e)k
6593(this:)s 220 fnt35 480 10606(# Lout user man)m 2(ual)k 480 10318(# J)m 6(.)k 13( Kingston, J)k 4(une 1989)k
240 fnt82 0 9819(for)m 338(temporarily)s 1506(deleting)s 2329(parts)s
2844(of)s 3115(the)s 3463(document,)s 4514(and)s 4918(so)s
5184(on.)s 240 fnt83 480 9447(Macr)m 10(os)k 240 fnt82
1268 9445(pro)m 3(vide)k 2064(a)s 2242(means)s 2916(of)s
3199(de\207ning)s 4049(symbols)s 4910(which)s 5564(stand)s 6139(for)s
6489(a)s 6667(sequence)s 7612(of)s 7895(te)s 3(xtual)k
8610(units)s 0 9157(rather)m 616(than)s 1085(an)s 1368(object.)s
2116(F)s 3(or)k 2505(e)s 3(xample,)k 3419(the)s
3767(macro)s 4417(de\207nition)s 220 fnt35 480 8656(macro  @PP  {  //1.3vx  2.0f @Wide  &0i })m 240 fnt82
0 8162(mak)m 2(es)k 663(Lout)s 1178(replace)s 1926(the)s
2277(symbol)s 220 fnt35 3040 8159(@PP)m 240 fnt82 3609 8162(by)m
3906(the)s 4258(gi)s 6(v)k 3(en)k 4841(te)s 3(xtual)k
5546(units)s 6065(before)s 6734(assembling)s 7866(its)s 8145(input)s
8701(into)s 0 7874(objects.)m 841(A)s 1071(similar)s 1793(macro)s
2443(to)s 2682(this)s 3077(one)s 3479(is)s 3689(used)s
4186(to)s 4425(separate)s 5262(the)s 5610(paragraphs)s 6710(of)s
6981(the)s 7329(present)s 8078(document.)s 0 7586(The)m 450(enclosing)s
1442(braces)s 2126(and)s 2552(an)s 3(y)k 2972(spaces)s
3669(adjacent)s 4548(to)s 4809(them)s 5370(are)s 5739(dropped,)s
6654(which)s 7318(can)s 7730(be)s 8034(a)s 8223(problem:)s
220 fnt35 0 7295(@PP2i)m 240 fnt82 731 7298(has)m 1101(result)s
220 fnt35 1691 7295(//1.3vx 2.0f @Wide &0i2i)m 240 fnt82 4141 7298(which)m 4783(is)s
4993(erroneous.)s 480 6924(The)m 938(meaning)s 1846(of)s 2148(symbols)s
3028(used)s 3556(within)s 4254(the)s 4633(body)s 5198(of)s
5500(a)s 5697(macro)s 6377(is)s 6618(determined)s 7782(by)s
8107(where)s 8778(the)s 0 6636(macro)m 667(is)s 895(de\207ned,)s
1724(not)s 2108(by)s 2419(where)s 3077(it)s 3287(is)s
3514(used.)s 4135(Due)s 4607(to)s 4864(implementation)s 6438(problems,)s
220 fnt35 7453 6633(@Open)m 240 fnt82 8277 6636(symbols)m 0 6348(will)m
423(not)s 786(w)s 2(ork)k 1333(within)s 1998(macros.)s
2849(Named)s 3594(and)s 3995(body)s 4525(parameters)s 5620(will)s
6043(w)s 2(ork)k 6590(if)s 6804(the)s 7149(symbol)s
7905(that)s 8320(the)s 3(y)k 8779(are)s 0 6060(parameters)m
1090(of)s 1352(is)s 1553(also)s 1983(present.)s 2828(There)s
3432(is)s 3633(no)s 3918(w)s 2(ay)k 4360(to)s
4590(get)s 4934(a)s 5091(left)s 5459(or)s 5709(right)s
6212(brace)s 6776(into)s 7192(the)s 7532(body)s 8057(of)s
8319(a)s 8476(macro)s 0 5772(without)m 791(the)s 1139(matching)s
2082(brace.)s 480 5398(Macros)m 1253(may)s 1724(be)s 2011(nested)s
2685(within)s 3358(other)s 3914(de\207nitions)s 4980(and)s 5389(e)s 3(xported,)k
6335(b)s 4(ut)k 6702(the)s 3(y)k 7170(may)s
7641(not)s 8012(be)s 8299(parame)s 8998(-)s 0 5110(ters.)m
511(The)s 3(y)k 1058(may)s 1528(not)s 1898(ha)s 4(v)k 3(e)k
2403(parameters)s 3504(or)s 3767(nested)s 4440(de\207nitions)s 5505(of)s
5780(their)s 6280(o)s 6(wn,)k 6798(and)s 7206(consequently)s
8527(a)s 8697(pre)s 8998(-)s 0 4822(ceding)m 220 fnt35
691 4819(e)m 6(xpor)k -8(t)k 240 fnt82 1359 4822(clause)m
2012(\(Section)s 2865(2.3\))s 3293(w)s 2(ould)k 3948(be)s
4230(pointless;)s 5192(ho)s 6(we)k 6(v)k 3(er)k 9(,)k
6099(an)s 220 fnt35 6382 4819(impor)m -8(t)k 240 fnt82
7055 4822(clause)m 7708(is)s 7918(permitted.)s 240 fnt84 0 4030(2.2.)m
471(Named)s 1257(parameters)s 240 fnt82 480 3553(In)m 728(addition)s
1560(to)s 1790(left)s 2159(and)s 2554(right)s 3056(\(or)s
3386(body\))s 3985(parameters,)s 5130(a)s 5288(symbol)s 6039(may)s
6496(ha)s 4(v)k 3(e)k 6989(an)s 3(y)k
7377(number)s 8159(of)s 240 fnt83 8421 3555(named)m 0 3267(par)m 3(ameter)k 2(s)k
240 fnt82 1080 3265(:)m 220 fnt35 480 2768(def @Chapter)m 480 2480(    named @T)m 26(ag {})k
480 2192(    named @Title {})m 480 1904(    r)m -3(ight x)k 480 1616({)m 480 1328(    ...)m
480 1040(})m 240 fnt82 0 546(Their)m 577(de\207nitions)s 1639(appear)s
2336(in)s 2580(between)s 3434(those)s 3996(of)s 4267(an)s 3(y)k
4665(left)s 5042(and)s 5447(right)s 5958(parameters,)s 7113(and)s
7517(each)s 8013(is)s 8224(follo)s 6(wed)k 0 258(by)m
293(a)s 240 fnt83 457 260(default)m 1183(value)s 240 fnt82
1753 258(between)m 2605(braces.)s 3377(When)s 220 fnt35 4004 255(@Chapter)m
240 fnt82 5066 258(is)m 5274(in)s 9(v)k 4(ok)k 2(ed,)k
6136(its)s 6411(named)s 7105(parameters)s 8201(are)s 8546(gi)s 6(v)k 3(en)k

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 16 22
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(16)m 240 fnt83 7257 13843(Chapter)m 8107(2.)s
8381(Details)s 240 fnt82 0 13205(v)m 6(alues)k 656(in)s
899(the)s 1247(follo)s 6(wing)k 2224(w)s 2(ay:)k
220 fnt35 480 12704(@Chapter)m 480 12416(    @T)m 26(ag { intro })k 480 12128(    @Title { Introduction })m
480 11840({)m 480 11552(    ...)m 480 11264(})m 240 fnt82 0 10770(That)m
485(is,)s 737(a)s 889(list)s 1226(of)s 1483(named)s
2166(parameters)s 3250(appears)s 4017(immediately)s 5251(follo)s 6(wing)k
6214(the)s 6549(symbol,)s 7347(each)s 7828(with)s 8296(its)s
8558(v)s 6(alue)k 0 10482(enclosed)m 900(in)s 1149(braces.)s
1929(An)s 3(y)k 2399(right)s 2916(parameter)s 3936(follo)s 6(ws)k
4704(after)s 5206(them.)s 5854(The)s 3(y)k 6403(do)s
6702(not)s 7074(ha)s 4(v)k 3(e)k 7581(to)s
7826(appear)s 8529(in)s 8778(the)s 0 10194(order)m 558(the)s 3(y)k
1015(were)s 1529(de\207ned,)s 2334(and)s 2732(the)s 3(y)k
3189(can)s 3571(e)s 6(v)k 3(en)k 4065(be)s
4341(omitted)s 5122(altogether)s 9(,)k 6169(in)s 6406(which)s
7041(case)s 7502(the)s 7844(def)s 2(ault)k 8558(v)s 6(alue)k
0 9906(from)m 524(the)s 872(de\207nition)s 1846(is)s 2056(used)s
2553(instead.)s 480 9532(If)m 699(the)s 1036(k)s 2(e)k 3(yw)k 2(ord)k
220 fnt35 1913 9529(compulsor)m -6(y)k 240 fnt82 3088 9532(appears)m
3858(after)s 220 fnt35 4342 9529(named)m 240 fnt82 5050 9532(and)m
5442(before)s 6097(the)s 6434(parameter')s 13(s)k 7586(name,)s
8200(Lout)s 8700(will)s 0 9244(print)m 501(a)s 657(w)s 2(arning)k
1481(message)s 2337(whene)s 6(v)k 3(er)k 3307(this)s
3693(parameter)s 4696(is)s 4896(missing.)s 5793(Ho)s 6(we)k 6(v)k 3(er)k
6705(it)s 6886(will)s 7302(still)s 7703(use)s 8068(the)s
8405(def)s 2(ault)k 0 8956(v)m 6(alue)k 568(as)s
818(just)s 1223(described.)s 480 8582(A)m 719(named)s 220 fnt35
1424 8579(@T)m 26(ag)k 240 fnt82 2057 8582(parameter)m 3080(does)s
3580(not)s 3955(tak)s 2(e)k 4417(its)s 4702(def)s 2(ault)k
5433(v)s 6(alue)k 6010(from)s 6544(the)s 6901(de\207nition;)s
7940(instead,)s 8733(if)s 8960(a)s 0 8294(def)m 2(ault)k
726(v)s 6(alue)k 1300(is)s 1516(needed,)s 2306(Lout)s
2824(in)s 9(v)k 3(ents)k 3560(a)s 3731(simple)s
4430(w)s 2(ord)k 4984(which)s 5631(dif)s 6(fers)k
6304(from)s 6834(e)s 6(v)k 3(ery)k 7415(other)s
7972(tag.)s 8434(This)s 8916(is)s 0 8006(important,)m 1034(for)s
1370(e)s 3(xample,)k 2282(in)s 2523(the)s 2868(production)s
3960(of)s 4229(numbered)s 5242(chapters)s 6086(and)s 6488(sections)s
7307(\(Section)s 8158(4.4\).)s 8698(The)s 0 7718(same)m 551(thing)s
1101(occurs)s 1781(if)s 2003(there)s 2541(is)s 2756(a)s
220 fnt35 2927 7715(@T)m 26(ag)k 240 fnt82 3555 7718(parameter)m
4574(b)s 4(ut)k 4940(its)s 5221(v)s 6(alue)k
5794(is)s 6009(the)s 6362(empty)s 7019(object:)s 7774(the)s
8127(v)s 6(alue)k 8700(will)s 0 7430(be)m 282(replaced)s
1149(by)s 1443(an)s 1726(in)s 9(v)k 3(ented)k
2596(one.)s 480 7056(Named)m 1229(parameters)s 2327(may)s 2793(ha)s 4(v)k 3(e)k
3294(parameters,)s 4448(as)s 4698(in)s 4941(the)s 5289(follo)s 6(wing)k
6266(de\207nition:)s 220 fnt35 480 6555(def @Str)m 2(ange)k 480 6267(    named @F)m 6(or)k -5(mat r)k -3(ight @V)k 15(al { [@V)k 15(al] })k
480 5979(    r)m -3(ight x)k 480 5691({)m 480 5403(    @F)m 6(or)k -5(mat x)k
480 5115(})m 240 fnt82 0 4621(The)m 428(named)s 1125(parameter)s
220 fnt35 2139 4618(@F)m 6(or)k -5(mat)k 240 fnt82
3113 4621(has)m 3483(right)s 3995(parameter)s 220 fnt35 5010 4618(@V)m 15(al)k
240 fnt82 5520 4621(,)m 5627(and)s 6032(the)s 6380(def)s 2(ault)k
7102(v)s 6(alue)k 7670(of)s 220 fnt35 7942 4618(@F)m 6(or)k -5(mat)k
240 fnt82 8916 4621(is)m 0 4333(this)m 394(parameter)s 1406(enclosed)s
2299(in)s 2539(brack)s 2(ets.)k 3495(When)s 220 fnt35
4122 4330(@F)m 6(or)k -5(mat)k 240 fnt82 5093 4333(is)m
5300(in)s 9(v)k 4(ok)k 2(ed)k 6113(it)s
6303(must)s 6826(be)s 7105(supplied)s 7972(with)s 8452(a)s
8615(right)s 0 4045(parameter)m 9(,)k 1052(which)s 1694(will)s
2120(replace)s 220 fnt35 2865 4042(@V)m 15(al)k 240 fnt82
3375 4045(.)m 3539(Thus,)s 220 fnt35 480 3544(@Str)m 2(ange 27)k
240 fnt82 0 3045(equals)m 220 fnt35 662 3042(@F)m 6(or)k -5(mat 27)k
240 fnt82 1937 3045(and)m 2341(so)s 2607(has)s 2977(result)s
480 2543([27])m 0 2055(The)m 220 fnt35 428 2052(@F)m 6(or)k -5(mat)k
240 fnt82 1401 2055(symbol)m 2161(is)s 2371(lik)s 2(e)k
2783(a)s 2949(de\207nition)s 3923(with)s 4405(parameters)s 5503(whose)s
6171(body)s 6705(can)s 7094(be)s 7376(changed:)s 220 fnt35
480 1554(@Str)m 2(ange)k 480 1266(    @F)m 6(or)k -5(mat { Slope @F)k 6(ont @V)k 15(al.)k 13( })k
480 978(27)m 240 fnt82 0 527(still)m 412(equals)s 220 fnt35
1074 524(@F)m 6(or)k -5(mat 27)k 240 fnt82 2289 527(,)m
2396(b)s 4(ut)k 2758(this)s 3154(time)s 3634(the)s
3982(result)s 4572(is)s 240 fnt83 480 26(27.)m 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 17 23
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(2.2.)m 454(Named)s 1199(par)s 3(ameter)k 2(s)k
240 fnt84 8831 13840(17)m 240 fnt82 0 13205(In)m 252(practice,)s
1110(e)s 3(xamples)k 2057(of)s 2323(named)s 3015(parameters)s
4109(with)s 4586(parameters)s 5680(all)s 5969(ha)s 4(v)k 3(e)k
6466(this)s 6857(\210a)s 4(v)k 4(our)k 7583(of)s
7850(format)s 8541(being)s 0 12917(separated)m 996(from)s 1556(content;)s
2409(running)s 3243(headers)s 4060(\(Section)s 4950(4.3\))s 5414(and)s
5854(printing)s 6701(styles)s 7332(for)s 7707(bibliographies)s 0 12629(\(Section)m
853(4.5\))s 1281(are)s 1628(tw)s 2(o)k 2038(major)s
2655(ones.)s 240 fnt84 0 11836(2.3.)m 471(Nested)s 1216(de\207nitions,)s
2392(body)s 2954(parameters,)s 4236(extend,)s 5027(import,)s 5844(and)s
6285(export)s 240 fnt82 480 11359(A)m 710(de\207nition)s 1684(may)s
2150(contain)s 2911(other)s 3462(de\207nitions)s 4523(at)s 4755(the)s
5103(be)s 3(ginning)k 6111(of)s 6382(its)s 6658(body:)s
220 fnt35 480 10858(def @NineSquare)m 480 10570(   r)m -3(ight x)k 480 10282({)m
480 9994(   def @Three { x |0.2i x |0.2i x })m 480 9418(   @Three /0.2i @Three /0.2i @Three)m 480 9130(})m 240 fnt82 0 8636(A)m
227(parameter)s 1238(lik)s 2(e)k 220 fnt35 1646 8633(x)m
240 fnt82 1811 8636(may)m 2274(be)s 2552(in)s 9(v)k 4(ok)k 2(ed)k
3364(an)s 3(ywhere)k 4343(within)s 5008(the)s 5353(body)s
5883(of)s 6151(the)s 6495(symbol)s 7252(it)s 7441(is)s
7647(a)s 7810(parameter)s 8820(of,)s 0 8348(including)m 973(within)s
1657(nested)s 2342(de\207nitions.)s 3532(A)s 3778(nested)s 4463(symbol)s
5239(lik)s 2(e)k 220 fnt35 5667 8345(@Three)m 240 fnt82
6531 8348(may)m 7013(be)s 7311(in)s 9(v)k 4(ok)k 2(ed)k
8143(an)s 3(ywhere)k 0 8060(from)m 518(the)s 860(be)s 3(ginning)k
1862(of)s 2127(its)s 2397(o)s 6(wn)k 2855(body)s
3383(to)s 3616(the)s 3958(end)s 4355(of)s 4620(the)s
4962(body)s 5490(of)s 5755(the)s 6097(symbol)s 6851(it)s
7037(is)s 7241(de\207ned)s 7998(within.)s 8766(So,)s 0 7772(assuming)m
957(an)s 1240(appropriate)s 2384(de\207nition)s 3358(of)s 220 fnt35
3629 7769(@Bo)m 6(x)k 240 fnt82 4222 7772(,)m 220 fnt35
480 7271(@NineSquare @Bo)m 6(x)k 240 fnt82 0 6775(has)m 370(result)s
2796 2796 226 2570 240 288 60 480 3689 LoutGr2
grestore save gsave 200 dict begin lfigdict begin
grestore
740 740 226 514 240 288 60 0 2056 LoutGr2

0.5 pt setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore

grestore
740 740 226 514 240 288 60 1028 2056 LoutGr2

0.5 pt setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore

grestore
740 740 226 514 240 288 60 2056 2056 LoutGr2

0.5 pt setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore

grestore
740 740 226 514 240 288 60 0 1028 LoutGr2

0.5 pt setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore

grestore
740 740 226 514 240 288 60 1028 1028 LoutGr2

0.5 pt setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore

grestore
740 740 226 514 240 288 60 2056 1028 LoutGr2

0.5 pt setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore

grestore
740 740 226 514 240 288 60 0 0 LoutGr2

0.5 pt setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore

grestore
740 740 226 514 240 288 60 1028 0 LoutGr2

0.5 pt setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore

grestore
740 740 226 514 240 288 60 2056 0 LoutGr2

0.5 pt setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore

grestore
end end restore
grestore
0 3238(Nested)m 722(de\207nitions)s 1783(may)s 2249(themselv)s 3(es)k
3359(contain)s 4120(nested)s 4789(de\207nitions,)s 5906(to)s 6145(arbitrary)s
7020(depth.)s 480 2864(There)m 1100(are)s 1454(three)s 1994(special)s
2719(features)s 3532(which)s 4181(permit)s 4872(a)s 5045(nested)s
5721(symbol)s 6488(or)s 6754(parameter)s 7775(to)s 8021(be)s
8311(in)s 9(v)k 4(ok)k 2(ed)k 0 2576(outside)m
737(its)s 1003(normal)s 1725(range;)s 2358(that)s 2766(is,)s
3022(outside)s 3759(the)s 4096(body)s 4620(of)s 4881(the)s
5219(enclosing)s 6179(symbol.)s 7038(The)s 7456(\207rst)s 7877(and)s
8270(simplest)s 0 2288(of)m 267(these)s 810(features)s 1611(is)s
1817(the)s 240 fnt83 2161 2290(body)m 2678(par)s 3(ameter)k
240 fnt82 3677 2288(,)m 3780(an)s 4059(alternati)s 6(v)k 3(e)k
5108(form)s 5628(of)s 5895(right)s 6401(parameter)s 13(.)k
7502(The)s 7926(Eq)s 8245(equation)s 0 2000(formatting)m 1052(package)s
1883([4)s 2076(,)s 2174(Chapter)s 2982(7])s 3211(is)s
3412(a)s 3569(classic)s 4249(e)s 3(xample)k 5102(of)s
5364(the)s 5703(use)s 6069(of)s 6331(a)s 6488(body)s
7013(parameter)s 13(.)k 8109(In)s 8355(outline,)s 0 1712(it)m
192(looks)s 762(lik)s 2(e)k 1174(this:)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 18 24
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
%%+ font Symbol
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(18)m 240 fnt83 7257 13843(Chapter)m 8107(2.)s
8381(Details)s 220 fnt35 480 13211(e)m 6(xpor)k -8(t "+" sup o)k 3(v)k 5(er)k
480 12635(def @Eq)m 480 12347(    body x)m 480 12059({)m 480 11771(    def "+" ...)m 480 11483(    def sup ...)m
480 11195(    def o)m 3(v)k 5(er ...)k 480 10907(    ...)m 480 10331(    Slope @F)m 6(ont x)k
480 10043(})m 240 fnt82 0 9549(First)m 518(we)s 874(list)s
1246(those)s 1828(nested)s 2518(symbols)s 3388(and)s 3813(parameters)s
4932(that)s 5371(we)s 5727(intend)s 6404(to)s 6664(refer)s
7194(to)s 7454(outside)s 8222(the)s 8592(body)s 0 9261(of)m
220 fnt35 274 9258(@Eq)m 240 fnt82 815 9261(in)m 1061(an)s
220 fnt35 1347 9258(e)m 6(xpor)k -8(t)k 240 fnt82
2018 9261(clause,)m 2725(preceding)s 3724(the)s 4075(de\207nition)s 5052(as)s
5305(sho)s 6(wn.)k 6092(Only)s 6628(e)s 3(xported)k
7523(symbols)s 8375(may)s 8844(be)s 0 8973(in)m 9(v)k 4(ok)k 2(ed)k
817(outside)s 1566(the)s 1916(body)s 2452(of)s 220 fnt35
2725 8970(@Eq)m 240 fnt82 3203 8973(.)m 3369(The)s 3799(body)s
4335(parameter)s 5351(is)s 5563(lik)s 2(e)k 5977(a)s
6145(right)s 6658(parameter)s 7674(e)s 3(xcept)k 8357(that)s
8778(the)s 0 8685(e)m 3(xported)k 892(symbols)s 1741(are)s
2088(visible)s 2781(within)s 3449(it:)s 220 fnt35 480 8184(@Eq { {x sup 2 + y sup 2} o)m 3(v)k 5(er 2 })k
240 fnt82 0 7686(calls)m 488(on)s 785(the)s 1133(nested)s
1802(de\207nitions)s 2863(of)s 220 fnt35 3134 7683(@Eq)m 240 fnt82
3672 7686(to)m 3911(produce)s 4738(the)s 5086(result)s 168 fnt78
586 7231(2)m 240 fnt83 480 7171(x)m 240 fnt78 738 7163(+)m
168 fnt78 1041 7231(2)m 240 fnt83 939 7171(y)m 641 0 0 0 240 288 12 480 7073 LoutGr2
0 0 moveto xsize 0 lineto 0.05 ft setlinewidth stroke
grestore

grestore
240 fnt78
743 6845(2)m 240 fnt82 0 6334(The)m 416(body)s 937(parameter')s 13(s)k
2089(v)s 6(alue)k 2644(must)s 3156(be)s 3426(enclosed)s
4308(in)s 4539(braces.)s 5300(The)s 5715(term)s 6200(`body)s
6800(parameter')s 7854(is)s 8051(a)s 8204(reminder)s 0 6046(that)m
418(the)s 766(v)s 6(alue)k 1334(is)s 1544(interpreted)s
2636(as)s 2886(if)s 3103(it)s 3295(w)s 2(as)k
3716(within)s 4384(the)s 4732(body)s 5266(of)s 5537(the)s
5885(symbol.)s 480 5672(A)m 710(body)s 1244(parameter)s 2257(may)s
2723(not)s 3089(be)s 3370(e)s 3(xported,)k 4311(and)s
4714(in)s 4957(f)s 2(act)k 5372(a)s 5537(body)s
6071(parameter)s 7085(may)s 7550(be)s 7832(in)s 9(v)k 4(ok)k 2(ed)k
8646(only)s 0 5384(within)m 656(the)s 991(body)s 1512(of)s
1770(the)s 2105(enclosing)s 3063(symbol,)s 3862(not)s 4215(within)s
4870(an)s 3(y)k 5254(nested)s 5911(de\207nitions.)s 7072(F)s 3(or)k
7448(e)s 3(xample,)k 220 fnt35 8349 5381(x)m 240 fnt82
8504 5384(abo)m 3(v)k 3(e)k 0 5096(may)m 471(not)s
843(be)s 1131(in)s 9(v)k 4(ok)k 2(ed)k
1952(within)s 220 fnt35 2626 5093(sup)m 240 fnt82 2972 5096(.)m
3141(This)s 3623(restriction)s 4653(is)s 4869(needed)s 5611(to)s
5855(a)s 4(v)k 4(oid)k 6443(the)s 6797(possibility)s
7853(of)s 8130(recursion,)s 0 4808(when)m 585(the)s 943(actual)s
1577(body)s 2121(parameter)s 3145(in)s 9(v)k 4(ok)k 2(es)k
3935(an)s 4228(e)s 3(xported)k 5129(nested)s 5808(de\207nition)s
6792(which)s 7443(in)s 9(v)k 4(ok)k 2(es)k
8234(the)s 8592(body)s 0 4520(parameter)m 9(,)k 1052(etc.)s
480 4146(The)m 932(second)s 1679(place)s 2263(where)s 2928(e)s 3(xported)k
3844(symbols)s 4717(may)s 5207(be)s 5514(used)s 6035(is)s
6269(in)s 6536(the)s 6909(right)s 7444(parameter)s 8482(of)s
8778(the)s 220 fnt35 0 3855(@Open)m 240 fnt82 806 3858(symbol,)m
1618(and)s 2022(follo)s 6(wing)k 2999(its)s 3275(alternati)s 6(v)k 3(e)k
4329(form,)s 220 fnt35 4900 3855(@Use)m 240 fnt82 5565 3858(\(Section)m
6418(3.36\).)s 480 3484(Exported)m 1480(nested)s 2214(symbols)s 3128(and)s
3598(parameters)s 4761(may)s 5292(be)s 5639(made)s 6279(visible)s
7037(within)s 7770(a)s 8002(subsequent)s 0 3196(de\207nition)m 974(or)s
1233(macro)s 1883(by)s 2177(preceding)s 3173(it)s 3365(with)s
3847(an)s 220 fnt35 4130 3193(impor)m -8(t)k 240 fnt82
4803 3196(clause,)m 5507(lik)s 2(e)k 5919(this:)s 220 fnt35
480 2695(impor)m -8(t @Eq)k 480 2407(def p)m 6(ythag { sqr)k -8(t { x sup 2 + y sup 2 } })k
240 fnt82 0 1908(Note)m 548(ho)s 6(we)k 6(v)k 3(er)k
1444(that)s 220 fnt35 1889 1905(p)m 6(ythag)k 240 fnt82
2617 1908(can)m 3033(only)s 3540(be)s 3849(used)s 4374(with)s
4883(some)s 5471(in)s 9(v)k 4(ocation)k 6552(of)s
220 fnt35 6850 1905(@Eq)m 240 fnt82 7328 1908(:)m 7521(within)s
8216(the)s 8592(body)s 0 1620(parameter)m 1036(of)s 1329(an)s
1635(in)s 9(v)k 4(ocation)k 2711(of)s 220 fnt35
3005 1617(@Eq)m 240 fnt82 3483 1620(,)m 3612(within)s 4303(the)s
4673(right)s 5207(parameter)s 6243(of)s 6537(an)s 220 fnt35
6842 1617(@Eq&&tag @Open)m 240 fnt82 8737 1620(,)m 8867(or)s 0 1332(follo)m 6(wing)k
977(a)s 220 fnt35 1143 1329(@Use { @Eq ...)m 13( })k 240 fnt82
2798 1332(.)m 2962(There)s 3575(may)s 4041(be)s 4323(se)s 6(v)k 3(eral)k
5045(symbols)s 5894(in)s 6137(the)s 220 fnt35 6485 1329(impor)m -8(t)k
240 fnt82 7158 1332(clause.)m 480 958(In)m 760(a)s 951(similar)s
1698(w)s 2(ay)k 2174(to)s 220 fnt35 2438 955(impor)m -8(t)k
240 fnt82 3051 958(,)m 3183(a)s 3374(de\207nition)s 4373(may)s
4864(be)s 5171(preceded)s 6117(by)s 220 fnt35 6436 955(e)m 6(xtend)k
240 fnt82 7162 958(follo)m 6(wed)k 8089(by)s 8408(a)s
8599(sym)s 8998(-)s 0 670(bol)m 361(name:)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 19 25
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(2.3.)m 454(Nested)s 1171(de\207nitions,)s 2261(body)s
2783(par)s 3(ameter)k 2(s,)k 3961(e)s 4(xtend,)k
4674(import,)s 5405(and)s 5831(e)s 4(xport)k 240 fnt84
8832 13840(19)m 220 fnt35 480 13207(e)m 6(xtend @Eq)k 480 12919(def p)m 6(ythag { sqr)k -8(t { x sup 2 + y sup 2 } })k
240 fnt82 0 12420(The)m 418(ef)s 6(fect)k 1003(of)s
1264(this)s 1649(is)s 1849(just)s 2243(as)s 2483(though)s
3195(the)s 3533(de\207nition)s 4496(of)s 220 fnt35 4757 12417(p)m 6(ythag)k
240 fnt82 5447 12420(had)m 5841(occurred)s 6724(directly)s 7497(after)s
7982(the)s 8319(e)s 3(xisting)k 0 12132(de\207nitions)m 1058(within)s
220 fnt35 1722 12129(@Eq)m 240 fnt82 2200 12132(,)m 2303(with)s
220 fnt35 2782 12129(p)m 6(ythag)k 240 fnt82 3479 12132(added)m
4105(to)s 220 fnt35 4340 12129(@Eq)m 240 fnt82 4818 12132(')m 13(s)k
5025(e)s 3(xport)k 5689(list.)s 6140(This)s 6612(is)s
6819(useful)s 7454(for)s 7788(e)s 3(xtending)k 8778(the)s
0 11844(capabilities)m 1128(of)s 1389(a)s 1545(package)s 2375(of)s
2636(de\207nitions)s 3687(lik)s 2(e)k 220 fnt35 4088 11841(@Eq)m
240 fnt82 4616 11844(without)m 5397(modifying)s 6437(its)s 6703(source)s
7373(\207le.)s 7832(The)s 8249(essential)s 0 11556(dif)m 6(ferences)k
1106(to)s 220 fnt35 1346 11553(impor)m -8(t)k 240 fnt82
2020 11556(are)m 2368(that)s 2787(all)s 3081(the)s 3430(symbols)s
4280(of)s 220 fnt35 4552 11553(@Eq)m 240 fnt82 5091 11556(become)m
5892(visible)s 6586(within)s 220 fnt35 7255 11553(p)m 6(ythag)k
240 fnt82 7896 11556(,)m 8004(not)s 8371(just)s 8778(the)s
0 11268(e)m 3(xported)k 892(ones,)s 1438(and)s 1842(only)s
2322(one)s 2724(symbol)s 3484(may)s 3950(follo)s 6(w)k
4622(the)s 220 fnt35 4970 11265(e)m 6(xtend)k 240 fnt82
5671 11268(k)m 2(e)k 3(yw)k 2(ord.)k 480 10894(Actually)m 15(,)k
1399(more)s 1951(than)s 2424(one)s 2831(symbol)s 3595(may)s
4066(follo)s 6(w)k 220 fnt35 4743 10891(e)m 6(xtend)k
240 fnt82 5384 10894(,)m 5495(b)s 4(ut)k 5862(this)s
6262(usage)s 6868(indicates)s 7772(a)s 7943(`path)s 8496(name')s
0 10606(of)m 271(the)s 619(symbol.)s 1488(F)s 3(or)k
1877(e)s 3(xample,)k 220 fnt35 480 10105(e)m 6(xtend @DocumentLa)k 6(y)k 4(out @Repor)k -8(tLa)k 6(y)k 4(out)k
480 9817(def @K)m 8(e)k 4(yw)k 2(ords ...)k 240 fnt82
0 9319(causes)m 676(the)s 1026(de\207nition)s 2002(of)s 220 fnt35
2275 9316(@K)m 8(e)k 4(yw)k 2(ords)k 240 fnt82
3502 9319(to)m 3743(occur)s 4335(directly)s 5120(after)s 5618(the)s
5968(e)s 3(xisting)k 6777(de\207nitions)s 7840(of)s 220 fnt35
8113 9316(@Repor)m -8(t)k 240 fnt82 8998 9319(-)m 220 fnt35
0 9028(La)m 6(y)k 4(out)k 240 fnt82 645 9031(,)m
752(which)s 1394(itself)s 1942(lies)s 2324(within)s 220 fnt35
2992 9028(@DocumentLa)m 6(y)k 4(out)k 240 fnt82 4860 9031(.)m
480 8657(A)m 702(named)s 1390(parameter)s 2395(may)s 2853(also)s
3283(be)s 3556(preceded)s 4469(by)s 4754(an)s 220 fnt35
5029 8654(impor)m -8(t)k 240 fnt82 5694 8657(clause.)m 6386(As)s
6695(usual,)s 7299(the)s 7638(meaning)s 8507(is)s 8708(that)s
0 8369(the)m 336(visible)s 1016(local)s 1522(de\207nitions)s 2570(of)s
2828(the)s 3163(import)s 3847(symbol\(s\))s 4839(are)s 5173(visible)s
5853(within)s 6508(the)s 6843(body)s 7364(\(the)s 7778(def)s 2(ault)k
8486(v)s 6(alue\))k 0 8081(of)m 281(the)s 640(named)s
1347(parameter)s 13(.)k 2463(But)s 2879(furthermore,)s 4137(those)s
4709(symbols)s 5569(will)s 6005(be)s 6298(visible)s 7002(within)s
7681(all)s 7985(in)s 9(v)k 4(ocations)k 0 7793(of)m
271(the)s 619(parameter)s 13(.)k 1724(F)s 3(or)k
2113(e)s 3(xample,)k 3027(suppose)s 3855(we)s 4190(de\207ne)s
220 fnt35 480 7292(def @Diag)m 480 7004(    impor)m -8(t @Algebr)k 2(a named line)k 4(width { 1p })k
480 6716(    impor)m -8(t @Algebr)k 2(a named dashlength { 2p })k 480 6428(    ...)m 240 fnt82
0 5977(Then,)m 599(if)s 220 fnt35 816 5974(@Algebr)m 2(a)k
240 fnt82 1847 5977(e)m 3(xports)k 2599(symbols)s 220 fnt35
3448 5974(+)m 240 fnt82 3568 5977(,)m 220 fnt35 3675 5974(-)m
240 fnt82 3739 5977(,)m 3846(and)s 4250(so)s 4516(on,)s
4863(we)s 5198(may)s 5664(write)s 220 fnt35 480 5476(@Diag)m
480 5188(    line)m 4(width { 1f - 2p })k 480 4900(    dashlength { 1f + 2p })m 240 fnt82 0 4401(using)m
565(the)s 905(symbols)s 1747(from)s 220 fnt35 2263 4398(@Algebr)m 2(a)k
240 fnt82 3234 4401(.)m 3391(There)s 3996(may)s 4454(be)s
4729(se)s 6(v)k 3(eral)k 5443(symbols)s 6285(after)s
6773(the)s 220 fnt35 7114 4398(impor)m -8(t)k 240 fnt82
7779 4401(k)m 2(e)k 3(yw)k 2(ord.)k 8766(All)s
0 4113(these)m 558(symbols)s 1418(share)s 1990(an)s 2284(important)s
3285(restriction:)s 4429(the)s 3(y)k 4904(may)s 5381(not)s
5759(ha)s 4(v)k 3(e)k 6271(parameters.)s 7434(This)s
7921(is)s 8143(necessary)s 0 3825(because)m 841(Lout)s 1382(w)s 2(ould)k
2065(be)s 2376(unable)s 3098(to)s 3366(determine)s 4406(suitable)s
5233(v)s 6(alues)k 5918(for)s 6284(an)s 3(y)k
6710(such)s 7234(parameters,)s 8417(if)s 8663(the)s 3(y)k
0 3537(did)m 364(e)s 3(xist.)k 480 3163(As)m 814(an)s
1115(e)s 3(xception)k 2116(to)s 2373(the)s 2738(rule)s
3183(just)s 3605(gi)s 6(v)k 3(en,)k 4253(a)s
4436(named)s 5150(parameter)s 6181(may)s 6665(import)s 7379(the)s
7745(symbol)s 8522(it)s 8732(is)s 8960(a)s 0 2875(parameter)m
1014(of:)s 220 fnt35 480 2374(e)m 6(xpor)k -8(t @Cell)k
480 2086(def @Tb)m 4(l)k 480 1798(    impor)m -8(t @Tb)k 4(l named @F)k 6(or)k -5(mat { ...)k 13( })k
240 fnt82 0 1302(In)m 274(this)s 688(e)s 3(xample)k
1569(the)s 1936(e)s 3(xported)k 2846(de\207nitions)s 3925(of)s
220 fnt35 4215 1299(@Tb)m 4(l)k 240 fnt82 4802 1302(\(i.e.)m
220 fnt35 5235 1299(@Cell)m 240 fnt82 5820 1302(\))m 5966(will)s
6411(be)s 6711(visible)s 7422(within)s 220 fnt35 8109 1299(@F)m 6(or)k -5(mat)k
240 fnt82 9022 1302(.)m 0 1014(Ho)m 6(we)k 6(v)k 3(er)k 9(,)k
984(the)s 3(y)k 1472(may)s 1963(only)s 2467(be)s
2774(used)s 3296(in)s 3563(actual)s 4213(parameters,)s 5392(not)s
5782(in)s 6050(the)s 6423(def)s 2(ault)k 7168(v)s 6(alue)k
7761(of)s 8057(the)s 8430(named)s 0 726(parameter)m 13(.)k
1098(This)s 1567(is)s 1769(o)s 6(wing)k 2408(to)s
2639(implementation)s 4189(problems:)s 5237(at)s 5462(the)s 5803(time)s
6275(the)s 6616(def)s 2(ault)k 7329(v)s 6(alue)k
7890(of)s 220 fnt35 8153 723(@F)m 6(or)k -5(mat)k

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 20 26
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(20)m 240 fnt83 7257 13843(Chapter)m 8107(2.)s
8381(Details)s 240 fnt82 0 13205(is)m 210(read,)s 728(the)s
1076(e)s 3(xported)k 1968(symbols)s 2817(ha)s 4(v)k 3(e)k
3318(not)s 3684(been)s 4193(read)s 4662(and)s 5066(are)s
5413(consequently)s 6730(not)s 7096(kno)s 6(wn.)k 480 12831(Since)m
220 fnt35 1064 12828(@Cell)m 240 fnt82 1706 12831(is)m 1913(nested)s
2579(within)s 220 fnt35 3244 12828(@Tb)m 4(l)k 240 fnt82
3753 12831(,)m 3857(the)s 4202(v)s 6(alue)k 4766(of)s
5034(an)s 5314(in)s 9(v)k 4(ocation)k 6365(of)s
220 fnt35 6633 12828(@Cell)m 240 fnt82 7275 12831(may)m 7738(depend)s
8485(on)s 8778(the)s 0 12543(v)m 6(alue)k 582(of)s
868(parameters)s 1980(of)s 220 fnt35 2266 12540(@Tb)m 4(l)k
240 fnt82 2775 12543(.)m 2953(If)s 220 fnt35 3198 12540(@Cell)m
240 fnt82 3857 12543(is)m 4082(used)s 4593(within)s 5276(an)s
5573(actual)s 220 fnt35 6213 12540(@F)m 6(or)k -5(mat)k
240 fnt82 7200 12543(parameter)m 9(,)k 8267(its)s 8558(v)s 6(alue)k
0 12255(depends)m 833(on)s 1126(the)s 1471(v)s 6(alue)k
2035(of)s 2303(parameters)s 3397(of)s 3665(the)s 4009(in)s 9(v)k 4(ocation)k
5060(of)s 220 fnt35 5327 12252(@Tb)m 4(l)k 240 fnt82
5893 12255(of)m 6160(which)s 6799(the)s 220 fnt35 7143 12252(@F)m 6(or)k -5(mat)k
240 fnt82 8112 12255(parameter)m 0 11967(is)m 210(a)s 376(part.)s
480 11593(A)m 710(de\207nition,)s 1734(macro,)s 2438(or)s 2697(named)s
3393(parameter)s 4407(may)s 4873(ha)s 4(v)k 3(e)k
5374(se)s 6(v)k 3(eral)k 6096(alternati)s 6(v)k 3(e)k
7150(names,)s 7868(lik)s 2(e)k 8280(this:)s 220 fnt35
480 11092(macro @CD @CentredDispla)m 6(y @CenteredDispla)k 6(y { ...)k 13( })k 240 fnt82
0 10594(This)m 489(is)s 713(useful)s 1366(for)s 1718(abbre)s 6(viated)k
2898(and)s 3316(alternati)s 6(v)k 3(e)k 4384(spellings,)s
5355(as)s 5618(sho)s 6(wn.)k 6416(The)s 6858(names)s
7534(appear)s 8245(together)s 9(,)k 0 10306(and)m 404(the)s 3(y)k
867(may)s 1333(subsequently)s 2637(be)s 2919(used)s 3416(interchangeably)s 15(.)k
480 9932(If)m 698(one)s 1088(name)s 1649(of)s 1908(a)s
2062(symbol)s 2809(appears)s 3578(in)s 3809(an)s 4079(e)s 3(xport)k
4735(or)s 4982(import)s 5666(list,)s 6052(its)s 6316(other)s
6854(names)s 7504(are)s 7838(automaticaly)s 0 9644(included)m 882(as)s
1132(well,)s 1650(and)s 2054(should)s 2751(not)s 3117(also)s
3555(appear)s 4252(in)s 4495(the)s 4843(list.)s 240 fnt84
0 8851(2.4.)m 471(Filter)s 4(ed)k 1330(right)s 1894(and)s
2335(body)s 2897(parameters)s 240 fnt82 480 8374(A)m 719(right)s
1239(or)s 1507(body)s 2050(parameter)s 3073(may)s 3548(be)s
3839(\207ltered)s 4582(by)s 4885(some)s 5455(other)s 6015(computer)s
6987(program)s 7866(before)s 8541(being)s 0 8086(included)m 882(by)s
1176(Lout.)s 1792(As)s 2109(an)s 2392(e)s 3(xample)k
3255(of)s 3526(such)s 4022(a)s 4188(program)s 5058(we)s
5393(will)s 5819(use)s 6194(the)s 6542(Unix)s 220 fnt35
7076 8083(sor)m -8(t)k 240 fnt82 7506 8086(command:)m 220 fnt35
480 7587(sor)m -8(t  -o out\207le  in\207le)k 240 fnt82 0 7133(This)m 499(causes)s
1198(\207le)s 220 fnt35 1582 7130(out\207le)m 240 fnt82 2243 7133(to)m
2505(contain)s 3290(a)s 3480(sorted)s 4145(cop)s 2(y)k
4687(of)s 4981(\207le)s 220 fnt35 5366 7130(in\207le)m 240 fnt82
5808 7133(.)m 5996(W)s 19(e)k 6388(incorporate)s 7556(this)s
7975(into)s 8424(a)s 8614(Lout)s 0 6845(de\207nition)m 974(as)s
1224(follo)s 6(ws:)k 220 fnt35 480 6393(def @Sor)m -8(t)k
480 6105(    named @Options {})m 480 5817(    r)m -3(ight x)k 480 5529({)m 480 5241(    def @Filter { sor)m -8(t @Options  -o @FilterOut  @FilterIn })k
480 4665(    lines @Break x)m 480 4377(})m 240 fnt82 0 3883(The)m 440(presence)s
1345(within)s 220 fnt35 2026 3880(@Sor)m -8(t)k 240 fnt82
2728 3883(of)m 3012(a)s 3191(de\207nition)s 4178(of)s 4462(a)s
4641(symbol)s 5414(called)s 220 fnt35 6055 3880(@Filter)m 240 fnt82
6837 3883(tells)m 7298(Lout)s 7823(that)s 8254(the)s 8615(right)s
0 3595(parameter)m 1057(of)s 220 fnt35 1372 3592(@Sor)m -8(t)k
240 fnt82 2104 3595(is)m 2358(to)s 2640(be)s 2966(\207ltered)s
3743(before)s 4453(inclusion.)s 5537(When)s 220 fnt35 6210 3592(@Sor)m -8(t)k
240 fnt82 6942 3595(is)m 7196(in)s 9(v)k 4(ok)k 2(ed,)k
220 fnt35 8103 3592(@Filter)m 240 fnt82 8916 3595(is)m 0 3307(e)m 6(v)k 6(aluated)k
978(and)s 1399(its)s 1692(v)s 6(alue)k 2277(e)s 3(x)k 3(ecuted)k
3196(as)s 3463(a)s 3646(system)s 4387(command.)s 5512(In)s
5785(addition)s 6643(to)s 6899(the)s 7264(symbols)s 8130(ordinarily)s
0 3019(a)m 4(v)k 6(ailable)k 908(within)s 1576(the)s
1924(body)s 2458(of)s 220 fnt35 2729 3016(@Filter)m 240 fnt82
3438 3019(,)m 3545(there)s 4078(are)s 4425(three)s 4958(others:)s
220 fnt35 0 2513(@FilterIn)m 240 fnt82 1920 2516(the)m 2273(name)s
2852(of)s 3128(a)s 3299(\207le)s 3665(which)s 4312(will,)s
4795(at)s 5032(the)s 5385(time)s 5870(the)s 6223(system)s
6952(command)s 7959(is)s 8175(e)s 3(x)k 3(ecuted,)k
1920 2228(contain)m 2726(the)s 3119(actual)s 3789(right)s 4345(or)s
4649(body)s 5228(parameter)s 6287(of)s 6603(the)s 6996(symbol,)s
7853(e)s 3(xactly)k 8639(as)s 8934(it)s 1920 1940(appears)m
2701(in)s 2944(the)s 3292(input)s 3844(\207le;)s 220 fnt35
0 1434(@FilterOut)m 240 fnt82 1920 1437(the)m 2305(name)s 2916(of)s
3224(a)s 3427(\207le)s 3826(of)s 4134(Lout)s 4683(te)s 3(xt)k
5135(whose)s 5840(contents)s 6726(Lout)s 7275(will)s 7738(read)s
8244(after)s 8778(the)s 1920 1149(system)m 2657(command)s 3673(has)s
4057(\207nished,)s 4936(as)s 5200(a)s 5380(replacement)s 6620(for)s
6972(what)s 7511(w)s 2(as)k 7946(put)s 8326(into)s
8765(\207le)s 220 fnt35 1920 858(@FilterIn)m 240 fnt82 2798 861(;)m
220 fnt35 0 374(@FilterErr)m 240 fnt82 1920 377(the)m 2273(name)s
2852(of)s 3129(a)s 3300(\207le)s 3667(that)s 4090(Lout)s
4608(will)s 5039(attempt)s 5820(to)s 6065(read)s 6539(after)s
7041(the)s 7394(system)s 8124(command)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 21 27
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(2.4.)m 454(F)s 10(ilter)k 8(ed)k
1271(right)s 1800(and)s 2226(body)s 2748(par)s 3(ameter)k 2(s)k
240 fnt84 8839 13840(21)m 240 fnt82 1920 13205(has)m 2281(\207nished,)s
3137(containing)s 4191(error)s 4705(messages)s 5649(produced)s 6589(by)s
6874(the)s 7213(command)s 8206(that)s 8614(Lout)s 1920 12917(will)m
2346(pass)s 2809(on)s 3106(to)s 3345(the)s 3693(user)s
4151(as)s 4401(non-f)s 2(atal)k 5316(errors.)s 6036(Use)s
6464(of)s 6735(this)s 7131(\207le)s 7492(is)s 7702(optional.)s
0 12414(It)m 205(is)s 415(a)s 581(f)s 2(atal)k
1057(error)s 1580(for)s 1918(the)s 2266(system)s 2990(command)s
3992(to)s 4231(return)s 4858(a)s 5024(non-zero)s 5927(status.)s
480 12040(No)m 6(w)k 1001(the)s 220 fnt35 1356 12037(sor)m -8(t)k
240 fnt82 1793 12040(command)m 2802(has)s 3179(options)s 220 fnt35
3942 12037(-u)m 240 fnt82 4190 12040(for)m 4535(deleting)s 5365(duplicate)s
6304(lines,)s 6869(and)s 220 fnt35 7280 12037(-r)m 240 fnt82
7493 12040(for)m 7838(re)s 6(v)k 3(ersing)k 8778(the)s
0 11752(sorting)m 717(order)s 13(.)k 1372(So)s 1678(the)s
2026(result)s 2616(of)s 220 fnt35 480 11251(@Sor)m -8(t)k
480 10963(    @Options { -r -u })m 480 10675({)m 480 10387(A)m 6(usten, J)k 4(ane)k
480 10099(Dic)m 4(k)k 4(ens)k 3(, Char)k -3(les)k
480 9811(Eliot, George)m 480 9523(Hardy)m 22(, )k 11(Thomas)k 480 9235(Bront{@Char edieresis}, Char)m -3(lotte)k
480 8947(})m 240 fnt82 0 8453(is)m 480 8000(Hardy)m 15(,)k
1170(Thomas)s 480 7712(Eliot,)m 1051(Geor)s 4(ge)k 480 7424(Dick)m 2(ens,)k
1369(Charles)s 480 7136(Bront\353,)m 1238(Charlotte)s 480 6848(Austen,)m 1265(Jane)s
0 6364(Unlik)m 2(e)k 705(all)s 998(the)s 1347(other)s
1898(e)s 3(xamples)k 2849(in)s 3093(this)s 3489(manual,)s
4300(this)s 4697(output)s 5369(is)s 5579(simulated.)s 6673(This)s
7149(w)s 2(as)k 7570(done)s 8093(so)s 8359(that)s
8778(the)s 0 6076(ability)m 661(to)s 896(format)s 1588(this)s
1980(manual)s 2735(is)s 2942(not)s 3304(dependent)s 4344(on)s
4637(the)s 4981(e)s 3(xistence)k 5919(of)s 6187(the)s
6531(Unix)s 220 fnt35 7061 6073(sor)m -8(t)k 240 fnt82
7487 6076(command,)m 8534(and)s 8934(it)s 0 5788(highlights)m 1008(the)s
1356(f)s 2(act)k 1771(that)s 2189(\207ltered)s 2923(actual)s
3548(parameters)s 4646(are)s 4993(by)s 5287(their)s 5784(nature)s
6437(of)s 6708(uncertain)s 7654(portability)s 15(.)k 480 5414(There)m
1114(is)s 1345(no)s 1660(need)s 2191(for)s 2550(an)s
2855(actual)s 3501(\207ltered)s 4257(parameter)s 5292(to)s 5552(obe)s 3(y)k
6091(the)s 6460(le)s 3(xical)k 7169(rules)s 7706(of)s
7998(Lout,)s 8579(since)s 0 5126(it)m 207(is)s 432(passed)s
1143(directly)s 1941(to)s 2195(the)s 2558(other)s 3124(program.)s
4113(Ho)s 6(we)k 6(v)k 3(er)k 9(,)k
5088(Lout)s 5615(must)s 6155(be)s 6452(able)s 6921(to)s
7175(w)s 2(ork)k 7741(out)s 8122(where)s 8778(the)s
0 4838(parameter)m 1034(ends,)s 1601(which)s 2263(gi)s 6(v)k 3(es)k
2831(rise)s 3251(to)s 3511(the)s 3879(follo)s 6(wing)k
4877(rules.)s 5525(As)s 5863(with)s 6365(a)s 6552(body)s
7106(parameter)s 9(,)k 8179(a)s 8366(symbol)s 220 fnt35
0 4547(@Sym)m 240 fnt82 730 4550(with)m 1235(a)s 1423(\207ltered)s
2180(parameter)s 3217(must)s 3764(be)s 4069(in)s 9(v)k 4(ok)k 2(ed)k
4906(in)s 5172(either)s 5798(the)s 6168(form)s 220 fnt35
6715 4547(@Sym { ...)m 13( })k 240 fnt82 7949 4550(or)m 8231(the)s
8602(form)s 220 fnt35 0 4259(@Sym @Begin ...)m 13( @End @Sym)k 240 fnt82
3120 4262(,)m 3251(plus)s 3725(options)s 4505(as)s 4779(usual.)s
5472(In)s 5753(the)s 6125(former)s 6858(case,)s 7400(braces)s
8085(within)s 8778(the)s 0 3974(actual)m 625(parameter)s 1639(must)s
2164(match;)s 2860(in)s 3103(the)s 3451(latter)s 4000(case,)s
4518(the)s 4866(actual)s 5491(parameter)s 6505(may)s 6971(not)s
7337(contain)s 220 fnt35 8098 3971(@End)m 240 fnt82 8699 3974(.)m
480 3600(If)m 725(an)s 1024(actual)s 1664(\207ltered)s 2414(parameter)s
3444(contains)s 220 fnt35 4307 3597(@Include)m 240 fnt82 5229 3600(,)m
5352(this)s 5764(is)s 5989(tak)s 2(en)k 6578(to)s
6833(be)s 3(gin)k 7434(a)s 7616(Lout)s 220 fnt35
8144 3597(@Include)m 240 fnt82 0 3312(directi)m 6(v)k 3(e)k
882(in)s 1125(the)s 1473(usual)s 2033(form)s 2557(\(Section)s
3410(3.42\):)s 220 fnt35 480 2821(@Sor)m -8(t {)k 480 2533(A)m 6(usten, J)k 4(ane)k
480 2245(@Include { authors })m 480 1957(Hardy)m 22(, )k 11(Thomas)k 480 1669(})m
240 fnt82 0 1175(The)m 421(included)s 1296(\207le)s 1649(becomes)s
2530(part)s 2954(of)s 220 fnt35 3217 1172(@FilterIn)m 240 fnt82
4095 1175(,)m 4195(b)s 4(ut)k 4549(an)s 3(y)k
4939(braces,)s 220 fnt35 5649 1172(@Include)m 240 fnt82 6571 1175(,)m
6670(or)s 220 fnt35 6922 1172(@End)m 240 fnt82 7576 1175(within)m
8236(it)s 8421(are)s 8760(not)s 0 887(noticed)m 762(by)s
1056(Lout.)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 22 28
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(22)m 240 fnt83 7257 13843(Chapter)m 8107(2.)s
8381(Details)s 240 fnt82 480 13205(The)m 928(\207rst)s 1380(character)s
2335(of)s 2627(\207le)s 220 fnt35 3009 13202(@FilterIn)m 240 fnt82
3968 13205(will)m 4415(be)s 4718(the)s 5087(\207rst)s 5539(non-white)s
6586(space)s 7194(character)s 8149(follo)s 6(wing)k 0 12917(the)m
353(opening)s 220 fnt35 1184 12914({)m 240 fnt82 1314 12917(or)m
220 fnt35 1579 12914(@Begin)m 240 fnt82 2348 12917(,)m 2461(or)s
2726(the)s 3080(\207rst)s 3517(character)s 4457(of)s 4734(an)s
5023(included)s 5911(\207le)s 6278(if)s 220 fnt35 6501 12914(@Include)m
240 fnt82 7489 12917(comes)m 8157(\207rst.)s 8698(The)s 0 12629(second-last)m
1146(character)s 2091(of)s 2374(\207le)s 220 fnt35 2746 12626(@FilterIn)m
240 fnt82 3696 12629(will)m 4133(be)s 4427(the)s 4786(last)s
5189(non-white)s 6226(space)s 6825(character)s 7770(preceding)s 8778(the)s
0 12341(closing)m 220 fnt35 745 12338(})m 240 fnt82 871 12341(or)m
220 fnt35 1132 12338(@End @Sym)m 240 fnt82 2454 12341(,)m 2563(or)s
2824(the)s 3174(last)s 3567(character)s 4503(of)s 4775(an)s
5060(included)s 5944(\207le)s 6307(if)s 220 fnt35 6526 12338(@Include)m
240 fnt82 7510 12341(comes)m 8174(last.)s 8671(One)s 0 12053(ne)m 6(wline)k
833(character)s 1794(is)s 2030(al)s 2(w)k 2(ays)k
2768(appended)s 3770(and)s 4201(is)s 4437(the)s 4812(last)s
5229(character)s 6190(of)s 6487(\207le)s 220 fnt35 6875 12050(@FilterIn)m
240 fnt82 7753 12053(.)m 7943(This)s 8446(ef)s 6(fects)k
0 11765(a)m 206(compromise)s 1484(between)s 2378(the)s 2766(Lout)s
3319(con)s 9(v)k 3(ention,)k 4518(that)s 4976(spaces)s
5691(follo)s 6(wing)k 220 fnt35 6708 11762({)m 240 fnt82
6873 11765(or)m 7172(preceding)s 220 fnt35 8208 11762(})m 240 fnt82
8372 11765(are)m 8760(not)s 0 11477(signi\207cant,)m 1103(with)s 1585(the)s
1933(Unix)s 2467(con)s 9(v)k 3(ention)k 3576(that)s
3994(all)s 4287(te)s 3(xt)k 4702(\207les)s 5151(end)s
5555(with)s 6037(a)s 6203(ne)s 6(wline)k 7010(character)s 13(.)k
240 fnt84 0 10684(2.5.)m 471(Pr)s 4(ecedence)k 1677(and)s
2118(associati)s 2(vity)k 3420(of)s 3692(symbols)s 240 fnt82
480 10207(Ev)m 3(ery)k 1131(symbol)s 1920(in)s 2192(Lout)s
2733(has)s 3132(a)s 240 fnt83 3327 10209(pr)m 8(ecedence)k
240 fnt82 4401 10207(,)m 4538(which)s 5209(is)s 5448(a)s
5643(positi)s 6(v)k 3(e)k 6476(whole)s 7146(number)s 13(.)k
8057(When)s 8716(tw)s 2(o)k 0 9919(symbols)m 849(compete)s
1715(for)s 2053(an)s 2336(object,)s 3027(the)s 3375(one)s
3777(with)s 4259(the)s 4607(higher)s 5278(precedence)s 6409(wins)s
6912(it.)s 7208(F)s 3(or)k 7597(e)s 3(xample,)k
220 fnt35 480 9418(a  |  b  /  c)m 240 fnt82 0 8963(is)m 210(equi)s 6(v)k 6(alent)k
1253(to)s 220 fnt35 1491 8960({)m 1616(a)s 1794(|)s
1892(b)s 2067(})s 2192(/)s 2317(c)s 240 fnt82
2482 8963(rather)m 3097(than)s 220 fnt35 3565 8960(a)m 3743(|)s
3841({)s 3966(b)s 4141(/)s 4266(c)s 4432(})s
240 fnt82 4496 8963(,)m 4603(because)s 220 fnt35 5415 8960(|)m
240 fnt82 5511 8963(has)m 5881(higher)s 6551(precedence)s 7681(than)s
220 fnt35 8150 8960(/)m 240 fnt82 8273 8963(and)m 8676(thus)s
0 8675(wins)m 503(the)s 220 fnt35 851 8672(b)m 240 fnt82
965 8675(.)m 480 8301(When)m 1149(the)s 1538(tw)s 2(o)k
1988(competing)s 3092(symbols)s 3981(ha)s 4(v)k 3(e)k
4523(equal)s 5137(precedence,)s 6359(Lout)s 6912(applies)s 7680(a)s
7887(second)s 8651(rule.)s 0 8013(Each)m 545(symbol)s 1316(is)s
1537(either)s 240 fnt83 2151 8015(left-associative)m 240 fnt82 3659 8013(or)m
240 fnt83 3929 8015(right-associative)m 240 fnt82 5528 8013(.)m 5703(The)s
6142(v)s 6(alue)k 6720(of)s 220 fnt35 7002 8010(a)m
7180(op1)s 7564(b)s 7739(op2)s 8156(c)s 240 fnt82
8332 8013(is)m 8553(tak)s 2(en)k 0 7725(to)m 252(be)s
220 fnt35 547 7722({)m 672(a)s 850(op1)s 1234(b)s
1409(})s 1534(op2)s 1951(c)s 240 fnt82 2129 7725(if)m
2359(the)s 2720(symbols)s 3582(are)s 3942(both)s 4438(left-associati)s 6(v)k 3(e,)k
5993(and)s 220 fnt35 6410 7722(a op1 { b op2 c })m 240 fnt82 8072 7725(if)m
8302(the)s 3(y)k 8779(are)s 0 7437(right-associati)m 6(v)k 3(e.)k
1733(In)s 1989(cases)s 2544(not)s 2910(co)s 3(v)k 3(ered)k
3719(by)s 4013(these)s 4560(tw)s 2(o)k 4970(rules,)s
5541(use)s 5916(braces.)s 480 7063(It)m 672(sometimes)s 1732(happens)s
2554(that)s 2959(the)s 3294(result)s 3870(is)s 4067(the)s
4402(same)s 4935(re)s 3(g)k 1(ardless)k 5937(of)s
6195(ho)s 6(w)k 6642(the)s 6977(e)s 3(xpression)k
8041(is)s 8237(grouped.)s 0 6775(F)m 3(or)k 382(e)s 3(xample,)k
220 fnt35 1289 6772({)m 1414(a)s 1592(|)s 1690(b)s
1865(})s 1990(|)s 2088(c)s 240 fnt82 2246 6775(and)m
220 fnt35 2643 6772(a)m 2821(|)s 2919({)s 3044(b)s
3219(|)s 3317(c)s 3483(})s 240 fnt82 3599 6775(are)m
3939(al)s 2(w)k 2(ays)k 4643(the)s 4984(same,)s
5575(for)s 5905(an)s 3(y)k 6295(combination)s 7541(of)s
7805(objects,)s 8581(g)s 1(aps,)k 0 6487(and)m 416(v)s 6(ariants)k
1230(of)s 220 fnt35 1513 6484(|)m 240 fnt82 1550 6487(.)m
1727(In)s 1995(such)s 2504(cases)s 3071(the)s 3432(symbols)s
4293(are)s 4653(said)s 5108(to)s 5360(be)s 240 fnt83
5654 6489(associative)m 240 fnt82 6709 6487(,)m 6829(and)s 7245(we)s
7593(can)s 7995(con\207dently)s 0 6199(omit)m 498(the)s 846(braces.)s
480 5825(User)m 4(-de\207ned)k 1769(symbols)s 2618(may)s 3084(be)s
3366(gi)s 6(v)k 3(en)k 3946(a)s 4112(precedence)s
5243(and)s 5647(associati)s 6(vity:)k 220 fnt35 480 5324(def @Super)m
480 5036(   precedence 50)m 480 4748(   associativity r)m -3(ight)k 480 4460(   left x)m 480 4172(   r)m -3(ight y)k
480 3884({)m 480 3596(   @OneRo)m 3(w { | -2p @F)k 6(ont y ^/0.5fk x })k 480 3308(})m
240 fnt82 0 2814(The)m 3(y)k 541(come)s 1113(just)s
1516(after)s 2010(an)s 3(y)k 220 fnt35 2405 2811(into)m
240 fnt82 2809 2814(clause)m 3460(and)s 3862(before)s 4526(an)s 3(y)k
4921(parameter)s 5933(de\207nitions.)s 7105(The)s 7531(precedence)s 8660(may)s
0 2526(be)m 280(an)s 3(y)k 674(whole)s 1313(number)s
2101(between)s 2952(10)s 3245(and)s 3646(100,)s 4110(and)s
4512(if)s 4726(omitted)s 5511(is)s 5719(assigned)s 6598(the)s
6943(v)s 6(alue)k 7509(100.)s 8030(The)s 8455(higher)s
0 2238(the)m 373(number)s 9(,)k 1227(the)s 1600(higher)s
2296(the)s 2669(precedence.)s 3933(The)s 4386(associati)s 6(vity)k
5654(may)s 6145(be)s 220 fnt35 6452 2235(left)m 240 fnt82
6825 2238(or)m 220 fnt35 7109 2235(r)m -3(ight)k 240 fnt82
7534 2238(,)m 7666(and)s 8095(if)s 8338(omitted)s 0 1950(def)m 2(aults)k
805(to)s 220 fnt35 1044 1947(r)m -3(ight)k 240 fnt82
1469 1950(.)m 1633(Lout')s 13(s)k 2295(symbols)s 3144(ha)s 4(v)k 3(e)k
3645(the)s 3993(follo)s 6(wing)k 4970(precedences)s 6189(and)s
6593(associati)s 6(vities:)k 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 23 29
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(2.5.)m 454(Pr)s 8(ecedence)k 1614(and)s
2040(associativity)s 3290(of)s 3571(symbols)s 240 fnt84 8833 13840(23)m
240 fnt82 480 13170(Precedence)m 1904(Associati)s 6(vity)k 3493(Symbols)s
969 12594(5)m 2011(associati)s 6(v)k 3(e)k 220 fnt35
3493 12591(/  ^/  //  ^//)m 240 fnt82 965 12306(6)m 2011(associati)s 6(v)k 3(e)k
220 fnt35 3493 12303(|  ^|  ||  ^||)m 240 fnt82 968 12018(7)m 2011(associati)s 6(v)k 3(e)k
220 fnt35 3493 12015(&  ^&)m 240 fnt82 968 11730(7)m 2011(associati)s 6(v)k 3(e)k
220 fnt35 3493 11727(&)m 240 fnt82 3695 11730(in)m 3938(the)s
4286(form)s 4810(of)s 5081(one)s 5483(or)s 5742(more)s
6289(white)s 6876(space)s 7463(characters)s 685 11442(10-100)m 220 fnt35
2012 11439(left)m 240 fnt82 2360 11442(or)m 220 fnt35 2619 11439(r)m -3(ight)k
240 fnt82 3493 11442(user)m 4(-de\207ned)k 4729(symbols)s 844 11154(100)m
220 fnt35 2316 11151(r)m -3(ight)k 3493(@Wide)s 240 fnt82
4207 11154(,)m 220 fnt35 4314 11151(@High)m 240 fnt82 4973 11154(,)m
220 fnt35 5080 11151(@Gr)m 2(aphic)k 240 fnt82 6064 11154(,)m
6171(etc.)s 854 10866(101)m 2494(-)s 220 fnt35 3493 10863(&&)m
240 fnt82 845 10578(102)m 2011(associati)s 6(v)k 3(e)k
220 fnt35 3493 10575(&)m 240 fnt82 3695 10578(in)m 3938(the)s
4286(form)s 4810(of)s 5081(0)s 5256(spaces)s 850 10290(103)m
2494(-)s 3493(Body)s 4067(parameters)s 5165(and)s 5569(right)s
6080(parameters)s 7178(of)s 220 fnt35 7449 10287(@Open)m 240 fnt82
0 9749(Actually)m 883(the)s 1238(precedence)s 2375(of)s 2653(juxtaposition)s
3965(\(tw)s 2(o)k 4461(objects)s 5195(separated)s 6162(by)s
6462(zero)s 6933(spaces\))s 7691(is)s 7908(a)s 8080(little)s
8579(more)s 0 9461(complicated.)m 1333(If)s 1565(either)s 2170(of)s
2443(the)s 2793(tw)s 2(o)k 3205(objects)s 3934(is)s
4146(enclosed)s 5043(in)s 5288(braces,)s 6007(the)s 6357(precedence)s
7489(is)s 7701(7)s 7871(as)s 8123(for)s 8463(one)s
8867(or)s 0 9173(more)m 541(spaces.)s 1322(If)s 1545(neither)s
2262(object)s 2899(is)s 3102(enclosed)s 3991(in)s 4227(braces,)s
4937(the)s 5279(precedence)s 6403(is)s 6606(102)s 7014(as)s
7257(sho)s 6(wn)k 7927(abo)s 3(v)k 3(e.)k
8650(This)s 0 8885(complicated)m 1216(rule)s 1633(seems)s 2258(to)s
2486(accord)s 3171(better)s 3764(with)s 4235(what)s 4750(people)s
5434(e)s 3(xpect)k 6104(and)s 6498(need)s 6998(in)s
7230(practice)s 8031(than)s 8490(a)s 8645(pure)s 0 8597(precedence)m
1131(rule)s 1558(can)s 1947(do.)s 240 fnt84 0 7804(2.6.)m
471(The)s 926(style)s 1446(and)s 1887(size)s 2314(of)s
2586(objects)s 240 fnt82 480 7327(This)m 944(section)s 1666(e)s 3(xplains)k
2499(ho)s 6(w)k 2948(Lout)s 3448(determines)s 4535(the)s
4870(style)s 5365(and)s 5757(size)s 6172(of)s 6431(each)s
6914(object.)s 7650(T)s 19(ogether)k 9(,)k 8579(these)s
0 7039(attrib)m 4(utes)k 935(determine)s 1946(the)s 2294(object')s 13(s)k
3088(\207nal)s 3568(appearance)s 4699(in)s 4942(the)s 5290(output.)s
480 6665(The)m 908(style)s 1415(of)s 1686(an)s 1969(object)s
2613(comprises)s 3633(the)s 3981(follo)s 6(wing:)k 0 6162(\213)m
480(Which)s 1175(font)s 1620(f)s 2(amily)k 15(,)k
2333(f)s 2(ace)k 2784(and)s 3188(size)s 3615(to)s
3854(use)s 4229(\(also)s 4746(de\207ning)s 5584(the)s 220 fnt35
5932 6159(f)m 240 fnt82 6050 6162(unit\);)m 0 5659(\213)m 480(Whether)s
1363(small)s 1935(capitals)s 2715(are)s 3062(in)s 3305(ef)s 6(fect)k
3901(or)s 4160(not;)s 0 5156(\213)m 480(What)s 1058(g)s 1(ap)k
1456(to)s 1695(replace)s 2440(a)s 2606(single)s 3233(space)s
3820(between)s 4674(tw)s 2(o)k 5084(objects)s 5812(by)s
6106(\(also)s 6623(de\207ning)s 7461(the)s 220 fnt35 7809 5153(s)m
240 fnt82 7972 5156(unit\);)m 0 4653(\213)m 480(The)s 900(interpretation)s
2235(to)s 2465(place)s 3017(on)s 3306(white)s 3884(space)s
4463(separating)s 5490(tw)s 2(o)k 5891(objects)s 6611(\()s
220 fnt35 6684 4650(lout)m 240 fnt82 7033 4653(,)m 220 fnt35
7132 4650(compress)m 240 fnt82 8077 4653(,)m 220 fnt35 8175 4650(separ)m 2(ate)k
240 fnt82 9019 4653(,)m 220 fnt35 480 4362(troff)m 240 fnt82
855 4365(,)m 962(or)s 220 fnt35 1221 4362(te)m 6(x)k
240 fnt82 1566 4365(as)m 1816(in)s 2059(Section)s 2833(3.5\);)s
0 3871(\213)m 480(The)s 908(current)s 1644(v)s 6(alue)k
2212(of)s 2483(the)s 220 fnt35 2831 3868(y)m 240 fnt82
2999 3871(and)m 220 fnt35 3403 3868(z)m 240 fnt82 3567 3871(units)m
4083(of)s 4354(measurement)s 5688(\(Section)s 6541(3.6\);)s 0 3370(\213)m
480(The)s 908(kind)s 1392(of)s 1663(paragraph)s 2676(breaking)s
3566(to)s 3805(emplo)s 2(y)k 4575(\()s 220 fnt35
4648 3367(adjust)m 240 fnt82 5229 3370(,)m 220 fnt35 5336 3367(r)m 2(agged)k
240 fnt82 6005 3370(,)m 6112(etc.\))s 0 2867(\213)m 480(What)s
1058(g)s 1(ap)k 1456(to)s 1695(insert)s 2285(between)s
3139(the)s 3487(lines)s 3989(of)s 4260(paragraphs)s 5360(\(also)s
5877(de\207ning)s 6715(the)s 220 fnt35 7063 2864(v)m 240 fnt82
7232 2867(unit\);)m 0 2364(\213)m 480(Whether)s 1363(to)s 1602(permit)s
2285(h)s 1(yphenation)k 3525(or)s 3784(not;)s 0 1861(\213)m
480(What)s 1058(colour)s 1729(the)s 2077(object)s 2721(is)s
2931(to)s 3170(appear)s 3867(in;)s 0 1358(\213)m 480(Whether)s
220 fnt35 1363 1355(@Outline)m 240 fnt82 2332 1358(is)m 2542(in)s
2785(ef)s 6(fect;)k 0 874(\213)m 480(The)s 908(language)s
1828(of)s 2099(the)s 2447(object;)s 0 371(\213)m 480(Whether)s
220 fnt35 1363 368(@V)m 17(Adjust)k 240 fnt82 2320 371(,)m
220 fnt35 2427 368(@HAdjust)m 240 fnt82 3473 371(and)m 220 fnt35
3877 368(@P)m 26(Adjust)k 240 fnt82 4885 371(are)m 5232(in)s
5475(ef)s 6(fect.)k 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 24 30
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(24)m 240 fnt83 7257 13843(Chapter)m 8107(2.)s
8381(Details)s 240 fnt82 0 13205(The)m 423(style)s 925(of)s
1191(an)s 1468(object)s 2107(depends)s 2938(on)s 3229(where)s
3864(it)s 4051(appears)s 4827(in)s 5064(the)s 5407(\207nal)s
5882(document.)s 6984(F)s 3(or)k 7368(e)s 3(xample,)k
8277(the)s 8619(style)s 0 12917(of)m 286(a)s 467(parameter)s
1497(depends)s 2348(on)s 2661(where)s 3316(it)s 3524(is)s
3749(used;)s 4316(the)s 4679(style)s 5201(of)s 5488(a)s
5669(g)s 1(alle)k 3(y)k 6319(is)s 6544(the)s
6908(style)s 7430(of)s 7717(the)s 8080(\207rst)s 8527(tar)s 4(get)k
0 12629(that)m 415(it)s 603(attempts)s 1459(to)s 1695(attach)s
2318(itself)s 2862(to.)s 3208(Of)s 3529(course,)s 4256(the)s
4600(style)s 5103(of)s 5371(an)s 3(y)k 5764(object)s
6404(can)s 6789(be)s 7068(changed)s 7920(by)s 8210(using)s
8778(the)s 220 fnt35 0 12338(@F)m 6(ont)k 240 fnt82
652 12341(,)m 220 fnt35 759 12338(@Break)m 240 fnt82 1555 12341(,)m
220 fnt35 1662 12338(@Space)m 240 fnt82 2499 12341(,)m 220 fnt35
2606 12338(@SetColour)m 240 fnt82 3863 12341(or)m 220 fnt35 4122 12338(@SetColor)m
240 fnt82 5197 12341(,)m 220 fnt35 5304 12338(@Outline)m 240 fnt82
6213 12341(,)m 6320(and)s 220 fnt35 6724 12338(@Language)m 240 fnt82
7975 12341(symbols.)m 480 11967(There)m 1102(are)s 1459(no)s 1761(standard)s
2639(def)s 2(ault)k 3369(v)s 6(alues)k 4035(for)s
4382(style,)s 4950(e)s 3(xcept)k 5640(that)s 6068(small)s
6649(capitals)s 7439(and)s 7852(outlining)s 8779(are)s 0 11679(initially)m
800(of)s 6(f,)k 1183(the)s 1535(interpretation)s 2882(of)s
3157(white)s 3748(space)s 4339(is)s 4553(initially)s 220 fnt35
5354 11676(lout)m 240 fnt82 5703 11679(,)m 5814(and)s 6222(the)s
6574(v)s 6(alues)k 7234(of)s 7509(the)s 220 fnt35
7861 11676(y)m 240 fnt82 8033 11679(and)m 220 fnt35 8441 11676(z)m
240 fnt82 8610 11679(units)m 0 11391(are)m 355(zero.)s 939(Therefore)s
1945(one)s 2356(must)s 2890(ensure)s 3578(that)s 4005(the)s
4362(root)s 4816(g)s 1(alle)k 3(y)k 5459(or)s
5726(each)s 6230(of)s 6510(its)s 6795(components)s 8012(is)s
8231(enclosed)s 0 11103(in)m 220 fnt35 238 11100(@F)m 6(ont)k
240 fnt82 890 11103(,)m 220 fnt35 992 11100(@Break)m 240 fnt82
1788 11103(,)m 220 fnt35 1890 11100(@SetColour)m 240 fnt82 3142 11103(or)m
220 fnt35 3396 11100(@SetColor)m 240 fnt82 4471 11103(,)m 4573(and)s
220 fnt35 4972 11100(@Language)m 240 fnt82 6218 11103(symbols.)m 7175(From)s
7748(there)s 8276(the)s 8619(style)s 0 10815(is)m 206(passed)s
897(to)s 1131(incoming)s 2083(g)s 1(alle)k 3(ys)k
2802(and)s 3202(the)s 3545(objects)s 4268(within)s 4931(them.)s
5568(Enclosure)s 6576(in)s 220 fnt35 6814 10812(@Space)m 240 fnt82
7706 10815(is)m 7911(not)s 8272(required)s 0 10527(because)m 813(the)s
220 fnt35 1161 10524(s)m 240 fnt82 1324 10527(unit)m 1756(is)s
1966(also)s 2404(set)s 2729(by)s 220 fnt35 3023 10524(@F)m 6(ont)k
240 fnt82 3735 10527(\(Section)m 4588(3.5\).)s 536 10153(The)m 959(remainder)s
1983(of)s 2249(this)s 2641(section)s 3370(e)s 3(xplains)k
4210(ho)s 6(w)k 4667(the)s 5010(size)s 5433(of)s
5699(each)s 6189(object)s 6829(\(its)s 7179(width)s 7777(and)s
8176(height)s 8829(on)s 0 9865(the)m 353(printed)s 1094(page\))s
1679(is)s 1895(determined.)s 3140(W)s 19(e)k 3514(will)s
3946(treat)s 4434(width)s 5042(only)s 15(,)k 5566(since)s
6118(height)s 6782(is)s 6997(determined)s 8136(in)s 8385(e)s 3(xactly)k
0 9577(the)m 348(same)s 895(w)s 2(ay)k 15(,)k
1384(e)s 3(xcept)k 2065(that)s 2483(the)s 2831(complications)s
4223(introduced)s 5304(by)s 5598(paragraph)s 6611(breaking)s 7501(are)s
7848(absent.)s 480 9203(W)m 9(ith)k 1006(three)s 1539(e)s 3(xceptions)k
2611(\(see)s 3051(belo)s 6(w\),)k 3817(the)s 4165(width)s
4768(of)s 5039(an)s 5323(object)s 5967(is)s 6178(as)s
6428(lar)s 4(ge)k 6958(as)s 7208(it)s 7401(possibly)s
8253(could)s 8844(be)s 0 8915(without)m 784(violating)s 1679(a)s
220 fnt35 1837 8912(@Wide)m 240 fnt82 2603 8915(symbol)m 3355(or)s
3606(intruding)s 4528(into)s 4945(the)s 5285(space)s 5864(occupied)s
6778(by)s 7064(neighbouring)s 8386(g)s 1(aps)k 8867(or)s
0 8627(objects.)m 841(As)s 1158(an)s 1441(aid)s 1791(to)s
2030(in)s 9(v)k 3(estig)k 1(ating)k 3305(this)s
3701(rule,)s 4179(we)s 4514(will)s 4940(use)s 5315(the)s
5663(de\207nition)s 220 fnt35 480 8126(def @TightBo)m 6(x r)k -3(ight x)k
480 7838({)m 480 7550(  "0 0 mo)m 3(v)k 5(eto xsiz)k 3(e 0 lineto xsiz)k 3(e ysiz)k 3(e lineto 0 ysiz)k 3(e lineto closepath strok)k 4(e")k
480 7262(  @Gr)m 2(aphic x)k 480 6974(})m 240 fnt82 0 6480(which)m
657(dra)s 3(ws)k 1291(a)s 1472(box)s 1903(around)s
2641(the)s 3004(boundary)s 3978(of)s 4265(its)s 4556(right)s
5082(parameter)s 6111(\(Section)s 6980(3.38\))s 7543(with)s 8040(no)s
8349(mar)s 4(gin.)k 0 6192(The)m 428(result)s 1018(of)s
220 fnt35 480 5741(5c @Wide @TightBo)m 6(x metempsychosis)k 240 fnt82 0 5242(is)m
2835 215 0 106 240 288 60 480 4737 LoutGr2
0 0 moveto xsize 0 lineto xsize ysize lineto 0 ysize lineto closepath stroke
grestore
0 52(metempsychosis)m 
grestore
0 4286(The)m 432(widest)s 1120(that)s 220 fnt35
1542 4283(@TightBo)m 6(x metempsychosis)k 240 fnt82 4377 4286(could)m 4971(possibly)s
5827(be)s 6113(is)s 6327(\207v)s 3(e)k 6743(centimetres,)s
7954(and)s 8363(accord)s 8998(-)s 0 3998(ingly)m 552(that)s
977(is)s 1194(its)s 1477(width.)s 2193(The)s 2628(same)s
3182(applies)s 3917(to)s 220 fnt35 4163 3995(metempsychosis)m 240 fnt82
5791 3998(,)m 5905(which)s 6554(is)s 6771(\207v)s 3(e)k
7190(centimetres)s 8348(wide)s 8876(as)s 0 3710(well.)m 583(Note)s
1113(carefully)s 2024(that)s 2451(there)s 2992(is)s 3211(no)s
3513(object)s 4166(in)s 4418(this)s 4822(e)s 3(xample)k
5694(whose)s 6371(width)s 6982(is)s 7200(equal)s 7782(to)s
8030(the)s 8387(sum)s 8855(of)s 0 3422(the)m 348(widths)s
1037(of)s 1308(the)s 1656(letters)s 2289(of)s 220 fnt35
2560 3419(metempsychosis)m 240 fnt82 4188 3422(.)m 480 3048(The)m 903(\207rst)s
1329(of)s 1595(the)s 1938(three)s 2466(e)s 3(xceptions)k
3532(to)s 3766(the)s 4109(`as)s 4433(wide)s 4949(as)s
5194(possible')s 6085(rule)s 6507(is)s 6712(the)s 220 fnt35
7055 3045(@HContr)m 2(act)k 240 fnt82 8314 3048(symbol,)m 0 2760(which)m
644(causes)s 1322(the)s 1672(width)s 2277(of)s 2551(its)s
2829(right)s 3343(parameter)s 4360(to)s 4601(be)s 4886(reduced)s
5703(to)s 5945(a)s 6114(reasonable)s 7194(minimum)s 8187(\(a)s
8435(formal)s 0 2472(de\207nition)m 974(will)s 1400(not)s 1766(be)s
2048(attempted\):)s 220 fnt35 480 1971(5c @Wide @HContr)m 2(act @TightBo)k 6(x metempsychosis)k
240 fnt82 0 1472(produces)m 1572 215 0 106 240 288 60 480 917 LoutGr2
0 0 moveto xsize 0 lineto xsize ysize lineto 0 ysize lineto closepath stroke
grestore
0 52(metempsychosis)m 
grestore
0 466(The)m 482(object)s
220 fnt35 1180 463(@HContr)m 2(act @TightBo)k 6(x metempsychosis)k 240 fnt82
5334 466(is)m 5598(still)s 6064(\207v)s 3(e)k 6530(centimetres)s
7735(wide,)s 8361(b)s 4(ut)k 8778(the)s 0 178(object)m
220 fnt35 644 175(@TightBo)m 6(x metempsychosis)k 240 fnt82 3475 178(has)m
3845(been)s 4354(reduced.)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 25 31
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(2.6.)m 454(The)s 866(style)s 1356(and)s
1782(size)s 2193(of)s 2474(objects)s 240 fnt84 8833 13840(25)m
240 fnt82 480 13205(The)m 922(second)s 1659(of)s 1945(the)s
2307(three)s 2855(e)s 3(xceptions)k 3940(is)s 4165(the)s
4527(horizontal)s 5565(concatenation)s 6965(symbol)s 220 fnt35 7739 13202(|)m
240 fnt82 7851 13205(\(and)m 8348(also)s 220 fnt35 8801 13202(&)m
240 fnt82 8943 13205(\).)m 0 12917(Consider)m 924(this)s 1320(e)s 3(xample:)k
220 fnt35 480 12416(5c @Wide @TightBo)m 6(x { A  |1c  B  |1c  C })k 240 fnt82 0 11917(As)m
317(usual,)s 929(the)s 1277(right)s 1788(parameter)s 2802(of)s
220 fnt35 3073 11914(@Wide)m 240 fnt82 3847 11917(is)m 4057(\207v)s 3(e)k
4469(centimetres)s 5620(wide,)s 6192(and)s 6596(the)s 6944(result)s
7534(looks)s 8104(lik)s 2(e)k 8516(this:)s 2835 165 0 57 240 288 60 480 11412 LoutGr2
0 0 moveto xsize 0 lineto xsize ysize lineto 0 ysize lineto closepath stroke
grestore
0 3(A)m
737(B)s 1447(C)s 
grestore
0 10961(Lout)m 512(has)s 882(to)s
1121(apportion)s 2095(the)s 2443(size)s 2870(minus)s 3506(inter)s 4(-column)k
4793(g)s 1(aps)k 5282(among)s 5987(the)s 6335(three)s
6868(columns.)s 480 10587(If)m 707(the)s 1052(columns)s 1911(are)s
2255(wide)s 2772(enough)s 3532(to)s 3768(require)s 4497(paragraph)s
5507(breaking,)s 6447(Lout)s 6956(will)s 7379(assign)s 8031(sizes)s
8543(to)s 8778(the)s 0 10299(columns)m 864(in)s 1110(such)s
1609(a)s 1778(w)s 2(ay)k 2232(as)s 2484(to)s
2726(lea)s 4(v)k 3(e)k 3282(narro)s 6(w)k
4010(columns)s 4875(unbrok)s 2(en)k 5837(and)s 6244(break)s
6839(wider)s 7446(columns)s 8311(to)s 8553(equal)s 0 10011(width,)m
652(occup)s 2(ying)k 1702(the)s 2051(full)s 2438(size.)s
2974(Otherwise,)s 4064(paragraph)s 5077(breaking)s 5968(is)s 6179(not)s
6546(required,)s 7450(and)s 7855(each)s 8351(column)s 0 9723(will)m
431(be)s 719(assigned)s 1607(a)s 1779(reasonable)s 2863(minimum)s
3858(size)s 4291(in)s 4540(the)s 4894(manner)s 5677(of)s
220 fnt35 5953 9720(@HContr)m 2(act)k 240 fnt82 7157 9723(,)m
7270(e)s 3(xcept)k 7957(that)s 8381(the)s 8735(last)s
0 9435(column)m 775(recei)s 6(v)k 3(es)k 1599(all)s
1892(the)s 2240(lefto)s 3(v)k 3(er)k 3036(width.)s
3745(F)s 3(or)k 4134(e)s 3(xample,)k 220 fnt35
480 8934(5c @Wide { @TightBo)m 6(x A  |1c  @TightBo)k 6(x B  |1c  @TightBo)k 6(x C })k 240 fnt82
0 8435(has)m 370(result)s 170 165 0 57 240 288 60 480 7980 LoutGr2
0 0 moveto xsize 0 lineto xsize ysize lineto 0 ysize lineto closepath stroke
grestore
0 3(A)m 
grestore
143 165 0 57 240 288 60 1217 7980 LoutGr2
0 0 moveto xsize 0 lineto xsize ysize lineto 0 ysize lineto closepath stroke
grestore
0 3(B)m 
grestore
1388 165 0 57 240 288 60 1927 7980 LoutGr2
0 0 moveto xsize 0 lineto xsize ysize lineto 0 ysize lineto closepath stroke
grestore
0 3(C)m

grestore
0 7529(If)m 237(it)s 436(is)s 653(desired)s 1408(that)s
1833(the)s 2188(lefto)s 3(v)k 3(er)k 2991(width)s
3600(remain)s 4327(unused,)s 5120(rather)s 5743(than)s 6219(going)s
6825(into)s 7257(the)s 7612(last)s 8010(column,)s 8843(an)s
0 7241(empty)m 654(column)s 1431(can)s 1822(be)s 2106(appended,)s
3133(or)s 3394(the)s 3744(last)s 4137(column)s 4914(can)s
5305(be)s 5589(enclosed)s 6486(in)s 220 fnt35 6731 7238(@HContr)m 2(act)k
240 fnt82 7935 7241(.)m 8101(T)s 19(w)k 2(o)k
8575(other)s 0 6953(w)m 2(ays)k 560(to)s 819(apportion)s
1813(the)s 2181(lefto)s 3(v)k 3(er)k 2997(width)s
3619(are)s 3986(pro)s 3(vided)k 4912(by)s 5226(the)s
220 fnt35 5594 6950(@HExpand)m 240 fnt82 6787 6953(and)m 220 fnt35
7211 6950(@HAdjust)m 240 fnt82 8277 6953(symbols)m 0 6665(\(Sections)m 940(3.13)s
1404(and)s 1808(3.16\).)s 480 6291(The)m 914(third)s 1430(and)s
1841(\207nal)s 2328(e)s 3(xception)k 3319(to)s 3565(the)s
3920(`as)s 4255(wide)s 4783(as)s 5040(possible')s 5943(rule)s
6377(concerns)s 7285(the)s 7640(components)s 8855(of)s 0 6003(the)m
348(root)s 793(g)s 1(alle)k 3(y)k 15(.)k
1522(Each)s 2057(is)s 2267(considered)s 3361(to)s 3600(be)s
3882(enclosed)s 4777(in)s 220 fnt35 5020 6000(@HContr)m 2(act)k
240 fnt82 6284 6003(and)m 220 fnt35 6688 6000(@VContr)m 2(act)k
240 fnt82 7940 6003(symbols.)m 480 5629(Up)m 836(to)s 1086(this)s
1493(point)s 2056(we)s 2401(ha)s 4(v)k 3(e)k
2913(treated)s 3631(width)s 4244(as)s 4505(a)s 4681(single)s
5319(quantity)s 15(,)k 6206(b)s 4(ut)k 6579(of)s
6860(course)s 7551(it)s 7754(has)s 8135(tw)s 2(o)k
8556(parts:)s 0 5341(width)m 602(to)s 841(left)s 1218(and)s
1622(right)s 2133(of)s 2404(the)s 2752(mark.)s 3407(The)s
3835(`as)s 4164(wide)s 4685(as)s 4935(possible')s 5831(rule)s
6258(applies)s 6986(to)s 7225(both)s 7708(directions:)s 220 fnt35
480 4840(@HContr)m 2(act { @TightBo)k 6(x 953^.05 /0.5c @TightBo)k 6(x 2^.8286 })k 240 fnt82
0 4341(has)m 370(result)s 877 170 344 59 240 288 60 480 3881 LoutGr2
0 0 moveto xsize 0 lineto xsize ysize lineto 0 ysize lineto closepath stroke
grestore
0 5(953)m 344(.05)s 
grestore
877 167 344 57 240 288 60 480 3431 LoutGr2
0 0 moveto xsize 0 lineto xsize ysize lineto 0 ysize lineto closepath stroke
grestore
230 3(2)m
344(.8286)s 
grestore
0 2980(Lefto)m 3(v)k 3(er)k 868(width)s
1461(usually)s 2197(goes)s 2678(to)s 2908(the)s 3247(right,)s
3796(as)s 4037(we)s 4364(ha)s 4(v)k 3(e)k
4856(seen,)s 5379(b)s 4(ut)k 5732(here)s 6190(some)s
6742(width)s 7335(w)s 2(as)k 7747(a)s 4(v)k 6(ailable)k
8646(only)s 0 2692(to)m 239(the)s 587(left)s 964(of)s
220 fnt35 1235 2689(2.8286)m 240 fnt82 1958 2692(o)m 6(wing)k
2604(to)s 2843(the)s 3191(column)s 3966(mark)s 4518(alignment.)s
240 fnt84 0 1899(2.7.)m 471(Galleys)s 1282(and)s 1723(tar)s 2(gets)k
240 fnt82 480 1422(The)m 909(beha)s 4(viour)k 1924(of)s
2197(g)s 1(alle)k 3(ys)k 2923(and)s 3328(their)s
3827(tar)s 4(gets,)k 4568(as)s 4820(described)s 5796(in)s
6040(Section)s 6816(1.4,)s 7225(can)s 7616(be)s 7900(summarized)s
0 1134(in)m 243(three)s 776(la)s 3(ws:)k 240 fnt83
0 682(F)m 10(ir)k 2(st)k 540(Law)s 240 fnt82
949 680(:)m 1139(The)s 1592(\207rst)s 2047(tar)s 4(get)k
2671(is)s 2905(the)s 3278(closest)s 4012(in)s 9(v)k 4(ocation)k
5091(of)s 5386(the)s 5759(tar)s 4(get)k 6382(symbol,)s
7219(either)s 7846(preceding)s 8867(or)s 0 392(follo)m 6(wing)k
972(the)s 1315(in)s 9(v)k 4(ocation)k 2363(point)s
2910(of)s 3175(the)s 3518(g)s 1(alle)k 3(y)k
4146(as)s 4391(required,)s 5288(which)s 5925(has)s 6289(suf\207cient)s
7233(space)s 7814(to)s 8048(recei)s 6(v)k 3(e)k
8778(the)s 0 104(\207rst)m 431(component;)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 26 32
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(26)m 240 fnt83 7257 13843(Chapter)m 8107(2.)s
8381(Details)s 0 13205(Second)m 773(Law)s 240 fnt82 1182 13203(:)m
1364(Each)s 1915(subsequent)s 3055(tar)s 4(get)k 3670(is)s
3896(the)s 4259(closest)s 4985(in)s 9(v)k 4(ocation)k
6055(of)s 6342(the)s 6706(tar)s 4(get)k 7321(symbol,)s
8149(follo)s 6(wing)k 0 12915(the)m 337(pre)s 6(vious)k
1195(tar)s 4(get)k 1783(and)s 2176(lying)s 2710(within)s
3367(the)s 3704(same)s 4240(g)s 1(alle)k 3(y)k 15(,)k
4901(which)s 5532(has)s 5891(suf\207cient)s 6829(space)s 7405(to)s
7633(recei)s 6(v)k 3(e)k 8358(the)s 8695(\207rst)s
0 12627(remaining)m 1022(component;)s 240 fnt83 0 12124(Thir)m 8(d)k
607(Law)s 240 fnt82 1016 12122(:)m 1199(A)s 1446(recepti)s 6(v)k 3(e)k
2385(symbol)s 3162(that)s 3597(does)s 4104(not)s 4487(recei)s 6(v)k 3(e)k
5240(at)s 5489(least)s 6003(one)s 6422(component)s 7563(of)s
7851(an)s 3(y)k 8265(g)s 1(alle)k 3(y)k
8916(is)s 0 11834(replaced)m 867(by)s 220 fnt35 1161 11831(@Null)m
240 fnt82 1746 11834(.)m 0 11331(The)m 436(terms)s 1025(`closest,)s 16(')k
1918(`preceding,)s 16(')k 3104(and)s 3516(`follo)s 6(wing')k
4639(refer)s 5156(to)s 5403(position)s 6239(in)s 6490(the)s
6846(\207nal)s 7334(printed)s 8078(document.)s 0 11043(This)m 476(section)s
1210(e)s 3(xplains)k 2055(the)s 2403(operation)s 3363(of)s
3634(these)s 4181(la)s 3(ws)k 4667(in)s 4910(Basser)s
5607(Lout.)s 480 10669(When)m 1100(a)s 1257(g)s 1(alle)k 3(y)k
1881(cannot)s 2570(be)s 2843(\207tted)s 3382(into)s 3798(just)s
4194(one)s 4586(tar)s 4(get,)k 5223(Lout)s 5726(must)s
6241(\207nd)s 6663(points)s 7290(in)s 7523(the)s 7862(g)s 1(alle)k 3(y)k
8486(where)s 0 10381(it)m 191(can)s 579(be)s 860(split)s
1330(in)s 1572(tw)s 2(o.)k 2091(The)s 2518(object)s
3161(lying)s 3705(between)s 4558(tw)s 2(o)k 4966(neighbouring)s
6295(potential)s 7185(split)s 7655(points)s 8290(is)s 8498(called)s
0 10093(a)m 240 fnt83 166 10095(component)m 240 fnt82 1281 10093(of)m
1552(the)s 1900(g)s 1(alle)k 3(y)k 15(.)k
2629(By)s 2963(de\207nition,)s 3987(a)s 4153(component)s 5277(cannot)s
5975(be)s 6257(split.)s 480 9719(T)m 19(o)k 813(determine)s
1857(the)s 2239(components)s 3480(of)s 3785(a)s 3984(g)s 1(alle)k 3(y)k 15(,)k
4690(e)s 3(xpand)k 5470(all)s 5797(symbols)s 6679(other)s
7264(than)s 7766(recursi)s 6(v)k 3(e)k 8722(and)s
0 9431(recepti)m 6(v)k 3(e)k 909(ones,)s 1442(discard)s
2177(all)s 220 fnt35 2457 9428(@F)m 6(ont)k 240 fnt82
3109 9431(,)m 220 fnt35 3203 9428(@Break)m 240 fnt82 3999 9431(,)m
220 fnt35 4093 9428(@Space)m 240 fnt82 4930 9431(,)m 220 fnt35
5024 9428(@SetColor)m 240 fnt82 6099 9431(,)m 220 fnt35 6193 9428(@SetColour)m
240 fnt82 7390 9431(,)m 7484(and)s 220 fnt35 7875 9428(@Language)m
240 fnt82 0 9143(symbols,)m 908(perform)s 1740(paragraph)s 2756(breaking)s
3649(as)s 3902(required,)s 4809(and)s 5216(discard)s 5967(all)s
6263(redundant)s 7283(braces.)s 8060(Then)s 8613(vie)s 6(w)k
0 8855(the)m 367(g)s 1(alle)k 3(y)k 1020(as)s
1290(a)s 1475(sequence)s 2428(of)s 2718(one)s 3140(or)s
3418(more)s 3984(objects)s 4732(separated)s 5711(by)s 6025(v)s 3(ertical)k
6811(concatenation)s 8216(symbols;)s 0 8567(these)m 567(are)s 935(the)s
1304(components)s 2533(and)s 2958(split)s 3450(points,)s 4163(e)s 3(xcept)k
4865(that)s 5304(concatenation)s 6710(symbols)s 7580(whose)s 8269(g)s 1(aps)k
8779(are)s 0 8279(unbreakable)m 1225(\(Section)s 2078(3.2\))s 2506(are)s
2853(not)s 3219(eligible)s 3991(to)s 4230(be)s 4512(split)s
4983(points.)s 5732(F)s 3(or)k 6121(e)s 3(xample,)k
7035(gi)s 6(v)k 3(en)k 7615(the)s 7963(de\207nition)s
220 fnt35 480 7778(def @Section into { @SectionPlace&&preceding })m 480 7490(    named @Title {})m 480 7202(    r)m -3(ight @Body)k
480 6914({)m 480 6626(    15p @F)m 6(ont { @Title //0.7f })k 480 6338(    //)m 480 6050(    @Body)m
480 5762(})m 240 fnt82 0 5268(the)m 348(g)s 1(alle)k 3(y)k
220 fnt35 480 4767(@Section)m 480 4479(    @Title { Introduction })m 480 4191({ )m 11(This is a subject that really)k
480 3903(needs no introduction.)m 13( })k 240 fnt82 0 3409(becomes)m 220 fnt35
480 2962(Introduction)m 480 2674(//0.7f)m 480 2386({})m 480 2098(//)m 480 1810(This is a subject that really needs)m
480 1522(//1vx)m 480 1234(no introduction.)m 240 fnt82 0 780(with)m 482(four)s
939(components.)s 2260(If)s 220 fnt35 2489 777(@Body)m 240 fnt82
3269 780(had)m 3673(been)s 4181(preceded)s 5102(by)s 220 fnt35
5395 777(|1.0c)m 240 fnt82 5921 780(in)m 6164(the)s 6511(de\207nition,)s
7535(the)s 7882(result)s 8471(w)s 2(ould)k 0 492(ha)m 4(v)k 3(e)k
501(been)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 27 33
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
%%+ font Symbol
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(2.7.)m 454(Galle)s 7(ys)k 1232(and)s
1658(tar)s 8(g)k 2(ets)k 240 fnt84 8831 13840(27)m
220 fnt35 480 13211(Introduction)m 480 12923(//0.7f)m 480 12635({})m 480 12347(//)m
480 12059(|1.0c { )m 11(This is a subject that really needs //1vx no introduction.)k 13( })k 240 fnt82 0 11561(with)m
220 fnt35 524 11558(//1vx)m 240 fnt82 1089 11561(b)m 4(uried)k
1796(within)s 2507(one)s 2951(component)s 4118(and)s 4564(hence)s
5221(not)s 5629(a)s 5838(potential)s 6771(split)s 7285(point.)s
7983(If)s 220 fnt35 8256 11558(0.7f)m 240 fnt82 8722 11561(had)m
0 11273(been)m 220 fnt35 525 11270(0.7fu)m 240 fnt82 999 11273(,)m
1123(the)s 1488(g)s 1(ap)k 1903(w)s 2(ould)k
2575(ha)s 4(v)k 3(e)k 3092(been)s 3618(unbreakable)s
4860(and)s 220 fnt35 5281 11270(//0.7fu)m 240 fnt82 5954 11273(w)m 2(ould)k
6625(not)s 7008(ha)s 4(v)k 3(e)k 7526(been)s
8052(a)s 8235(potential)s 0 10985(split)m 471(point.)s 480 10611(V)m 26(ersion)k
1310(3.03)s 1816(has)s 2228(liberalized)s 3335(this)s 3773(some)s 6(what)k
4840(in)s 5125(the)s 5515(follo)s 6(wing)k 6534(w)s 2(ay)k 15(.)k
7122(When)s 7793(a)s 8002(component)s 0 10323(consists)m 808(of)s
1080(a)s 1247(horizontal)s 2271(sequence)s 3205(of)s 3477(tw)s 2(o)k
3887(or)s 4147(more)s 4695(objects)s 240 fnt83 5423 10325(A)m
168 fnt78 5558 10232(1)m 240 fnt78 5637 10317(,)m 5746(\274)s
6046(,)s 240 fnt83 6155 10325(A)m 168 fnt83 6290 10238(n)m
240 fnt82 6431 10323(separated)m 7391(by)s 220 fnt35 7686 10320(|)m
240 fnt82 7784 10323(\(not)m 220 fnt35 8229 10320(||)m 240 fnt82
8323 10323(,)m 8431(not)s 220 fnt35 8798 10320(&)m 240 fnt82
8940 10323(\),)m 0 10035(Lout)m 506(will)s 926(in)s 9(v)k 3(estig)k 1(ate)k
1998(the)s 2339(component)s 3457(to)s 3690(see)s 4044(whether)s
4868(it)s 5054(can)s 5436(be)s 5712(brok)s 2(en)k
6426(up.)s 6823(It)s 7022(looks)s 7586(at)s 7811(each)s
240 fnt83 8300 10037(A)m 168 fnt83 8435 9950(i)m 240 fnt82
8533 10035(to)m 8765(see)s 0 9747(whether)m 830(it)s 1023(is)s
1234(a)s 1401(v)s 3(ertical)k 2169(concatenation)s 3555(of)s
3827(objects)s 240 fnt83 4556 9749(A)m 168 fnt83 4691 9662(i)m
168 fnt78 4743 9656(1)m 240 fnt78 4822 9741(,)m 4932(\274)s
5232(,)s 240 fnt83 5342 9749(A)m 168 fnt83 5477 9662(im)m
240 fnt82 5641 9747(;)m 5754(if)s 5972(tw)s 2(o)k
6383(or)s 6643(more)s 7191(of)s 7463(the)s 240 fnt83
7812 9749(A)m 168 fnt83 7947 9662(i)m 240 fnt82 8052 9747(satisfy)m
8730(this)s 0 9459(condition,)m 1009(the)s 1354(component)s 2475(will)s
2898(not)s 3262(be)s 3541(brok)s 2(en)k 4258(up.)s
4659(So)s 4962(no)s 6(w)k 5421(suppose)s 6246(we)s
6578(ha)s 4(v)k 3(e)k 7076(just)s 7479(one)s
240 fnt83 7878 9461(A)m 168 fnt83 8013 9374(i)m 240 fnt82
8114 9459(which)m 8753(is)s 8960(a)s 0 9171(v)m 3(ertical)k
757(concatenation.)s 2239(Lout)s 2741(will)s 3156(break)s 3738(the)s
4076(component)s 5189(into)s 5604(one)s 5996(component)s 7109(for)s
7437(each)s 7922(of)s 8182(the)s 240 fnt83 8520 9173(A)m
168 fnt83 8655 9086(i)m 168 fnt78 8707 9080(1)m 240 fnt78
8775 9165(,)m 8851(\274)s 3 8877(,)m 240 fnt83 80 8885(A)m
168 fnt83 215 8798(im)m 240 fnt82 379 8883(,)m 476(pro)s 3(vided)k
1373(that)s 1781(the)s 3(y)k 2234(are)s 2571(separated)s
3521(by)s 220 fnt35 3806 8880(//)m 240 fnt82 3981 8883(symbols)m
4820(\(not)s 220 fnt35 5255 8880(/)m 240 fnt82 5319 8883(\),)m
5495(and)s 5890(pro)s 3(vided)k 6786(this)s 7172(can)s
7551(be)s 7823(done)s 8335(without)s 0 8595(introducing)m 1155(an)s 3(y)k
1550(apparent)s 2431(change)s 3164(into)s 3587(the)s 3933(appearance)s
5062(of)s 5332(the)s 5678(component)s 6800(\(this)s 7274(second)s
7995(rule)s 8420(will)s 8844(be)s 0 8307(satis\207ed)m 847(if)s
1071(the)s 1426(other)s 240 fnt83 1984 8309(A)m 168 fnt83
2119 8222(j)m 240 fnt82 2232 8307(are)m 2586(not)s 2959(v)s 3(ery)k
3442(lar)s 4(ge\).)k 4165(The)s 4600(e)s 3(xample)k
5470(abo)s 3(v)k 3(e)k 6099(satis\207es)s 6913(all)s
7213(these)s 7767(rules)s 8289(and)s 8700(will)s 0 7996(be)m
282(brok)s 2(en)k 1002(up)s 1295(into)s 1720(tw)s 2(o)k
2130(components,)s 3394(so)s 3660(the)s 220 fnt35 4008 7993(//1vx)m
240 fnt82 4530 7996(becomes)m 5418(a)s 5584(potential)s 6475(split)s
6946(point)s 7498(after)s 7994(all.)s 480 7622(The)m 913(lines)s
1421(of)s 1697(a)s 1869(paragraph)s 2887(become)s 3693(separate)s
4536(components)s 5750(if)s 5972(the)s 6326(paragraph)s 7344(occupies)s
8238(an)s 8527(entire)s 0 7334(component)m 1151(before)s 1844(breaking;)s
2820(otherwise)s 3833(the)s 3(y)k 4323(are)s 4697(enclosed)s
5619(in)s 5890(a)s 220 fnt35 6083 7331(@OneRo)m 3(w)k
240 fnt82 7241 7334(symbol)m 8028(within)s 8724(one)s 0 7046(component.)m
1237(The)s 1675(same)s 2232(is)s 2452(true)s 2888(of)s
3169(incoming)s 4136(components)s 5354(of)s 5635(other)s 6195(g)s 1(alle)k 3(ys.)k
7042(If)s 7282(a)s 220 fnt35 7458 7043(@Galle)m 4(y)k
240 fnt82 8366 7046(symbol)m 0 6758(occupies)m 892(an)s 1180(entire)s
1783(component)s 2912(by)s 3211(the)s 3563(rules)s 4083(abo)s 3(v)k 3(e,)k
4761(then)s 5234(the)s 5587(incoming)s 6549(components)s 7761(that)s
8184(replace)s 8934(it)s 0 6470(become)m 800(components)s 2008(of)s
2279(their)s 2776(ne)s 6(w)k 3223(home:)s 220 fnt35
480 5916(An e)m 6(xample)k 480 5628(//0.5c)m 480 5340(@Galle)m 4(y)k
480 5052(//0.5c)m 480 4764(@SomethingList)m 240 fnt78 2500 5625(\336)m 220 fnt35
3141 5916(An e)m 6(xample)k 3141 5628(//0.5c)m 3141 5340(Incoming components)m 3141 5052(//0.2c)m
3141 4764(from some other galle)m 4(y)k 3141 4476(//0.5c)m 3141 4188(@SomethingList)m 240 fnt82
0 3632(Otherwise)m 1062(the)s 1435(incoming)s 2416(components)s 3649(are)s
4020(grouped)s 4888(within)s 5580(a)s 220 fnt35 5771 3629(@OneRo)m 3(w)k
240 fnt82 6926 3632(symbol)m 7711(and)s 8139(lie)s 8458(within)s
0 3344(one)m 402(component.)s 480 2970(This)m 985(distinction)s 2080(has)s
2480(a)s 2675(mark)s 2(ed)k 3477(ef)s 6(fect)k
4103(on)s 4429(the)s 4806(v)s 3(ertical)k 5603(concatenation)s
7017(symbol)s 220 fnt35 7806 2967(//1.1b)m 240 fnt82 8347 2970(,)m
8484(which)s 0 2682(calls)m 509(for)s 868(more)s 1436(space)s
2045(than)s 2535(is)s 2766(a)s 4(v)k 6(ailable)k
3695(\(Section)s 4570(3.2\).)s 5134(There)s 5768(is)s 5999(no)s
6314(room)s 6900(for)s 7259(this)s 7676(symbol)s 8458(within)s
0 2394(an)m 3(y)k 402(component,)s 1579(so)s 1851(it)s
2049(will)s 2481(force)s 3033(a)s 3205(split)s 3682(and)s
4092(be)s 4379(discarded)s 5359(in)s 5608(that)s 6032(case.)s
6613(But)s 7025(it)s 7223(can)s 7618(be)s 7906(promoted)s
8887(to)s 0 2106(between)m 854(tw)s 2(o)k 1264(components.)s
480 1732(Components)m 1749(may)s 2223(be)s 2513(separated)s 3481(by)s
220 fnt35 3783 1729(/)m 240 fnt82 3914 1732(as)m 4172(well)s
4646(as)s 4904(by)s 220 fnt35 5206 1729(//)m 240 fnt82
5331 1732(,)m 5445(gi)s 6(ving)k 6112(rise)s 6520(to)s
6767(column)s 7550(mark)s 8110(alignment)s 0 1444(between)m 854(adjacent)s
1710(components:)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 28 34
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(28)m 240 fnt83 7257 13843(Chapter)m 8107(2.)s
8381(Details)s gsave
480 12008 translate
240 fnt82 1701 1360 567 1360 240 288 60 LoutGraphic
gsave
grestore save gsave 200 dict begin lfigdict begin
grestore
1701 1360 567 1360 240 288 60 0 0 LoutGr2

0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigdashed [ xmark -0.3 cm
xmark ysize 0 0.3 cm lfigpadd ] lfigdopath
pop pop
grestore
1134 340 567 340 240 288 60 0 1020 LoutGr2
0 0 moveto xsize 0 lineto xsize ysize lineto 0 ysize lineto closepath 0.8 setgray fill
grestore

grestore
1134 340 0 340 240 288 60 567 510 LoutGr2
0 0 moveto xsize 0 lineto xsize ysize lineto 0 ysize lineto closepath 0.8 setgray fill
grestore

grestore
736 340 283 340 240 288 60 284 0 LoutGr2
0 0 moveto xsize 0 lineto xsize ysize lineto 0 ysize lineto closepath 0.8 setgray fill
grestore

grestore

grestore
end end restore
grestore
240 fnt82 0 11557(When)m 688(aligned)s 1509(components)s
2777(are)s 3183(promoted)s 4218(into)s 4702(dif)s 6(ferent)k
5637(tar)s 4(gets,)k 6435(the)s 6843(meaning)s 7779(of)s
8110(alignment)s 0 11269(becomes)m 882(v)s 3(ery)k 1351(doubtful.)s
2319(F)s 3(or)k 2702(e)s 3(xample,)k 3609(what)s
4127(if)s 4338(the)s 4679(tar)s 4(gets)k 5355(are)s
5696(in)s 5932(dif)s 6(ferent)k 6800(columns)s 7656(of)s
7920(one)s 8315(page,)s 8867(or)s 0 10981(what)m 525(if)s
742(one)s 1144(lies)s 1526(within)s 220 fnt35 2194 10978(90d @Rotate)m
240 fnt82 3482 10981(?)m 480 10607(The)m 908(truth)s 1416(is)s
1626(that)s 220 fnt35 2044 10604(/)m 240 fnt82 2168 10607(causes)m
2843(all)s 3136(the)s 3484(objects)s 4212(that)s 4630(share)s
5190(a)s 5356(mark)s 5908(to)s 6147(ha)s 4(v)k 3(e)k
6648(equal)s 7221(width:)s 1701 1360 567 1360 240 288 60 480 8907 LoutGr2
grestore save gsave 200 dict begin lfigdict begin
grestore
1701 1360 567 1360 240 288 60 0 0 LoutGr2

0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigdashed [ xmark -0.3 cm
xmark ysize 0 0.3 cm lfigpadd ] lfigdopath
pop pop
grestore
1701 340 567 340 240 288 60 0 1020 LoutGr2
0 0 moveto xsize 0 lineto xsize ysize lineto 0 ysize lineto closepath stroke
grestore
1134 340 567 340 240 288 60 0 0 LoutGr2
0 0 moveto xsize 0 lineto xsize ysize lineto 0 ysize lineto closepath 0.8 setgray fill
grestore

grestore

grestore
1701 340 567 340 240 288 60 0 510 LoutGr2
0 0 moveto xsize 0 lineto xsize ysize lineto 0 ysize lineto closepath stroke
grestore
1134 340 0 340 240 288 60 567 0 LoutGr2
0 0 moveto xsize 0 lineto xsize ysize lineto 0 ysize lineto closepath 0.8 setgray fill
grestore

grestore

grestore
1701 340 567 340 240 288 60 0 0 LoutGr2
0 0 moveto xsize 0 lineto xsize ysize lineto 0 ysize lineto closepath stroke
grestore
736 340 283 340 240 288 60 284 0 LoutGr2
0 0 moveto xsize 0 lineto xsize ysize lineto 0 ysize lineto closepath 0.8 setgray fill
grestore

grestore

grestore

grestore
end end restore
grestore
0 8455(This)m 495(is)s 724(a)s
909(consequence)s 2207(of)s 2497(the)s 2864(`as)s 3212(wide)s
3753(as)s 4022(possible')s 4937(rule)s 5383(\(Section)s 6255(2.6\).)s
6817(Mark)s 7415(alignment)s 8451(occurs)s 240 fnt83 0 8169(incidentally)m
240 fnt82 1124 8167(,)m 1231(whene)s 6(v)k 3(er)k
2212(the)s 2560(fragments)s 3566(are)s 3913(placed)s 4595(into)s
5020(similar)s 5742(conte)s 3(xts.)k 480 7793(In)m 723(this)s
1106(connection)s 2200(we)s 2521(must)s 3033(also)s 3458(consider)s
4315(the)s 4649(special)s 5354(case)s 5808(of)s 6066(a)s
220 fnt35 6218 7790(@Galle)m 4(y)k 240 fnt82 7103 7793(symbol)m
7850(which)s 8478(shares)s 0 7505(its)m 276(column)s 1051(mark)s
1603(with)s 2085(some)s 2646(other)s 3197(object:)s 220 fnt35
480 7004(@Galle)m 4(y)k 480 6716(/0.2c)m 480 6428(@SomethingList)m 240 fnt82
0 5929(\(The)m 220 fnt35 501 5926(@Galle)m 4(y)k 240 fnt82
1392 5929(may)m 1851(or)s 2104(may)s 2563(not)s 2922(occup)s 2(y)k
3660(an)s 3936(entire)s 4528(component;)s 5698(that)s 6109(doesn')s 4(t)k
6862(matter)s 7525(here.\))s 8177(If)s 8400(incom)s 8998(-)s
0 5641(ing)m 355(components)s 1559(are)s 1901(separated)s 2857(by)s
220 fnt35 3147 5638(//)m 240 fnt82 3327 5641(rather)m 3939(than)s
4404(by)s 220 fnt35 4693 5638(/)m 240 fnt82 4757 5641(,)m
4860(the)s 5204(meaning)s 6076(is)s 6282(so)s 6544(doubtful)s
7405(that)s 7819(this)s 8211(is)s 8416(forbid)s 8998(-)s
0 5353(den.)m 496(In)s 738(f)s 2(act,)k 1186(a)s
1337(g)s 1(alle)k 3(y)k 1957(whose)s 2611(components)s
3804(replace)s 4535(such)s 5017(a)s 220 fnt35 5168 5350(@Galle)m 4(y)k
240 fnt82 6052 5353(must)m 6563(ha)s 4(v)k 3(e)k
7049(a)s 7201(single)s 7814(column)s 8574(mark)s 0 5065(running)m
783(its)s 1043(full)s 1413(length;)s 2108(that)s 2510(is,)s
2760(its)s 3021(components)s 4213(must)s 4722(all)s 4999(share)s
5544(a)s 5694(single)s 6305(column)s 7065(mark.)s 7704(This)s
8164(mark)s 8700(will)s 0 4777(be)m 281(mer)s 4(ged)k
1050(with)s 1530(the)s 1876(column)s 2649(mark)s 3199(passing)s
3969(through)s 4769(each)s 220 fnt35 5262 4774(@Galle)m 4(y)k
240 fnt82 6158 4777(that)m 6574(these)s 7119(components)s 8325(replace;)s
0 4489(all)m 293(the)s 641(objects)s 1369(on)s 1666(the)s
2014(resulting)s 2903(mer)s 4(ged)k 3674(mark)s 4226(will)s
4652(ha)s 4(v)k 3(e)k 5153(equal)s 5726(width.)s
480 4115(The)m 906(root)s 1348(g)s 1(alle)k 3(y)k 15(,)k
2018(where)s 2655(e)s 6(v)k 3(erything)k 3720(collects)s
4497(immediately)s 5742(prior)s 6264(to)s 6500(output,)s 7217(is)s
7424(created)s 8168(automati)s 8998(-)s 0 3827(cally)m 15(,)k
556(not)s 921(by)s 1214(a)s 1379(de\207nition.)s 2459(Its)s
2747(tar)s 4(get)k 3346(is)s 3555(the)s 3902(output)s
4573(\207le,)s 4984(and)s 5387(its)s 5663(object)s 6306(is)s
6515(the)s 6862(entire)s 7460(input,)s 8058(which)s 8699(typ)s
8998(-)s 0 3539(ically)m 584(looks)s 1154(lik)s 2(e)k
1566(this:)s 220 fnt35 480 3038(@P)m 8(ageList)k 480 2750(//)m
480 2462(@T)m 26(e)k 6(xt {)k 480 2174(  Body te)m 6(xt of the document ...)k
480 1886(})m 240 fnt82 0 1392(where)m 220 fnt35 639 1389(@P)m 8(ageList)k
240 fnt82 1761 1392(e)m 3(xpands)k 2592(to)s 2830(a)s
2994(sequence)s 3925(of)s 4195(pages)s 4789(containing)s 220 fnt35
5850 1389(@T)m 26(e)k 6(xtPlace)k 240 fnt82 7067 1392(symbols)m
7914(\(see)s 8352(Section)s 0 1104(1.2\),)m 486(and)s 220 fnt35
890 1101(@T)m 26(e)k 6(xt)k 240 fnt82 1564 1104(is)m
1774(a)s 1940(g)s 1(alle)k 3(y:)k 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 29 35
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(2.7.)m 454(Galle)s 7(ys)k 1232(and)s
1658(tar)s 8(g)k 2(ets)k 240 fnt84 8832 13840(29)m
220 fnt35 480 13207(def @T)m 26(e)k 6(xtPlace { @Galle)k 4(y })k
480 12631(def @T)m 26(e)k 6(xt into { @T)k 26(e)k 6(xtPlace&&preceding })k
480 12343(    r)m -3(ight x)k 480 12055({)m 480 11767(    x)m 480 11479(})m
240 fnt82 0 10985(The)m 428(spot)s 886(v)s 6(acated)k
1668(by)s 1961(a)s 2127(g)s 1(alle)k 3(y)k
2760(\211)s 2940(its)s 3215(in)s 9(v)k 4(ocation)k
4268(point)s 4820(\211)s 4999(becomes)s 5887(a)s 220 fnt35
6052 10982(@Null)m 240 fnt82 6697 10985(object,)m 7387(so)s 7653(this)s
8048(root)s 8492(g)s 1(alle)k 3(y)k 0 10697(is)m
210(ef)s 6(fecti)k 6(v)k 3(ely)k 220 fnt35
1269 10694(@P)m 8(ageList)k 240 fnt82 2393 10697(alone,)m 3018(as)s
3269(required.)s 4229(The)s 220 fnt35 4657 10694(@T)m 26(e)k 6(xt)k
240 fnt82 5331 10697(g)m 1(alle)k 3(y)k 5965(will)s
6392(\207nd)s 6823(its)s 7099(\207rst)s 7530(tar)s 4(get)k
8130(preceding)s 0 10409(its)m 276(in)s 9(v)k 4(ocation)k
1330(point,)s 1929(within)s 220 fnt35 2597 10406(@P)m 8(ageList)k
240 fnt82 3661 10409(.)m 480 10035(Printing)m 1308(the)s 1661(root)s
2112(g)s 1(alle)k 3(y)k 2751(on)s 3054(the)s
3407(output)s 4085(\207le)s 4451(is)s 4666(some)s 6(what)k
5696(problematical,)s 7121(because)s 7940(Lout)s 8457(has)s 8833(no)s
0 9747(w)m 2(ay)k 461(of)s 742(kno)s 6(wing)k
1638(ho)s 6(w)k 2109(lar)s 4(ge)k 2648(the)s
3006(paper)s 3607(is.)s 3941(Basser)s 4648(Lout)s 5170(simply)s
5885(prints)s 6490(one)s 6902(root)s 7357(g)s 1(alle)k 3(y)k
8002(component)s 0 9459(per)m 355(page)s 852(\(e)s 3(xcept)k
1601(it)s 1782(skips)s 2314(components)s 3511(of)s 3771(height)s
4418(zero\),)s 5005(and)s 5398(the)s 5735(user)s 6182(is)s
6381(responsible)s 7515(for)s 7842(ensuring)s 8708(that)s 0 9171(each)m
504(component)s 1637(is)s 1856(page-sized.)s 3051(Gaps)s 3603(between)s
4466(root)s 4920(g)s 1(alle)k 3(y)k 5563(components,)s
6836(e)s 6(v)k 3(en)k 7345(unbreakable)s 8580(ones,)s
0 8883(ha)m 4(v)k 3(e)k 501(no)s 794(ef)s 6(fect)k
1390(on)s 1687(the)s 2035(result.)s 480 8509(Basser)m 1204(Lout)s
1744(will)s 2198(promote)s 3079(a)s 3273(component)s 4425(only)s
4933(after)s 5457(an)s 3(y)k 5882(recepti)s 6(v)k 3(e)k
6832(symbols)s 7709(within)s 8405(it)s 8625(ha)s 4(v)k 3(e)k
0 8221(been)m 509(replaced,)s 1426(either)s 2029(by)s 2324(g)s 1(alle)k 3(ys)k
3048(or)s 3308(by)s 220 fnt35 3602 8218(@Null)m 240 fnt82
4187 8221(,)m 4295(since)s 4842(until)s 5336(then)s 5805(the)s
6154(component)s 7278(is)s 7489(not)s 7855(complete.)s 8896(A)s
0 7933(component)m 1109(which)s 1736(shares)s 2369(a)s 2520(mark)s
3057(with)s 3524(follo)s 6(wing)k 4486(components)s 5679(is)s
5874(held)s 6329(up)s 6607(until)s 7085(the)s 3(y)k
7533(are)s 7865(all)s 8143(complete,)s 0 7645(since)m 547(until)s
1040(then)s 1509(their)s 2006(width)s 2608(is)s 2818(uncertain.)s
480 7271(Consider)m 1409(a)s 1581(page)s 2095(with)s 220 fnt35
2583 7268(@T)m 26(e)k 6(xtPlace)k 240 fnt82 3806 7271(and)m
220 fnt35 4216 7268(@F)m 6(ootSect)k 240 fnt82 5373 7271(recepti)m 6(v)k 3(e)k
6301(symbols.)s 7268(The)s 7702(rule)s 8135(just)s 8546(gi)s 6(v)k 3(en)k
0 6983(will)m 418(pre)s 6(v)k 3(ent)k 1177(the)s
1517(page)s 2016(from)s 2531(being)s 3108(printed)s 3834(until)s
220 fnt35 4319 6980(@T)m 26(e)k 6(xtPlace)k 240 fnt82
5528 6983(is)m 5729(replaced)s 6588(by)s 6873(body)s 7399(te)s 3(xt,)k
7852(quite)s 8377(rightly;)s 0 6695(b)m 4(ut)k 220 fnt35
362 6692(@F)m 6(ootSect)k 240 fnt82 1513 6695(will)m 1939(also)s
2377(pre)s 6(v)k 3(ent)k 3145(its)s 3421(printing,)s
4285(e)s 6(v)k 3(en)k 4785(when)s 5361(there)s
5894(are)s 6241(no)s 6534(footnotes.)s 480 6321(Basser)m 1187(Lout)s
1709(is)s 1930(k)s 2(een)k 2447(to)s 2696(write)s
3253(out)s 3629(pages)s 4235(as)s 4496(soon)s 5016(as)s
5276(possible,)s 6178(to)s 6427(sa)s 4(v)k 3(e)k
6911(memory)s 15(,)k 7811(and)s 8225(it)s 8428(cannot)s
0 6033(af)m 6(ford)k 624(to)s 852(w)s 2(ait)k
1309(fore)s 6(v)k 3(er)k 2038(for)s 2365(non-e)s 3(xistent)k
3592(footnotes.)s 4635(A)s 4854(v)s 6(ariant)k 5559(of)s
5819(the)s 6156(g)s 1(alle)k 3(y)k 6778(concept,)s
7618(called)s 8235(a)s 240 fnt83 8389 6035(for)m 8(cing)k
0 5747(galle)m 7(y)k 240 fnt82 573 5745(,)m 680(is)s
890(introduced)s 1971(to)s 2210(solv)s 3(e)k 2768(this)s
3164(problem.)s 4125(A)s 4355(forcing)s 5098(g)s 1(alle)k 3(y)k
5732(is)s 5942(de\207ned)s 6705(lik)s 2(e)k 7117(this:)s
220 fnt35 480 5244(def @T)m 26(e)k 6(xt f)k 6(orce into { @T)k 26(e)k 6(xtPlace&&preceding })k
480 4956(   ...)m 240 fnt82 0 4505(and)m 392(so)s 646(on.)s
1037(When)s 1654(such)s 2138(a)s 2291(g)s 1(alle)k 3(y)k
2913(replaces)s 3734(a)s 220 fnt35 3887 4502(@Galle)m 4(y)k
240 fnt82 4773 4505(symbol,)m 5573(Lout)s 6072(replaces)s 6893(e)s 6(v)k 3(ery)k
7457(recepti)s 6(v)k 3(e)k 8366(symbol)s 0 4217(preceding)m
1004(the)s 220 fnt35 1360 4214(@Galle)m 4(y)k 240 fnt82
2266 4217(by)m 220 fnt35 2568 4214(@Null)m 240 fnt82 3153 4217(,)m
3268(thus)s 3726(ensuring)s 4611(that)s 5038(as)s 5296(soon)s
5814(as)s 6072(te)s 3(xt)k 6495(enters)s 7124(a)s
7298(page,)s 7865(for)s 8212(e)s 3(xample,)k 0 3929(e)m 6(v)k 3(erything)k
1064(up)s 1354(to)s 1590(and)s 1991(including)s 2945(the)s
3289(preceding)s 4282(page)s 4787(can)s 5173(be)s 5452(printed.)s
6290(This)s 6762(does)s 7249(not)s 7612(tak)s 2(e)k
8061(care)s 8511(of)s 8778(the)s 0 3641(v)m 3(ery)k
479(last)s 873(page,)s 1435(b)s 4(ut)k 1801(Basser)s
2501(Lout)s 3016(replaces)s 3852(all)s 4149(recepti)s 6(v)k 3(e)k
5074(symbols)s 5926(by)s 220 fnt35 6223 3638(@Null)m 240 fnt82
6872 3641(when)m 7451(it)s 7646(realizes)s 8428(that)s 8850(its)s
0 3353(input)m 552(has)s 922(all)s 1215(been)s 1724(read,)s
2242(thus)s 2692(allo)s 6(wing)k 3576(the)s 3924(last)s
4315(page)s 4823(to)s 5062(print.)s 480 2979(A)m 714(forcing)s
1461(g)s 1(alle)k 3(y)k 2099(causes)s 2779(the)s
3131(Third)s 3724(La)s 3(w)k 4204(to)s 4448(be)s
4734(applied)s 5500(earlier)s 6172(than)s 6646(e)s 3(xpected,)k
7604(and)s 8012(this)s 8413(creates)s 0 2691(tw)m 2(o)k
425(problems.)s 1495(First,)s 2055(the)s 2419(replacement)s 3662(by)s
220 fnt35 3972 2688(@Null)m 240 fnt82 4633 2691(may)m 5114(be)s
5412(premature:)s 6562(a)s 6744(g)s 1(alle)k 3(y)k
7394(may)s 7876(turn)s 8334(up)s 8643(later)s 0 2403(w)m 2(anting)k
869(one)s 1318(of)s 1636(the)s 2032(defunct)s 2856(tar)s 4(gets.)k
3699(Such)s 4283(g)s 1(alle)k 3(ys)k 5054(\(entries)s
5867(in)s 6157(tables)s 6813(of)s 7131(contents)s 8026(are)s
8421(typical)s 0 2115(e)m 3(xamples\))k 1020(are)s 1358(copied)s
2045(into)s 2461(the)s 2801(cross)s 3334(reference)s 4268(database)s
5138(and)s 5534(read)s 5994(in)s 6228(during)s 6897(the)s
7237(ne)s 3(xt)k 7697(run)s 8064(just)s 8460(before)s
0 1827(their)m 488(tar)s 4(gets)k 1161(are)s 1498(closed,)s
2206(and)s 2600(so)s 2856(the)s 3(y)k 3309(\207nd)s
3730(their)s 4217(tar)s 4(gets)k 4891(in)s 5124(the)s
5462(end.)s 5962(Care)s 6459(must)s 6974(be)s 7246(tak)s 2(en)k
7809(to)s 8038(ensure)s 8708(that)s 0 1539(lar)m 4(ge)k
526(g)s 1(alle)k 3(ys)k 1247(such)s 1739(as)s
1986(chapters)s 2829(and)s 3230(sections)s 4047(do)s 4337(not)s
4700(ha)s 4(v)k 3(e)k 5197(defunct)s 5971(tar)s 4(gets,)k
6706(since)s 7250(the)s 7594(cost)s 8036(of)s 8303(cop)s 2(ying)k
0 1251(them)m 538(to)s 777(and)s 1181(from)s 1705(the)s
2053(database)s 2932(is)s 3142(unacceptably)s 4458(high.)s 480 877(It)m
694(is)s 914(actually)s 1734(an)s 2027(o)s 3(v)k 3(er)k 4(-simpli\207cation)k
3901(to)s 4150(say)s 4533(that)s 4961(these)s 5517(replacements)s
6838(occur)s 7439(when)s 8025(the)s 8383(forcing)s 0 589(g)m 1(alle)k 3(y)k
633(replaces)s 1464(its)s 220 fnt35 1738 586(@Galle)m 4(y)k
240 fnt82 2576 589(.)m 2738(What)s 3315(really)s 3910(happens)s
4744(is)s 4952(that)s 5368(from)s 5891(this)s 6285(moment)s
7127(on)s 7422(Lout)s 7932(understands)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 30 36
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(30)m 240 fnt83 7257 13843(Chapter)m 8107(2.)s
8381(Details)s 240 fnt82 0 13205(that)m 414(it)s 602(has)s
968(the)s 1311(right)s 1818(to)s 2053(mak)s 2(e)k
2621(these)s 3163(replacements,)s 4526(and)s 4926(it)s 5114(will)s
5535(do)s 5824(each)s 6315(one)s 6713(at)s 6940(the)s
7284(\207rst)s 7711(moment)s 8550(when)s 0 12917(not)m 369(doing)s
972(it)s 1168(w)s 2(ould)k 1827(hold)s 2315(things)s
2955(up.)s 3363(So)s 3673(there)s 4210(is)s 4423(a)s
4593(short)s 5135(period)s 5808(of)s 6083(grace)s 6660(when)s
7240(g)s 1(alle)k 3(ys,)k 8024(such)s 8524(as)s
8778(the)s 0 12629(entries)m 687(in)s 930(tables)s 1538(of)s
1809(contents)s 2657(just)s 3062(alluded)s 3824(to,)s 4117(can)s
4506(sneak)s 5112(into)s 5537(these)s 6084(recepti)s 6(v)k 3(e)k
7006(symbols.)s 480 12255(The)m 220 fnt35 902 12252(into)m 240 fnt82
1302 12255(and)m 220 fnt35 1699 12252(f)m 6(orce into)k 240 fnt82
2642 12255(forms)m 3243(are)s 3584(actually)s 4387(just)s 4786(abbre)s 6(viations)k
6112(for)s 6444(the)s 6785(true)s 7206(w)s 2(ay)k
7650(that)s 8062(g)s 1(alle)k 3(ys)k 8779(are)s
0 11967(de\207ned,)m 806(which)s 1442(is)s 1646(by)s 1934(gi)s 6(ving)k
2586(the)s 2928(symbol)s 3682(that)s 4094(is)s 4297(to)s
4530(be)s 4806(a)s 4966(g)s 1(alle)k 3(y)k
5594(a)s 5753(parameter)s 6761(or)s 7014(nested)s 7677(de\207nition)s
8644(with)s 0 11679(the)m 348(special)s 1066(name)s 220 fnt35
1640 11676(@T)m 26(arget)k 240 fnt82 2467 11679(:)m 220 fnt35
480 11178(def @T)m 26(e)k 6(xt)k 480 10890(    r)m -3(ight x)k
480 10602({)m 480 10314(    def @T)m 26(arget { @T)k 26(e)k 6(xtPlace&&preceding })k
480 9738(    x)m 480 9450(})m 240 fnt82 0 8956(A)m 237(forcing)s
988(g)s 1(alle)k 3(y)k 1630(is)s 1848(obtained)s
2738(by)s 3039(using)s 220 fnt35 3619 8953(&&&)m 240 fnt82
4121 8956(instead)m 4864(of)s 220 fnt35 5143 8953(&&)m 240 fnt82
5431 8956(.)m 220 fnt35 5602 8953(@T)m 26(arget)k 240 fnt82
6497 8956(may)m 6971(be)s 7261(an)s 7552(arbitrary)s 8435(object,)s
0 8668(pro)m 3(vided)k 908(that)s 1329(it)s 1524(yields)s
2149(such)s 2648(a)s 2817(cross)s 3362(reference)s 4307(when)s
4886(e)s 6(v)k 6(aluated.)k 5957(In)s 6216(this)s
6615(w)s 2(ay)k 15(,)k 7107(dif)s 6(ferent)k
7985(in)s 9(v)k 4(ocations)k 0 8380(may)m 466(ha)s 4(v)k 3(e)k
967(dif)s 6(ferent)k 1842(tar)s 4(gets.)k 480 8006(The)m
904(forcing)s 1643(g)s 1(alle)k 3(y)k 2273(ef)s 6(fect)k
2865(can)s 3249(be)s 3527(obtained)s 4405(in)s 4644(another)s
5417(w)s 2(ay)k 15(,)k 5901(by)s 6191(replacing)s
7129(the)s 220 fnt35 7473 8003(@Galle)m 4(y)k 240 fnt82
8366 8006(symbol)m 0 7718(to)m 245(which)s 893(the)s 1247(g)s 1(alle)k 3(y)k
1887(is)s 2103(attached)s 2964(by)s 220 fnt35 3264 7715(@F)m 6(orceGalle)k 4(y)k
240 fnt82 4657 7718(.)m 4827(The)s 5261(adv)s 6(antage)k
6287(of)s 6565(this)s 6967(form)s 7497(is)s 7713(that)s
8137(the)s 8492(g)s 1(alle)k 3(y)k 0 7430(can)m
389(then)s 858(be)s 1140(forcing)s 1883(at)s 2115(some)s
2676(places)s 3324(and)s 3728(not)s 4094(at)s 4326(others,)s
5017(using)s 5589(the)s 5937(formula)s 220 fnt35 480 6929(def @SomePlace r)m -3(ight x)k
480 6641({)m 480 6353(    x @Case {)m 480 6065(        nof)m 6(orce  @Y)k 4(ield @Galle)k 4(y)k
480 5777(        f)m 6(orce    @Y)k 4(ield @F)k 6(orceGalle)k 4(y)k
480 5489(    })m 480 5201(})m 240 fnt82 0 4707(No)m 6(w)k
514(a)s 680(g)s 1(alle)k 3(y)k 1314(may)s
1780(ha)s 4(v)k 3(e)k 220 fnt35 2281 4704(@SomePlace)m
240 fnt82 3677 4707(for)m 4015(its)s 4291(tar)s 4(get,)k
4937(and)s 5341(if)s 5558(it)s 5750(happens)s 6586(to)s
6825(attach)s 7452(to)s 220 fnt35 480 4206(@SomePlace f)m 6(orce)k
240 fnt82 0 3751(it)m 192(will)s 618(ha)s 4(v)k 3(e)k
1119(the)s 1467(ef)s 6(fect)k 2063(of)s 2334(a)s
2500(forcing)s 3243(g)s 1(alle)k 3(y)k 15(,)k
3915(while)s 4502(if)s 4719(it)s 4911(happens)s 5747(to)s
5986(attach)s 6613(to)s 220 fnt35 480 3250(@SomePlace nof)m 6(orce)k
240 fnt82 0 2795(it)m 192(will)s 618(not.)s 480 2421(Although)m
1436(it)s 1621(doesn')s 4(t)k 2374(matter)s 3036(whether)s
3859(a)s 4018(g)s 1(alle)k 3(y)k 4645(is)s
4848(declared)s 5708(as)s 5951(a)s 6110(forcing)s 6846(g)s 1(alle)k 3(y)k
7473(or)s 7725(merely)s 8435(arri)s 6(v)k 3(es)k
0 2133(at)m 244(a)s 220 fnt35 422 2130(@F)m 6(orceGalle)k 4(y)k
240 fnt82 1887 2133(symbol)m 2659(from)s 3195(the)s 3555(point)s
4119(of)s 4402(vie)s 6(w)k 4928(of)s 5211(the)s
5571(ef)s 6(fect)k 6179(on)s 6488(nearby)s 7205(tar)s 4(gets,)k
7956(there)s 8501(is)s 8724(one)s 0 1845(w)m 2(ay)k
446(in)s 683(which)s 1319(Lout)s 1825(treats)s 2387(the)s
2729(tw)s 2(o)k 3133(cases)s 3682(dif)s 6(ferently)k 15(.)k
4827(If)s 5051(a)s 5211(forcing)s 5948(g)s 1(alle)k 3(y')k 13(s)k
6733(\207rst)s 7158(component)s 8276(does)s 8760(not)s 0 1557(\207t)m
264(into)s 695(the)s 1048(a)s 4(v)k 6(ailable)k
1962(space,)s 2606(that)s 3029(component)s 4159(will)s 4590(be)s
4878(scaled)s 5539(v)s 3(ertically)k 6496(until)s 6995(it)s
7192(does.)s 7801(The)s 8235(rationale)s 0 1269(for)m 343(this)s
744(is)s 959(that)s 1382(forcing)s 2130(g)s 1(alle)k 3(ys)k
2860(are)s 3212(meant)s 3861(to)s 4105(carry)s 4654(the)s
5007(b)s 4(ulk)k 5496(of)s 5772(the)s 6125(document)s
7134(and)s 7543(cannot)s 8246(af)s 6(ford)k 8887(to)s
0 981(be)m 295(held)s 779(up)s 1086(because)s 1913(the)s
2275(user)s 2747(has)s 3131(inadv)s 3(ertently)k 4456(included)s
5352(an)s 5649(o)s 3(v)k 3(er)k 4(-high)k
6640(component,)s 7825(which)s 8481(for)s 8833(all)s 0 693(Lout)m
514(kno)s 6(ws)k 1188(to)s 1430(the)s 1781(contrary)s
2634(may)s 3103(not)s 3472(\207t)s 3734(on)s 4034(an)s 3(y)k
4433(page.)s 5052(If)s 5285(this)s 5684(scaling)s 6417(is)s
6630(not)s 6999(w)s 2(anted)k 7749(b)s 4(ut)k
8114(forcing)s 8860(is,)s 0 405(the)m 348(g)s 1(alle)k 3(y)k
982(may)s 1448(be)s 1730(declared)s 2597(not)s 2963(forcing)s
3706(b)s 4(ut)k 4068(all)s 4361(its)s 4637(tar)s 4(gets)k
5320(may)s 5786(be)s 6068(set)s 6393(to)s 6632(contain)s
220 fnt35 7393 402(@F)m 6(orceGalle)k 4(y)k 240 fnt82
8786 405(.)m 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 31 37
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(2.7.)m 454(Galle)s 7(ys)k 1232(and)s
1658(tar)s 8(g)k 2(ets)k 240 fnt84 8839 13840(31)m
240 fnt82 480 13205(W)m 9(ithin)k 1197(a)s 1368(g)s 1(alle)k 3(y)k 15(,)k
2045(a)s 2216(symbol)s 2981(whose)s 3654(name)s 4233(is)s
220 fnt35 4448 13202(@Enclose)m 240 fnt82 5508 13205(has)m 5883(a)s
6054(special)s 6777(meaning:)s 7772(when)s 8353(compo)s 8998(-)s
0 12917(nents)m 556(of)s 827(the)s 1175(g)s 1(alle)k 3(y)k
1810(replace)s 2555(a)s 220 fnt35 2721 12914(@Galle)m 4(y)k
240 fnt82 3619 12917(or)m 220 fnt35 3879 12914(@F)m 6(orceGalle)k 4(y)k
240 fnt82 5332 12917(symbol,)m 6144(that)s 6562(symbol)s 7323(is)s
7533(\207rst)s 7964(replaced)s 8832(by)s 220 fnt35 0 12626(@Enclose)m
1055(@Galle)s 4(y)k 240 fnt82 1953 12629(or)m 220 fnt35
2212 12626(@Enclose)m 3267(@F)s 6(orceGalle)k 4(y)k 240 fnt82
4660 12629(.)m 4824(F)s 3(or)k 5213(e)s 3(xample,)k
220 fnt35 480 12128(def @Figure into @FigurePlace&&f)m 6(ollo)k 3(wing)k 480 11840(    r)m -3(ight @Body)k
480 11552({)m 480 11264(    def @Enclose)m 480 10976(        r)m -3(ight x)k 480 10688(    {)m
480 10400(        @Bo)m 6(x x)k 480 10112(    })m 480 9536(    @Body)m 480 9248(})m
240 fnt82 0 8754(causes)m 705(each)s 220 fnt35 1230 8751(@Galle)m 4(y)k
240 fnt82 2159 8754(or)m 220 fnt35 2448 8751(@F)m 6(orceGalle)k 4(y)k
240 fnt82 3932 8754(symbol)m 4722(that)s 5171(recei)s 6(v)k 3(es)k
6025(components)s 7264(of)s 7565(g)s 1(alle)k 3(y)k
220 fnt35 8230 8751(@Figure)m 240 fnt82 0 8466(to)m 250(be)s
544(replaced)s 1423(by)s 220 fnt35 1728 8463(@Bo)m 6(x @Galle)k 4(y)k
240 fnt82 3294 8466(or)m 220 fnt35 3565 8463(@Bo)m 6(x @F)k 6(orceGalle)k 4(y)k
240 fnt82 5614 8466(,)m 5732(assuming)s 6701(an)s 6996(appropriate)s
8152(de\207nition)s 0 8178(of)m 220 fnt35 311 8175(@Bo)m 6(x.)k
240 fnt82 1109 8178(This)m 1626(is)s 1876(useful,)s 2608(for)s
2987(e)s 3(xample,)k 3941(when)s 4558(producing)s 5623(multi-page)s
6754(box)s 3(ed)k 7436(displays,)s 8368(\207gures,)s 0 7890(and)m
404(tables.)s 480 7516(An)m 220 fnt35 861 7513(@Enclose)m 240 fnt82
1947 7516(symbol)m 2739(may)s 3236(ha)s 4(v)k 3(e)k
3769(only)s 4280(one)s 4714(parameter)s 9(,)k 5797(which)s
6471(must)s 7027(be)s 7341(a)s 7538(right)s 8081(parameter)s 13(.)k
0 7228(It)m 213(w)s 2(ould)k 877(not)s 1252(mak)s 2(e)k
1833(sense)s 2416(to)s 2664(allo)s 6(w)k 3252(more)s
3808(parameters,)s 4971(since)s 5527(there)s 6069(is)s 6288(no)s
6590(suitable)s 7398(v)s 6(alue)k 7975(to)s 8223(assign)s
8887(to)s 0 6940(them.)m 628(Ho)s 6(we)k 6(v)k 3(er)k 9(,)k
1574(the)s 220 fnt35 1908 6937(@Enclose)m 240 fnt82 2949 6940(symbol)m
3695(may)s 4147(contain)s 4894(inner)s 5431(de\207nitions,)s 6534(and)s
6924(it)s 7102(may)s 7554(mak)s 2(e)k 8112(use)s
8473(of)s 8729(an)s 3(y)k 0 6652(symbol)m 761(that)s
1181(is)s 1393(a)s 4(v)k 6(ailable)k 2303(at)s
2537(that)s 2956(point,)s 3557(in)s 3802(the)s 4152(usual)s
4714(w)s 2(ay)k 15(.)k 5262(The)s 220 fnt35
5691 6649(@Enclose)m 240 fnt82 6748 6652(symbol)m 7510(may)s 7978(be)s
8262(a)s 8430(named)s 0 6364(parameter)m 1016(\(itself)s 1645(with)s
2130(a)s 2298(right)s 2812(parameter\))s 3896(of)s 4169(the)s
4520(g)s 1(alle)k 3(y)k 5156(symbol,)s 5971(rather)s
6589(than)s 7060(an)s 7346(inner)s 7899(de\207nition)s 8876(as)s
0 6076(sho)m 6(wn)k 677(abo)s 3(v)k 3(e,)k
1350(if)s 1567(desired.)s 480 5702(It)m 696(mak)s 2(es)k
1367(sense)s 1952(for)s 2302(sorted)s 2955(g)s 1(alle)k 3(ys)k
3690(containing)s 4765(a)s 220 fnt35 4942 5699(@Merge)m 240 fnt82
5850 5702(symbol)m 6621(\(Section)s 7486(2.8\))s 7925(to)s 8175(also)s
8625(ha)s 4(v)k 3(e)k 0 5414(an)m 220 fnt35
277 5411(@Enclose)m 240 fnt82 1326 5414(symbol.)m 2188(The)s 2610(meaning)s
3480(is)s 3684(that)s 4095(after)s 4585(all)s 4872(mer)s 4(ging)k
5711(is)s 5915(done,)s 6481(each)s 6970(resulting)s 7852(g)s 1(alle)k 3(y)k
8480(has)s 8843(an)s 220 fnt35 0 5123(@Enclose)m 240 fnt82
1061 5126(symbol)m 1827(which)s 2476(is)s 2692(applied)s 3461(in)s
3710(the)s 4064(usual)s 4631(w)s 2(ay)k 15(.)k
5183(The)s 5618(v)s 6(alue)k 6192(of)s 6469(this)s
220 fnt35 6872 5123(@Enclose)m 240 fnt82 7933 5126(symbol)m 8700(will)s
0 4838(be)m 274(the)s 614(v)s 6(alue)k 1174(of)s
1437(an)s 220 fnt35 1712 4835(@Enclose)m 240 fnt82 2758 4838(symbol)m
3510(from)s 4026(one)s 4420(of)s 4683(the)s 5022(contrib)s 4(uting)k
6232(g)s 1(alle)k 3(ys,)k 7004(b)s 4(ut)k
7358(e)s 3(xactly)k 8091(which)s 8724(one)s 0 4550(is)m
210(not)s 576(de\207ned.)s 1445(So)s 1751(it)s 1943(is)s
2153(safest)s 2756(if)s 2973(all)s 3266(such)s 220 fnt35
3762 4547(@Enclose)m 240 fnt82 4817 4550(symbols)m 5666(produce)s 6493(the)s
6841(same)s 7388(result.)s 480 4176(A)m 220 fnt35 709 4173(f)m 6(ollo)k 3(wing)k
240 fnt82 1597 4176(g)m 1(alle)k 3(y)k 2229(may)s
2693(f)s 2(ail)k 3061(to)s 3299(\207nd)s 3728(a)s
3892(\207rst)s 4321(tar)s 4(get)k 4918(lying)s 5461(in)s
5703(a)s 5867(follo)s 6(wing)k 6842(component)s 7964(of)s
8233(the)s 8579(same)s 0 3888(g)m 1(alle)k 3(y)k
634(as)s 884(its)s 1159(in)s 9(v)k 4(ocation)k
2213(point.)s 2868(This)s 3344(is)s 3553(a)s 3719(de\207cienc)s 3(y)k
4752(of)s 5023(Basser)s 5719(Lout,)s 6278(which)s 6919(occurs)s
7594(if)s 7810(the)s 8158(tar)s 4(get)k 8756(has)s
0 3600(not)m 356(been)s 855(read)s 1313(from)s 1827(input)s
2369(at)s 2590(the)s 2928(time)s 3398(the)s 3735(g)s 1(alle)k 3(y)k
4359(tries)s 4810(to)s 5038(\207nd)s 5459(it.)s 5745(A)s
5964(w)s 2(orkaround)k 7167(is)s 7367(to)s 7595(use)s
7960(a)s 220 fnt35 8115 3597(preceding)m 240 fnt82 0 3312(g)m 1(alle)k 3(y)k
634(instead,)s 1418(de\207ned)s 2181(lik)s 2(e)k 2593(this:)s
220 fnt35 480 2811(def @A)m 6(Galle)k 4(y into { @A)k 6(Galle)k 4(yPlace&&preceding })k
480 2523(    r)m -3(ight @Body)k 480 2235({)m 480 1947(    //1.1b)m 480 1659(    @Body)m
480 1371(})m 240 fnt82 0 877(and)m 404(in)s 9(v)k 4(ok)k 2(ed)k
1219(lik)s 2(e)k 1631(this:)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 32 38
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(32)m 240 fnt83 7257 13843(Chapter)m 8107(2.)s
8381(Details)s 220 fnt35 480 13207(@A)m 6(Galle)k 4(yPlace | @A)k 6(Galle)k 4(y { content of galle)k 4(y })k
480 12919(//)m 480 12631(...)m 480 12343(@A)m 6(Galle)k 4(yPlace)k
240 fnt82 0 11845(The)m 419(\207rst)s 220 fnt35 841 11842(@A)m 6(Galle)k 4(yPlace)k
240 fnt82 2411 11845(recei)m 6(v)k 3(es)k 3226(only)s
3696(the)s 4035(initial)s 4636(empty)s 5279(object,)s 5960(since)s
6498(the)s 220 fnt35 6836 11842(//1.1b)m 240 fnt82 7428 11845(forces)m
8052(a)s 8209(split;)s 8722(and)s 0 11557(the)m 348(Second)s
1111(La)s 3(w)k 1587(puts)s 2037(Basser)s 2734(Lout)s
3246(on)s 3543(the)s 3891(right)s 4402(track)s 4940(thereafter)s 13(.)k
240 fnt84 0 10764(2.8.)m 471(Sorted)s 1203(galleys)s 240 fnt82
480 10287(When)m 1128(footnotes)s 2088(are)s 2455(placed)s 3156(at)s
3407(the)s 3775(bottom)s 4532(of)s 4823(a)s 5008(page,)s
5586(the)s 3(y)k 6069(appear)s 6785(there)s 7337(in)s
7600(\207rst)s 8050(come,)s 8695(\207rst)s 0 9999(serv)m 3(ed)k
674(order)s 13(.)k 1324(T)s 19(o)k 1618(mak)s 2(e)k
2185(g)s 1(alle)k 3(ys)k 2903(appear)s 3595(in)s
3832(sorted)s 4469(order)s 9(,)k 5065(as)s 5310(is)s
5514(needed)s 6245(in)s 6482(bibliographies)s 7896(and)s 8294(inde)s 3(x)k 3(es,)k
0 9711(a)m 178(parameter)s 1205(or)s 1477(nested)s 2158(de\207nition)s
3145(with)s 3640(the)s 4000(special)s 4731(name)s 220 fnt35
5318 9708(@K)m 8(e)k 4(y)k 240 fnt82 5977 9711(is)m
6200(added)s 6843(to)s 7094(the)s 7455(g)s 1(alle)k 3(y)k
8102(de\207nition,)s 0 9423(lik)m 2(e)k 412(this:)s 220 fnt35
480 8972(def @Inde)m 6(xEntr)k -6(y into { @Inde)k 6(xPlace&&f)k 6(ollo)k 3(wing })k
480 8684(   left @K)m 8(e)k 4(y)k 480 8396(   r)m -3(ight x)k
480 8108({ x })m 0 7611(@K)m 8(e)k 4(y)k 240 fnt82
674 7614(must)m 1226(be)s 1535(set)s 1887(to)s 2153(a)s
2346(simple)s 3066(w)s 2(ord,)k 3690(or)s 3976(se)s 6(v)k 3(eral)k
4725(w)s 2(ords)k 5386(with)s 5895(nothing)s 6707(more)s
7281(comple)s 3(x)k 8184(than)s 8681(font)s 0 7326(changes)m
822(within)s 1490(them,)s 2075(when)s 2651(the)s 2999(g)s 1(alle)k 3(y)k
3633(is)s 3843(in)s 9(v)k 4(ok)k 2(ed:)k
220 fnt35 480 6825({ cities compare } @Inde)m 6(xEntr)k -6(y { cities)k 3(, compar)k -3(ison of)k 6(, 27 })k
240 fnt82 0 6327(and)m 404(this)s 800(k)s 2(e)k 3(y)k
1195(is)s 1405(used)s 1902(to)s 2141(sort)s 2559(the)s
2907(g)s 1(alle)k 3(ys.)k 480 5953(If)m 707(se)s 6(v)k 3(eral)k
1425(sorted)s 2063(g)s 1(alle)k 3(ys)k 2783(with)s
3261(the)s 3605(same)s 4148(k)s 2(e)k 3(y)k
4539(are)s 4882(sent)s 5323(to)s 5558(the)s 5902(same)s
6445(place,)s 7052(the)s 7396(def)s 2(ault)k 8113(beha)s 4(viour)k
0 5665(is)m 253(to)s 536(print)s 1091(only)s 1615(the)s
2007(\207rst)s 2481(of)s 2796(them;)s 3430(the)s 3822(assumption)s
5013(is)s 5266(that)s 5728(the)s 6120(others)s 6799(are)s
7190(probably)s 8139(unw)s 2(anted)k 0 5377(duplicates.)m 1146(This)s
1636(holds)s 2220(good)s 2772(for)s 3123(sorted)s 3779(reference)s
4736(lists,)s 5241(for)s 5593(e)s 3(xample:)k 6579(we)s
6928(don')s 4(t)k 7503(w)s 2(ant)k 8040(tw)s 2(o)k
8464(copies)s 0 5089(of)m 273(a)s 442(reference)s 1388(just)s
1796(because)s 2611(we)s 2949(happen)s 3701(to)s 3943(cite)s
4345(it)s 4540(twice.)s 5224(Ho)s 6(we)k 6(v)k 3(er)k 9(,)k
6187(the)s 6537(other)s 7091(common)s 7989(e)s 3(xample)k
8855(of)s 0 4801(sorted)m 642(g)s 1(alle)k 3(ys,)k
1422(inde)s 3(x)k 2006(entries,)s 2749(requires)s 3569(something)s
4619(dif)s 6(ferent:)k 240 fnt83 5600 4803(mer)m 8(g)k 2(ed)k
240 fnt82 6374 4801(g)m 1(alle)k 3(ys.)k 480 4427(Suppose)m
1348(that)s 1766(at)s 1998(some)s 2559(point)s 3111(of)s
3382(the)s 3730(document)s 4734(we)s 5069(insert)s 5659(the)s
6007(inde)s 3(x)k 6591(entry)s 220 fnt35 480 3926(aardv)m 5(ar)k -3(ks @Inde)k 6(xEntr)k -6(y { Aardv)k 5(ar)k -3(ks)k 3(, 23 })k
240 fnt82 0 3428(while)m 587(at)s 819(another)s 1596(point)s
2148(we)s 2483(insert)s 220 fnt35 480 2927(aardv)m 5(ar)k -3(ks @Inde)k 6(xEntr)k -6(y { Aardv)k 5(ar)k -3(ks)k 3(, 359 })k
240 fnt82 0 2429(Ho)m 6(w)k 505(the)s 843(page)s
1341(numbers)s 2206(are)s 2544(w)s 2(ork)k 2(ed)k
3306(out)s 3662(is)s 3862(not)s 4219(rele)s 6(v)k 6(ant)k
5026(here.)s 5591(Clearly)s 6338(we)s 6664(w)s 2(ould)k
7309(lik)s 2(e)k 7711(to)s 7940(mer)s 4(ge)k
8579(these)s 0 2141(tw)m 2(o)k 410(entries)s 1097(into)s
1522(one)s 1924(entry)s 2469(that)s 2887(comes)s 3549(out)s
3915(as)s 480 1636(Aardv)m 6(arks, 23, 359)k 0 1152(The)m 428(follo)s 6(wing)k
1405(de\207nition)s 2379(will)s 2805(mer)s 4(ge)k 3454(tw)s 2(o)k
3864(objects)s 4592(in)s 4835(this)s 5231(w)s 2(ay:)k

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 33 39
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
%%+ font Symbol
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(2.8.)m 454(Sorted)s 1145(galle)s 7(ys)k
240 fnt84 8833 13840(33)m 220 fnt35 480 13207(def @Merge left x r)m -3(ight y)k
480 12919({)m 480 12631(    {x @Rump y} @Case)m 480 12343(    {)m 480 12055(        ""      @Y)m 4(ield x)k
480 11767(        else   @Y)m 4(ield { x, x @Rump y })k 480 11479(    })m 480 11191(})m 240 fnt82
0 10697(The)m 220 fnt35 429 10694(@Rump)m 240 fnt82 1290 10697(symbol)m
2051(is)s 2262(the)s 2611(subject)s 3349(of)s 3621(Section)s
4396(3.24;)s 4929(this)s 5326(says)s 5790(`if)s 6087(the)s
6436(tw)s 2(o)k 6847(things)s 7484(to)s 7724(be)s
8007(mer)s 4(ged)k 8779(are)s 0 10409(equal,)m 622(the)s
967(result)s 1553(is)s 1760(one)s 2158(of)s 2426(them;)s
3012(otherwise)s 3994(it)s 4182(is)s 4389(the)s 4733(\207rst)s
5161(follo)s 6(wed)k 6059(by)s 6350(a)s 6512(comma)s
7273(and)s 7673(space)s 8257(and)s 8657(then)s 0 10121(the)m
355(rump)s 921(of)s 1200(the)s 1556(second.)s 16(')k
2445(Our)s 2885(only)s 3372(problem)s 4237(is)s 4455(that)s
4881(this)s 5285(symbol)s 6053(has)s 6430(to)s 6677(be)s
6967(applied)s 7737(to)s 7984(tw)s 2(o)k 8402(g)s 1(alle)k 3(ys)k
0 9833(from)m 524(widely)s 1229(separated)s 2189(parts)s 2704(of)s
2975(the)s 3323(document.)s 480 9459(Lout)m 993(mak)s 2(es)k
1654(this)s 2052(possible)s 2893(by)s 3189(the)s 3538(follo)s 6(wing)k
4517(special)s 5236(rule:)s 5775(if)s 5993(a)s 6161(sorted)s
6804(g)s 1(alle)k 3(y)k 7440(contains)s 8289(a)s
8457(nested)s 0 9171(de\207nition)m 965(of)s 1227(a)s 1383(symbol)s
2134(whose)s 2793(name)s 3357(is)s 220 fnt35 3558 9168(@Merge)m
240 fnt82 4446 9171(\()m 220 fnt35 4519 9168(@Merge)m 240 fnt82
5406 9171(must)m 5922(ha)s 4(v)k 3(e)k 6414(just)s
6809(tw)s 2(o)k 7210(parameters,)s 8355(left)s 8722(and)s
0 8883(right\),)m 643(and)s 1054(if)s 1277(that)s 1702(sorted)s
2350(g)s 1(alle)k 3(y)k 2991(is)s 3207(preceded)s
4135(in)s 4384(the)s 4739(list)s 5096(of)s 5374(sorted)s
6022(g)s 1(alle)k 3(ys)k 6753(destined)s 7614(for)s
7959(some)s 8527(tar)s 4(get)k 0 8595(by)m 300(another)s
1084(sorted)s 1733(g)s 1(alle)k 3(y)k 2374(with)s
2863(the)s 3217(same)s 3771(k)s 2(e)k 3(y)k 15(,)k
4211(then)s 4687(rather)s 5310(than)s 5785(being)s 6377(discarded,)s
7407(the)s 7762(second)s 8492(g)s 1(alle)k 3(y)k
0 8307(is)m 210(mer)s 4(ged)k 981(into)s 1406(the)s
1754(\207rst)s 2185(using)s 2757(the)s 220 fnt35 3105 8304(@Merge)m
240 fnt82 4002 8307(symbol.)m 480 7933(The)m 909(natural)s 1629(thing)s
2175(to)s 2416(do)s 2711(when)s 3288(more)s 3837(than)s
4307(tw)s 2(o)k 4719(g)s 1(alle)k 3(ys)k
5445(ha)s 4(v)k 3(e)k 5947(the)s 6297(same)s
6845(k)s 2(e)k 3(y)k 7242(is)s 7454(to)s
7694(mer)s 4(ge)k 8345(the)s 8695(\207rst)s 0 7645(tw)m 2(o,)k
477(then)s 959(mer)s 4(ge)k 1621(the)s 1982(third)s
2504(with)s 2999(the)s 3360(result)s 3963(of)s 4247(that,)s
4725(then)s 5207(the)s 5568(fourth)s 6222(with)s 6717(the)s
7078(result)s 7681(of)s 7965(that,)s 8443(and)s 8860(so)s
0 7357(on.)m 403(F)s 3(or)k 790(ef\207cienc)s 3(y)k
1781(reasons)s 2547(be)s 3(yond)k 3306(our)s 3684(scope)s
4283(here,)s 4799(Lout)s 5309(does)s 5797(the)s 6144(mer)s 4(ging)k
6988(in)s 7229(a)s 7393(dif)s 6(ferent)k 8266(order:)s
8934(it)s 0 7069(mer)m 4(ges)k 240 fnt83 736 7071(n)m
240 fnt82 909 7069(g)m 1(alle)k 3(ys)k 1632(by)s
1925(mer)s 4(ging)k 2770(the)s 3116(\207rst)s 240 fnt78
3592 7027(\353)m 240 fnt83 3685 7071(n)m 240 fnt78 3809 7063(/)m
3881(2)s 4006 7027(\373)m 240 fnt82 4197 7069(together)m 9(,)k
5077(then)s 5545(the)s 5892(last)s 240 fnt78 6327 7039(\351)m
240 fnt83 6420 7071(n)m 240 fnt78 6545 7063(/)m 6617(2)s
6741 7039(\371)m 240 fnt82 6933 7069(together)m 9(,)k 7813(then)s
8280(mer)s 4(ging)k 0 6781(the)m 337(result.)s 1019(Of)s
1332(course,)s 2051(if)s 2257(the)s 220 fnt35 2593 6778(@Merge)m
240 fnt82 3479 6781(symbol)m 4227(is)s 4426(associati)s 6(v)k 3(e)k
5509(this)s 5894(has)s 6252(the)s 6589(same)s 7124(ef)s 6(fect.)k
7813(The)s 220 fnt35 8229 6778(@Merge)m 240 fnt82 0 6493(symbol)m
758(abo)s 3(v)k 3(e)k 1377(is)s 1584(not)s
1947(strictly)s 2660(associati)s 6(v)k 3(e,)k 3803(b)s 4(ut)k
4162(it)s 4351(is)s 4559(close)s 5103(enough)s 5863(in)s
6103(practice.)s 7019(The)s 7444(total)s 7920(time)s 8397(it)s
8586(tak)s 2(es)k 0 6205(to)m 252(mer)s 4(ge)k
240 fnt83 915 6207(n)m 240 fnt82 1102 6205(g)m 1(alle)k 3(ys)k
1840(with)s 2335(equal)s 2922(k)s 2(e)k 3(ys)k
3421(is)s 240 fnt83 3644 6207(O)m 240 fnt78 3838 6199(\()m
168 fnt78 4049 6298(2)m 240 fnt83 3935 6207(n)m 240 fnt78
4155 6199(\))m 240 fnt82 4294 6205(or)m 4567(some)s 6(what)k
5605(higher)s 6289(\(b)s 4(ut)k 6744(al)s 2(w)k 2(ays)k
7468(polynomial)s 8627(in)s 240 fnt83 8884 6207(n)m 240 fnt82
8998 6205(\))m 0 5917(depending)m 1053(on)s 1353(ho)s 6(w)k
1816(man)s 3(y)k 2402(times)s 2972(the)s 3323(parameters)s
4424(occur)s 5017(within)s 5688(the)s 6038(body)s 6575(of)s
220 fnt35 6849 5914(@Merge)m 240 fnt82 7686 5917(;)m 7800(to)s
8042(do)s 8337(it)s 8532(in)s 8778(the)s 0 5629(natural)m
718(linear)s 1321(order)s 1885(w)s 2(ould)k 2540(tak)s 2(e)k
2992(Lout)s 3504(e)s 3(xponential)k 4672(time.)s 240 fnt84
0 4836(2.9.)m 471(Horizontal)s 1628(galleys)s 240 fnt82 480 4359(All)m
846(the)s 1201(g)s 1(alle)k 3(ys)k 1932(so)s
2205(f)s 2(ar)k 2534(ha)s 4(v)k 3(e)k
3042(been)s 240 fnt83 3557 4361(vertical)m 4353(galle)s 7(ys)k
240 fnt82 5018 4359(:)m 5191(g)s 1(alle)k 3(ys)k
5922(whose)s 6597(components)s 7812(are)s 8166(separated)s 0 4071(by)m
320(v)s 3(ertical)k 1114(concatenation)s 2525(symbols.)s 3514(There)s
4154(are)s 4527(also)s 4992(horizontal)s 6043(g)s 1(alle)k 3(ys,)k
6849(whose)s 7544(components)s 8779(are)s 0 3783(separated)m 951(by)s
1235(the)s 1574(horizontal)s 2588(concatenation)s 3963(operator)s 220 fnt35
4810 3780(&)m 240 fnt82 5002 3783(\(or)m 5331(equi)s 6(v)k 6(alently)k 15(,)k
6583(by)s 6867(spaces\).)s 7725(These)s 8342(w)s 2(ork)k
8883(in)s 0 3495(the)m 346(same)s 891(w)s 2(ay)k
1340(as)s 1588(v)s 3(ertical)k 2353(g)s 1(alle)k 3(ys,)k
3131(e)s 3(xcept)k 3810(for)s 4146(the)s 4492(change)s
5224(of)s 5493(direction.)s 6504(F)s 3(or)k 6891(e)s 3(xample,)k
7803(the)s 8149(follo)s 6(wing)k 0 3207(de\207nes)m 730(the)s
1079(equi)s 6(v)k 6(alent)k 2124(of)s 2396(an)s
2681(ordinary)s 3546(outdented)s 4549(paragraph,)s 5613(e)s 3(xcept)k
6295(that)s 6715(an)s 6999(option)s 7669(is)s 7880(pro)s 3(vided)k
8788(for)s 0 2919(v)m 6(arying)k 778(the)s 1126(size)s
1553(of)s 1824(the)s 2172(outdent:)s 220 fnt35 480 2418(def @OutdentP)m 8(ar)k
480 2130(    named outdent { 2f })m 480 1842(    r)m -3(ight x)k 480 1554({)m 480 1266(    def @P)m 8(arPlace { @Galle)k 4(y })k
480 690(    def @LineList)m 480 402(    {)m 480 114(        outdent @Wide {} | @P)m 26(Adjust @P)k 8(arPlace)k

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 34 40
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(34)m 240 fnt83 7257 13843(Chapter)m 8107(2.)s
8381(Details)s 220 fnt35 480 13207(        //1vx @LineList)m 480 12919(    })m 480 12343(    def @P)m 8(arGalle)k 4(y f)k 6(orce hor)k -3(iz)k 3(ontally into { @P)k 8(arPlace&&preceding })k
480 12055(        r)m -3(ight x)k 480 11767(    {)m 480 11479(        x)m 480 11191(    })m
480 10615(        @P)m 26(Adjust @P)k 8(arPlace)k 480 10327(    //  @P)m 8(arGalle)k 4(y { x &1r)k -8(t })k
480 10039(    //1vx  @LineList)m 480 9751(})m 240 fnt82 0 9257(Notice)m 703(the)s
1061(use)s 1446(of)s 220 fnt35 1727 9254(&1r)m -8(t)k
240 fnt82 2203 9257(to)m 2452(cancel)s 3127(the)s 3485(ef)s 6(fect)k
4091(of)s 220 fnt35 4372 9254(@P)m 26(Adjust)k 240 fnt82
5390 9257(on)m 5697(the)s 6055(last)s 6456(line)s 6880(of)s
7161(the)s 7519(paragraph.)s 8650(This)s 0 8969(de\207nition)m 969(has)s
1334(a)s 1494(problem)s 2346(in)s 2584(that)s 2996(there)s
3524(will)s 3945(be)s 4221(a)s 4382(concluding)s 5494(une)s 3(xpanded)k
220 fnt35 6701 8966(@LineList)m 240 fnt82 7730 8969(symbol)m 8484(which)s
0 8681(will)m 431(hold)s 921(up)s 1219(promotion)s 2279(of)s
2555(the)s 2909(enclosing)s 3884(g)s 1(alle)k 3(y;)k
4582(this)s 4983(problem)s 5846(may)s 6317(be)s 6605(\207x)s 3(ed)k
7144(by)s 7444(the)s 7797(same)s 8350(method)s 0 8393(used)m
497(to)s 736(end)s 1140(a)s 1306(list.)s 480 8019(In)m
735(an)s 1016(ideal)s 1533(w)s 2(orld,)k 2194(there)s
2725(w)s 2(ould)k 3378(be)s 3658(nothing)s 4442(further)s
5149(to)s 5386(say)s 5757(about)s 6347(horizontal)s 7369(g)s 1(alle)k 3(ys.)k
8204(Ho)s 6(we)k 6(v)k 3(er)k 0 7731(there)m
558(are)s 931(a)s 1123(fe)s 6(w)k 1555(dif)s 6(ferences)k
2686(which)s 3354(arise)s 3886(from)s 4436(v)s 6(arious)k
5211(practical)s 6113(considerations)s 7571(and)s 8001(limitations.)s 0 7443(Perhaps)m
808(some)s 1369(day)s 1769(a)s 1935(more)s 2482(perfect)s
3204(symmetry)s 4214(will)s 4640(be)s 4922(implemented.)s 480 7069(Each)m
1021(v)s 3(ertical)k 1795(g)s 1(alle)k 3(y)k
2436(has)s 2812(a)s 2985(\207x)s 3(ed)k 3526(\207nite)s
4080(width,)s 4738(and)s 5149(e)s 6(v)k 3(ery)k
5732(component)s 6863(is)s 7079(brok)s 2(en)k 7806(to)s
8052(that)s 8477(width.)s 0 6781(This)m 517(is)s 769(needed)s
1546(basically)s 2491(to)s 2772(trigger)s 3509(paragraph)s 4564(breaking.)s
5606(Ho)s 6(we)k 6(v)k 3(er)k 9(,)k
6608(there)s 7183(is)s 7434(no)s 7769(equi)s 6(v)k 6(alent)k
8855(of)s 0 6493(paragraph)m 1001(breaking)s 1879(in)s 2110(the)s
2446(v)s 3(ertical)k 3201(direction,)s 4145(so)s 4398(horizontal)s
5410(g)s 1(alle)k 3(ys)k 6122(do)s 6403(not)s
6757(ha)s 4(v)k 3(e)k 7246(an)s 3(y)k
7631(particular)s 8592(\207x)s 3(ed)k 0 6205(height.)m 762(Instead,)s
1559(each)s 2054(component)s 3178(has)s 3548(its)s 3824(o)s 6(wn)k
4288(indi)s 6(vidual)k 5307(height.)s 480 5831(When)m 1096(tw)s 2(o)k
1492(objects)s 2206(are)s 2539(separated)s 3485(by)s 220 fnt35
3766 5828(/)m 240 fnt82 3830 5831(,)m 3923(the)s 3(y)k
4372(are)s 4705(assigned)s 5573(the)s 5908(same)s 6441(width)s
7029(\(Section)s 7868(2.7\),)s 8340(and)s 8730(this)s 0 5543(holds)m
581(true)s 1020(e)s 6(v)k 3(en)k 1531(if)s
1760(the)s 2119(tw)s 2(o)k 2541(objects)s 3280(are)s
3639(subsequently)s 4954(separated)s 5926(by)s 6231(being)s 6828(promoted)s
7814(into)s 8251(dif)s 6(ferent)k 0 5255(tar)m 4(gets.)k
788(F)s 3(or)k 1169(e)s 3(xample,)k 2074(tw)s 2(o)k
2476(aligned)s 3229(equations)s 4189(will)s 4606(ha)s 4(v)k 3(e)k
5099(the)s 5439(same)s 5977(width,)s 6621(and)s 7016(hence)s
7622(their)s 8110(alignment)s 0 4967(will)m 437(be)s 731(preserv)s 3(ed,)k
1776(e)s 6(v)k 3(en)k 2287(if)s 2516(the)s 3(y)k
2991(appear)s 3699(in)s 3954(dif)s 6(ferent)k 4841(columns)s
5714(or)s 5985(pages.)s 6706(Ho)s 6(we)k 6(v)k 3(er)k 9(,)k
7677(e)s 6(v)k 3(en)k 8189(though)s 220 fnt35
8924 4964(&)m 240 fnt82 0 4679(aligns)m 635(the)s 996(marks)s
1644(of)s 1928(its)s 2217(tw)s 2(o)k 2640(parameters,)s
3807(it)s 4012(does)s 4515(not)s 4894(assign)s 5562(them)s
6113(a)s 6292(common)s 7200(height.)s 7975(This)s 8464(means)s
0 4391(that)m 416(the)s 762(height)s 1417(of)s 1686(an)s 3(y)k
2081(component)s 3202(of)s 3471(a)s 3634(horizontal)s 4656(g)s 1(alle)k 3(y)k
5288(promoted)s 6260(into)s 6683(one)s 7083(tar)s 4(get)k
7679(does)s 8167(not)s 8530(af)s 6(fect)k 0 4103(the)m
362(height)s 1034(consumed)s 2078(by)s 2386(the)s 2748(components)s
3971(promoted)s 4960(into)s 5400(an)s 3(y)k 5811(other)s
6376(tar)s 4(get.)k 7094(The)s 7536(other)s 8102(horizontal)s
0 3815(concatenation)m 1392(operator)s 9(,)k 220 fnt35 2293 3812(|)m
240 fnt82 2330 3815(,)m 2444(does)s 2941(assign)s 3604(a)s
3777(common)s 4679(height)s 5344(to)s 5590(its)s 5874(tw)s 2(o)k
6291(parameters;)s 7457(b)s 4(ut)k 7826(sequences)s 8855(of)s
0 3527(objects)m 728(separated)s 1688(by)s 1982(this)s 2378(operator)s
3234(cannot)s 3932(be)s 4214(the)s 4562(components)s 5770(of)s
6041(a)s 6207(horizontal)s 7231(g)s 1(alle)k 3(y)k 15(.)k
480 3153(Lout)m 985(is)s 1187(able)s 1633(to)s 1864(read)s
2325(v)s 3(ertical)k 3084(g)s 1(alle)k 3(ys)k
3800(one)s 4194(paragraph)s 5199(at)s 5424(a)s 5582(time;)s
6110(in)s 6345(this)s 6733(w)s 2(ay)k 7176(it)s
7360(processes)s 8319(the)s 8659(doc)s 8998(-)s 0 2865(ument)m
660(in)s 906(small)s 1481(chunks,)s 2270(ne)s 6(v)k 3(er)k
2855(holding)s 3642(more)s 4192(than)s 4664(a)s 4833(fe)s 6(w)k
5242(pages)s 5840(in)s 6086(memory)s 6940(at)s 7175(an)s 3(y)k
7575(time.)s 8166(Ho)s 6(we)k 6(v)k 3(er)k 9(,)k
0 2577(horizontal)m 1024(g)s 1(alle)k 3(ys)k 1748(are)s
2095(al)s 2(w)k 2(ays)k 2806(read)s 3275(in)s
3518(completely)s 15(,)k 4672(so)s 4938(the)s 3(y)k
5401(should)s 6098(not)s 6464(be)s 6746(e)s 3(xtremely)k
7752(long.)s 480 2203(In)m 744(principle)s 1658(Lout)s 2178(should)s
2884(be)s 3174(able)s 3637(to)s 3884(h)s 1(yphenate)k
4932(the)s 5288(components)s 6505(of)s 6784(horizontal)s 7817(g)s 1(alle)k 3(ys)k
8550(when)s 0 1915(the)m 3(y)k 463(are)s 810(simple)s
1503(w)s 2(ords,)k 2193(b)s 4(ut)k 2555(this)s
2951(is)s 3161(not)s 3527(implemented)s 4833(at)s 5065(present.)s
480 1541(In)m 738(an)s 1023(ideal)s 1544(w)s 2(orld,)k
2209(e)s 6(v)k 3(ery)k 2787(paragraph)s 3802(w)s 2(ould)k
4459(be)s 4743(treated)s 5452(as)s 5704(a)s 5872(horizontal)s
6898(g)s 1(alle)k 3(y)k 15(.)k 7629(Ho)s 6(we)k 6(v)k 3(er)k 9(,)k
8591(to)s 8833(do)s 0 1253(so)m 256(in)s 488(practice)s
1288(w)s 2(ould)k 1932(be)s 2203(too)s 2551(slo)s 6(w)k
3040(and)s 3433(w)s 2(ould)k 4077(lead)s 4522(to)s
4750(e)s 3(xcessi)k 6(v)k 3(e)k 5699(clumsiness)s
6788(in)s 7020(notation,)s 7900(so)s 8155(at)s 8376(present)s
0 965(Lout)m 509(has)s 876(tw)s 2(o)k 1282(competing)s
2342(mechanisms)s 3572(in)s 3811(this)s 4204(area:)s 4764(the)s
5108(b)s 4(uilt-in)k 5861(paragraph)s 6871(break)s 2(er)k
7641(with)s 8120(its)s 8392(limited)s 0 677(set)m 314(of)s
573(options)s 1318(as)s 1556(gi)s 6(v)k 3(en)k
2124(under)s 2718(the)s 220 fnt35 3054 674(@Break)m 240 fnt82
3899 677(operator)m 9(,)k 4781(and)s 5173(horizontal)s 6186(g)s 1(alle)k 3(ys.)k
7011(As)s 7317(the)s 7653(e)s 3(xample)k 8504(abo)s 3(v)k 3(e)k
0 389(sho)m 6(ws,)k 700(horizontal)s 1725(g)s 1(alle)k 3(ys)k
2449(are)s 2797(in)s 3040(principle)s 3946(capable)s 4733(of)s
5004(implementing)s 6386(man)s 3(y)k 6969(more)s 7517(paragraph)s
8531(styles)s 0 101(than)m 470(the)s 820(b)s 4(uilt-in)k
1578(paragraph)s 2593(break)s 2(er)k 3369(could)s 3961(e)s 6(v)k 3(er)k
4425(hope)s 4949(to)s 5190(do.)s 5596(The)s 6026(recommended)s
7441(practical)s 8319(strate)s 3(gy)k 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 35 41
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(2.9.)m 454(Horizontal)s 1551(galle)s 7(ys)k
240 fnt84 8833 13840(35)m 240 fnt82 0 13205(is)m 221(to)s
472(use)s 858(the)s 1218(b)s 4(uilt-in)k 1985(paragraph)s
3010(break)s 2(er)k 3795(most)s 4332(of)s 4614(the)s
4974(time,)s 5516(and)s 5932(switch)s 6624(to)s 6875(horizontal)s
7910(g)s 1(alle)k 3(ys)k 8646(only)s 0 12917(for)m
338(occasional)s 1402(tricks,)s 2039(such)s 2535(as)s 2785(paragraphs)s
3885(with)s 4367(drop)s 4859(capitals,)s 5695(circular)s 6483(outlines,)s
7347(etc.)s 240 fnt84 0 12124(2.10.)m 591(Optimal)s 1495(galley)s
2149(br)s 4(eaking)k 240 fnt82 480 11647(As)m 814(e)s 3(xplained)k
1817(in)s 2077(Section)s 2869(2.7,)s 3294(the)s 3659(components)s
4885(of)s 5174(a)s 5357(g)s 1(alle)k 3(y)k
6009(are)s 6373(promoted)s 7366(one)s 7786(by)s 8097(one)s
8517(into)s 8960(a)s 0 11359(tar)m 4(get.)k 703(When)s
1332(space)s 1919(runs)s 2382(out)s 2748(there,)s 3332(the)s
3680(g)s 1(alle)k 3(y)k 4314(searches)s 5174(for)s
5512(a)s 5678(ne)s 6(w)k 6125(tar)s 4(get)k
6724(and)s 7128(promotion)s 8182(resumes.)s 480 10985(This)m 977(process)s
1766(is)s 1997(e)s 3(xactly)k 2759(analogous)s 3802(to)s
4062(placing)s 4840(w)s 2(ords)k 5495(onto)s 5995(a)s
6182(line)s 6617(until)s 7131(space)s 7739(runs)s 8223(out,)s
8657(then)s 0 10697(mo)m 3(ving)k 776(to)s 1008(another)s
1778(line.)s 2293(But,)s 2740(as)s 2983(we)s 3311(kno)s 6(w)k 15(,)k
3923(that)s 4335(simple)s 5021(method)s 5790(is)s 5993(inferior)s
6762(to)s 6994(the)s 7335(optimal)s 8113(paragraph)s 0 10409(breaking)m
893(used)s 1393(by)s 1690(Lout)s 2206(\(copied)s 2984(from)s
3511(the)s 3863(T)s 3959 10361(E)m 4067 10409(X)m 4299(system\),)s
5152(which)s 5797(e)s 3(xamines)k 6752(the)s 7103(entire)s
7705(paragraph)s 8722(and)s 0 10121(determines)m 1099(the)s 1447(most)s
1972(e)s 6(v)k 3(en)k 2472(assignment)s 3608(of)s
3879(w)s 2(ords)k 4513(to)s 4752(lines.)s 480 9747(Lout)m
1050(of)s 6(fers)k 240 fnt83 1709 9749(optimal)m 2559(galle)s 7(y)k
3250(br)s 8(eaking)k 240 fnt82 4087 9747(,)m 4252(the)s
4659(equi)s 6(v)k 6(alent)k 5761(for)s 6157(g)s 1(alle)k 3(ys)k
6940(of)s 7269(optimal)s 8113(paragraph)s 0 9459(breaking.)m 1020(Optimal)s
1878(g)s 1(alle)k 3(y)k 2532(breaking)s 3442(can)s
3851(reduce)s 4564(the)s 4932(size)s 5378(of)s 5669(ugly)s
6169(blank)s 6782(spaces)s 7477(at)s 7729(the)s 8097(bottom)s
8855(of)s 0 9171(pages)m 596(preceding)s 1592(lar)s 4(ge)k
2121(unbreakable)s 3346(displays,)s 4237(sometimes)s 5310(quite)s 5844(dramatically)s 15(.)k
480 8797(Optimal)m 1337(g)s 1(alle)k 3(y)k 1990(breaking)s
2900(is)s 3129(applied)s 3910(to)s 4169(each)s 4683(g)s 1(alle)k 3(y)k 15(,)k
5375(horizontal)s 6418(or)s 6696(v)s 3(ertical,)k 7535(that)s
7972(possesses)s 8960(a)s 0 8509(parameter)m 1036(or)s 1317(nested)s
2008(symbol)s 2790(called)s 220 fnt35 3440 8506(@Optimiz)m 3(e)k
240 fnt82 4599 8509(whose)m 5290(v)s 6(alue)k 5880(is)s
220 fnt35 6112 8506(Y)m 30(es)k 240 fnt82 6453 8509(.)m
6639(Lik)s 2(e)k 7153(cross)s 7717(referencing,)s 8934(it)s
0 8221(tak)m 2(es)k 539(tw)s 2(o)k 947(runs)s
1409(to)s 1646(ha)s 4(v)k 3(e)k 2145(ef)s 6(fect.)k
2844(On)s 3192(the)s 3538(\207rst)s 3968(run,)s 4392(Lout)s
4902(records)s 5655(the)s 6001(sizes)s 6514(of)s 6784(the)s
7130(g)s 1(alle)k 3(y')k 13(s)k 7918(components)s
0 7933(and)m 393(g)s 1(aps,)k 927(and)s 1319(also)s
1746(the)s 2083(space)s 2658(a)s 4(v)k 6(ailable)k
3555(at)s 3776(each)s 4259(of)s 4519(its)s 4783(tar)s 4(gets.)k
5568(At)s 5856(end)s 6248(of)s 6508(run)s 6873(this)s
7257(information)s 8431(is)s 8629(used)s 0 7645(to)m 232(\207nd)s
656(an)s 932(optimal)s 1709(break,)s 2340(which)s 2975(is)s
3177(written)s 3903(to)s 4135(the)s 4475(cross-reference)s 5981(database.)s
6961(On)s 7303(the)s 7644(second)s 8360(run,)s 8778(the)s
0 7357(optimal)m 785(break)s 1377(is)s 1587(retrie)s 6(v)k 3(ed)k
2484(and)s 2888(used.)s 480 6983(Considering)m 1727(that)s 2170(this)s
2590(process)s 3383(must)s 3932(cope)s 4465(with)s 4971(\210oating)s
5780(\207gures,)s 6562(ne)s 6(w)k 7034(page)s 7566(and)s
7995(conditional)s 0 6695(ne)m 6(w)k 460(page)s 982(symbols,)s
1901(breaks)s 2589(for)s 2941(ne)s 6(w)k 3402(chapters,)s
4318(and)s 4736(e)s 6(v)k 4(olving)k 5631(documents,)s
6788(it)s 6994(is)s 7218(surprisingly)s 8428(rob)s 4(ust.)k
0 6407(If)m 250(it)s 463(does)s 974(go)s 1287(badly)s
1894(wrong,)s 2634(remo)s 3(ving)k 3621(\207le)s 220 fnt35
4003 6404(lout.li)m 240 fnt82 4580 6407(then)m 5069(running)s 5888(Lout)s
6421(twice)s 7014(without)s 7826(changing)s 8778(the)s 0 6119(document)m
1036(may)s 1534(solv)s 3(e)k 2125(the)s 2505(problem.)s
3498(Ho)s 6(we)k 6(v)k 3(er)k 9(,)k
4491(cases)s 5078(are)s 5457(kno)s 6(wn)k 6194(where)s
6866(the)s 7246(optimization)s 8544(ne)s 6(v)k 3(er)k
0 5831(con)m 9(v)k 3(er)k 4(ges.)k 1151(These)s
1812(are)s 2193(usually)s 2972(related)s 3713(to)s 3986(\207gures)s
4721(and)s 5159(footnotes)s 6134(whose)s 6836(anchor)s 7581(points)s
8251(f)s 2(all)k 8655(near)s 0 5543(page)m 508(boundaries.)s

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 36 42
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
480 fnt84 0 12955(Chapter)m 1819(3.)s 2400(Pr)s 8(ede\207ned)k
4711(symbols)s 240 fnt84 0 11691(3.1.)m 471(@Begin)s 1335(and)s
1776(@End)s 240 fnt82 480 11214(The)m 905(body)s 1435(of)s
1702(a)s 1864(symbol)s 220 fnt35 2620 11211(@Sym)m 240 fnt82
3324 11214(may)m 3786(be)s 4064(enclosed)s 4955(in)s 220 fnt35
5194 11211(@Begin)m 240 fnt82 6019 11214(and)m 220 fnt35 6419 11211(@End)m
7076(@Sym)s 240 fnt82 7780 11214(instead)m 8511(of)s 8778(the)s
0 10926(more)m 547(usual)s 1107(braces:)s 220 fnt35 480 10475(def @Section)m
480 10187(    named @Title {})m 480 9899(    r)m -3(ight @Body)k 480 9611(@Begin)m 480 9323(    @Title //2v @Body)m
480 9035(@End @Section)m 240 fnt82 0 8580(The)m 3(y)k 543(may)s
1009(also)s 1447(enclose)s 2220(the)s 2568(right)s 3079(or)s
3338(body)s 3872(parameter)s 4886(of)s 5157(a)s 5323(symbol)s
6083(in)s 9(v)k 4(ocation:)k 220 fnt35 480 8079(@Chapter)m
480 7791(    @Title { Introduction })m 480 7503(@Begin)m 480 7215(This subject needs no introduction.)m 480 6927(@End @Chapter)m 240 fnt82
0 6431(Apart)m 651(from)s 1222(their)s 1767(utility)s 2438(as)s
2735(documentation)s 4262(aids,)s 4801(these)s 5396(forms)s 6051(allo)s 6(w)k
6677(Basser)s 7422(Lout)s 7981(to)s 8268(pinpoint)s 0 6143(mismatched)m
1206(braces,)s 1915(which)s 2549(can)s 2930(otherwise)s 3908(create)s
4525(total)s 4996(ha)s 4(v)k 4(oc.)k 5716(F)s 3(or)k
6098(this)s 6486(reason,)s 7209(the)s 3(y)k 7664(should)s
8353(enclose)s 0 5855(the)m 339(major)s 946(parts)s 1451(of)s
1712(documents,)s 2846(such)s 3333(as)s 3573(chapters)s 4410(and)s
4804(sections.)s 5728(Note)s 6240(that)s 6648(braces)s 7299(cannot)s
7987(be)s 8259(replaced)s 0 5567(by)m 220 fnt35 294 5564(@Begin)m
240 fnt82 1123 5567(and)m 220 fnt35 1527 5564(@End)m 240 fnt82
2188 5567(in)m 2431(general.)s 240 fnt84 0 4774(3.2.)m 471(Concatenation)s
2015(symbols)s 2893(and)s 3334(paragraphs)s 240 fnt82 480 4297(There)m
1093(are)s 1440(ten)s 1789(concatenation)s 3174(symbols,)s 4079(in)s
4322(three)s 4855(f)s 2(amilies:)k 220 fnt35 480 3756(/)m
962(^/)s 1547(//)s 2012(^//)s 240 fnt82 2580 3759(V)m 26(ertical)k
3377(concatenation)s 220 fnt35 480 3468(|)m 962(^|)s 1547(||)s
2012(^||)s 240 fnt82 2580 3471(Horizontal)m 3657(concatenation)s 220 fnt35
480 3180(&)m 962(^&)s 240 fnt82 2580 3183(In-paragraph)m 3871(concatenation)s
0 2642(Each)m 587(symbol)s 1399(produces)s 2367(an)s 2702(object)s
3398(which)s 4093(combines)s 5113(together)s 6008(the)s 6409(tw)s 2(o)k
6871(parameters.)s 8134(The)s 8615(right)s 0 2354(parameter)m 1014(must)s
1539(be)s 1821(separated)s 2781(from)s 3305(the)s 3653(symbol)s
4413(by)s 4707(at)s 4939(least)s 5436(one)s 5838(white)s
6425(space)s 7012(character)s 13(.)k 480 1980(The)m 906(v)s 3(ertical)k
1670(concatenation)s 3052(symbol)s 220 fnt35 3809 1977(/)m 240 fnt82
3930 1980(places)m 4575(its)s 4848(left)s 5222(parameter)s 6233(abo)s 3(v)k 3(e)k
6852(its)s 7125(right)s 7633(parameter)s 8644(with)s 0 1692(their)m
519(column)s 1317(marks)s 1975(aligned.)s 2866(If)s 3119(one)s
3544(parameter)s 4581(has)s 4973(more)s 5543(column)s 6341(marks)s
6999(than)s 7491(the)s 7862(other)s 9(,)k 8474(empty)s
0 1404(columns)m 868(are)s 1221(inserted)s 2041(at)s 2279(the)s
2633(right)s 3150(to)s 3395(equalize)s 4253(the)s 4607(numbers.)s
5601(The)s 6035(v)s 6(ariant)k 220 fnt35 6758 1401(//)m
240 fnt82 6949 1404(ignores)m 7710(column)s 8491(marks)s 0 1116(and)m
404(left-justi\207es)s 1594(the)s 1942(objects.)s 480 742(The)m 896(horizontal)s
1908(concatenation)s 3280(symbols)s 220 fnt35 4117 739(|)m 240 fnt82
4201 742(and)m 220 fnt35 4593 739(||)m 240 fnt82 4734 742(are)m
5069(horizontal)s 6080(analogues)s 7076(of)s 220 fnt35 7334 739(/)m
240 fnt82 7446 742(and)m 220 fnt35 7837 739(//)m 240 fnt82
7962 742(:)m 8116(the)s 3(y)k 8566(place)s 192 fnt84
4439 2(36)m 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 37 43
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(3.2.)m 454(Concatenation)s 1918(symbols)s 2744(and)s
3170(par)s 3(a)k 2(gr)k 3(aphs)k 240 fnt84
8831 13840(37)m 240 fnt82 0 13205(their)m 488(tw)s 2(o)k
888(parameters)s 1976(side)s 2407(by)s 2692(side,)s 3174(with)s
3646(ro)s 6(w)k 4056(mark)s 4599(alignment)s 5605(or)s
5854(top-justi\207cation)s 7414(respecti)s 6(v)k 3(ely)k 15(.)k
8698(The)s 0 12917(in-paragraph)m 1278(concatenation)s 2663(symbol)s 220 fnt35
3423 12914(&)m 240 fnt82 3625 12917(produces)m 4540(horizontal)s 5564(concatenation)s
6949(within)s 7617(a)s 7783(paragraph;)s 8850(its)s 0 12629(special)m
718(properties)s 1724(are)s 2071(treated)s 2778(in)s 3021(detail)s
3606(at)s 3838(the)s 4186(end)s 4590(of)s 4861(this)s
5257(section.)s 480 12255(The)m 908(concatenation)s 2293(symbols)s 3142(in)s
3385(an)s 3(y)k 3782(one)s 4184(f)s 2(amily)k
4859(are)s 240 fnt83 5206 12257(mutually)m 6099(associative)s 240 fnt82
7154 12255(,)m 7261(which)s 7903(means)s 8565(that)s 220 fnt35
480 11754({)m 240 fnt83 664 11759(x)m 220 fnt35 890 11754(|)m
240 fnt83 927 11759(p)m 1160(y)s 220 fnt35 1382 11754(})m
1566(|)s 240 fnt83 1603 11759(q)m 1839(z)s 240 fnt82
0 11258(is)m 210(al)s 2(w)k 2(ays)k 921(the)s
1269(same)s 1816(as)s 240 fnt83 480 10762(x)m 220 fnt35
706 10757(|)m 240 fnt83 743 10762(p)m 220 fnt35 976 10757({)m
240 fnt83 1160 10762(y)m 220 fnt35 1382 10757(|)m 240 fnt83
1419 10762(q)m 1655(z)s 220 fnt35 1866 10757(})m 240 fnt82
0 10261(for)m 339(an)s 3(y)k 737(objects)s 240 fnt83
1466 10263(x)m 240 fnt82 1572 10261(,)m 240 fnt83 1680 10263(y)m
240 fnt82 1782 10261(,)m 1891(and)s 240 fnt83 2296 10263(z)m
240 fnt82 2387 10261(,)m 2495(an)s 3(y)k 2893(g)s 1(aps)k
240 fnt83 3383 10263(p)m 240 fnt82 3558 10261(and)m 240 fnt83
3963 10263(q)m 240 fnt82 4140 10261(\(de\207ned)m 4983(belo)s 6(w\),)k
5750(and)s 6155(an)s 3(y)k 6553(choice)s 7234(of)s
220 fnt35 7506 10258(|)m 240 fnt82 7543 10261(,)m 220 fnt35
7652 10258(^|)m 240 fnt82 7792 10261(,)m 220 fnt35 7900 10258(||)m
240 fnt82 7994 10261(,)m 8102(and)s 220 fnt35 8507 10258(^||)m
240 fnt82 8704 10261(.)m 8870(In)s 0 9973(practice)m 803(we)s
1130(al)s 2(w)k 2(ays)k 1833(omit)s 2323(such)s
2811(braces,)s 3520(since)s 4059(the)s 3(y)k 4513(are)s
4852(redundant)s 5861(and)s 6257(can)s 6638(be)s 6912(misleading.)s
8117(The)s 8536(result)s 0 9685(of)m 277(the)s 631(complete)s
1569(sequence)s 2508(of)s 2786(concatenations)s 4264(will)s 4696(be)s
4984(called)s 5619(the)s 240 fnt83 5973 9687(whole)m 6604(concatenation)s
8020(object)s 240 fnt82 8608 9685(,)m 8722(and)s 0 9397(the)m
348(objects)s 1076(which)s 1718(mak)s 2(e)k 2290(it)s
2482(up)s 2775(will)s 3201(be)s 3483(called)s 4111(the)s
240 fnt83 4459 9399(components)m 240 fnt82 5598 9397(.)m 480 9023(One)m
938(mark)s 1494(is)s 1708(designated)s 2793(as)s 3047(the)s
240 fnt83 3398 9025(principal)m 4339(mark)s 240 fnt82 4835 9023(,)m
4946(usually)s 5695(the)s 6047(mark)s 6602(of)s 6877(the)s
7229(\207rst)s 7664(component.)s 8896(A)s 0 8735(later)m 486(mark)s
1042(can)s 1435(be)s 1721(chosen)s 2447(for)s 2789(this)s
3189(honour)s 3932(by)s 4230(attaching)s 220 fnt35 5163 8732(^)m
240 fnt82 5333 8735(to)m 5576(the)s 5928(preceding)s 6928(concatenation)s
8317(symbol.)s 0 8447(See)m 401(Section)s 1175(3.10)s 1650(for)s
1988(e)s 3(xamples.)k 480 8073(A)m 240 fnt83 712 8075(gap)m
240 fnt82 1065 8073(,)m 1175(specifying)s 2227(the)s 2578(distance)s
3420(between)s 4277(the)s 4627(tw)s 2(o)k 5040(parameters,)s
6197(may)s 6666(follo)s 6(w)k 7341(an)s 3(y)k
7741(concatenation)s 0 7785(symbol.)m 866(There)s 1475(may)s 1937(be)s
2215(no)s 2504(spaces)s 3176(between)s 4026(a)s 4188(concatenation)s
5569(symbol)s 6325(and)s 6726(its)s 6998(g)s 1(ap.)k
7503(A)s 7729(missing)s 8522(g)s 1(ap)k 8916(is)s
0 7497(tak)m 2(en)k 569(to)s 803(be)s 220 fnt35
1081 7494(0ie)m 240 fnt82 1365 7497(.)m 1524(The)s 1948(g)s 1(ap)k
2341(is)s 2546(ef)s 6(fecti)k 6(v)k 3(ely)k
3601(a)s 3762(third)s 4267(parameter)s 5276(of)s 5542(the)s
5886(concatenation)s 7266(symbol,)s 8074(and)s 8473(it)s 8660(may)s
0 7209(be)m 289(an)s 579(arbitrary)s 1462(object)s 2113(pro)s 3(vided)k
3026(that)s 3452(it)s 3651(e)s 6(v)k 6(aluates)k
4586(to)s 4833(a)s 5006(juxtaposition)s 6319(of)s 6598(simple)s
7298(w)s 2(ords.)k 8052(In)s 8316(general,)s 0 6921(the)m
348(g)s 1(ap)k 746(must)s 1271(be)s 1553(enclosed)s
2448(in)s 2691(braces,)s 3408(lik)s 2(e)k 3820(this:)s
220 fnt35 480 6420(//{  @Style&&m)m 3(ystyle @Open { @T)k 26(opMargin }  })k 240 fnt82
0 5921(b)m 4(ut)k 349(the)s 684(braces)s 1332(may)s
1785(be)s 2053(omitted)s 2828(when)s 3391(the)s 3726(object)s
4356(is)s 4553(a)s 4706(juxtaposition)s 5999(of)s 6256(simple)s
6936(w)s 2(ords)k 7557(or)s 7803(an)s 8072(in)s 9(v)k 4(ocation)k
0 5633(of)m 271(a)s 437(symbol)s 1197(without)s 1988(parameters,)s
3142(as)s 3392(in)s 220 fnt35 3635 5630(//0.3vx)m 240 fnt82
4340 5633(and)m 220 fnt35 4744 5630(||@Indent)m 240 fnt82 5687 5633(.)m
480 5259(A)m 704(g)s 1(ap)k 1096(consists)s 1898(of)s
2162(a)s 2322(length)s 2971(plus)s 3415(a)s 3574(g)s 1(ap)k
3966(mode)s 4548(plus)s 4992(an)s 5268(optional)s 6101(indication)s
7108(of)s 7373(unbreakability)s 15(.)k 8896(A)s 240 fnt83
0 4973(length)m 240 fnt82 659 4971(is)m 875(represented)s 2040(by)s
2341(an)s 2630(decimal)s 3447(number)s 4244(\(which)s 4972(may)s
5444(not)s 5816(be)s 6104(ne)s 3(g)k 1(ati)k 6(v)k 3(e\))k
7036(follo)s 6(wed)k 7944(by)s 8244(a)s 8416(unit)s
8855(of)s 0 4683(measurement.)m 1437(F)s 3(or)k 1825(e)s 3(xample,)k
220 fnt35 2738 4680(2.5c)m 240 fnt82 3207 4683(represents)m 4225(the)s
4572(length)s 5226(2.5)s 5571(centimetres.)s 6834(Figure)s 7513(3.1)s
7847(gi)s 6(v)k 3(es)k 8393(the)s 8740(full)s
0 4395(selection)m 906(of)s 1177(units)s 1693(of)s 1964(measurement.)s
480 4021(After)m 1045(the)s 1396(length)s 2054(comes)s 2718(an)s
3004(optional)s 240 fnt83 3846 4023(gap)m 4261(mode)s 240 fnt82
4773 4021(,)m 4883(which)s 5528(is)s 5740(a)s 5909(single)s
6539(letter)s 7090(follo)s 6(wing)k 8070(the)s 8421(length,)s
0 3733(indicating)m 1031(ho)s 6(w)k 1514(the)s 1884(length)s
2562(is)s 2794(to)s 3055(be)s 3359(measured.)s 4462(As)s
4801(sho)s 6(wn)k 5500(in)s 5765(Figure)s 6468(3.2,)s
6897(with)s 7401(edge-to-edge)s 8728(g)s 1(ap)k 0 3445(mode)m
603(the)s 967(length)s 240 fnt83 1638 3447(l)m 240 fnt82
1780 3445(is)m 2006(measured)s 2996(from)s 3536(the)s 3900(trailing)s
4658(edge)s 5181(of)s 5468(the)s 5832(\207rst)s 6279(object)s
6939(to)s 7194(the)s 7558(leading)s 8331(edge)s 8855(of)s
0 3157(the)m 347(second.)s 1174(Edge-to-edge)s 2516(is)s 2725(the)s
3071(def)s 2(ault)k 3790(mode:)s 4486(the)s 220 fnt35
4833 3154(e)m 240 fnt82 5005 3157(may)m 5469(be)s 5749(omitted.)s
6642(Hyphenation)s 7934(g)s 1(ap)k 8330(mode)s 8916(is)s
0 2869(similar)m 9(,)k 760(e)s 3(xcept)k 1441(as)s
1691(e)s 3(xplained)k 2676(at)s 2908(the)s 3256(end)s
3660(of)s 3931(this)s 4327(section.)s 480 2495(Mark-to-mark,)m 1957(o)s 3(v)k 3(erstrik)k 2(e,)k
3028(and)s 3450(k)s 2(erning)k 4249(measure)s 5118(the)s
5484(length)s 6156(from)s 6698(the)s 7063(last)s 7471(mark)s
8041(of)s 8329(the)s 8695(\207rst)s 0 2207(object)m 648(to)s
892(the)s 1245(\207rst)s 1680(mark)s 2237(of)s 2513(the)s
2865(second.)s 3699(In)s 3960(the)s 4312(case)s 4784(of)s
5060(mark-to-mark,)s 6497(if)s 6719(the)s 7072(length)s 7731(is)s
7946(too)s 8310(small)s 8887(to)s 0 1919(pre)m 6(v)k 3(ent)k
771(the)s 1123(objects)s 1855(almost)s 2556(o)s 3(v)k 3(erlapping,)k
3804(it)s 4000(is)s 4214(widened)s 5087(until)s 5584(the)s 3(y)k
6051(no)s 6348(longer)s 7023(do.)s 7431(\(The)s 7942(e)s 3(xtra)k
240 fnt83 8480 1921(l/10)m 240 fnt82 8916 1919(is)m 0 1631(not)m
362(applied)s 1119(when)s 1690(plain)s 2220(te)s 3(xt)k
2630(output)s 3298(is)s 3503(in)s 3741(ef)s 6(fect.\))k
4520(K)s 6(erning)k 5346(also)s 5780(widens,)s 6560(with)s
7037(the)s 7380(aim)s 7793(of)s 8059(pre)s 6(v)k 3(enting)k
0 1343(the)m 372(mark)s 948(of)s 1243(either)s 1870(object)s
2539(from)s 3087(o)s 3(v)k 3(erlapping)k 4301(the)s
4673(other)s 5248(object;)s 5969(this)s 6389(mode)s 7001(is)s
7235(used)s 7756(for)s 8119(subscripts)s 0 1055(and)m 404(superscripts.)s
558 681(T)m 19(ab)k 4(ulation)k 1646(ignores)s 2419(the)s
2785(\207rst)s 3234(object)s 3896(and)s 4318(places)s 4984(the)s
5350(leading)s 6125(edge)s 6651(of)s 6940(the)s 7306(second)s
8047(object)s 8709(at)s 8960(a)s 0 393(distance)m 240 fnt83
842 395(l)m 240 fnt82 971 393(from)m 1498(the)s 1849(left)s
2229(edge)s 2740(of)s 3014(the)s 3365(whole)s 4009(concatenation)s
5397(object.)s 6148(It)s 6356(is)s 6569(the)s 6920(main)s
7458(user)s 7919(of)s 8193(the)s 220 fnt35 8544 390(b)m
240 fnt82 8722 393(and)m 220 fnt35 0 102(r)m 240 fnt82
141 105(units)m 666(of)s 945(measurement;)s 2340(for)s 2686(e)s 3(xample,)k
220 fnt35 3609 102(|1r)m -8(t)k 240 fnt82 3994 105(will)m
4429(right-justify)s 5631(the)s 5988(follo)s 6(wing)k 6973(component,)s
8153(and)s 220 fnt35 8566 102(|0.5r)m -8(t)k 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 38 44
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(38)m 240 fnt83 6081 13843(Chapter)m 6931(3.)s
7205(Pr)s 8(ede\207ned)k 8300(symbols)s gsave
0 13282 translate
240 fnt82 0 86 0 86 240 288 60 LoutGraphic
gsave
0.5 pt ltabvs
grestore

grestore
gsave
0 13368 translate
240 fnt82 170 0 0 0 240 288 60 LoutGraphic
gsave
0.5 pt ltabhsp
grestore

grestore
gsave
0 13113 translate
240 fnt82 0 169 0 60 240 288 60 LoutGraphic
gsave
0.5 pt ltabvs
grestore

grestore
gsave
0 13027 translate
240 fnt82 0 86 0 0 240 288 60 LoutGraphic
gsave
0.5 pt ltabvs
grestore

grestore
gsave
170 13368 translate
240 fnt82 169 0 0 0 240 288 60 LoutGraphic
gsave
0.5 pt ltabhs
grestore

grestore
220 fnt35 170 13116(c)m
gsave
339 13368 translate
240 fnt82 170 0 0 0 240 288 60 LoutGraphic
gsave
0.5 pt ltabhs
grestore

grestore
gsave
509 13368 translate
240 fnt82 170 0 0 0 240 288 60 LoutGraphic
gsave
0.5 pt ltabhs
grestore

grestore
gsave
679 13368 translate
240 fnt82 8217 0 0 0 240 288 60 LoutGraphic
gsave
0.5 pt ltabhs
grestore

grestore
240 fnt82 679 13119(Centimetres.)m 170 0 0 0 240 288 60 8896 13368 LoutGr2
0.5 pt ltabhsp
grestore

grestore
0 86 0 86 240 288 60 9066 13282 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 169 0 60 240 288 60 9066 13113 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 9066 13027 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 86 240 288 60 0 12941 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 166 0 57 240 288 60 0 12775 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 0 12689 LoutGr2
0.5 pt ltabvs
grestore

grestore
220 fnt35 170 12775(i)m 240 fnt82
679 12778(Inches.)m 0 86 0 86 240 288 60 9066 12941 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 166 0 57 240 288 60 9066 12775 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 9066 12689 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 86 240 288 60 0 12603 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 211 0 102 240 288 60 0 12392 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 0 12306 LoutGr2
0.5 pt ltabvs
grestore

grestore
220 fnt35 170 12437(p)m 240 fnt82 679 12440(Points)m
1328(\()s 220 fnt35 1401 12437(72p)m 240 fnt82 1819 12440(=)m
220 fnt35 2007 12437(1i)m 240 fnt82 2163 12440(\).)m 0 86 0 86 240 288 60 9066 12603 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 211 0 102 240 288 60 9066 12392 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 9066 12306 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 86 240 288 60 0 12220 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 204 0 96 240 288 60 0 12016 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 0 11930 LoutGr2
0.5 pt ltabvs
grestore

grestore
220 fnt35
170 12055(m)m 240 fnt82 679 12058(Ems)m 1155(\()s 220 fnt35
1228 12055(12m)m 240 fnt82 1701 12058(=)m 220 fnt35 1889 12055(1i)m
240 fnt82 2045 12058(\).)m 0 86 0 86 240 288 60 9066 12220 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 204 0 96 240 288 60 9066 12016 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 9066 11930 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 86 240 288 60 0 11844 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 503 0 394 240 288 60 0 11341 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 0 11255 LoutGr2
0.5 pt ltabvs
grestore

grestore
220 fnt35 170 11678(f)m 240 fnt82
679 11681(One)m 220 fnt35 1123 11678(f)m 240 fnt82 1229 11681(equals)m
1879(the)s 2215(size)s 2631(of)s 2890(the)s 3226(current)s
3950(font,)s 4431(as)s 4669(speci\207ed)s 5565(by)s 5847(the)s
220 fnt35 6184 11678(@F)m 6(ont)k 240 fnt82 6884 11681(symbol)m
7632(\(Section)s 8473(3.3\).)s 679 11393(This)m 1155(unit)s 1587(is)s
1797(appropriate)s 2941(for)s 3279(lengths)s 4021(that)s 4439(should)s
5136(change)s 5870(with)s 6352(the)s 6700(font)s 7145(size.)s
0 86 0 86 240 288 60 9066 11844 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 503 0 394 240 288 60 9066 11341 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 9066 11255 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 86 240 288 60 0 11169 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 503 0 394 240 288 60 0 10666 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 0 10580 LoutGr2
0.5 pt ltabvs
grestore

grestore
220 fnt35 170 11003(s)m 240 fnt82 679 11006(One)m 220 fnt35
1125 11003(s)m 240 fnt82 1279 11006(equals)m 1932(the)s 2271(preferred)s
3194(g)s 1(ap)k 3582(between)s 4427(tw)s 2(o)k
4828(w)s 2(ords)k 5453(in)s 5687(the)s 6025(current)s
6752(font,)s 7235(as)s 7476(speci\207ed)s 8375(in)s 8608(the)s
679 10718(de\207nition)m 1653(of)s 1924(the)s 2272(font,)s 2764(or)s
3023(by)s 3317(the)s 220 fnt35 3665 10715(@Space)m 240 fnt82
4562 10718(symbol)m 5322(\(Section)s 6175(3.4\).)s 0 86 0 86 240 288 60 9066 11169 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 503 0 394 240 288 60 9066 10666 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 9066 10580 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 86 240 288 60 0 10494 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 791 0 682 240 288 60 0 9703 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 0 9617 LoutGr2
0.5 pt ltabvs
grestore

grestore
220 fnt35 170 10328(v)m
240 fnt82 679 10331(One)m 220 fnt35 1149 10328(v)m 240 fnt82
1334 10331(equals)m 2011(the)s 2375(current)s 3126(g)s 1(ap)k
3540(between)s 4410(lines)s 4927(introduced)s 6024(during)s 6717(paragraph)s
7746(breaking,)s 8706(as)s 679 10043(speci\207ed)m 1574(by)s 1854(the)s
220 fnt35 2188 10040(@Break)m 240 fnt82 3030 10043(symbol)m 3777(\(Section)s
4616(3.4\).)s 5145(This)s 5607(unit)s 6026(is)s 6222(appropriate)s
7352(for)s 7676(lengths,)s 8460(such)s 679 9755(as)m 929(the)s
1277(spaces)s 1952(between)s 2806(paragraphs,)s 3962(which)s 4604(should)s
5301(change)s 6035(with)s 6517(the)s 6865(inter)s 4(-line)k
7791(g)s 1(ap.)k 0 86 0 86 240 288 60 9066 10494 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 791 0 682 240 288 60 9066 9703 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 9066 9617 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 86 240 288 60 0 9531 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 454 0 345 240 288 60 0 9077 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 0 8991 LoutGr2
0.5 pt ltabvs
grestore

grestore
220 fnt35 170 9365(w)m 240 fnt82
679 9368(One)m 220 fnt35 1167 9365(w)m 240 fnt82 1416 9368(equals)m
2111(the)s 2493(width)s 3128(of)s 3432(the)s 3813(follo)s 6(wing)k
4824(component,)s 6028(or)s 6320(its)s 6629(height)s 7321(if)s
7571(the)s 7952(symbol)s 8746(is)s 679 9080(v)m 3(ertical)k
1446(concatenation.)s 0 86 0 86 240 288 60 9066 9531 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 454 0 345 240 288 60 9066 9077 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 9066 8991 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 86 240 288 60 0 8905 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 454 0 345 240 288 60 0 8451 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 0 8365 LoutGr2
0.5 pt ltabvs
grestore

grestore
220 fnt35 170 8739(b)m 240 fnt82 679 8742(One)m
220 fnt35 1133 8739(b)m 240 fnt82 1305 8742(equals)m 1965(the)s
2311(width)s 2912(of)s 3181(the)s 3527(whole)s 4166(concatenation)s
5550(object,)s 6239(or)s 6496(its)s 6770(height)s 7427(if)s
7642(the)s 7988(symbol)s 8746(is)s 679 8454(v)m 3(ertical)k
1446(concatenation.)s 0 86 0 86 240 288 60 9066 8905 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 454 0 345 240 288 60 9066 8451 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 9066 8365 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 86 240 288 60 0 8279 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 503 0 394 240 288 60 0 7776 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 0 7690 LoutGr2
0.5 pt ltabvs
grestore

grestore
220 fnt35 170 8113(r)m 240 fnt82 679 8116(One)m
220 fnt35 1176 8113(r)m 240 fnt82 1352 8116(equals)m 2057(one)s
220 fnt35 2502 8113(b)m 240 fnt82 2718 8116(minus)m 3397(one)s
220 fnt35 3842 8113(w)m 240 fnt82 3998 8116(.)m 4205(This)s
4723(unit)s 5198(is)s 5451(used)s 5991(for)s 6371(centring,)s
7304(and)s 7751(for)s 8132(left)s 8552(and)s 679 7828(right)m
1190(justi\207cation.)s 0 86 0 86 240 288 60 9066 8279 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 503 0 394 240 288 60 9066 7776 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 9066 7690 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 86 240 288 60 0 7604 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 215 0 106 240 288 60 0 7389 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 0 7303 LoutGr2
0.5 pt ltabvs
grestore

grestore
220 fnt35 170 7438(d)m 240 fnt82 679 7441(De)m 3(grees.)k
1623(This)s 2099(unit)s 2531(may)s 2997(only)s 3477(be)s
3759(used)s 4256(with)s 4738(the)s 220 fnt35 5086 7438(@Rotate)m
240 fnt82 6007 7441(symbol.)m 0 86 0 86 240 288 60 9066 7604 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 215 0 106 240 288 60 9066 7389 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 9066 7303 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 86 240 288 60 0 7217 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 504 0 394 240 288 60 0 6713 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 0 6627 LoutGr2
0.5 pt ltabvs
grestore

grestore
220 fnt35 170 7050(y)m 240 fnt82
679 7053(One)m 220 fnt35 1129 7050(y)m 240 fnt82 1292 7053(equals)m
1949(the)s 2292(current)s 3023(v)s 6(alue)k 3586(set)s
3906(by)s 4195(the)s 220 fnt35 4538 7050(@YUnit)m 240 fnt82
5347 7053(symbol)m 6102(\(Section)s 6950(3.6\).)s 7488(This)s 7959(unit)s
8386(is)s 8590(not)s 679 6765(used)m 1176(internally)s 2145(by)s
2439(Lout;)s 3003(it)s 3195(is)s 3405(included)s 4287(for)s
4625(the)s 4973(con)s 9(v)k 3(enience)k 6213(of)s
6484(application)s 7603(packages.)s 0 86 0 86 240 288 60 9066 7217 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 504 0 394 240 288 60 9066 6713 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 9066 6627 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 86 240 288 60 0 6541 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 504 0 394 240 288 60 0 6037 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 0 5951 LoutGr2
0.5 pt ltabvs
grestore

grestore
170 0 0 0 240 288 60 0 5951 LoutGr2
0.5 pt ltabhsp
grestore

grestore
220 fnt35 170 6374(z)m gsave
170 5951 translate
240 fnt82 169 0 0 0 240 288 60 LoutGraphic
gsave
0.5 pt ltabhs
grestore

grestore
gsave
339 5951 translate
240 fnt82 170 0 0 0 240 288 60 LoutGraphic
gsave
0.5 pt ltabhs
grestore

grestore
gsave
509 5951 translate
240 fnt82 170 0 0 0 240 288 60 LoutGraphic
gsave
0.5 pt ltabhs
grestore

grestore
240 fnt82
679 6377(One)m 220 fnt35 1130 6374(z)m 240 fnt82 1290 6377(equals)m
1948(the)s 2292(current)s 3024(v)s 6(alue)k 3588(set)s
3909(by)s 4199(the)s 220 fnt35 4543 6374(@ZUnit)m 240 fnt82
5341 6377(symbol)m 6097(\(Section)s 6946(3.6\).)s 7485(This)s 7957(unit)s
8385(is)s 8590(not)s 679 6089(used)m 1176(internally)s 2145(by)s
2439(Lout;)s 3003(it)s 3195(is)s 3405(included)s 4287(for)s
4625(the)s 4973(con)s 9(v)k 3(enience)k 6213(of)s
6484(application)s 7603(packages.)s 8217 0 0 0 240 288 60 679 5951 LoutGr2
0.5 pt ltabhs
grestore

grestore
170 0 0 0 240 288 60 8896 5951 LoutGr2
0.5 pt ltabhsp
grestore

grestore
0 86 0 86 240 288 60 9066 6541 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 504 0 394 240 288 60 9066 6037 LoutGr2
0.5 pt ltabvs
grestore

grestore
0 86 0 0 240 288 60 9066 5951 LoutGr2
0.5 pt ltabvs
grestore

grestore
200 fnt84 1938 5388(Figur)m 3(e)k
2546(3.1.)s 200 fnt82 2938 5389(The)m 3294(thirteen)s 3948(units)s
4377(of)s 4603(measurement)s 5713(pro)s 3(vided)k 6468(by)s
6713(Lout.)s 240 fnt82 0 4758(will)m 426(centre)s 1065(it.)s
480 4384(The)m 914(v)s 6(alue)k 220 fnt35 1488 4381(|0r)m -8(t)k
240 fnt82 1871 4384(separating)m 2913(the)s 3267(\207rst)s 3704(and)s
4115(second)s 4844(items)s 5418(in)s 5667(a)s 5840(sequence)s
6779(of)s 7056(horizontally)s 8272(concate)s 8998(-)s 0 4096(nated)m
572(objects)s 1296(is)s 1502(some)s 6(what)k 2522(special)s
3236(in)s 3475(that)s 3889(it)s 4077(denotes)s 4855(left)s
5228(justi\207cation)s 6409(of)s 6676(the)s 7020(object)s 7660(to)s
7895(its)s 8167(left)s 8540(in)s 8778(the)s 0 3808(a)m 4(v)k 6(ailable)k
902(space.)s 1590(This)s 2059(is)s 2262(identical)s 3132(with)s
220 fnt35 3607 3805(|0ie)m 240 fnt82 4001 3808(when)m 4570(the)s
4911(object)s 5548(to)s 5780(the)s 6121(left)s 6491(also)s
6922(has)s 7285(the)s 7626(principal)s 8523(mark;)s 0 3520(b)m 4(ut)k
354(when)s 922(it)s 1105(does)s 1587(not,)s 220 fnt35
1991 3517(|0r)m -8(t)k 240 fnt82 2360 3520(will)m 2777(cause)s
3356(the)s 3695(object)s 4331(to)s 4561(the)s 4901(left)s
5269(to)s 5500(appear)s 6188(further)s 6889(to)s 7119(the)s
7459(left)s 7827(than)s 8288(it)s 8471(w)s 2(ould)k
0 3232(otherwise)m 985(ha)s 4(v)k 3(e)k 1486(done,)s
2059(if)s 2276(space)s 2863(to)s 3102(do)s 3395(so)s
3661(is)s 3871(a)s 4(v)k 6(ailable.)k 480 2858(A)m
744(g)s 1(ap)k 1177(is)s 1421(optionally)s 2480(concluded)s
3557(with)s 4073(an)s 4391(indication)s 5439(of)s 5744(unbreakability)s 15(,)k
7252(which)s 7929(is)s 8173(a)s 8374(letter)s 220 fnt35
8958 2855(u)m 240 fnt82 0 2570(appended)m 976(to)s 1215(the)s
1563(g)s 1(ap.)k 2072(A)s 2303(paragraph)s 3316(will)s
3742(ne)s 6(v)k 3(er)k 4324(be)s 4607(brok)s 2(en)k
5327(at)s 5559(an)s 5842(unbreakable)s 7068(g)s 1(ap,)k
7520(nor)s 7899(will)s 8325(a)s 8492(g)s 1(alle)k 3(y)k
0 2282(be)m 293(brok)s 2(en)k 1025(across)s 1684(tw)s 2(o)k
2106(tar)s 4(gets)k 2800(at)s 3044(such)s 3551(a)s
3729(g)s 1(ap.)k 4249(Basser)s 4958(Lout')s 13(s)k
5631(implementation)s 7200(is)s 7421(slightly)s 8204(defecti)s 6(v)k 3(e)k
0 1994(in)m 242(that)s 659(it)s 849(ignores)s 1603(an)s 3(y)k
1999(unbreakable)s 3222(indication)s 4234(in)s 4476(the)s 4822(g)s 1(ap)k
5219(separating)s 6253(the)s 6599(\207rst)s 7029(component)s 8151(promoted)s
0 1706(into)m 425(an)s 3(y)k 822(tar)s 4(get)k
1421(from)s 1945(the)s 2293(second.)s 480 1332(When)m 1111(tw)s 2(o)k
1523(objects)s 2254(are)s 2603(separated)s 3566(only)s 4048(by)s
4345(zero)s 4811(or)s 5072(more)s 5622(white)s 6211(space)s
6801(characters)s 7821(\(spaces,)s 8634(tabs,)s 0 1044(ne)m 6(wlines,)k
983(and)s 1420(formfeeds\),)s 2607(Lout)s 3152(inserts)s 220 fnt35
3859 1041(&)m 240 fnt83 4001 1046(k)m 220 fnt35 4111 1041(s)m
240 fnt82 4307 1044(between)m 5194(the)s 5575(tw)s 2(o)k
6018(objects,)s 6835(where)s 240 fnt83 7508 1046(k)m 240 fnt82
7711 1044(is)m 7954(the)s 8335(number)s 0 756(of)m 291(spaces.)s
1100(Precisely)s 15(,)k 240 fnt83 2087 758(k)m 240 fnt82
2278 756(is)m 2509(determined)s 3662(by)s 3977(discarding)s 5047(all)s
5360(space)s 5968(characters)s 7007(and)s 7431(tabs)s 7888(that)s
8327(precede)s 0 468(ne)m 6(wlines)k 903(\(these)s 1537(are)s
1892(in)s 9(visible)k 2771(so)s 3045(are)s 3400(better)s
4012(ignored\),)s 4937(then)s 5414(counting)s 6313(1)s 6477(for)s
6823(each)s 7326(ne)s 6(wline,)k 8193(formfeed)s 0 180(or)m
259(space,)s 897(and)s 1301(8)s 1468(for)s 1806(each)s
2301(tab)s 2646(character)s 13(.)k 3671(The)s 4099(g)s 1(ap)k
4497(will)s 4923(be)s 5205(unbreakable)s 6430(if)s 240 fnt83
6647 182(k)m 240 fnt82 6817 180(is)m 7027(zero.)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 39 45
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(3.2.)m 454(Concatenation)s 1918(symbols)s 2744(and)s
3170(par)s 3(a)k 2(gr)k 3(aphs)k 240 fnt84
8832 13840(39)m gsave
1450 5884 translate
240 fnt82 6166 7484 0 7484 240 288 60 LoutGraphic
gsave
grestore save gsave 200 dict begin lfigdict begin
grestore
0 6710(Edge-to-edge)m 220 fnt35 1786 6707(|)m 240 fnt83
1843 6712(l)m 220 fnt35 1929 6707(e)m 240 fnt82 0 5558(Hyphenation)m
220 fnt35 1786 5555(|)m 240 fnt83 1843 5560(l)m 220 fnt35
1929 5555(h)m 240 fnt82 0 4406(Ov)m 3(erstrik)k 2(e)k
220 fnt35 1786 4403(|)m 240 fnt83 1843 4408(l)m 220 fnt35
1929 4403(o)m 240 fnt82 0 3254(Mark-to-mark)m 220 fnt35 1786 3251(|)m
240 fnt83 1843 3256(l)m 220 fnt35 1929 3251(x)m 240 fnt82
0 2102(K)m 6(erning)k 220 fnt35 1786 2099(|)m 240 fnt83
1843 2104(l)m 220 fnt35 1929 2099(k)m 240 fnt82 0 950(T)m 19(ab)k 4(ulation)k
220 fnt35 1786 947(|)m 240 fnt83 1843 952(l)m 220 fnt35
1929 947(t)m gsave
2764 0 translate
240 fnt82 3402 7484 0 7484 240 288 60 LoutGraphic
gsave

0.5 pt setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore
gsave
567 6748 translate
180 fnt82 680 340 0 340 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto
xsize ysize lineto 0 ysize lineto closepath
gsave 0.9 setgray fill grestore stroke
grestore

grestore
gsave
680 6634 translate
180 fnt82 0 567 0 567 180 288 45 LoutGraphic
gsave
0 0 moveto 0 ysize lineto [ 3 pt ] 0 setdash stroke
grestore

grestore
gsave
2268 6748 translate
180 fnt82 680 340 0 340 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto
xsize ysize lineto 0 ysize lineto closepath
gsave 0.9 setgray fill grestore stroke
grestore

grestore
gsave
2551 6634 translate
180 fnt82 0 567 0 567 180 288 45 LoutGraphic
gsave
0 0 moveto 0 ysize lineto [ 3 pt ] 0 setdash stroke
grestore

grestore
gsave
2267 6658 translate
180.0000 rotate
gsave
0 0 translate
30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
0 0 translate
180 fnt82 1020 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 0 translate
-30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore

grestore
gsave
1247 6658 translate
30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
1247 6658 translate
180 fnt82 1020 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
1247 6658 translate
-30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
180 fnt83 1732 6455(l)m gsave
567 5596 translate
180 fnt82 680 340 0 340 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto
xsize ysize lineto 0 ysize lineto closepath
gsave 0.9 setgray fill grestore stroke
grestore

grestore
gsave
680 5482 translate
180 fnt82 0 567 0 567 180 288 45 LoutGraphic
gsave
0 0 moveto 0 ysize lineto [ 3 pt ] 0 setdash stroke
grestore

grestore
gsave
2268 5596 translate
180 fnt82 680 340 0 340 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto
xsize ysize lineto 0 ysize lineto closepath
gsave 0.9 setgray fill grestore stroke
grestore

grestore
gsave
2551 5482 translate
180 fnt82 0 567 0 567 180 288 45 LoutGraphic
gsave
0 0 moveto 0 ysize lineto [ 3 pt ] 0 setdash stroke
grestore

grestore
gsave
2267 5506 translate
180.0000 rotate
gsave
0 0 translate
30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
0 0 translate
180 fnt82 1020 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 0 translate
-30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore

grestore
gsave
1247 5506 translate
30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
1247 5506 translate
180 fnt82 1020 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
1247 5506 translate
-30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
1732 5303(l)m gsave
567 4444 translate
180 fnt82 680 340 0 340 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto
xsize ysize lineto 0 ysize lineto closepath
gsave 0.9 setgray fill grestore stroke
grestore

grestore
gsave
680 4330 translate
180 fnt82 0 567 0 567 180 288 45 LoutGraphic
gsave
0 0 moveto 0 ysize lineto [ 3 pt ] 0 setdash stroke
grestore

grestore
gsave
2268 4444 translate
180 fnt82 680 340 0 340 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto
xsize ysize lineto 0 ysize lineto closepath
gsave 0.9 setgray fill grestore stroke
grestore

grestore
gsave
2551 4330 translate
180 fnt82 0 567 0 567 180 288 45 LoutGraphic
gsave
0 0 moveto 0 ysize lineto [ 3 pt ] 0 setdash stroke
grestore

grestore
gsave
2551 4297 translate
180.0000 rotate
gsave
0 0 translate
30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
0 0 translate
180 fnt82 1871 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 0 translate
-30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore

grestore
gsave
680 4297 translate
30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
680 4297 translate
180 fnt82 1871 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
680 4297 translate
-30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
1590 4095(l)m
gsave
567 3242 translate
180 fnt82 680 340 0 340 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto
xsize ysize lineto 0 ysize lineto closepath
gsave 0.9 setgray fill grestore stroke
grestore

grestore
gsave
680 3128 translate
180 fnt82 0 567 0 567 180 288 45 LoutGraphic
gsave
0 0 moveto 0 ysize lineto [ 3 pt ] 0 setdash stroke
grestore

grestore
gsave
2268 3242 translate
180 fnt82 680 340 0 340 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto
xsize ysize lineto 0 ysize lineto closepath
gsave 0.9 setgray fill grestore stroke
grestore

grestore
gsave
2551 3128 translate
180 fnt82 0 567 0 567 180 288 45 LoutGraphic
gsave
0 0 moveto 0 ysize lineto [ 3 pt ] 0 setdash stroke
grestore

grestore
gsave
2551 3095 translate
180.0000 rotate
gsave
0 0 translate
30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
0 0 translate
180 fnt82 1871 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 0 translate
-30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore

grestore
gsave
680 3095 translate
30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
680 3095 translate
180 fnt82 1871 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
680 3095 translate
-30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
180 fnt82 975 2892(max\()m 180 fnt83 1383 2893(l,)m 1503(a+b+l/10)s
180 fnt82 2205 2892(\))m gsave
1247 3719 translate
180.0000 rotate
gsave
0 0 translate
30.0000 rotate
68 0 0 0 180 288 45 0 0 LoutGr2
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
567 0 0 0 180 288 45 0 0 LoutGr2
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 0 translate
-30.0000 rotate
68 0 0 0 180 288 45 0 0 LoutGr2
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore

grestore
gsave
680 3719 translate
30.0000 rotate
68 0 0 0 180 288 45 0 0 LoutGr2
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
567 0 0 0 180 288 45 680 3719 LoutGr2
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
680 3719 translate
-30.0000 rotate
68 0 0 0 180 288 45 0 0 LoutGr2
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
180 fnt83 920 3787(a)m gsave
2551 3719 translate
180.0000 rotate
gsave
0 0 translate
30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
0 0 translate
180 fnt82 283 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 0 translate
-30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore

grestore
gsave
2268 3719 translate
30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
2268 3719 translate
180 fnt82 283 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
2268 3719 translate
-30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
2366 3743(b)m
gsave
567 2090 translate
180 fnt82 680 340 0 340 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto
xsize ysize lineto 0 ysize lineto closepath
gsave 0.9 setgray fill grestore stroke
grestore

grestore
gsave
680 1976 translate
180 fnt82 0 567 0 567 180 288 45 LoutGraphic
gsave
0 0 moveto 0 ysize lineto [ 3 pt ] 0 setdash stroke
grestore

grestore
gsave
2268 2090 translate
180 fnt82 680 340 0 340 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto
xsize ysize lineto 0 ysize lineto closepath
gsave 0.9 setgray fill grestore stroke
grestore

grestore
gsave
2551 1976 translate
180 fnt82 0 567 0 567 180 288 45 LoutGraphic
gsave
0 0 moveto 0 ysize lineto [ 3 pt ] 0 setdash stroke
grestore

grestore
gsave
2551 1943 translate
180.0000 rotate
gsave
0 0 translate
30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
0 0 translate
180 fnt82 1871 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 0 translate
-30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore

grestore
gsave
680 1943 translate
30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
680 1943 translate
180 fnt82 1871 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
680 1943 translate
-30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
180 fnt82 1203 1740(max\()m 180 fnt83 1611 1741(l,)m 1731(a,)s
1891(b)s 180 fnt82 1977 1740(\))m gsave
1247 2567 translate
180.0000 rotate
gsave
0 0 translate
30.0000 rotate
68 0 0 0 180 288 45 0 0 LoutGr2
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
567 0 0 0 180 288 45 0 0 LoutGr2
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 0 translate
-30.0000 rotate
68 0 0 0 180 288 45 0 0 LoutGr2
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore

grestore
gsave
680 2567 translate
30.0000 rotate
68 0 0 0 180 288 45 0 0 LoutGr2
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
567 0 0 0 180 288 45 680 2567 LoutGr2
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
680 2567 translate
-30.0000 rotate
68 0 0 0 180 288 45 0 0 LoutGr2
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
180 fnt83 920 2635(a)m
gsave
2551 2567 translate
180.0000 rotate
gsave
0 0 translate
30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
0 0 translate
180 fnt82 283 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 0 translate
-30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore

grestore
gsave
2268 2567 translate
30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
2268 2567 translate
180 fnt82 283 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
2268 2567 translate
-30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
2366 2591(b)m gsave
567 938 translate
180 fnt82 680 340 0 340 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto
xsize ysize lineto 0 ysize lineto closepath
gsave 0.9 setgray fill grestore stroke
grestore

grestore
gsave
680 824 translate
180 fnt82 0 567 0 567 180 288 45 LoutGraphic
gsave
0 0 moveto 0 ysize lineto [ 3 pt ] 0 setdash stroke
grestore

grestore
gsave
2268 938 translate
180 fnt82 680 340 0 340 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto
xsize ysize lineto 0 ysize lineto closepath
gsave 0.9 setgray fill grestore stroke
grestore

grestore
gsave
2551 824 translate
180 fnt82 0 567 0 567 180 288 45 LoutGraphic
gsave
0 0 moveto 0 ysize lineto [ 3 pt ] 0 setdash stroke
grestore

grestore
gsave
2268 734 translate
180.0000 rotate
gsave
0 0 translate
30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
0 0 translate
180 fnt82 2268 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 0 translate
-30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore

grestore
gsave
0 734 translate
30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
0 734 translate
180 fnt82 2268 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 734 translate
-30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
1587 532(l)m gsave
3402 234 translate
180.0000 rotate
gsave
0 0 translate
30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
0 0 translate
180 fnt82 3402 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 0 translate
-30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore

grestore
gsave
0 234 translate
30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
gsave
0 234 translate
180 fnt82 3402 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore
gsave
0 234 translate
-30.0000 rotate
gsave
0 0 translate
180 fnt82 68 0 0 0 180 288 45 LoutGraphic
gsave
0 0 moveto xsize 0 lineto stroke
grestore

grestore

grestore
1189 23(curr)m 6(ent)k 1759(bound)s

grestore
end end restore
grestore
200 fnt84 2562 5321(Figur)m 3(e)k 3170(3.2.)s 200 fnt82
3562 5322(The)m 3918(six)s 4196(g)s 1(ap)k 4527(modes)s
5089(pro)s 3(vided)k 5844(by)s 6089(Lout.)s 240 fnt82
480 4689(A)m 724(sequence)s 1672(of)s 1958(tw)s 2(o)k
2383(or)s 2657(more)s 3219(objects)s 3962(separated)s 4936(by)s
220 fnt35 5245 4686(&)m 240 fnt82 5462 4689(symbols)m 6326(is)s
6551(a)s 240 fnt83 6732 4691(par)m 3(a)k 2(gr)k 3(aph)k
240 fnt82 7745 4689(.)m 7924(Lout)s 8451(breaks)s 0 4401(paragraphs)m
1100(into)s 1526(lines)s 2029(automatically)s 3384(as)s 3635(required,)s
4539(by)s 4834(con)s 9(v)k 3(erting)k 5898(some)s
6460(of)s 6732(the)s 220 fnt35 7081 4398(&)m 240 fnt82
7284 4401(symbols)m 8134(into)s 220 fnt35 8560 4398(//1vx)m 240 fnt82
9022 4401(.)m 0 4113(Unbreakable)m 1279(g)s 1(aps)k 1769(are)s
2117(not)s 2485(eligible)s 3258(for)s 3597(this)s 3995(con)s 9(v)k 3(ersion.)k
5198(`Optimal')s 6173(line)s 6588(breaks)s 7265(are)s 7613(chosen,)s
8386(using)s 8960(a)s 0 3825(method)m 776(adapted)s 1578(from)s
2102(T)s 2198 3777(E)m 2306 3825(X)m 2535([5)s 2720(].)s
480 3451(If)m 735(an)s 220 fnt35 1043 3448(&)m 240 fnt82
1271 3451(symbol)m 2056(whose)s 2750(g)s 1(ap)k 3173(has)s
3568(h)s 1(yphenation)k 4834(mode)s 5447(is)s 5683(chosen)s
6430(for)s 6793(replacement)s 8046(by)s 220 fnt35 8365 3448(//1vx)m
240 fnt82 8827 3451(,)m 8960(a)s 0 3163(h)m 1(yphen)k
755(will)s 1174(be)s 1448(appended)s 2417(to)s 2649(the)s
2989(preceding)s 3978(object,)s 4661(unless)s 5303(that)s 5714(object)s
6350(is)s 6553(a)s 6712(w)s 2(ord)k 7252(which)s
7887(already)s 8636(ends)s 0 2875(with)m 482(a)s 648(h)s 1(yphen.)k
1517(F)s 3(or)k 1906(e)s 3(xample,)k 220 fnt35
480 2378(Long)m 1017(w)s 2(ords)k 1654(ma)s 6(y)k
2122(be)s 2419(h)s 6(yph &0ih enat &0ih ed.)k 240 fnt82 0 1879(could)m
590(ha)s 4(v)k 3(e)k 1091(the)s 1439(follo)s 6(wing)k
2416(result,)s 3053(depending)s 4104(where)s 4744(the)s 5092(line)s
5506(breaks)s 6181(f)s 2(all:)k 480 1376(Long)m 1038(w)s 2(ords)k
1670(may)s 2135(be)s 2415(h)s 1(yphenat)k 3292(-)s
480 1088(ed.)m 0 635(Basser)m 702(Lout)s 1219(inserts)s 1898(h)s 1(yphenation)k
3143(g)s 1(aps)k 3637(automatically)s 4996(as)s 5251(required,)s
6159(ag)s 1(ain)k 6738(follo)s 6(wing)k 7720(the)s
8073(method)s 8855(of)s 0 347(T)m 96 299(E)m 204 347(X)m
373(,)s 479(which)s 1120(approximates)s 2458(the)s 2804(h)s 1(yphenations)k
4130(in)s 4372(W)s 19(ebster')k 13(s)k 5358(dictionary)s 15(.)k
6474(T)s 19(o)k 6773(pre)s 6(v)k 3(ent)k
7540(the)s 7886(h)s 1(yphenation)k 0 59(of)m 268(a)s
430(single)s 1053(w)s 2(ord,)k 1646(enclose)s 2416(it)s
2604(in)s 2843(quotes.)s 3628(Further)s 4387(control)s 5116(o)s 3(v)k 3(er)k
5591(paragraph)s 6600(breaking)s 7486(and)s 7886(h)s 1(yphenation)k

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 40 46
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
%%+ font Times-BoldItalic
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-BoldItalic
/Times-BoldItalicfnt85 vec2 /Times-BoldItalic LoutRecode
/fnt85 { /Times-BoldItalicfnt85 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(40)m 240 fnt83 6081 13843(Chapter)m 6931(3.)s
7205(Pr)s 8(ede\207ned)k 8300(symbols)s 240 fnt82 0 13203(is)m
210(pro)s 3(vided)k 1116(by)s 1410(the)s 220 fnt35
1758 13200(@Break)m 240 fnt82 2614 13203(and)m 220 fnt35 3018 13200(@Space)m
240 fnt82 3915 13203(symbols)m 4764(\(Sections)s 5704(3.4)s 6058(and)s
6462(3.5\).)s 240 fnt84 0 12410(3.3.)m 471(@F)s 6(ont)k
1226(and)s 1667(@Char)s 240 fnt82 480 11978(A)m 240 fnt83
728 11980(font)m 240 fnt82 1182 11978(is)m 1410(a)s 1594(collection)s
2611(of)s 2900(characters)s 3936(which)s 4596(may)s 5080(be)s
5380(printed.)s 6239(Man)s 3(y)k 6867(fonts)s 7414(come)s
8006(in)s 240 fnt83 8268 11980(families)m 240 fnt82 9019 11978(,)m
0 11690(which)m 634(are)s 973(groups)s 1667(of)s 1930(fonts)s
2450(that)s 2860(ha)s 4(v)k 3(e)k 3352(been)s
3853(designed)s 4754(to)s 4984(go)s 5269(together)s 13(.)k
6194(F)s 3(or)k 6575(e)s 3(xample,)k 7480(the)s
7820(T)s 8(imes)k 8451(f)s 2(amily)k 0 11402(includes)m
848(the)s 1196(follo)s 6(wing)k 2173(fonts:)s 480 10899(T)m 8(imes)k
1120(Base)s 240 fnt83 480 10613(T)m 13(imes)k 1093(Slope)s
240 fnt84 480 10322(T)m 4(imes)k 1154(Bold)s 240 fnt85
480 10034(T)m 8(imes)k 1116(BoldSlope)s 240 fnt82 0 9532(Thus,)m
586(each)s 1080(font)s 1524(has)s 1893(tw)s 2(o)k
2303(names:)s 3019(its)s 240 fnt83 3294 9534(family)m 3946(name)s
240 fnt82 4518 9532(\(T)m 8(imes,)k 5292(Helv)s 3(etica,)k
6310(etc.\))s 6775(and)s 7179(its)s 240 fnt83 7454 9534(face)m
7904(name)s 240 fnt82 8475 9532(\(Base,)m 0 9244(Slope,)m 682(etc.\).)s
1294(T)s 8(imes)k 1964(Base)s 2516(is)s 2756(more)s
3334(commonly)s 4443(called)s 5101(T)s 8(imes)k 5772(Roman,)s
6601(and)s 7036(T)s 8(imes)k 7706(Slope)s 8338(is)s
8579(more)s 0 8956(commonly)m 1085(called)s 1720(T)s 8(imes)k
2367(Italic.)s 3027(Lout)s 3547(a)s 4(v)k 4(oids)k
4222(these)s 4776(names)s 5445(in)s 5695(f)s 2(a)k 4(v)k 4(our)k
6377(of)s 6655(generic)s 7418(names)s 8087(which)s 8737(can)s
0 8668(be)m 282(applied)s 1044(to)s 1283(man)s 3(y)k
1866(font)s 2311(f)s 2(amilies.)k 480 8294(Lig)m 1(atures,)k
1488(such)s 1984(as)s 2234(\210)s 2420(for)s 2758(f)s
2849(l)s 2970(and)s 3375(\207)s 3560(for)s 3898(f)s
3989(i,)s 4163(are)s 4510(considered)s 5604(by)s 5899(Basser)s
6596(Lout)s 7108(to)s 7348(be)s 7630(an)s 7913(inte)s 3(gral)k
8695(part)s 0 8006(of)m 257(the)s 591(font:)s 1128(if)s
1331(the)s 1665(font)s 2096(de\207nition)s 3056(\(see)s 3482(belo)s 6(w\))k
4175(mentions)s 5089(them,)s 5660(the)s 3(y)k 6109(will)s
6521(be)s 6789(used.)s 7378(Similarly)s 15(,)k 8344(k)s 2(erning)k
0 7718(\(\207ne)m 510(adjustment)s 1636(of)s 1924(the)s 2289(space)s
2893(between)s 3764(adjacent)s 4637(characters)s 5672(to)s 5928(impro)s 3(v)k 3(e)k
6792(the)s 7157(appearance\))s 8377(is)s 8604(done)s 0 7430(whene)m 6(v)k 3(er)k
988(indicated)s 1929(in)s 2179(the)s 2535(font)s 2987(de\207nition.)s
4075(Enclosing)s 5092(one)s 5502(of)s 5780(the)s 6135(letters)s
6775(in)s 220 fnt35 7026 7427(@OneCol)m 240 fnt82 8045 7430(is)m
8262(one)s 8672(sure)s 0 7142(w)m 2(ay)k 451(to)s
690(disable)s 1423(a)s 1589(lig)s 1(ature)k 2373(or)s
2632(k)s 2(ern.)k 480 6768(The)m 220 fnt35 908 6765(@F)m 6(ont)k
240 fnt82 1620 6768(symbol)m 2380(returns)s 3094(its)s 3370(right)s
3881(parameter)s 4895(in)s 5138(a)s 5304(font)s 5749(and)s
6153(size)s 6580(speci\207ed)s 7488(by)s 7782(its)s 8058(left:)s
220 fnt35 480 6260({ )m 11(Times Base 12p } @F)k 6(ont)k 240 fnt83
3155 6265(object)m 240 fnt82 0 5764(The)m 417(f)s 2(amily)k
1080(and)s 1473(f)s 2(ace)k 1912(names)s 2563(must)s
3076(ha)s 4(v)k 3(e)k 3565(appeared)s 4475(together)s
5306(in)s 5538(a)s 220 fnt35 5692 5761(f)m 6(ontdef)k
240 fnt82 6354 5764(;)m 6454(the)s 6791(size)s 7206(is)s
7405(arbitrary)s 8268(and)s 8660(may)s 0 5476(be)m 283(gi)s 6(v)k 3(en)k
865(in)s 1109(an)s 3(y)k 1508(one)s 1911(of)s
2184(the)s 220 fnt35 2533 5473(c)m 240 fnt82 2638 5476(,)m
220 fnt35 2747 5473(i)m 240 fnt82 2781 5476(,)m 220 fnt35
2889 5473(p)m 240 fnt82 3003 5476(,)m 220 fnt35 3112 5473(m)m
240 fnt82 3281 5476(,)m 220 fnt35 3389 5473(f)m 240 fnt82
3447 5476(,)m 220 fnt35 3556 5473(s)m 240 fnt82 3659 5476(,)m
3767(and)s 220 fnt35 4173 5473(v)m 240 fnt82 4343 5476(units)m
4861(of)s 5133(measurement)s 6469(\(Section)s 7323(3.2\),)s 7811(although)s
220 fnt35 8708 5473(10p)m 240 fnt82 0 5188(and)m 220 fnt35
407 5185(12p)m 240 fnt82 828 5188(are)m 1178(the)s 1530(most)s
2058(common)s 2956(sizes)s 3475(for)s 3816(te)s 3(xt.)k
4338(There)s 4954(may)s 5424(be)s 5709(empty)s 6364(objects)s
7096(and)s 220 fnt35 7503 5185(@Null)m 240 fnt82 8151 5188(objects)m
8883(in)s 0 4900(the)m 348(left)s 725(parameter)s 1739(of)s
220 fnt35 2010 4897(@F)m 6(ont)k 240 fnt82 2662 4900(;)m
2774(these)s 3321(are)s 3668(ignored.)s 480 4526(When)m 1114(a)s
220 fnt35 1286 4523(@F)m 6(ont)k 240 fnt82 2004 4526(symbol)m
2769(is)s 2985(nested)s 3660(inside)s 4293(the)s 4646(right)s
5163(parameter)s 6183(of)s 6459(another)s 220 fnt35 7242 4523(@F)m 6(ont)k
240 fnt82 7960 4526(symbol,)m 8778(the)s 0 4238(inner)m 555(one)s
961(determines)s 2065(the)s 2417(font)s 2867(of)s 3142(its)s
3423(o)s 6(wn)k 3891(right)s 4406(parameter)s 13(.)k
5516(Ho)s 6(we)k 6(v)k 3(er)k 9(,)k
6480(it)s 6677(may)s 7147(be)s 7434(abbre)s 6(viated)k
8605(so)s 8876(as)s 0 3950(to)m 239(inherit)s 922(part)s
1353(of)s 1624(the)s 1972(outer)s 2523(symbol:)s 220 fnt35
480 3449({ )m 11(Times Base 12p } @F)k 6(ont)k 480 3161({ hello)m 8(, Slope @F)k 6(ont hello)k 8(, 15p @F)k 6(ont hello })k
240 fnt82 0 2665(has)m 370(result)s 480 2184(hello,)m 240 fnt83
1065 2186(hello,)m 300 fnt82 1636 2171(hello)m 240 fnt82 0 1700(The)m
457(\207rst)s 918(inner)s 220 fnt35 1498 1697(@F)m 6(ont)k
240 fnt82 2240 1700(inherits)m 3037(the)s 3414(outer)s 3995(f)s 2(amily)k
4699(and)s 5133(size,)s 5641(changing)s 6601(only)s 7111(the)s
7488(f)s 2(ace;)k 8025(the)s 8403(second)s 0 1412(inherits)m
754(the)s 1089(outer)s 1627(f)s 2(amily)k 2289(and)s
2680(f)s 2(ace.)k 3225(When)s 3841(a)s 3994(f)s 2(amily)k
4656(name)s 5217(is)s 5413(gi)s 6(v)k 3(en,)k
6030(it)s 6209(must)s 6721(be)s 6990(follo)s 6(wed)k
7878(immediately)s 0 1124(by)m 294(a)s 460(f)s 2(ace)k
911(name.)s 1593(A)s 1823(size)s 2250(change)s 2984(may)s
3450(appear)s 4147(\207rst)s 4578(or)s 4837(last.)s 480 750(Sizes)m
1035(of)s 1307(the)s 1656(form)s 2180(+)s 240 fnt83
2308 752(length)m 240 fnt82 2962 750(and)m 3367(\211)s 240 fnt83
3487 752(length)m 240 fnt82 4140 750(may)m 4607(also)s 5046(be)s
5328(used,)s 5875(meaning)s 6753(that)s 7171(the)s 7520(font)s
7966(size)s 8393(is)s 8604(to)s 8844(be)s 240 fnt83
0 464(length)m 240 fnt82 649 462(lar)m 4(ger)k 1257(or)s
1512(smaller)s 2269(than)s 2734(the)s 3078(inherited)s 3981(v)s 6(alue.)k
4652(F)s 3(or)k 5037(e)s 3(xample,)k 5947(\211)s
220 fnt35 6067 459(2p)m 240 fnt82 6359 462(is)m 6564(often)s
7108(used)s 7601(for)s 7934(superscripts)s 0 174(and)m 407(subscripts.)s
1530(These)s 2161(forms)s 2772(are)s 3123(highly)s 3792(recommended,)s
5257(since)s 5808(the)s 3(y)k 6274(don')s 4(t)k
6839(need)s 7352(to)s 7594(be)s 7880(changed)s 8739(if)s
8960(a)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 41 47
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(3.3.)m 454(@F)s 25(ont)k 1165(and)s
1591(@Char)s 240 fnt84 8839 13840(41)m 240 fnt82 0 13250(decision)m
854(is)s 1064(made)s 1638(to)s 1877(alter)s 2360(the)s
2708(font)s 3153(size)s 3580(of)s 3851(the)s 4199(document)s
5203(as)s 5453(a)s 5619(whole.)s 480 12876(The)m 220 fnt35
908 12873(@F)m 6(ont)k 240 fnt82 1620 12876(symbol)m 2380(also)s
2818(switches)s 3692(to)s 3931(and)s 4335(from)s 4859(small)s
5431(capitals:)s 220 fnt35 480 12375(smallcaps @F)m 6(ont ...)k 480 12087(nosmallcaps @F)m 6(ont ...)k
240 fnt82 0 11591(These)m 639(may)s 1118(be)s 1412(nested,)s
2143(and)s 2559(the)s 3(y)k 3035(cooperate)s 4033(with)s
4527(other)s 5091(font)s 5548(changes.)s 6496(The)s 6936(precise)s
7681(ef)s 6(fect)k 8290(depends)s 0 11303(on)m 293(the)s
637(font)s 1078(\(see)s 1514(belo)s 6(w\).)k 2331(There)s
2940(is)s 3146(a)s 3308(def)s 2(ault)k 4024(v)s 6(alue)k
4588(\()s 220 fnt35 4661 11300(nosmallcaps)m 240 fnt82 5873 11303(\),)m
6055(so)s 6317(it)s 6504(is)s 6710(not)s 7072(necessary)s
8051(to)s 8285(mention)s 0 11015(this)m 396(attrib)s 4(ute)k
1243(when)s 1819(gi)s 6(ving)k 2478(an)s 2761(initial)s
3372(font.)s 480 10641(There)m 1080(are)s 1413(tw)s 2(o)k
1810(prede\207ned)s 2864(symbols,)s 220 fnt35 3756 10638(@CurrF)m 11(amily)k
240 fnt82 5083 10641(and)m 220 fnt35 5474 10638(@CurrF)m 11(ace)k
240 fnt82 6592 10641(,)m 6685(which)s 7314(respecti)s 6(v)k 3(ely)k
8499(return)s 0 10353(the)m 337(f)s 2(amily)k 1000(and)s
1392(f)s 2(ace)k 1831(names)s 2482(of)s 2741(the)s
3077(current)s 3801(font.)s 4339(F)s 3(or)k 4716(e)s 3(xample,)k
5618(right)s 6117(no)s 6(w)k 220 fnt35 6567 10350(@CurrF)m 11(amily)k
240 fnt82 7896 10353(is)m 8094(T)s 8(imes)k 8722(and)s
220 fnt35 0 10062(@CurrF)m 11(ace)k 240 fnt82 1178 10065(is)m
1388(Base.)s 480 9691(When)m 1109(Lout)s 1621(runs,)s 2140(the)s
2488(\207rst)s 2919(thing)s 3464(it)s 3656(reads)s 4211(is)s
4421(a)s 4587(list)s 4938(of)s 5209(font)s 5654(de\207nitions,)s
6771(lik)s 2(e)k 7183(these:)s 220 fnt35 480 9183(f)m 6(ontdef  )k 11(Times  Base   {)k
240 fnt83 2842 9188(implementation-dependent)m 220 fnt35 5517 9183(})m 480 8895(f)m 6(ontdef  )k 11(Times  Slope  {)k
240 fnt83 2841 8900(implementation-dependent)m 220 fnt35 5516 8895(})m 240 fnt82
0 8399(Each)m 552(line)s 983(tells)s 1449(Lout)s 1978(of)s
2267(the)s 2632(e)s 3(xistence)k 3591(of)s 3880(a)s
4063(font,)s 4573(and)s 4994(assigns)s 5754(it)s 5963(a)s
6146(f)s 2(amily)k 6839(name)s 7430(and)s 7852(a)s
8035(f)s 2(ace)k 8504(name.)s 0 8111(There)m 617(are)s
969(a)s 1140(fe)s 6(w)k 1551(fonts)s 2085(which)s
2732(are)s 3084(the)s 3437(only)s 3921(members)s 4853(of)s
5129(their)s 5631(f)s 2(amilies;)k 6514(e)s 6(v)k 3(en)k
7019(though)s 7747(these)s 8299(fonts)s 8833(do)s 0 7823(not)m
357(need)s 857(a)s 1013(f)s 2(ace)k 1455(name,)s
2070(the)s 3(y)k 2523(must)s 3039(be)s 3311(gi)s 6(v)k 3(en)k
3881(one)s 4274(by)s 4558(their)s 220 fnt35 5045 7820(f)m 6(ontdef)k
240 fnt82 5707 7823(.)m 5862(The)s 6280(part)s 6701(between)s
7546(braces)s 8197(may)s 8653(v)s 6(ary)k 0 7535(with)m
486(dif)s 6(ferent)k 1365(implementations)s 3013(of)s 3288(Lout;)s
3856(it)s 4052(is)s 4267(supposed)s 5221(to)s 5464(contain)s
6229(the)s 6581(information)s 7770(Lout)s 8286(needs)s 8887(to)s
0 7247(w)m 2(ork)k 551(with)s 1033(the)s 1381(font.)s
480 6873(In)m 735(Basser)s 1431(Lout)s 1941(V)s 26(ersion)k
2728(3,)s 2954(this)s 3348(implementation-dependent)s 5970(part)s 6400(consists)s
7206(of)s 7476(a)s 7641(PostScript)s 8681(font)s 0 6585(name,)m
635(an)s 928(Adobe)s 1634(font)s 2089(metrics)s 2852(\(formerly)s
3831(AFM\))s 4488(\207le)s 4859(whose)s 5538(F)s 3(ontName)k
6611(entry)s 7166(must)s 7702(agree)s 8285(with)s 8778(the)s
0 6297(PostScript)m 1034(font)s 1471(name)s 2037(just)s 2433(mentioned,)s
3542(the)s 3882(name)s 4448(of)s 4710(a)s 4868(Lout)s
5372(Character)s 6352(Mapping)s 7261(\(LCM\))s 7979(\207le,)s 8383(and)s
8778(the)s 0 6009(w)m 2(ord)k 220 fnt35 548 6006(Recode)m
240 fnt82 1356 6009(or)m 220 fnt35 1615 6006(NoRecode)m 240 fnt82
2643 6009(:)m 220 fnt35 480 5554(f)m 6(ontdef  )k 11(Times  Base  {  )k 11(Times-Roman  )k 11(Ti-Ro  LtLatin1.LCM  Recode })k
240 fnt82 0 5060(It)m 226(seems)s 883(to)s 1143(ha)s 4(v)k 3(e)k
1666(become)s 2487(an)s 2792(in)s 9(v)k 6(ariable)k
3810(rule)s 4258(at)s 4512(Adobe)s 5228(Systems)s 6098(that)s
6538(the)s 6907(font)s 7374(name)s 7969(and)s 8395(the)s
8765(\207le)s 0 4772(name)m 591(should)s 1305(be)s 1605(the)s
1970(same,)s 2585(b)s 4(ut)k 2965(some)s 3543(operating)s
4517(systems)s 5342(do)s 5652(not)s 6036(permit)s 6736(such)s
7249(long)s 7746(\207le)s 8124(names,)s 8860(so)s 0 4484(Lout)m
526(does)s 1031(not)s 1411(use)s 1801(them.)s 2457(The)s
2900(\207les)s 3363(are)s 3725(searched)s 4633(for)s 4986(in)s
5243(standard)s 6126(places.)s 6901(Consult)s 7721(the)s 8084(PostScript)s
0 4196(Reference)m 1064(Manual)s 1891([1)s 2065(])s 2224(for)s
2603(general)s 3401(information)s 4627(about)s 5260(fonts)s 5830(and)s
6274(encoding)s 7246(v)s 3(ectors;)k 8086(brie\210y)s 15(,)k
8843(an)s 0 3908(8-bit)m 520(character)s 1464(code)s 240 fnt83
1981 3910(c)m 240 fnt82 2153 3908(in)m 2405(Lout')s 13(s)k
3077(input)s 3638(is)s 3858(mapped)s 4683(to)s 4932(the)s
5289(character)s 6233(in)s 6485(the)s 6843(Adobe)s 7547(font)s
8002(metrics)s 8765(\207le)s 0 3620(whose)m 677(name)s 1260(appears)s
2050(on)s 2356(the)s 2714(line)s 3137(labelled)s 240 fnt83
3960 3622(c)m 240 fnt82 4131 3620(in)m 4384(the)s 4741(LCM)s
5323(\207le.)s 5801(The)s 6239(LCM)s 6821(\207le)s 7191(also)s
7638(de\207nes)s 8377(v)s 6(arious)k 0 3332(character)m 4(-to-character)k
2162(mappings,)s 3215(such)s 3726(as)s 3991(upper)s 4(-case)k
5093(to)s 5347(lo)s 6(wer)k 4(-case,)k 6493(which)s
7150(are)s 7512(used)s 8024(for)s 8377(v)s 6(arious)k
0 3044(purposes,)m 947(such)s 1431(as)s 1669(the)s 2005(production)s
3087(of)s 3346(small)s 3906(capitals.)s 4787(If)s 5005(the)s
5341(w)s 2(ord)k 220 fnt35 5877 3041(NoRecode)m 240 fnt82
6953 3044(appears,)m 7778(Lout)s 8278(assumes)s 0 2756(that)m 428(the)s
786(gi)s 6(v)k 3(en)k 1376(encoding)s 2317(v)s 3(ector)k
2981(is)s 3201(already)s 3968(associated)s 5018(with)s 5510(this)s
5916(font)s 6371(in)s 6624(the)s 6982(PostScript)s 8035(interpreter)s 9(,)k
0 2468(and)m 404(optimizes)s 1384(its)s 1660(output)s 2332(accordingly)s 15(.)k
480 2094(If)m 723(there)s 1270(are)s 1630(tw)s 2(o)k
2054(font)s 2512(de\207nitions)s 3587(with)s 4083(the)s 4444(same)s
5005(f)s 2(amily)k 5693(and)s 6111(f)s 2(ace)k
6576(name,)s 7214(it)s 7420(is)s 7643(an)s 7940(error)s
8477(unless)s 0 1806(the)m 371(second)s 1117(one)s 1542(has)s
1936(the)s 2307(same)s 2877(font)s 3346(name)s 3943(and)s
4370(\207le)s 4755(name)s 5352(as)s 5625(the)s 5997(\207rst,)s
6498(in)s 6764(which)s 7430(case)s 7920(it)s 8135(is)s
8369(silently)s 0 1518(ignored.)m 902(A)s 1139(PostScript)s 2188(font)s
2640(name)s 3221(and)s 3632(\207le)s 4000(may)s 4474(appear)s
5178(in)s 5428(tw)s 2(o)k 5845(or)s 6111(more)s
6665(font)s 7117(de\207nitions,)s 8242(allo)s 6(wing)k 0 1230(one)m
402(PostScript)s 1444(font)s 1889(to)s 2128(ha)s 4(v)k 3(e)k
2629(tw)s 2(o)k 3039(or)s 3298(more)s 3845(equally)s
4603(v)s 6(alid)k 5133(Lout)s 5645(names,)s 6363(and)s
6767(dif)s 6(ferent)k 7642(LCM)s 8215(\207les.)s 480 856(The)m
220 fnt35 917 853(@Char)m 240 fnt82 1685 856(symbol)m 2454(allo)s 6(ws)k
3133(a)s 3309(character)s 4252(to)s 4501(be)s 4792(speci\207ed)s
5710(by)s 6014(its)s 6299(name)s 6883(\(its)s 7247(PostScript)s
8299(name)s 8883(in)s 0 568(Basser)m 697(Lout\))s 1277(rather)s
1893(than)s 2362(by)s 2656(its)s 2932(code:)s 220 fnt35
480 67(@Char  nine)m 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 42 48
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(42)m 240 fnt83 6081 13843(Chapter)m 6931(3.)s
7205(Pr)s 8(ede\207ned)k 8300(symbols)s 240 fnt82 0 13205(is)m
215(equi)s 6(v)k 6(alent)k 1265(to)s 220 fnt35
1510 13202(9)m 240 fnt82 1689 13205(in)m 1938(most)s 2469(fonts.)s
3117(This)s 3599(is)s 3815(useful)s 4460(as)s 4716(a)s
4888(documentation)s 6373(aid)s 6729(and)s 7139(to)s 7384(be)s
7672(sure)s 8132(of)s 8409(getting)s 0 12917(the)m 347(right)s
856(character)s 1788(e)s 6(v)k 3(en)k 2286(if)s
2501(the)s 2848(encoding)s 3777(v)s 3(ector)k 4429(of)s
4698(the)s 5044(font)s 5488(is)s 5696(changed.)s 6656(Ho)s 6(we)k 6(v)k 3(er)k
220 fnt35 7576 12914(@Char)m 240 fnt82 8332 12917(will)m 8756(f)s 2(ail)k
0 12629(if)m 217(the)s 565(character)s 1499(named)s 2195(is)s
2405(not)s 2771(in)s 3014(the)s 3362(encoding)s 4293(v)s 3(ector)k
4947(of)s 5218(the)s 5566(current)s 6302(font.)s 240 fnt84
0 11836(3.4.)m 471(@Br)s 4(eak)k 240 fnt82 480 11404(The)m
220 fnt35 898 11401(@Break)m 240 fnt82 1744 11404(symbol)m 2493(in\210uences)s
3504(the)s 3842(appearance)s 4962(of)s 5223(paragraphs)s 6313(\(Section)s
7155(3.2\),)s 7631(of)s 6(fering)k 8437(a)s 8592(\207x)s 3(ed)k
0 11116(set)m 325(of)s 596(nine)s 1064(styles:)s 220 fnt35
1275 10608(adjust)m 1916(@Break)s 240 fnt83 2772 10613(object)m 240 fnt82
3600 10611(Break)m 4301(the)s 4718(paragraphs)s 5887(of)s 240 fnt83
6228 10613(object)m 240 fnt82 6945 10611(into)m 7439(lines,)s 8066(and)s
8540(apply)s 220 fnt35 3600 10320(@P)m 26(Adjust)k 240 fnt82
4633 10323(\(Section)m 5511(3.16\))s 6084(to)s 6348(e)s 6(v)k 3(ery)k
6949(line)s 7388(e)s 3(xcept)k 8094(the)s 8467(last)s
8883(in)s 3600 10035(each)m 4095(paragraph;)s 220 fnt35 1128 9527(outdent)m
1916(@Break)s 240 fnt83 2772 9532(object)m 240 fnt82 3600 9530(Lik)m 2(e)k
220 fnt35 4122 9527(adjust)m 240 fnt82 4703 9530(,)m 4840(e)s 3(xcept)k
5551(that)s 220 fnt35 6000 9527(2.0f @Wide {} &0i)m 240 fnt82 7809 9530(is)m
8049(inserted)s 8894(at)s 3600 9242(the)m 3981(be)s 3(ginning)k
5022(of)s 5326(e)s 6(v)k 3(ery)k 5935(line)s
6382(e)s 3(xcept)k 7096(the)s 7477(\207rst,)s 7988(creating)s
8843(an)s 3600 8954(outdented)m 4602(paragraph;)s 220 fnt35 1187 8446(r)m 2(agged)k
1916(@Break)s 240 fnt83 2772 8451(object)m 240 fnt82 3600 8449(Break)m
4222(the)s 4559(paragraphs)s 5648(of)s 240 fnt83 5908 8451(object)m
240 fnt82 6545 8449(into)m 6960(lines,)s 7507(b)s 4(ut)k
7858(do)s 8140(not)s 8495(adjust)s 3600 8161(the)m 3948(lines)s
4450(\(`ragged)s 5317(right'\);)s 220 fnt35 1077 7653(cr)m 2(agged)k
1916(@Break)s 240 fnt83 2772 7658(object)m 240 fnt82 3600 7656(Lik)m 2(e)k
220 fnt35 4125 7653(r)m 2(agged)k 240 fnt82 4794 7656(,)m
4934(e)s 3(xcept)k 5648(that)s 6099(each)s 6628(line)s
7075(will)s 7534(be)s 7849(centred)s 8644(with)s 3600 7368(respect)m
4336(to)s 4575(the)s 4923(others;)s 220 fnt35 1114 6860(rr)m 2(agged)k
1916(@Break)s 240 fnt83 2772 6865(object)m 240 fnt82 3600 6863(Lik)m 2(e)k
220 fnt35 4115 6860(r)m 2(agged)k 240 fnt82 4784 6863(,)m
4914(e)s 3(xcept)k 5618(that)s 6059(each)s 6577(line)s
7014(will)s 7463(be)s 7768(right-justi\207ed)s 3600 6575(with)m 4082(respect)s
4818(to)s 5057(the)s 5405(others)s 6040(\(`ragged)s 6907(left'\);)s
220 fnt35 1065 6067(or)m 2(agged)k 1916(@Break)s 240 fnt83
2772 6072(object)m 240 fnt82 3600 6070(The)m 4028(ob)s 3(vious)k
4835(combination)s 6088(of)s 220 fnt35 6359 6067(r)m 2(agged)k
240 fnt82 7088 6070(and)m 220 fnt35 7492 6067(outdent)m 240 fnt82
8220 6070(;)m 220 fnt35 1413 5563(lines)m 1916(@Break)s 240 fnt83
2772 5568(object)m 240 fnt82 3600 5566(Break)m 4284(the)s 4685(paragraphs)s
5837(of)s 240 fnt83 6161 5568(object)m 240 fnt82 6861 5566(into)m
7339(lines)s 7893(at)s 8178(the)s 8579(same)s 3600 5278(points)m
4235(that)s 4651(the)s 3(y)k 5113(are)s 5458(brok)s 2(en)k
6177(into)s 6600(lines)s 7101(in)s 7342(the)s 7689(input,)s
8286(and)s 8688(also)s 3600 4990(at)m 3819(concatenation)s 5190(symbols)s
6026(of)s 6283(the)s 6617(form)s 220 fnt35 7128 4987(&)m
240 fnt83 7270 4992(k)m 220 fnt35 7380 4987(b)m 240 fnt82
7540 4990(for)m 7865(an)s 3(y)k 240 fnt83 8248 4992(k)m
240 fnt82 8404 4990(greater)m 3600 4702(than)m 4069(1.)s 4354(Do)s
4700(not)s 5067(adjust)s 5698(the)s 6047(lines.)s 6663(An)s 3(y)k
7127(spaces)s 7803(at)s 8035(the)s 8384(start)s 8855(of)s
3600 4414(a)m 3766(line)s 4180(other)s 4731(than)s 5200(the)s
5548(\207rst)s 5979(line)s 6393(will)s 6819(appear)s 7516(in)s
7759(the)s 8107(output;)s 220 fnt35 1303 3906(clines)m 1916(@Break)s
240 fnt83 2772 3911(object)m 240 fnt82 3600 3909(Break)m 4288(the)s
4693(paragraphs)s 5849(of)s 240 fnt83 6177 3911(object)m 240 fnt82
6881 3909(into)m 7363(lines)s 7921(as)s 8228(for)s 220 fnt35
8623 3906(lines)m 3600 3618(@Break)m 240 fnt82 4396 3621(,)m 4503(then)s
4972(centre)s 5611(each)s 6106(line)s 6520(with)s 7002(respect)s
7738(to)s 7977(the)s 8325(others;)s 220 fnt35 1337 3113(r)m -3(lines)k
1916(@Break)s 240 fnt83 2772 3118(object)m 240 fnt82 3600 3116(Break)m
4288(the)s 4693(paragraphs)s 5849(of)s 240 fnt83 6177 3118(object)m
240 fnt82 6881 3116(into)m 7363(lines)s 7921(as)s 8228(for)s
220 fnt35 8623 3113(lines)m 3600 2825(@Break)m 240 fnt82 4396 2828(,)m
4535(then)s 5036(right-)s 5555(justify)s 6251(each)s 6778(line)s
7224(with)s 7738(respect)s 8506(to)s 8778(the)s 3600 2540(others.)m
0 2087(If)m 235(the)s 588(paragraph)s 1606(w)s 2(as)k
2032(an)s 2320(entire)s 2924(component)s 4053(of)s 4329(a)s
4501(g)s 1(alle)k 3(y)k 15(,)k 5178(so)s
5449(will)s 5880(each)s 6380(of)s 6656(its)s 6937(lines)s
7444(be;)s 7787(otherwise)s 8778(the)s 0 1799(lines)m 502(are)s
849(enclosed)s 1744(in)s 1987(a)s 220 fnt35 2153 1796(@OneRo)m 3(w)k
240 fnt82 3284 1799(symbol)m 4044(after)s 4540(breaking.)s 480 1425(The)m
911(length)s 1570(of)s 1845(the)s 2196(g)s 1(ap)k
2598(used)s 3099(to)s 3341(separate)s 4183(the)s 4535(lines)s
5040(produced)s 5993(by)s 6291(paragraph)s 7307(breaking)s 8201(is)s
8415(al)s 2(w)k 2(ays)k 220 fnt35 0 1134(1v)m
240 fnt82 231 1137(.)m 395(Ho)s 6(we)k 6(v)k 3(er)k 9(,)k
1355(the)s 220 fnt35 1703 1134(v)m 240 fnt82 1872 1137(unit)m
2304(itself)s 2852(and)s 3256(the)s 3604(g)s 1(ap)k
4002(mode)s 4590(may)s 5056(be)s 5338(changed:)s 240 fnt83
1503 634(gap)m 220 fnt35 1916 629(@Break)m 240 fnt83 2772 634(object)m
240 fnt82 3600 632(W)m 9(ithin)k 240 fnt83 4312 634(object)m
240 fnt82 4900 632(,)m 5008(tak)s 2(e)k 5460(the)s
5809(v)s 6(alue)k 6377(of)s 6649(the)s 220 fnt35
6998 629(v)m 240 fnt82 7167 632(unit)m 7600(to)s 7839(be)s
8122(the)s 8471(length)s 3600 344(of)m 240 fnt83 3871 346(gap)m
240 fnt82 4224 344(;)m 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 43 49
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(3.4.)m 454(@Br)s 8(eak)k 240 fnt84
8833 13840(43)m 240 fnt82 1375 13247(+)m 240 fnt83 1503 13249(gap)m
220 fnt35 1916 13244(@Break)m 240 fnt83 2772 13249(object)m 240 fnt82
3600 13247(W)m 9(ithin)k 240 fnt83 4320 13249(object)m 240 fnt82
4908 13247(,)m 5024(tak)s 2(e)k 5485(the)s 5841(v)s 6(alue)k
6418(of)s 6698(the)s 220 fnt35 7054 13244(v)m 240 fnt82
7232 13247(unit)m 7673(to)s 7920(be)s 8211(lar)s 4(ger)k
8832(by)s 3600 12959(the)m 3948(length)s 4603(of)s 240 fnt83
4874 12961(gap)m 240 fnt82 5287 12959(than)m 5756(it)s 5948(w)s 2(ould)k
6603(otherwise)s 7588(ha)s 4(v)k 3(e)k 8089(been;)s
1383 12454(\211)m 240 fnt83 1503 12456(gap)m 220 fnt35 1916 12451(@Break)m
240 fnt83 2772 12456(object)m 240 fnt82 3600 12454(W)m 9(ithin)k
240 fnt83 4309 12456(object)m 240 fnt82 4897 12454(,)m 5000(tak)s 2(e)k
5448(the)s 5792(v)s 6(alue)k 6356(of)s 6623(the)s
220 fnt35 6968 12451(v)m 240 fnt82 7133 12454(unit)m 7561(to)s
7796(be)s 8074(smaller)s 8832(by)s 3600 12166(the)m 3948(length)s
4603(of)s 240 fnt83 4874 12168(gap)m 240 fnt82 5287 12166(than)m
5756(it)s 5948(w)s 2(ould)k 6603(otherwise)s 7588(ha)s 4(v)k 3(e)k
8089(been.)s 0 11661(In)m 256(each)s 751(case,)s 1269(the)s
1617(mode)s 2205(of)s 240 fnt83 2476 11663(gap)m 240 fnt82
2889 11661(is)m 3099(adopted)s 3915(within)s 240 fnt83 4583 11663(object)m
240 fnt82 5171 11661(.)m 480 11287(The)m 220 fnt35 908 11284(@Break)m
240 fnt82 1764 11287(symbol)m 2524(also)s 2962(controls)s 3783(h)s 1(yphenation:)k
220 fnt35 1141 10779(h)m 6(yphen @Break)k 240 fnt83 2772 10784(object)m
240 fnt82 3600 10782(Permit)m 4296(h)s 1(yphenation)k 5536(within)s
6204(the)s 6552(paragraphs)s 7652(of)s 240 fnt83 7923 10784(object)m
240 fnt82 8511 10782(;)m 220 fnt35 897 10274(noh)m 6(yphen @Break)k
240 fnt83 2772 10279(object)m 240 fnt82 3600 10277(Prohibit)m 4440(h)s 1(yphenation)k
5691(within)s 6370(the)s 6729(paragraphs)s 7840(of)s 240 fnt83
8122 10279(object)m 240 fnt82 8710 10277(;)m 8833(all)s 3600 9989(h)m 1(yphenation)k
4897(g)s 1(aps)k 5443(without)s 6291(e)s 3(xception)k
7332(re)s 6(v)k 3(ert)k 7996(to)s 8292(edge-)s
8812(to-)s 3600 9701(edge)m 4108(mode.)s 0 9198(The)m 220 fnt35
428 9195(@Break)m 240 fnt82 1284 9198(also)m 1722(has)s 2092(options)s
2848(which)s 3490(control)s 4222(wido)s 6(w)k 4922(and)s
5326(orphan)s 6048(lines:)s 220 fnt35 480 8690(unbreakab)m 4(le\207rst @Break)k
240 fnt83 3058 8695(ob)m 240 fnt82 3292 8693(-)m 240 fnt83
480 8407(ject)m 240 fnt82 3600 8693(Pre)m 6(v)k 3(ent)k
4431(column)s 5256(and)s 5710(page)s 6268(breaks)s 6993(\(i.e.)s
7458(pre)s 6(v)k 3(ent)k 8276(a)s 8492(g)s 1(alle)k 3(y)k
3600 8405(from)m 4147(splitting\))s 5081(between)s 5959(the)s 6330(\207rst)s
6784(and)s 7212(second)s 7958(lines)s 8483(of)s 8778(the)s
3600 8117(paragraphs)m 4700(of)s 240 fnt83 4971 8119(object)m 240 fnt82
5559 8117(;)m 220 fnt35 480 7609(unbreakab)m 4(lelast @Break)k 240 fnt83
3058 7614(ob)m 240 fnt82 3292 7612(-)m 240 fnt83 480 7326(ject)m
240 fnt82 3600 7612(Pre)m 6(v)k 3(ent)k 4429(column)s
5252(and)s 5704(page)s 6261(breaks)s 6984(between)s 7886(the)s
8282(last)s 8722(and)s 3600 7324(second)m 4323(last)s 4714(lines)s
5216(of)s 5487(the)s 5835(paragraphs)s 6935(of)s 240 fnt83
7206 7326(object)m 240 fnt82 7794 7324(.)m 0 6821(These)m 688(options)s
1506(w)s 2(ork)k 2119(by)s 2475(adding)s 3241(the)s
220 fnt35 3651 6818(u)m 240 fnt82 3881 6821(\(unbreakable\))m 5319(suf\207x)s
5980(to)s 6281(the)s 6691(appropriate)s 7897(g)s 1(aps)k
8448(during)s 0 6533(paragraph)m 1017(breaking,)s 1966(so)s 2237(their)s
2738(precise)s 3475(ef)s 6(fect)k 4076(is)s 4290(as)s
4545(described)s 5524(for)s 5866(this)s 6267(suf\207x.)s 6981(These)s
7612(options)s 8373(may)s 8844(be)s 0 6245(countermanded)m 1533(by)s
220 fnt35 1827 6242(breakab)m 4(le\207rst @Break)k 240 fnt82 4057 6245(and)m
220 fnt35 4461 6242(breakab)m 4(lelast @Break.)k 240 fnt82 480 5871(Se)m 6(v)k 3(eral)k
1310(options)s 2135(may)s 2669(be)s 3020(gi)s 6(v)k 3(en)k
3668(to)s 3976(the)s 220 fnt35 4392 5868(@Break)m 240 fnt82
5317 5871(symbol)m 6145(simultaneously)s 15(,)k 7754(in)s 8065(an)s 3(y)k
8531(order)s 13(.)k 0 5583(F)m 3(or)k 389(e)s 3(xample,)k
220 fnt35 480 5082({ adjust 1.2fx h)m 6(yphen }  @Break  ...)k 240 fnt82 0 4584(is)m
210(a)s 375(typical)s 1079(initial)s 1689(v)s 6(alue.)k
2365(There)s 2977(may)s 3442(be)s 3723(empty)s 4375(objects)s
5102(and)s 220 fnt35 5505 4581(@Null)m 240 fnt82 6149 4584(objects)m
6877(in)s 7119(the)s 7466(left)s 7842(parameter)s 8855(of)s
220 fnt35 0 4293(@Break)m 240 fnt82 796 4296(;)m 908(these)s
1455(are)s 1802(ignored.)s 240 fnt84 0 3503(3.5.)m 471(@Space)s
240 fnt82 480 3026(The)m 220 fnt35 911 3023(@Space)m 240 fnt82
1812 3026(symbol)m 2576(changes)s 3402(the)s 3754(v)s 6(alue)k
4326(of)s 4601(the)s 220 fnt35 4953 3023(s)m 240 fnt82
5120 3026(unit)m 5556(of)s 5831(measurement)s 7169(\(Section)s 8026(3.2\))s
8458(within)s 0 2738(its)m 276(right)s 787(parameter)s 1801(to)s
2040(the)s 2388(v)s 6(alue)k 2956(gi)s 6(v)k 3(en)k
3536(by)s 3830(the)s 4178(left)s 4555(parameter:)s 220 fnt35
480 2237(1c @Space { a b c d })m 240 fnt82 0 1741(has)m 370(result)s 480 1288(a)m
1153(b)s 1833(c)s 2499(d)s 0 835(As)m 311(for)s
643(the)s 220 fnt35 985 832(@Break)m 240 fnt82 1835 835(symbol,)m
2641(the)s 2982(left)s 3353(parameter)s 4361(of)s 220 fnt35
4626 832(@Space)m 240 fnt82 5517 835(may)m 5976(be)s 6252(gi)s 6(v)k 3(en)k
6826(relati)s 6(v)k 3(e)k 7582(to)s 7815(the)s
8156(enclosing)s 220 fnt35 0 544(s)m 240 fnt82 163 547(unit,)m
642(and)s 1046(it)s 1238(may)s 1704(include)s 2464(a)s
2630(g)s 1(ap)k 3028(mode.)s 3724(Note)s 4245(that)s
4663(the)s 220 fnt35 5011 544(@F)m 6(ont)k 240 fnt82
5723 547(symbol)m 6483(also)s 6921(sets)s 7330(the)s 220 fnt35
7678 544(s)m 240 fnt82 7841 547(unit.)m 480 173(The)m 906(left)s
1280(parameter)s 2292(of)s 2560(the)s 220 fnt35 2906 170(@Space)m
240 fnt82 3800 173(symbol)m 4558(may)s 5021(also)s 5456(hold)s
5938(an)s 3(y)k 6332(one)s 6732(of)s 7000(the)s
7346(\207v)s 3(e)k 7755(special)s 8470(v)s 6(alues)k

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 44 50
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(44)m 240 fnt83 6081 13843(Chapter)m 6931(3.)s
7205(Pr)s 8(ede\207ned)k 8300(symbols)s 220 fnt35 0 13202(lout)m
240 fnt82 349 13205(,)m 220 fnt35 461 13202(compress)m 240 fnt82
1406 13205(,)m 220 fnt35 1518 13202(separ)m 2(ate)k 240 fnt82
2362 13205(,)m 220 fnt35 2474 13202(troff)m 240 fnt82 2849 13205(,)m
2961(and)s 220 fnt35 3371 13202(te)m 6(x)k 240 fnt82
3656 13205(,)m 3768(which)s 4415(control)s 5152(the)s 5505(w)s 2(ay)k
5962(in)s 6210(which)s 6857(Lout)s 7374(treats)s 7946(white)s
8539(space)s 0 12917(separating)m 1047(tw)s 2(o)k 1470(objects.)s
2324(The)s 2764(names)s 220 fnt35 3439 12914(troff)m 240 fnt82
3887 12917(and)m 220 fnt35 4304 12914(te)m 6(x)k 240 fnt82
4661 12917(indicate)m 5486(that)s 5917(the)s 6278(beha)s 4(viour)k
7303(of)s 7587(these)s 8147(options)s 8916(is)s 0 12629(inspired)m
828(by)s 1122(these)s 1669(other)s 2220(document)s 3224(formatting)s
4285(systems.)s 480 12255(The)m 897(def)s 2(ault)k 1607(setting,)s
220 fnt35 2339 12252(lout)m 240 fnt82 2688 12255(,)m 2784(produces)s
3687(as)s 3926(man)s 3(y)k 4498(spaces)s 5161(in)s
5393(the)s 5729(output)s 6390(as)s 6629(there)s 7150(are)s
7486(in)s 7717(the)s 8054(input.)s 8698(The)s 220 fnt35
0 11964(compress)m 240 fnt82 1017 11967(setting)m 1719(causes)s 2407(all)s
2712(sequences)s 3746(of)s 4029(tw)s 2(o)k 4452(or)s
4723(more)s 5283(white)s 5882(space)s 6482(characters)s 7512(to)s
7764(be)s 8058(treated)s 8778(the)s 0 11679(same)m 556(as)s
815(one)s 1227(white)s 1823(space)s 2419(character)s 13(.)k
3454(The)s 220 fnt35 3891 11676(separ)m 2(ate)k 240 fnt82
4804 11679(setting)m 5504(is)s 5723(lik)s 2(e)k 220 fnt35
6144 11676(compress)m 240 fnt82 7159 11679(b)m 4(ut)k 7530(also)s
7977(causes)s 8662(zero)s 0 11391(white)m 587(spaces)s 1263(between)s
2118(tw)s 2(o)k 2529(objects)s 3258(\(b)s 4(ut)k
3700(not)s 4067(within)s 4736(one)s 5138(w)s 2(ord\))k
5757(to)s 5997(be)s 6280(treated)s 6988(the)s 7337(same)s
7885(as)s 8136(one)s 8539(white)s 0 11103(space)m 587(character)s 13(.)k
480 10729(The)m 220 fnt35 902 10726(troff)m 240 fnt82 1330 10729(setting)m
2013(is)s 2216(the)s 2557(same)s 3097(as)s 220 fnt35
3340 10726(lout)m 240 fnt82 3742 10729(e)m 3(xcept)k 4416(that)s
4828(where)s 6(v)k 3(er)k 5761(a)s 5920(sentence)s
6792(ends)s 7275(at)s 7500(the)s 7841(end)s 8238(of)s
8502(a)s 8661(line,)s 0 10441(one)m 415(e)s 3(xtra)k
962(space)s 1562(is)s 1785(added.)s 2535(F)s 3(ormally)k 15(,)k
3513(when)s 4102(tw)s 2(o)k 4525(objects)s 5266(are)s
5627(separated)s 6600(by)s 6907(white)s 7507(space)s 8108(characters)s
0 10153(which)m 660(include)s 1439(at)s 1689(least)s 2205(one)s
2625(ne)s 6(wline)k 3451(character)s 9(,)k 4442(and)s
4864(the)s 5231(\207rst)s 5680(object)s 6343(is)s 6572(a)s
6756(w)s 2(ord)k 7323(ending)s 8046(in)s 8308(an)s 3(y)k
8724(one)s 0 9865(of)m 288(a)s 471(certain)s 1194(set)s
1536(of)s 1824(sequences)s 2862(of)s 3150(characters,)s 4241(the)s
4606(e)s 3(xtra)k 5157(space)s 5761(is)s 5988(added.)s
6741(The)s 7186(set)s 7528(of)s 7816(sequences)s 8855(of)s
0 9577(characters)m 1025(depends)s 1868(on)s 2173(the)s 2528(current)s
3272(language)s 4199(and)s 4610(is)s 4828(de\207ned)s 5598(in)s
5849(the)s 220 fnt35 6204 9574(langdef)m 240 fnt82 6987 9577(for)m
7333(that)s 7758(language)s 8686(\(see)s 0 9289(Section)m 774(3.9\).)s
480 8915(The)m 220 fnt35 930 8912(te)m 6(x)k 240 fnt82
1297 8915(option)m 1989(is)s 2221(the)s 2592(most)s 3139(complicated.)s
4494(First,)s 5060(the)s 220 fnt35 5430 8912(compress)m 240 fnt82
6458 8915(option)m 7149(is)s 7382(applied.)s 8272(Then,)s 8894(at)s
0 8627(e)m 6(v)k 3(ery)k 576(sentence)s 1455(ending,)s
2213(whether)s 3043(or)s 3302(not)s 3667(at)s 3899(the)s
4246(end)s 4650(of)s 4921(a)s 5086(line,)s 5551(one)s
5952(e)s 3(xtra)k 6486(space)s 7073(is)s 7282(added.)s
8018(A)s 8247(sentence)s 0 8339(ending)m 709(is)s 923(de\207ned)s
1690(as)s 1944(for)s 220 fnt35 2286 8336(troff)m 240 fnt82
2726 8339(e)m 3(xcept)k 3411(that,)s 3880(in)s 4127(addition)s
4972(to)s 5215(the)s 5568(preceding)s 6568(w)s 2(ord)k
7120(ha)s 4(ving)k 7825(to)s 8068(end)s 8476(in)s
8724(one)s 0 8051(of)m 268(a)s 431(certain)s 1134(set)s
1456(of)s 1724(sequences)s 2742(of)s 3010(characters,)s 4081(the)s
4426(character)s 5357(preceding)s 6350(that)s 6765(sequence)s 7695(must)s
8217(e)s 3(xist)k 8722(and)s 0 7763(must)m 525(be)s
807(a)s 973(lo)s 6(wer)k 4(-case)k 2053(letter)s 13(.)k
2693(A)s 2924(character)s 3858(is)s 4068(a)s 4234(lo)s 6(wer)k 4(-case)k
5314(letter)s 5864(if,)s 6116(in)s 6359(the)s 6707(Lout)s
7219(Character)s 8208(Mapping)s 0 7475(\207le)m 393(\(Section)s 1278(3.3\))s
1738(associated)s 2810(with)s 3325(the)s 3705(current)s 4473(font,)s
4997(an)s 5313(upper)s 4(-case)k 6432(equi)s 6(v)k 6(alent)k
7508(of)s 7811(the)s 8192(character)s 0 7187(is)m 210(de\207ned.)s
240 fnt84 0 6444(3.6.)m 471(@YUnit,)s 1432(@ZUnit,)s 2380(@CurrYUnit,)s
3859(and)s 4300(@CurrZUnit)s 240 fnt82 480 5973(The)m 220 fnt35
917 5970(@YUnit)m 240 fnt82 1741 5973(symbol)m 2510(changes)s 3342(the)s
3699(v)s 6(alue)k 4277(of)s 4557(the)s 220 fnt35
4915 5970(y)m 240 fnt82 5092 5973(unit)m 5534(of)s 5814(measurement)s
7158(\(Section)s 8020(3.2\))s 8458(within)s 0 5685(its)m 276(right)s
787(parameter)s 1801(to)s 2040(the)s 2388(v)s 6(alue)k
2956(gi)s 6(v)k 3(en)k 3536(by)s 3830(the)s
4178(left)s 4555(parameter:)s 220 fnt35 480 5184(1c @YUnit { ...)m 13( })k
240 fnt82 0 4690(ensures)m 760(that)s 1170(the)s 1510(v)s 6(alue)k
2070(of)s 220 fnt35 2333 4687(1y)m 240 fnt82 2615 4690(within)m
3275(the)s 3615(right)s 4118(parameter)s 5124(will)s 5542(be)s
220 fnt35 5816 4687(1c)m 240 fnt82 6043 4690(.)m 6199(The)s
220 fnt35 6619 4687(@ZUnit)m 240 fnt82 7413 4690(symbol)m 8165(is)s
8366(similar)s 9(,)k 0 4402(setting)m 688(the)s 1034(v)s 6(alue)k
1600(of)s 1869(the)s 220 fnt35 2215 4399(z)m 240 fnt82
2376 4402(unit)m 2806(in)s 3047(its)s 3321(right)s 3830(parameter)s 13(.)k
4933(Both)s 5453(units)s 5967(ha)s 4(v)k 3(e)k
6466(def)s 2(ault)k 7185(v)s 6(alue)k 7751(zero.)s
8324(The)s 8749(left)s 0 4114(parameter)m 1011(may)s 1473(not)s
1836(include)s 2592(a)s 2755(g)s 1(ap)k 3149(mode,)s
3784(nor)s 4160(may)s 4622(it)s 4811(use)s 5182(the)s
220 fnt35 5526 4111(w)m 240 fnt82 5682 4114(,)m 220 fnt35
5786 4111(b)m 240 fnt82 5900 4114(,)m 220 fnt35 6003 4111(r)m
240 fnt82 6076 4114(,)m 6180(or)s 6435(of)s 6702(course)s
220 fnt35 7379 4111(d)m 240 fnt82 7545 4114(units,)m 8114(b)s 4(ut)k
8472(it)s 8660(may)s 0 3826(be)m 3(gin)k 577(with)s
220 fnt35 1050 3823(+)m 240 fnt82 1220 3826(or)m 220 fnt35
1470 3823(-)m 240 fnt82 1584 3826(to)m 1814(indicate)s 2616(that)s
3025(v)s 6(alue)k 3583(is)s 3784(to)s 4014(be)s
4286(added)s 4907(to)s 5136(or)s 5386(subtracted)s 6416(from)s
6931(the)s 7269(current)s 7996(v)s 6(alue.)k 8662(An)s 3(y)k
0 3538(ne)m 3(g)k 1(ati)k 6(v)k 3(e)k
853(result)s 1443(of)s 1714(using)s 220 fnt35 2286 3535(-)m
240 fnt82 2410 3538(will)m 2836(be)s 3118(silently)s 3875(replaced)s
4742(by)s 5036(zero.)s 480 3164(The)m 220 fnt35 913 3161(@CurrYUnit)m
240 fnt82 2159 3164(and)m 220 fnt35 2569 3161(@CurrZUnit)m 240 fnt82
3803 3164(symbols)m 4658(report)s 5294(the)s 5648(v)s 6(alue)k
6222(of)s 6499(the)s 220 fnt35 6853 3161(y)m 240 fnt82
7027 3164(and)m 220 fnt35 7437 3161(z)m 240 fnt82 7607 3164(units,)m
8185(in)s 8434(points,)s 0 2876(truncated)m 947(to)s 1186(the)s
1534(nearest)s 2270(inte)s 3(ger)k 13(.)k 3081(F)s 3(or)k
3470(e)s 3(xample,)k 220 fnt35 480 2375(1i @YUnit { )m 11(The current v)k 5(alue of the y unit is @CurrYUnit })k
240 fnt82 0 1877(produces)m 220 fnt35 480 1376(1i @YUnit { )m 11(The current v)k 5(alue of the y unit is @CurrYUnit })k
240 fnt82 0 878(since)m 547(there)s 1080(are)s 1427(72)s
1721(points)s 2357(in)s 2600(one)s 3002(inch)s 3471(\(at)s
3782(least,)s 4326(Lout)s 4838(thinks)s 5474(there)s 6007(are\).)s
480 504(These)m 1123(units)s 1655(are)s 2018(not)s 2400(used)s
2913(internally)s 3898(by)s 4208(Lout.)s 4840(The)s 3(y)k
5399(are)s 5762(supplied)s 6647(as)s 6913(part)s 7360(of)s
7647(the)s 8011(style)s 8534(infor)s 8998(-)s 0 216(mation)m
731(for)s 1080(the)s 1439(con)s 9(v)k 3(enience)k
2690(of)s 2972(application)s 4102(packages.)s 5154(F)s 3(or)k
5554(e)s 3(xample,)k 6479(the)s 6838(Eq)s 7173(equation)s
8065(formatting)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 45 51
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(3.6.)m 454(@YUnit,)s 1325(@ZUnit,)s 2196(@CurrYUnit,)s
3533(and)s 3959(@CurrZUnit)s 240 fnt84 8833 13840(45)m 240 fnt82
0 13224(package)m 840(uses)s 1303(them)s 1841(to)s 2080(\207ne-)s
2507(tune)s 2975(the)s 3323(appearance)s 4454(of)s 4725(equations.)s
240 fnt84 0 12431(3.7.)m 471(@SetColour)s 1788(and)s 2229(@SetColor)s
240 fnt82 480 11999(The)m 220 fnt35 927 11996(@SetColour)m 240 fnt82
2204 11999(and)m 220 fnt35 2628 11996(@SetColor)m 240 fnt82 3783 11999(symbols,)m
4708(which)s 5370(ha)s 4(v)k 3(e)k 5891(identical)s
6788(ef)s 6(fect,)k 7451(return)s 8098(their)s 8615(right)s
0 11711(parameter)m 1047(in)s 1323(the)s 1704(colour)s 2408(speci\207ed)s
3349(by)s 3676(their)s 4206(left)s 4617(parameter)s 13(.)k
5755(The)s 6216(form)s 6773(of)s 7077(the)s 7458(left)s
7868(parameter)s 8916(is)s 0 11423(implementation-dependent;)m 2693(in)s 2954(Basser)s
3670(Lout)s 4200(it)s 4410(must)s 4954(be)s 5254(an)s
5555(object)s 6218(whose)s 6904(v)s 6(alue)k 7490(is)s
7719(a)s 7903(sequence)s 8855(of)s 0 11135(w)m 2(ords)k
634(comprising)s 1763(a)s 1929(PostScript)s 2971(command)s 3973(for)s
4311(setting)s 5001(colour)s 13(.)k 5763(F)s 3(or)k
6152(e)s 3(xample,)k 220 fnt35 480 10634({ 1.0 0.0 0.0 setrgbcolor } @SetColour { hello)m 8(, w)k 2(or)k -3(ld })k
240 fnt82 0 10135(produces)m 915(the)s 1263(red)s 1626(result)s
1.0 0.0 0.0 setrgbcolor 480 9632(hello,)m 1065(w)s 2(orld)k 0.0 0.0 0.0 setrgbcolor
0 9148(Of)m 322(course,)s 1050(a)s 1213(colour)s 1881(output)s
2550(de)s 6(vice)k 3222(is)s 3429(needed)s 4162(to)s
4398(see)s 4756(the)s 5101(ef)s 6(fect;)k 5747(on)s
6041(a)s 6204(monochrome)s 7520(de)s 6(vice)k 8191(the)s
8536(result)s 0 8860(will)m 422(be)s 700(some)s 1257(shade)s
1854(of)s 2121(gre)s 3(y)k 15(.)k 2688(The)s
220 fnt35 3112 8857(@SetColour)m 240 fnt82 4365 8860(command)m 5363(will)s
5785(not)s 6147(accept)s 6813(an)s 7092(empty)s 7740(left)s
8112(parameter)s 0 8572(\(it)m 273(refuses)s 1002(to)s 1243(belie)s 6(v)k 3(e)k
1983(that)s 2403(this)s 2801(could)s 3393(cause)s 3983(a)s
4151(change)s 4887(of)s 5161(colour\),)s 5960(b)s 4(ut)k
6324(otherwise)s 7311(it)s 7506(trusts)s 8076(the)s 8426(user)s
8887(to)s 0 8284(supply)m 693(something)s 1743(sensible.)s 480 7910(The)m
220 fnt35 901 7907(@SetColour)m 240 fnt82 2151 7910(command)m 3145(accepts)s
3892(the)s 4232(special)s 4943(v)s 6(alue)k 220 fnt35
5504 7907(nochange)m 240 fnt82 6512 7910(for)m 6843(the)s 7183(left)s
7553(parameter)s 13(.)k 8650(This)s 0 7622(v)m 6(alue)k
574(causes)s 1256(the)s 1611(right)s 2129(parameter)s 3150(to)s
3396(ha)s 4(v)k 3(e)k 3904(the)s 4258(colour)s
4936(it)s 5135(w)s 2(ould)k 5797(ha)s 4(v)k 3(e)k
6305(had)s 6716(without)s 7514(the)s 220 fnt35 7869 7619(@SetColour)m
240 fnt82 0 7334(command.)m 480 6960(There)m 1132(is)s 1382(no)s
1715(def)s 2(ault)k 2476(colour)s 9(,)k 3225(so)s
3530(the)s 3918(user)s 4416(must)s 4981(ensure)s 5701(that)s
6159(the)s 6546(root)s 7031(g)s 1(alle)k 3(y)k
7705(or)s 8004(each)s 8539(of)s 8850(its)s 0 6672(components)m
1208(is)s 1418(enclosed)s 2313(in)s 2556(a)s 220 fnt35
2722 6669(@SetColour)m 240 fnt82 3979 6672(symbol)m 4739(whose)s 5407(left)s
5784(parameter)s 6798(is)s 7008(not)s 220 fnt35 7374 6669(nochange)m
240 fnt82 8330 6672(.)m 480 6298(Lout)m 1023(mak)s 2(es)k
1715(no)s 2039(attempt)s 2847(to)s 3117(understand)s 4257(colour)s 9(,)k
4998(it)s 5221(simply)s 5958(prints)s 6584(the)s 6964(PostScript)s
8038(commands)s 0 6010(when)m 601(appropriate.)s 1879(This)s 2381(has)s
2776(the)s 3150(adv)s 6(antage)k 4196(of)s 4492(permitting)s
5566(access)s 6253(to)s 6517(an)s 3(y)k 6940(of)s
7237(PostScript')s 13(s)k 8455(colour)s 0 5722(models)m 768(\(some)s
1434(require)s 2192(initialization)s 3481(which)s 4149(can)s 4564(be)s
4872(supplied)s 5767(using)s 220 fnt35 6365 5719(@PrependGr)m 2(aphic)k
240 fnt82 8178 5722(\),)m 8390(b)s 4(ut)k 8778(the)s
0 5434(disadv)m 6(antage)k 1299(of)s 1570(of)s 6(fering)k
2386(no)s 2679(w)s 2(ay)k 3130(to)s 3369(mak)s 2(e)k
3941(relati)s 6(v)k 3(e)k 4703(changes)s 5525(\(`as)s
5933(before)s 6599(only)s 7079(redder)s 9(,)k 16(')k
7836(and)s 8240(so)s 8506(on\).)s 480 5060(F)m 3(or)k
870(those)s 1432(who)s 1899(wish)s 2409(to)s 2649(obtain)s
3305(colour)s 3977(without)s 4769(w)s 2(orking)k 5619(v)s 3(ery)k
6096(hard,)s 6629(the)s 220 fnt35 6978 5057(setrgbcolor)m 240 fnt82
8124 5060(command)m 0 4772(used)m 496(abo)s 3(v)k 3(e)k
1117(is)s 1325(a)s 4(v)k 6(ailable)k 2232(in)s
2474(e)s 6(v)k 3(ery)k 3048(v)s 3(ersion)k
3805(of)s 4075(PostScript,)s 5162(requires)s 5981(no)s 6273(initialization,)s
7584(and)s 7987(is)s 8196(simple)s 8887(to)s 0 4484(use.)m
485(The)s 915(three)s 1450(numbers,)s 2384(which)s 3028(range)s
3617(from)s 4143(0.0)s 4501(to)s 4742(1.0,)s 5151(determine)s
6164(the)s 6515(intensity)s 7394(of)s 7667(red,)s 8081(green,)s
8722(and)s 0 4196(blue)m 468(respecti)s 6(v)k 3(ely)k 15(.)k
1762(Some)s 2363(useful)s 3002(v)s 6(alues)k 3658(for)s
3996(the)s 4344(left)s 4721(parameter)s 5735(are)s 220 fnt35
480 3631(1.0)m 838(0.0)s 1196(0.0)s 1554(setrgbcolor)s 240 fnt83
2979 3636(r)m 8(ed)k 220 fnt35 480 3312(0.0)m 838(1.0)s
1196(0.0)s 1554(setrgbcolor)s 240 fnt83 2979 3317(gr)m 8(een)k
220 fnt35 480 2982(0.0)m 838(0.0)s 1196(1.0)s 1554(setrgbcolor)s
240 fnt83 2979 2987(blue)m 220 fnt35 480 2652(1.0)m 838(1.0)s
1196(1.0)s 1554(setrgbcolor)s 240 fnt83 2979 2657(white)m 220 fnt35
480 2333(0.5)m 837(0.5)s 1194(0.5)s 1551(setrgbcolor)s 240 fnt83
2979 2338(gr)m 8(e)k 7(y)k 220 fnt35 480 2003(0.0)m
838(0.0)s 1196(0.0)s 1554(setrgbcolor)s 240 fnt83 2979 2008(blac)m 4(k)k
240 fnt82 0 1447(Colouring)m 1042(an)s 1344(object)s 2007(white)s
2613(is)s 2841(useful)s 3499(for)s 3856(producing)s 4899(an)s
5200(empty)s 5871(space)s 6477(whose)s 7164(size)s 7609(is)s
7838(that)s 8275(of)s 8565(some)s 0 1159(object.)m 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 46 52
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(46)m 240 fnt83 6081 13843(Chapter)m 6931(3.)s
7205(Pr)s 8(ede\207ned)k 8300(symbols)s 240 fnt84 0 13203(3.8.)m
471(@Outline)s 240 fnt82 480 12771(The)m 220 fnt35 895 12768(@Outline)m
240 fnt82 1850 12771(symbol)m 2597(causes)s 3258(all)s 3537(the)s
3872(w)s 2(ords)k 4492(in)s 4722(the)s 5056(right)s
5553(parameter)s 6554(\(which)s 7261(may)s 7714(be)s 7982(an)s
8251(arbitrary)s 0 12483(object\))m 712(to)s 951(be)s 1233(printed)s
1968(in)s 2211(outline,)s 2982(rather)s 3598(than)s 4067(\207lled)s
4616(as)s 4866(is)s 5076(usual.)s 5745(F)s 3(or)k
6134(e)s 3(xample,)k 220 fnt35 480 11982(@Outline @Bo)m 6(x 24p @F)k 6(ont HELP)k
240 fnt82 0 11486(produces)m 1336 461 72 180 240 288 60 480 10685 LoutGr2
LoutBox   stroke
grestore
480 fnt82 72 72(HELP)mo 
grestore
0 10234(Outlining)m
984(is)s 1209(part)s 1654(of)s 1940(the)s 2303(style)s
2824(information,)s 4074(in)s 4332(the)s 4694(same)s 5256(w)s 2(ay)k
5721(as)s 5986(colour)s 9(,)k 6710(font,)s 7216(underlining,)s
8441(and)s 8860(so)s 0 9946(forth.)m 630(Outlining)s 1602(can)s
1994(be)s 2278(applied)s 3042(to)s 3284(an)s 3(y)k
3683(font)s 4131(lik)s 2(ely)k 4729(to)s 4970(be)s
5255(used)s 5754(in)s 6000(practice.)s 6921(At)s 7222(the)s
7573(time)s 8055(of)s 8329(writing,)s 0 9658(there)m 528(is)s
732(no)s 1020(w)s 2(ay)k 1465(to)s 1699(control)s
2425(the)s 2768(thickness)s 3703(of)s 3969(the)s 4311(outline,)s
5077(and)s 220 fnt35 5475 9655(@Outline)m 240 fnt82 6439 9658(has)m
6803(no)s 7091(ef)s 6(fect)k 7681(in)s 7919(PDF)s
8410(output.)s 0 9370(The)m 424(size)s 847(of)s 1114(outlined)s
1952(w)s 2(ords)k 2582(is)s 2788(tak)s 2(en)k
3357(by)s 3647(Lout)s 4155(to)s 4390(be)s 4668(the)s
5012(same)s 5555(as)s 5801(if)s 6014(the)s 3(y)k
6473(had)s 6873(not)s 7235(been)s 7740(outlined,)s 8626(e)s 6(v)k 3(en)k
0 9082(though)m 723(the)s 3(y)k 1186(are)s 1533(in)s
1776(reality)s 2439(slightly)s 3210(lar)s 4(ger)k 13(.)k
240 fnt84 0 8289(3.9.)m 471(@Language)s 1762(and)s 2203(@CurrLang)s
240 fnt82 480 7812(The)m 220 fnt35 905 7809(@Language)m 240 fnt82
2153 7812(symbol)m 2910(informs)s 3701(Lout)s 4210(that)s 4625(its)s
4898(right)s 5406(parameter)s 6417(is)s 6624(written)s 7354(in)s
7594(the)s 7939(language)s 8855(of)s 0 7524(its)m 276(left)s
653(parameter:)s 220 fnt35 480 7023(Danish  @Language  { ...)m 13( })k 240 fnt82
0 6524(Basser)m 706(Lout)s 1228(V)s 26(ersion)k 2025(3)s
2199(uses)s 2671(this)s 3077(information)s 4271(in)s 4524(tw)s 2(o)k
4943(w)s 2(ays:)k 5609(to)s 5857(h)s 1(yphenate)k
6906(w)s 2(ords)k 7549(appropriately)s 8887(to)s 0 6236(that)m
418(language,)s 1389(and)s 1793(to)s 2032(change)s 2766(the)s
3114(v)s 6(alue)k 3682(of)s 3953(the)s 220 fnt35
4301 6233(@CurrLang)m 240 fnt82 5486 6236(symbol)m 6246(\(see)s 6686(belo)s 6(w\).)k
7508(Other)s 8112(uses,)s 8630(such)s 0 5948(as)m 250(right-to-left)s
1422(formatting)s 2483(of)s 2754(certain)s 3460(languages,)s 4524(may)s
4990(be)s 5272(added)s 5902(in)s 6145(the)s 6493(future.)s
480 5574(The)m 953(left)s 1375(parameter)s 2434(must)s 3004(either)s
3652(be)s 3979(empty)s 4676(\(which)s 5442(means)s 6149(to)s
6433(lea)s 4(v)k 3(e)k 7031(the)s 7424(current)s
8206(language)s 0 5286(unchanged\))m 1167(or)s 1428(else)s 1857(it)s
2051(must)s 2578(ha)s 4(v)k 3(e)k 3080(been)s
3591(gi)s 6(v)k 3(en)k 4173(in)s 4418(a)s
220 fnt35 4586 5283(langdef)m 240 fnt82 5363 5286(language)m 6285(de\207nition)s
7261(at)s 7495(the)s 7845(be)s 3(ginning)k 8855(of)s
0 4998(the)m 348(input:)s 220 fnt35 480 4490(langdef  Danish  Dansk  {)m 240 fnt83
2993 4495(implementation-dependent)m 220 fnt35 5608 4490(})m 240 fnt82 0 3991(After)m
220 fnt35 571 3988(langdef)m 240 fnt82 1355 3991(comes)m 2025(a)s
2199(sequence)s 3140(of)s 3419(one)s 3829(or)s 4096(more)s
4651(simple)s 5352(w)s 2(ords,)k 6050(which)s 6700(are)s
7055(alternati)s 6(v)k 3(e)k 8117(names)s 8788(for)s
0 3703(the)m 347(language)s 1265(being)s 1849(de\207ned.)s 2716(F)s 3(ollo)k 6(wing)k
3743(them)s 4279(comes)s 4940(an)s 5221(implementation-dependent)s 7843(part)s
8272(between)s 0 3415(braces.)m 760(In)s 1001(Basser)s 1684(Lout)s
2181(V)s 26(ersion)k 2955(3)s 3104(this)s 3486(part)s
3902(contains)s 4736(the)s 5069(name)s 5629(of)s 5885(the)s
6219(Lout)s 6716(h)s 1(yphenation)k 7941(information)s 0 3127(\207le)m
383(\(minus)s 1121(its)s 1419(.lh)s 1745(suf\207x\))s 2441(to)s
2702(be)s 3007(used)s 3527(when)s 4125(h)s 1(yphenating)k
5384(w)s 2(ords)k 6040(in)s 6306(this)s 6725(language,)s
7718(follo)s 6(wed)k 8643(by)s 8960(a)s 0 2839(sequence)m
933(of)s 1204(w)s 2(ords)k 1838(which)s 2480(de\207ne)s
3121(the)s 3469(ends)s 3959(of)s 4230(sentences.)s 5310(F)s 3(or)k
5699(e)s 3(xample:)k 220 fnt35 480 2339(langdef English { english  .)m 13(  :)k 11(  ?  !  .\)  ?\)  !\)  })k
240 fnt82 0 1840(de\207nes)m 748(a)s 934(language)s 1874(called)s
2522(English)s 3329(with)s 3831(h)s 1(yphenation)k 5091(patterns)s
5918(\207le)s 220 fnt35 6298 1837(english.lh)m 240 fnt82 7289 1840(and)m
7713(se)s 6(v)k 3(en)k 8326(w)s 2(ays)k
8887(to)s 0 1552(end)m 424(a)s 610(sentence.)s 1617(The)s
2065(use)s 2460(of)s 2751(these)s 3318(sentence)s 4217(endings)s
5034(is)s 5264(described)s 6258(in)s 6521(Section)s 7315(3.5.)s
7799(If)s 8049(there)s 8602(is)s 8833(no)s 0 1264(h)m 1(yphenation)k
1236(\207le)s 1592(a)s 4(v)k 6(ailable,)k 2546(this)s
2937(is)s 3143(indicated)s 4072(by)s 4361(writing)s 220 fnt35
5099 1261(-)m 240 fnt82 5219 1264(for)m 5552(the)s 5895(\207le)s
6251(name;)s 6877(if)s 7089(there)s 7617(are)s 7959(no)s
8247(sentence)s 0 976(ends,)m 546(the)s 3(y)k 1009(are)s
1356(simply)s 2061(omitted.)s 480 602(The)m 220 fnt35 913 599(@CurrLang)m
240 fnt82 2103 602(symbol,)m 2920(which)s 3567(has)s 3942(no)s
4240(parameters,)s 5399(e)s 6(v)k 6(aluates)k 6332(to)s
6576(the)s 6929(\207rst)s 7365(name)s 7944(gi)s 6(v)k 3(en)k
8529(in)s 8778(the)s 220 fnt35 0 311(langdef)m 240 fnt82
776 314(of)m 1047(the)s 1395(language)s 2315(in)s 2558(force)s
3104(at)s 3336(the)s 3684(point)s 4236(where)s 4876(it)s
5068(is)s 5278(in)s 9(v)k 4(ok)k 2(ed:)k

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 47 53
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(3.9.)m 454(@Langua)s 2(g)k 2(e)k
1682(and)s 2108(@CurrLang)s 240 fnt84 8831 13840(47)m 220 fnt35
480 13207(Dansk  @Language  { )m 11(This is @CurrLang.)k 13( })k 240 fnt82 0 12708(has)m
370(result)s 480 12255(This)m 956(is)s 1166(Danish.)s 0 11802(It)m
205(is)s 415(typically)s 1305(used)s 1802(with)s 2284(the)s
220 fnt35 2632 11799(@Case)m 240 fnt82 3419 11802(symbol)m 4179(lik)s 2(e)k
4591(this:)s 220 fnt35 480 11301(@CurrLang  @Case  {)m 480 11013(    Danish  @Y)m 4(ield  tirsdag)k
480 10725(    English  @Y)m 4(ield  )k 11(T)k 26(uesda)k 6(y)k
480 10437(    F)m 9(rench  @Y)k 4(ield  Mardi)k 480 10149(})m 240 fnt82
0 9655(This)m 476(e)s 3(xample)k 1339(e)s 6(v)k 6(aluates)k
2267(to)s 2506(the)s 2854(name)s 3428(of)s 3699(the)s
4047(third)s 4556(day)s 4956(of)s 5227(the)s 5575(week)s
6141(in)s 6384(the)s 6732(current)s 7468(language.)s 480 9281(The)m
908(current)s 1644(language)s 2563(is)s 2773(part)s 3204(of)s
3474(the)s 3822(style)s 4329(of)s 4599(an)s 4882(object,)s
5573(lik)s 2(e)k 5984(its)s 6260(font.)s 6809(As)s
7125(e)s 3(xplained)k 8110(in)s 8352(Section)s 0 8993(2.6,)m
419(style)s 939(is)s 1162(inherited)s 2081(through)s 2896(the)s
3257(point)s 3822(of)s 4105(appearance,)s 5300(which)s 5955(for)s
6305(language)s 7238(can)s 7640(be)s 7935(une)s 3(xpected.)k
0 8705(F)m 3(or)k 380(e)s 3(xample,)k 1284(an)s
1557(inde)s 3(x)k 2131(entry)s 2666(which)s 3298(originates)s
4281(in)s 4514(a)s 4671(French)s 5382(chapter)s 6135(b)s 4(ut)k
6487(appears)s 7258(in)s 7491(an)s 7764(English)s 8542(inde)s 3(x)k
0 8417(will)m 426(ha)s 4(v)k 3(e)k 927(English)s
1715(for)s 2053(its)s 2329(language,)s 3300(so)s 3566(must)s
4091(be)s 4373(e)s 3(xplicitly)k 5326(set)s 5651(to)s
5890(French)s 6611(using)s 220 fnt35 7183 8414(@Language)m 240 fnt82
8374 8417(.)m 240 fnt84 0 7624(3.10.)m 591(@OneCol)s 1653(and)s
2094(@OneRo)s 2(w)k 240 fnt82 480 7192(The)m 220 fnt35
913 7189(@OneRo)m 3(w)k 240 fnt82 2049 7192(symbol)m 2814(returns)s
3533(its)s 3814(right)s 4330(parameter)s 5350(modi\207ed)s 6264(so)s
6535(that)s 6958(only)s 7443(the)s 7796(principal)s 8706(ro)s 6(w)k
0 6904(mark)m 540(protrudes.)s 1595(This)s 2059(is)s 2257(normally)s
3162(the)s 3498(\207rst)s 3917(ro)s 6(w)k 4324(mark,)s
4910(b)s 4(ut)k 5260(another)s 6025(one)s 6415(may)s
6869(be)s 7139(chosen)s 7849(by)s 8130(preceding)s 0 6616(it)m
192(with)s 220 fnt35 674 6613(^/)m 240 fnt82 901 6616(or)m
220 fnt35 1160 6613(^//)m 240 fnt82 1388 6616(.)m 1552(F)s 3(or)k
1941(e)s 3(xample,)k 220 fnt35 480 6115(@OneRo)m 3(w {  |0.5r)k -8(t  Slope @F)k 6(ont x + 2  ^//1p  @HLine  //1p  |0.5r)k -8(t  5 })k
240 fnt82 0 5619(has)m 370(result)s 468 371 0 188 240 288 60 480 4640 LoutGr2
grestore save gsave 200 dict begin lfigdict begin
grestore
468 371 0 188 240 288 60 0 0 LoutGr2
/lfiglightgrey [ lfigbox ] gsave lfigpaintpath grestore
0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore
468 371 0 188 240 288 60 0 0 LoutGr2

0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigdashed [ -0.3 cm ymark
xsize ymark 0.3 cm 0 lfigpadd []
xmark -0.3 cm
xmark ysize 0 0.3 cm lfigpadd ] lfigdopath
pop pop
grestore
240 fnt83 0 211(x)m
240 fnt82 166 209(+)m 354(2)s 468 0 0 0 240 288 60 0 188 LoutGr2
0 0 moveto xsize 0 lineto stroke
grestore

grestore
181 3(5)m 
grestore

grestore
end end restore
grestore
0 3924(with)m
482(one)s 884(ro)s 6(w)k 1304(mark)s 1856(protruding)s
2919(from)s 3443(the)s 3791(bar)s 4156(as)s 4406(sho)s 6(wn.)k
5190(Compare)s 6123(this)s 6519(with)s 220 fnt35 480 3423(@OneRo)m 3(w {  |0.5r)k -8(t  Slope @F)k 6(ont x + 2  //1p  @HLine  //1p  |0.5r)k -8(t  5 })k
240 fnt82 0 2927(where)m 640(the)s 988(mark)s 1540(protrudes)s
2494(from)s 3018(the)s 3366(numerator:)s 468 371 0 263 240 288 60 480 1948 LoutGr2
grestore save gsave 200 dict begin lfigdict begin
grestore
468 371 0 263 240 288 60 0 0 LoutGr2
/lfiglightgrey [ lfigbox ] gsave lfigpaintpath grestore
0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore
468 371 0 263 240 288 60 0 0 LoutGr2

0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigdashed [ -0.3 cm ymark
xsize ymark 0.3 cm 0 lfigpadd []
xmark -0.3 cm
xmark ysize 0 0.3 cm lfigpadd ] lfigdopath
pop pop
grestore
240 fnt83 0 211(x)m
240 fnt82 166 209(+)m 354(2)s 468 0 0 0 240 288 60 0 188 LoutGr2
0 0 moveto xsize 0 lineto stroke
grestore

grestore
181 3(5)m 
grestore

grestore
end end restore
grestore
220 fnt35
0 1494(@OneCol)m 240 fnt82 1016 1497(has)m 1391(the)s 1744(same)s
2296(ef)s 6(fect)k 2897(on)s 3198(columns)s 4065(as)s
220 fnt35 4320 1494(@OneRo)m 3(w)k 240 fnt82 5456 1497(does)m
5951(on)s 6252(ro)s 6(ws,)k 6823(with)s 7310(the)s
7663(symbols)s 220 fnt35 8517 1494(^|)m 240 fnt82 8722 1497(and)m
220 fnt35 0 1206(^||)m 240 fnt82 257 1209(\(or)m 220 fnt35
595 1206(^&)m 240 fnt82 840 1209(\))m 968(determining)s 2176(which)s
2818(mark)s 3370(is)s 3580(chosen.)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 48 54
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(48)m 240 fnt83 6081 13843(Chapter)m 6931(3.)s
7205(Pr)s 8(ede\207ned)k 8300(symbols)s 240 fnt84 0 13203(3.11.)m
591(@W)s 4(ide)k 1411(and)s 1852(@High)s 240 fnt82
480 12726(The)m 220 fnt35 910 12723(@Wide)m 240 fnt82 1687 12726(symbol)m
2450(returns)s 3167(its)s 3446(right)s 3960(parameter)s 4977(modi\207ed)s
5888(to)s 6130(ha)s 4(v)k 3(e)k 6634(the)s
6985(width)s 7590(gi)s 6(v)k 3(en)k 8173(by)s
8470(its)s 8749(left)s 0 12438(parameter)m 9(,)k 1058(which)s
1707(must)s 2238(be)s 2527(a)s 2699(length)s 3361(\(Section)s
4220(3.2\))s 4655(whose)s 5329(unit)s 5768(of)s 6045(measurement)s
7386(is)s 220 fnt35 7602 12435(c)m 240 fnt82 7707 12438(,)m
220 fnt35 7821 12435(i)m 240 fnt82 7855 12438(,)m 220 fnt35
7968 12435(p)m 240 fnt82 8082 12438(,)m 220 fnt35 8196 12435(m)m
240 fnt82 8365 12438(,)m 220 fnt35 8478 12435(f)m 240 fnt82
8536 12438(,)m 220 fnt35 8650 12435(s)m 240 fnt82 8753 12438(,)m
8867(or)s 220 fnt35 0 12147(v)m 240 fnt82 109 12150(.)m
278(If)s 513(the)s 867(right)s 1383(parameter)s 2403(is)s
2618(not)s 2990(as)s 3245(wide)s 3772(as)s 4027(required,)s
4936(white)s 5528(space)s 6121(is)s 6336(added)s 6972(at)s
7209(the)s 7563(right;)s 8131(if)s 8354(it)s 8551(is)s
8767(too)s 0 11862(wide,)m 585(its)s 875(paragraphs)s 1988(are)s
2349(brok)s 2(en)k 3083(\(Section)s 3949(3.4\))s 4391(so)s
4670(that)s 5102(it)s 5308(\207ts.)s 5777(A)s 220 fnt35
6021 11859(@OneCol)m 240 fnt82 7046 11862(operation)m 8020(is)s 8244(included)s
0 11574(in)m 257(the)s 620(ef)s 6(fect)k 1231(of)s
220 fnt35 1517 11571(@Wide)m 240 fnt82 2231 11574(,)m 2353(since)s
2915(it)s 3122(does)s 3627(not)s 4008(mak)s 2(e)k
4595(sense)s 5184(for)s 5537(an)s 5835(object)s 6494(of)s
6780(\207x)s 3(ed)k 7329(width)s 7946(to)s 8200(ha)s 4(v)k 3(e)k
8716(tw)s 2(o)k 0 11286(column)m 775(marks.)s 552 10912(The)m
220 fnt35 993 10909(@High)m 240 fnt82 1725 10912(symbol)m 2498(similarly)s
3413(ensures)s 4194(that)s 4625(its)s 4914(result)s 5517(is)s
5740(of)s 6024(a)s 6203(gi)s 6(v)k 3(en)k
6796(height,)s 7514(by)s 7821(adding)s 8539(white)s 0 10624(space)m
573(at)s 790(the)s 1123(bottom.)s 1950(In)s 2191(this)s
2572(case)s 3024(it)s 3201(is)s 3396(an)s 3664(error)s
4172(for)s 4495(the)s 4828(right)s 5324(parameter)s 6323(to)s
6547(be)s 6814(too)s 7158(lar)s 4(ge.)k 7780(A)s
220 fnt35 7995 10621(@OneRo)m 3(w)k 240 fnt82 0 10336(operation)m
960(is)s 1170(included.)s 240 fnt84 0 9543(3.12.)m 591(@HShift)s
1550(and)s 1991(@VShift)s 240 fnt82 480 9111(The)m 220 fnt35
917 9108(@HShift)m 240 fnt82 1802 9111(symbol)m 2572(returns)s 3296(its)s
3582(right)s 4103(parameter)s 5127(with)s 5619(principal)s 6533(mark)s
7095(shifted)s 7813(as)s 8073(prescribed)s 0 8823(by)m 294(its)s
570(left)s 947(parameter:)s 220 fnt35 1124 8315(+)m 240 fnt83
1244 8320(length)m 220 fnt35 1897 8315(@HShift)m 240 fnt83 2772 8320(object)m
240 fnt82 3600 8318(Principal)m 4517(mark)s 5069(shifted)s 5777(to)s
6016(the)s 6364(right)s 6875(by)s 240 fnt83 7169 8320(length)m
240 fnt82 7762 8318(;)m 220 fnt35 1180 7810(-)m 240 fnt83
1244 7815(length)m 220 fnt35 1897 7810(@HShift)m 240 fnt83 2772 7815(object)m
240 fnt82 3600 7813(Principal)m 4517(mark)s 5069(shifted)s 5777(to)s
6016(the)s 6364(left)s 6741(by)s 240 fnt83 7035 7815(length)m
240 fnt82 7628 7813(;)m 240 fnt83 1244 7310(length)m 220 fnt35
1897 7305(@HShift)m 240 fnt83 2772 7310(object)m 240 fnt82 3600 7308(Principal)m
4512(mark)s 5058(shifted)s 5760(so)s 6020(as)s 6264(to)s
6497(lie)s 240 fnt83 6786 7310(length)m 240 fnt82 7433 7308(to)m
7666(the)s 8008(right)s 8513(of)s 8778(the)s 3600 7020(left)m
3977(edge)s 4485(of)s 240 fnt83 4756 7022(object)m 240 fnt82
5344 7020(;)m 0 6517(In)m 256(each)s 751(chase)s 220 fnt35
1338 6514(@HShift)m 240 fnt82 2213 6517(includes)m 3061(a)s 220 fnt35
3227 6514(@OneCol)m 240 fnt82 4239 6517(ef)m 6(fect.)k 480 6143(The)m
916(units)s 1440(of)s 1720(measurement)s 3062(of)s 240 fnt83
3342 6145(length)m 240 fnt82 4003 6143(may)m 4478(be)s 220 fnt35
4768 6140(c)m 240 fnt82 4873 6143(,)m 220 fnt35 4989 6140(i)m
240 fnt82 5023 6143(,)m 220 fnt35 5138 6140(p)m 240 fnt82
5252 6143(,)m 220 fnt35 5368 6140(m)m 240 fnt82 5537 6143(,)m
220 fnt35 5652 6140(f)m 240 fnt82 5710 6143(,)m 220 fnt35
5825 6140(s)m 240 fnt82 5928 6143(,)m 220 fnt35 6044 6140(v)m
240 fnt82 6153 6143(,)m 6268(or)s 220 fnt35 6536 6140(w)m
240 fnt82 6692 6143(.)m 6864(In)s 7129(the)s 7485(latter)s
8043(case,)s 220 fnt35 8569 6140(1w)m 240 fnt82 8916 6143(is)m
0 5855(tak)m 2(en)k 579(to)s 825(be)s 1113(the)s
1468(width)s 2076(of)s 2354(the)s 2708(right)s 3226(parameter)s 9(,)k
4285(so)s 4557(that,)s 5029(for)s 5373(e)s 3(xample,)k
220 fnt35 6294 5852(0.5w @HShift)m 240 fnt82 7699 5855(will)m 8132(centre)s
8778(the)s 0 5567(principal)m 904(column)s 1679(mark)s 2231(within)s
2899(the)s 3247(right)s 3758(parameter)s 13(.)k 548 5193(The)m
220 fnt35 984 5190(@VShift)m 240 fnt82 1855 5193(symbol)m 2624(is)s
2842(similar)s 3572(e)s 3(xcept)k 4261(that)s 4688(it)s
4888(applies)s 5624(v)s 3(ertically)k 6584(to)s 6832(the)s
7188(principal)s 8100(ro)s 6(w)k 8529(mark:)s 220 fnt35
0 4902(+)m 240 fnt83 120 4907(length)m 240 fnt82 771 4905(shifts)m
1337(it)s 1527(do)s 6(wn,)k 220 fnt35 2159 4902(-)m
240 fnt83 2223 4907(length)m 240 fnt82 2874 4905(shifts)m 3440(it)s
3629(up,)s 3974(and)s 240 fnt83 4376 4907(length)m 240 fnt82
5027 4905(shifts)m 5593(it)s 5783(to)s 240 fnt83 6019 4907(length)m
240 fnt82 6670 4905(belo)m 6(w)k 7301(the)s 7647(top)s
8004(edge)s 8510(of)s 8778(the)s 0 4617(object.)m 748(W)s 9(ith)k
220 fnt35 1274 4614(@VShift)m 240 fnt82 2077 4617(,)m 220 fnt35
2184 4614(1w)m 240 fnt82 2522 4617(is)m 2732(tak)s 2(en)k
3305(to)s 3544(be)s 3826(the)s 4174(height)s 4832(of)s
5103(the)s 5451(right)s 5962(parameter)s 13(.)k 240 fnt84
0 3824(3.13.)m 591(@HExpand)s 1854(and)s 2295(@VExpand)s 240 fnt82
558 3347(The)m 220 fnt35 1004 3344(@HExpand)m 240 fnt82 2195 3347(symbol)m
2973(causes)s 3666(its)s 3961(right)s 4490(parameter)s 5522(to)s
5779(be)s 6079(as)s 6348(wide)s 6887(as)s 7155(it)s
7365(possibly)s 8235(could)s 8844(be)s 0 3059(without)m 784(violating)s
1679(a)s 220 fnt35 1837 3056(@Wide)m 240 fnt82 2603 3059(symbol)m
3355(or)s 3606(intruding)s 4528(into)s 4945(the)s 5285(space)s
5864(occupied)s 6778(by)s 7064(neighbouring)s 8386(g)s 1(aps)k
8867(or)s 0 2771(objects.)m 841(The)s 220 fnt35 1269 2768(@VExpand)m
240 fnt82 2430 2771(symbol)m 3190(is)s 3400(similar)s 9(,)k
4160(b)s 4(ut)k 4522(it)s 4714(af)s 6(fects)k
5394(height.)s 6156(F)s 3(or)k 6545(e)s 3(xample,)k
7459(in)s 7702(the)s 8050(object)s 220 fnt35 480 2270(8i @Wide 11i @High {)m
480 1982(    //1i  ||1i @HExpand @VExpand x ||1i)m 480 1694(    //1i)m 480 1406(})m 240 fnt82 0 912(object)m
220 fnt35 655 909(x)m 240 fnt82 834 912(could)m 1435(ha)s 4(v)k 3(e)k
1947(an)s 3(y)k 2356(size)s 2794(up)s 3098(to)s
3348(six)s 3694(inches)s 4367(wide)s 4899(by)s 5204(nine)s
5683(inches)s 6357(high,)s 6901(so)s 7178(the)s 220 fnt35
7537 909(@HExpand)m 240 fnt82 8722 912(and)m 220 fnt35 0 621(@VExpand)m
240 fnt82 1166 624(symbols)m 2021(cause)s 2614(it)s 2812(to)s
3057(ha)s 4(v)k 3(e)k 3564(e)s 3(xactly)k
4311(this)s 4713(size.)s 5254(This)s 5736(is)s 5952(important,)s
6994(for)s 7338(e)s 3(xample,)k 8258(if)s 220 fnt35
8481 621(x)m 240 fnt82 8655 624(con)m 8998(-)s 0 336(tains)m
220 fnt35 502 333(|1r)m -8(t)k 240 fnt82 879 336(or)m
220 fnt35 1138 333(/1r)m -8(t)k 240 fnt82 1459 336(;)m
1571(without)s 2362(the)s 2710(e)s 3(xpansion)k 3735(these)s
4282(might)s 4900(not)s 5266(mo)s 3(v)k 3(e)k
5848(as)s 6098(f)s 2(ar)k 6420(across)s 7068(or)s
7327(do)s 6(wn)k 7911(as)s 8161(e)s 3(xpected.)k

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 49 55
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(3.13.)m 574(@HExpand)s 1765(and)s 2191(@VExpand)s
240 fnt84 8832 13840(49)m 240 fnt82 480 13204(As)m 809(Section)s
1595(2.6)s 1961(e)s 3(xplains)k 2818(in)s 3074(detail,)s
3723(most)s 4260(objects)s 5001(are)s 5360(already)s 6130(as)s
6392(lar)s 4(ge)k 6933(as)s 7196(the)s 3(y)k
7671(possibly)s 8536(could)s 0 12916(be.)m 379(Consequently)s 1738(these)s
2273(symbols)s 3110(are)s 3446(needed)s 4170(only)s 4638(rarely)s 15(.)k
220 fnt35 5331 12913(@HExpand)m 240 fnt82 6493 12916(includes)m 7329(a)s
220 fnt35 7483 12913(@OneCol)m 240 fnt82 8483 12916(ef)m 6(fect,)k
0 12628(and)m 220 fnt35 404 12625(@VExpand)m 240 fnt82 1565 12628(includes)m
2413(a)s 220 fnt35 2579 12625(@OneRo)m 3(w)k 240 fnt82
3710 12628(ef)m 6(fect.)k 240 fnt84 0 11839(3.14.)m 591(@HContract)s
1976(and)s 2417(@VContract)s 240 fnt82 542 11407(The)m 220 fnt35
972 11404(@HContr)m 2(act)k 240 fnt82 2239 11407(symbol)m 3001(reduces)s
3784(the)s 4135(size)s 4564(of)s 4837(its)s 5116(right)s
5629(parameter)s 6645(to)s 6887(a)s 7055(reasonable)s 8136(minimum)s
0 11119(\(after)m 575(paragraph)s 1588(breaking\).)s 2668(F)s 3(or)k
3057(e)s 3(xample,)k 220 fnt35 480 10618(5i @Wide @HContr)m 2(act { A |1r)k -8(t B })k
240 fnt82 0 10124(has)m 370(result)s 480 9673(A)m 650(B)s
0 9222(in)m 233(which)s 864(the)s 1201(B)s 1393(is)s
1592(much)s 2170(closer)s 2789(to)s 3017(the)s 3354(A)s
3574(than)s 4032(it)s 4213(w)s 2(ould)k 4857(otherwise)s
5831(ha)s 4(v)k 3(e)k 6321(been.)s 220 fnt35
6926 9219(@VContr)m 2(act)k 240 fnt82 8167 9222(is)m 8366(similar)s 9(,)k
0 8934(b)m 4(ut)k 362(in)s 605(a)s 771(v)s 3(ertical)k
1538(direction.)s 2551(See)s 2952(Section)s 3726(2.6)s 4079(for)s
4417(a)s 4583(more)s 5130(e)s 3(xtensi)k 6(v)k 3(e)k
6077(discussion.)s 240 fnt84 0 8190(3.15.)m 591(@HLimited)s 1864(and)s
2305(@VLimited)s 240 fnt82 579 7758(The)m 220 fnt35 1047 7755(@HLimited)m
240 fnt82 2221 7758(symbol)m 3021(limits)s 3654(the)s 4042(width)s
4684(a)s 4(v)k 6(ailable)k 5631(to)s 5910(recursi)s 6(v)k 3(e)k
6871(and)s 7315(recepti)s 6(v)k 3(e)k 8277(symbols)s
0 7470(within)m 692(its)s 993(right)s 1529(parameter)s 2567(to)s
2831(whate)s 6(v)k 3(er)k 3783(is)s 4018(a)s 4(v)k 6(ailable)k
4950(without)s 5766(increasing)s 6826(the)s 7198(e)s 3(xisting)k
8030(size)s 8482(of)s 8778(the)s 220 fnt35 0 7179(@HLimited)m
240 fnt82 1138 7182(object.)m 1890(So)s 2199(this)s 2599(symbol)s
3362(acts)s 3788(lik)s 2(e)k 220 fnt35 4204 7179(@Wide)m
240 fnt82 4981 7182(with)m 5467(respect)s 6206(to)s 6449(limiting)s
7261(the)s 7613(space)s 8204(occupied)s 0 6894(by)m 315(recursi)s 6(v)k 3(e)k
1258(and)s 1684(recepti)s 6(v)k 3(e)k 2627(symbols,)s
3553(e)s 3(xcept)k 4256(that)s 4695(instead)s 5451(of)s
5744(enforcing)s 6734(a)s 6921(\207x)s 3(ed)k 7477(constant)s
8355(limit,)s 8934(it)s 0 6606(enforces)m 860(whate)s 6(v)k 3(er)k
1787(size)s 2214(is)s 2424(already)s 3181(in)s 3424(place.)s
480 6232(The)m 220 fnt35 904 6229(@VLimited)m 240 fnt82 2022 6232(symbol)m
2778(is)s 2983(e)s 3(xactly)k 3719(the)s 4063(same,)s
4656(e)s 3(xcept)k 5332(that)s 5746(it)s 5933(applies)s
6656(v)s 3(ertically)k 7604(rather)s 8215(than)s 8679(hor)s
8998(-)s 0 5944(izontally)m 15(.)k 240 fnt84 0 5151(3.16.)m
591(@HAdjust,)s 1804(@V)s 32(Adjust,)k 2972(and)s 3413(@P)s 17(Adjust)k
240 fnt82 551 4675(These)m 1189(symbols)s 2050(spread)s 2743(their)s
3252(right)s 3774(parameter)s 4800(apart)s 5348(until)s 5852(it)s
6056(occupies)s 6955(all)s 7260(the)s 7619(space)s 8218(a)s 4(v)k 6(ailable)k
0 4387(to)m 268(it;)s 220 fnt35 602 4384(@HAdjust)m 240 fnt82
1678 4387(adjusts)m 220 fnt35 2422 4384(|)m 240 fnt82 2549 4387(sequences,)m
220 fnt35 3656 4384(@V)m 17(Adjust)k 240 fnt82 4702 4387(adjusts)m
220 fnt35 5447 4384(/)m 240 fnt82 5601 4387(sequences,)m 6707(and)s
220 fnt35 7141 4384(@P)m 26(Adjust)k 240 fnt82 8179 4387(adjusts)m
220 fnt35 8924 4384(&)m 240 fnt82 0 4099(sequences.)m 1134(F)s 3(or)k
1523(e)s 3(xample,)k 220 fnt35 480 3598(4i @Wide @P)m 26(Adjust { 1 2 3 4 5 6 7 8 })k
240 fnt82 0 3101(has)m 370(result)s 480 2646(1)m 1274(2)s
2088(3)s 2892(4)s 3706(5)s 4512(6)s 5325(7)s
6133(8)s 0 2192(More)m 571(precisely)s 15(,)k 1521(the)s
1865(widening)s 2806(is)s 3012(ef)s 6(fected)k 3828(by)s
4119(enlar)s 4(ging)k 5067(the)s 5411(size)s 5835(of)s
6102(each)s 6593(component)s 7714(e)s 3(xcept)k 8391(the)s
8735(last)s 0 1904(by)m 284(an)s 556(equal)s 1118(fraction)s
1907(of)s 2167(the)s 2504(space)s 3080(that)s 3488(w)s 2(ould)k
4132(otherwise)s 5106(be)s 5377(left)s 5744(o)s 3(v)k 3(er)k
6212(\211)s 6381(just)s 6775(the)s 7113(opposite)s 7969(of)s
8229(the)s 8566(usual)s 0 1616(procedure,)m 1063(which)s 1705(assigns)s
2447(all)s 2740(the)s 3088(lefto)s 3(v)k 3(er)k
3884(space)s 4471(to)s 4710(the)s 5058(last)s 5449(component)s
6573(\(Section)s 7426(2.6\).)s 220 fnt35 480 1239(@P)m 26(Adjust)k
240 fnt82 1497 1242(is)m 1716(used)s 2222(by)s 2525(the)s
220 fnt35 2883 1239(adjust)m 240 fnt82 3533 1242(and)m 220 fnt35
3946 1239(outdent)m 240 fnt82 4743 1242(options)m 5508(of)s 5789(the)s
220 fnt35 6146 1239(@Break)m 240 fnt82 7011 1242(symbol)m 7780(\(Section)s
8643(3.4\).)s 0 954(It)m 213(has)s 591(a)s 765(slight)s
1364(peculiarity:)s 2559(it)s 2759(will)s 3193(not)s 3567(enlar)s 4(ge)k
4330(components)s 5546(when)s 6130(the)s 6486(immediately)s 7742(follo)s 6(wing)k
8728(g)s 1(ap)k 0 666(has)m 398(width)s 1029(0.)s
1342(This)s 1847(is)s 2086(to)s 2354(pre)s 6(v)k 3(ent)k
3151(space)s 3767(from)s 4320(appearing)s 5345(\(for)s 5791(e)s 3(xample\))k
6755(between)s 7638(a)s 7833(w)s 2(ord)k 8410(and)s
8843(an)s 0 378(immediately)m 1248(follo)s 6(wing)k 2225(comma.)s
3093(The)s 3521(other)s 4072(tw)s 2(o)k 4482(symbols)s
5331(will)s 5757(enlar)s 4(ge)k 6512(such)s 7008(components.)s

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 50 56
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(50)m 240 fnt83 6081 13843(Chapter)m 6931(3.)s
7205(Pr)s 8(ede\207ned)k 8300(symbols)s 240 fnt84 0 13203(3.17.)m
591(@HScale)s 1587(and)s 2028(@VScale)s 220 fnt35 538 12768(@HScale)m
240 fnt82 1516 12771(causes)m 2189(its)s 2462(right)s 2970(parameter)s
3982(to)s 4218(e)s 3(xpand)k 4962(to)s 5199(\207ll)s
5516(the)s 5861(space)s 6446(a)s 4(v)k 6(ailable,)k
7402(by)s 7693(geometricallly)s 0 12483(scaling)m 730(it:)s 220 fnt35
480 11982(4i @Wide @HScale { 1 2 3 4 5 6 7 8 })m 240 fnt82 0 11488(has)m 370(result)s gsave
480 0 translate
4.4965 1.0000 scale
0 11033(1)m
155(2)s 329(3)s 493(4)s 667(5)s 833(6)s
1006(7)s 1174(8)s 
grestore
0 10579(and)m 220 fnt35 480 10128(0.5i @Wide @HScale { 1 2 3 4 5 6 7 8 })m
240 fnt82 0 9634(has)m 370(result)s gsave
480 0 translate
0.5621 1.0000 scale
0 9179(1)m 155(2)s
329(3)s 493(4)s 667(5)s 833(6)s 1006(7)s
1174(8)s 
grestore
220 fnt35 0 8722(@HScale)m 240 fnt82 980 8725(\207rst)m
1409(applies)s 220 fnt35 2136 8722(@HContr)m 2(act)k 240 fnt82
3398 8725(to)m 3635(its)s 3910(parameter)s 9(,)k 4960(then)s
5427(horizontally)s 6635(scales)s 7254(it)s 7444(to)s 7682(the)s
8028(actual)s 8651(size.)s 0 8437(The)m 433(principal)s 1342(mark)s
1899(of)s 2175(the)s 2528(right)s 3044(parameter)s 4063(has)s
4438(no)s 4736(ef)s 6(fect)k 5337(on)s 5639(the)s
5992(result;)s 6639(the)s 6992(parameter)s 8011(is)s 8226(scaled)s
8887(to)s 0 8149(the)m 365(actual)s 1007(size)s 1451(and)s
1872(positioned)s 2944(to)s 3200(\207ll)s 3537(the)s 3902(space)s
4506(a)s 4(v)k 6(ailable.)k 5539(\(T)s 19(aking)k
6347(account)s 7168(of)s 7456(alignment)s 8489(of)s 8778(the)s
0 7861(principal)m 904(mark)s 1456(only)s 1936(causes)s 2611(trouble)s
3344(in)s 3587(practice.\))s 220 fnt35 480 7484(@VScale)m 240 fnt82
1460 7487(is)m 1681(similar)s 9(,)k 2452(b)s 4(ut)k
2825(in)s 3080(a)s 3257(v)s 3(ertical)k 4035(direction.)s
220 fnt35 5059 7484(@HScale)m 240 fnt82 6051 7487(and)m 220 fnt35
6467 7484(@VScale)m 240 fnt82 7447 7487(each)m 7953(ha)s 4(v)k 3(e)k
8465(both)s 8960(a)s 220 fnt35 0 7196(@OneCol)m 240 fnt82
1012 7199(and)m 1416(a)s 220 fnt35 1582 7196(@OneRo)m 3(w)k
240 fnt82 2713 7199(ef)m 6(fect.)k 240 fnt84 0 6451(3.18.)m
591(@HCo)s 2(v)k 2(er)k 1679(and)s 2120(@VCo)s 2(v)k 2(er)k
240 fnt82 529 6019(The)m 220 fnt35 946 6016(@VCo)m 3(v)k 5(er)k
240 fnt82 1941 6019(symbol)m 2690(v)s 3(ertically)k 3631(scales)s
4241(its)s 4506(right)s 5006(parameter)s 6009(so)s 6264(that)s
6671(it)s 6852(co)s 3(v)k 3(ers)k 7510(e)s 6(v)k 3(ery)k
8075(object)s 8708(that)s 0 5731(shares)m 648(its)s 924(ro)s 6(w)k
1344(mark.)s 1999(F)s 3(or)k 2388(e)s 3(xample,)k
220 fnt35 480 5230(@VCo)m 3(v)k 5(er \( 45d @Rotate Hello @VCo)k 3(v)k 5(er \))k
240 fnt82 0 4734(produces)m 748 843 0 396 240 288 60 480 3551 LoutGr2
grestore save gsave 200 dict begin lfigdict begin
grestore
748 843 0 396 240 288 60 0 0 LoutGr2

0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigdashed [ -0.3 cm ymark
xsize ymark 0.3 cm 0 lfigpadd ] lfigdopath
pop pop
grestore
gsave
0 396 translate
1.0000 4.1328 scale
0 -54(\()m 
grestore
gsave
210 396 translate
45.0000 rotate
0 -54(Hello)m 
grestore
gsave
680 396 translate
1.0000 4.1328 scale
0 -54(\))m

grestore

grestore
end end restore
grestore
0 3100(The)m 428(ro)s 6(w)k 848(mark)s 1400(has)s
1770(been)s 2279(added)s 2909(to)s 3148(sho)s 6(w)k
3702(clearly)s 4405(where)s 5045(it)s 5237(lies.)s 5732(This)s
6208(should)s 6905(be)s 7187(compared)s 8188(with)s 220 fnt35
480 2599(@VScale \( 45d @Rotate Hello @VScale \))m 240 fnt82 0 2103(which)m 642(produces)s 748 486 0 39 240 288 60 480 1277 LoutGr2
grestore save gsave 200 dict begin lfigdict begin
grestore
748 486 0 39 240 288 60 0 0 LoutGr2

0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigdashed [ -0.3 cm ymark
xsize ymark 0.3 cm 0 lfigpadd ] lfigdopath
pop pop
grestore
gsave
0 229 translate
1.0000 2.3824 scale
0 -54(\()m

grestore
gsave
210 39 translate
45.0000 rotate
0 -54(Hello)m 
grestore
gsave
0 229 translate
1.0000 2.3824 scale
680 -54(\))m 
grestore

grestore
end end restore
grestore
0 826(Scaling)m 786(abandons)s 1759(mark)s
2328(alignment)s 3361(and)s 3782(so)s 4065(is)s 4292(able)s
4763(to)s 5018(e)s 3(xactly)k 5776(co)s 3(v)k 3(er)k
6378(the)s 6743(rest)s 7164(of)s 7452(the)s 7817(ro)s 6(w)k 15(,)k
8292(whereas)s 0 538(co)m 3(v)k 3(ering)k 896(preserv)s 3(es)k
1859(mark)s 2424(alignment)s 3453(and)s 3869(so)s 4148(is)s
4371(obliged)s 5160(in)s 5415(general)s 6186(to)s 6438(more)s
6998(than)s 7479(co)s 3(v)k 3(er)k 8077(the)s
8438(rest)s 8855(of)s 0 250(the)m 348(ro)s 6(w)k 15(.)k

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 51 57
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(3.18.)m 574(@HCo)s 2(ver)k 1615(and)s
2041(@VCo)s 2(ver)k 240 fnt84 8839 13840(51)m 240 fnt82
480 13250(If)m 700(the)s 1038(parameter)s 2042(of)s 220 fnt35
2303 13247(@VCo)m 3(v)k 5(er)k 240 fnt82 3299 13250(has)m
3658(zero)s 4112(v)s 3(ertical)k 4869(size,)s 5337(this)s
5723(is)s 5923(tak)s 2(en)k 6485(to)s 6714(mean)s
7279(that)s 7687(co)s 3(v)k 3(ering)k 8561(is)s
8760(not)s 0 12962(required)m 863(after)s 1368(all)s 1670(and)s
2083(the)s 220 fnt35 2441 12959(@VCo)m 3(v)k 5(er)k
240 fnt82 3456 12962(is)m 3675(silently)s 4441(ignored.)s 5345(If)s
5585(ho)s 6(we)k 6(v)k 3(er)k 6463(the)s
6820(parameter)s 7843(has)s 8223(non-zero)s 0 12674(size)m 434(abo)s 3(v)k 3(e)k
1064(the)s 1420(mark)s 1980(b)s 4(ut)k 2350(zero)s
2822(size)s 3256(belo)s 6(w)k 15(,)k 3935(or)s
4202(vice)s 4664(v)s 3(ersa,)k 5280(this)s 5684(is)s
5901(tak)s 2(en)k 6482(to)s 6729(be)s 7019(an)s
7310(error)s 7841(since)s 8396(scaling)s 0 12386(cannot)m 698(mak)s 2(e)k
1270(the)s 1618(parameter)s 2632(co)s 3(v)k 3(er)k
3217(the)s 3565(rest)s 3969(of)s 4240(the)s 4588(ro)s 6(w)k 15(.)k
220 fnt35 480 12009(@HCo)m 3(v)k 5(er)k 240 fnt82
1505 12012(is)m 1722(similar)s 9(,)k 2489(horizontally)s 3705(co)s 3(v)k 3(ering)k
4596(all)s 4896(objects)s 5631(that)s 6056(share)s 6623(its)s
6906(column)s 7688(mark.)s 8350(Neither)s 0 11724(symbol)m 753(w)s 2(orks)k
1379(well)s 1837(near)s 2300(g)s 1(alle)k 3(y)k
2926(tar)s 4(gets,)k 3658(because)s 4463(the)s 4803(scale)s
5328(f)s 2(actor)k 5934(to)s 6166(apply)s 6744(is)s
6946(determined)s 8071(before)s 8729(an)s 3(y)k 0 11436(g)m 1(alle)k 3(y)k
634(\210ushing)s 1459(tak)s 2(es)k 1999(place.)s 240 fnt84
0 10643(3.19.)m 591(@StartHSpan,@StartVSpan,)s 3642(@StartHVSpan,)s 5374(@HSpan,)s 6416(and)s
6857(@VSpan)s 240 fnt82 556 10166(These)m 1199(symbols)s 2065(w)s 2(ork)k
2632(together)s 3492(to)s 3747(produce)s 4591(spanning)s 5525(columns)s
6403(and)s 6824(ro)s 6(ws)k 7350(in)s 7610(a)s
7792(more)s 8356(\210e)s 3(xible)k 0 9878(w)m 2(ay)k
451(than)s 920(is)s 1130(possible)s 1970(in)s 2213(practice)s
3024(with)s 220 fnt35 3506 9875(//)m 240 fnt82 3691 9878(and)m
220 fnt35 4095 9875(||)m 240 fnt82 4189 9878(.)m 4353(An)s
4703(object)s 220 fnt35 480 9377(@Star)m -8(tHSpan object)k 240 fnt82
0 8880(causes)m 220 fnt35 682 8877(object)m 240 fnt82 1330 8880(to)m
1577(be)s 1866(printed,)s 2658(b)s 4(ut)k 3027(occup)s 2(ying)k
4084(all)s 4384(the)s 4740(horizontal)s 5771(space)s 6366(to)s
6612(the)s 6968(right)s 7486(on)s 7791(the)s 8146(ro)s 6(w)k
8574(mark)s 0 8592(on)m 289(which)s 922(it)s 1105(lies)s
1478(up)s 1762(to)s 1992(and)s 2387(including)s 3335(the)s
3675(rightmost)s 220 fnt35 4642 8589(@HSpan)m 240 fnt82 5572 8592(symbol)m
6323(on)s 6611(that)s 7020(mark)s 7563(not)s 7920(preceded)s
8832(by)s 220 fnt35 0 8301(@Star)m -8(tHVSpan)k 240 fnt82
1496 8304(,)m 220 fnt35 1603 8301(@Star)m -8(tHSpan)k 240 fnt82
2953 8304(,)m 220 fnt35 3059 8301(@Star)m -8(tVSpan)k 240 fnt82
4397 8304(,)m 4503(or)s 220 fnt35 4761 8301(@VSpan)m 240 fnt82
5628 8304(.)m 5791(The)s 6218(column)s 6992(mark)s 7543(of)s
7813(this)s 8208(spanning)s 0 8016(object)m 644(is)s 854(not)s
1220(constrained)s 2380(to)s 2619(align)s 3154(with)s 3636(an)s 3(y)k
4033(of)s 4304(the)s 4652(column)s 5427(marks)s 6062(of)s
6333(the)s 6681(columns)s 7543(it)s 7735(spans.)s 480 7642(If)m
739(there)s 1301(is)s 1541(no)s 220 fnt35 1863 7639(@HSpan)m
240 fnt82 2831 7642(symbol)m 3621(an)s 3(ywhere)k 4633(to)s
4901(the)s 5279(right)s 5819(of)s 220 fnt35 6119 7639(@Star)m -8(tHSpan)k
240 fnt82 7469 7642(,)m 7606(then)s 8104(the)s 8482(object)s
0 7354(spans)m 585(only)s 1067(its)s 1345(o)s 6(wn)k
1811(column.)s 2695(This)s 3173(means)s 3837(that)s 4257(it)s
4451(occupies)s 5341(that)s 5761(column)s 6538(as)s 6790(usual)s
7352(b)s 4(ut)k 7716(its)s 7994(mark)s 8548(is)s
8760(not)s 0 7066(constrained)m 1160(to)s 1399(align)s 1934(with)s
2416(those)s 2977(of)s 3248(the)s 3596(other)s 4147(objects)s
4875(in)s 5118(the)s 5466(column.)s 480 6692(Similarly)m 15(,)k
1457(the)s 220 fnt35 1801 6689(@Star)m -8(tVSpan)k 240 fnt82
3196 6692(symbol)m 3952(causes)s 4624(its)s 4896(object)s 5537(to)s
5772(occup)s 2(y)k 6513(all)s 6802(the)s 7147(v)s 3(ertical)k
7910(space)s 8493(belo)s 6(w)k 0 6404(it)m 191(on)s
486(the)s 832(column)s 1605(mark)s 2155(on)s 2451(which)s
3091(it)s 3281(lies,)s 3717(do)s 6(wn)k 4299(to)s
4537(and)s 4939(including)s 5894(the)s 6240(bottommost)s 220 fnt35
7441 6401(@VSpan)m 240 fnt82 8366 6404(symbol)m 0 6116(on)m 294(that)s
708(mark)s 1256(not)s 1618(preceded)s 2535(by)s 2825(a)s
220 fnt35 2987 6113(@Star)m -8(tHVSpan)k 240 fnt82 4483 6116(,)m
220 fnt35 4586 6113(@Star)m -8(tHSpan)k 240 fnt82 5936 6116(,)m
220 fnt35 6039 6113(@Star)m -8(tVSpan)k 240 fnt82 7377 6116(,)m
7480(or)s 220 fnt35 7735 6113(@HSpan)m 240 fnt82 8614 6116(;)m
8722(and)s 0 5828(if)m 206(there)s 728(is)s 927(no)s
220 fnt35 1209 5825(@VSpan)m 240 fnt82 2125 5828(symbol)m 2874(an)s 3(ywhere)k
3846(belo)s 6(w)k 4468(it)s 4649(on)s 4935(that)s
5342(mark,)s 5929(then)s 6387(the)s 6724(object)s 7357(spans)s
7929(only)s 8398(its)s 8662(o)s 6(wn)k 0 5540(ro)m 6(w)k 15(,)k
458(occup)s 2(ying)k 1507(its)s 1783(ro)s 6(w)k
2203(b)s 4(ut)k 2565(with)s 3047(its)s 3323(mark)s
3875(not)s 4241(constrained)s 5401(to)s 5640(align)s 6175(with)s
6657(the)s 7005(ro)s 6(w)k 7425(mark.)s 480 5166(The)m
220 fnt35 949 5163(@Star)m -8(tHVSpan)k 240 fnt82 2547 5166(symbol)m
3349(combines)s 4359(the)s 4748(ef)s 6(fects)k 5470(of)s
220 fnt35 5783 5163(@Star)m -8(tHSpan)k 240 fnt82 7235 5166(and)m
220 fnt35 7681 5163(@Star)m -8(tVSpan)k 240 fnt82 9019 5166(,)m
0 4878(allo)m 6(wing)k 884(an)s 1167(object)s 1811(to)s
2050(span)s 2546(both)s 3029(columns)s 3891(and)s 4295(ro)s 6(ws)k
4805(simultaneously)s 15(.)k 6402(F)s 3(or)k 6791(e)s 3(xample,)k
7705(in)s 220 fnt35 480 4377(@Star)m -8(tHVSpan x  |  | @HSpan)k 480 4089(/)m
480 3801(@VSpan   |  |)m 240 fnt82 0 3305(the)m 378(object)s 220 fnt35
1052 3302(x)m 240 fnt82 1250 3305(will)m 1706(occup)s 2(y)k
2481(a)s 2677(rectangular)s 3841(area)s 4328(spanning)s 5276(three)s
5840(columns,)s 6788(tw)s 2(o)k 7228(ro)s 6(ws,)k
7824(and)s 8258(the)s 8637(g)s 1(aps)k 0 3017(between)m
854(them.)s 480 2643(The)m 908(objects)s 1636(lying)s 2182(in)s
2425(the)s 2774(re)s 3(gion)k 3439(spanned)s 4283(should)s
4980(all)s 5274(be)s 5556(empty)s 15(,)k 6247(or)s
6506(the)s 220 fnt35 6855 2640(@HSpan)m 240 fnt82 7794 2643(and)m
220 fnt35 8199 2640(@VSpan)m 240 fnt82 0 2355(symbols)m 865(can)s
1271(be)s 1570(used)s 2084(to)s 2340(document)s 3360(the)s
3725(spanning)s 4660(that)s 5095(is)s 5322(occurring.)s 6418(At)s
6734(present)s 7501(there)s 8051(may)s 8534(be)s 8833(no)s
0 2067(g)m 1(alle)k 3(y)k 639(tar)s 4(gets)k
1328(or)s 1593(recursi)s 6(v)k 3(e)k 2521(symbols)s
3376(within)s 4050(the)s 4404(right)s 4921(parameter)s 5941(of)s
220 fnt35 6218 2064(@Star)m -8(tHSpan)k 240 fnt82 7568 2067(,)m
220 fnt35 7681 2064(@Star)m -8(tVSpan)k 240 fnt82 9019 2067(,)m
0 1779(or)m 220 fnt35 246 1776(@Star)m -8(tHVSpan)k 240 fnt82
1742 1779(.)m 1892(Ho)s 6(we)k 6(v)k 3(er)k 9(,)k
2838(the)s 3172(right)s 3670(parameter)s 4670(may)s 5122(otherwise)s
6093(be)s 6362(an)s 6631(arbitrary)s 7492(object,)s 8169(including)s
0 1491(paragraphs)m 1100(of)s 1371(te)s 3(xt)k 1786(that)s
2204(require)s 2936(breaking.)s 480 1117(If)m 722(the)s 1082(right)s
1605(parameter)s 2631(of)s 220 fnt35 2914 1114(@Star)m -8(tHSpan)k
240 fnt82 4264 1117(,)m 220 fnt35 4383 1114(@Star)m -8(tVSpan)k
240 fnt82 5721 1117(,)m 5840(or)s 220 fnt35 6111 1114(@Star)m -8(tHVSpan)k
240 fnt82 7679 1117(occupies)m 8579(more)s 0 829(horizontal)m 1022(or)s
1279(v)s 3(ertical)k 2044(space)s 2629(than)s 3095(all)s
3386(of)s 3655(the)s 4001(spanned)s 4842(columns)s 5701(or)s
5958(ro)s 6(ws)k 6466(combined)s 7466(require,)s 8247(the)s
8592(e)s 3(xtra)k 0 541(space)m 601(goes)s 1106(into)s
1546(the)s 1908(last)s 2314(spanned)s 3172(column)s 3962(or)s
4235(ro)s 6(w)k 15(.)k 4765(Ov)s 3(erlapping)k
6026(spanning)s 6958(ro)s 6(ws)k 7483(and)s 7902(columns)s
8779(are)s 0 253(permitted.)m 1081(Gaps)s 1626(spanned)s 2471(by)s
2767(span)s 3266(objects)s 3996(are)s 4345(unbreakable)s 5572(\(their)s
220 fnt35 6151 250(u)m 240 fnt82 6321 253(indicator)m 7232(is)s
7444(set)s 7772(automatically)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 52 58
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(52)m 240 fnt83 6081 13843(Chapter)m 6931(3.)s
7205(Pr)s 8(ede\207ned)k 8300(symbols)s 240 fnt82 0 13205(and)m
404(cannot)s 1102(be)s 1384(re)s 6(v)k 4(ok)k 2(ed\).)k
240 fnt84 0 12422(3.20.)m 591(@Scale)s 240 fnt82 588 11990(This)m
1112(symbol)s 1920(geometrically)s 3335(scales)s 4004(its)s 4328(right)s
4887(parameter)s 5949(by)s 6291(the)s 6687(scale)s 7268(f)s 2(actor)k
7930(gi)s 6(v)k 3(en)k 8558(in)s 8850(its)s
0 11702(left)m 377(parameter:)s 220 fnt35 480 11201(1.0 @Scale Hello  2.0 @Scale Hello  0.5 @Scale Hello)m 240 fnt82
0 10746(has)m 370(result)s gsave
480 10238 translate
1.0000 1.0000 scale
0 -54(Hello)m 
grestore
gsave
1124 10238 translate
2.0000 2.0000 scale
0 -54(Hello)m 
grestore
gsave
2292 10238 translate
0.5000 0.5000 scale
0 -54(Hello)m

grestore
0 9675(The)m 433(left)s 815(parameter)s 1834(can)s 2228(be)s
2515(tw)s 2(o)k 2930(scale)s 3468(f)s 2(actors,)k
4227(in)s 4475(which)s 5122(case)s 5594(the)s 5947(\207rst)s
6383(applies)s 7116(horizontally)s 15(,)k 8368(and)s 8778(the)s
0 9387(second)m 723(v)s 3(ertically:)k 220 fnt35 480 8886({0.5 2.0} @Scale Hello)m
240 fnt82 0 8392(has)m 370(result)s gsave
480 7884 translate
0.5000 2.0000 scale
0 -54(Hello)m 
grestore
0 7321(The)m
433(left)s 815(parameter)s 1834(may)s 2305(be)s 2592(empty)s 15(,)k
3287(in)s 3535(which)s 4182(case)s 4654(Lout)s 5171(will)s
5602(scale)s 6140(the)s 6493(object)s 7142(by)s 7441(a)s
7612(common)s 8512(f)s 2(actor)k 0 7033(horizontally)m 1209(and)s
1613(v)s 3(ertically)k 2565(so)s 2831(as)s 3081(to)s
3320(occup)s 2(y)k 4064(all)s 4357(a)s 4(v)k 6(ailable)k
5265(horizontal)s 6289(space:)s 220 fnt35 480 6532({} @Scale { Hello w)m 2(or)k -3(ld })k
240 fnt82 0 6038(has)m 370(result)s gsave
0 4881 translate
7.9609 7.9609 scale
0 -54(Hello)m 583(w)s 2(orld)k

grestore
0 3977(The)m 433(right)s 949(parameter)s 1969(may)s 2440(be)s
2728(an)s 3(y)k 3130(object.)s 220 fnt35 3884 3974(@Scale)m
240 fnt82 4712 3977(has)m 5088(both)s 5576(a)s 220 fnt35
5748 3974(@OneCol)m 240 fnt82 6765 3977(and)m 7175(a)s 220 fnt35
7346 3974(@OneRo)m 3(w)k 240 fnt82 8483 3977(ef)m 6(fect,)k
0 3689(and)m 404(the)s 752(marks)s 1387(of)s 1658(the)s
2006(result)s 2596(coincide)s 3462(with)s 3944(the)s 4292(principal)s
5196(marks)s 5831(of)s 6102(the)s 6450(right)s 6961(parameter)s 13(.)k
240 fnt84 0 2896(3.21.)m 591(@Rotate)s 240 fnt82 542 2464(The)m
220 fnt35 973 2461(@Rotate)m 240 fnt82 1897 2464(symbol)m 2660(will)s
3089(rotate)s 3691(its)s 3970(right)s 4484(parameter)s 5501(counterclockwise)s
7233(an)s 7519(amount)s 8300(gi)s 6(v)k 3(en)k
8883(in)s 0 2176(de)m 3(grees)k 778(\(positi)s 6(v)k 3(e)k
1661(or)s 1920(ne)s 3(g)k 1(ati)k 6(v)k 3(e\))k
2845(by)s 3139(its)s 3415(left)s 3792(parameter)s 13(.)k
4897(F)s 3(or)k 5286(e)s 3(xample,)k 220 fnt35
480 1675(30d  @Rotate  { hello)m 8(, w)k 2(or)k -3(ld })k 240 fnt82
0 1181(has)m 370(result)s gsave
534 228 translate
30.0000 rotate
0 -54(hello,)m 583(w)s 2(orld)k

grestore

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 53 59
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
%%+ font Symbol
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13845(3.21.)m 574(@Rotate)s 240 fnt84 8833 13842(53)m
240 fnt82 0 13251(Before)m 710(rotating)s 1511(the)s 1863(object,)s
220 fnt35 2559 13248(@OneCol)m 240 fnt82 3576 13251(and)m 220 fnt35
3984 13248(@OneRo)m 3(w)k 240 fnt82 5120 13251(are)m 5471(applied)s
6238(to)s 6482(it.)s 6782(The)s 7215(result)s 7809(is)s
8024(a)s 8195(rectangle)s 0 12963(whose)m 668(marks)s 1303(pass)s
1766(through)s 2568(the)s 2916(point)s 3468(where)s 4108(the)s
4456(original)s 5254(marks)s 5889(crossed:)s 1587 283 340 113 240 288 60 480 11740 LoutGr2
grestore save gsave 200 dict begin lfigdict begin
grestore
1587 283 340 113 240 288 60 0 0 LoutGr2
/lfiglightgrey [ lfigbox ] gsave lfigpaintpath grestore
0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore
1587 283 340 113 240 288 60 0 0 LoutGr2

0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigdashed [ -0.3 cm ymark
xsize ymark 0.3 cm 0 lfigpadd []
xmark -0.3 cm
xmark ysize 0 0.3 cm lfigpadd ] lfigdopath
pop pop
grestore

grestore

grestore
end end restore
grestore
240 fnt78 2547 11793(\336)m
gsave
3256 11586 translate
240 fnt82 1515 1037 379 267 240 288 60 LoutGraphic
gsave
grestore save gsave 200 dict begin lfigdict begin
grestore
1515 1037 379 267 240 288 60 0 0 LoutGr2
/lfiglightgrey [ lfigbox ] gsave lfigpaintpath grestore
0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore
1515 1037 379 267 240 288 60 0 0 LoutGr2

0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigdashed [ -0.3 cm ymark
xsize ymark 0.3 cm 0 lfigpadd []
xmark -0.3 cm
xmark ysize 0 0.3 cm lfigpadd ] lfigdopath
pop pop
grestore
gsave
379 267 translate
30.0000 rotate
1587 283 340 113 240 288 60 -340 -113 LoutGr2
grestore save gsave 200 dict begin lfigdict begin
grestore
1587 283 340 113 240 288 60 0 0 LoutGr2
/lfiglightgrey [ lfigbox ] gsave lfigpaintpath grestore
0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore
1587 283 340 113 240 288 60 0 0 LoutGr2

0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigdashed [ -0.3 cm ymark
xsize ymark 0.3 cm 0 lfigpadd []
xmark -0.3 cm
xmark ysize 0 0.3 cm lfigpadd ] lfigdopath
pop pop
grestore

grestore

grestore
end end restore
grestore

grestore

grestore

grestore
end end restore
grestore
240 fnt82 0 11135(As)m 324(this)s 728(e)s 3(xample)k
1598(sho)s 6(ws,)k 2306(rotation)s 3113(by)s 3415(an)s
3705(angle)s 4287(other)s 4845(than)s 5322(a)s 5495(multiple)s
6355(of)s 6633(ninety)s 7293(de)s 3(grees)k 8079(introduces)s
0 10847(quite)m 534(a)s 700(lot)s 1012(of)s 1283(white)s
1870(space.)s 2565(So,)s 2925(for)s 3263(e)s 3(xample,)k
4177(the)s 4525(result)s 5115(of)s 220 fnt35 480 10339(-30d)m
968(@Rotate)s 1890(30d)s 2305(@Rotate)s 240 fnt83 3286 10344(object)m
240 fnt82 0 9841(is)m 210(a)s 376(much)s 965(lar)s 4(ger)k
1577(object)s 2221(than)s 240 fnt83 2690 9843(object)m 240 fnt82
3278 9841(,)m 3385(despite)s 4118(the)s 4466(f)s 2(act)k
4881(that)s 5299(one)s 5701(rotation)s 6501(cancels)s 7255(the)s
7603(other)s 13(.)k 480 9467(Rotation)m 1362(of)s 1634(objects)s
2363(containing)s 3427(recepti)s 6(v)k 3(e)k 4350(and)s
4755(recursi)s 6(v)k 3(e)k 5678(symbols)s 6528(is)s
6739(permitted,)s 7762(b)s 4(ut)k 8125(for)s 8464(angles)s
0 9179(other)m 553(than)s 1024(multiples)s 1967(of)s 2240(ninety)s
2894(de)s 3(grees)k 3675(it)s 3869(is)s 4082(best)s
4529(to)s 4770(mak)s 2(e)k 5345(the)s 5695(size)s
6125(of)s 6398(the)s 6748(rotated)s 7472(object)s 8118(clear)s
8644(with)s 220 fnt35 0 8888(@Wide)m 240 fnt82 774 8891(and)m
220 fnt35 1178 8888(@High)m 240 fnt82 1897 8891(symbols:)m 220 fnt35
480 8390(30d @Rotate 5i @Wide 4i @High)m 480 8102({   //1i @T)m 26(e)k 6(xtPlace)k 480 7814(    //1i)m
480 7526(})m 240 fnt82 0 7032(This)m 532(is)s 798(because)s
1667(for)s 2061(angles)s 2779(other)s 3386(than)s 3911(multiples)s
4907(of)s 5234(ninety)s 5942(de)s 3(grees)k 6776(the)s
7180(space)s 7823(a)s 4(v)k 6(ailable)k 8788(for)s
220 fnt35 0 6741(@T)m 26(e)k 6(xtPlace)k 240 fnt82
1218 6744(to)m 1457(occup)s 2(y)k 2201(is)s 2411(indeterminate,)s
3831(and)s 4235(the)s 4583(result)s 5173(is)s 5383(poor)s 13(.)k
240 fnt84 0 5951(3.22.)m 591(@Backgr)s 4(ound)k 240 fnt82
577 5474(The)m 220 fnt35 1042 5471(@Bac)m 4(kg)k 2(round)k
240 fnt82 2515 5474(symbol)m 3312(will)s 3775(print)s 4323(its)s
4637(left)s 5051(parameter)s 6102(in)s 6382(the)s 6767(background)s
7993(of)s 8301(its)s 8615(right)s 0 5186(parameter)m 13(.)k
1115(That)s 1624(is,)s 1901(the)s 2260(result)s 2860(has)s
3241(the)s 3600(size)s 4038(of)s 4319(the)s 4678(right)s
5200(parameter)s 9(,)k 6263(b)s 4(ut)k 6635(the)s
6994(left)s 7382(parameter)s 8407(will)s 8844(be)s 0 4898(printed)m
735(\207rst)s 1166(in)s 1409(the)s 1757(same)s 2304(space,)s
2942(with)s 3424(its)s 3700(marks)s 4335(aligned)s 5097(with)s
5579(the)s 5927(marks)s 6562(of)s 6833(the)s 7181(right)s
7692(parameter)s 13(.)k 240 fnt84 0 4105(3.23.)m 591(@K)s 6(er)k 3(nShrink)k
240 fnt82 541 3673(This)m 1018(symbol)s 1779(returns)s 2495(its)s
2772(right)s 3284(parameter)s 4300(unchanged)s 5397(in)s 5641(appearance)s
6774(b)s 4(ut)k 7137(occup)s 2(ying)k 8187(a)s
8355(slightly)s 0 3385(smaller)m 770(bounding)s 1737(box.)s 2269(The)s
2705(reduction)s 3673(is)s 3891(by)s 4193(the)s 4549(amount)s
5335(of)s 5614(k)s 2(erning)k 6404(that)s 6830(w)s 2(ould)k
7493(be)s 7783(applied)s 8553(if)s 8778(the)s 0 3097(right)m
511(parameter)s 1525(w)s 2(as)k 1946(immediately)s 240 fnt83
3194 3099(followed)m 240 fnt82 4084 3097(by)m 4378(the)s 4726(left)s
5103(parameter)s 13(.)k 6208(F)s 3(or)k 6597(e)s 3(xample,)k
220 fnt35 480 2596(.)m 13( @K)k 8(er)k -5(nShr)k -3(ink P)k
240 fnt82 0 2141(has)m 370(result)s 104 158 0 54 240 288 60 480 1693 LoutGr2
LoutBox   stroke
grestore
0 0(P)m 
grestore
0 1242(where)m
649(a)s 824(box)s 1249(of)s 1529(size)s 1965(0)s
2150(has)s 2529(been)s 3048(dra)s 3(wn)k 3709(around)s
4441(the)s 4799(result)s 5398(to)s 5647(mak)s 2(e)k
6228(its)s 6513(e)s 3(xtent)k 7164(clear)s 13(.)k
7787(Compare)s 8730(this)s 0 954(with)m 482(`P')s 806(alone:)s
130 158 0 54 240 288 60 480 505 LoutGr2
LoutBox   stroke
grestore
0 0(P)m 
grestore
0 54(in)m 243(which)s 885(the)s 1232(bounding)s
2191(box)s 2605(e)s 3(xactly)k 3346(encloses)s 4206(the)s
4554(object,)s 5245(or)s 5503(at)s 5735(least)s 6231(is)s
6441(supposed)s 7390(to.)s 7740(The)s 8167(bounding)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 54 60
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(54)m 240 fnt83 6081 13843(Chapter)m 6931(3.)s
7205(Pr)s 8(ede\207ned)k 8300(symbols)s 240 fnt82 0 13205(box)m
415(is)s 625(smaller)s 1387(on)s 1684(the)s 2032(right)s
2543(by)s 2837(the)s 3185(amount)s 3963(of)s 4234(k)s 2(erning)k
5016(that)s 5434(w)s 2(ould)k 6089(be)s 6371(applied)s
7133(between)s 7987(`P')s 8311(and)s 8715(`.)s 16('.)k
480 12831(The)m 916(only)s 1405(kno)s 6(wn)k 2117(use)s
2501(for)s 2847(this)s 3252(symbol)s 4020(is)s 4239(to)s
4486(produce)s 5322(tuck)s 2(ed-in)k 6288(subscripts)s 7304(in)s
7555(the)s 7912(Eq)s 8245(equation)s 0 12543(formatting)m 1061(package.)s
240 fnt84 0 11750(3.24.)m 591(@Common,)s 1872(@Rump,)s 2847(and)s
3288(@Meld)s 240 fnt82 540 11273(The)m 220 fnt35 968 11270(@Common)m
240 fnt82 2127 11273(and)m 220 fnt35 2531 11270(@Rump)m 240 fnt82
3391 11273(symbols)m 4240(compare)s 5119(tw)s 2(o)k 5529(paragraph)s
6542(objects:)s 220 fnt35 480 10772({ Aardv)m 5(ar)k -3(k, 29 } @Common { Aardv)k 5(ar)k -3(k, 359 })k
240 fnt82 0 10278(If)m 234(either)s 842(parameter)s 1860(is)s
2075(not)s 2446(a)s 2616(paragraph)s 3634(object,)s 4329(it)s
4526(is)s 4741(con)s 9(v)k 3(erted)k 5734(into)s
6164(a)s 6334(single-object)s 7633(paragraph)s 8651(\207rst.)s 0 9990(The)m
418(result)s 998(of)s 220 fnt35 1259 9987(@Common)m 240 fnt82
2408 9990(is)m 2608(the)s 2946(common)s 3831(pre\207x)s 4433(of)s
4694(the)s 5032(tw)s 2(o)k 5432(paragraphs;)s 6583(that)s
6991(is,)s 7247(those)s 7798(initial)s 8398(objects)s 0 9702(which)m
640(are)s 985(equal)s 1555(in)s 1796(the)s 2142(tw)s 2(o)k
2549(paragraphs.)s 3760(In)s 4013(the)s 4359(e)s 3(xample)k
5220(abo)s 3(v)k 3(e,)k 5890(the)s 6236(result)s
6824(is)s 220 fnt35 7031 9699(Aardv)m 5(ar)k -3(k,)k
240 fnt82 7949 9702(.)m 8111(The)s 8536(result)s 0 9414(of)m
220 fnt35 271 9411(@Rump)m 240 fnt82 1131 9414(is)m 1341(that)s
1759(part)s 2190(of)s 2461(the)s 2809(second)s 3532(object)s
4176(which)s 4818(is)s 5028(not)s 5394(included)s 6276(in)s
220 fnt35 6519 9411(@Common)m 240 fnt82 7618 9414(;)m 7730(the)s
8078(result)s 8668(of)s 220 fnt35 480 8913({ Aardv)m 5(ar)k -3(k, 29 } @Rump { Aardv)k 5(ar)k -3(k, 359 })k
240 fnt82 0 8417(is)m 220 fnt35 210 8414(359)m 240 fnt82
567 8417(.)m 480 8043(If)m 698(the)s 1034(tw)s 2(o)k
1431(objects)s 2147(ha)s 4(v)k 3(e)k 2635(nothing)s
3408(in)s 3638(common,)s 4571(the)s 4907(result)s 5484(of)s
220 fnt35 5743 8040(@Common)m 240 fnt82 6889 8043(will)m 7303(be)s
7572(an)s 7843(empty)s 8482(object)s 0 7755(and)m 400(the)s
744(result)s 1330(of)s 220 fnt35 1597 7752(@Rump)m 240 fnt82
2453 7755(will)m 2874(be)s 3152(the)s 3496(second)s 4215(object.)s
4959(If)s 5185(the)s 5528(tw)s 2(o)k 5934(objects)s
6658(are)s 7001(identical,)s 7926(the)s 8270(result)s 8855(of)s
220 fnt35 0 7464(@Common)m 240 fnt82 1159 7467(will)m 1585(be)s
1867(the)s 2215(\207rst)s 2646(object,)s 3337(and)s 3741(the)s
4089(result)s 4679(of)s 220 fnt35 4950 7464(@Rump)m 240 fnt82
5810 7467(will)m 6236(be)s 6518(an)s 6801(empty)s 7453(object.)s
480 7093(The)m 933(only)s 1438(kno)s 6(wn)k 2167(use)s
2567(for)s 220 fnt35 2930 7090(@Rump)m 240 fnt82 3815 7093(and)m
220 fnt35 4244 7090(@Common)m 240 fnt82 5428 7093(is)m 5663(to)s
5927(implement)s 7034(mer)s 4(ged)k 7830(inde)s 3(x)k
8439(entries)s 0 6805(\(Section)m 853(2.8\).)s 480 6431(The)m 220 fnt35
947 6428(@Meld)m 240 fnt82 1732 6431(symbol)m 2531(returns)s 3284(the)s
3671(minimum)s 4700(meld)s 5275(of)s 5585(tw)s 2(o)k
6034(paragraphs,)s 7229(that)s 7686(is)s 7935(the)s 8323(shortest)s
0 6143(paragraph)m 1013(that)s 1431(contains)s 2279(the)s 2627(tw)s 2(o)k
3037(original)s 3835(paragraphs)s 4935(as)s 5185(subsequences.)s 6652(F)s 3(or)k
7041(e)s 3(xample,)k 220 fnt35 480 5642({ Aardv)m 5(ar)k -3(k , 1 , 2 } @Meld { Aardv)k 5(ar)k -3(k , 2 , 3 })k
240 fnt82 0 5148(produces)m 480 4645(Aardv)m 6(ark)k 1438(,)s
1545(1)s 1700(,)s 1807(2)s 1981(,)s 2088(3)s
0 4161(The)m 455(result)s 1073(is)s 1310(related)s 2045(to)s
2312(the)s 2687(well-kno)s 6(wn)k 3909(longest)s 4688(common)s
5610(substring,)s 6622(in)s 6893(that)s 7338(the)s 7714(meld)s
8278(contains)s 0 3873(e)m 6(v)k 3(erything)k 1076(not)s
1451(in)s 1704(the)s 2061(lcs)s 2387(plus)s 2846(one)s
3257(cop)s 2(y)k 3785(of)s 4065(e)s 6(v)k 3(erything)k
5142(in)s 5394(the)s 5751(lcs.)s 6190(This)s 6675(function)s
7539(is)s 7758(well-suited)s 8887(to)s 0 3585(melding)m 830(comple)s 3(x)k
1698(inde)s 3(x)k 2274(entries.)s 3067(Note)s 3580(that)s
3990(there)s 4515(must)s 5033(be)s 5307(a)s 5465(non-zero)s
6360(amount)s 7131(of)s 7394(space)s 7973(before)s 8631(each)s
0 3297(comma,)m 805(otherwise)s 1783(each)s 2271(will)s 2690(become)s
3484(part)s 3908(of)s 4172(the)s 4513(preceding)s 5502(w)s 2(ord,)k
6093(and,)s 6539(since)s 220 fnt35 7079 3294(@Meld)m 240 fnt82
7818 3297(compares)m 8778(the)s 0 3009(tw)m 2(o)k 410(paragraphs)s
1510(w)s 2(ord)k 2058(by)s 2352(w)s 2(ord,)k
2949(the)s 3297(result)s 3887(will)s 4313(be)s 4595(dif)s 6(ferent)k
5470(and)s 5874(less)s 6283(satisf)s 2(actory)k 15(.)k
240 fnt84 0 2216(3.25.)m 591(@Insert)s 240 fnt82 541 1784(The)m
220 fnt35 970 1781(@Inser)m -8(t)k 240 fnt82 1808 1784(symbol)m
2569(inserts)s 3245(its)s 3522(left)s 3901(parameter)s 4916(at)s
5149(the)s 5499(be)s 3(ginning)k 6508(of)s 6781(the)s
7130(\207rst)s 7563(paragraph)s 8577(of)s 8850(its)s 0 1496(right)m
511(parameter:)s 220 fnt35 480 995(X @Inser)m -8(t { A B // C // D })k 240 fnt82
0 501(is)m 210(equi)s 6(v)k 6(alent)k 1254(to)s

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 55 61
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13845(3.25.)m 574(@Insert)s 240 fnt84 8833 13842(55)m
220 fnt35 480 13254({ XA B // C // D })m 240 fnt82 0 12760(Notice)m 707(that)s
1139(a)s 1320(zero-width)s 2426(space)s 3028(separates)s 220 fnt35
3968 12757(X)m 240 fnt82 4185 12760(from)m 4723(the)s 5085(\207rst)s
5531(paragraph,)s 6608(so)s 6889(if)s 7120(some)s 7696(wider)s
8314(space)s 8916(is)s 0 12472(required)m 857(it)s 1052(must)s
1580(be)s 1865(placed)s 2550(at)s 2785(the)s 3137(end)s
3544(of)s 220 fnt35 3818 12469(X)m 240 fnt82 3960 12472(.)m
4127(The)s 220 fnt35 4558 12469(@Inser)m -8(t)k 240 fnt82
5397 12472(operation)m 6361(is)s 6574(applied)s 7339(to)s 7581(the)s
7932(v)s 6(alue)k 8503(of)s 8778(the)s 0 12184(right)m
511(parameter)s 1525(after)s 2021(e)s 6(v)k 6(aluation.)k
480 11810(The)m 917(only)s 1407(kno)s 6(wn)k 2121(use)s
2506(for)s 2853(this)s 3259(symbol)s 4029(is)s 4249(to)s
4498(attach)s 5134(something)s 6194(lik)s 2(e)k 240 fnt84
6616 11809(Figur)m 4(e)k 7355(6)s 240 fnt82 7538 11810(to)m
7787(the)s 8145(front)s 8679(of)s 8960(a)s 0 11522(multi-paragraph)m
1596(caption.)s 240 fnt84 0 10729(3.26.)m 591(@OneOf)s 240 fnt82
534 10297(The)m 220 fnt35 956 10294(@OneOf)m 240 fnt82 1877 10297(symbol)m
2631(returns)s 3339(one)s 3734(of)s 3999(the)s 4341(sequence)s
5268(of)s 5533(objects)s 6254(which)s 6890(is)s 7094(its)s
7364(right)s 7869(parameter)s 8876(as)s 0 10009(its)m 276(result:)s
220 fnt35 480 9558(@OneOf {)m 480 9270(    @ResultA)m 480 8982(    @ResultB)m 480 8694(    @ResultC)m
480 8406(})m 240 fnt82 0 7912(The)m 451(choice)s 1155(is)s
1388(made)s 1986(to)s 2248(ensure)s 2952(that)s 3393(whate)s 6(v)k 3(er)k
4344(g)s 1(alle)k 3(y)k 5001(tar)s 4(get)k
5624(is)s 5857(required)s 6735(at)s 6990(the)s 7362(moment)s
8229(is)s 8463(found.)s 0 7624(F)m 3(or)k 389(e)s 3(xample,)k
1304(if)s 1522(we)s 1858(are)s 2206(e)s 6(v)k 6(aluating)k
220 fnt35 3244 7621(@OneOf)m 240 fnt82 4172 7624(as)m 4423(part)s
4855(of)s 5127(an)s 5411(attempt)s 6188(to)s 6428(attach)s
7056(a)s 7223(g)s 1(alle)k 3(y)k 7858(whose)s
8527(tar)s 4(get)k 0 7336(is)m 220 fnt35 222 7333(@SomeT)m 26(arget)k
240 fnt82 1622 7336(,)m 1741(then)s 2223(the)s 2583(result)s
3186(abo)s 3(v)k 3(e)k 3820(will)s 4259(be)s
220 fnt35 4553 7333(@ResultA)m 240 fnt82 5613 7336(if)m 5843(it)s
6047(contains)s 220 fnt35 6908 7333(@SomeT)m 26(arget)k 240 fnt82
8308 7336(,)m 8427(or)s 8699(else)s 220 fnt35 0 7045(@ResultB)m
240 fnt82 1042 7048(if)m 1260(it)s 1453(contains)s 220 fnt35
2302 7045(@SomeT)m 26(arget)k 240 fnt82 3702 7048(,)m 3810(or)s
4070(else)s 220 fnt35 4498 7045(@ResultC)m 240 fnt82 5552 7048(\(whether)m
6462(or)s 6722(not)s 7089(it)s 7282(contains)s 8131(the)s
8480(tar)s 4(get,)k 0 6760(or)m 259(if)s 476(there)s
1009(is)s 1219(no)s 1512(tar)s 4(get\).)k 480 6386(Use)m
930(of)s 220 fnt35 1224 6383(@OneOf)m 240 fnt82 2174 6386(in)m
2440(conjunction)s 3650(with)s 4155(recursi)s 6(v)k 3(e)k
5100(symbols)s 5972(can)s 6384(lead)s 6863(to)s 7125(problems.)s
8202(Consider)s 0 6098(this)m 396(e)s 3(xample:)k 220 fnt35
480 5597(def @Recursiv)m 5(e {)k 480 5021(    def @ChoiceA { @APlace // @Recursiv)m 5(e })k 480 4445(    def @ChoiceB { @BPlace // @Recursiv)m 5(e })k
480 3869(    @OneOf {)m 480 3581(        @ChoiceA)m 480 3293(        @ChoiceB)m 480 3005(    })m 480 2717(})m
240 fnt82 0 2223(Lout)m 523(belie)s 6(v)k 3(es)k
1360(that)s 1790(e)s 3(xpanding)k 220 fnt35 2849 2220(@Recursiv)m 5(e)k
240 fnt82 4106 2223(is)m 4328(the)s 4687(right)s 5210(thing)s
5767(to)s 6017(do)s 6322(when)s 6910(searching)s 7890(for)s
8240(either)s 8855(of)s 0 1935(the)m 380(g)s 1(alle)k 3(y)k
1046(tar)s 4(gets)k 220 fnt35 1762 1932(@APlace)m 240 fnt82
2763 1935(and)m 220 fnt35 3199 1932(@BPlace)m 240 fnt82 4108 1935(.)m
4305(When)s 4966(searching)s 5968(for)s 220 fnt35 6338 1932(@BPlace)m
240 fnt82 7339 1935(this)m 7768(leads)s 8342(Lout)s 8887(to)s
0 1647(e)m 3(xpand)k 220 fnt35 760 1644(@Recursiv)m 5(e)k
240 fnt82 1945 1647(,)m 2065(then)s 220 fnt35 2547 1644(@ChoiceA)m
240 fnt82 3596 1647(,)m 3717(then)s 4199(the)s 220 fnt35
4560 1644(@Recursiv)m 5(e)k 240 fnt82 5818 1647(symbol)m 6592(within)s
220 fnt35 7273 1644(@ChoiceA)m 240 fnt82 8322 1647(,)m 8442(and)s
8860(so)s 0 1359(on)m 320(in\207nitely)s 15(.)k 1355(This)s
1854(problem)s 2734(can)s 3146(be)s 3451(a)s 4(v)k 4(oided)k
4283(by)s 4600(attaching)s 5552(a)s 220 fnt35 5741 1356(@NotRe)m 6(v)k 5(ealed)k
240 fnt82 7291 1359(symbol)m 8074(to)s 8336(each)s 8855(of)s
0 1071(the)m 357(inner)s 220 fnt35 918 1068(@Recursiv)m 5(e)k
240 fnt82 2172 1071(symbols:)m 3146(these)s 3703(are)s 4059(then)s
4538(not)s 4914(a)s 4(v)k 6(ailable)k 5831(for)s
6179(e)s 3(xpansion)k 7214(until)s 7716(a)s 7892(decision)s
8756(has)s 0 783(been)m 510(made)s 1085(to)s 1326(e)s 3(xpand)k
2074(the)s 2424(symbol)s 3185(the)s 3(y)k 3650(lie)s
3945(within.)s 4721(In)s 4979(this)s 5376(particular)s 6352(e)s 3(xample)k
7216(it)s 7410(w)s 2(ould)k 8066(be)s 8350(simpler)s
0 495(to)m 239(write)s 220 fnt35 480 43(def @Recursiv)m 5(e {)k

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 56 62
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(56)m 240 fnt83 6081 13843(Chapter)m 6931(3.)s
7205(Pr)s 8(ede\207ned)k 8300(symbols)s 220 fnt35 480 13023(    @OneOf {)m
480 12735(        @APlace)m 480 12447(        @BPlace)m 480 12159(    })m 480 11871(    // @Recursiv)m 5(e)k
480 11583(})m 240 fnt82 0 11089(b)m 4(ut)k 378(this)s
791(f)s 2(actoring)k 1720(is)s 1947(not)s 2329(possible)s
3186(when)s 3778(the)s 4143(recursi)s 6(v)k 3(e)k
5081(calls)s 5586(ha)s 4(v)k 3(e)k 6103(parameters)s
7218(that)s 7652(are)s 8016(required)s 8887(to)s 0 10801(dif)m 6(fer)k
583(in)s 826(the)s 1174(tw)s 2(o)k 1584(cases.)s
240 fnt84 0 10057(3.27.)m 591(@Next)s 240 fnt82 535 9625(The)m
220 fnt35 957 9622(@Ne)m 6(xt)k 240 fnt82 1676 9625(symbol)m
2430(returns)s 3138(its)s 3409(parameter)s 4417(plus)s 4861(one.)s
5366(It)s 5565(is)s 5769(rather)s 6380(cle)s 6(v)k 3(er)k
7008(at)s 7234(w)s 2(orking)k 8078(this)s 8468(out:)s
8934(it)s 0 9337(hunts)m 570(through)s 1372(the)s 1720(parameter)s
2734(from)s 3258(right)s 3769(to)s 4008(left,)s 4432(looking)s
5217(for)s 5555(a)s 5721(number)s 6512(to)s 6751(increment:)s
220 fnt35 480 8836(@Ne)m 6(xt \(3.99\))k 240 fnt82 0 8340(has)m
404(result)s 1029(\(3.100\).)s 1925(If)s 220 fnt35 2190 8337(@Ne)m 6(xt)k
240 fnt82 2949 8340(cannot)m 3681(\207nd)s 4147(a)s 4348(digit)s
4880(inside)s 5542(its)s 5852(parameter)s 9(,)k 6939(it)s
7166(is)s 7410(an)s 7728(error)s 13(.)k 8377(Roman)s
0 8052(numerals)m 925(are)s 1270(handled)s 2084(by)s 2376(storing)s
3091(them)s 3627(in)s 3868(a)s 4032(database,)s 4960(as)s
5208(e)s 3(xplained)k 6191(in)s 6432(Section)s 7204(4.2;)s
220 fnt35 7614 8049(@Ne)m 6(xt)k 240 fnt82 8336 8052(will)m
8760(not)s 0 7764(increment)m 1015(a)s 1181(Roman)s 1930(numeral.)s
240 fnt84 0 7021(3.28.)m 591(@Case)s 240 fnt82 540 6589(The)m
220 fnt35 968 6586(@Case)m 240 fnt82 1755 6589(symbol)m 2515(selects)s
3202(its)s 3478(result)s 4068(from)s 4592(a)s 4758(list)s
5109(of)s 5380(alternati)s 6(v)k 3(es,)k 6578(depending)s
7629(on)s 7926(a)s 8092(tag:)s 220 fnt35 480 6088(@Da)m 6(y @Case {)k
480 5800(    { 1 21 31 }  @Y)m 4(ield  st)k 480 5512(    { 2 22 }  @Y)m 4(ield  nd)k 480 5224(    { 3 23 }  @Y)m 4(ield  rd)k
480 4936(    else  @Y)m 4(ield th)k 480 4648(})m 240 fnt82 0 4154(In)m
257(this)s 654(e)s 3(xample)k 1518(the)s 1868(result)s
2459(will)s 2886(be)s 3169(st)s 3390(if)s 220 fnt35
3608 4151(@Da)m 6(y)k 240 fnt82 4274 4154(is)m 4485(1,)s
4714(21,)s 5062(or)s 5322(31,)s 5670(and)s 6076(nd)s
6375(if)s 220 fnt35 6593 4151(@Da)m 6(y)k 240 fnt82
7259 4154(is)m 7471(2)s 7646(or)s 7906(22,)s 8254(etc.)s
8698(The)s 0 3866(ef)m 6(fect)k 594(is)s 801(similar)s
1520(to)s 1756(accessing)s 2722(a)s 2885(database,)s 3812(though)s
4532(in)s 4773(a)s 4936(more)s 5480(compact)s 6347(form.)s
6972(The)s 7397(right)s 7905(parameter)s 8916(is)s 0 3578(a)m
171(sequence)s 1109(of)s 220 fnt35 1385 3575(@Y)m 4(ield)k
240 fnt82 2143 3578(symbols,)m 3053(each)s 3553(with)s 4040(a)s
4211(left)s 4594(parameter)s 5613(whose)s 6286(v)s 6(alue)k
6859(is)s 7074(a)s 7245(sequence)s 8183(of)s 8459(one)s
8867(or)s 0 3290(more)m 547(juxtapositions)s 1940(of)s 2211(simple)s
2904(w)s 2(ords,)k 3594(and)s 3998(a)s 4164(right)s
4675(parameter)s 5689(which)s 6331(may)s 6797(be)s 7079(an)s 3(y)k
7476(object.)s 480 2916(W)m 19(e)k 895(\207rst)s 1372(describe)s
2271(the)s 2665(beha)s 4(viour)k 3725(when)s 4347(the)s
4742(v)s 6(alue)k 5356(of)s 5674(the)s 6068(left)s
6492(parameter)s 7552(of)s 220 fnt35 7870 2913(@Case)m 240 fnt82
8703 2916(is)m 8960(a)s 0 2628(juxtaposition)m 1302(of)s 1568(one)s
1965(or)s 2220(more)s 2762(simple)s 3450(w)s 2(ords.)k
4193(Then)s 4737(the)s 5080(result)s 5666(of)s 5932(the)s
220 fnt35 6275 2625(@Case)m 240 fnt82 7058 2628(is)m 7263(the)s
7606(right)s 8112(parameter)s 0 2340(of)m 287(the)s 652(\207rst)s
220 fnt35 1100 2337(@Y)m 4(ield)k 240 fnt82 1870 2340(whose)m
2554(left)s 2948(parameter)s 3979(contains)s 4844(either)s 5463(the)s
5828(v)s 6(alue)k 6413(of)s 6701(the)s 7065(left)s
7459(parameter)s 8490(of)s 8778(the)s 220 fnt35 0 2049(@Case)m
240 fnt82 727 2052(,)m 834(or)s 1093(the)s 1441(special)s
2159(v)s 6(alue)k 220 fnt35 2727 2049(else)m 240 fnt82
3121 2052(.)m 3285(If)s 3515(there)s 4048(is)s 4258(no)s
4551(such)s 220 fnt35 5047 2049(@Y)m 4(ield)k 240 fnt82
5800 2052(it)m 5992(is)s 6202(an)s 6485(error)s 13(.)k
480 1678(When)m 1133(the)s 1506(left)s 1908(parameter)s 2946(of)s
220 fnt35 3242 1675(@Case)m 240 fnt82 4054 1678(is)m 4288(not)s
4679(a)s 4870(juxtaposition)s 6200(of)s 6496(simple)s 7214(w)s 2(ords,)k
7928(the)s 8301(result)s 8916(is)s 0 1390(the)m 350(right)s
864(parameter)s 1881(of)s 2155(the)s 2506(\207rst)s 220 fnt35
2940 1387(@Y)m 4(ield)k 240 fnt82 3696 1390(whose)m 4367(left)s
4746(parameter)s 5763(is)s 220 fnt35 5976 1387(else)m 240 fnt82
6370 1390(,)m 6480(or)s 6742(an)s 7028(error)s 7554(otherwise.)s
8650(This)s 0 1102(permits)m 767(e)s 3(xamples)k 1718(lik)s 2(e)k
220 fnt35 480 601(@RunningTitle @Case {)m 480 313(    dft @Y)m 4(ield @Title)k 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 57 63
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13845(3.28.)m 574(@Case)s 240 fnt84 8831 13842(57)m
220 fnt35 480 13254(    else @Y)m 4(ield @RunningTitle)k 480 12966(})m 240 fnt82
0 12472(where)m 661(a)s 848(running)s 1667(title)s 2115(is)s
2346(returned)s 3221(unless)s 3892(it)s 4105(has)s 4496(the)s
4866(v)s 6(alue)k 220 fnt35 5455 12469(dft)m 240 fnt82
5776 12472(\(which)m 6519(presumably)s 7710(means)s 8393(that)s 8833(no)s
0 12184(running)m 798(title)s 1224(w)s 2(as)k 1645(supplied\),)s
2642(in)s 2885(which)s 3527(case)s 3994(an)s 4277(ordinary)s
5141(title)s 5567(is)s 5777(returned)s 6631(instead.)s 480 11810(When)m
1126(a)s 1310(recepti)s 6(v)k 3(e)k 2250(symbol)s
3028(is)s 3256(placed)s 3955(within)s 4641(a)s 220 fnt35
4825 11807(@Case)m 240 fnt82 5552 11810(,)m 5677(it)s 5887(should)s
6601(be)s 6901(included)s 7801(in)s 8062(each)s 8575(alter)s
8998(-)s 0 11522(nati)m 6(v)k 3(e,)k 695(since)s
1255(otherwise)s 2254(Basser)s 2964(Lout)s 3490(may)s 3969(become)s
4783(confused)s 5718(when)s 6308(trying)s 6945(to)s 7198(predict)s
7934(whether)s 8778(the)s 0 11234(symbol)m 755(will)s 1176(be)s
1453(a)s 1613(part)s 2039(of)s 2305(the)s 2648(result)s
3232(or)s 3486(not.)s 3951(Alternati)s 6(v)k 3(ely)k 15(,)k
5288(if)s 5500(it)s 5687(can)s 6071(be)s 6347(guaranteed)s
7449(that)s 7862(the)s 8204(recepti)s 6(v)k 3(e)k
0 10946(symbol)m 764(will)s 1195(ne)s 6(v)k 3(er)k
1782(be)s 2069(searched)s 2967(for)s 3310(when)s 3891(the)s
4244(cases)s 4804(that)s 5226(it)s 5423(does)s 5918(not)s
6289(lie)s 6587(within)s 7260(are)s 7612(selected,)s 8493(that)s
8916(is)s 0 10658(all)m 293(right)s 804(too.)s 240 fnt84
0 9865(3.29.)m 591(@Moment)s 240 fnt82 480 9433(The)m 908(prede\207ned)s
1976(symbol)s 220 fnt35 2736 9430(@Moment)m 240 fnt82 3808 9433(has)m
4178(the)s 4526(follo)s 6(wing)k 5503(de\207nition:)s 220 fnt35
480 8932(def @Moment)m 480 8644(   named @T)m 26(ag {})k 480 8356(   named @Second {})m 480 8068(   named @Min)m 2(ute {})k
480 7780(   named @Hour {})m 480 7492(   named @Da)m 6(y {})k 480 7204(   named @Month {})m 480 6916(   named @Y)m 30(ear {})k
480 6628(   named @Centur)m -6(y {})k 480 6340(   named @W)m 6(eekDa)k 6(y {})k
480 6052(   named @Y)m 30(earDa)k 6(y {})k 480 5764(   named @Da)m 6(ylightSa)k 4(ving {})k
480 5476({})m 240 fnt82 0 4982(It)m 208(may)s 677(be)s
962(used)s 1463(lik)s 2(e)k 1878(an)s 3(y)k
2278(other)s 2832(symbol.)s 3705(Lout)s 4220(pro)s 3(vides)k
5095(an)s 5381(in)s 9(v)k 4(ocation)k 6439(of)s
220 fnt35 6713 4979(@Moment)m 240 fnt82 7788 4982(with)m 8273(tag)s
220 fnt35 8622 4979(no)m 3(w)k 240 fnt82 9019 4982(,)m
0 4694(whose)m 668(other)s 1219(parameters)s 2317(are)s 2664(numbers)s
3539(encoding)s 4470(the)s 4818(current)s 5554(date)s 6008(and)s
6412(time:)s 220 fnt35 480 4129(@Second)m 240 fnt82 2482 4132(the)m
2830(current)s 3566(second,)s 4338(usually)s 5083(between)s 5937(00)s
6232(and)s 6636(59)s 220 fnt35 480 3798(@Min)m 2(ute)k
240 fnt82 2482 3801(the)m 2830(current)s 3566(minute,)s 4337(between)s
5191(00)s 5486(and)s 5890(59)s 220 fnt35 480 3488(@Hour)m
240 fnt82 2482 3491(the)m 2830(current)s 3566(hour)s 9(,)k
4103(between)s 4957(00)s 5252(and)s 5656(23)s 220 fnt35
480 3178(@Da)m 6(y)k 240 fnt82 2482 3181(the)m 2830(current)s
3566(day)s 3966(of)s 4237(the)s 4585(month,)s 5304(between)s
6158(1)s 6313(and)s 6717(31)s 220 fnt35 480 2849(@Month)m
240 fnt82 2482 2852(the)m 2830(current)s 3566(month,)s 4285(between)s
5139(1)s 5294(\(January\))s 6245(and)s 6649(12)s 6943(\(December\))s
220 fnt35 480 2520(@Y)m 30(ear)k 240 fnt82 2482 2523(the)m
2830(current)s 3566(year)s 4037(of)s 4308(the)s 4656(century)s 15(,)k
5465(between)s 6319(00)s 6614(and)s 7018(99)s 220 fnt35
480 2191(@Centur)m -6(y)k 240 fnt82 2482 2194(the)m 2830(current)s
3566(century)s 15(,)k 4375(e.g.)s 4765(19)s 5056(or)s
5315(20)s 220 fnt35 480 1862(@W)m 6(eekDa)k 6(y)k
240 fnt82 2482 1865(the)m 2830(current)s 3566(day)s 3966(of)s
4237(the)s 4585(week,)s 5197(between)s 6051(1)s 6206(\(Sunday\))s
7132(and)s 7536(7)s 7704(\(Saturday\))s 220 fnt35 480 1531(@Y)m 30(earDa)k 6(y)k
240 fnt82 2482 1534(the)m 2830(current)s 3566(day)s 3966(of)s
4237(the)s 4585(year)s 9(,)k 5094(between)s 5948(0)s
6123(and)s 6527(365)s 220 fnt35 480 1202(@Da)m 6(ylightSa)k 4(ving)k
240 fnt82 2482 1205(an)m 2784(implementation-dependent)s 5427(number)s 6237(that)s
6675(may)s 7160(encode)s 7914(the)s 8282(daylight)s 2482 917(sa)m 4(ving)k
3156(currently)s 4072(in)s 4315(ef)s 6(fect)k 0 356(Unix)m
519(manual)s 1262(entries)s 1934(state)s 2411(that)s 220 fnt35
2814 353(@Second)m 240 fnt82 3813 356(can)m 4186(be)s 4453(as)s
4687(high)s 5155(as)s 5389(61,)s 5720(to)s 5944(allo)s 6(w)k
6507(for)s 6830(leap)s 7265(seconds.)s 8171(Judicious)s 0 68(use)m
375(of)s 646(databases)s 1613(can)s 2002(con)s 9(v)k 3(ert)k
2767(these)s 3314(numbers)s 4189(into)s 4614(useful)s 5253(dates.)s
5908(F)s 3(or)k 6297(e)s 3(xample,)k 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 58 64
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(58)m 240 fnt83 6081 13843(Chapter)m 6931(3.)s
7205(Pr)s 8(ede\207ned)k 8300(symbols)s 220 fnt35 480 13207(@Moment&&no)m 3(w @Open { @Da)k 6(y {@Months&&@Month}, @Centur)k -6(y{@Y)k 30(ear} })k
240 fnt82 0 12709(produces)m 915(something)s 1965(lik)s 2(e)k
2377(8)s 2544(April,)s 3155(2000)s 3690(gi)s 6(v)k 3(en)k
4270(a)s 4436(suitable)s 5235(database)s 6114(of)s 6385(months.)s
240 fnt84 0 11916(3.30.)m 591(@Null)s 240 fnt82 480 11484(This)m
979(symbol)s 1762(pro)s 3(vides)k 2657(a)s 2846(con)s 9(v)k 3(enient)k
3967(w)s 2(ay)k 4441(to)s 4703(remo)s 3(v)k 3(e)k
5493(unw)s 2(anted)k 6503(concatenation)s 7911(symbols.)s 8896(If)s
0 11196(there)m 544(is)s 765(a)s 942(concatenation)s 2339(symbol)s
3110(preceding)s 220 fnt35 4117 11193(@Null)m 240 fnt82 4702 11196(,)m
4821(the)s 220 fnt35 5180 11193(@Null)m 240 fnt82 5836 11196(and)m
6252(the)s 6611(concatenation)s 8007(symbol)s 8779(are)s 0 10908(both)m
482(deleted.)s 1335(Otherwise,)s 2423(if)s 2638(there)s 3170(is)s
3379(a)s 3544(follo)s 6(wing)k 4519(concatenation)s 5903(symbol,)s
6714(it)s 6905(and)s 7307(the)s 220 fnt35 7654 10905(@Null)m
240 fnt82 8298 10908(are)m 8643(both)s 0 10620(deleted.)m 794(Otherwise,)s
220 fnt35 1883 10617(@Null)m 240 fnt82 2528 10620(becomes)m 3416(an)s
3699(empty)s 4351(object.)s 480 10246(These)m 1107(rules)s 1622(apply)s
2208(to)s 2447(a)s 2613(fully)s 3118(parenthesized)s 4490(v)s 3(ersion)k
5248(of)s 5519(the)s 5867(e)s 3(xpression.)k 7051(F)s 3(or)k
7440(e)s 3(xample,)k 8354(in)s 220 fnt35 480 9745(...)m 13(  //1vx @Null |0.5i ...)k
240 fnt82 0 9290(it)m 202(is)s 423(the)s 782(horizontal)s
1817(concatenation)s 3213(symbol)s 3984(follo)s 6(wing)k 220 fnt35
4972 9287(@Null)m 240 fnt82 5628 9290(that)m 6057(disappears,)s 7184(because)s
8008(in)s 8262(the)s 8621(fully)s 0 9002(parenthesized)m 1372(v)s 3(ersion)k
220 fnt35 480 8501(...)m 13(  //1vx { @Null |0.5i ...)k 13( })k 240 fnt82
0 8007(there)m 533(is)s 743(no)s 1036(concatenation)s 2421(symbol)s
3181(preceding)s 4177(the)s 220 fnt35 4525 8004(@Null)m 240 fnt82
5110 8007(.)m 240 fnt84 0 7214(3.31.)m 591(@Galley)s 1534(and)s
1975(@F)s 6(or)k 4(ceGalley)k 240 fnt82 480 6737(These)m
1131(symbols)s 2004(both)s 2511(act)s 2874(as)s 3148(a)s
3338(placeholder)s 4538(for)s 4900(a)s 5090(g)s 1(alle)k 3(y)k 15(.)k
5844(That)s 6366(is,)s 6656(the)s 3(y)k 7144(may)s
7634(be)s 7940(replaced)s 8832(by)s 0 6449(components)m 1210(of)s
1483(a)s 1651(g)s 1(alle)k 3(y)k 15(.)k
2383(In)s 2641(the)s 2991(case)s 3460(of)s 220 fnt35
3734 6446(@F)m 6(orceGalle)k 4(y)k 240 fnt82 5189 6449(the)m
5539(g)s 1(alle)k 3(y)k 6175(will)s 6604(then)s
7075(ha)s 4(v)k 3(e)k 7578(a)s 7746(forcing)s
8492(g)s 1(alle)k 3(y)k 0 6161(ef)m 6(fect)k
583(at)s 802(this)s 1184(point)s 1723(although)s 2604(it)s
2783(need)s 3280(not)s 3632(be)s 3901(declared)s 4754(using)s
220 fnt35 5313 6158(f)m 6(orce into)k 240 fnt82 6202 6161(.)m
6353(See)s 6740(Section)s 7501(2.7)s 7835(for)s 8160(a)s
8312(detailed)s 0 5873(discussion)m 1054(of)s 1325(g)s 1(alle)k 3(ys,)k
2105(forcing)s 2848(g)s 1(alle)k 3(ys,)k 3628(and)s
4032(tar)s 4(gets.)k 240 fnt84 0 5080(3.32.)m 591(@BeginHeaderComponent,)s
3466(@EndHeaderComponent,)s 6182(@SetHeaderComponent,)s 591 4792(and)m 1032(@ClearHeaderComponent)s 240 fnt82
480 4315(Informally)m 15(,)k 1597(header)s 2298(components)s 3510(are)s
3861(running)s 4663(headers)s 5448(that)s 5871(appear)s 6572(at)s
6808(the)s 7160(top)s 7523(of)s 7798(the)s 8151(displayed)s
0 4027(se)m 3(gments)k 936(of)s 1204(g)s 1(alle)k 3(ys.)k
2039(The)s 3(y)k 2579(are)s 2923(used,)s 3467(for)s
3802(e)s 3(xample,)k 4714(by)s 5005(the)s 220 fnt35
5350 4024(@Tb)m 4(l)k 240 fnt82 5917 4027(table)m 6434(formatting)s
7493(package)s 8330(to)s 8566(place)s 0 3739(running)m 798(headers)s
1579(at)s 1811(the)s 2159(top)s 2518(of)s 2789(each)s
3284(page)s 3792(of)s 4063(a)s 4229(multi-page)s 5320(table,)s
5891(after)s 6387(the)s 6735(\207rst)s 7166(page.)s 480 3365(F)m 3(ormally)k 15(,)k
1431(a)s 1583(header)s 2266(component)s 3376(of)s 3633(a)s
3785(g)s 1(alle)k 3(y)k 4405(is)s 4601(an)s
4870(ordinary)s 5720(component)s 6830(of)s 7087(a)s 7239(g)s 1(alle)k 3(y)k
7859(\(Section)s 8698(2.7\))s 0 3077(together)m 845(with)s 1330(an)s
1616(indication)s 2631(that)s 3052(the)s 3403(component)s 4530(is)s
4742(a)s 4911(header)s 5611(component.)s 6841(When)s 7473(printed,)s
8260(a)s 8429(header)s 0 2789(component)m 1125(looks)s 1696(e)s 3(xactly)k
2438(lik)s 2(e)k 2851(it)s 3045(w)s 2(ould)k
3701(ha)s 4(v)k 3(e)k 4203(done)s 4726(as)s
4977(an)s 5262(ordinary)s 6127(component;)s 7304(the)s 7653(dif)s 6(ference)k
8671(is)s 8883(in)s 0 2501(whether)m 830(the)s 1178(component)s
2302(is)s 2512(printed)s 3247(at)s 3479(all,)s 3824(and)s
4228(if)s 4445(so)s 4711(where.)s 480 2127(Ev)m 3(ery)k
1129(ordinary)s 2020(component)s 3171(of)s 3469(e)s 6(v)k 3(ery)k
4072(g)s 1(alle)k 3(y)k 4733(has)s 5130(associated)s
6197(with)s 6706(it)s 6925(a)s 7118(sequence)s 8078(of)s
8376(zero)s 8867(or)s 0 1839(more)m 543(header)s 1236(components.)s
2553(Whene)s 6(v)k 3(er)k 3583(a)s 3745(ne)s 6(w)k
4188(tar)s 4(get)k 4783(is)s 4989(attached)s 5839(to)s
6074(which)s 6712(does)s 7198(not)s 7560(itself)s 8104(occup)s 2(y)k
8843(an)s 0 1551(entire)m 588(component)s 1700(of)s 1959(its)s
2223(g)s 1(alle)k 3(y)k 15(,)k 2883(copies)s
3533(of)s 3792(the)s 4128(header)s 4813(components)s 6009(associated)s
7037(with)s 7507(the)s 7843(\207rst)s 8262(ordinary)s 0 1263(component)m
1124(to)s 1363(be)s 1645(promoted)s 2620(into)s 3045(that)s
3463(tar)s 4(get)k 4062(are)s 4409(promoted)s 5384(into)s
5809(it)s 6001(\207rst.)s 480 889(The)m 936(condition)s 1926(`which)s
2676(does)s 3195(not)s 3590(itself)s 4167(occup)s 2(y)k
4939(an)s 5251(entire)s 5879(component)s 7032(of)s 7332(its)s
7637(g)s 1(alle)k 3(y')k 8358(ensures)s 0 601(that,)m
460(for)s 793(e)s 3(xample,)k 1702(when)s 2273(part)s
2699(of)s 2964(a)s 3125(section)s 3854(has)s 4219(header)s
4911(components,)s 6169(these)s 6711(are)s 7053(not)s 7414(printed)s
8144(where)s 8778(the)s 0 313(section)m 735(is)s 947(promoted)s
1923(into)s 2350(its)s 2627(chapter)s 9(,)k 3430(b)s 4(ut)k
3793(rather)s 4411(where)s 5053(the)s 5402(chapter)s 6167(is)s
6378(promoted)s 7355(onto)s 7835(pages.)s 8546(If)s 8778(the)s

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 59 65
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Symbol
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(3.32.)m 574(@Be)s 9(ginHeaderComponent,)k 3360(@EndHeaderComponent,)s
5984(@SetHeaderComponent,)s 574 13555(and)m 1000(@ClearHeaderComponent)s 240 fnt84 8832 13840(59)m
240 fnt82 0 12917(tar)m 4(get)k 611(occupies)s 1511(the)s
1871(whole)s 2525(component,)s 3708(then)s 4189(the)s 4549(incoming)s
5519(g)s 1(alle)k 3(y)k 6165(will)s 6603(not)s
6981(split)s 7465(at)s 7709(all,)s 8066(so)s 8345(headers)s
0 12629(w)m 2(ould)k 655(be)s 937(of)s 1208(no)s
1501(interest)s 2263(there.)s 480 12255(The)m 896(one)s 1286(remaining)s
2295(question)s 3151(is)s 3348(`Ho)s 6(w)k 3929(is)s
4126(the)s 4462(sequence)s 5383(of)s 5641(header)s 6326(components)s
7521(of)s 7780(each)s 8262(ordinary)s 0 11967(component)m 1124(determined?')s
2477(By)s 2812(def)s 2(ault,)k 3580(the)s 3928(header)s
4626(components)s 5834(of)s 6106(one)s 6508(component)s 7632(are)s
7980(the)s 8328(same)s 8876(as)s 0 11679(those)m 561(of)s
832(the)s 1180(pre)s 6(vious)k 2049(component.)s 3277(W)s 19(e)k
3646(can)s 4035(sho)s 6(w)k 4589(this)s 4985(graphically)s
6114(as)s 6364(follo)s 6(ws:)k 240 fnt83 480 11180(C)m
168 fnt83 645 11093(i)m 240 fnt78 773 11172(:)m 240 fnt83
903 11180(H)m 168 fnt78 1086 11087(1)m 240 fnt78 1164 11172(,)m
240 fnt83 1271 11180(H)m 168 fnt78 1454 11087(2)m 240 fnt78
1546 11172(,)m 1653(\274)s 1951(,)s 240 fnt83 2058 11180(H)m
168 fnt83 2241 11093(n)m 240 fnt83 480 10892(/)m 480 10604(C)m
168 fnt83 645 10517(i)m 168 fnt78 711 10511(+)m 824(1)s
240 fnt78 974 10596(:)m 240 fnt83 1104 10604(H)m 168 fnt78
1287 10511(1)m 240 fnt78 1365 10596(,)m 240 fnt83 1472 10604(H)m
168 fnt78 1655 10511(2)m 240 fnt78 1747 10596(,)m 1854(\274)s
2152(,)s 240 fnt83 2259 10604(H)m 168 fnt83 2442 10517(n)m
240 fnt82 0 10060(which)m 642(may)s 1108(be)s 1391(read:)s
1908(`If)s 2217(ordinary)s 3082(component)s 240 fnt83 4206 10062(C)m
168 fnt83 4371 9975(i)m 240 fnt82 4475 10060(has)m 4846(header)s
5543(component)s 6667(sequence)s 240 fnt83 7601 10062(H)m 168 fnt78
7784 9969(1)m 240 fnt78 7862 10054(,)m 240 fnt83 7969 10062(H)m
168 fnt78 8152 9969(2)m 240 fnt78 8244 10054(,)m 8351(\274)s
8649(,)s 240 fnt83 8756 10062(H)m 168 fnt83 8939 9975(n)m
240 fnt82 9019 10060(,)m 0 9772(then)m 468(its)s 742(successor)s
1717(component)s 240 fnt83 2839 9774(C)m 168 fnt83 3004 9687(i)m
168 fnt78 3070 9681(+)m 3183(1)s 240 fnt82 3308 9772(has)m
3676(header)s 4372(component)s 5494(sequence)s 240 fnt83 6426 9774(H)m
168 fnt78 6609 9681(1)m 240 fnt78 6687 9766(,)m 240 fnt83
6794 9774(H)m 168 fnt78 6977 9681(2)m 240 fnt78 7069 9766(,)m
7176(\274)s 7474(,)s 240 fnt83 7581 9774(H)m 168 fnt83
7764 9687(n)m 240 fnt82 7902 9772(also.)m 16(')k 8501(Using)s
0 9484(this)m 396(notation,)s 1287(we)s 1622(may)s 2088(no)s 6(w)k
2549(de\207ne)s 3190(the)s 3538(four)s 3996(symbols)s 4845(that)s
5263(af)s 6(fect)k 5859(header)s 6556(component)s 7680(sequences:)s
240 fnt83 480 8985(C)m 168 fnt83 645 8898(i)m 240 fnt78
773 8977(:)m 240 fnt83 903 8985(H)m 168 fnt78 1086 8892(1)m
240 fnt78 1164 8977(,)m 240 fnt83 1271 8985(H)m 168 fnt78
1454 8892(2)m 240 fnt78 1546 8977(,)m 1653(\274)s 1951(,)s
240 fnt83 2058 8985(H)m 168 fnt83 2241 8898(n)m 240 fnt83
480 8697(/)m 480 8409(gap)m 220 fnt35 905 8404(@BeginHeaderComponent)m 240 fnt83
3609 8409(H)m 168 fnt83 3792 8322(n)m 168 fnt78 3894 8316(+)m
4007(1)s 240 fnt83 480 8121(/)m 480 7833(C)m 168 fnt83
645 7746(i)m 168 fnt78 711 7740(+)m 824(1)s 240 fnt78
974 7825(:)m 240 fnt83 1104 7833(H)m 168 fnt78 1287 7740(1)m
240 fnt78 1365 7825(,)m 240 fnt83 1472 7833(H)m 168 fnt78
1655 7740(2)m 240 fnt78 1747 7825(,)m 1854(\274)s 2152(,)s
240 fnt83 2259 7833(H)m 168 fnt83 2442 7746(n)m 240 fnt78
2534 7825(,)m 240 fnt83 2641 7833(H)m 168 fnt83 2824 7746(n)m
168 fnt78 2926 7740(+)m 3039(1)s 240 fnt82 0 7289(That)m
478(is,)s 220 fnt35 723 7286(@BeginHeaderComponent)m 240 fnt82 3394 7289(occup)m 2(ying)k
4422(an)s 4684(entire)s 5263(component)s 6366(appends)s 7181(a)s
7326(header)s 8002(component)s 0 7001(to)m 255(the)s 619(sequence)s
1568(of)s 1856(the)s 2220(follo)s 6(wing)k 3213(ordinary)s
4093(components.)s 5431(When)s 6076(printed,)s 6876(this)s 7288(header)s
8002(component)s 0 6713(is)m 217(separated)s 1184(by)s 240 fnt83
1485 6715(gap)m 240 fnt82 1905 6713(from)m 2436(the)s 2792(follo)s 6(wing)k
3776(component;)s 4959(if)s 240 fnt83 5183 6715(gap)m 240 fnt82
5603 6713(is)m 5820(empty)s 6480(it)s 6679(denotes)s 220 fnt35
7468 6710(0ie)m 240 fnt82 7819 6713(as)m 8076(usual)s 8644(with)s
0 6425(concatenation)m 1391(g)s 1(aps.)k 2000(The)s 2434(appearance)s
3572(of)s 3850(the)s 4204(header)s 4908(component)s 6039(will)s
6471(be)s 6760(e)s 3(xactly)k 7508(as)s 7764(it)s
7963(w)s 2(ould)k 8625(ha)s 4(v)k 3(e)k
0 6137(been)m 509(had)s 913(it)s 1105(occurred)s 1999(alone)s
2573(at)s 2805(that)s 3223(point,)s 3822(rather)s 4438(than)s
4907(after)s 220 fnt35 5403 6134(@BeginHeaderComponent)m 240 fnt82 8035 6137(.)m
480 5763(Ne)m 3(xt)k 1002(comes)s 220 fnt35 1664 5760(@EndHeaderComponent)m
240 fnt82 4126 5763(:)m 240 fnt83 480 5268(C)m 168 fnt83
645 5181(i)m 240 fnt78 773 5260(:)m 240 fnt83 903 5268(H)m
168 fnt78 1086 5175(1)m 240 fnt78 1164 5260(,)m 240 fnt83
1271 5268(H)m 168 fnt78 1454 5175(2)m 240 fnt78 1546 5260(,)m
1653(\274)s 1951(,)s 240 fnt83 2058 5268(H)m 168 fnt83
2241 5181(n)m 240 fnt78 2333 5260(,)m 240 fnt83 2440 5268(H)m
168 fnt83 2623 5181(n)m 168 fnt78 2725 5175(+)m 2838(1)s
240 fnt83 480 4980(/)m 220 fnt35 480 4687(@EndHeaderComponent)m 240 fnt83
480 4404(/)m 480 4116(C)m 168 fnt83 645 4029(i)m 168 fnt78
711 4023(+)m 824(1)s 240 fnt78 974 4108(:)m 240 fnt83
1104 4116(H)m 168 fnt78 1287 4023(1)m 240 fnt78 1365 4108(,)m
240 fnt83 1472 4116(H)m 168 fnt78 1655 4023(2)m 240 fnt78
1747 4108(,)m 1854(\274)s 2152(,)s 240 fnt83 2259 4116(H)m
168 fnt83 2442 4029(n)m 240 fnt82 0 3572(That)m 520(is,)s
220 fnt35 809 3569(@EndHeaderComponent)m 240 fnt82 3353 3572(\(which)m 4097(has)s
4490(no)s 4805(parameters\))s 6003(occup)s 2(ying)k 7074(an)s
7380(entire)s 8002(component)s 0 3284(deletes)m 722(the)s 1078(last)s
1477(header)s 2182(component.)s 3418(If)s 3656(the)s 4012(sequence)s
4953(is)s 5171(empty)s 15(,)k 5869(a)s 6043(w)s 2(arning)k
6886(message)s 7760(is)s 7978(printed)s 8722(and)s 0 2996(it)m
193(remains)s 1002(empty)s 15(.)k 220 fnt35 1751 2993(@BeginHeaderComponent)m
240 fnt82 4445 2996(and)m 220 fnt35 4851 2993(@EndHeaderComponent)m 240 fnt82
7375 2996(are)m 7724(naturally)s 8629(used)s 0 2708(in)m 243(matching)s
1186(\(possibly)s 2117(nested\))s 2856(pairs,)s 3427(to)s 3666(introduce)s
4625(and)s 5029(subsequently)s 6333(retract)s 7001(a)s 7167(header)s
7864(component.)s 480 2334(Ne)m 3(xt)k 1002(comes)s 220 fnt35
1664 2331(@SetHeaderComponent)m 240 fnt82 4065 2334(:)m 240 fnt83 480 1839(C)m
168 fnt83 645 1752(i)m 240 fnt78 773 1831(:)m 240 fnt83
903 1839(H)m 168 fnt78 1086 1746(1)m 240 fnt78 1164 1831(,)m
240 fnt83 1271 1839(H)m 168 fnt78 1454 1746(2)m 240 fnt78
1546 1831(,)m 1653(\274)s 1951(,)s 240 fnt83 2058 1839(H)m
168 fnt83 2241 1752(n)m 240 fnt83 480 1551(/)m 480 1263(gap)m
220 fnt35 905 1258(@SetHeaderComponent)m 240 fnt83 3378 1263(H)m 168 fnt83
3561 1176(n)m 168 fnt78 3663 1170(+)m 3776(1)s 240 fnt83
480 975(/)m 480 687(C)m 168 fnt83 645 600(i)m 168 fnt78
711 594(+)m 824(1)s 240 fnt78 974 679(:)m 240 fnt83
1104 687(H)m 168 fnt83 1287 600(n)m 168 fnt78 1389 594(+)m
1502(1)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 60 66
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
%%+ font Symbol
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(60)m 240 fnt83 6081 13843(Chapter)m 6931(3.)s
7205(Pr)s 8(ede\207ned)k 8300(symbols)s 220 fnt35 0 13202(@SetHeaderComponent)m
240 fnt82 2461 13205(clears)m 3068(an)s 3(y)k 3465(current)s
4201(header)s 4898(components)s 6107(and)s 6511(replaces)s 7344(them)s
7882(by)s 8176(one)s 8578(of)s 8850(its)s 0 12917(o)m 6(wn.)k
571(Finally)s 1302(we)s 1637(ha)s 4(v)k 3(e)k
220 fnt35 2138 12914(@ClearHeaderComponent)m 240 fnt82 4733 12917(:)m 240 fnt83
480 12418(C)m 168 fnt83 645 12331(i)m 240 fnt78 773 12410(:)m
240 fnt83 903 12418(H)m 168 fnt78 1086 12325(1)m 240 fnt78
1164 12410(,)m 240 fnt83 1271 12418(H)m 168 fnt78 1454 12325(2)m
240 fnt78 1546 12410(,)m 1653(\274)s 1951(,)s 240 fnt83
2058 12418(H)m 168 fnt83 2241 12331(n)m 240 fnt83 480 12130(/)m
220 fnt35 480 11837(@ClearHeaderComponent)m 240 fnt83 480 11554(/)m 480 11266(C)m
168 fnt83 645 11179(i)m 168 fnt78 711 11173(+)m 824(1)s
240 fnt78 974 11258(:)m 240 fnt82 0 10722(This)m 466(symbol)s
1216(clears)s 1813(an)s 3(y)k 2200(header)s 2886(components,)s
4140(lea)s 4(ving)k 4883(the)s 5221(sequence)s 6143(empty)s 15(.)k
6880(These)s 7497(last)s 7878(tw)s 2(o)k 8277(symbols)s
0 10434(combine)m 879(less)s 1287(cleanly)s 2030(than)s 2497(the)s
2844(\207rst)s 3274(tw)s 2(o)k 3683(\(either)s 4363(will)s
4788(wreck)s 5432(an)s 3(y)k 5828(enclosing)s 220 fnt35
6796 10431(@BeginHeaderCompo)m 240 fnt82 8998 10434(-)m 220 fnt35 0 10143(nent)m
240 fnt82 491 10146(\211)m 220 fnt35 679 10143(@EndHeaderComponent)m 240 fnt82
3209 10146(pair\),)m 3774(b)s 4(ut)k 4145(the)s 3(y)k
4616(are)s 4971(useful)s 5618(in)s 5869(situations)s 6845(where)s
7493(the)s 7849(range)s 8444(of)s 8724(one)s 0 9858(header)m
697(is)s 907(terminated)s 1986(by)s 2280(the)s 2628(start)s
3098(of)s 3369(the)s 3717(range)s 4304(of)s 4575(the)s
4923(ne)s 3(xt.)k 480 9484(All)m 859(four)s 1337(symbols)s
2206(yield)s 2761(the)s 3129(v)s 6(alue)k 220 fnt35
3717 9481(@Null)m 240 fnt82 4382 9484(where)m 5041(the)s 3(y)k
5524(appear)s 13(.)k 6332(If)s 6582(the)s 3(y)k
7064(do)s 7377(not)s 7763(occup)s 2(y)k 8527(entire)s
0 9196(components)m 1208(of)s 1479(their)s 1976(g)s 1(alle)k 3(y)k 15(,)k
2648(the)s 3(y)k 3111(are)s 3458(silently)s 4215(ignored.)s
240 fnt84 0 8403(3.33.)m 591(@NotRe)s 3(v)k 2(ealed)k
240 fnt82 480 7971(The)m 220 fnt35 938 7968(@NotRe)m 6(v)k 5(ealed)k
240 fnt82 2495 7971(symbol)m 3285(e)s 3(x)k 3(erts)k
3931(\207ne)s 4376(control)s 5138(o)s 3(v)k 3(er)k
5647(the)s 6026(process)s 6824(of)s 7125(e)s 3(xpanding)k
8204(recepti)s 6(v)k 3(e)k 0 7683(symbols.)m 955(It)s
1152(may)s 1611(appear)s 2300(only)s 2773(within)s 3433(the)s
3774(body)s 4300(of)s 4564(a)s 4722(de\207nition,)s 5739(immediately)s
6979(follo)s 6(wing)k 7949(the)s 8289(name)s 8855(of)s
0 7395(a)m 166(recepti)s 6(v)k 3(e)k 1088(symbol.)s
1957(F)s 3(or)k 2346(e)s 3(xample:)k 220 fnt35
480 6894(def A { @Galle)m 4(y })k 480 6318(def B { @Galle)m 4(y })k 480 5742(def ABList)m
480 5454({)m 480 5166(    A)m 480 4878(    //  B @NotRe)m 6(v)k 5(ealed)k
480 4590(    //  ABList)m 480 4302(})m 240 fnt82 0 3808(The)m 424(meaning)s
1297(is)s 1503(that)s 1916(the)s 2260(symbol)s 3016(immediately)s
4259(preceding)s 220 fnt35 5251 3805(@NotRe)m 6(v)k 5(ealed)k
240 fnt82 6718 3808(,)m 220 fnt35 6821 3805(B)m 240 fnt82
7015 3808(in)m 7253(this)s 7645(e)s 3(xample,)k 8555(is)s
8760(not)s 0 3520(re)m 6(v)k 3(ealed)k 851(to)s
1083(g)s 1(alle)k 3(ys)k 1800(which)s 2435(encounter)s
220 fnt35 3431 3517(ABList)m 240 fnt82 4113 3520(while)m 4693(searching)s
5655(for)s 5986(tar)s 4(gets;)k 6723(to)s 6955(such)s
7444(g)s 1(alle)k 3(ys)k 8161(it)s 8345(appears)s
0 3232(that)m 220 fnt35 408 3229(ABList)m 240 fnt82 1086 3232(contains)m
220 fnt35 1923 3229(A)m 240 fnt82 2116 3232(only)m 15(,)k
2624(not)s 220 fnt35 2979 3229(B)m 240 fnt82 3117 3232(,)m
3213(hence)s 3816(only)s 4286(g)s 1(alle)k 3(ys)k
4999(tar)s 4(geted)k 5811(to)s 220 fnt35 6039 3229(A)m
240 fnt82 6233 3232(will)m 6648(e)s 3(xpand)k 220 fnt35
7384 3229(ABList)m 240 fnt82 8013 3232(.)m 8166(Ho)s 6(we)k 6(v)k 3(er)k 9(,)k
0 2944(after)m 220 fnt35 496 2941(ABList)m 240 fnt82 1185 2944(is)m
1395(e)s 3(xpanded)k 2368(by)s 2662(such)s 3158(a)s
3324(g)s 1(alle)k 3(y)k 15(,)k 220 fnt35
3996 2941(B)m 240 fnt82 4194 2944(will)m 4620(be)s 4902(a)s 4(v)k 6(ailable)k
5810(as)s 6060(a)s 6226(tar)s 4(get)k 6825(in)s
7068(the)s 7416(usual)s 7976(w)s 2(ay)k 15(.)k
480 2570(Apart)m 1081(from)s 1602(this)s 1994(meaning,)s 220 fnt35
2922 2567(@NotRe)m 6(v)k 5(ealed)k 240 fnt82 4445 2570(has)m
4812(no)s 5102(ef)s 6(fect)k 5694(at)s 5923(all,)s
6264(and)s 6665(the)s 7010(body)s 7540(of)s 7808(the)s
8152(de\207nition)s 0 2282(may)m 501(be)s 819(understood)s 1976(by)s
2306(deleting)s 220 fnt35 3164 2279(@NotRe)m 6(v)k 5(ealed)k
240 fnt82 4727 2282(and)m 5166(an)s 3(y)k 5599(preceding)s
6630(space.)s 7361(Thus,)s 7982(the)s 8366(symbol)s 0 1994(preceding)m
220 fnt35 1001 1991(@NotRe)m 6(v)k 5(ealed)k 240 fnt82
2533 1994(may)m 3004(ha)s 4(v)k 3(e)k 3510(named)s
4211(and)s 4620(right)s 5136(parameters)s 6239(in)s 6487(the)s
6840(usual)s 7405(w)s 2(ay;)k 7919(these)s 8471(w)s 2(ould)k
0 1706(follo)m 6(w)k 672(after)s 1168(the)s 220 fnt35
1516 1703(@NotRe)m 6(v)k 5(ealed)k 240 fnt82 3043 1706(symbol.)m
480 1332(This)m 944(symbol)s 1692(w)s 2(as)k 2101(introduced)s
3169(to)s 3396(o)s 3(v)k 3(ercome)k 4377(a)s
4530(problem)s 5375(with)s 5845(\210oating)s 6616(\207gures)s 7306(treated)s
8001(as)s 8238(displays.)s 0 1044(It)m 205(turned)s 874(out)s
1240(to)s 1479(be)s 1761(essential)s 2638(to)s 2877(specify)s
3621(the)s 3969(layout)s 4627(of)s 4898(a)s 5064(column)s
5839(\(in)s 6161(part\))s 6660(as)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 61 67
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(3.33.)m 574(@NotRe)s 3(vealed)k 240 fnt84
8839 13840(61)m 220 fnt35 480 13251(@BodyT)m 26(e)k 6(xtPlace)k
480 12963(//  @FigurePlace)m 480 12675(//  @BodyT)m 26(e)k 6(xtPlace)k 480 12387(//  @FigurePlace)m
480 12099(//  @BodyT)m 26(e)k 6(xtPlace)k 480 11811(...)m 240 fnt82
0 11360(so)m 256(that)s 664(\207gures)s 1356(could)s 1935(alternate)s
2802(with)s 3274(body)s 3798(te)s 3(xt)k 4202(do)s 6(wn)k
4776(the)s 5114(column.)s 5986(Ho)s 6(we)k 6(v)k 3(er)k 9(,)k
6935(some)s 7486(means)s 8138(w)s 2(as)k 8548(need)s
8998(-)s 0 11072(ed)m 291(to)s 538(ensure)s 1226(that)s
1652(in)s 1903(the)s 2259(absence)s 3080(of)s 3359(an)s 3(y)k
3764(\207gures)s 4474(there)s 5015(could)s 5613(only)s 6101(be)s
6391(one)s 220 fnt35 6801 11069(@BodyT)m 26(e)k 6(xtPlace)k
240 fnt82 8527 11072(in)m 8778(the)s 0 10784(column,)m 831(since)s
1385(otherwise)s 2377(v)s 6(arious)k 3132(problems)s 4080(arose,)s
4698(for)s 5042(e)s 3(xample)k 5912(the)s 220 fnt35
6267 10781(@NP)m 240 fnt82 6851 10784(symbol)m 7618(merely)s 8342(causing)s
0 10496(a)m 174(skip)s 634(from)s 1167(one)s 220 fnt35
1577 10493(@BodyT)m 26(e)k 6(xtPlace)k 240 fnt82 3303 10496(to)m
3551(the)s 3907(ne)s 3(xt)k 4385(in)s 4636(the)s
4992(same)s 5548(column,)s 6381(rather)s 7006(than)s 7483(to)s
7730(the)s 8087(\207rst)s 8526(in)s 8778(the)s 0 10208(ne)m 3(xt)k
490(column.)s 1394(Also,)s 1974(without)s 2787(this)s 3204(feature)s
3944(the)s 4314(optimal)s 5120(page)s 5650(break)s 2(er')k 13(s)k
6595(attempts)s 7477(to)s 7737(end)s 8163(a)s 8351(column)s
0 9920(early)m 545(w)s 2(ould)k 1214(be)s 1510(frustrated)s
2496(by)s 2805(Lout)s 3331(then)s 3814(disco)s 3(v)k 3(ering)k
4991(that)s 5423(plenty)s 6090(of)s 6375(space)s 6976(e)s 3(xisted)k
7722(at)s 7968(a)s 8149(follo)s 6(wing)k 220 fnt35
0 9629(@BodyT)m 26(e)k 6(xtPlace)k 240 fnt82 1703 9632(in)m
1931(the)s 2263(same)s 2795(column.)s 3662(The)s 4074(solution)s
4887(is)s 5082(based)s 5669(on)s 220 fnt35 5951 9629(ABList)m
240 fnt82 6625 9632(abo)m 3(v)k 3(e;)k 7287(each)s
7767(occurrence)s 8855(of)s 220 fnt35 0 9341(@BodyT)m 26(e)k 6(xtPlace)k
240 fnt82 1712 9344(after)m 2201(a)s 220 fnt35 2361 9341(@FigurePlace)m
240 fnt82 3798 9344(is)m 4002(not)s 4361(re)s 6(v)k 3(ealed)k
5213(in)s 5449(the)s 5791(enclosing)s 6754(de\207nition,)s 7772(and)s
8169(so)s 8428(cannot)s 0 9056(be)m 282(found)s 899(by)s
1193(body)s 1727(te)s 3(xt)k 2142(g)s 1(alle)k 3(ys)k
2866(unless)s 3515(a)s 3682(\207gure)s 4296(has)s 4666(pre)s 6(viously)k
5724(attached)s 6578(to)s 6817(the)s 7165(preceding)s 220 fnt35
8162 9053(@Figure)m 240 fnt82 8998 9056(-)m 220 fnt35 0 8765(Place)m
240 fnt82 540 8768(.)m 240 fnt84 0 8021(3.34.)m 591(The)s
1046(cr)s 4(oss)k 1614(r)s 4(efer)k 4(ence)k
2616(symbols)s 3494(&&)s 3941(and)s 4382(&&&)s 240 fnt82
480 7544(The)m 941(cross)s 1516(reference)s 2493(symbol)s 220 fnt35
3286 7541(&&)m 240 fnt82 3668 7544(tak)m 2(es)k 4241(the)s
4623(name)s 5230(of)s 5534(a)s 5734(symbol)s 6527(\(not)s
7006(an)s 7322(object\))s 8068(for)s 8439(its)s 8749(left)s
0 7256(parameter)m 9(,)k 1068(and)s 1489(an)s 1788(object)s
2449(whose)s 3134(v)s 6(alue)k 3718(must)s 4260(be)s
4559(a)s 4741(simple)s 5451(w)s 2(ord,)k 6064(or)s
6340(se)s 6(v)k 3(eral)k 7079(simple)s 7788(w)s 2(ords,)k
8495(for)s 8850(its)s 0 6968(right)m 519(parameter)s 13(.)k
1633(The)s 2069(result)s 2668(is)s 2887(a)s 3061(cross)s
3612(reference,)s 4615(which)s 5265(may)s 5740(be)s 6030(thought)s
6831(of)s 7111(as)s 7369(an)s 7661(arro)s 6(w)k
8275(pointing)s 0 6680(from)m 524(the)s 872(cross)s 1414(reference)s
2357(symbol)s 3117(to)s 3356(the)s 3704(be)s 3(ginning)k
4712(of)s 4983(an)s 5266(in)s 9(v)k 4(ocation)k
6320(of)s 6591(the)s 6939(named)s 7635(symbol.)s 480 6306(The)m
894(in)s 9(v)k 4(ocation)k 1934(pointed)s 2696(to,)s
2975(kno)s 6(wn)k 3665(as)s 3901(the)s 240 fnt83
4235 6308(tar)m 8(g)k 2(et)k 240 fnt82 4846 6306(of)m
5103(the)s 5437(cross)s 5965(reference,)s 6945(is)s 7141(generally)s
8070(one)s 8458(whose)s 220 fnt35 0 6015(@T)m 26(ag)k
240 fnt82 643 6018(parameter)m 1677(has)s 2067(v)s 6(alue)k
2655(equal)s 3248(to)s 3507(the)s 3875(right)s 4406(parameter)s
5440(of)s 5731(the)s 6099(cross)s 6661(reference)s 7624(symbol.)s
8513(Three)s 0 5730(special)m 759(tags,)s 220 fnt35 1292 5727(preceding)m
240 fnt82 2243 5730(,)m 220 fnt35 2391 5727(f)m 6(ollo)k 3(wing)k
240 fnt82 3221 5730(,)m 3369(and)s 220 fnt35 3814 5727(f)m 6(oll_or_prec)k
240 fnt82 4948 5730(,)m 5097(point)s 5690(respecti)s 6(v)k 3(ely)k
6930(to)s 7210(the)s 7599(\207rst)s 8072(in)s 9(v)k 4(ocation)k
0 5442(preceding)m 1006(the)s 1365(cross)s 1918(reference)s 2872(in)s
3126(the)s 3485(\207nal)s 3976(printed)s 4721(document,)s 5783(to)s
6033(the)s 6392(\207rst)s 6834(in)s 9(v)k 4(ocation)k
7899(follo)s 6(wing)k 8887(it,)s 0 5154(and)m 404(to)s
643(the)s 991(\207rst)s 1422(follo)s 6(wing)k 2399(it)s
2591(if)s 2808(such)s 3304(e)s 3(xists)k 3896(else)s
4323(to)s 4562(the)s 4910(\207rst)s 5341(preceding)s 6337(it.)s
480 4780(A)m 709(cross)s 1249(reference)s 2190(may)s 2654(be)s
2935(used)s 3430(in)s 3671(four)s 4127(w)s 2(ays:)k
4782(where)s 5420(an)s 5701(object)s 6343(is)s 6552(e)s 3(xpected,)k
7504(in)s 7745(which)s 8385(case)s 8850(its)s 0 4492(v)m 6(alue)k
576(is)s 795(a)s 970(cop)s 2(y)k 1497(of)s
1777(the)s 2134(tar)s 4(get;)k 2794(with)s 3285(the)s
220 fnt35 3642 4489(@Open)m 240 fnt82 4457 4492(and)m 220 fnt35
4870 4489(@Use)m 240 fnt82 5544 4492(symbols;)m 6463(with)s 6954(the)s
220 fnt35 7311 4489(@T)m 26(agged)k 240 fnt82 8309 4492(symbol;)m
0 4204(and)m 414(in)s 667(the)s 220 fnt35 1025 4201(into)m
240 fnt82 1441 4204(clause)m 2105(or)s 220 fnt35 2374 4201(@T)m 26(arget)k
240 fnt82 3271 4204(symbol)m 4041(of)s 4323(a)s 4499(g)s 1(alle)k 3(y)k
5143(de\207nition,)s 6177(in)s 6430(which)s 7083(case)s 7560(the)s
7918(v)s 6(alue)k 8496(of)s 8778(the)s 0 3916(tag)m
345(must)s 870(be)s 220 fnt35 1152 3913(preceding)m 240 fnt82
2103 3916(,)m 220 fnt35 2210 3913(f)m 6(ollo)k 3(wing)k
240 fnt82 3040 3916(,)m 3147(or)s 220 fnt35 3406 3913(f)m 6(oll_or_prec)k
240 fnt82 4540 3916(.)m 480 3542(W)m 9(ithin)k 1233(an)s
220 fnt35 1557 3539(into)m 240 fnt82 2004 3542(clause)m 2698(or)s
220 fnt35 2999 3539(@T)m 26(arget)k 240 fnt82 3927 3542(symbol,)m
4780(the)s 5169(alternati)s 6(v)k 3(e)k 6265(form)s
220 fnt35 6830 3539(&&&)m 240 fnt82 7365 3542(is)m 7616(acceptable)s
8722(and)s 0 3254(indicates)m 900(a)s 1066(forcing)s 1809(g)s 1(alle)k 3(y)k
2443(\(Section)s 3296(2.7\).)s 480 2880(Except)m 1203(within)s 1870(an)s
220 fnt35 2151 2877(into)m 240 fnt82 2556 2880(clause)m 3208(or)s
220 fnt35 3465 2877(@T)m 26(arget)k 240 fnt82 4351 2880(symbol,)m
5162(the)s 5508(symbol)s 6267(referred)s 7078(to)s 7315(must)s
7839(ha)s 4(v)k 3(e)k 8339(a)s 220 fnt35
8503 2877(@T)m 26(ag)k 240 fnt82 0 2592(parameter)m 13(.)k
1100(This)s 1570(is)s 1775(so)s 2035(e)s 6(v)k 3(en)k
2530(if)s 2741(the)s 3084(right)s 3589(parameter)s 4597(of)s
4863(the)s 5205(cross)s 5742(reference)s 6679(is)s 220 fnt35
6884 2589(preceding)m 240 fnt82 7835 2592(,)m 220 fnt35 7936 2589(f)m 6(ollo)k 3(wing)k
240 fnt82 8766 2592(,)m 8867(or)s 220 fnt35 0 2301(f)m 6(oll_or_prec)k
240 fnt82 1134 2304(.)m 240 fnt84 0 1515(3.35.)m 591(@T)s 22(agged)k
240 fnt82 480 1038(The)m 220 fnt35 924 1035(@T)m 26(agged)k
240 fnt82 1929 1038(symbol)m 2705(tak)s 2(es)k 3261(a)s
3444(cross)s 4002(reference)s 4961(for)s 5315(its)s 5607(left)s
6001(parameter)s 7031(and)s 7451(an)s 7750(object,)s 8458(whose)s
0 750(v)m 6(alue)k 565(must)s 1087(be)s 1366(a)s
1528(juxtaposition)s 2831(of)s 3099(simple)s 3788(w)s 2(ords,)k
4475(or)s 4731(se)s 6(v)k 3(eral)k 5450(w)s 2(ords,)k
6136(or)s 6392(an)s 6672(empty)s 7320(object,)s 8008(for)s
8343(its)s 8615(right)s 0 462(parameter)m 13(.)k 1104(It)s
1307(has)s 1675(the)s 2021(ef)s 6(fect)k 2615(of)s
2885(attaching)s 3812(its)s 4086(right)s 4595(parameter)s 5607(as)s
5856(an)s 6137(additional)s 7146(tag)s 7489(to)s 7726(the)s
8072(in)s 9(v)k 4(ocation)k 0 174(denoted)m 819(by)s
1117(its)s 1397(left)s 1778(parameter)s 9(,)k 2834(unless)s
3487(the)s 3839(right)s 4353(parameter)s 5371(is)s 5585(empty)s 15(,)k
6279(in)s 6526(which)s 7172(case)s 220 fnt35 7643 171(@T)m 26(agged)k
240 fnt82 8636 174(does)m 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 62 68
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(62)m 240 fnt83 6081 13843(Chapter)m 6931(3.)s
7205(Pr)s 8(ede\207ned)k 8300(symbols)s 240 fnt82 0 13205(nothing.)m
896(The)s 1324(result)s 1914(of)s 220 fnt35 2185 13202(@T)m 26(agged)k
240 fnt82 3174 13205(is)m 3384(al)s 2(w)k 2(ays)k
220 fnt35 4095 13202(@Null)m 240 fnt82 4680 13205(,)m 4787(which)s
5429(mak)s 2(es)k 6089(it)s 6281(ef)s 6(fecti)k 6(v)k 3(ely)k
7340(in)s 9(visible.)k 240 fnt84 0 12412(3.36.)m 591(@Open and @Use)s
240 fnt82 480 11935(The)m 220 fnt35 904 11932(@Open)m 240 fnt82
1706 11935(symbol)m 2462(tak)s 2(es)k 2998(a)s 3159(cross)s
3697(reference)s 4636(or)s 4891(symbol)s 5647(in)s 9(v)k 4(ocation)k
6696(for)s 7030(its)s 7302(left)s 7675(parameter)s 9(,)k
8722(and)s 0 11647(an)m 269(arbitrary)s 1130(object,)s 1807(which)s
2435(must)s 2946(be)s 3214(enclosed)s 4095(in)s 4324(braces,)s
5027(for)s 5351(its)s 5613(right)s 6110(parameter)s 13(.)k
7201(The)s 7615(right)s 8112(parameter)s 0 11359(may)m 462(refer)s
966(to)s 1201(the)s 1544(e)s 3(xported)k 2432(parameters)s
3525(and)s 3925(nested)s 4589(de\207nitions)s 5646(of)s 5912(the)s
6256(in)s 9(v)k 4(ocation)k 7305(denoted)s 8117(by)s
8406(the)s 8749(left)s 0 11071(parameter)m 9(,)k 1050(and)s
1452(its)s 1725(v)s 6(alue)k 2291(is)s 2499(the)s
220 fnt35 2844 11068(@Open)m 240 fnt82 3648 11071(symbol')m 13(s)k
4560(result.)s 5252(The)s 5678(tar)s 4(get)k 6274(of)s
6543(the)s 6889(cross)s 7428(reference)s 8369(may)s 8832(lie)s
0 10783(in)m 234(an)s 507(e)s 3(xternal)k 1318(database)s
2187(\(Section)s 3031(3.37\).)s 3684(An)s 3(y)k 4138(symbol)s
4888(a)s 4(v)k 6(ailable)k 5787(outside)s 6524(the)s
220 fnt35 6862 10780(@Open)m 240 fnt82 7658 10783(which)m 8290(happens)s
0 10495(to)m 239(ha)s 4(v)k 3(e)k 741(the)s
1089(same)s 1637(name)s 2212(as)s 2462(one)s 2865(of)s
3137(the)s 3485(symbols)s 4335(made)s 4910(a)s 4(v)k 6(ailable)k
5818(by)s 6113(the)s 220 fnt35 6462 10492(@Open)m 240 fnt82
7268 10495(will)m 7695(be)s 7978(una)s 4(v)k 6(ailable)k
0 10207(within)m 668(the)s 220 fnt35 1016 10204(@Open)m 240 fnt82
1762 10207(.)m 538 9833(The)m 220 fnt35 963 9830(@Use)m 240 fnt82
1625 9833(symbol)m 2382(is)s 2589(an)s 220 fnt35 2869 9830(@Open)m
240 fnt82 3672 9833(symbol)m 4429(in)s 4669(a)s 4832(dif)s 6(ferent)k
5704(form.)s 6329(It)s 6531(may)s 6994(only)s 7471(appear)s
8165(among)s 8867(or)s 0 9545(after)m 502(the)s 857(de\207nitions)s
1925(in)s 2175(Lout')s 13(s)k 2844(input,)s 3450(and)s
3861(it)s 4060(is)s 4277(equi)s 6(v)k 6(alent)k
5328(to)s 5574(enclosing)s 6551(the)s 6906(remainder)s 7941(of)s
8219(the)s 8574(input)s 0 9257(in)m 243(an)s 220 fnt35
526 9254(@Open)m 240 fnt82 1332 9257(symbol.)m 2201(F)s 3(or)k
2590(e)s 3(xample,)k 240 fnt83 480 8754(de\207nitions)m 220 fnt35
480 8461(@Use)m 1145({)s 240 fnt83 1269 8466(x)m 220 fnt35
1435 8461(})m 480 8173(@Use)m 1145({)s 240 fnt83 1269 8178(y)m
220 fnt35 1431 8173(})m 240 fnt83 480 7890(r)m 8(est)k
894(of)s 1175(input)s 240 fnt82 0 7389(is)m 210(equi)s 6(v)k 6(alent)k
1254(to)s 240 fnt83 480 6886(de\207nitions)m 480 6598(x)m 220 fnt35
646 6593(@Open)m 480 6305({)m 240 fnt83 960 6310(y)m 220 fnt35
1122 6305(@Open)m 960 6017({)m 240 fnt83 1084 6022(r)m 8(est)k
1498(of)s 1779(input)s 220 fnt35 960 5729(})m 480 5441(})m
240 fnt82 0 4947(The)m 220 fnt35 424 4944(@Use)m 240 fnt82
1085 4947(symbol)m 1841(allo)s 6(ws)k 2506(a)s 2668(set)s
2989(of)s 3256(standard)s 4120(packages)s 5044(to)s 5279(be)s
5557(opened)s 6303(without)s 7090(the)s 7434(incon)s 9(v)k 3(enience)k
8855(of)s 0 4659(enclosing)m 974(the)s 1327(entire)s 1931(document)s
2939(in)s 220 fnt35 3187 4656(@Open)m 240 fnt82 3998 4659(symbols.)m
4964(Such)s 5505(enclosure)s 6482(could)s 7076(cause)s 7668(Basser)s
8370(Lout)s 8887(to)s 0 4371(run)m 376(out)s 742(of)s
1013(memory)s 15(.)k 240 fnt84 0 3578(3.37.)m 591(@Database and @SysDatabase)s
240 fnt82 529 3101(The)m 220 fnt35 945 3098(@Database)m 240 fnt82
2148 3101(symbol)m 2896(is)s 3095(used)s 3580(to)s 3808(declare)s
4541(the)s 4877(e)s 3(xistence)k 5808(of)s 6067(a)s
6222(\207le)s 6571(of)s 6831(symbol)s 7579(in)s 9(v)k 4(ocations)k
8708(that)s 0 2813(Lout)m 512(may)s 978(refer)s 1487(to)s
1726(when)s 2302(e)s 6(v)k 6(aluating)k 3339(cross)s
3881(references.)s 5025(In)s 5281(Basser)s 5978(Lout,)s 6537(for)s
6875(e)s 3(xample,)k 220 fnt35 480 2312(@Database @Months @W)m 6(eekDa)k 6(ys { standard })k
240 fnt82 0 1814(means)m 690(that)s 1137(there)s 1698(is)s
1937(a)s 2131(\207le)s 2521(called)s 220 fnt35 3177 1811(standard.ld)m
240 fnt82 4339 1814(containing)m 5430(in)s 9(v)k 4(ocations)k
6600(of)s 6899(the)s 7276(pre)s 6(viously)k 8363(de\207ned)s
0 1526(symbols)m 220 fnt35 846 1523(@Months)m 240 fnt82 1838 1526(and)m
220 fnt35 2238 1523(@W)m 6(eekDa)k 6(ys)k 240 fnt82
3503 1526(.)m 3663(A)s 220 fnt35 3889 1523(@Database)m 240 fnt82
5100 1526(symbol)m 5856(may)s 6318(appear)s 7011(an)s 3(ywhere)k
7990(a)s 8152(de\207nition)s 0 1238(or)m 252(a)s 220 fnt35
411 1235(@Use)m 240 fnt82 1069 1238(symbol)m 1822(may)s 2281(appear)s 13(.)k
3062(Dif)s 6(ferent)k 3982(de\207nitions)s 5036(packages)s 5957(may)s
6416(refer)s 6918(to)s 7150(a)s 7309(common)s 8196(database,)s
0 950(pro)m 3(vided)k 935(the)s 1312(de\207nitions)s 2402(the)s 3(y)k
2894(gi)s 6(v)k 3(e)k 3382(for)s 3749(its)s
4054(symbols)s 4932(are)s 5308(compatible.)s 6563(An)s 6942(entry)s
7516(is)s 7755(interpreted)s 8876(as)s 0 662(though)m 756(it)s
981(appears)s 1795(at)s 2060(the)s 2441(point)s 3026(where)s
3699(the)s 4080(cross)s 4655(reference)s 5631(that)s 6082(retrie)s 6(v)k 3(es)k
6978(it)s 7203(does,)s 7782(which)s 8457(allo)s 6(ws)k
0 374(symbols)m 866(lik)s 2(e)k 220 fnt35 1296 371(@I)m
240 fnt82 1639 374(for)m 220 fnt35 1995 371(Slope @F)m 6(ont)k
240 fnt82 3346 374(to)m 3602(be)s 3902(used)s 4417(in)s
4678(databases.)s 5776(The)s 6221(database)s 7118(\207le)s 7497(may)s
7981(not)s 8365(contain)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 63 69
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(3.37.)m 574(@Database and @SysDatabase)s 240 fnt84 8833 13840(63)m
220 fnt35 0 13202(@Database)m 240 fnt82 1214 13205(or)m 220 fnt35
1473 13202(@Include)m 240 fnt82 2455 13205(symbols,)m 3360(and)s 3764(each)s
4259(in)s 9(v)k 4(ocation)k 5313(within)s 5981(it)s
6173(must)s 6698(be)s 6980(enclosed)s 7875(in)s 8118(braces.)s
480 12831(Basser)m 1198(Lout)s 1732(constructs)s 2773(an)s 240 fnt83
3078 12833(inde)m 4(x)k 3674(\207le)s 240 fnt82 3959 12831(,)m
4087(which)s 4751(in)s 5016(this)s 5433(e)s 3(xample)k
6318(is)s 6550(called)s 220 fnt35 7199 12828(standard.li)m 240 fnt82
8196 12831(,)m 8325(the)s 8695(\207rst)s 0 12543(time)m 481(it)s
675(e)s 6(v)k 3(er)k 1139(encounters)s 2227(the)s
2577(database,)s 3509(as)s 3761(an)s 4045(aid)s 4397(to)s
4638(searching)s 5608(it.)s 5906(If)s 6138(the)s 6488(database)s
7368(\207le)s 7731(is)s 7943(changed,)s 8850(its)s 0 12255(inde)m 3(x)k
586(\207le)s 950(must)s 1477(be)s 1762(deleted)s 2512(by)s
2809(the)s 3159(user)s 3620(so)s 3888(that)s 4309(Basser)s
5008(Lout)s 5523(kno)s 6(ws)k 6196(to)s 6438(reconstruct)s
7561(it.)s 7860(There)s 8475(is)s 8688(also)s 0 11967(an)m
300(installation)s 1435(option)s 2121(which)s 2780(allo)s 6(ws)k
3466(this)s 3879(deletion)s 4723(to)s 4979(be)s 5278(done)s
5817(automatically)s 7188(on)s 7502(suitable)s 8318(systems)s 0 11679(\(including)m
1036(Unix\).)s 480 11305(Basser)m 1210(Lout)s 1756(searches)s 2649(for)s
3021(databases)s 4021(in)s 4298(the)s 4679(current)s 5449(directory)s
6398(\207rst,)s 6910(then)s 7412(in)s 7689(a)s 7888(sequence)s
8855(of)s 0 11017(standard)m 868(places.)s 1629(T)s 19(o)k
1929(search)s 2596(the)s 2944(standard)s 3812(places)s 4460(only)s 15(,)k
4978(use)s 220 fnt35 5353 11014(@SysDatabase)m 240 fnt82 6873 11017(.)m
240 fnt84 0 10224(3.38.)m 591(@Graphic)s 240 fnt82 556 9747(Lout)m
1084(does)s 1590(not)s 1972(pro)s 3(vide)k 2772(the)s
3136(v)s 6(ast)k 3592(repertoire)s 4591(of)s 4878(graphical)s
5838(objects)s 6582(\(lines,)s 7235(circles,)s 7980(box)s 3(es,)k
8660(etc.\))s 0 9459(required)m 846(by)s 1132(diagrams.)s 2163(Instead,)s
2952(it)s 3135(pro)s 3(vides)k 3999(an)s 4274(escape)s
4958(route)s 5497(to)s 5727(some)s 6280(other)s 6823(language)s
7734(that)s 8144(does)s 8625(ha)s 4(v)k 3(e)k
0 9171(these)m 547(features,)s 1409(via)s 1761(its)s 220 fnt35
2037 9168(@Gr)m 2(aphic)k 240 fnt82 3081 9171(symbol:)m 220 fnt35
480 8673({ 0 0 mo)m 3(v)k 5(eto)k 480 8385(  0 ysiz)m 3(e lineto)k
480 8097(  xsiz)m 3(e ysiz)k 3(e lineto)k 480 7809(  xsiz)m 3(e 0 lineto)k
480 7521(  closepath)m 480 7233(  strok)m 4(e)k 480 6945(})m 480 6657(@Gr)m 2(aphic)k
480 6369({ //0.2c)m 480 6081(  ||0.2c hello)m 8(, w)k 2(or)k -3(ld ||0.2c)k
480 5793(  //0.2c)m 480 5505(})m 240 fnt82 0 5011(The)m 428(result)s
1018(of)s 1289(the)s 1637(abo)s 3(v)k 3(e)k
2259(in)s 9(v)k 4(ocation)k 3313(of)s 3584(the)s
3932(symbol)s 220 fnt35 4692 5008(@Gr)m 2(aphic)k 240 fnt82
5736 5011(is)m 1365 422 0 422 240 288 60 480 4249 LoutGr2
0 0 moveto
0 ysize lineto
xsize ysize lineto
xsize 0 lineto
closepath
stroke
grestore
113 146(hello,)m 698(w)s 2(orld)k 
grestore
480 3533(The)m
909(right)s 1421(parameter)s 2437(al)s 2(w)k 2(ays)k
3149(appears)s 3931(as)s 4183(part)s 4615(of)s 4888(the)s
5237(result,)s 5875(and)s 6281(indeed)s 6978(the)s 7327(result)s
7919(is)s 8130(al)s 2(w)k 2(ays)k 8843(an)s
0 3245(object)m 651(whose)s 1327(size)s 1761(is)s 1979(identical)s
2863(to)s 3110(the)s 3465(size)s 3900(of)s 4178(the)s
4534(right)s 5052(parameter)s 6074(with)s 220 fnt35 6563 3242(@OneCol)m
240 fnt82 7583 3245(and)m 220 fnt35 7995 3242(@OneRo)m 3(w)k
240 fnt82 0 2957(applied)m 762(to)s 1001(it.)s 1297(From)s
1875(no)s 6(w)k 2336(on)s 2633(we)s 2968(refer)s
3477(to)s 3716(this)s 4112(part)s 4543(of)s 4814(the)s
5162(result)s 5752(as)s 6002(the)s 240 fnt83 6350 2959(base)m
240 fnt82 6782 2957(.)m 480 2583(The)m 898(left)s 1264(parameter)s
2267(is)s 2466(implementation-dependent:)s 5184(that)s 5591(is,)s 5847(its)s
6112(meaning)s 6978(is)s 7177(not)s 7532(de\207ned)s 8284(by)s
8567(Lout,)s 0 2295(and)m 421(dif)s 6(ferent)k 1313(implementations)s
2975(could)s 3582(require)s 4332(dif)s 6(ferent)k 5224(v)s 6(alues)k
5898(for)s 6253(it.)s 6567(The)s 7012(follo)s 6(wing)k
8007(description)s 0 2007(applies)m 752(to)s 1016(Basser)s 1737(Lout,)s
2321(which)s 2988(uses)s 3475(the)s 3848(PostScript)s 4914(page)s
5447(description)s 6591(language)s 7535([1)s 7709(].)s 7977(Similar)s
8764(b)s 4(ut)k 0 1719(more)m 559(restricted)s 1517(possibilities)s
2722(e)s 3(xist)k 3243(with)s 3737(the)s 4098(PDF)s
4608(back)s 5134(end)s 5550(\(see)s 6003(a)s 6182(separate)s
7033(document)s 8050(distrib)s 4(uted)k 0 1431(with)m 482(Lout\);)s
1125(to)s 1364(include)s 2124(both,)s 2657(use)s 3032(the)s
220 fnt35 3380 1428(@Bac)m 4(kEnd)k 240 fnt82 4525 1431(symbol)m
5285(lik)s 2(e)k 5697(this:)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 64 70
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(64)m 240 fnt83 6081 13843(Chapter)m 6931(3.)s
7205(Pr)s 8(ede\207ned)k 8300(symbols)s 220 fnt35 480 13207({ @Bac)m 4(kEnd @Case {)k
480 12919(      P)m 11(ostScr)k -3(ipt @Y)k 4(ield)k 480 12631(      {)m
480 12343(          ...)m 480 12055(      })m 480 11767(      PDF @Y)m 4(ield)k 480 11479(      {)m
480 11191(          ...)m 480 10903(      })m 480 10615(  })m 480 10327(  @Gr)m 2(aphic)k
480 10039(  {)m 480 9751(      ...)m 480 9463(  })m 480 9175(})m 240 fnt82
0 8681(Returning)m 1039(to)s 1307(PostScript,)s 2425(the)s 2802(left)s
3208(parameter)s 4251(refers)s 4874(to)s 5142(a)s 5337(coordinate)s
6431(system)s 7184(whose)s 7881(origin)s 8538(is)s 8778(the)s
0 8393(bottom)m 773(left-hand)s 1728(corner)s 2433(of)s 2740(the)s
3123(base.)s 3747(It)s 3987(may)s 4489(use)s 4899(the)s
5282(symbols)s 220 fnt35 6166 8390(xsiz)m 3(e)k 240 fnt82
6751 8393(and)m 220 fnt35 7190 8390(ysiz)m 3(e)k 240 fnt82
7774 8393(to)m 8048(denote)s 8778(the)s 0 8105(horizontal)m 1031(and)s
1442(v)s 3(ertical)k 2216(size)s 2650(of)s 2928(the)s
3283(base;)s 3827(similarly)s 15(,)k 220 fnt35 4774 8102(xmar)m -3(k)k
240 fnt82 5442 8105(and)m 220 fnt35 5853 8102(ymar)m -3(k)k
240 fnt82 6521 8105(denote)m 7222(the)s 7577(positions)s 8499(of)s
8778(the)s 0 7817(base')m 13(s)k 635(column)s 1410(and)s
1814(ro)s 6(w)k 2234(marks:)s gsave
480 5454 translate
180 fnt82 3570 2072 0 1994 180 288 45 LoutGraphic
gsave
grestore save gsave 200 dict begin lfigdict begin
grestore
180 fnt83 107 1955(ysize)m
0 1388(ymark)m 180 fnt82 364 253(0)m 2551 1701 850 1134 180 288 45 676 293 LoutGr2
grestore save gsave 200 dict begin lfigdict begin
grestore
2551 1701 850 1134 180 288 45 0 0 LoutGr2
/lfiglightgrey [ lfigbox ] gsave lfigpaintpath grestore
0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigsolid [ lfigbox ] lfigdopath
pop pop
grestore
2551 1701 850 1134 180 288 45 0 0 LoutGr2

0.015 cm setlinewidth lfiground setlinecap
0.15 cm /lfigdashed [ -0.3 cm ymark
xsize ymark 0.3 cm 0 lfigpadd []
xmark -0.3 cm
xmark ysize 0 0.3 cm lfigpadd ] lfigdopath
pop pop
grestore

grestore

grestore
end end restore
grestore
676 14(0)m 180 fnt83
1526 15(xmark)m 3227(xsize)s end end restore
grestore
0 5003(In)m 265(addition)s 1115(to)s
1363(these)s 1920(four)s 2387(symbols)s 3245(and)s 3658(0,)s
3895(lengths)s 4646(may)s 5121(be)s 5412(denoted)s 6238(in)s
6490(centimetres,)s 7706(inches,)s 8434(points,)s 0 4715(ems,)m 492(f)s -13(')k 13(s,)k
850(v')s 13(s)k 1180(and)s 1584(s')s 13(s)k
1887(using)s 2459(the)s 2807(notation)s 240 fnt83 480 4179(l)m
220 fnt35 666 4174(cm)m 240 fnt82 1197 4177(instead)m 1932(of)s
2203(Lout')s 13(s)k 240 fnt83 3045 4179(l)m 240 fnt82
3111 4177(c)m 240 fnt83 480 3891(l)m 220 fnt35 666 3886(in)m
240 fnt82 1197 3889(instead)m 1932(of)s 2203(Lout')s 13(s)k
240 fnt83 3045 3891(l)m 240 fnt82 3111 3889(i)m 240 fnt83
480 3603(l)m 220 fnt35 666 3598(pt)m 240 fnt82 1197 3601(instead)m
1932(of)s 2203(Lout')s 13(s)k 240 fnt83 3045 3603(l)m
240 fnt82 3111 3601(p)m 240 fnt83 480 3315(l)m 220 fnt35
666 3310(em)m 240 fnt82 1197 3313(instead)m 1932(of)s 2203(Lout')s 13(s)k
240 fnt83 3045 3315(l)m 240 fnt82 3111 3313(m)m 240 fnt83
480 3027(l)m 220 fnt35 666 3022(ft)m 240 fnt82 1197 3025(instead)m
1932(of)s 2203(Lout')s 13(s)k 240 fnt83 3045 3027(l)m
240 fnt82 3111 3025(f)m 240 fnt83 480 2739(l)m 220 fnt35
666 2734(vs)m 240 fnt82 1197 2737(instead)m 1932(of)s 2203(Lout')s 13(s)k
240 fnt83 3045 2739(l)m 240 fnt82 3111 2737(v)m 240 fnt83
480 2451(l)m 220 fnt35 666 2446(sp)m 240 fnt82 1197 2449(instead)m
1932(of)s 2203(Lout')s 13(s)k 240 fnt83 3045 2451(l)m
240 fnt82 3111 2449(s)m 0 1908(Note)m 521(that)s 939(there)s
1472(must)s 1997(be)s 2279(a)s 2445(space)s 3032(between)s
3886(the)s 4234(number)s 5025(and)s 5429(its)s 5705(unit,)s
6184(unlik)s 2(e)k 6836(Lout)s 7348(proper)s 13(.)k
480 1534(A)m 732(point)s 1306(within)s 1996(the)s 2366(base)s
2869(\(and,)s 3423(with)s 3927(care,)s 4453(a)s 4642(point)s
5216(outside)s 5985(it\))s 6267(may)s 6755(be)s 7059(denoted)s
7897(by)s 8213(a)s 8401(pair)s 8855(of)s 0 1246(lengths.)m
855(F)s 3(or)k 1244(e)s 3(xample,)k 220 fnt35
480 749(xmar)m -3(k  ymar)k -3(k)k 240 fnt82 0 251(is)m
210(the)s 558(point)s 1110(where)s 1750(the)s 2098(marks)s
2733(cross,)s 3331(and)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 65 71
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(3.38.)m 574(@Gr)s 3(aphic)k 240 fnt84
8833 13840(65)m 220 fnt35 480 13214(0   2 cm)m 240 fnt82 0 12759(is)m
195(a)s 346(point)s 883(on)s 1164(the)s 1497(left)s
1859(edge,)s 2402(tw)s 2(o)k 2797(centimetres)s 3933(abo)s 3(v)k 3(e)k
4539(the)s 4872(bottom)s 5595(left-hand)s 6499(corner)s 13(.)k
7245(These)s 7857(tw)s 2(o)k 8251(numbers)s 0 12471(are)m
347(called)s 975(the)s 240 fnt83 1323 12473(x)m 1489(coor)s 8(dinate)k
240 fnt82 2571 12471(and)m 2975(the)s 240 fnt83 3323 12473(y)m
3485(coor)s 8(dinate)k 240 fnt82 4567 12471(of)m 4838(the)s
5186(point.)s 480 12097(The)m 906(\207rst)s 1335(step)s 1770(in)s
2011(specifying)s 3057(a)s 3221(graphic)s 3988(object)s 4630(is)s
4837(to)s 5074(de\207ne)s 5712(a)s 240 fnt83 5876 12099(path)m
240 fnt82 6297 12097(.)m 6458(A)s 6686(path)s 7152(can)s
7539(be)s 7818(thought)s 8608(of)s 8876(as)s 0 11809(the)m
349(track)s 888(of)s 1161(a)s 1328(pen)s 1733(mo)s 3(ving)k
2516(o)s 3(v)k 3(er)k 2996(the)s 3346(page.)s
3963(The)s 4393(pen)s 4797(may)s 5265(be)s 5548(up)s
5842(\(not)s 6289(dra)s 3(wing\))k 7199(or)s 7460(do)s 6(wn)k
8045(\(dra)s 3(wing)k 8960(a)s 0 11521(line)m 414(or)s
673(curv)s 3(e\))k 1329(as)s 1579(it)s 1771(mo)s 3(v)k 3(es.)k
2554(The)s 2982(entire)s 3581(path)s 4050(is)s 4260(a)s
4426(sequence)s 5359(of)s 5630(the)s 5978(follo)s 6(wing)k
6955(items:)s 240 fnt83 1847 11149(x)m 2013(y)s 220 fnt35
2175 11144(mo)m 3(v)k 5(eto)k 240 fnt82 3120 11147(Lift)m
3537(the)s 3885(pen)s 4288(and)s 4692(mo)s 3(v)k 3(e)k
5274(it)s 5466(to)s 5705(the)s 6053(indicated)s 6987(point.)s
240 fnt83 2036 10790(x)m 2202(y)s 220 fnt35 2364 10785(lineto)m
240 fnt82 3120 10788(Put)m 3557(the)s 3963(pen)s 4424(do)s 6(wn)k
5066(and)s 5528(dra)s 3(w)k 6115(a)s 6339(straight)s
7173(line)s 7645(to)s 7942(the)s 8348(indicat)s 8998(-)s
3120 10500(ed)m 3404(point.)s 240 fnt83 702 10141(x)m 868(y)s
1030(r)s 1188(angle1)s 1879(angle2)s 220 fnt35 2580 10136(arc)m
240 fnt82 3120 10139(Put)m 3502(the)s 3853(pen)s 4259(do)s 6(wn)k
4846(and)s 5253(dra)s 3(w)k 5785(a)s 5954(circular)s
6745(arc)s 7092(whose)s 7763(centre)s 8405(has)s 8779(co)s
8998(-)s 3120 9851(ordinates)m 240 fnt83 4058 9853(x)m 240 fnt82
4235 9851(and)m 240 fnt83 4650 9853(y)m 240 fnt82 4823 9851(and)m
5238(whose)s 5917(radius)s 6563(is)s 240 fnt83 6784 9853(r)m
240 fnt82 6882 9851(.)m 7057(The)s 7496(arc)s 7851(be)s 3(gins)k
8535(at)s 8778(the)s 3120 9563(angle)m 240 fnt83 3727 9565(angle1)m
240 fnt82 4451 9563(measuring)m 5533(counterclockwise)s 7295(from)s 7852(the)s
8233(point)s 8818(di)s 8998(-)s 3120 9275(rectly)m 3714(to)s
3949(the)s 4294(right)s 4801(of)s 5069(the)s 5413(centre,)s
6100(and)s 6500(proceeds)s 7397(counterclockwise)s 3120 8987(to)m 240 fnt83
3361 8989(angle2)m 240 fnt82 4002 8987(.)m 4168(If)s 4401(the)s
4751(arc)s 5098(is)s 5310(not)s 5679(the)s 6029(\207rst)s
6462(thing)s 7010(on)s 7309(the)s 7660(path,)s 8181(a)s
8350(straight)s 3120 8699(line)m 3549(will)s 3990(be)s 4287(dra)s 3(wn)k
4954(connecting)s 6072(the)s 6435(current)s 7186(point)s 7753(to)s
8007(the)s 8370(start)s 8855(of)s 3120 8411(the)m 3468(arc.)s
240 fnt83 589 8102(x)m 755(y)s 917(r)s 1075(angle1)s
1766(angle2)s 220 fnt35 2467 8097(arcn)m 240 fnt82 3120 8100(As)m
3437(for)s 3775(arc,)s 4173(b)s 4(ut)k 4535(the)s
4883(arc)s 5227(goes)s 5717(clockwise)s 6729(from)s 240 fnt83
7253 8102(angle1)m 240 fnt82 7944 8100(to)m 240 fnt83 8183 8102(angle2)m
240 fnt82 8824 8100(.)m 220 fnt35 1955 7738(closepath)m 240 fnt82
3120 7741(Dra)m 3(w)k 3702(a)s 3868(straight)s 4644(line)s
5058(back)s 5571(to)s 5810(the)s 6158(point)s 6710(most)s
7235(recently)s 8058(mo)s 3(v)k 3(ed)k 8762(to.)s
0 7367(The)m 428(\207rst)s 860(item)s 1344(should)s 2042(al)s 2(w)k 2(ays)k
2753(be)s 3036(a)s 220 fnt35 3202 7364(mo)m 3(v)k 5(eto)k
240 fnt82 3907 7367(,)m 220 fnt35 4015 7364(arc)m 240 fnt82
4315 7367(,)m 4422(or)s 220 fnt35 4682 7364(arcn)m 240 fnt82
5095 7367(.)m 5259(It)s 5465(should)s 6162(be)s 6445(clear)s
6968(from)s 7493(this)s 7889(that)s 8308(the)s 8657(path)s
0 7079(gi)m 6(v)k 3(en)k 580(earlier:)s 220 fnt35
480 6585(0 0 mo)m 3(v)k 5(eto)k 480 6297(0 ysiz)m 3(e lineto)k
480 6009(xsiz)m 3(e ysiz)k 3(e lineto)k 480 5721(xsiz)m 3(e 0 lineto)k
480 5433(closepath)m 240 fnt82 0 4937(traces)m 607(around)s 1330(the)s
1678(boundary)s 2637(of)s 2908(the)s 3256(base)s 3737(with)s
4219(the)s 4567(pen)s 4970(do)s 6(wn.)k 480 4563(Once)m
1039(a)s 1203(path)s 1670(is)s 1877(set)s 2200(up,)s
2545(we)s 2877(are)s 3222(ready)s 3805(to)s 240 fnt83
4041 4565(paint)m 240 fnt82 4595 4563(it)m 4785(onto)s 5262(the)s
5607(page.)s 6221(There)s 6832(are)s 7176(tw)s 2(o)k
7584(choices:)s 8405(we)s 8737(can)s 0 4275(either)m 240 fnt83
618 4277(str)m 10(ok)k 2(e)k 240 fnt82 1259 4275(it,)m
1514(which)s 2172(means)s 2850(to)s 3105(display)s 3866(it)s
4074(as)s 4340(described;)s 5383(or)s 5658(we)s 6009(can)s
240 fnt83 6414 4277(\207ll)m 240 fnt82 6742 4275(it,)m 6997(which)s
7655(means)s 8333(to)s 8588(paint)s 0 3987(e)m 6(v)k 3(erything)k
1067(inside)s 1694(it)s 1886(gre)s 3(y)k 2362(or)s
2621(black.)s 3303(F)s 3(or)k 3692(stroking)s 4529(the)s
4877(tw)s 2(o)k 5287(main)s 5822(options)s 6578(are)s
240 fnt83 1581 3484(length)m 220 fnt35 2234 3479(setline)m 4(width)k
240 fnt82 3600 3482(The)m 4028(pen)s 4431(will)s 4857(dra)s 3(w)k
5386(lines)s 5888(of)s 6159(the)s 6507(gi)s 6(v)k 3(en)k
7087(width.)s 220 fnt35 1553 2974([)m 240 fnt83 1668 2979(length)m
220 fnt35 2321 2974(])m 2430(0)s 2605(setdash)s 240 fnt82
3600 2977(The)m 4034(pen)s 4444(will)s 4876(dra)s 3(w)k
5412(dashed)s 6142(lines)s 6650(when)s 7233(it)s 7432(is)s
7648(do)s 6(wn,)k 8289(with)s 8778(the)s 3600 2689(dashes)m
4289(each)s 4784(of)s 5055(the)s 5403(gi)s 6(v)k 3(en)k
5983(length.)s 0 2186(These)m 627(options)s 1383(are)s 1730(follo)s 6(wed)k
2632(by)s 2926(the)s 3274(w)s 2(ord)k 220 fnt35
3822 2183(strok)m 4(e)k 240 fnt82 4408 2186(.)m 4572(So,)s
4932(for)s 5270(e)s 3(xample,)k 220 fnt35 480 1688({ 0 0 mo)m 3(v)k 5(eto xsiz)k 3(e 0 lineto)k
480 1400(  2 pt setline)m 4(width [ 5 pt ] 0 setdash strok)k 4(e)k 480 1112(})m 480 824(@Gr)m 2(aphic { 3i @Wide })k
240 fnt82 0 328(has)m 370(result)s 4320 0 0 0 240 288 60 480 38 LoutGr2
0 0 moveto xsize 0 lineto
2 pt setlinewidth [ 5 pt ] 0 setdash stroke
grestore

grestore

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 66 72
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(66)m 240 fnt83 6081 13843(Chapter)m 6931(3.)s
7205(Pr)s 8(ede\207ned)k 8300(symbols)s 240 fnt82 480 12940(When)m
1106(\207lling)s 1726(in)s 1965(the)s 2310(re)s 3(gion)k
2971(enclosed)s 3862(by)s 4153(a)s 4315(path,)s 4830(the)s
5175(main)s 5706(option)s 6371(is)s 220 fnt35 6578 12937(setg)m 2(r)k 2(a)k 6(y)k
240 fnt82 7286 12940(,)m 7389(which)s 8027(determines)s 0 12652(the)m
348(shade)s 949(of)s 1220(gre)s 3(y)k 1696(to)s
1935(use,)s 2361(on)s 2658(a)s 2824(scale)s 3357(from)s
3881(0)s 4056(\(black\))s 4781(to)s 5020(1)s 5175(\(white\).)s
6028(So,)s 6388(for)s 6726(e)s 3(xample,)k 220 fnt35
480 12154({ 0 0 mo)m 3(v)k 5(eto xsiz)k 3(e 0 lineto 0 ysiz)k 3(e lineto closepath)k
480 11866(  0.8 setg)m 2(r)k 2(a)k 6(y \207ll)k 480 11578(})m
480 11290(@Gr)m 2(aphic)k 480 11002({ 2c @Wide  2c @High })m 240 fnt82 0 10503(has)m
370(result)s 1134 1134 0 1134 240 288 60 480 9079 LoutGr2
0 0 moveto xsize 0 lineto 0 ysize lineto closepath
0.8 setgray fill
grestore

grestore
480 8363(There)m 1107(are)s 1468(man)s 3(y)k
2066(other)s 2631(options.)s 3515(The)s 3957(v)s 6(alue)k
4540(of)s 4825(the)s 5188(left)s 5579(parameter)s 6608(of)s
220 fnt35 6893 8360(@Gr)m 2(aphic)k 240 fnt82 7952 8363(may)m
8432(be)s 8729(an)s 3(y)k 0 8075(fragment)m 922(of)s
1193(the)s 1541(PostScript)s 2583(page)s 3091(description)s 4210(language)s
5130([1)s 5304(].)s 5547(Here)s 6067(are)s 6414(tw)s 2(o)k
6824(other)s 7375(e)s 3(xamples:)k 220 fnt35 480 7578(xsiz)m 3(e)k
1030(2)s 1203(div)s 240 fnt82 0 7124(denoting)m 891(a)s
1057(length)s 1712(equal)s 2285(to)s 2524(half)s 2967(the)s
3315(horizontal)s 4339(size)s 4766(of)s 5037(the)s 5385(base,)s
5917(and)s 220 fnt35 480 6625(gsa)m 4(v)k 5(e)k
1110(\207ll)s 1363(g)s 2(restore)k 2219(strok)s 4(e)k
240 fnt82 0 6126(which)m 648(both)s 1138(\207lls)s 1554(and)s
1965(strok)s 2(es)k 2698(the)s 3053(path.)s 3636(Since)s
4230(Basser)s 4933(Lout)s 5452(does)s 5949(not)s 6322(check)s
6948(that)s 7373(the)s 7728(left)s 8112(parameter)s 0 5838(is)m
209(v)s 6(alid)k 737(PostScript,)s 1824(it)s 2014(is)s
2222(possible)s 3061(to)s 3298(cause)s 3883(mysterious)s 4981(errors)s
5586(in)s 5828(the)s 6174(printing)s 6982(de)s 6(vice,)k
7705(resulting)s 8592(in)s 8833(no)s 0 5550(output,)m 708(if)s
914(an)s 1186(incorrect)s 2083(v)s 6(alue)k 2640(is)s
2839(gi)s 6(v)k 3(en.)k 3515(It)s 3709(is)s
3908(a)s 4063(good)s 4590(idea)s 5037(to)s 5265(encapsulate)s
6425(graphics)s 7275(objects)s 7992(in)s 8224(carefully)s 0 5262(tested)m
635(de\207nitions,)s 1772(lik)s 2(e)k 2205(those)s 2786(of)s
3078(the)s 3446(Diag)s 3985(\207gure)s 4619(dra)s 3(wing)k
5473(package)s 6334([4)s 6527(,)s 6654(Chapter)s 7492(9],)s
7818(to)s 8078(be)s 8380(sure)s 8855(of)s 0 4974(a)m 4(v)k 4(oiding)k
883(these)s 1430(errors.)s 480 4600(PostScript)m 1543(e)s 3(xperts)k
2302(may)s 2789(\207nd)s 3241(the)s 3610(follo)s 6(wing)k
4608(information)s 5814(helpful)s 6567(when)s 7164(designing)s 8170(adv)s 6(anced)k
0 4312(graphics)m 861(features.)s 1780(The)s 2208(left)s 2585(parameter)s
3599(of)s 220 fnt35 3870 4309(@Gr)m 2(aphic)k 240 fnt82
4914 4312(may)m 5380(ha)s 4(v)k 3(e)k 5881(tw)s 2(o)k
6291(parts,)s 6862(separated)s 7822(by)s 220 fnt35 8116 4309(//)m
240 fnt82 8241 4312(:)m 220 fnt35 480 3804({)m 240 fnt83
604 3809(\207r)m 2(st)k 1038(part)s 220 fnt35 1501 3804(//)m
240 fnt83 1686 3809(second)m 2417(part)s 220 fnt35 2880 3804(} @Gr)m 2(aphic)k
240 fnt83 4058 3809(object)m 240 fnt82 0 3308(If)m 230(there)s
763(is)s 973(no)s 220 fnt35 1266 3305(//)m 240 fnt82
1391 3308(,)m 1498(the)s 1846(second)s 2569(part)s 3000(is)s
3210(tak)s 2(en)k 3783(to)s 4022(be)s 4304(empty)s 15(.)k
5051(The)s 5479(PostScript)s 6521(output)s 7193(has)s 7563(the)s
7911(form)s 220 fnt35 480 2851(gsa)m 4(v)k 5(e)k
240 fnt83 480 2568(x)m 646(y)s 220 fnt35 808 2563(tr)m 2(anslate)k
240 fnt83 480 2280(Code)m 1039(whic)s 3(h)k 1663(de\207nes)s
220 fnt35 2383 2275(xsiz)m 3(e)k 240 fnt83 2872 2280(,)m
220 fnt35 2965 2275(ysiz)m 3(e)k 240 fnt83 3454 2280(,)m
220 fnt35 3547 2275(xmar)m -3(k)k 240 fnt83 4148 2280(,)m
220 fnt35 4241 2275(ymar)m -3(k)k 240 fnt83 4842 2280(,)m
220 fnt35 4935 2275(ft)m 240 fnt83 5053 2280(,)m 220 fnt35
5146 2275(vs)m 240 fnt83 5359 2280(,)m 5452(and)s 220 fnt35
5878 2275(sp)m 480 1987(gsa)m 4(v)k 5(e)k 240 fnt83
480 1704(\207r)m 2(st)k 914(part)s 220 fnt35 480 1411(g)m 2(restore)k
240 fnt83 480 1128(Code)m 1039(whic)s 3(h)k 1663(r)s 8(ender)k 2(s)k
2439(the)s 2784(right)s 3313(par)s 3(ameter)k 4372(in)s
4612(tr)s 3(anslated)k 5645(coor)s 8(dinates)k 480 840(second)m
1211(part)s 220 fnt35 480 547(g)m 2(restore)k 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 67 73
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Symbol
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(3.38.)m 574(@Gr)s 3(aphic)k 240 fnt84
8831 13840(67)m 240 fnt82 0 13205(where)m 240 fnt83 628 13207(x)m
240 fnt78 733 13199(,)m 240 fnt83 802 13207(y)m 240 fnt82
952 13205(is)m 1149(the)s 1485(position)s 2300(of)s 2558(the)s
2894(lo)s 6(wer)k 3479(left)s 3843(corner)s 4501(of)s
4759(the)s 5095(base.)s 5671(Ha)s 4(ving)k 6412(tw)s 2(o)k
6810(parts)s 7312(permits)s 8066(brack)s 2(eting)k 0 12917(operations,)m
1112(lik)s 2(e)k 220 fnt35 1533 12914(sa)m 4(v)k 5(e)k
240 fnt82 2049 12917(and)m 220 fnt35 2462 12914(restore)m 240 fnt82
3206 12917(or)m 220 fnt35 3474 12914(begin)m 240 fnt82 4065 12917(and)m
220 fnt35 4478 12914(end)m 240 fnt82 4832 12917(,)m 4949(to)s
5197(enclose)s 5979(an)s 6271(object.)s 7028(See)s 7438(the)s
7795(source)s 8484(\207le)s 8855(of)s 0 12629(the)m 348(Diag)s
866(package)s 1706(for)s 2044(e)s 3(xamples.)k 240 fnt84
0 11836(3.39.)m 591(@PlainGraphic)s 240 fnt82 567 11359(The)m 220 fnt35
1023 11356(@PlainGr)m 2(aphic)k 240 fnt82 2580 11359(symbol)m 3368(is)s
3606(a)s 4(v)k 3(ery)k 4211(rudimentary)s 5461(analogue)s
6408(for)s 6774(plain)s 7337(te)s 3(xt)k 7779(output)s
8479(of)s 8778(the)s 220 fnt35 0 11068(@Gr)m 2(aphic)k
240 fnt82 1037 11071(symbol)m 1789(for)s 2119(PostScript)s 3153(output.)s
3921(Its)s 4202(result)s 4784(is)s 4986(its)s 5254(right)s
5757(parameter)s 6763(printed)s 7490(on)s 7779(a)s 7937(background)s
0 10783(created)m 747(by)s 1041(repeated)s 1908(printings)s 2809(of)s
3080(its)s 3356(left)s 3733(parameter)s 9(,)k 4785(which)s
5427(must)s 5952(be)s 6234(a)s 6400(simple)s 7093(w)s 2(ord.)k
7747(F)s 3(or)k 8136(e)s 3(xample,)k 480 10278("." @PlainGraphic 5s @W)m 9(ide)k
0 9775(w)m 2(ould)k 676(produce)s 1525(\207v)s 3(e)k
1959(dots.)s 220 fnt35 2544 9772(@PlainGr)m 2(aphic)k 240 fnt82
4096 9775(is)m 4328(used)s 4847(in)s 5112(the)s 220 fnt35
5482 9772(tb)m 4(l)k 240 fnt82 5777 9775(table-dra)m 3(wing)k
7176(package)s 8038(to)s 8299(produce)s 0 9487(plain-te)m 3(xt)k
972(rules.)s 240 fnt84 0 8694(3.40.)m 591(@IncludeGraphic)s 2491(and)s
2932(@SysIncludeGraphic)s 240 fnt82 540 8217(These)m 1167(symbols)s 2016(instruct)s
2792(Lout)s 3304(to)s 3543(incorporate)s 4687(a)s 4853(separately)s
5875(created)s 6622(illustration:)s 220 fnt35 480 7716(@IncludeGr)m 2(aphic  "m)k 3(ypor)k -8(tr)k 2(ait.eps")k
240 fnt82 0 7218(The)m 457(parameter)s 1500(is)s 1739(implementation-dependent;)s
4443(in)s 4715(Basser)s 5441(Lout)s 5982(it)s 6203(is)s
6442(an)s 6754(object)s 7427(whose)s 8124(v)s 6(alue)k
8721(is)s 8960(a)s 0 6930(simple)m 705(w)s 2(ord)k
1265(denoting)s 2168(the)s 2528(name)s 3114(of)s 3397(a)s
3575(\207le.)s 4056(This)s 4544(\207le)s 4917(should)s 5626(ideally)s
6342(be)s 6636(a)s 6814(PostScript)s 7868(EPS)s 8338(V)s 26(ersion)k
0 6642(3.0)m 345(\207le)s 696([1)s 870(],)s 1045(since)s
1582(then)s 2040(Lout)s 2542(will)s 2957(k)s 2(eep)k
3450(careful)s 4156(track)s 4684(of)s 4944(what)s 5459(resources)s
6401(are)s 6738(required)s 7581(for)s 7909(printing)s 8708(that)s
0 6354(\207le.)m 473(Ho)s 6(we)k 6(v)k 3(er)k 9(,)k
1437(an)s 3(y)k 1838(PostScript)s 2885(\207le)s 3250(containing)s
4317(the)s 220 fnt35 4669 6351(%%BoundingBo)m 6(x:)k 240 fnt82
6464 6354(comment)m 7418(and)s 7826(not)s 8197(requiring)s 0 6066(unusual)m
800(resources)s 1753(is)s 1963(lik)s 2(ely)k 2559(to)s
2798(w)s 2(ork.)k 480 5692(The)m 924(result)s 1530(of)s
220 fnt35 1817 5689(@IncludeGr)m 2(aphic)k 240 fnt82 3584 5692(is)m
3811(an)s 4110(ordinary)s 4990(Lout)s 5518(object)s 6179(with)s
6677(marks)s 7328(through)s 8146(its)s 8439(centre.)s 0 5404(It)m
202(may)s 665(be)s 944(rotated,)s 1711(scaled,)s 2412(and)s
2813(generally)s 3753(treated)s 4456(lik)s 2(e)k 4865(an)s 3(y)k
5259(other)s 5807(object.)s 6552(Basser)s 7246(Lout)s 7755(determines)s
8850(its)s 0 5116(size)m 434(by)s 735(consulting)s 1792(the)s
2147(bounding)s 3113(box)s 3536(information)s 4728(in)s 4978(the)s
5333(\207le.)s 5809(If)s 6047(this)s 6450(cannot)s 7155(be)s
7444(found,)s 8117(a)s 8291(w)s 2(arning)k 0 4828(message)m
866(is)s 1076(printed)s 1811(and)s 2215(the)s 2563(result)s
3153(object)s 3797(has)s 4167(zero)s 4631(size.)s 220 fnt35
480 4451(@IncludeGr)m 2(aphic)k 240 fnt82 2228 4454(searches)m 3085(the)s
3429(same)s 3973(directories)s 5027(that)s 220 fnt35 5442 4451(@Include)m
240 fnt82 6421 4454(does)m 6907(\(Section)s 7757(3.42\).)s 220 fnt35
8416 4451(@Sys)m 240 fnt82 8998 4454(-)m 220 fnt35 0 4163(IncludeGr)m 2(aphic)k
240 fnt82 1562 4166(is)m 1806(the)s 2188(same)s 2769(as)s
220 fnt35 3053 4163(@IncludeGr)m 2(aphic)k 240 fnt82 4744 4166(,)m
4885(e)s 3(xcept)k 5600(that)s 6052(it)s 6278(searches)s
7172(only)s 7686(the)s 8068(directories)s 0 3878(searched)m 894(by)s
220 fnt35 1188 3875(@SysInclude)m 240 fnt82 2476 3878(.)m 480 3504(If)m
720(the)s 1079(\207le)s 1450(name)s 2035(ends)s 2536(in)s
2789(an)s 3(y)k 3197(of)s 220 fnt35 3478 3501(.gz)m
240 fnt82 3765 3504(,)m 220 fnt35 3883 3501(-gz)m 240 fnt82
4182 3504(,)m 220 fnt35 4300 3501(.z)m 240 fnt82 4465 3504(,)m
220 fnt35 4582 3501(-z)m 240 fnt82 4759 3504(,)m 220 fnt35
4877 3501(_z)m 240 fnt82 5103 3504(,)m 5220(or)s 220 fnt35
5490 3501(.Z)m 240 fnt82 5680 3504(,)m 5798(the)s 6156(\207le)s
6528(will)s 6964(\207rst)s 7406(be)s 7699(uncompressed)s 0 3216(using)m
565(the)s 220 fnt35 906 3213(gunzip)m 240 fnt82 1597 3216(command)m
2592(into)s 3010(a)s 3169(temporary)s 4198(\207le)s 4552(called)s
220 fnt35 5173 3213(lout.eps)m 240 fnt82 5987 3216(in)m 6223(the)s
6564(current)s 7293(directory)s 15(.)k 8297(This)s 8765(\207le)s
0 2928(is)m 210(remo)s 3(v)k 3(ed)k 1099(immediately)s
2347(after)s 2843(it)s 3035(is)s 3245(copied)s 3941(into)s
4366(the)s 4714(output)s 5386(\207le.)s 240 fnt84 0 2135(3.41.)m
591(@Pr)s 4(ependGraphic and @SysPr)k 4(ependGraphic)k 240 fnt82 582 1658(These)m
1252(symbols,)s 2200(which)s 2885(may)s 3394(appear)s 4134(an)s 3(ywhere)k
5160(that)s 5621(a)s 5830(de\207nition)s 6847(or)s 220 fnt35
7149 1655(@Use)m 240 fnt82 7857 1658(symbol)m 8660(may)s 0 1370(appear)m 9(,)k
738(tell)s 1101(Lout)s 1617(to)s 1860(include)s 2624(the)s
2976(contents)s 3828(of)s 4103(a)s 4273(\207le)s 4637(in)s
4884(the)s 5236(preamble)s 6185(of)s 6460(its)s 6740(output.)s
7520(F)s 3(or)k 7913(Basser)s 8614(Lout)s 0 1082(this)m
418(means)s 1102(that)s 1542(the)s 1912(\207le)s 2295(must)s
2843(contain)s 3626(PostScript)s 4690(\(and)s 5195(ideally)s 5921(it)s
6136(w)s 2(ould)k 6813(be)s 3(gin)k 7421(and)s
7847(end)s 8273(with)s 8778(the)s 220 fnt35 0 791(%%BeginResource)m
240 fnt82 1941 794(and)m 220 fnt35 2345 791(%%EndResource)m 240 fnt82
4116 794(comments)m 5150(of)s 5421(DSC)s 5939(3.0\).)s 6482(F)s 3(or)k
6871(e)s 3(xample,)k 220 fnt35 480 293(@SysPrependGr)m 2(aphic { diagf)k 6(.lpg })k

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 68 74
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(68)m 240 fnt83 6081 13843(Chapter)m 6931(3.)s
7205(Pr)s 8(ede\207ned)k 8300(symbols)s 240 fnt82 0 13205(appears)m
818(at)s 1088(the)s 1474(start)s 1981(of)s 2290(the)s
2676(Diag)s 3231(package;)s 4165(the)s 4551(\207le)s 220 fnt35
4949 13202(diagf)m 6(.lpg)k 240 fnt82 5857 13205(contains)m 6743(a)s
6946(number)s 7775(of)s 8084(PostScript)s 0 12917(de\207nitions)m 1048(used)s
1532(by)s 1812(Diag)s 2317(for)s 2642(dra)s 3(wing)k
3462(diagrams.)s 4489(It)s 4680(sa)s 4(v)k 3(es)k
5229(a)s 5382(lot)s 5680(of)s 5938(space)s 6511(to)s
6737(include)s 7484(them)s 8008(just)s 8400(once)s 8894(at)s
0 12629(the)m 334(start)s 789(lik)s 2(e)k 1186(this,)s
1624(rather)s 2225(than)s 2679(with)s 3146(e)s 6(v)k 3(ery)k
3708(diagram.)s 220 fnt35 4640 12626(@PrependGr)m 2(aphic)k 240 fnt82
6498 12629(and)m 220 fnt35 6887 12626(@SysPrependGr)m 2(aphic)k 240 fnt82
0 12341(search)m 667(for)s 1005(the)s 1353(\207le)s 1714(in)s
1957(the)s 2305(same)s 2852(places)s 3500(as)s 220 fnt35
3750 12338(@Include)m 240 fnt82 4732 12341(and)m 220 fnt35 5136 12338(@SysInclude)m
240 fnt82 6484 12341(respecti)m 6(v)k 3(ely)k 15(.)k
240 fnt84 0 11548(3.42.)m 591(@Include and @SysInclude)s 240 fnt82 562 11071(These)m
1212(symbols)s 2083(instruct)s 2882(Lout)s 3417(to)s 3678(temporarily)s
4869(switch)s 5572(to)s 5834(reading)s 6627(another)s 7426(\207le,)s
7861(whose)s 8552(name)s 0 10783(appears)m 781(in)s 1024(braces)s
1685(follo)s 6(wing)k 2662(the)s 3010(symbol.)s 3879(F)s 3(or)k
4268(e)s 3(xample,)k 220 fnt35 480 10282(@Include { "/usr/lout/f)m 6(ontdefs" })k
240 fnt82 0 9788(will)m 434(cause)s 1030(the)s 1386(contents)s
2243(of)s 2522(\207le)s 2892(/usr/lout/fontdefs)s 4596(to)s 4844(be)s
5134(read)s 5612(at)s 5852(the)s 6209(point)s 6769(it)s
6970(occurs.)s 7766(After)s 8338(that)s 8765(\207le)s 0 9500(is)m
214(read,)s 736(the)s 1089(current)s 1829(\207le)s 2194(is)s
2409(resumed.)s 3387(The)s 3819(included)s 4706(\207le)s 5071(may)s
5541(contain)s 6307(arbitrary)s 7186(Lout)s 7702(te)s 3(xt,)k
8169(including)s 0 9212(other)m 220 fnt35 566 9209(@Include)m 240 fnt82
1564 9212(commands.)m 2780(The)s 3224(\207le)s 3600(is)s 3826(searched)s
4735(for)s 5089(\207rst)s 5535(in)s 5794(the)s 6157(current)s
6909(directory)s 15(,)k 7878(then)s 8363(in)s 8621(a)s
8803(se)s 8998(-)s 0 8924(quence)m 732(of)s 1001(standard)s
1866(places)s 2512(which)s 3151(are)s 3496(not)s 3859(necessarily)s
4972(the)s 5318(same)s 5862(places)s 6508(that)s 6923(databases)s
7888(are)s 8232(searched)s 0 8636(for)m 13(.)k 220 fnt35
429 8633(@SysInclude)m 240 fnt82 1777 8636(searches)m 2637(the)s 2985(standard)s
3853(places)s 4501(only)s 15(.)k 240 fnt84 0 7843(3.43.)m
591(@BackEnd)s 1814(and)s 2255(the)s 2629(PlainT)s 22(ext)k
3663(and)s 4104(PDF)s 4623(back)s 5172(ends)s 240 fnt82
547 7411(The)m 220 fnt35 983 7408(@Bac)m 4(kEnd)k 240 fnt82
2136 7411(symbol,)m 2955(which)s 3605(tak)s 2(es)k 4153(no)s
4454(parameters,)s 5615(has)s 5993(for)s 6339(its)s 6623(result)s
7220(a)s 7394(string)s 7999(naming)s 8778(the)s 0 7123(back)m
523(end)s 938(currently)s 1865(in)s 2119(use.)s 2613(Three)s
3237(back)s 3761(ends)s 4262(are)s 4620(a)s 4(v)k 6(ailable,)k
5590(PostScript,)s 6690(PDF)s 7198(and)s 7613(PlainT)s 16(e)k 3(xt.)k
8698(The)s 0 6835(symbol)m 760(is)s 970(generally)s 1913(used)s
2410(lik)s 2(e)k 2822(this:)s 220 fnt35 480 6334(@Bac)m 4(kEnd @Case {)k
480 6046(    PlainT)m 26(e)k 6(xt @Y)k 4(ield { ...)k 13( })k
480 5758(    P)m 11(ostScr)k -3(ipt @Y)k 4(ield { ...)k 13( })k
480 5470(    PDF @Y)m 4(ield { ...)k 13( })k 480 5182(})m 240 fnt82
0 4688(to)m 255(obtain)s 926(dif)s 6(ferent)k 1817(objects)s
2561(depending)s 3628(on)s 3941(the)s 4305(back)s 4834(end.)s
5360(No)s 220 fnt35 5722 4685(else)m 240 fnt82 6192 4688(is)m
6418(required)s 7288(since)s 7851(these)s 8414(are)s 8778(the)s
0 4400(only)m 480(possible)s 1320(v)s 6(alues.)k 480 4026(When)m
1101(a)s 220 fnt35 1259 4023(@Case)m 240 fnt82 2037 4026(symbol)m
2789(has)s 220 fnt35 3151 4023(@Bac)m 4(kEnd)k 240 fnt82
4287 4026(for)m 4617(its)s 4885(left)s 5253(parameter)s 6259(and)s
6655(the)s 6994(left)s 7363(parameter)s 8369(of)s 8631(each)s
220 fnt35 0 3735(@Y)m 4(ield)k 240 fnt82 768 3738(symbol)m
1544(within)s 2228(it)s 2435(consists)s 3259(of)s 3546(a)s
3728(sequence)s 4676(of)s 4963(one)s 5381(or)s 5656(more)s
6218(literal)s 6844(w)s 2(ords)k 7494(\(including)s 220 fnt35
8546 3735(else)m 240 fnt82 8940 3738(\),)m 0 3450(Lout)m 531(will)s
976(optimize)s 1888(by)s 2201(e)s 6(v)k 6(aluating)k
3258(the)s 220 fnt35 3625 3447(@Case)m 240 fnt82 4432 3450(symbol)m
5211(at)s 5463(the)s 5830(time)s 6330(it)s 6541(is)s
6771(read.)s 7365(This)s 7861(optimization)s 0 3162(ensures)m 789(that)s
1228(there)s 1782(is)s 2013(only)s 2514(a)s 2701(small)s
3294(once-only)s 4326(performance)s 5610(penalty)s 6389(for)s 6748(multiple)s
7621(back)s 8155(ends,)s 8722(and)s 0 2874(it)m 206(permits)s
987(these)s 220 fnt35 1548 2871(@Case)m 240 fnt82 2350 2874(symbols)m
3213(\(b)s 4(ut)k 3668(no)s 3976(other)s 4541(symbols\))s
5481(to)s 5734(appear)s 6446(within)s 7128(the)s 7490(object)s
8149(follo)s 6(wing)k 220 fnt35 0 2583(@Include)m 240 fnt82
982 2586(and)m 220 fnt35 1386 2583(@PrependGr)m 2(aphic)k 240 fnt82
3259 2586(symbols.)m 480 2212(The)m 918(PlainT)s 16(e)k 3(xt)k
1899(back)s 2423(end)s 2837(dif)s 6(fers)k 3515(from)s
4050(the)s 4409(PostScript)s 5461(one)s 5874(in)s 6128(tw)s 2(o)k
6548(main)s 7094(respects.)s 8038(First,)s 8593(there)s 0 1924(is)m
226(ef)s 6(fecti)k 6(v)k 3(ely)k 1302(just)s
1724(one)s 2143(font:)s 2711(although)s 3622(all)s 3932(the)s
4297(font)s 4759(commands)s 5864(w)s 2(ork)k 6431(e)s 3(xactly)k
7189(as)s 7456(usual,)s 8085(the)s 3(y)k 8565(don')s 4(t)k
0 1636(actually)m 817(change)s 1558(an)s 3(ything.)k 2565(Each)s
3107(character)s 4049(in)s 4299(this)s 4702(font)s 5155(is)s
5372(tak)s 2(en)k 5953(to)s 6199(be)s 6488(one)s
6898(tenth)s 7440(of)s 7719(one)s 8128(inch)s 8605(wide)s
0 1348(and)m 404(20)s 699(points)s 1335(high.)s 1925(Second,)s
2737(the)s 3085(output)s 3757(is)s 3967(an)s 4250(ordinary)s
5114(te)s 3(xt)k 5529(\207le,)s 5941(not)s 6307(a)s
6473(PostScript)s 7515(\207le.)s 480 974(Clearly)m 15(,)k 1306(with)s
1820(ordinary)s 2716(te)s 3(xt)k 3162(output)s 3866(the)s
4246(possibility)s 5327(of)s 5630(adv)s 6(anced)k 6618(graphics)s
7510(features)s 8348(such)s 8876(as)s 0 686(rotation)m 829(and)s
1262(scaling)s 2022(is)s 2261(curtailed.)s 3290(Ne)s 6(v)k 3(ertheless,)k
4651(all)s 4974(symbols)s 5852(ha)s 4(v)k 3(e)k
6383(well-de\207ned)s 7665(\(possibly)s 8626(null\))s 0 398(ef)m 6(fects)k
706(in)s 976(the)s 1351(PlainT)s 16(e)k 3(xt)k
2348(back)s 2888(end,)s 3368(so)s 3661(there)s 4221(is)s
4457(no)s 4777(additional)s 5815(danger)s 6553(of)s 6851(crashing)s
7741(the)s 8116(system)s 8867(or)s 0 110(obtaining)m 957(grossly)s
1702(unreasonable)s 3020(output)s 3692(by)s 3986(a)s 4152(change)s
4886(to)s 5125(PlainT)s 16(e)k 3(xt.)k 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 69 75
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(3.43.)m 574(@Bac)s 4(kEnd)k 1720(and)s
2146(the)s 2491(PlainT)s 22(e)k 4(xt)k 3458(and)s
3884(PDF)s 4417(bac)s 4(k)k 4929(ends)s 240 fnt84
8832 13840(69)m 240 fnt82 480 13249(The)m 905(PlainT)s 16(e)k 3(xt)k
1872(back)s 2382(end)s 2783(is)s 2990(obtained)s 3869(by)s
4160(the)s 220 fnt35 4505 13246(-p)m 240 fnt82 4749 13249(option)m
5415(to)s 5651(Basser)s 6345(Lout.)s 6958(The)s 7383(character)s
8314(size)s 8737(can)s 0 12961(be)m 282(changed)s 1138(by)s
1432(adding)s 2137(tw)s 2(o)k 2547(lengths)s 3289(to)s
3528(the)s 220 fnt35 3876 12958(-p)m 240 fnt82 4123 12961(option,)m
4842(lik)s 2(e)k 5254(this:)s 220 fnt35 480 12464(lout -p0.1i12p ...)m
240 fnt82 0 11968(which)m 650(in)s 9(v)k 4(ok)k 2(es)k
1439(the)s 1795(PlainT)s 16(e)k 3(xt)k 2773(back)s
3294(end)s 3706(with)s 4196(each)s 4699(character)s 5641(being)s
6234(0.1)s 6577(inches)s 7247(wide)s 7776(and)s 8188(12)s
8490(points)s 0 11680(high.)m 595(Ho)s 6(we)k 6(v)k 3(er)k 9(,)k
1561(e)s 3(xperience)k 2655(suggests)s 3523(that)s 3947(the)s
4301(best)s 4752(approach)s 5691(is)s 5907(to)s 6152(de\207ne)s
6799(all)s 7098(horizontal)s 8128(lengths)s 8876(as)s 0 11392(multiples)m
943(of)s 1218(the)s 220 fnt35 1569 11389(s)m 240 fnt82
1736 11392(unit)m 2171(\(the)s 2602(width)s 3208(of)s 3482(a)s
3652(space,)s 4293(hence)s 4911(the)s 5262(width)s 5868(of)s
6143(all)s 6439(characters\))s 7538(and)s 7945(to)s 8188(de\207ne)s
8833(all)s 0 11104(v)m 3(ertical)k 777(lengths)s 1530(as)s
1791(multiples)s 2742(of)s 3023(the)s 220 fnt35 3382 11101(f)m
240 fnt82 3511 11104(unit)m 3954(\(the)s 4391(font)s 4847(size,)s
5336(equal)s 5920(to)s 6169(the)s 6528(height)s 7197(of)s
7479(e)s 6(v)k 3(ery)k 8066(character\),)s 0 10816(and)m
404(not)s 770(to)s 1009(change)s 1743(the)s 2091(character)s
3025(size)s 3452(in)s 3695(the)s 4043(command)s 5045(line.)s
480 10442(There)m 1098(is)s 1314(a)s 220 fnt35 1486 10439(-P)m
240 fnt82 1762 10442(option)m 2437(which)s 3085(is)s 3301(identical)s
4184(with)s 4671(the)s 220 fnt35 5025 10439(-p)m 240 fnt82
5278 10442(option)m 5953(e)s 3(xcept)k 6640(that)s 7064(it)s
7262(inserts)s 7942(a)s 8114(form-feed)s 0 10154(character)m 934(between)s
1788(each)s 2283(tw)s 2(o)k 2693(components)s 3901(of)s
4172(the)s 4520(output,)s 5239(b)s 4(ut)k 5601(not)s
5967(before)s 6633(the)s 6981(\207rst)s 7412(or)s 7671(after)s
8167(the)s 8515(last.)s 480 9780(The)m 911(PDF)s 1412(back)s
1928(end)s 2336(is)s 2549(obtained)s 3435(by)s 3732(typing)s
220 fnt35 4401 9777(lout -Z)m 240 fnt82 5017 9780(.)m 5185(It)s
5393(is)s 5607(similar)s 6332(to)s 6575(PostScript)s 7620(b)s 4(ut)k
7986(much)s 8579(more)s 0 9492(limited)m 755(in)s 1019(functionality)s 15(.)k
2411(Consult)s 3237(a)s 3425(separate)s 4284(document)s 5309(distrib)s 4(uted)k
6407(with)s 6910(Lout)s 7444(for)s 7803(further)s 8534(infor)s
8998(-)s 0 9204(mation.)m 240 fnt84 0 8461(3.44.)m 591(@V)s 24(erbatim and @RawV)k 24(erbatim)k
240 fnt82 543 8029(These)m 1173(symbols)s 2026(instruct)s 2805(Lout)s
3321(to)s 3563(read)s 4036(the)s 4387(follo)s 6(wing)k
5367(te)s 3(xt)k 5786(\(enclosed)s 6763(in)s 7010(braces\))s
7751(v)s 3(erbatim,)k 8708(that)s 0 7741(is,)m 266(turning)s
1010(of)s 6(f)k 1354(all)s 1647(special)s 2365(character)s
3299(meanings.)s 4380(F)s 3(or)k 4769(e)s 3(xample,)k
220 fnt35 480 7240(@V)m 17(erbatim { "hello" })k 240 fnt82 0 6746(produces)m
480 6243("hello")m 220 fnt35 0 5787(@V)m 17(erbatim)k 240 fnt82
1178 5790(ignores)m 1983(all)s 2325(characters)s 3393(after)s 3938(the)s
4336(opening)s 5210(brace)s 5833(up)s 6175(to)s 6464(b)s 4(ut)k
6875(not)s 7291(including)s 8297(the)s 8695(\207rst)s 0 5502(non-white-space)m
1654(character)s 13(.)k 220 fnt35 2697 5499(@Ra)m 4(wV)k 17(erbatim)k
240 fnt82 4278 5502(dif)m 6(fers)k 4964(from)s 220 fnt35
5506 5499(@V)m 17(erbatim)k 240 fnt82 6653 5502(only)m 7151(in)s
7413(that)s 7849(it)s 8059(ignores)s 8833(all)s 0 5214(characters)m
1018(after)s 1514(the)s 1862(opening)s 2687(brace)s 3261(up)s
3554(to)s 3793(b)s 4(ut)k 4155(not)s 4521(including)s
5479(the)s 5827(\207rst)s 6258(non-white-space)s 7894(character)s 9(,)k
8867(or)s 0 4926(up)m 302(to)s 551(and)s 965(including)s
1931(the)s 2289(\207rst)s 2730(ne)s 6(wline)k 3547(character)s 9(,)k
4528(whiche)s 6(v)k 3(er)k 5585(comes)s 6257(\207rst.)s
6802(This)s 7287(v)s 6(ariant)k 8014(is)s 8234(useful)s
8883(in)s 0 4638(cases)m 555(such)s 1051(as)s 220 fnt35
480 4187(@Ra)m 4(wV)k 17(erbatim {)k 480 3899(     v)m 5(ar x:)k 11( Real)k
480 3611(begin)m 480 3323(})m 240 fnt82 0 2829(where)m 662(the)s
1033(\207rst)s 1486(line)s 1923(of)s 2217(the)s 2587(v)s 3(erbatim)k
3516(te)s 3(xt)k 3954(be)s 3(gins)k 4649(with)s
5154(white)s 5763(space)s 6373(which)s 7038(w)s 2(ould)k
7715(be)s 8020(ignored)s 8832(by)s 220 fnt35 0 2538(@V)m 17(erbatim)k
240 fnt82 1069 2541(.)m 1232(Both)s 1754(symbols)s 2602(ignore)s
3268(all)s 3560(white)s 4146(spaces)s 4820(at)s 5051(the)s
5398(end)s 5801(of)s 6071(the)s 6418(v)s 3(erbatim)k
7323(te)s 3(xt,)k 7784(preceding)s 8778(the)s 0 2253(closing)m
744(brace.)s 240 fnt84 0 1460(3.45.)m 591(@Underline)s 240 fnt82
533 1028(The)m 220 fnt35 953 1025(@Under)m -3(line)k 240 fnt82
2160 1028(symbol)m 2912(underlines)s 3951(its)s 4219(right)s 4722(parameter)s 9(,)k
5767(b)s 4(ut)k 6121(only)s 6593(if)s 6802(that)s
7212(parameter)s 8218(is)s 8420(a)s 8578(w)s 2(ord)k
0 740(or)m 259(a)s 425(paragraph:)s 220 fnt35 480 239(W)m 6(e @Under)k -3(line { really do } mean this)k 3(.)k

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 70 76
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(70)m 240 fnt83 6081 13843(Chapter)m 6931(3.)s
7205(Pr)s 8(ede\207ned)k 8300(symbols)s 240 fnt82 0 13205(produces)m
480 12702(W)m 19(e)k 849(really)s 849 1679 12678 12 ul
1446(do)s 1739(mean)s
2314(this.)s 0 12199(It)m 204(is)s 412(not)s 776(possible)s
1614(to)s 1851(underline)s 2808(an)s 3089(arbitrary)s 3962(object)s
4604(using)s 5174(this)s 5568(symbol;)s 6383(the)s 220 fnt35
6729 12196(@Under)m -3(line)k 240 fnt82 7942 12199(symbol)m 8700(will)s
0 11911(be)m 282(ignored)s 1071(if)s 1288(this)s 1684(is)s
1894(attempted.)s 480 11537(It)m 731(is)s 987(v)s 3(ery)k
1509(easy)s 2034(to)s 240 fnt83 2319 11539(de\207ne)m 240 fnt82
2990 11537(a)m 3202(symbol)s 4008(which)s 4696(will)s 5168(underline)s
6173(an)s 6502(arbitrary)s 7423(object,)s 8160(using)s 8778(the)s
220 fnt35 0 11246(@Gr)m 2(aphic)k 240 fnt82 1045 11249(symbol.)m
1915(This)s 2393(raises)s 2988(the)s 3337(question)s 4207(of)s
4479(wh)s 1(y)k 220 fnt35 4946 11246(@Under)m -3(line)k
240 fnt82 6163 11249(is)m 6374(needed)s 7111(at)s 7345(all.)s
7748(The)s 8177(answer)s 8916(is)s 0 10961(that)m 220 fnt35
418 10958(@Under)m -3(line)k 240 fnt82 1633 10961(has)m 2003(tw)s 2(o)k
2413(properties)s 3419(that)s 3837(distinguish)s 4944(it)s 5136(from)s
5660(symbols)s 6509(based)s 7112(on)s 220 fnt35 7409 10958(@Gr)m 2(aphic)k
240 fnt82 8393 10961(.)m 480 10587(First,)m 1021(when)s 220 fnt35
1594 10584(@Under)m -3(line)k 240 fnt82 2806 10587(both)m 3286(contains)s
4130(a)s 4293(paragraph)s 5303(and)s 5704(is)s 5911(used)s
6404(within)s 7069(a)s 7232(paragraph,)s 8292(as)s 8539(in)s
8778(the)s 0 10299(e)m 3(xample)k 875(abo)s 3(v)k 3(e,)k
1561(the)s 1921(inner)s 2485(and)s 2901(outer)s 3465(paragraphs)s
4577(are)s 4937(mer)s 4(ged)k 5720(into)s 6158(one,)s
6623(permitting)s 7684(the)s 8045(underlined)s 0 10011(te)m 3(xt)k
412(to)s 647(break)s 1236(o)s 3(v)k 3(er)k
1711(se)s 6(v)k 3(eral)k 2430(lines.)s 3041(This)s
3513(is)s 3720(ho)s 6(w)k 4177(the)s 220 fnt35
4522 10008(@F)m 6(ont)k 240 fnt82 5230 10011(symbol)m 5986(w)s 2(orks)k
6617(too,)s 7026(b)s 4(ut)k 7385(symbols)s 8230(based)s
8829(on)s 220 fnt35 0 9720(@Gr)m 2(aphic)k 240 fnt82
1044 9723(do)m 1337(not)s 1703(permit)s 2386(this)s 2782(mer)s 4(ging.)k
480 9349(Second,)m 1292(Adobe)s 1987(font)s 2432(\207les)s 2881(specify)s
3625(the)s 3973(correct)s 4694(position)s 5522(and)s 5926(thickness)s
6867(of)s 7138(underlining)s 8294(for)s 8631(each)s 0 9061(font,)m
501(and)s 914(the)s 220 fnt35 1272 9058(@Under)m -3(line)k
240 fnt82 2496 9061(symbol)m 3266(follo)s 6(ws)k 4037(these)s
4593(speci\207cations.)s 6068(The)s 6505(font)s 6960(used)s 7466(is)s
7685(the)s 8043(font)s 8497(of)s 8778(the)s 0 8773(\207rst)m
431(object)s 1075(underlined,)s 2205(if)s 2422(it)s 2614(is)s
2824(a)s 2990(simple)s 3683(w)s 2(ord,)k 4280(or)s
4539(else)s 4966(the)s 5314(font)s 5759(of)s 6030(the)s
6378(enclosing)s 7348(paragraph.)s 240 fnt84 0 7980(3.46.)m 591(@P)s 2(ageLabel)k
240 fnt82 533 7503(The)m 220 fnt35 953 7500(@P)m 8(ageLabel)k
240 fnt82 2255 7503(symbol)m 3007(associates)s 4005(a)s 4164(page)s
4664(label)s 5176(in)s 5411(the)s 5751(PostScript)s 6786(output)s
7450(\207le)s 7804(with)s 8278(the)s 8618(page)s 0 7215(within)m
688(which)s 1350(\(or)s 1708(just)s 2133(before)s 2819(which\))s
3552(the)s 3920(symbol)s 4700(occurs,)s 5451(so)s 5737(that)s
6175(PostScript)s 7237(vie)s 6(wers)k 8045(are)s 8412(able)s
8887(to)s 0 6927(inde)m 3(x)k 587(the)s 939(page)s
1450(by)s 1748(this)s 2148(label.)s 2779(\(The)s 3290(label)s
3813(is)s 4026(printed)s 4765(in)s 5011(the)s 220 fnt35
5363 6924(%%P)m 8(age)k 240 fnt82 6313 6927(comment)m 7266(preceding)s
8266(the)s 8618(page)s 0 6639(in)m 243(the)s 591(PostScript)s
1633(output)s 2305(\207le.\))s 2858(F)s 3(or)k 3247(e)s 3(xample,)k
220 fnt35 480 6138(@P)m 8(ageLabel iv)k 240 fnt82 0 5639(associates)m
1018(the)s 1379(label)s 220 fnt35 1910 5636(iv)m 240 fnt82
2140 5639(with)m 2634(the)s 2995(page.)s 3623(The)s 4064(label)s
4595(may)s 5074(be)s 5368(an)s 5664(arbitrary)s 6551(object;)s
7260(if)s 7489(its)s 7778(v)s 6(alue)k 8358(is)s
8581(not)s 8960(a)s 0 5351(simple)m 693(w)s 2(ord,)k
1290(it)s 1482(will)s 1908(be)s 2190(replaced)s 3057(by)s
220 fnt35 3351 5348(?)m 240 fnt82 3459 5351(.)m 220 fnt35
480 4974(@P)m 8(ageLabel)k 240 fnt82 1799 4977(is)m 2019(unrelated)s
2977(to)s 3226(Lout')s 13(s)k 3899(cross)s 4451(referencing)s
5602(mechanism;)s 6813(it)s 7016(is)s 7236(for)s 7585(communicating)s
0 4689(a)m 176(label)s 706(to)s 956(the)s 1315(PostScript)s
2368(output)s 3051(\207le,)s 3474(not)s 3851(to)s 4101(other)s
4662(parts)s 5188(of)s 5470(Lout.)s 6097(The)s 6536(result)s
7137(of)s 220 fnt35 7419 4686(@P)m 8(ageLabel)k 240 fnt82
8739 4689(is)m 8960(a)s 0 4401(null)m 427(object.)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 71 77
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Helvetica
%%+ font Symbol
%%+ font Times-Italic
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
480 fnt84 0 12955(Chapter)m 1819(4.)s 2400(Examples)s 240 fnt82
0 12004(This)m 503(chapter)s 1294(presents)s 2156(some)s 2744(e)s 3(xamples)k
3723(tak)s 2(en)k 4324(from)s 4875(the)s 5251(v)s 6(arious)k
6028(packages)s 6983(a)s 4(v)k 6(ailable)k 7919(with)s
8429(Basser)s 0 11716(Lout.)m 661(The)s 1134(reader)s 1835(who)s
2346(masters)s 3171(these)s 3763(e)s 3(xamples)k 4759(will)s
5230(be)s 5557(well)s 6068(prepared)s 7007(to)s 7291(read)s
7805(the)s 8198(packages)s 0 11428(themselv)m 3(es.)k 1223(The)s
1650(e)s 3(xamples)k 2600(ha)s 4(v)k 3(e)k
3100(not)s 3465(been)s 3973(simpli\207ed)s 4986(in)s 5229(an)s 3(y)k
5625(w)s 2(ay)k 15(,)k 6113(since)s 6659(an)s
6941(important)s 7929(part)s 8359(of)s 8629(their)s 0 11140(purpose)m
814(is)s 1024(to)s 1263(sho)s 6(w)k 1817(Lout)s
2329(in)s 2572(actual)s 3197(practice.)s 240 fnt84 0 10347(4.1.)m
471(An)s 833(equation)s 1779(f)s 6(ormatting)k 2930(package)s
240 fnt82 480 9870(In)m 751(this)s 1162(section)s 1911(we)s
2261(describe)s 3128(the)s 3491(design)s 4189(and)s 4608(implementation)s
6180(of)s 6466(the)s 6829(Eq)s 7168(equation)s 8065(formatting)s
0 9582(package.)m 976(Equation)s 1925(formatting)s 3014(mak)s 2(es)k
3702(a)s 3896(natural)s 4642(\207rst)s 5101(e)s 3(xample,)k
6043(partly)s 6682(because)s 7523(its)s 7828(requirements)s 0 9294(ha)m 4(v)k 3(e)k
514(strongly)s 1366(in\210uenced)s 2435(the)s 2797(design)s 3493(of)s
3778(Lout,)s 4351(and)s 4769(partly)s 5394(because)s 6221(no)s
6528(cross)s 7084(references)s 8129(or)s 8402(g)s 1(alle)k 3(ys)k
0 9006(are)m 347(required.)s 480 8632(T)m 19(o)k 777(the)s
1122(author')s 13(s)k 1939(kno)s 6(wledge,)k 3088(Eq)s
3409(is)s 3615(the)s 3960(\207rst)s 4388(equation)s 5265(formatter)s
6209(to)s 6445(be)s 6723(implemented)s 8026(as)s 8273(a)s
8435(collec)s 8998(-)s 0 8344(tion)m 430(of)s 702(high-)s
1196(le)s 6(v)k 3(el)k 1707(de\207nitions.)s 2883(This)s
3360(approach)s 4295(has)s 4666(signi\207cant)s 5724(adv)s 6(antages:)k
6948(the)s 7297(basics)s 7933(of)s 8206(language)s 0 8056(and)m
426(layout)s 1106(are)s 1475(tri)s 6(vial,)k 2167(so)s
2456(the)s 2826(implementor)s 4129(can)s 4540(concentrate)s 5720(on)s
6039(\207ne-)s 6466(tuning;)s 7212(and)s 7638(the)s 8009(de\207nitions,)s
0 7768(being)m 585(readily)s 1302(a)s 4(v)k 6(ailable,)k
2261(can)s 2650(be)s 2932(impro)s 3(v)k 3(ed,)k
3950(e)s 3(xtended,)k 4918(or)s 5177(e)s 6(v)k 3(en)k
5677(replaced.)s 480 7394(As)m 808(described)s 1793(in)s 2048(the)s
2407(User')s 13(s)k 3079(Guide)s 3732([4)s 3925(],)s
4122(an)s 4416(equation)s 5309(is)s 5530(entered)s 6302(in)s
6557(a)s 6734(format)s 7441(based)s 8056(on)s 8364(the)s
8724(one)s 0 7106(introduced)m 1081(by)s 1375(the)s 1723(eqn)s
2126(language)s 3046(of)s 3317(K)s 6(ernighan)k 4378(and)s
4782(Cherry)s 5500([2)s 5693(]:)s 220 fnt35 480 6605(@Eq { { x sup 2  +  y sup 2 }  o)m 3(v)k 5(er  2 })k
240 fnt82 0 6107(The)m 428(result)s 1018(is)s 168 fnt78
586 5702(2)m 240 fnt83 480 5642(x)m 240 fnt78 738 5634(+)m
168 fnt78 1041 5702(2)m 240 fnt83 939 5642(y)m 641 0 0 0 240 288 12 480 5544 LoutGr2
0 0 moveto xsize 0 lineto 0.05 ft setlinewidth stroke
grestore

grestore
240 fnt78
743 5316(2)m 240 fnt82 0 4805(In)m 256(outline,)s 1027(the)s
1375(de\207nition)s 2349(of)s 2620(the)s 220 fnt35 2968 4802(@Eq)m
240 fnt82 3506 4805(symbol)m 4266(is)s 220 fnt35 480 4308(e)m 6(xpor)k -8(t  sup  o)k 3(v)k 5(er "+"  "2"  "<=")k
480 4020(def @Eq)m 480 3732(   body @Body)m 480 3444({)m 480 3156(   def sup precedence 60 left x r)m -3(ight y { ...)k 13( })k
480 2868(   def o)m 3(v)k 5(er precedence 54 left x r)k -3(ight y { ...)k 13( })k
480 2580(   def "2" { Base @F)m 6(ont "2" })k 480 2292(   def "+" { {Symbol Base} @F)m 6(ont "+" })k 480 2004(   def "<=" { {Symbol Base} @F)m 6(ont "\\243" })k
480 1716(   ...)m 480 1140(   Slope @F)m 6(ont 1.2f @Break 0c @Space @Body)k 480 852(})m 192 fnt84
4442 0(71)m 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 72 78
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(72)m 240 fnt83 7017 13843(Chapter)m 7867(4.)s
8141(Examples)s 240 fnt82 0 13205(A)m 259(body)s 822(parameter)s
1865(is)s 2104(used)s 2630(to)s 2898(restrict)s 3649(the)s
4026(visibility)s 4958(of)s 5258(the)s 5635(equation)s 6545(formatting)s
7635(symbols)s 8514(\(there)s 0 12917(are)m 366(hundreds)s 1315(of)s
1606(them\).)s 2347(The)s 2794(equation)s 3695(as)s 3965(a)s
4151(whole)s 4811(is)s 5041(set)s 5386(in)s 5649(Slope)s
6269(\(i.e.)s 6704(Italic\))s 7341(font,)s 7853(and)s 8277(symbols)s
0 12629(such)m 515(as)s 220 fnt35 784 12626("2")m 240 fnt82
1127 12629(and)m 220 fnt35 1550 12626("+")m 240 fnt82 1899 12629(are)m
2265(de\207ned)s 3048(when)s 3643(other)s 4213(fonts)s 4762(are)s
5128(needed.)s 5990(Precedences)s 7241(are)s 7608(used)s 8124(to)s
8383(resolv)s 3(e)k 0 12341(ambiguities)m 1170(such)s 1670(as)s
220 fnt35 1925 12338(a sup b o)m 3(v)k 5(er c)k 240 fnt82
3291 12341(.)m 3459(Eq)s 3788(tak)s 2(es)k 4332(all)s
4630(spacing)s 5418(decisions)s 6363(on)s 6665(itself,)s 7252(so)s
7523(to)s 7766(pre)s 6(v)k 3(ent)k 8539(white)s
0 12053(space)m 574(typed)s 1151(by)s 1432(the)s 1767(user)s
2212(from)s 2723(interfering,)s 3824(the)s 4158(equation)s 5026(is)s
5223(enclosed)s 6105(in)s 220 fnt35 6335 12050(0c @Space)m 240 fnt82
7465 12053(.)m 7616(W)s 19(e)k 7972(will)s 8384(discuss)s
0 11765(the)m 220 fnt35 348 11762(1.2f @Break)m 240 fnt82 1631 11765(later)m 13(.)k
480 11391(Thus)m 1015(ha)s 4(v)k 3(e)k 1521(we)s
1861(disposed)s 2762(of)s 3038(the)s 3391(language)s 4316(design)s
5003(part)s 5439(of)s 5715(the)s 6068(equation)s 6954(formatting)s
8020(problem;)s 8934(it)s 0 11103(remains)m 807(no)s 6(w)k
1268(to)s 1507(de\207ne)s 2148(the)s 2496(twenty)s 3201(or)s
3460(so)s 3726(symbols)s 4575(with)s 5057(parameters,)s 6211(and)s
6615(get)s 6967(the)s 7315(layout)s 7973(right.)s 480 10729(Ev)m 3(ery)k
1115(equation)s 2010(has)s 2393(an)s 240 fnt83 2690 10731(axis)m
240 fnt82 3070 10729(:)m 3250(an)s 3546(imaginary)s 4583(horizontal)s
5620(line)s 6048(through)s 6864(the)s 7225(centre)s 7878(of)s
8163(v)s 6(ariables,)k 0 10441(through)m 795(the)s 1136(bar)s
1494(of)s 1757(b)s 4(uilt-up)k 2556(fractions,)s 3491(and)s
3888(so)s 4146(on.)s 4543(W)s 19(e)k 4905(can)s
5287(satisfy)s 5956(this)s 6345(requirement)s 7552(by)s 7839(ensuring)s
8708(that)s 0 10153(the)m 362(result)s 966(of)s 1251(each)s
1761(symbol)s 2535(has)s 2919(a)s 3100(single)s 3741(ro)s 6(w)k
4175(mark,)s 4788(on)s 5099(the)s 5461(axis.)s 6025(F)s 3(or)k
6428(e)s 3(xample,)k 7356(the)s 7719(superscripting)s 0 9865(symbol)m
760(is)s 970(de\207ned)s 1733(as)s 1983(follo)s 6(ws:)k
220 fnt35 480 9366(def sup)m 480 9078(    precedence 60)m 480 8790(    associativity left)m 480 8502(    left x)m
480 8214(    named gap { @SupGap })m 480 7926(    r)m -3(ight y)k 480 7638({)m 480 7350(    @HContr)m 2(act @VContr)k 2(act {)k
480 7062(        |  @Smaller y)m 480 6774(        ^/gap  x)m 480 6486(    })m 480 6198(})m 240 fnt82
0 5704(The)m 220 fnt35 430 5701(@VContr)m 2(act)k 240 fnt82
1684 5704(and)m 220 fnt35 2091 5701(^/)m 240 fnt82 2320 5704(symbols)m
3171(together)s 4017(ensure)s 4699(that)s 5119(the)s 5470(axis)s
5908(of)s 6181(the)s 6532(result)s 7124(is)s 7336(the)s
7687(axis)s 8125(of)s 8398(the)s 8749(left)s 0 5416(parameter)m 13(.)k
1119(A)s 220 fnt35 1363 5413(gap)m 240 fnt82 1795 5416(parameter)m
2823(has)s 3207(been)s 3730(pro)s 3(vided)k 4650(for)s
5002(v)s 6(arying)k 5794(the)s 6156(height)s 6828(of)s
7113(the)s 7475(superscript,)s 8644(with)s 0 5128(def)m 2(ault)k
709(v)s 6(alue)k 220 fnt35 1265 5125(@SupGap)m 240 fnt82
2393 5128(de\207ned)m 3144(else)s 6(where)k 4137(as)s 220 fnt35
4375 5125(0.40fk)m 240 fnt82 4973 5128(.)m 5124(It)s 5317(is)s
5515(important)s 6492(that)s 6898(such)s 7382(g)s 1(aps)k
7859(be)s 8128(e)s 3(xpressed)k 0 4840(in)m 232(units)s
736(that)s 1142(v)s 6(ary)k 1603(with)s 2073(the)s
2410(font)s 2843(size,)s 3309(so)s 3563(that)s 3969(the)s 3(y)k
4420(remain)s 5129(correct)s 5839(when)s 6403(the)s 6739(size)s
7154(changes.)s 8077(Collecting)s 0 4552(the)m 351(def)s 2(ault)k
1076(v)s 6(alues)k 1735(into)s 2164(symbols)s 3016(lik)s 2(e)k
220 fnt35 3432 4549(@SupGap)m 240 fnt82 4515 4552(ensures)m 5287(consistenc)s 3(y)k
6457(and)s 6865(assists)s 7529(when)s 8109(tuning)s 8778(the)s
0 4264(v)m 6(alues.)k 769(Here)s 1289(is)s 1499(another)s
2276(characteristic)s 3600(de\207nition:)s 220 fnt35 480 3814(def o)m 3(v)k 5(er)k
480 3526(    precedence 54)m 480 3238(    associativity left)m 480 2950(    left x)m 480 2662(    named gap { 0.2f })m 480 2374(    r)m -3(ight y)k
480 2086({)m 480 1798(    @HContr)m 2(act @VContr)k 2(act {)k 480 1510(        |0.5r)m -8(t  @OneCol x)k
480 1222(        ^//gap  @HLine)m 480 934(        //gap  |0.5r)m -8(t @OneCol y)k 480 646(    })m 480 358(})m

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 73 79
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
%%+ font Symbol
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(4.1.)m 454(An)s 774(equation)s 1666(formatting)s
2730(pac)s 4(ka)k 2(g)k 2(e)k 240 fnt84
8833 13840(73)m 240 fnt82 0 13205(Both)m 518(parameters)s 1611(are)s
1953(centred,)s 2758(since)s 3299(we)s 3629(do)s 3917(not)s
4278(kno)s 6(w)k 4853(which)s 5490(will)s 5911(be)s
6188(the)s 6530(wider;)s 7181(we)s 7511(use)s 220 fnt35
7881 13202(@OneCol)m 240 fnt82 8887 13205(to)m 0 12917(mak)m 2(e)k
570(sure)s 1021(that)s 1437(the)s 1782(entire)s 2379(parameter)s
3390(is)s 3598(centred,)s 4405(not)s 4769(just)s 5171(its)s
5445(\207rst)s 5873(column,)s 6696(and)s 220 fnt35 7097 12914(@HContr)m 2(act)k
240 fnt82 8358 12917(ensures)m 0 12629(that)m 428(the)s 787(fraction)s
1597(will)s 2034(ne)s 6(v)k 3(er)k 2627(e)s 3(xpand)k
3385(to)s 3635(\207ll)s 3966(all)s 4269(the)s 4628(a)s 4(v)k 6(ailable)k
5547(space,)s 6196(as)s 6457(Lout)s 6980(objects)s 7719(ha)s 4(v)k 3(e)k
8231(a)s 8408(natural)s 0 12341(tendenc)m 3(y)k 915(to)s
1154(do)s 1447(\(Section)s 2300(2.6\).)s 220 fnt35 2843 12338(@HLine)m
240 fnt82 3690 12341(is)m 3900(a)s 4066(horizontal)s 5090(line)s
5504(of)s 5775(the)s 6123(width)s 6725(of)s 6996(the)s
7344(column:)s 220 fnt35 480 11840(def @HLine)m 480 11552(    named line { "0.05 ft setline)m 4(width" })k
480 11264({  )m 480 10976(    { "0 0 mo)m 3(v)k 5(eto xsiz)k 3(e 0 lineto" line "strok)k 4(e" } @Gr)k 2(aphic {})k
480 10688(})m 240 fnt82 0 10194(Here)m 520(we)s 855(are)s
1202(relying)s 1932(on)s 2229(the)s 2577(e)s 3(xpanding)k
3625(tendenc)s 3(y)k 4540(just)s 4945(mentioned.)s 480 9820(The)m
906(remaining)s 1925(symbols)s 2772(are)s 3116(quite)s 3647(similar)s
4367(to)s 4603(these)s 5148(ones.)s 5748(W)s 19(e)k
6114(conclude)s 7032(with)s 7511(a)s 7675(fe)s 6(w)k
8078(\207ne)s 8490(points)s 0 9532(of)m 271(mathematical)s 1612(typesetting)s
2714(mentioned)s 3782(by)s 4076(a)s 4242(leading)s 4999(authority)s 15(,)k
5954(D.)s 6231(E.)s 6481(Knuth)s 7137([5)s 7322(].)s
480 9158(Some)m 1090(symbols,)s 2004(such)s 2509(as)s 240 fnt78
2768 9152(\243)m 240 fnt82 2963 9158(and)m 240 fnt78 3376 9152(\271)m
240 fnt82 3505 9158(,)m 3621(should)s 4327(ha)s 4(v)k 3(e)k
4837(a)s 5012(thick)s 5560(space)s 6156(on)s 6462(each)s
6966(side;)s 7472(others,)s 8172(such)s 8677(as)s 240 fnt78
8937 9152(+)m 240 fnt82 0 8870(and)m 240 fnt78 397 8864(-)m
240 fnt82 525 8870(,)m 625(ha)s 4(v)k 3(e)k
1119(a)s 1278(medium)s 2115(space;)s 2751(others)s 3379(ha)s 4(v)k 3(e)k
3873(a)s 4032(thin)s 4454(space)s 5034(on)s 5324(the)s
5665(right)s 6169(only)s 15(.)k 6737(This)s 7206(w)s 2(ould)k
7854(be)s 8129(easy)s 8601(to)s 8833(do)s 0 8582(e)m 3(xcept)k
681(that)s 1099(these)s 1646(spaces)s 2321(are)s 2668(not)s
3034(w)s 2(anted)k 3781(in)s 4024(superscripts)s 5216(and)s
5620(subscripts:)s 168 fnt83 578 8135(n)m 168 fnt78 680 8129(+)m
793(1)s 240 fnt83 480 8037(r)m 240 fnt78 931 8029(-)m
1131(1)s 240 fnt82 0 7578(In)m 271(ef)s 6(fect,)k
929(the)s 1292(de\207nition)s 2281(of)s 2568(such)s 3079(symbols)s
3943(changes)s 4780(depending)s 5846(on)s 6159(the)s 6522(conte)s 3(xt;)k
7350(b)s 4(ut)k 7727(Lout)s 8254(does)s 8760(not)s
0 7290(permit)m 682(such)s 1176(a)s 1340(change.)s 2180(Luckily)s 15(,)k
3015(the)s 3361(so-called)s 4279(`style')s 4919(information)s 6102(set)s
6426(by)s 6718(the)s 220 fnt35 7064 7287(@F)m 6(ont)k
240 fnt82 7716 7290(,)m 220 fnt35 7821 7287(@Break)m 240 fnt82
8617 7290(,)m 8722(and)s 220 fnt35 0 6999(@Space)m 240 fnt82
891 7002(symbols)m 1734(can)s 2116(change)s 2844(in)s 3080(this)s
3470(w)s 2(ay)k 15(.)k 4009(Accordingly)s 15(,)k
5291(Eq)s 5608(uses)s 6065(the)s 220 fnt35 6406 6999(y)m
240 fnt82 6568 7002(unit,)m 7040(which)s 7676(is)s 7879(part)s
8304(of)s 8568(style,)s 0 6714(for)m 338(these)s 885(spaces:)s
220 fnt35 480 6213(def @MedGap { 0.20y })m 480 5637(def "+" { &@MedGap plus &@MedGap })m 480 5061(def @HSqueez)m 3(e r)k -3(ight x { 0.2f @YUnit x })k
240 fnt82 0 4562(In)m 261(the)s 615(equation)s 1502(as)s
1758(a)s 1929(whole,)s 2627(the)s 2981(y)s 3161(unit)s
3599(is)s 3814(initially)s 4616(set)s 4947(to)s 220 fnt35
5192 4559(1f)m 240 fnt82 5372 4562(,)m 5484(and)s 5894(so)s
220 fnt35 6166 4559(@MedGap)m 240 fnt82 7289 4562(ordinarily)m 8291(supplies)s
0 4274(20%)m 495(of)s 777(this)s 1184(amount.)s 2077(But)s
2494(superscripts)s 3697(and)s 4112(subscripts)s 5130(are)s 5488(enclosed)s
6394(in)s 6648(the)s 220 fnt35 7007 4271(@HSqueez)m 3(e)k
240 fnt82 8314 4274(symbol,)m 0 3986(which,)m 744(by)s 1091(changing)s
2075(the)s 2476(y)s 2703(unit,)s 3235(ensures)s 4056(that)s
4527(an)s 3(y)k 220 fnt35 4977 3983(@MedGap)m 240 fnt82
6147 3986(within)m 6868(them)s 7459(is)s 7722(much)s 8364(smaller)s
0 3698(than)m 469(usual.)s 240 fnt84 0 2955(4.2.)m 471(P)s 2(aragraphs,)k
1780(displays,)s 2718(and)s 3159(lists)s 240 fnt82 480 2478(The)m
914(remaining)s 1942(sections)s 2770(of)s 3047(this)s 3449(chapter)s
4219(are)s 4572(all)s 4871(based)s 5481(on)s 5784(V)s 26(ersion)k
6578(2)s 6759(of)s 7036(the)s 7391(DocumentLayout)s 0 2190(package.)m
941(V)s 26(ersion)k 1722(3,)s 1942(which)s 2577(is)s
2779(similar)s 3494(b)s 4(ut)k 3849(more)s 4389(elaborate,)s
5364(is)s 5566(described)s 6533(from)s 7050(the)s 7391(user')s 13(s)k
7991(perspecti)s 6(v)k 3(e)k 0 1902(in)m 249(the)s
604(User')s 13(s)k 1272(Guide)s 1920([4)s 2113(].)s
2363(In)s 2625(26)s 2925(pages)s 3528(of)s 3806(Lout,)s
4372(the)s 4726(DocumentLaytout)s 6534(package)s 7381(de\207nes)s 8117(man)s 3(y)k
8707(fea)s 8998(-)s 0 1614(tures)m 506(required)s 1350(in)s
1583(the)s 1921(formatting)s 2972(of)s 3233(simple)s 3916(documents,)s
5050(technical)s 5957(reports,)s 6717(and)s 7111(books,)s 7781(including)s
8728(dis)s 8998(-)s 0 1326(plays,)m 603(lists,)s 1085(page)s
1584(layout,)s 2280(cross)s 2813(references,)s 3891(tables)s 4490(of)s
4752(contents,)s 5647(footnotes,)s 6635(\207gures,)s 7384(tables,)s 8039(references,)s
0 1038(chapters,)m 903(sections,)s 1780(and)s 2184(sorted)s 2826(inde)s 3(x)k 3(es.)k
480 664(The)m 939(symbols)s 1819(used)s 2347(for)s 2716(separating)s
3782(paragraphs)s 4913(and)s 5348(producing)s 6403(displays)s 7269(and)s
7704(lists)s 8170(may)s 8667(lack)s 0 376(the)m 351(e)s 3(xcitement)k
1459(of)s 1733(more)s 2284(e)s 3(xotic)k 2921(features,)s
3786(b)s 4(ut)k 4152(the)s 3(y)k 4618(can)s
5010(teach)s 5574(some)s 6139(important)s 7131(lessons)s 7876(about)s
8472(rob)s 4(ust)k 0 88(design.)m 786(The)s 1211(follo)s 6(wing)k
2185(macro)s 2832(for)s 3167(separating)s 4199(paragraphs)s 5296(produces)s
6207(a)s 6370(0.3)s 6711(cm)s 7060(v)s 3(ertical)k
7824(space)s 8408(and)s 8809(a)s 8971(1)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 74 80
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(74)m 240 fnt83 7017 13843(Chapter)m 7867(4.)s
8141(Examples)s 240 fnt82 0 13205(cm)m 352(indent)s 1010(on)s
1307(the)s 1655(follo)s 6(wing)k 2632(line,)s 3097(and)s
3501(is)s 3711(clearly)s 4414(on)s 4711(the)s 5059(right)s
5570(track:)s 220 fnt35 480 12704(macro  @PP  { //0.3c &1c })m 240 fnt82 0 12210(Ne)m 6(v)k 3(ertheless)k
1276(it)s 1468(has)s 1838(se)s 6(v)k 3(eral)k
2560(major)s 3177(problems.)s 480 11836(The)m 220 fnt35 926 11833(&)m
240 fnt82 1147 11836(symbol)m 1926(is)s 2154(subject)s 2910(to)s
3168(widening)s 4130(during)s 4827(line)s 5260(adjustment,)s 6434(so)s
6719(it)s 6930(should)s 7645(be)s 7946(replaced)s 8832(by)s
220 fnt35 0 11545(1c @Wide {})m 240 fnt82 1213 11548(.)m 1387(But)s
1804(then)s 2284(white)s 2882(space)s 3480(follo)s 6(wing)k
4468(the)s 4827(symbol)s 5597(will)s 6034(af)s 6(fect)k
6641(the)s 7000(result,)s 7648(so)s 7925(an)s 8219(e)s 3(xtra)k
220 fnt35 8764 11545(&0i)m 240 fnt82 0 11260(must)m 528(be)s
814(added.)s 1553(If)s 1787(the)s 2138(document)s 3146(is)s
3359(printed)s 4098(double)s 4810(spaced,)s 5571(this)s 5971(paragraph)s
6987(g)s 1(ap)k 7389(will)s 7818(f)s 2(ail)k
8192(to)s 8435(widen:)s 0 10972(it)m 204(should)s 914(be)s
1208(e)s 3(xpressed)k 2219(in)s 2475(terms)s 3068(of)s
3352(the)s 220 fnt35 3712 10969(v)m 240 fnt82 3894 10972(unit,)m
4386(with)s 4880(mark-to-mark)s 6280(spacing)s 7076(mode.)s 7785(Similarly)s 15(,)k
8778(the)s 0 10684(paragraph)m 1013(indent)s 1671(should)s 2368(probably)s
3273(be)s 3555(made)s 4129(proportional)s 5366(to)s 5605(the)s
5953(font)s 6398(size.)s 480 10310(`Magic)m 1211(numbers')s 2135(lik)s 2(e)k
220 fnt35 2535 10307(0.3c)m 240 fnt82 2993 10310(should)m 3678(not)s
4032(be)s 4302(b)s 4(uried)k 4955(in)s 5186(de\207nitions)s
6235(where)s 6863(the)s 3(y)k 7314(cannot)s 8000(be)s
8270(changed)s 0 10022(easily)m 15(,)k 649(or)s 908(k)s 2(ept)k
1378(consistent)s 2394(with)s 2876(similar)s 3598(de\207nitions)s 4659(during)s
5337(tuning.)s 6113(The)s 3(y)k 6656(are)s 7003(much)s
7592(better)s 8195(placed)s 8876(as)s 0 9734(symbols,)m 905(possibly)s
1757(parameters)s 2855(of)s 3126(the)s 3474(enclosing)s 4444(package:)s
220 fnt35 480 9233(def @DocumentLa)m 6(y)k 4(out)k 480 8945(    named @P)m 8(ar)k 2(aGap { 1.3vx })k
480 8657(    named @P)m 8(ar)k 2(aIndent { 2f })k 480 8369(    ...)m 480 8081(@Begin)m
480 7505(    macro @PP { //@P)m 8(ar)k 2(aGap @P)k 8(ar)k 2(aIndent @Wide &0i })k
480 7217(    macro @LP { //@P)m 8(ar)k 2(aGap })k 480 6929(    ...)m 480 6641(@End @DocumentLa)m 6(y)k 4(out)k
240 fnt82 0 6143(and)m 404(we)s 739(ha)s 4(v)k 3(e)k
1240(arri)s 6(v)k 3(ed)k 1965(at)s 2197(the)s
2545(de\207nition)s 3519(of)s 220 fnt35 3790 6140(@PP)m 240 fnt82
4356 6143(as)m 4606(it)s 4798(appears)s 5579(in)s 5822(the)s
6170(DocumentLayout)s 7905(package.)s 480 5769(A)m 710(display)s 1455(is)s
1665(a)s 1831(table)s 2351(in)s 2594(which)s 3236(the)s
3584(\207rst)s 4015(column)s 4790(is)s 5000(blank:)s 240 fnt83
480 5266(pr)m 8(eceding)k 1483(te)s 4(xt)k 220 fnt35
480 4973(//@DispGap |@DispIndent)m 240 fnt83 3183 4978(display)m 220 fnt35 480 4685(//@DispGap)m
240 fnt83 480 4402(following)m 1438(te)s 4(xt)k 240 fnt82
0 3901(Edge-to-edge)m 1345(is)s 1557(the)s 1906(appropriate)s 3052(spacing)s
3838(mode)s 4427(before)s 5095(and)s 5500(after)s 5998(displays,)s
6891(since)s 7439(the)s 7789(display)s 8536(could)s 0 3613(be)m
273(a)s 430(table)s 941(or)s 1191(\207gure)s 1796(whose)s
2455(mark)s 2998(does)s 3479(not)s 3836(correspond)s 4948(to)s
5178(a)s 5335(baseline.)s 6273(Thus,)s 220 fnt35 6850 3610(1v)m
240 fnt82 7132 3613(is)m 7333(a)s 7490(reasonable)s 8558(v)s 6(alue)k
0 3325(for)m 220 fnt35 338 3322(@DispGap)m 240 fnt82 1406 3325(.)m
480 2951(The)m 957(ordinary)s 1871(user)s 2379(cannot)s 3126(be)s
3458(e)s 3(xpected)k 4413(to)s 4702(type)s 5219(the)s
5617(Lout)s 6179(source)s 6908(sho)s 6(wn)k 7635(abo)s 3(v)k 3(e;)k
8363(a)s 8579(more)s 0 2663(appropriate)m 1144(syntax)s 1824(is)s
240 fnt83 480 2160(pr)m 8(eceding)k 1483(te)s 4(xt)k
220 fnt35 480 1867(@IndentedDispla)m 6(y {)k 240 fnt83 2514 1872(display)m
220 fnt35 3321 1867(})m 240 fnt83 480 1584(following)m 1438(te)s 4(xt)k
240 fnt82 0 1083(This)m 491(presents)s 1340(a)s 1521(problem:)s
2499(if)s 220 fnt35 2731 1080(@IndentedDispla)m 6(y)k 240 fnt82
4593 1083(is)m 4819(made)s 5408(a)s 5589(de\207nition)s 6578(with)s
7075(a)s 7256(right)s 7782(parameter)s 9(,)k 8850(its)s
0 795(result)m 598(will)s 1032(be)s 1322(an)s 1613(object)s
2265(separated)s 3233(from)s 3765(the)s 4121(surrounding)s 5339(te)s 3(xt)k
5762(only)s 6250(by)s 6552(white)s 7147(space,)s 7793(hence)s
8415(part)s 8855(of)s 0 507(the)m 343(paragraph;)s 1405(while)s
1986(if)s 2197(it)s 2383(is)s 2587(a)s 2747(macro,)s
3445(the)s 3787(\207nal)s 220 fnt35 4261 504(//@DispGap)m 240 fnt82
5505 507(cannot)m 6197(be)s 6473(included)s 7349(in)s 7586(it.)s
7876(The)s 8298(solution)s 0 219(adopted)m 816(in)s 1059(the)s
1407(DocumentLayout)s 3142(package)s 3982(uses)s 4445(a)s 4611(g)s 1(alle)k 3(y)k
5245(and)s 5649(a)s 5815(macro:)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 75 81
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(4.2.)m 454(P)s 19(ar)k 3(a)k 2(gr)k 3(aphs,)k
1665(displays,)s 2542(and)s 2968(lists)s 240 fnt84 8833 13840(75)m
220 fnt35 480 13207(    def @DispPlace { @Galle)m 4(y })k 480 12919(    def @Disp into { @DispPlace&&preceding })m 480 12631(        r)m -3(ight x)k
480 12343(    {)m 480 12055(        @OneRo)m 3(w x)k 480 11767(    })m 480 11191(    macro @IndentedDispla)m 6(y)k
480 10903(    {)m 480 10615(        //@DispGap  |@DispIndent  @DispPlace  |)m 480 10327(        //@DispGap  //  @Disp)m 480 10039(    })m 0 9542(@DispPlace)m
240 fnt82 1257 9545(and)m 220 fnt35 1657 9542(@Disp)m 240 fnt82
2366 9545(are)m 2709(not)s 3070(e)s 3(xported,)k 4007(so)s
4269(there)s 4798(is)s 5003(no)s 5292(danger)s 5999(of)s
6266(a)s 6427(name)s 6997(clash)s 7541(with)s 8019(some)s
8575(other)s 0 9257(symbol.)m 869(The)s 1297(ordinary)s 2161(user')s 13(s)k
2769(syntax)s 3449(e)s 3(xpands)k 4282(to)s 240 fnt83
480 8754(pr)m 8(eceding)k 1483(te)s 4(xt)k 220 fnt35
480 8461(//@DispGap  |@DispIndent  @DispPlace  |)m 480 8173(//@DispGap  //  @Disp {)m 240 fnt83 2890 8178(display)m 220 fnt35
3637 8173(})m 240 fnt83 480 7890(following)m 1438(te)s 4(xt)k
240 fnt82 0 7389(and)m 397(the)s 220 fnt35 737 7386(@Disp)m
240 fnt82 1442 7389(g)m 1(alle)k 3(y)k 2068(appears)s
2842(at)s 3066(the)s 3406(preceding)s 220 fnt35 4394 7386(@DispPlace)m
240 fnt82 5595 7389(,)m 5694(being)s 6272(itself)s 6812(replaced)s
7671(by)s 220 fnt35 7957 7386(@Null)m 240 fnt82 8542 7389(.)m
8698(The)s 220 fnt35 0 7098(//)m 240 fnt82 184 7101(symbol)m
942(protects)s 1748(the)s 2094(preceding)s 220 fnt35 3088 7098(//@DispGap)m
240 fnt82 4337 7101(from)m 4859(being)s 5443(deleted)s 6189(by)s
6481(this)s 220 fnt35 6876 7098(@Null)m 240 fnt82 7519 7101(when)m
8094(there)s 8625(is)s 8833(no)s 0 6813(follo)m 6(wing)k
977(te)s 3(xt.)k 480 6439(An)m 858(automatically)s 2240(numbered)s
3283(list)s 3662(could)s 4280(ha)s 4(v)k 3(e)k
4809(an)s 5121(arbitrarily)s 6156(lar)s 4(ge)k 6713(number)s
7532(of)s 7831(items,)s 8483(so,)s 8832(by)s 0 6151(analogy)m
812(with)s 1294(sequences)s 2315(of)s 2586(pages,)s 3238(we)s
3573(see)s 3934(immmediately)s 5368(that)s 5786(recursion)s 6732(must)s
7257(be)s 7539(in)s 9(v)k 4(olv)k 3(ed:)k
220 fnt35 480 5650(def @List r)m -3(ight n)k 2(um)k 480 5362({)m
480 5074(    @DispIndent @Wide n)m 2(um.)k 13(  |  @ItemPlace)k 480 4786(    //@DispGap @List @Ne)m 6(xt n)k 2(um)k
480 4498(})m 240 fnt82 0 4004(Notice)m 689(ho)s 6(w)k
1146(the)s 220 fnt35 1490 4001(@Ne)m 6(xt)k 240 fnt82
2210 4004(symbol)m 2965(w)s 2(orks)k 3595(in)s 3834(conjunction)s
5017(with)s 5495(the)s 5838(recursion)s 6780(to)s 7015(produce)s
7838(an)s 8116(ascending)s 0 3716(sequence)m 933(of)s 1204(numbers;)s
2140(the)s 2488(result)s 3078(of)s 220 fnt35 3349 3713(@List 1)m
240 fnt82 4113 3716(will)m 4539(be)s 220 fnt35 480 3215(1.)m 13(   @ItemPlace)k
480 2927(2.)m 13(   @ItemPlace)k 480 2639(3.)m 13(   @ItemPlace)k 480 2351(...)m
240 fnt82 0 1900(W)m 19(e)k 362(can)s 744(follo)s 6(w)k
1408(this)s 1797(with)s 2271(items)s 2832(which)s 3466(are)s
3806(g)s 1(alle)k 3(ys)k 4522(tar)s 4(geted)k
5338(to)s 220 fnt35 5569 1897(@ItemPlace&&preceding)m 240 fnt82 8010 1900(,)m
8110(and)s 220 fnt35 8506 1897(@List)m 240 fnt82 0 1612(will)m
426(e)s 3(xpand)k 1173(just)s 1578(enough)s 2341(to)s
2580(accommodate)s 3964(them.)s 480 1238(The)m 908(usual)s 1468(problem)s
2325(with)s 2807(recursi)s 6(v)k 3(e-)k 3741(recepti)s 6(v)k 3(e)k
4663(symbols)s 5513(no)s 6(w)k 5974(arises:)s 6683(there)s
7216(is)s 7426(al)s 2(w)k 2(ays)k 8137(one)s
8540(une)s 3(x)k 8998(-)s 0 950(panded)m 220 fnt35
753 947(@List)m 240 fnt82 1313 950(,)m 1424(and)s 1832(until)s
2329(it)s 2525(can)s 2917(be)s 3203(remo)s 3(v)k 3(ed)k
4096(the)s 4448(g)s 1(alle)k 3(y)k 5086(containing)s
6152(it)s 6348(will)s 6778(appear)s 7479(to)s 7722(be)s
8008(incomplete)s 0 662(and)m 394(will)s 810(be)s 1081(pre)s 6(v)k 3(ented)k
2063(at)s 2285(that)s 2692(point)s 3234(from)s 3747(\210ushing)s
4562(into)s 4977(its)s 5242(parent)s 5889(\(see)s 6318(page)s
6816(29\).)s 7289(W)s 19(e)k 7647(adopt)s 8229(the)s
8566(usual)s 0 374(solution:)m 937(a)s 1104(forcing)s 1847(g)s 1(alle)k 3(y)k
2482(into)s 2908(a)s 3074(later)s 3558(tar)s 4(get)k
4158(will)s 4584(replace)s 5330(the)s 5679(last)s 220 fnt35
6070 371(@List)m 240 fnt82 6691 374(by)m 220 fnt35 6986 371(@Null)m
240 fnt82 7571 374(.)m 7735(This)s 8212(brings)s 8862(us)s
0 86(to)m 239(the)s 587(de\207nitions)s 1648(as)s 1898(the)s 3(y)k
2361(appear)s 3058(in)s 3301(DocumentLayout:)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 76 82
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(76)m 240 fnt83 7017 13843(Chapter)m 7867(4.)s
8141(Examples)s 220 fnt35 480 13207(def @ItemPlace { @Galle)m 4(y })k 480 12919(def @ListItem into { @ItemPlace&&preceding })m
480 12631(    r)m -3(ight x)k 480 12343({ x })m 480 11851(def @EndListPlace { @Galle)m 4(y })k
480 11563(def @EndList f)m 6(orce into { @EndListPlace&&preceding })k 480 11275({})m 480 10783(def @Ra)m 4(wIndentedList)k
480 10495(   named style r)m -3(ight tag {})k 480 10207(   named indent { @DispIndent })m 480 9919(   named gap { @DispGap })m 480 9631(   named star)m -8(t { 1 })k
480 9343({)m 480 9055(    def @IList r)m -3(ight n)k 2(um)k 480 8767(    {)m
480 8479(        indent @Wide {style n)m 2(um} | @ItemPlace)k 480 8191(        //gap @IList @Ne)m 6(xt n)k 2(um)k
480 7903(    })m 480 7327(    @IList star)m -8(t  //  @EndListPlace)k 480 7039(})m 240 fnt82
0 6545(No)m 6(w)k 514(gi)s 6(v)k 3(en)k
1094(the)s 1442(input)s 220 fnt35 480 6044(@Ra)m 4(wIndentedList)k
480 5756(@ListItem { \207rst item })m 480 5468(@ListItem { second item })m 480 5180(...)m 480 4892(@ListItem { last item })m 480 4604(@EndList)m
0 4146(@Ra)m 4(wIndentedList)k 240 fnt82 1908 4149(will)m 2334(e)s 3(xpand)k
3081(to)s 3320(recei)s 6(v)k 3(e)k 4056(the)s
4404(items,)s 5028(and)s 5432(will)s 5858(be)s 6140(closed)s
6809(of)s 6(f)k 7153(by)s 220 fnt35 7447 4146(@EndList)m
240 fnt82 8397 4149(.)m 480 3775(The)m 220 fnt35 913 3772(indent)m
240 fnt82 1506 3775(,)m 220 fnt35 1619 3772(gap)m 240 fnt82
1977 3775(,)m 2089(and)s 220 fnt35 2499 3772(star)m -8(t)k
240 fnt82 2996 3775(parameters)m 4099(are)s 4452(straightforw)s 2(ard)k
5986(\(note)s 6538(that)s 6962(the)s 7316(b)s 4(urden)k
8039(of)s 8316(typing)s 220 fnt35 8987 3772(1)m 240 fnt82
0 3487(has)m 378(been)s 895(lifted)s 1464(from)s 1996(the)s
2352(ordinary)s 3224(user\),)s 3816(b)s 4(ut)k 4186(the)s
220 fnt35 4543 3484(style)m 240 fnt82 5054 3487(parameter)m 6076(has)s
6454(a)s 6628(parameter)s 7650(of)s 7929(its)s 8213(o)s 6(wn)k
8686(\(see)s 0 3199(page)m 508(16\).)s 991(It)s 1196(is)s
1406(used)s 1903(lik)s 2(e)k 2315(this:)s 220 fnt35
480 2698(def @Ra)m 4(wNumberedList { @Ra)k 4(wIndentedList style { tag.)k 13( } })k 480 2410(def @Ra)m 4(wP)k 8(arenNumberedList { @Ra)k 4(wIndentedList style { \(tag\) } })k
240 fnt82 0 1911(In)m 220 fnt35 276 1908(@Ra)m 4(wNumberedList)k
240 fnt82 2294 1911(,)m 220 fnt35 2422 1908(style)m 240 fnt82
2946 1911(is)m 3176(gi)s 6(v)k 3(en)k 3777(the)s
4146(v)s 6(alue)k 220 fnt35 4734 1908(tag.)m 240 fnt82
5081 1911(,)m 5209(where)s 220 fnt35 5870 1908(tag)m 240 fnt82
6243 1911(is)m 6474(its)s 6771(o)s 6(wn)k 7255(right)s
7787(parameter)s 9(,)k 8860(so)s 0 1623(the)m 348(v)s 6(alue)k
916(of)s 220 fnt35 1187 1620({style n)m 2(um})k 240 fnt82
2321 1623(within)m 220 fnt35 2989 1620(@IList)m 240 fnt82 3670 1623(is)m
220 fnt35 3880 1620(n)m 2(um.)k 240 fnt82 4347 1623(;)m
4459(while)s 5046(in)s 220 fnt35 5289 1620(@Ra)m 4(wP)k 8(arenNumberedList)k
240 fnt82 7884 1623(,)m 220 fnt35 7992 1620({style n)m 2(um})k
240 fnt82 0 1335(is)m 220 fnt35 219 1332(\(n)m 2(um\))k
240 fnt82 776 1335(.)m 949(In)s 1215(this)s 1620(w)s 2(ay)k
2080(we)s 2425(achie)s 6(v)k 3(e)k 3211(an)s
3503(unlimited)s 4487(v)s 6(ariety)k 5207(of)s 5487(numbering)s
6587(formats)s 7376(without)s 8176(ha)s 4(ving)k 8887(to)s
0 1047(re)m 6(write)k 220 fnt35 725 1044(@Ra)m 4(wIndentedList)k
240 fnt82 2633 1047(o)m 3(v)k 3(er)k 3112(and)s
3516(o)s 3(v)k 3(er)k 13(.)k 480 673(These)m
1113(list)s 1470(symbols)s 2325(are)s 2678(objects)s 3412(without)s
4209(surrounding)s 5425(space,)s 6069(so)s 6341(macros)s 7088(similar)s
7816(to)s 8061(those)s 8629(used)s 0 385(for)m 338(displays)s
1173(are)s 1520(needed:)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 77 83
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(4.2.)m 454(P)s 19(ar)k 3(a)k 2(gr)k 3(aphs,)k
1665(displays,)s 2542(and)s 2968(lists)s 240 fnt84 8831 13840(77)m
220 fnt35 480 13207(macro @NumberedList { //@DispGap @Ra)m 4(wNumberedList //@DispGap })k 480 12919(macro @P)m 8(arenNumberedList { //@DispGap @Ra)k 4(wP)k 8(arenNumberedList //@DispGap })k
240 fnt82 0 12423(and)m 404(so)s 670(on.)s 480 12049(Lists)m
994(numbered)s 2007(by)s 2300(Roman)s 3047(numerals)s 3973(present)s
4721(a)s 4886(problem,)s 5788(because)s 220 fnt35 6600 12046(@Ne)m 6(xt)k
240 fnt82 7322 12049(will)m 7747(not)s 8111(increment)s 0 11761(Roman)m
749(numerals.)s 1789(Instead,)s 2586(the)s 3(y)k 3049(must)s
3574(be)s 3856(stored)s 4498(in)s 4741(a)s 4907(database:)s
220 fnt35 480 11260(def @Roman)m 480 10972(    left @T)m 26(ag)k 480 10684(    r)m -3(ight @V)k 15(al)k
480 10396({ @V)m 15(al })k 480 9820(@SysDatabase @Roman { standard })m 0 9319(@SysDatabase)m 240 fnt82
1602 9322(is)m 1835(preferred)s 2790(o)s 3(v)k 3(er)k
220 fnt35 3292 9319(@Database)m 240 fnt82 4529 9322(here)m 5019(because)s
5855(this)s 6274(database)s 7176(should)s 7896(be)s 8201(k)s 2(ept)k
8694(in)s 8960(a)s 0 9034(standard)m 880(place)s 1452(and)s
1868(shared)s 2562(by)s 2868(e)s 6(v)k 3(eryone.)k
3912(The)s 4352(database)s 5243(itself,)s 5838(a)s 6016(\207le)s
6389(called)s 220 fnt35 7029 9031(standard.ld)m 240 fnt82 8174 9034(in)m
8429(Basser)s 0 8746(Lout,)m 559(contains)s 1407(in)s 9(v)k 4(ocations)k
2548(of)s 220 fnt35 2819 8743(@Roman)m 240 fnt82 3735 8746(,)m
3842(each)s 4337(enclosed)s 5232(in)s 5475(braces:)s 220 fnt35
480 8264({ 1 @Roman i })m 480 7976({ 2 @Roman ii })m 480 7688(...)m 480 7400({ 100 @Roman c })m 240 fnt82
0 6906(Then)m 220 fnt35 549 6903(@Roman&&12)m 240 fnt82 2065 6906(for)m
2403(e)s 3(xample)k 3266(has)s 3636(v)s 6(alue)k
4204(xii,)s 4563(and)s 220 fnt35 480 6405(def @Ra)m 4(wRomanList { @Ra)k 4(wIndentedList style { {@Roman&&tag}.)k 13( } })k
240 fnt82 0 5906(produces)m 922(a)s 1096(list)s 1454(numbered)s
2477(by)s 2779(Roman)s 3535(numerals.)s 4583(The)s 5019(counting)s
5917(still)s 6337(proceeds)s 7246(in)s 7496(Arabic,)s 8261(b)s 4(ut)k
8631(each)s 0 5618(Arabic)m 719(numeral)s 1573(is)s 1799(con)s 9(v)k 3(erted)k
2804(to)s 3059(Roman)s 3824(by)s 4134(the)s 4498(cross)s
5056(reference.)s 6123(Since)s 6726(arbitrary)s 7617(objects)s 8361(may)s
8844(be)s 0 5330(stored)m 642(in)s 885(databases,)s 1908(arbitrary)s
2783(\207nite)s 3330(sequences)s 4351(of)s 4622(objects)s 5350(may)s
5816(be)s 6098(`counted')s 7047(in)s 7290(this)s 7686(w)s 2(ay)k 15(.)k
240 fnt84 0 4538(4.3.)m 471(P)s 2(age)k 1017(lay)s 6(out)k
240 fnt82 480 4061(The)m 921(page)s 1443(layout)s 2115(de\207nitions)s
3190(gi)s 6(v)k 3(en)k 3783(in)s 4040(Section)s
4828(1.2,)s 5249(although)s 6158(correct,)s 6940(are)s 7301(v)s 3(ery)k
7791(basic.)s 8460(In)s 8730(this)s 0 3773(section)m 726(we)s
1053(present)s 1795(the)s 2135(de\207nitions)s 3187(used)s 3676(by)s
3962(the)s 4302(DocumentLayout)s 6029(package)s 6860(for)s 7190(laying)s
7833(out)s 8191(the)s 8530(pages)s 0 3485(of)m 271(books,)s
950(including)s 1906(running)s 2704(page)s 3211(headers)s 3991(and)s
4394(footers,)s 5164(dif)s 6(ferent)k 6038(formats)s 6817(for)s
7155(odd)s 7572(and)s 7975(e)s 6(v)k 3(en)k
8474(pages,)s 0 3197(and)m 404(so)s 670(on.)s 1074(The)s
1502(present)s 2252(document)s 3256(is)s 3466(produced)s 4415(with)s
4897(these)s 5444(de\207nitions.)s 480 2823(W)m 19(e)k 846(be)s 3(gin)k
1429(with)s 1908(a)s 2071(fe)s 6(w)k 2474(de\207nitions)s
3531(which)s 4170(permit)s 4850(the)s 5195(user)s 5650(to)s
5885(create)s 6507(cross)s 7046(references)s 8074(of)s 8342(the)s
8686(`see)s 0 2535(page)m 509(27')s 863(v)s 6(ariety)k
1576(which)s 2220(will)s 2647(be)s 2931(k)s 2(ept)k
3403(up)s 3698(to)s 3938(date)s 4394(automatically)s 15(.)k
5845(The)s 6275(user)s 6734(marks)s 7371(the)s 7721(tar)s 4(get)k
8322(page)s 8832(by)s 0 2247(placing)m 220 fnt35 756 2244(@P)m 8(ageMar)k -3(k intro)k
240 fnt82 2454 2247(,)m 2560(for)s 2897(e)s 3(xample,)k
3810(at)s 4041(the)s 4388(point)s 4939(of)s 5209(interest,)s
6017(and)s 6420(refers)s 7012(to)s 7250(the)s 7597(mark)s 2(ed)k
8369(page)s 8876(as)s 220 fnt35 0 1956(@P)m 8(ageOf intro)k
240 fnt82 1499 1959(else)m 6(where:)k 220 fnt35 480 1459(e)m 6(xpor)k -8(t @T)k 26(ag)k
480 1171(def @P)m 8(ageMar)k -3(k)k 4(er r)k -3(ight @T)k 26(ag { @Null })k
480 674(def @P)m 8(ageMar)k -3(k r)k -3(ight x)k 480 386({)m
480 98(    @P)m 8(ageMar)k -3(k)k 4(er&&preceding @T)k 26(agged x)k

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 78 84
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(78)m 240 fnt83 7017 13843(Chapter)m 7867(4.)s
8141(Examples)s 220 fnt35 480 13210(})m 480 12718(def @P)m 8(ageOf r)k -3(ight x)k
480 12430({)m 480 12142(    @P)m 8(ageMar)k -3(k)k 4(er&&x @Open { @T)k 26(ag })k
480 11854(})m 240 fnt82 0 11360(W)m 19(e)k 385(will)s
828(see)s 1206(belo)s 6(w)k 1856(that)s 2291(an)s
2591(in)s 9(v)k 4(ocation)k 3662(of)s 220 fnt35
3949 11357(@P)m 8(ageMar)k -3(k)k 4(er)k 240 fnt82
5435 11360(appears)m 6233(before)s 6916(each)s 7428(page,)s 8004(with)s
220 fnt35 8503 11357(@T)m 26(ag)k 240 fnt82 0 11072(parameter)m
1014(equal)s 1587(to)s 1826(the)s 2174(page)s 2682(number)s 13(.)k
3564(Suppose)s 4432(that)s 220 fnt35 4850 11069(@P)m 8(ageMar)k -3(k intro)k
240 fnt82 6548 11072(,)m 6655(which)s 7297(e)s 3(xpands)k
8130(to)s 220 fnt35 480 10571(@P)m 8(ageMar)k -3(k)k 4(er&&preceding @T)k 26(agged intro)k
240 fnt82 0 10072(happens)m 855(to)s 1113(f)s 2(all)k
1502(on)s 1819(page)s 2346(27)s 2653(of)s 2944(the)s
3311(\207nal)s 3810(printed)s 4564(document)s 5588(\(of)s 5957(course,)s
6707(its)s 7003(v)s 6(alue)k 7590(is)s 220 fnt35
7819 10069(@Null)m 240 fnt82 8484 10072(which)m 0 9784(mak)m 2(es)k
686(it)s 905(in)s 9(visible\).)k 1988(Then)s 2564(the)s
2939(ef)s 6(fect)k 3561(of)s 220 fnt35 3859 9781(@T)m 26(agged)k
240 fnt82 4874 9784(is)m 5111(to)s 5377(attach)s 220 fnt35
6030 9781(intro)m 240 fnt82 6536 9784(as)m 6812(an)s 7122(e)s 3(xtra)k
7683(tag)s 8054(to)s 8320(the)s 8695(\207rst)s 0 9496(in)m 9(v)k 4(ocation)k
1092(of)s 220 fnt35 1401 9493(@P)m 8(ageMar)k -3(k)k 4(er)k
240 fnt82 2908 9496(preceding)m 3943(that)s 4399(\207nal)s 4917(point,)s
5554(and)s 5997(this)s 6431(must)s 6994(be)s 220 fnt35
7315 9493(@P)m 8(ageMar)k -3(k)k 4(er 27)k 240 fnt82
9022 9496(.)m 0 9208(Therefore)m 997(the)s 1345(e)s 3(xpression)k
220 fnt35 480 8707(@P)m 8(ageMar)k -3(k)k 4(er&&intro @Open { @T)k 26(ag })k
240 fnt82 0 8208(will)m 422(open)s 941(the)s 1285(in)s 9(v)k 4(ocation)k
220 fnt35 2334 8205(@P)m 8(ageMar)k -3(k)k 4(er 27)k
240 fnt82 4097 8208(and)m 4497(yield)s 5028(the)s 5372(v)s 6(alue)k
5936(of)s 6203(its)s 220 fnt35 6474 8205(@T)m 26(ag)k
240 fnt82 7093 8208(parameter)m 9(,)k 8141(27.)s 8540(Thus,)s
220 fnt35 0 7917(@P)m 8(ageOf intro)k 240 fnt82 1499 7920(appearing)m
2495(an)s 3(ywhere)k 3478(in)s 3721(the)s 4069(document)s
5073(yields)s 5695(27.)s 480 7546(Ne)m 3(xt)k 1009(we)s
1351(ha)s 4(v)k 3(e)k 1859(some)s 2427(little)s
2926(de\207nitions)s 3994(for)s 4339(v)s 6(arious)k 5095(parts)s
5617(of)s 5895(the)s 6250(page.)s 220 fnt35 6873 7543(@FullPlace)m
240 fnt82 8055 7546(will)m 8488(be)s 8778(the)s 0 7258(tar)m 4(get)k
599(of)s 870(full-width)s 1882(body)s 2416(te)s 3(xt:)k
220 fnt35 480 6757(def @FullPlace { @Galle)m 4(y })k 0 6256(@ColPlace)m 240 fnt82
1151 6259(will)m 1577(be)s 1859(the)s 2207(tar)s 4(get)k
2806(of)s 3077(body)s 3611(te)s 3(xt)k 4026(within)s
4694(one)s 5096(column:)s 220 fnt35 480 5758(def @ColPlace { @Galle)m 4(y })k
0 5257(@T)m 26(opList)k 240 fnt82 972 5260(will)m 1398(be)s
1680(the)s 2028(tar)s 4(get)k 2627(of)s 2898(\207gures)s
3600(and)s 4004(tables:)s 220 fnt35 480 4759(e)m 6(xpor)k -8(t @T)k 26(ag)k
480 4471(def @T)m 26(opList r)k -3(ight @T)k 26(ag)k 480 4183({)m
480 3895(    @Galle)m 4(y)k 480 3607(    //@T)m 26(opGap @T)k 26(opList @Ne)k 6(xt @T)k 26(ag)k
480 3319(})m 240 fnt82 0 2825(W)m 19(e)k 392(ha)s 4(v)k 3(e)k
916(tak)s 2(en)k 1512(a)s 1702(shortcut)s 2555(here,)s
3096(a)s 4(v)k 4(oiding)k 4002(an)s 4309(unnecessary)s
220 fnt35 5555 2822(@T)m 26(opPlace)k 240 fnt82 6753 2825(symbol.)m
220 fnt35 7645 2822(@F)m 6(ootList)k 240 fnt82 8722 2825(and)m
220 fnt35 0 2534(@F)m 6(ootSect)k 240 fnt82 1142 2537(de\207ne)m
1774(a)s 1931(sequence)s 2854(of)s 3116(full-width)s 4119(tar)s 4(gets)k
4793(at)s 5015(the)s 5354(foot)s 5790(of)s 6052(the)s
6390(page)s 6889(for)s 7218(footnotes,)s 8205(preceded)s 0 2249(by)m
294(a)s 460(short)s 998(horizontal)s 2022(line:)s 220 fnt35
480 1748(e)m 6(xpor)k -8(t @T)k 26(ag)k 480 1460(def @F)m 6(ootList r)k -3(ight @T)k 26(ag)k
480 1172({)m 480 884(    @Galle)m 4(y)k 480 596(    //@F)m 6(ootGap  @F)k 6(ootList @Ne)k 6(xt @T)k 26(ag)k
480 308(})m 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 79 85
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(4.3.)m 454(P)s 19(a)k 2(g)k 2(e)k
976(layout)s 240 fnt84 8832 13840(79)m 220 fnt35 480 13207(def @F)m 6(ootSect)k
480 12919({)m 480 12631(    @F)m 6(ootLen @Wide @HLine)k 480 12343(    //@F)m 6(ootGap  @F)k 6(ootList 1  ||@F)k 6(ootLen)k
480 12055(})m 240 fnt82 0 11561(Similarly)m 15(,)k 220 fnt35
988 11558(@ColF)m 6(ootList)k 240 fnt82 2378 11561(and)m 220 fnt35
2791 11558(@ColF)m 6(ootSect)k 240 fnt82 4279 11561(pro)m 3(vide)k
5072(a)s 5247(sequence)s 6189(of)s 6469(tar)s 4(gets)k
7161(for)s 7508(footnotes)s 8458(within)s 0 11273(one)m 402(column:)s
220 fnt35 480 10822(e)m 6(xpor)k -8(t @T)k 26(ag)k
480 10534(def @ColF)m 6(ootList r)k -3(ight @T)k 26(ag)k 480 10246({)m
480 9958(    @Galle)m 4(y)k 480 9670(    //@F)m 6(ootGap  @ColF)k 6(ootList @Ne)k 6(xt @T)k 26(ag)k
480 9382(})m 480 8806(def @ColF)m 6(ootSect)k 480 8518({)m 480 8230(    @ColF)m 6(ootLen @Wide @HLine)k
480 7942(    //@F)m 6(ootGap  @ColF)k 6(ootList 1  ||@ColF)k 6(ootLen)k 480 7654(})m
240 fnt82 0 7160(The)m 428(ne)s 3(xt)k 897(de\207nition)s
1871(pro)s 3(vides)k 2743(a)s 2909(horizontal)s 3933(sequence)s
4866(of)s 5137(one)s 5539(or)s 5798(more)s 6345(columns:)s
220 fnt35 480 6659(def @ColList r)m -3(ight col)k 480 6371({)m 480 6083(    def @Column)m
480 5795(    {  @VExpand { @ColPlace //1r)m -8(t @OneRo)k 3(w { //@MidGap @ColF)k 6(ootSect } }  })k 480 5219(    col @Case {)m
480 4931(        Single @Y)m 4(ield @Column)k 480 4643(        Doub)m 4(le @Y)k 4(ield { @Doub)k 4(leColWidth @Wide @Column  ||@ColGap  @ColList col })k
480 4355(        Multi  @Y)m 4(ield { @MultiColWidth @Wide @Column  ||@ColGap  @ColList col })k 480 4067(    })m 480 3779(})m 240 fnt82
0 3285(Each)m 537(column)s 1315(consists)s 2125(of)s 2399(a)s
220 fnt35 2568 3282(@ColPlace)m 240 fnt82 3721 3285(at)m 3956(the)s
4307(top)s 4668(and)s 5075(a)s 220 fnt35 5243 3282(@F)m 6(ootSect)k
240 fnt82 6397 3285(at)m 6632(the)s 6982(foot.)s 7534(The)s
220 fnt35 7965 3282(@VExpand)m 240 fnt82 0 2997(symbol)m 772(ensures)s
1553(that)s 1983(whene)s 6(v)k 3(er)k 2977(a)s
3156(column)s 3943(comes)s 4618(into)s 5056(e)s 3(xistence,)k
6061(it)s 6266(will)s 6705(e)s 3(xpand)k 7464(v)s 3(ertically)k
8429(so)s 8708(that)s 0 2709(the)m 360(bottom-justi\207cation)s 220 fnt35
2315 2706(//1r)m -8(t)k 240 fnt82 2769 2709(has)m 3152(as)s
3414(much)s 4016(space)s 4615(as)s 4878(possible)s 5730(to)s
5982(w)s 2(ork)k 6545(within.)s 7333(The)s 220 fnt35
7773 2706(col)m 240 fnt82 8112 2709(parameter)m 0 2421(determines)m 1099(whether)s
1929(the)s 2277(result)s 2867(has)s 3237(a)s 3403(single)s
4030(column,)s 4855(double)s 5563(columns,)s 6481(or)s 6740(multiple)s
7592(columns.)s 480 2047(The)m 220 fnt35 908 2044(@P)m 8(age)k
240 fnt82 1687 2047(symbol)m 2447(places)s 3095(its)s 3371(parameter)s
4385(in)s 4628(a)s 4794(page)s 5302(of)s 5573(\207x)s 3(ed)k
6107(width,)s 6759(height,)s 7464(and)s 7868(mar)s 4(gins:)k
220 fnt35 480 1546(def @P)m 8(age r)k -3(ight x)k 480 1258({)m
480 970(    @P)m 8(ageWidth @Wide @P)k 8(ageHeight @High {)k 480 682(        //@P)m 8(ageMargin  ||@P)k 8(ageMargin)k
480 394(        @HExpand @VExpand x)m 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 80 86
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(80)m 240 fnt83 7017 13843(Chapter)m 7867(4.)s
8141(Examples)s 220 fnt35 480 13207(        ||@P)m 8(ageMargin  //@P)k 8(ageMargin)k
480 12919(    })m 480 12631(})m 0 12134(@HExpand)m 240 fnt82 1169 12137(and)m
220 fnt35 1568 12134(@VExpand)m 240 fnt82 2725 12137(ensure)m 3400(that)s
3814(the)s 4157(right)s 4664(parameter)s 5673(occupies)s 6557(all)s
6845(the)s 7189(a)s 4(v)k 6(ailable)k 8092(space;)s
8730(this)s 0 11849(is)m 218(important)s 1215(when)s 1800(the)s
2156(right)s 2676(parameter)s 3698(is)s 3916(unusually)s 4910(small.)s
5599(The)s 220 fnt35 6036 11846(@High)m 240 fnt82 6763 11849(symbol)m
7531(gi)s 6(v)k 3(es)k 8087(the)s 8443(page)s
8960(a)s 0 11561(single)m 627(ro)s 6(w)k 1047(mark,)s
1645(ensuring)s 2522(that)s 2940(it)s 3132(will)s 3558(be)s
3840(printed)s 4575(on)s 4872(a)s 5038(single)s 5665(sheet)s
6216(of)s 6487(paper)s 7078(\(page)s 7665(29\).)s 480 11187(Ne)m 3(xt)k
1002(we)s 1337(ha)s 4(v)k 3(e)k 220 fnt35
1838 11184(@OneP)m 8(age)k 240 fnt82 2972 11187(,)m 3079(de\207ning)s
3917(a)s 4083(typical)s 4788(page)s 5296(of)s 5567(a)s
5733(book)s 6274(or)s 6533(other)s 7084(document:)s 220 fnt35
480 10686(def @OneP)m 8(age)k 480 10398(    named @Columns {})m 480 10110(    named @P)m 8(ageT)k 26(op {})k
480 9822(    named @P)m 8(ageF)k 6(oot {})k 480 9534({)m 480 9246(    @P)m 8(age {)k
480 8958(        @P)m 8(ageT)k 26(op)k 480 8670(        //@MidGap  @T)m 26(opList)k
480 8382(        //@MidGap  @FullPlace)m 480 8094(        //@MidGap  @ColList @Columns)m 480 7806(        // //1r)m -8(t   @OneRo)k 3(w { //@MidGap @F)k 6(ootSect //@MidGap @P)k 8(ageF)k 6(oot })k
480 7518(    })m 480 7230(})m 240 fnt82 0 6736(The)m 431(page)s
943(top)s 1305(and)s 1713(page)s 2224(foot,)s 2720(and)s
3128(the)s 3479(number)s 4274(of)s 4548(columns,)s 5470(are)s
5821(parameters)s 6922(that)s 7344(will)s 7773(be)s 8059(gi)s 6(v)k 3(en)k
8643(later)s 0 6448(when)m 220 fnt35 565 6445(@OneP)m 8(age)k
240 fnt82 1747 6448(is)m 1946(in)s 9(v)k 4(ok)k 2(ed.)k
2855(The)s 3272(body)s 3794(of)s 4054(the)s 4390(page)s
4887(is)s 5085(a)s 5240(straightforw)s 2(ard)k 6756(combination)s
7998(of)s 8257(pre)s 6(vious)k 0 6160(de\207nitions.)m 1171(The)s
220 fnt35 1595 6157(//)m 240 fnt82 1777 6160(symbol)m 2533(protects)s
3337(the)s 3681(follo)s 6(wing)k 220 fnt35 4655 6157(//1r)m -8(t)k
240 fnt82 5093 6160(from)m 5614(deletion)s 6437(in)s 6677(the)s
7021(unlik)s 2(ely)k 7854(e)s 6(v)k 3(ent)k
8419(that)s 8833(all)s 0 5872(the)m 342(preceding)s 1331(symbols)s
2174(are)s 2514(replaced)s 3375(by)s 220 fnt35 3662 5869(@Null)m
240 fnt82 4247 5872(.)m 4405(The)s 4826(follo)s 6(wing)k
5797(object)s 6434(is)s 6638(enclosed)s 7526(in)s 220 fnt35
7763 5869(@OneRo)m 3(w)k 240 fnt82 8887 5872(to)m 0 5584(ensure)m
680(that)s 1098(all)s 1391(of)s 1662(it)s 1854(is)s
2064(bottom-justi\207ed,)s 3698(not)s 4064(just)s 4469(its)s 4745(\207rst)s
5176(component.)s 480 5210(Before)m 1199(presenting)s 2262(the)s 2624(de\207nition)s
3612(of)s 3896(a)s 4076(sequence)s 5023(of)s 5308(pages,)s
5974(we)s 6322(must)s 6861(detour)s 7546(to)s 7799(describe)s
8665(ho)s 6(w)k 0 4922(running)m 803(page)s 1317(headers)s
2104(and)s 2513(footers)s 3233(\(lik)s 2(e)k 3730(those)s
4297(in)s 4545(the)s 4899(present)s 5655(document\))s 6732(are)s
7085(produced.)s 8146(These)s 8779(are)s 0 4634(based)m 603(on)s
900(the)s 220 fnt35 1248 4631(@Runner)m 240 fnt82 2250 4634(symbol:)m
220 fnt35 480 4133(e)m 6(xpor)k -8(t @T)k 26(opOdd @T)k 26(opEv)k 5(en @F)k 6(ootOdd @F)k 6(ootEv)k 5(en)k
480 3845(def @Runner)m 480 3557(    named @T)m 26(opOdd r)k -3(ight @P)k 8(ageNum { @Null })k
480 3269(    named @T)m 26(opEv)k 5(en r)k -3(ight @P)k 8(ageNum { @Null })k
480 2981(    named @F)m 6(ootOdd r)k -3(ight @P)k 8(ageNum { @Null })k 480 2693(    named @F)m 6(ootEv)k 5(en r)k -3(ight @P)k 8(ageNum { @Null })k
480 2405(    named @T)m 26(ag {})k 480 2117({ @Null })m 240 fnt82 0 1623(The)m
440(four)s 910(parameters)s 2020(control)s 2764(the)s 3125(format)s
3833(of)s 4116(running)s 4926(headers)s 5719(and)s 6136(footers)s
6862(on)s 7171(odd)s 7601(and)s 8017(e)s 6(v)k 3(en)k
8530(pages)s 0 1335(respecti)m 6(v)k 3(ely)k 15(.)k
1294(In)s 9(v)k 4(ocations)k 2448(of)s 220 fnt35
2719 1332(@Runner)m 240 fnt82 3661 1335(,)m 3768(for)s 4106(e)s 3(xample)k
220 fnt35 480 834(@Runner)m 480 546(    @T)m 26(opEv)k 5(en { @B @P)k 8(ageNum |1r)k -8(t @I { Chapter 4 } })k
480 258(    @T)m 26(opOdd  { @I { Examples }   |1r)k -8(t @B @P)k 8(ageNum })k 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 81 87
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(4.3.)m 454(P)s 19(a)k 2(g)k 2(e)k
976(layout)s 240 fnt84 8839 13840(81)m 240 fnt82 0 13205(will)m
416(be)s 687(embedded)s 1719(in)s 1951(the)s 2289(body)s
2812(te)s 3(xt)k 3217(of)s 3477(the)s 3815(document,)s
4855(and,)s 5298(as)s 5537(we)s 5862(will)s 6277(see)s
6628(in)s 6860(a)s 7016(moment,)s 7896(are)s 8232(accessed)s
0 12917(by)m 220 fnt35 296 12914(@Runner&&f)m 6(ollo)k 3(wing)k
240 fnt82 2423 12917(cross)m 2967(references)s 4001(on)s 4301(the)s
4651(pages.)s 5363(Notice)s 6059(ho)s 6(w)k 6522(the)s
220 fnt35 6873 12914(@P)m 8(ageNum)k 240 fnt82 8112 12917(parameter)m
0 12629(of)m 265(each)s 753(parameter)s 1761(allo)s 6(ws)k
2423(the)s 2764(format)s 3454(of)s 3718(the)s 4059(running)s
4851(header)s 5541(to)s 5774(be)s 6049(speci\207ed)s 6950(while)s
7531(lea)s 4(ving)k 8277(the)s 8618(page)s 0 12341(number)m
791(to)s 1030(be)s 1312(substituted)s 2406(later)s 13(.)k
480 11967(W)m 19(e)k 843(may)s 1303(no)s 6(w)k
1758(de\207ne)s 220 fnt35 2393 11964(@OddP)m 8(ageList)k 240 fnt82
3872 11967(,)m 3973(whose)s 4635(result)s 5219(is)s 5423(a)s
5583(sequence)s 6510(of)s 6775(pages)s 7365(be)s 3(ginning)k
8367(with)s 8843(an)s 0 11679(odd-numbered)m 1454(page:)s 220 fnt35
480 11178(def @OddP)m 8(ageList)k 480 10890(    named @Columns {})m 480 10602(    r)m -3(ight @P)k 8(ageNum)k
480 10314({)m 480 10026(    def @Ev)m 5(enP)k 8(ageList ...)k 480 9450(        @P)m 8(ageMar)k -3(k)k 4(er @P)k 8(ageNum)k
480 9162(    //  @Runner&&f)m 6(ollo)k 3(wing @Open {)k 480 8874(            @OneP)m 8(age)k
480 8586(                @Columns { @Columns })m 480 8298(                @P)m 8(ageT)k 26(op { @T)k 26(opOdd @P)k 8(ageNum })k
480 8010(                @P)m 8(ageF)k 6(oot { @F)k 6(ootOdd @P)k 8(ageNum })k
480 7722(        })m 480 7434(    //  @Ev)m 5(enP)k 8(ageList)k 480 7146(            @Columns { @Columns })m
480 6858(            @Ne)m 6(xt @P)k 8(ageNum)k 480 6570(})m 240 fnt82
0 6076(Ignoring)m 220 fnt35 887 6073(@Ev)m 5(enP)k 8(ageList)k
240 fnt82 2516 6076(for)m 2865(the)s 3223(moment,)s 4125(notice)s
4775(\207rst)s 5217(that)s 5645(the)s 6004(in)s 9(v)k 4(ocation)k
7068(of)s 220 fnt35 7350 6073(@OneP)m 8(age)k 240 fnt82
8554 6076(is)m 8775(en)s 8998(-)s 0 5788(closed)m 679(in)s
220 fnt35 932 5785(@Runner&&f)m 6(ollo)k 3(wing @Open)k 240 fnt82
3815 5788(.)m 3989(Since)s 220 fnt35 4586 5785(@Runner&&f)m 6(ollo)k 3(wing)k
240 fnt82 6721 5788(refers)m 7324(to)s 7573(the)s 7931(\207rst)s
8373(in)s 9(v)k 4(oca)k 8998(-)s 0 5500(tion)m
421(of)s 220 fnt35 684 5497(@Runner)m 240 fnt82 1678 5500(appearing)m
2666(after)s 3154(itself)s 3694(in)s 3929(the)s 4269(\207nal)s
4741(printed)s 5468(document,)s 6511(the)s 6851(symbols)s 220 fnt35
7692 5497(@T)m 26(opOdd)k 240 fnt82 8722 5500(and)m 220 fnt35
0 5209(@F)m 6(ootOdd)k 240 fnt82 1127 5212(will)m 1562(tak)s 2(e)k
2023(their)s 2528(v)s 6(alue)k 3105(from)s 3638(the)s
3995(\207rst)s 4434(in)s 9(v)k 4(ocation)k 5497(of)s
220 fnt35 5777 5209(@Runner)m 240 fnt82 6788 5212(follo)m 6(wing)k
7773(the)s 8130(top)s 8498(of)s 8778(the)s 0 4924(page,)m
554(e)s 6(v)k 3(en)k 1049(though)s 220 fnt35
1767 4921(@F)m 6(ootOdd)k 240 fnt82 2880 4924(appears)m 3656(at)s
3883(the)s 4225(foot)s 4665(of)s 4931(the)s 5274(page.)s
5884(Their)s 220 fnt35 6456 4921(@P)m 8(ageNum)k 240 fnt82
7687 4924(parameters)m 8779(are)s 0 4636(replaced)m 867(by)s 220 fnt35
1161 4633(@P)m 8(ageNum)k 240 fnt82 2337 4636(,)m 2444(the)s
2792(actual)s 3417(page)s 3925(number)s 4716(parameter)s 5730(of)s
220 fnt35 6001 4633(@OddP)m 8(ageList)k 240 fnt82 7480 4636(.)m
480 4262(After)m 1043(producing)s 2067(the)s 2415(odd-numbered)s 3869(page,)s
220 fnt35 4428 4259(@OddP)m 8(ageList)k 240 fnt82 5967 4262(in)m 9(v)k 4(ok)k 2(es)k
220 fnt35 6748 4259(@Ev)m 5(enP)k 8(ageList)k 240 fnt82
8307 4262(:)m 220 fnt35 480 3761(def @Ev)m 5(enP)k 8(ageList)k
480 3473(    named @Columns {})m 480 3185(    r)m -3(ight @P)k 8(ageNum)k 480 2897({)m
480 2609(        @P)m 8(ageMar)k -3(k)k 4(er @P)k 8(ageNum)k
480 2321(    //  @Runner&&f)m 6(ollo)k 3(wing @Open {)k 480 2033(            @OneP)m 8(age)k
480 1745(                @Columns { @Columns })m 480 1457(                @P)m 8(ageT)k 26(op { @T)k 26(opEv)k 5(en @P)k 8(ageNum })k
480 1169(                @P)m 8(ageF)k 6(oot { @F)k 6(ootEv)k 5(en @P)k 8(ageNum })k
480 881(        })m 480 593(    //  @OddP)m 8(ageList)k 480 305(            @Columns { @Columns })m 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 82 88
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(82)m 240 fnt83 7017 13843(Chapter)m 7867(4.)s
8141(Examples)s 220 fnt35 480 13207(            @Ne)m 6(xt @P)k 8(ageNum)k
480 12919(})m 240 fnt82 0 12425(This)m 465(produces)s 1369(an)s
1641(e)s 6(v)k 3(en-numbered)k 3167(page,)s 3714(then)s
4172(passes)s 4823(the)s 5160(ball)s 5562(back)s 6063(to)s
220 fnt35 6291 12422(@OddP)m 8(ageList)k 240 fnt82 7819 12425(\211)m
7988(a)s 8142(delightful)s 0 12137(e)m 3(xample)k 877(of)s
1162(what)s 1701(computer)s 2678(scientists)s 3619(call)s 4032(mutual)s
4765(recursion.)s 5832(The)s 6274(tw)s 2(o)k 6699(page)s
7221(types)s 7791(dif)s 6(fer)k 8388(only)s 8883(in)s
0 11849(their)m 497(running)s 1295(headers)s 2076(and)s 2480(footers,)s
3250(b)s 4(ut)k 3612(other)s 4163(changes)s 4985(could)s
5575(easily)s 6186(be)s 6468(made.)s 480 11475(It)m 682(w)s 2(as)k
1099(foreshado)s 6(wed)k 2489(earlier)s 3153(that)s 3568(an)s
3847(in)s 9(v)k 4(ocation)k 4897(of)s 220 fnt35
5164 11472(@P)m 8(ageMar)k -3(k)k 4(er)k 240 fnt82
6630 11475(w)m 2(ould)k 7281(precede)s 8076(each)s 8567(page,)s
0 11187(and)m 412(this)s 817(has)s 1195(been)s 1713(done.)s
2351(Although)s 3322(this)s 220 fnt35 3726 11184(@P)m 8(ageMar)k -3(k)k 4(er)k
240 fnt82 5204 11187(is)m 5422(a)s 5597(component)s 6729(of)s
7009(the)s 7365(root)s 7819(g)s 1(alle)k 3(y)k 15(,)k
8499(it)s 8700(will)s 0 10899(not)m 366(cause)s 953(a)s
1119(page)s 1627(to)s 1866(be)s 2148(printed,)s 2932(because)s
3745(Basser)s 4442(Lout)s 4954(skips)s 5497(components)s 6705(of)s
6976(height)s 7634(zero.)s 240 fnt84 0 10106(4.4.)m 471(Chapters)s
1468(and)s 1909(sections)s 240 fnt82 480 9629(The)m 905(de\207nitions)s
1962(of)s 2229(chapters)s 3073(and)s 3473(sections)s 4290(from)s
4811(the)s 5155(DocumentSetup)s 6746(package)s 7583(of)s 7850(V)s 26(ersion)k
8634(2)s 8804(\(in)s 0 9341(V)m 26(ersion)k 793(3,)s
1026(the)s 1379(BookSetup)s 2503(e)s 3(xtension)k 3480(of)s
3756(DocumentSetup\))s 5432(form)s 5961(the)s 6315(subject)s 7058(of)s
7334(this)s 7736(section.)s 8583(The)s 3(y)k 0 9053(allo)m 6(w)k
579(a)s 745(chapter)s 1508(to)s 1747(be)s 2029(entered)s
2790(lik)s 2(e)k 3202(this:)s 220 fnt35 480 8552(@Chapter)m
480 8264(    @Title { ...)m 13( })k 480 7976(    @T)m 26(ag { ...)k 13( })k
480 7688(@Begin)m 480 7400(    ...)m 480 7112(@End @Chapter)m 240 fnt82 0 6616(W)m 9(ithin)k
712(the)s 1060(chapter)s 1823(a)s 1989(sequence)s 2922(of)s
3193(sections)s 4014(may)s 4480(be)s 4762(included)s 5644(by)s
5938(writing)s 220 fnt35 480 6115(@BeginSections)m 480 5827(@Section { ...)m 13( })k
480 5539(...)m 480 5251(@Section { ...)m 13( })k 480 4963(@EndSections)m 240 fnt82
0 4508(These)m 627(are)s 974(numbered)s 1989(automatically)s 15(,)k
3381(and)s 3785(an)s 4068(entry)s 4613(is)s 4823(made)s
5397(for)s 5735(each)s 6230(in)s 6473(a)s 6639(table)s
7159(of)s 7430(contents.)s 480 4134(The)m 901(user)s 1352(of)s
1615(the)s 1956(DocumentSetup)s 3544(package)s 4376(can)s 4758(\207nd)s
5182(the)s 5522(number)s 6306(of)s 6570(the)s 6910(chapter)s
7666(or)s 7918(section)s 8644(with)s 0 3846(a)m 176(gi)s 6(v)k 3(en)k
766(tag)s 1121(by)s 1426(writing)s 220 fnt35 2179 3843(@NumberOf tag)m
240 fnt82 3838 3846(at)m 4081(an)s 3(y)k 4488(point)s
5050(in)s 5304(the)s 5662(document.)s 6780(This)s 7267(feature)s
7995(is)s 8215(based)s 8829(on)s 0 3558(the)m 348(follo)s 6(wing)k
1325(de\207nitions:)s 220 fnt35 480 3057(e)m 6(xpor)k -8(t @T)k 26(ag)k
480 2769(def @NumberMar)m -3(k)k 4(er r)k -3(ight @T)k 26(ag { @Null })k
480 2193(def @NumberOf r)m -3(ight x)k 480 1905({  @NumberMar)m -3(k)k 4(er&&x @Open { @T)k 26(ag }  })k
240 fnt82 0 1406(Each)m 522(chapter)s 1272(and)s 1663(section)s
2384(will)s 2797(contain)s 3545(one)s 3934(in)s 9(v)k 4(ocation)k
4975(of)s 220 fnt35 5233 1403(@NumberMar)m -3(k)k 4(er)k
240 fnt82 6918 1406(;)m 7017(a)s 7170(full)s 7543(e)s 3(xplanation)k
8700(will)s 0 1118(be)m 282(gi)s 6(v)k 3(en)k
862(later)s 13(.)k 480 744(A)m 710(sequence)s 1643(of)s
1914(places)s 2562(for)s 2900(recei)s 6(ving)k 3836(chapters)s
4683(is)s 4893(easily)s 5504(de\207ned:)s 220 fnt35 480 243(e)m 6(xpor)k -8(t @T)k 26(ag)k

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 83 89
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(4.4.)m 454(Chapter)s 2(s)k 1385(and)s
1811(sections)s 240 fnt84 8833 13840(83)m 220 fnt35 480 13207(def @ChapterList r)m -3(ight @T)k 26(ag)k
480 12919({)m 480 12631(    @Galle)m 4(y)k 480 12343(    //@ChapterGap  @ChapterList @Ne)m 6(xt @T)k 26(ag)k
480 12055(})m 0 11558(@ChapterGap)m 240 fnt82 1505 11561(will)m 1967(usually)s
2747(be)s 220 fnt35 3065 11558(1.1b)m 240 fnt82 3484 11561(,)m
3626(ensuring)s 4539(that)s 4992(each)s 5523(chapter)s 6321(be)s 3(gins)k
7030(on)s 7362(a)s 7564(ne)s 6(w)k 8046(page.)s
8698(The)s 220 fnt35 0 11270(@Chapter)m 240 fnt82 1063 11273(g)m 1(alle)k 3(y)k
1697(itself)s 2245(is)s 2455(de\207ned)s 3218(as)s 3468(follo)s 6(ws:)k
220 fnt35 480 10772(e)m 6(xpor)k -8(t @F)k 6(ootNote @BeginSections @EndSections @Section)k
480 10484(def @Chapter f)m 6(orce into { @ChapterList&&preceding })k 480 10196(    named @T)m 26(ag {})k 480 9908(    named @Title {})m
480 9620(    named @RunningTitle { dft })m 480 9332(    body @Body)m 480 9044({)m 480 8756(    def @F)m 6(ootNote r)k -3(ight x { @ColF)k 6(ootNote x })k
480 8180(    def @BeginSections ...)m 480 7892(    def @EndSections ...)m 480 7604(    def @Section ...)m 480 7151(    def @ChapterTitle)m 480 6863(    {)m
480 6575(        @ChapterNumbers @Case {)m 480 6287(            {Y)m 30(es y)k 4(es}  @Y)k 4(ield  { Chapter {@NumberOf @T)k 26(ag}.)k 13(  |2s  @Title })k
480 5999(            else  @Y)m 4(ield  @Title)k 480 5711(        })m 480 5423(    })m 480 4847(    def @ChapterNum)m
480 4559(    {)m 480 4271(        @ChapterNumbers @Case {)m 480 3983(            {Y)m 30(es y)k 4(es}  @Y)k 4(ield  { Chapter {@NumberOf @T)k 26(ag} })k
480 3695(            else  @Y)m 4(ield @Null)k 480 3407(        })m 480 3119(    })m 480 2627(        r)m 2(agged @Break @BookTitleF)k 6(or)k -5(mat @ChapterTitle)k
480 2339(    //  @NumberMar)m -3(k)k 4(er {)k 480 2051(            @ChapterList&&@T)m 26(ag @Open { @T)k 26(ag })k
480 1763(        })m 480 1475(    //  @ChapterList&&preceding  @T)m 26(agged @T)k 26(ag)k 480 1187(    //  @NumberMar)m -3(k)k 4(er&&preceding @T)k 26(agged @T)k 26(ag)k
480 899(    //  @P)m 8(ageMar)k -3(k)k 4(er&&preceding   @T)k 26(agged @T)k 26(ag)k
480 611(    //  { @ChapterTitle } @MajorContentsEntr)m -6(y {@P)k 8(ageOf @T)k 26(ag})k 480 323(    //  @Runner)m

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 84 90
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(84)m 240 fnt83 7017 13843(Chapter)m 7867(4.)s
8141(Examples)s 220 fnt35 480 13207(            @F)m 6(ootEv)k 5(en { |0.5r)k -8(t 0.8f @F)k 6(ont @B @P)k 8(ageNum })k
480 12919(            @F)m 6(ootOdd  { |0.5r)k -8(t 0.8f @F)k 6(ont @B @P)k 8(ageNum })k
480 12631(    //  @Body)m 480 12343(    //@SectionGap @ChapRefSection)m 480 12055(    //  @Runner)m 480 11767(            @T)m 26(opEv)k 5(en { @B @P)k 8(ageNum |1r)k -8(t @I @ChapterNum })k
480 11479(            @T)m 26(opOdd  { @I {@RunningTitle @OrElse @Title} |1r)k -8(t @B @P)k 8(ageNum })k 480 11191(})m
240 fnt82 0 10697(W)m 19(e)k 371(will)s 800(see)s
1164(the)s 1515(symbols)s 2366(for)s 2707(sections)s 3531(shortly)s 15(.)k
4347(Notice)s 5042(ho)s 6(w)k 5506(their)s 6006(use)s
6384(has)s 6756(been)s 7268(restricted)s 8216(to)s 8458(within)s
0 10409(the)m 348(right)s 859(parameter)s 1873(of)s 220 fnt35
2144 10406(@Chapter)m 240 fnt82 3147 10409(,)m 3254(by)s 3548(nesting)s
4292(them)s 4830(and)s 5234(using)s 5806(a)s 5972(body)s
6506(parameter)s 13(.)k 480 10035(The)m 956(meaning)s 1882(of)s
220 fnt35 2202 10032(@F)m 6(ootNote)k 240 fnt82 3422 10035(within)m
220 fnt35 4139 10032(@Chapter)m 240 fnt82 5250 10035(has)m 5669(been)s
6227(set)s 6601(to)s 220 fnt35 6889 10032(@ColF)m 6(ootNote)k
240 fnt82 8328 10035(,)m 8484(which)s 0 9747(produces)m 907(a)s
1064(footnote)s 1908(tar)s 4(geted)k 2722(to)s 220 fnt35
2953 9744(@ColF)m 6(ootList)k 240 fnt82 4325 9747(\(see)m 4756(Section)s
5521(4.3\).)s 6056(In)s 6303(other)s 6845(w)s 2(ords,)k
7526(footnotes)s 8458(within)s 0 9459(chapters)m 851(go)s 1149(at)s
1386(the)s 1739(foot)s 2189(of)s 2465(the)s 2818(column,)s
3648(not)s 4019(at)s 4256(the)s 4609(foot)s 5059(of)s
5335(the)s 5688(page.)s 6309(\(Of)s 6717(course,)s 7453(in)s
7701(single-column)s 0 9171(books)m 623(this)s 1018(distinction)s 2083(is)s
2292(insigni\207cant.\))s 220 fnt35 3721 9168(@ChapterTitle)m 240 fnt82 5188 9171(and)m
220 fnt35 5591 9168(@ChapterNum)m 240 fnt82 7102 9171(are)m 7448(tri)s 6(vial)k
8065(de\207nitions)s 0 8883(which)m 642(v)s 6(ary)k 1115(depending)s
2166(on)s 2463(whether)s 3293(the)s 3641(user)s 4099(has)s
4469(requested)s 5443(numbered)s 6458(chapters)s 7305(or)s 7564(not.)s
480 8509(Each)m 1014(in)s 9(v)k 4(ocation)k 2066(of)s
220 fnt35 2336 8506(@Chapter)m 240 fnt82 3397 8509(has)m 3766(its)s
4040(o)s 6(wn)k 4503(unique)s 220 fnt35 5209 8506(@T)m 26(ag)k
240 fnt82 5772 8509(,)m 5878(either)s 6479(supplied)s 7347(by)s
7639(the)s 7986(user)s 8442(or)s 8699(else)s 0 8221(inserted)m
835(automatically)s 2210(by)s 2525(Lout.)s 3162(W)s 19(e)k
3553(no)s 6(w)k 4035(trace)s 4575(the)s 4944(cross)s
5507(referencing)s 6669(of)s 6961(chapter)s 7745(numbers)s 8641(on)s
8960(a)s 0 7933(h)m 1(ypothetical)k 1236(third)s 1745(chapter)s
2508(whose)s 3176(tag)s 3521(is)s 220 fnt35 3731 7930(euclid)m
240 fnt82 4291 7933(.)m 220 fnt35 480 7556(@ChapterList&&preceding @T)m 26(agged euclid)k
240 fnt82 4758 7559(attaches)m 220 fnt35 5574 7556(euclid)m 240 fnt82
6190 7559(as)m 6436(an)s 6715(e)s 3(xtra)k 7245(tag)s
7586(to)s 7821(the)s 8165(\207rst)s 8592(in)s 9(v)k 4(o)k
8998(-)s 0 7271(cation)m 653(of)s 220 fnt35 937 7268(@ChapterList)m
240 fnt82 2350 7271(preceding)m 3359(itself)s 3920(in)s 4176(the)s
4536(\207nal)s 5029(printed)s 5777(document.)s 6898(But)s 7317(this)s
220 fnt35 7726 7268(@ChapterList)m 240 fnt82 0 6983(must)m 525(be)s
807(the)s 1155(tar)s 4(get)k 1754(of)s 2025(the)s
2373(chapter)s 9(,)k 3174(and)s 3578(so)s 220 fnt35
480 6482(@ChapterList&&euclid @Open { @T)m 26(ag })k 240 fnt82 0 5983(is)m 200(3,)s
416(the)s 754(number)s 1534(of)s 1795(the)s 2132(chapter)s
2885(\()s 220 fnt35 2958 5980(@T)m 26(ag)k 240 fnt82
3570 5983(refers)m 4153(to)s 4381(the)s 4719(parameter)s 5722(of)s
220 fnt35 5983 5980(@ChapterList)m 240 fnt82 7323 5983(,)m 7419(not)s
7775(the)s 8112(parameter)s 0 5695(of)m 220 fnt35 272 5692(@Chapter)m
240 fnt82 1275 5695(\).)m 1520(Consequently)s 2892(the)s 3242(in)s 9(v)k 4(ocation)k
4297(of)s 220 fnt35 4570 5692(@NumberMar)m -3(k)k 4(er)k
240 fnt82 6317 5695(within)m 6986(the)s 7336(chapter)s 8100(is)s
8312(equal)s 8887(to)s 220 fnt35 0 5404(@NumberMar)m -3(k)k 4(er 3)k
240 fnt82 1861 5407(.)m 220 fnt35 480 5030(@NumberMar)m -3(k)k 4(er&&preceding @T)k 26(agged euclid)k
240 fnt82 5137 5033(attaches)m 220 fnt35 5992 5030(euclid)m 240 fnt82
6646 5033(to)m 220 fnt35 6920 5030(@NumberMar)m -3(k)k 4(er 3)k
240 fnt82 8876 5033(as)m 0 4745(an)m 283(e)s 3(xtra)k
817(tag,)s 1216(and)s 1620(so)s 220 fnt35 1886 4742(@NumberOf euclid)m
240 fnt82 3742 4745(,)m 3849(which)s 4491(e)s 3(xpands)k
5324(to)s 220 fnt35 480 4244(@NumberMar)m -3(k)k 4(er&&euclid @Open { @T)k 26(ag })k
240 fnt82 0 3745(must)m 538(be)s 833(equal)s 1419(to)s
1671(3,)s 1911(as)s 2175(required.)s 3148(This)s 3637(scheme)s
4423(could)s 5026(be)s 5322(simpli\207ed)s 6349(by)s 6656(placing)s
7426(the)s 7787(in)s 9(v)k 4(ocation)k 8855(of)s
220 fnt35 0 3454(@NumberMar)m -3(k)k 4(er)k 240 fnt82
1758 3457(within)m 220 fnt35 2440 3454(@ChapterList)m 240 fnt82 3854 3457(rather)m
4484(than)s 4966(within)s 220 fnt35 5648 3454(@Chapter)m 240 fnt82
6651 3457(,)m 6772(b)s 4(ut)k 7148(it)s 7353(turns)s
7896(out)s 8276(that)s 8708(that)s 0 3169(scheme)m 773(does)s
1263(not)s 1629(generalize)s 2666(well)s 3132(to)s 3371(sections)s
4192(and)s 4596(subsections.)s 480 2795(There)m 1124(is)s 1365(a)s
1562(trap)s 2017(for)s 2386(the)s 2765(unw)s 2(ary)k
3566(in)s 3840(the)s 4219(use)s 4625(of)s 220 fnt35
4927 2792(preceding)m 240 fnt82 5969 2795(and)m 220 fnt35 6404 2792(f)m 6(ollo)k 3(wing)k
240 fnt82 7234 2795(.)m 7429(Suppose)s 8328(that)s 8778(the)s
0 2507(in)m 9(v)k 4(ocation)k 1054(of)s 220 fnt35
1325 2504(@NumberMar)m -3(k)k 4(er)k 240 fnt82 3070 2507(within)m
220 fnt35 3738 2504(@Chapter)m 240 fnt82 4801 2507(is)m 5011(replaced)s
5878(by)s 6172(the)s 6520(seemingly)s 7557(equi)s 6(v)k 6(alent)k
220 fnt35 480 2006(@NumberMar)m -3(k)k 4(er { @ChapterList&&preceding @Open { @T)k 26(ag } })k
240 fnt82 0 1507(No)m 6(w)k 514(suppose)s 1342(that)s
220 fnt35 1760 1504(@NumberOf euclid)m 240 fnt82 3676 1507(appears)m 4457(some)s 6(where)k
5596(within)s 6264(Chapter)s 7081(7.)s 7365(It)s 7570(will)s
7996(e)s 3(xpand)k 8743(to)s 220 fnt35 480 1006(@NumberMar)m -3(k)k 4(er&&euclid @Open { @T)k 26(ag })k
240 fnt82 0 507(which)m 642(w)s 2(ould)k 1297(no)s 6(w)k
1758(be)s 2040(equal)s 2613(to)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 85 91
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(4.4.)m 454(Chapter)s 2(s)k 1385(and)s
1811(sections)s 240 fnt84 8833 13840(85)m 220 fnt35 480 13207(@ChapterList&&preceding @Open { @T)m 26(ag })k
240 fnt82 0 12708(whose)m 663(v)s 6(alue,)k 1276(e)s 6(v)k 6(aluated)k
2233(as)s 2477(it)s 2663(is)s 2868(within)s 3530(Chapter)s
4342(7,)s 4563(is)s 4767(7,)s 4989(not)s 5349(3.)s
5628(Use)s 6050(of)s 220 fnt35 6315 12705(preceding)m 240 fnt82
7321 12708(or)m 220 fnt35 7574 12705(f)m 6(ollo)k 3(wing)k
240 fnt82 8458 12708(within)m 0 12420(the)m 348(parameter)s 1362(of)s
1633(a)s 1799(symbol,)s 2611(rather)s 3227(than)s 3696(within)s
4364(the)s 4712(body)s 15(,)k 5284(is)s 5494(lik)s 2(ely)k
6090(to)s 6329(be)s 6611(erroneous.)s 480 12046(Much)m 1112(of)s
1400(the)s 1765(remainder)s 2810(of)s 3098(the)s 3463(de\207nition)s
4454(of)s 220 fnt35 4742 12043(@Chapter)m 240 fnt82 5822 12046(is)m
6049(f)s 2(airly)k 6634(self-e)s 3(xplanatory:)k 8366(there)s
8916(is)s 0 11758(a)m 180(heading,)s 1060(a)s 1241(tag)s
1601(sent)s 2060(to)s 2314(mark)s 2881(the)s 3244(page)s
3766(on)s 4078(which)s 4735(the)s 5098(chapter)s 5875(be)s 3(gins,)k
6619(a)s 220 fnt35 6800 11755(@ContentsEntr)m -6(y)k 240 fnt82
8492 11758(g)m 1(alle)k 3(y)k 0 11470(sent)m 484(to)s
762(the)s 1149(table)s 1708(of)s 2018(contents,)s 2961(g)s 1(alle)k 3(ys)k
3724(for)s 4101(the)s 4489(\207gures)s 5230(and)s 5673(tables)s
6320(of)s 6630(the)s 7017(chapter)s 7819(to)s 8097(collect)s
8833(in,)s 220 fnt35 0 11179(@Body)m 240 fnt82 781 11182(where)m
1421(the)s 1769(body)s 2303(of)s 2574(the)s 2922(chapter)s
3685(goes,)s 4230(and)s 220 fnt35 4634 11179(@ChapRefSection)m 240 fnt82
6499 11182(to)m 6738(hold)s 7222(a)s 7388(concluding)s 8505(list)s
8855(of)s 0 10894(references.)m 1144(This)s 1620(lea)s 4(v)k 3(es)k
2261(only)s 2741(the)s 3089(tw)s 2(o)k 3499(in)s 9(v)k 4(ocations)k
4640(of)s 220 fnt35 4911 10891(@Runner)m 240 fnt82 5913 10894(to)m
6152(e)s 3(xplain.)k 480 10520(The)m 977(\207rst)s 220 fnt35
1478 10517(@Runner)m 240 fnt82 2550 10520(is)m 2830(just)s 3305(belo)s 6(w)k
4008(the)s 4426(heading.)s 5418(It)s 5693(will)s 6189(be)s
6541(the)s 6959(tar)s 4(get)k 7628(of)s 7969(the)s
220 fnt35 8387 10517(@Run)m 240 fnt82 8998 10520(-)m 220 fnt35
0 10229(ner&&f)m 6(ollo)k 3(wing)k 240 fnt82 1494 10232(cross)m
2030(reference)s 2967(at)s 3194(the)s 3536(be)s 3(ginning)k
4538(of)s 4803(the)s 5146(\207rst)s 5571(page)s 6073(of)s
6338(the)s 6681(chapter)s 7438(\(see)s 7872(Section)s 8640(4.3\),)s
0 9944(which)m 642(consequently)s 1959(will)s 2385(ha)s 4(v)k 3(e)k
2886(null)s 3313(running)s 4111(headers)s 4892(and)s 5296(the)s
5644(gi)s 6(v)k 3(en)k 6224(footers.)s 480 9570(The)m
954(second)s 220 fnt35 1724 9567(@Runner)m 240 fnt82 2772 9570(appears)m
3600(at)s 3878(the)s 4273(v)s 3(ery)k 4795(end)s
5246(of)s 5563(the)s 5958(chapter)s 9(,)k 6805(hence)s
7466(on)s 7809(its)s 8132(last)s 8570(page.)s 0 9282(Since)m
595(no)s 896(in)s 9(v)k 4(ocations)k 2046(of)s
220 fnt35 2325 9279(@Runner)m 240 fnt82 3335 9282(lie)m 3638(between)s
4500(it)s 4700(and)s 5113(the)s 5469(\207rst)s 220 fnt35
5908 9279(@Runner)m 240 fnt82 6850 9282(,)m 6966(it)s 7166(will)s
7600(be)s 7891(the)s 8247(tar)s 4(get)k 8855(of)s
220 fnt35 0 8991(@Runner&&f)m 6(ollo)k 3(wing)k 240 fnt82
2134 8994(on)m 2442(e)s 6(v)k 3(ery)k 3029(page)s
3547(from)s 4082(the)s 4441(second)s 5175(page)s 5693(of)s
5975(the)s 6334(chapter)s 7107(to)s 7357(the)s 7716(last,)s
8165(inclusi)s 6(v)k 3(e,)k 0 8706(and)m 404(will)s
830(supply)s 1523(the)s 1871(format)s 2567(of)s 2838(their)s
3335(headers)s 4116(and)s 4520(footers.)s 480 8332(The)m 908(interested)s
1893(reader)s 2549(might)s 3166(care)s 3618(to)s 3857(predict)s
4579(the)s 4927(outcome)s 5806(in)s 6048(unusual)s 6848(cases,)s
7458(such)s 7954(as)s 8203(when)s 8778(the)s 0 8044(heading)m
811(occupies)s 1699(tw)s 2(o)k 2109(pages,)s 2761(or)s
3020(when)s 3596(a)s 3762(chapter)s 4524(occupies)s 5412(only)s
5892(one,)s 6345(or)s 6604(\(assuming)s 7640(a)s 7806(change)s
8540(to)s 8778(the)s 0 7756(g)m 1(ap)k 386(between)s
1227(chapters\))s 2138(when)s 2702(a)s 2855(chapter)s 3605(starts)s
4146(halfw)s 2(ay)k 4956(do)s 6(wn)k 5527(a)s
5680(page.)s 6283(Such)s 6807(predictions)s 7907(can)s 8283(be)s
8552(made)s 0 7468(with)m 482(great)s 1019(con\207dence.)s 480 7094(The)m
903(e)s 3(xpression)k 220 fnt35 1975 7091(@RunningTitle @OrElse @Title)m 240 fnt82
5125 7094(appearing)m 6116(in)s 6354(the)s 6697(second)s 220 fnt35
7415 7091(@Runner)m 240 fnt82 8412 7094(returns)m 0 6806(the)m 354(v)s 6(alue)k
928(of)s 1205(the)s 220 fnt35 1560 6803(@RunningTitle)m 240 fnt82
3070 6806(parameter)m 4090(of)s 220 fnt35 4368 6803(@Chapter)m 240 fnt82
5437 6806(if)m 5660(this)s 6063(is)s 6279(not)s 6651(equal)s
7231(to)s 7476(the)s 7830(def)s 2(ault)k 8558(v)s 6(alue)k
220 fnt35 0 6515(dft)m 240 fnt82 240 6518(,)m 347(or)s
220 fnt35 606 6515(@Title)m 240 fnt82 1294 6518(otherwise:)m 220 fnt35
480 6036(def @OrElse)m 480 5748(    left x)m 480 5460(    r)m -3(ight y)k 480 5172({)m
480 4884(    x @Case {)m 480 4596(        dft  @Y)m 4(ield  y)k 480 4308(        else  @Y)m 4(ield  x)k
480 4020(    })m 480 3732(})m 240 fnt82 0 3238(This)m 476(produces)s
1391(the)s 1739(ef)s 6(fect)k 2335(of)s 220 fnt35
480 2737(named  @RunningTitle  {  @Title  })m 240 fnt82 0 2238(which)m 676(unfortunately)s 2052(is)s
2296(not)s 2696(permissible)s 3887(as)s 4171(it)s 4397(stands,)s
5136(because)s 220 fnt35 5983 2235(@Title)m 240 fnt82 6705 2238(is)m
6949(not)s 7349(visible)s 8076(within)s 8778(the)s 0 1950(def)m 2(ault)k
721(v)s 6(alue)k 1289(of)s 220 fnt35 1560 1947(@RunningTitle)m
240 fnt82 3004 1950(.)m 480 1576(Finally)m 15(,)k 1249(the)s
1597(de\207nitions)s 2658(for)s 2996(sections)s 3817(omitted)s 4605(earlier)s
5273(are)s 5620(as)s 5870(follo)s 6(ws:)k 220 fnt35
480 1075(def @EndSectionsPlace { @Galle)m 4(y })k 480 787(def @EndSections f)m 6(orce into { @EndSectionsPlace&&preceding } {})k 480 499(macro @BeginSections { //@SectionGap @SectionList 1 // @EndSectionsPlace // })m

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 86 92
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(86)m 240 fnt83 7017 13843(Chapter)m 7867(4.)s
8141(Examples)s 220 fnt35 480 13207(def @Section f)m 6(orce into { @SectionList&&preceding })k 480 12919(    named @T)m 26(ag {})k
480 12631(    named @Title {})m 480 12343(    named @RunningTitle { dft })m 480 12055(    body @Body)m 480 11767({)m 480 11479(    def @SectionTitle)m
480 11191(    {)m 480 10903(        @SectionNumbers @Case {)m 480 10615(            {Y)m 30(es y)k 4(es} @Y)k 4(ield { {@NumberOf @T)k 26(ag}.)k 13(  |2s  @Title })k
480 10327(            else      @Y)m 4(ield @Title)k 480 10039(        })m 480 9751(    })m 480 9175(        @Heading @Protect @SectionTitle)m
480 8887(    //  @NumberMar)m -3(k)k 4(er {)k 480 8599(            {@ChapterList&&@T)m 26(ag @Open { @T)k 26(ag }}.{)k
480 8311(             @SectionList&&@T)m 26(ag @Open { @T)k 26(ag }})k 480 8023(        })m 480 7735(    //  @ChapterList&&preceding  @T)m 26(agged @T)k 26(ag)k
480 7447(    //  @SectionList&&preceding  @T)m 26(agged @T)k 26(ag)k 480 7159(    //  @NumberMar)m -3(k)k 4(er&&preceding @T)k 26(agged @T)k 26(ag)k
480 6871(    //  @P)m 8(ageMar)k -3(k)k 4(er&&preceding   @T)k 26(agged @T)k 26(ag)k
480 6583(    //  { &3f @SectionTitle } @ContentsEntr)m -6(y {@P)k 8(ageOf @T)k 26(ag})k 480 6295(    //0io @Body)m
480 6007(})m 240 fnt82 0 5513(The)m 220 fnt35 409 5510(@BeginSections)m
240 fnt82 2066 5513(macro)m 2696(in)s 9(v)k 4(ok)k 2(es)k
220 fnt35 3457 5510(@SectionList)m 240 fnt82 4748 5513(,)m 4835(preceded)s
5736(by)s 6010(the)s 6338(appropriate)s 7462(g)s 1(ap)k
7840(and)s 8224(follo)s 6(wed)k 0 5225(by)m 284(an)s
220 fnt35 556 5222(@EndSectsPlace)m 240 fnt82 2307 5225(for)m 2635(closing)s
3368(the)s 3705(list)s 4045(of)s 4306(sections)s 5116(when)s
5681(the)s 220 fnt35 6019 5222(@EndSections)m 240 fnt82 7515 5225(symbol)m
8264(is)s 8463(found.)s 220 fnt35 0 4934(@Section)m 240 fnt82
997 4937(itself)m 1542(is)s 1749(just)s 2151(a)s 2314(cop)s 2(y)k
2829(of)s 220 fnt35 3097 4934(@Chapter)m 240 fnt82 4156 4937(with)m
4635(slight)s 5223(changes)s 6042(to)s 6278(the)s 6623(format.)s
7420(The)s 7845(parameter)s 8855(of)s 220 fnt35 0 4646(@NumberMar)m -3(k)k 4(er)k
240 fnt82 1752 4649(is)m 1970(a)s 2143(simple)s 2844(generalization)s
4262(of)s 4540(the)s 4896(one)s 5305(within)s 220 fnt35
5981 4646(@Chapter)m 240 fnt82 6984 4649(.)m 7156(Notice)s 7856(that)s
8282(we)s 8625(ha)s 4(v)k 3(e)k 0 4361(tak)m 2(en)k
573(care)s 1026(that)s 1444(the)s 1792(v)s 6(alue)k
2360(of)s 2631(this)s 3027(parameter)s 4041(be)s 4323(a)s
4489(juxtaposition)s 5795(of)s 6066(simple)s 6759(w)s 2(ords:)k
7508(although)s 220 fnt35 480 3860({@ChapterList&&@T)m 26(ag @Open { @T)k 26(ag }}.)k 13( &)k
480 3572({@SectionList&&@T)m 26(ag @Open { @T)k 26(ag }})k 240 fnt82 0 3073(is)m
210(formally)s 1086(equi)s 6(v)k 6(alent,)k 220 fnt35
2177 3070(&)m 240 fnt82 2379 3073(w)m 2(as)k 2800(not)s
3166(permitted)s 4139(within)s 4807(a)s 220 fnt35 4973 3070(@T)m 26(ag)k
240 fnt82 5596 3073(parameter)m 6610(until)s 7103(recently)s 15(.)k
480 2699(The)m 930(DocumentSetup)s 2548(package)s 3411(also)s 3872(contains)s
4743(de\207nitions)s 5826(for)s 6187(subsections)s 7364(in)s 7630(the)s
8001(same)s 8571(style.)s 0 2411(The)m 3(y)k 564(raise)s
1091(the)s 1461(question)s 2350(of)s 2643(whether)s 3494(Lout)s
4028(is)s 4259(capable)s 5066(of)s 5359(producing)s 6404(subsections)s
7580(should)s 8298(the)s 8668(user)s 0 2123(place)m 220 fnt35
542 2120(@BeginSections)m 240 fnt82 2159 2123(,)m 220 fnt35 2248 2120(@Section)m
240 fnt82 3188 2123(,)m 3276(and)s 220 fnt35 3662 2120(@EndSections)m
240 fnt82 5151 2123(within)m 5800(a)s 240 fnt83 5948 2125(section)m
240 fnt82 6619 2123(,)m 6708(and)s 7093(whether)s 7905(such)s
8382(nesting)s 0 1835(could)m 592(proceed)s 1409(to)s 1650(arbitrary)s
2527(depth.)s 3225(Arbitrary)s 4169(nesting)s 4915(of)s 5188(sections)s
6011(within)s 6681(sections)s 7504(is)s 7716(a)s 4(v)k 6(ailable)k
8627(no)s 6(w)k 15(,)k 0 1547(although)m 883(the)s
1218(numbering)s 2295(w)s 2(ould)k 2937(of)s 3195(course)s
3862(be)s 4131(wrong.)s 4894(The)s 5309(author)s 5967(has)s
6324(w)s 2(ork)k 2(ed)k 7083(out)s 7436(de\207nitions)s
8484(which)s 0 1259(pro)m 3(vide)k 773(correct)s 1484(numbering)s
2563(to)s 2790(arbitrary)s 3654(depth,)s 4282(with)s 4752(an)s
5024(arbitrary)s 5888(format)s 6573(for)s 6899(each)s 7383(le)s 6(v)k 3(el.)k
7991(These)s 8606(were)s 0 971(not)m 376(incorporated)s 1652(into)s
2087(DocumentSetup)s 3693(because)s 4516(the)s 4874(author)s 5555(considers)s
6520(sub-)s 6921(subsections)s 8085(to)s 8334(be)s 8627(poor)s
0 683(style,)m 558(and)s 962(he)s 1244(prefers)s 1957(separate)s
2795(names)s 3457(for)s 3795(the)s 4143(symbols)s 4992(at)s
5224(each)s 5719(le)s 6(v)k 3(el.)k 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 87 93
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(4.5.)m 454(Biblio)s 2(gr)k 3(aphies)k
240 fnt84 8831 13840(87)m 0 13203(4.5.)m 471(Bibliographies)s 240 fnt82
533 12726(The)m 953(\207rst)s 1376(step)s 1806(in)s 2041(the)s
2382(production)s 3468(of)s 3731(a)s 3889(bibliograph)s 1(y)k
5157(is)s 5359(to)s 5591(create)s 6208(a)s 6366(database)s
7237(of)s 7500(references)s 8523(based)s 0 12438(on)m 297(the)s
645(de\207nition)s 220 fnt35 480 11987(e)m 6(xpor)k -8(t @T)k 26(ype @A)k 6(uthor @Title @Institution @Number @Pub)k 4(lisher)k
480 11699(       @Y)m 30(ear @Proceedings @Jour)k -5(nal @V)k 17(olume @P)k 8(ages @Comment)k
480 11123(def @Ref)m 6(erence)k 480 10835(   named @T)m 26(ag)k 3270({ )s 11(T)k 26(A)k 6(G? })k
480 10547(   named @T)m 26(ype)k 3270({ )s 11(TYPE? })k 480 10259(   named @A)m 6(uthor)k
3270({ A)s 11(UTHOR? })k 480 9971(   named @Title)m 3270({ )s 11(TITLE? })k
480 9683(   named @Institution)m 3270({ INSTITUTION? })s 480 9395(   named @Number)m 3270({ NUMBER? })s 480 9107(   named @Pub)m 4(lisher)k
3270({ PUBLISHER? })s 480 8819(   named @Y)m 30(ear)k 3270({ )s 19(YEAR? })k
480 8531(   named @Proceedings)m 3270({ PR)s 4(OCEEDINGS? })k 480 8243(   named @Jour)m -5(nal)k
3270({ JOURNAL? })s 480 7955(   named @V)m 17(olume)k 3270({ )s 11(V)k 8(OLUME? })k
480 7667(   named @P)m 8(ages)k 3270({ P)s 26(A)k 6(GES? })k
480 7379(   named @Comment)m 3270({ @Null })s 480 7091({ @Null })m 240 fnt82 0 6597(F)m 3(or)k
389(e)s 3(xample,)k 1303(the)s 1651(database)s 2530(might)s
3148(contain)s 220 fnt35 480 6096({ @Ref)m 6(erence)k 480 5808(     @T)m 26(ag { str)k -3(unk1979style })k
480 5520(     @T)m 26(ype { Book })k 480 5232(     @A)m 6(uthor { Str)k -3(unk, )k 8(William and )k 8(White)k 3(, E.)k 13( B)k 4(.)k 13( })k
480 4944(     @Title { )m 11(The Elements of Style })k 480 4656(     @Pub)m 4(lisher { MacMillan, third edition })k 480 4368(     @Y)m 30(ear { 1979 })k
480 4080(})m 480 3588({ @Ref)m 6(erence)k 480 3300(     @T)m 26(ag { kingston92 })k
480 3012(     @T)m 26(ype { )k 11(T)k 26(echRepor)k -8(t })k
480 2724(     @A)m 6(uthor { Kingston, Jeffre)k 4(y H.)k 13( })k 480 2436(     @Title { Document F)m 6(or)k -5(matting with Lout \(Second Edition\) })k
480 2148(     @Number { 449 })m 480 1860(     @Institution { Basser Depar)m -8(tment of Computer)k 480 1572(Science F09, Univ)m 5(ersity of Sydne)k 4(y 2006, A)k 6(ustr)k 2(alia })k
480 1284(     @Y)m 30(ear { 1992 })k 480 996(})m 240 fnt82 0 502(Since)m
596(named)s 1301(parameters)s 2408(are)s 2764(optional,)s 3664(we)s
4008(ha)s 4(v)k 3(e)k 4519(one)s 4930(for)s
5277(e)s 6(v)k 3(ery)k 5862(concei)s 6(v)k 6(able)k
7057(type)s 7534(of)s 7814(attrib)s 4(ute,)k 8722(and)s
0 214(simply)m 702(lea)s 4(v)k 3(e)k 1252(out)s
1614(those)s 2172(that)s 2586(do)s 2876(not)s 3238(apply)s
3821(in)s 4060(an)s 3(y)k 4454(particular)s 5424(reference.)s
6472(W)s 19(e)k 6837(can)s 7223(print)s 7730(a)s
7893(reference)s 8832(by)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 88 94
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(88)m 240 fnt83 7017 13843(Chapter)m 7867(4.)s
8141(Examples)s 240 fnt82 0 13205(using)m 572(the)s 220 fnt35
920 13202(@Open)m 240 fnt82 1726 13205(symbol)m 2486(to)s 2725(get)s
3077(at)s 3309(its)s 3585(attrib)s 4(utes:)k 220 fnt35
480 12704(@Ref)m 6(erence&&str)k -3(unk1979style @Open)k 480 12416({  @A)m 6(uthor)k 11(,  {Slope @F)k 6(ont @Title}.)k 13(  @Pub)k 4(lisher)k 11(, @Y)k 30(ear)k 11(.)k 13(  })k
240 fnt82 0 11920(The)m 428(right)s 939(parameter)s 1953(of)s
220 fnt35 2224 11917(@Open)m 240 fnt82 3030 11920(may)m 3496(use)s
3871(the)s 4219(e)s 3(xported)k 5111(parameters)s 6209(of)s
6480(the)s 6828(left,)s 7252(and)s 7656(so)s 7922(the)s
8270(result)s 8860(is)s 480 11415(W)m 9(illiam)k 1313(Strunk)s
2012(and)s 2416(E.)s 2666(B.)s 2930(White,)s 240 fnt83
3681 11417(The)m 4093(Elements)s 5024(of)s 5305(Style)s 240 fnt82
5762 11415(.)m 5926(Macmillan,)s 7068(1979.)s 0 10916(Incidentally)m 15(,)k
1235(we)s 1573(are)s 1923(not)s 2292(limited)s 3029(to)s
3271(just)s 3679(one)s 4084(database)s 4966(of)s 5240(references;)s
6335(se)s 6(v)k 3(eral)k 220 fnt35 7060 10913(@Database)m
240 fnt82 8277 10916(symbols)m 0 10628(can)m 380(nominate)s 1317(the)s
1656(same)s 2193(symbol,)s 2996(and)s 3391(in)s 9(v)k 4(ocations)k
4523(of)s 4784(that)s 5193(symbol)s 5944(can)s 6324(appear)s
7011(in)s 7245(the)s 7584(document)s 8578(itself)s 0 10340(as)m
250(well)s 716(if)s 933(we)s 1268(wish.)s 480 9966(The)m
930(second)s 1675(step)s 2135(is)s 2368(to)s 2629(create)s
3276(a)s 3464(database)s 4366(of)s 4659(print)s 5192(styles)s
5809(for)s 6170(the)s 6540(v)s 6(arious)k 7311(types)s
7889(of)s 8183(reference)s 0 9678(\(Book,)m 706(T)s 16(echReport,)k
1926(etc.\),)s 2450(based)s 3053(on)s 3350(the)s 3698(follo)s 6(wing)k
4675(de\207nition:)s 220 fnt35 480 9177(e)m 6(xpor)k -8(t @Style)k
480 8889(def @RefStyle)m 480 8601(   left @T)m 26(ag)k 480 8313(   named @Style r)m -3(ight reftag {})k
480 8025({})m 240 fnt82 0 7531(Notice)m 682(that)s 1089(the)s
1426(named)s 2111(parameter)s 220 fnt35 3114 7528(@Style)m 240 fnt82
3865 7531(has)m 4224(a)s 4379(right)s 4879(parameter)s 220 fnt35
5882 7528(reftag)m 240 fnt82 6431 7531(.)m 6584(The)s 7001(style)s
7497(database)s 8365(has)s 8724(one)s 0 7243(entry)m 545(for)s
883(each)s 1378(type)s 1846(of)s 2117(reference:)s 220 fnt35
480 6742({ Book @RefStyle @Style)m 480 6454(  {  @Ref)m 6(erence&&reftag @Open)k 480 6166(     { @A)m 6(uthor)k 11(,  {Slope @F)k 6(ont @Title}.)k 13(  @Pub)k 4(lisher)k 11(, @Y)k 30(ear)k 11(.)k 13(  @Comment })k
480 5878(  })m 480 5590(})m 480 5014({ )m 11(T)k 26(echRepor)k -8(t @RefStyle @Style)k
480 4726(  {  @Ref)m 6(erence&&reftag @Open)k 480 4438(     { @A)m 6(uthor)k 11(,  {Slope @F)k 6(ont @Title}.)k 13(  )k 11(T)k 26(ech.)k 13( Rep)k 7(.)k 13( @Number \(@Y)k 30(ear\),)k
480 4150(@Institution.)m 13(  @Comment })k 480 3862(  })m 480 3574(})m 240 fnt82
0 3080(and)m 404(so)s 670(on.)s 1074(The)s 1502(follo)s 6(wing)k
2479(prints)s 3074(the)s 3422(reference)s 4365(whose)s 5033(tag)s
5378(is)s 220 fnt35 5588 3077(str)m -3(unk1979style)k 240 fnt82
7180 3080(in)m 7423(the)s 7771(Book)s 8352(style:)s 220 fnt35
480 2579(@RefStyle&&Book @Open { @Style str)m -3(unk1979style })k 240 fnt82 0 2081(It)m 205(has)s
575(result)s 480 1626(W)m 9(illiam)k 1313(Strunk)s 2012(and)s
2416(E.)s 2666(B.)s 2930(White.)s 240 fnt83 3678 1628(The)m
4090(Elements)s 5021(of)s 5302(Style)s 240 fnt82 5759 1626(.)m
5923(Macmillan)s 6955(.)s 7119(Third)s 7708(Edition)s 8409(,)s
8516(1979)s 8987(.)s 0 1127(Notice)m 696(ho)s 6(w)k
1160(the)s 220 fnt35 1512 1124(@Style)m 240 fnt82 2277 1127(parameter)m
3295(of)s 220 fnt35 3569 1124(@RefStyle)m 240 fnt82 4675 1127(is)m
4889(gi)s 6(v)k 3(en)k 5472(the)s 5824(parameter)s
220 fnt35 6841 1124(str)m -3(unk1979style)k 240 fnt82 8373 1127(,)m
8484(which)s 0 839(it)m 192(uses)s 655(to)s 894(open)s
1417(the)s 1765(appropriate)s 2909(reference.)s 480 465(W)m 19(e)k
858(can)s 1256(consult)s 2017(the)s 220 fnt35 2374 462(@T)m 26(ype)k
240 fnt82 3121 465(attrib)m 4(ute)k 3977(of)s 4258(a)s
4433(reference)s 5386(to)s 5634(\207nd)s 6075(out)s 6450(its)s
6736(style,)s 7303(which)s 7955(brings)s 8613(us)s 8887(to)s
0 177(the)m 348(follo)s 6(wing)k 1325(de\207nition)s 2299(for)s
2637(printing)s 3447(out)s 3813(a)s 3979(reference)s 4922(in)s
5165(the)s 5513(style)s 6020(appropriate)s 7164(to)s 7403(it:)s

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 89 95
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(4.5.)m 454(Biblio)s 2(gr)k 3(aphies)k
240 fnt84 8832 13840(89)m 220 fnt35 480 13207(def @RefPr)m -3(int)k
480 12919(   r)m -3(ight reftag)k 480 12631({  @RefStyle&&{ @Ref)m 6(erence&&reftag @Open { @T)k 26(ype } })k
480 12343(   @Open { @Style reftag })m 480 12055(})m 240 fnt82 0 11561(F)m 3(or)k
389(e)s 3(xample,)k 1303(to)s 1542(e)s 6(v)k 6(aluate)k
220 fnt35 2382 11558(@RefPr)m -3(int str)k -3(unk1979style)k 240 fnt82
4992 11561(,)m 5099(Lout)s 5611(\207rst)s 6042(e)s 6(v)k 6(aluates)k
220 fnt35 480 11060(@Ref)m 6(erence&&str)k -3(unk1979style  @Open  { @T)k 26(ype })k
240 fnt82 0 10562(whose)m 668(result)s 1258(is)s 220 fnt35
1468 10559(Book)m 240 fnt82 1968 10562(,)m 2075(and)s 2479(then)s
2948(e)s 6(v)k 6(aluates)k 220 fnt35 480 10080(@RefStyle&&Book @Open { @Style str)m -3(unk1979style })k
240 fnt82 0 9582(as)m 266(before.)s 1056(Complicated)s 2353(as)s
2619(this)s 3032(is,)s 3314(with)s 3813(its)s 4105(tw)s 2(o)k
4531(databases)s 5515(and)s 5935(cle)s 6(v)k 3(er)k
6586(passing)s 7373(about)s 7982(of)s 8269(tags,)s 8778(the)s
0 9294(adv)m 6(antages)k 1098(of)s 1359(separating)s 2384(references)s
3405(from)s 3919(printing)s 4718(styles)s 5303(are)s 5640(considerable:)s
7004(printing)s 7804(styles)s 8389(may)s 8844(be)s 0 9006(changed)m
856(easily)s 15(,)k 1505(and)s 1909(non-e)s 3(xpert)k
3002(users)s 3544(need)s 4054(ne)s 6(v)k 3(er)k
4636(see)s 4997(them.)s 480 8632(Finally)m 15(,)k 1243(we)s
1571(come)s 2138(to)s 2370(the)s 2711(problem)s 3561(of)s
3825(printing)s 4628(out)s 4987(a)s 5146(numbered)s 6154(list)s
6498(of)s 6762(references,)s 7842(and)s 8239(referring)s 0 8344(to)m
251(them)s 802(by)s 1108(number)s 1912(in)s 2167(the)s
2528(body)s 3074(of)s 3358(the)s 3718(document.)s 4839(The)s
5279(\207rst)s 5723(step)s 6173(is)s 6396(to)s 6647(create)s
7285(a)s 7463(numbered)s 8491(list)s 8855(of)s 0 8056(places)m
648(that)s 1066(g)s 1(alle)k 3(ys)k 1790(containing)s
2853(references)s 3884(may)s 4350(attach)s 4977(to:)s 220 fnt35
480 7555(def @Ref)m 6(erenceSection)k 480 7267(    named @T)m 26(ag {})k 480 6979(    named @Title { Ref)m 6(erences })k
480 6691(    named @RunningTitle { dft })m 480 6403(    named style r)m -3(ight tag { tag.)k 13( })k 480 6115(    named headstyle r)m -3(ight @Title { @Heading @Title })k
480 5827(    named indent { @DispIndent })m 480 5539(    named gap { @DispGap })m 480 5251(    named star)m -8(t { 1 })k 480 4963({)m
480 4675(    def @RefList r)m -3(ight n)k 2(um)k 480 4387(    {)m 480 4099(        @NumberMar)m -3(k)k 4(er n)k 2(um  &  indent @Wide {style n)k 2(um}  |  @RefPlace)k
480 3811(        //gap @RefList @Ne)m 6(xt n)k 2(um)k 480 3523(    })m 480 2947(        @Protect headstyle @Title)m
480 2659(    //  @P)m 8(ageMar)k -3(k)k 4(er&&preceding @T)k 26(agged @T)k 26(ag)k
480 2371(    //  @Title @MajorContentsEntr)m -6(y {@P)k 8(ageOf @T)k 26(ag})k 480 2083(    //  @Runner)m
480 1795(            @F)m 6(ootEv)k 5(en { |0.5r)k -8(t 0.8f @F)k 6(ont @B @P)k 8(ageNum })k
480 1507(            @F)m 6(ootOdd  { |0.5r)k -8(t 0.8f @F)k 6(ont @B @P)k 8(ageNum })k
480 1219(    //@DispGap  @RefList star)m -8(t)k 480 931(    //  @Runner)m 480 643(            @T)m 26(opEv)k 5(en { @B @P)k 8(ageNum })k
480 355(            @T)m 26(opOdd  { @I {@RunningTitle @OrElse @Title} |1r)k -8(t @B @P)k 8(ageNum })k 480 67(})m

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 90 96
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(90)m 240 fnt83 7017 13843(Chapter)m 7867(4.)s
8141(Examples)s 240 fnt82 0 13205(W)m 19(e)k 378(place)s
948(the)s 1305(e)s 3(xpression)k 220 fnt35 2392 13202(@Ref)m 6(erenceSection)k
240 fnt82 4408 13205(at)m 4649(the)s 5007(point)s 5569(where)s
6218(we)s 6563(w)s 2(ant)k 7096(the)s 7453(list)s
7814(of)s 8095(references)s 0 12917(to)m 239(appear;)s 988(its)s
1264(v)s 6(alue)k 1832(is)s 2042(something)s 3092(lik)s 2(e)k
220 fnt35 480 12416(1.)m 13(   @RefPlace)k 480 12128(2.)m 13(   @RefPlace)k
480 11840(3.)m 13(   @RefPlace)k 480 11552(...)m 240 fnt82 0 11101(where)m
220 fnt35 648 11098(@RefPlace)m 240 fnt82 1820 11101(is)m 220 fnt35
2038 11098(@Galle)m 4(y)k 240 fnt82 2945 11101(as)m 3203(usual.)s
3880(W)s 19(e)k 4258(can)s 4655(scatter)s 5345(multiple)s
6205(lists)s 6649(of)s 6928(references)s 7967(through)s 8778(the)s
0 10813(document)m 1004(if)s 1221(we)s 1555(wish)s 2064(\(at)s
2375(the)s 2722(end)s 3126(of)s 3397(each)s 3891(chapter)s 9(,)k
4692(for)s 5030(e)s 3(xample\),)k 6022(simply)s 6727(by)s
7021(placing)s 220 fnt35 7777 10810(@Ref)m 6(erence)k 240 fnt82
8998 10813(-)m 220 fnt35 0 10522(Section)m 240 fnt82 777 10525(at)m
1009(each)s 1504(point.)s 480 10151(Our)m 912(task)s 1358(is)s
1568(completed)s 2622(by)s 2916(the)s 3264(follo)s 6(wing)k
4241(de\207nition:)s 220 fnt35 480 9650(def @Ref r)m -3(ight x)k 480 9362({)m
480 9074(    def sendref into { @RefPlace&&f)m 6(ollo)k 3(wing })k 480 8786(        r)m -3(ight @K)k 8(e)k 4(y)k
480 8498(    {)m 480 8210(        @NumberMar)m -3(k)k 4(er&&preceding @T)k 26(agged x  &)k
480 7922(        @P)m 8(ageMar)k -3(k)k 4(er&&preceding @T)k 26(agged x  &)k
480 7634(        @RefPr)m -3(int x)k 480 7346(    })m 480 6770(    @NumberMar)m -3(k)k 4(er&&x @Open { @T)k 26(ag } sendref x)k
480 6482(})m 240 fnt82 0 5988(Gi)m 6(v)k 3(en)k
633(this)s 1029(de\207nition,)s 2053(the)s 2401(in)s 9(v)k 4(ocation)k
220 fnt35 3455 5985(@Ref str)m -3(unk1979style)k 240 fnt82 5672 5988(has)m
6042(result)s 220 fnt35 480 5489(@NumberMar)m -3(k)k 4(er&&str)k -3(unk1979style @Open { @T)k 26(ag })k
240 fnt82 0 4990(plus)m 450(the)s 798(g)s 1(alle)k 3(y)k
220 fnt35 1432 4987(sendref str)m -3(unk1979style)k 240 fnt82 3757 4990(.)m
3921(W)s 19(e)k 4290(\207rst)s 4721(follo)s 6(w)k
5393(what)s 5918(happens)s 6754(to)s 6993(the)s 7341(g)s 1(alle)k 3(y)k 15(.)k
480 4616(According)m 1555(to)s 1806(its)s 220 fnt35 2094 4613(into)m
240 fnt82 2512 4616(clause,)m 3229(the)s 3589(g)s 1(alle)k 3(y)k
4235(will)s 4673(replace)s 5430(a)s 220 fnt35 5609 4613(@RefPlace)m
240 fnt82 6785 4616(in)m 7040(the)s 7400(nearest)s 8149(follo)s 6(wing)k
220 fnt35 0 4325(@Ref)m 6(erenceSection)k 240 fnt82 1946 4328(.)m
2114(If)s 2348(e)s 6(v)k 3(ery)k 2928(such)s
3428(g)s 1(alle)k 3(y)k 4066(is)s 4280(a)s
4450(sorted)s 5096(g)s 1(alle)k 3(y)k 5734(whose)s
6406(k)s 2(e)k 3(y)k 6805(is)s 7019(the)s
7371(reference')s 13(s)k 8472(tag,)s 8876(as)s 0 4040(this)m
396(one)s 798(is,)s 1064(the)s 3(y)k 1527(will)s
1953(appear)s 2650(sorted)s 3292(by)s 3586(tag.)s 4042(The)s
4470(g)s 1(alle)k 3(y')k 13(s)k 5260(object)s
5904(is)s 220 fnt35 480 3539(@NumberMar)m -3(k)k 4(er&&preceding @T)k 26(agged str)k -3(unk1979style  &)k
480 3251(@P)m 8(ageMar)k -3(k)k 4(er&&preceding @T)k 26(agged str)k -3(unk1979style  &)k
480 2963(@RefPr)m -3(int str)k -3(unk1979style)k 240 fnt82 0 2465(The)m
428(result)s 1017(of)s 1287(the)s 220 fnt35 1634 2462(@T)m 26(agged)k
240 fnt82 2622 2465(symbol)m 3381(is)s 3590(al)s 2(w)k 2(ays)k
220 fnt35 4300 2462(@Null)m 240 fnt82 4885 2465(,)m 4991(so)s
5256(this)s 5651(prints)s 6245(the)s 220 fnt35 6592 2462(str)m -3(unk1979style)k
240 fnt82 8183 2465(reference)m 0 2177(in)m 243(the)s 591(appropriate)s
1735(style)s 2242(at)s 2474(the)s 220 fnt35 2822 2174(@RefPlace)m
240 fnt82 3926 2177(,)m 4033(as)s 4283(desired.)s 480 1803(No)m 6(w)k
220 fnt35 1043 1800(@NumberMar)m -3(k)k 4(er&&preceding)k 240 fnt82
4081 1803(is)m 4341(the)s 4739(nearest)s 5524(preceding)s 6570(in)s 9(v)k 4(ocation)k
7674(of)s 220 fnt35 7995 1800(@Number)m 240 fnt82 8998 1803(-)m
220 fnt35 0 1512(Mar)m -3(k)k 4(er)k 240 fnt82
775 1515(in)m 1051(the)s 1432(\207nal)s 1946(document.)s 3087(This)s
3596(must)s 4155(be)s 4470(the)s 4851(in)s 9(v)k 4(ocation)k
5939(of)s 220 fnt35 6243 1512(@NumberMar)m -3(k)k 4(er)k
240 fnt82 8021 1515(just)m 8460(before)s 0 1227(the)m 220 fnt35
378 1224(@RefPlace)m 240 fnt82 1572 1227(that)m 2020(recei)s 6(v)k 3(ed)k
2908(the)s 3286(g)s 1(alle)k 3(y)k 15(,)k
3988(and)s 4423(so)s 4719(this)s 5145(in)s 9(v)k 4(ocation)k
6229(of)s 220 fnt35 6530 1224(@NumberMar)m -3(k)k 4(er)k
240 fnt82 8305 1227(is)m 8546(gi)s 6(v)k 3(en)k
220 fnt35 0 936(str)m -3(unk1979style)k 240 fnt82 1585 939(as)m
1827(an)s 2102(additional)s 3105(tag)s 3442(by)s 3728(the)s
220 fnt35 4068 936(@T)m 26(agged)k 240 fnt82 5050 939(symbol.)m
5911(Its)s 6192(original)s 6982(tag)s 7319(w)s 2(as)k
7732(the)s 8072(number)s 8855(of)s 0 651(the)m 348(reference)s
1291(place,)s 1902(which)s 2544(means)s 3206(that)s 220 fnt35
480 150(@NumberMar)m -3(k)k 4(er&&str)k -3(unk1979style @Open { @T)k 26(ag })k

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 91 97
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(4.5.)m 454(Biblio)s 2(gr)k 3(aphies)k
240 fnt84 8839 13840(91)m 240 fnt82 0 13205(has)m 370(for)s
708(its)s 984(result)s 1574(the)s 1922(number)s 2713(of)s
2984(the)s 3332(reference)s 4275(place)s 4835(that)s 5253(recei)s 6(v)k 3(ed)k
6111(the)s 220 fnt35 6459 13202(str)m -3(unk1979style)k 240 fnt82
8051 13205(g)m 1(alle)k 3(y)k 15(,)k 8722(and)s
0 12917(this)m 396(is)s 606(the)s 954(desired)s 1702(result)s
2292(of)s 220 fnt35 2563 12914(@Ref str)m -3(unk1979style)k 240 fnt82
4720 12917(.)m 480 12543(It)m 674(might)s 1281(seem)s 1821(that)s
2228(if)s 2434(we)s 2758(refer)s 3256(to)s 3483(the)s
220 fnt35 3820 12540(str)m -3(unk1979style)k 240 fnt82 5401 12543(reference)m
6333(twice,)s 6946(tw)s 2(o)k 7345(copies)s 7996(will)s
8411(be)s 8681(sent)s 0 12255(to)m 247(the)s 603(reference)s
1554(list)s 1914(and)s 2326(it)s 2526(will)s 2961(appear)s
3666(twice.)s 4355(Ho)s 6(we)k 6(v)k 3(er)k 9(,)k
5324(when)s 5908(more)s 6463(than)s 6941(one)s 7351(sorted)s
8001(g)s 1(alle)k 3(y)k 8644(with)s 0 11967(the)m
341(same)s 881(k)s 2(e)k 3(y)k 1269(is)s
1472(sent)s 1910(to)s 2142(the)s 2483(same)s 3023(place,)s
3627(only)s 4100(one)s 4495(of)s 4759(them)s 5290(is)s
5493(printed)s 6221(\(Section)s 7067(1.4\);)s 7551(so)s 7810(pro)s 3(vided)k
8708(that)s 0 11679(sorted)m 642(g)s 1(alle)k 3(ys)k
1366(are)s 1713(used)s 2210(there)s 2743(is)s 2953(no)s
3246(problem.)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 92 98
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
480 fnt84 0 12955(Refer)m 8(ences)k 240 fnt82 0 12358([1])m
480(Adobe)s 1182(Systems,)s 2094(Inc..)s 240 fnt83 2631 12360(P)m 19(ostScript)k
3680(Langua)s 2(g)k 2(e)k 4696(Refer)s 8(ence)k
5704(Manual,)s 6550(Second)s 7316(Edition)s 240 fnt82 8014 12358(.)m
8186(Addison-)s 480 12070(W)m 19(esle)k 3(y)k 1169(,)s
1276(1990)s 1751(.)s 0 11567([2])m 480(Brian)s 1132(W)s 22(.)k
1504(K)s 6(ernighan)k 2630(and)s 3098(Lorinda)s 3980(L.)s
4294(Cherry)s 15(.)k 5172(A)s 5466(system)s 6255(for)s
6657(typesetting)s 7824(mathematics)s 9022(.)s 240 fnt83 480 11281(Communications)m
2158(of)s 2439(the)s 2784(A)s 7(CM)k 240 fnt84
3351 11278(18)m 240 fnt82 3585 11279(,)m 3692(182\211193)s 4576(\(1975\))s
5203(.)s 0 10778([3])m 480(Jef)s 6(fre)k 3(y)k
1177(H.)s 1443(Kingston.)s 240 fnt83 2475 10780(The)m 2876(Basser)s
3581(Lout)s 4074(Document)s 5111(F)s 25(ormatting)k 6219(System)s
6929(\(V)s 26(er)k 2(sion)k 7767(3\))s 240 fnt82
7956 10778(.)m 8109(Computer)s 480 10490(program)m 1290(,)s 1408(1995)s
1874(.)s 2050(Publicly)s 2913(a)s 4(v)k 6(ailable)k
3833(in)s 4088(the)s 240 fnt83 4448 10492(jef)m 4(f)k
240 fnt82 4855 10490(subdirectory)m 6116(of)s 6399(the)s 6759(home)s
7359(directory)s 8287(of)s 240 fnt83 8570 10492(ftp)m 240 fnt82
8887 10490(to)m 480 10202(host)m 240 fnt83 950 10204(ftp.cs.su.oz.au)m 240 fnt82
2373 10202(with)m 2866(login)s 3427(name)s 240 fnt83 4012 10204(anonymous)m
240 fnt82 5171 10202(or)m 240 fnt83 5442 10204(ftp)m 240 fnt82
5758 10202(and)m 6174(an)s 3(y)k 6582(non-empty)s 7685(passw)s 2(ord)k
8657(\(e.g.)s 240 fnt83 480 9916(none)m 240 fnt82 939 9914(\).)m
1175(Lout)s 1680(distrib)s 4(utions)k 2914(are)s 3254(also)s
3685(a)s 4(v)k 6(ailable)k 4585(from)s 5102(the)s
240 fnt83 5443 9916(comp.sour)m 8(ces.misc)k 240 fnt82 7291 9914(ne)m 6(wsgroup,)k
8436(and)s 8832(by)s 480 9626(electronic)m 1474(mail)s 1953(from)s
2477(the)s 2825(author)s 13(.)k 3587(All)s 3947(enquiries)s
4874(to)s 240 fnt83 5113 9628(jef)m 4(f@cs.su.oz.au)k 240 fnt82
6672 9626(.)m 0 9121([4])m 480(Jef)s 6(fre)k 3(y)k
1187(H.)s 1463(Kingston.)s 240 fnt83 2504 9123(A)m 2698(User')s 9(s)k
3380(Guide)s 4017(to)s 4255(the)s 4599(Lout)s 5101(Document)s
6148(F)s 25(ormatting)k 7266(System)s 7985(\(V)s 26(er)k 2(sion)k
8833(3\))s 240 fnt82 9022 9121(.)m 480 8833(Basser)m 1177(Department)s
2365(of)s 2636(Computer)s 3653(Science)s 4392(,)s 4499(Uni)s 6(v)k 3(ersity)k
5553(of)s 5824(Sydne)s 3(y)k 6534(,)s 6641(1995)s
7107(.)s 0 8328([5])m 480(Donald)s 1243(E.)s 1493(Knuth.)s
240 fnt83 2256 8330(The)m 2668(T)s 2764 8282(E)m 2872 8330(X)m
3028(Book)s 240 fnt82 3524 8328(.)m 3688(Addison-W)s 19(esle)k 3(y)k
5268(,)s 5375(1984)s 5849(.)s 0 7823([6])m 480(Brian)s
1048(K.)s 1305(Reid.)s 1900(A)s 2110(High-)s 2657(Le)s 6(v)k 3(el)k
3227(Approach)s 4207(to)s 4426(Computer)s 5423(Document)s 6459(Production)s
7506(.)s 7650(In)s 240 fnt83 7885 7825(Pr)m 10(oceedings)k
480 7537(of)m 745(the)s 1073(7th)s 1417(Symposium)s 2548(on)s
2825(the)s 3153(Principles)s 4174(of)s 4438(Pr)s 10(o)k 2(gr)k 3(amming)k
5804(Langua)s 2(g)k 2(es)k 6891(\(POPL\),)s 7723(Las)s
8107(V)s 26(e)k 9(gas)k 8695(NV)s 240 fnt82
9019 7535(,)m 480 7247(pages)m 1076(24\21131)s 1651(,)s 1758(1980)s
2233(.)s 0 6742([7])m 480(W)s 9(illiam)k 1313(Strunk)s
2012(and)s 2416(E.)s 2666(B.)s 2930(White.)s 240 fnt83
3678 6744(The)m 4090(Elements)s 5021(of)s 5302(Style)s 240 fnt82
5759 6742(.)m 5923(Macmillan)s 6955(.)s 7119(Third)s 7708(Edition)s
8409(,)s 8516(1979)s 8987(.)s 192 fnt84 4439 2(92)m

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 93 99
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Helvetica
%%+ font Times-Italic
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
480 fnt84 0 12962(Index)m 220 fnt35 0 12365(adjust)m 641(@Break)s
240 fnt82 1444 12368(,)m 1551(42)s 0 12080(Adjustment)m 1176(of)s
1447(object)s 2038(,)s 2145(49)s 0 11792(Adobe)m 695(Systems,)s
1599(Inc.)s 1955(,)s 2062(41)s 0 11504(Alignment)m 240 fnt83
1083 11506(see)m 240 fnt82 1441 11504(mark)m 1993(alignment)s 0 11216(Associati)m 6(vity)k
1256(,)s 1363(22)s 220 fnt35 0 10637(b)m 240 fnt82
174 10640(unit)m 553(,)s 660(37)s 240 10352(use)m 615(in)s
220 fnt35 858 10349(//1.1b)m 240 fnt82 1406 10352(,)m 1513(27)s
220 fnt35 0 10061(@Bac)m 4(kEnd)k 240 fnt82 1145 10064(symbol)m
1852(,)s 1959(68)s 220 fnt35 0 9773(@Bac)m 4(kg)k 2(round)k
240 fnt82 1436 9776(symbol)m 2143(,)s 2250(53)s 220 fnt35
0 9485(@Begin)m 240 fnt82 829 9488(symbol)m 1536(,)s 1643(36)s
220 fnt35 0 9197(@BeginHeaderComponent)m 240 fnt82 2692 9200(symbol)m 3399(,)s
3506(59)s 0 8912(Bibliographies)m 1406(,)s 1513(87)s 0 8624(Body)m
574(of)s 845(a)s 1011(de\207nition)s 1932(,)s 2039(4)s
220 fnt35 0 8333(body)m 240 fnt82 534 8336(parameter)m 1495(,)s
1602(17)s 0 8048(Braces)m 648(,)s 755(3)s 220 fnt35
0 7469(c)m 240 fnt82 165 7472(unit)m 544(,)s 651(37)s
220 fnt35 0 7181(@Case)m 240 fnt82 787 7184(symbol)m 1494(,)s
1601(56)s 0 6896(Centring)m 837(,)s 944(37)s 220 fnt35
0 6605(@Chapter)m 240 fnt82 1063 6608(e)m 3(xample)k 1873(,)s
1980(83)s 0 6320(Chapters)m 901(and)s 1305(sections)s 2073(,)s
2180(82)s 220 fnt35 0 6029(@Char)m 240 fnt82 758 6032(symbol)m
1465(,)s 1572(41)s 0 5744(Cherry)m 15(,)k 756(L.)s
953(,)s 1060(71)s 220 fnt35 0 5453(@ClearHeaderComponent)m 240 fnt82
2655 5456(symbol)m 3362(,)s 3469(60)s 220 fnt35 0 5165(clines)m
613(@Break)s 240 fnt82 1416 5168(,)m 1523(42)s 220 fnt35
0 4877(@ColList)m 240 fnt82 948 4880(e)m 3(xample)k 1758(,)s
1865(79)s 0 4592(Column)m 829(mark)s 1328(,)s 1435(1)s
0 4304(Comment)m 951(,)s 1058(15)s 0 4016(Comment)m 1004(character)s
1885(,)s 1992(13)s 220 fnt35 0 3725(@Common)m 240 fnt82
1159 3728(symbol)m 1866(,)s 1973(54)s 0 3440(Components)m 1262(of)s
1533(a)s 1699(g)s 1(alle)k 3(y)k 2280(,)s
2387(26)s 240 3152(promotion)m 1294(of)s 1512(,)s 1619(29)s
0 2864(Concatenation)m 1439(symbols)s 2235(,)s 2342(36)s 0 2576(Contraction)m
1186(of)s 1457(object)s 2048(,)s 2155(49)s 220 fnt35
0 2285(cr)m 2(agged)k 839(@Break)s 240 fnt82 1642 2288(,)m
1749(42)s 0 2000(Cross)m 596(reference)s 1486(,)s 1593(7)s
220 fnt35 0 1709(@CurrLang)m 240 fnt82 1185 1712(symbol)m 1892(,)s
1999(46)s 220 fnt35 0 1133(d)m 240 fnt82 170 1136(unit)m
549(,)s 656(37)s 220 fnt35 0 845(@Database)m 240 fnt82
1214 848(symbol)m 1921(,)s 2028(62)s 4816 12365(Date,)m 5374(printing)s
6184(of)s 6455(current)s 7138(,)s 7245(57)s 4816 12077(Def)m 2(ault)k
5590(v)s 6(alue)k 6158(of)s 6429(parameter)s 7390(,)s
7497(15)s 4816 11789(De\207nitions)m 5877(,)s 5984(4)s 4816 11501(Delimiter)m
5737(,)s 5844(13)s 4816 11213(Diag)m 5334(diagram-dra)s 3(wing)k
7030(package)s 7817(,)s 7924(66)s 4816 10925(Diagrams)m 5743(,)s
5850(63)s 4816 10637(DocumentLayout)m 6551(package)s 7338(,)s 7445(73)s
5056 10349(chapters)m 5903(and)s 6307(sections)s 7075(,)s 7182(82)s
5056 10061(displays)m 5838(,)s 5945(74)s 5056 9773(lists)m 5438(,)s
5545(75)s 5056 9485(page)m 5564(layout)s 6169(,)s 6276(77)s
5056 9197(paragraphs)m 6103(,)s 6210(73)s 220 fnt35 4816 8618(e)m
240 fnt82 4990 8621(g)m 1(ap)k 5388(mode)s 5923(,)s
6030(37)s 4816 8333(Edge-to-edge)m 6160(g)s 1(ap)k 6558(mode)s
7093(,)s 7200(37)s 220 fnt35 4816 8042(@Enclose)m 240 fnt82
5818 8045(,)m 5925(31)s 220 fnt35 4816 7754(@End)m 240 fnt82
5477 7757(symbol)m 6184(,)s 6291(36)s 220 fnt35 4816 7466(@EndHeaderComponent)m
240 fnt82 7338 7469(symbol)m 8045(,)s 8152(59)s 4816 7181(Eq)m
5140(equation)s 6021(formatting)s 7082(package)s 7869(,)s 7976(71)s
220 fnt35 4816 6890(@Eq)m 240 fnt82 5354 6893(e)m 3(xample)k
6164(,)s 6271(71)s 4816 6605(Escape)m 5549(character)s 6430(,)s
6537(13)s 220 fnt35 4816 6314(@Ev)m 5(enP)k 8(ageList)k
240 fnt82 6435 6317(e)m 3(xample)k 7245(,)s 7352(81)s
4816 6029(Expansion)m 5884(of)s 6155(object)s 6746(,)s 6853(48)s
220 fnt35 4816 5738(e)m 6(xpor)k -8(t)k 240 fnt82
5484 5741(clause)m 6084(,)s 6191(18)s 220 fnt35 4816 5162(f)m
240 fnt82 4934 5165(unit)m 5313(,)s 5420(37)s 4816 4877(F)m 3(ace)k
5320(of)s 5591(a)s 5757(font)s 6149(,)s 6256(40)s
4816 4589(F)m 3(amily)k 5544(of)s 5815(a)s 5981(font)s
6373(,)s 6480(40)s 220 fnt35 4816 4298(f)m 6(ollo)k 3(wing)k
240 fnt82 5653 4301(,)m 5760(8)s 220 fnt35 4816 4010(f)m 6(ollo)k 3(wing)k
240 fnt82 5653 4013(,)m 5760(8)s 4816 3725(F)m 3(onts)k
5343(,)s 5450(40)s 220 fnt35 4816 3434(f)m 6(ontdef)k
240 fnt82 5485 3437(,)m 5592(41)s 220 fnt35 4816 3146(@F)m 6(ont)k
240 fnt82 5528 3149(symbol)m 6235(,)s 6342(40)s 220 fnt35
4816 2858(@F)m 6(ootSect)k 240 fnt82 5967 2861(e)m 3(xample)k
6777(,)s 6884(78)s 4816 2573(F)m 3(orcing)k 5610(g)s 1(alle)k 3(y)k
6191(,)s 6298(29)s 4816 2285(F)m 3(ormfeed)k 5747(,)s
5854(13)s 4816 1709(Galle)m 3(ys)k 5541(,)s 5648(10)s
5056 1421(in)m 5299(detail)s 5831(,)s 5938(25)s 220 fnt35
4816 1130(@Galle)m 4(y)k 5654(@F)s 6(orceGalle)k 4(y)k
240 fnt82 7107 1133(symbol)m 7814(,)s 7921(58)s 8155(,)s
4816 845(Gap)m 5215(,)s 5322(37)s 192 fnt84 4440 2(93)m

grestore

grestore

grestore

pgsave restore
showpage

%%Page: 94 100
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(94)m 240 fnt83 8539 13843(Inde)m 4(x)k
240 fnt82 0 13249(Gap)m 452(mode)s 987(,)s 1094(37)s
220 fnt35 0 12958(@Gr)m 2(aphic)k 240 fnt82 1044 12961(symbol)m
1751(,)s 1858(63)s 220 fnt35 0 12382(h)m 240 fnt82
168 12385(g)m 1(ap)k 566(mode)s 1101(,)s 1208(37)s
220 fnt35 0 12094(@HAdjust)m 240 fnt82 1046 12097(symbol)m 1753(,)s
1860(49)s 220 fnt35 0 11806(@HContr)m 2(act)k 240 fnt82
1264 11809(symbol)m 1971(,)s 2078(49)s 220 fnt35 0 11518(@HCo)m 3(v)k 5(er)k
240 fnt82 1018 11521(symbol)m 1725(,)s 1832(50)s 0 11233(Header)m
750(component)s 1874(of)s 2145(g)s 1(alle)k 3(y)k
2726(,)s 2833(58)s 0 10945(Height)m 711(of)s 982(an)s
1265(object)s 1856(,)s 1963(24)s 220 fnt35 0 10654(@HExpand)m
240 fnt82 1173 10657(symbol)m 1880(,)s 1987(48)s 220 fnt35
0 10366(@High)m 240 fnt82 719 10369(symbol)m 1426(,)s 1533(48)s
220 fnt35 0 10078(@HLimited)m 240 fnt82 1135 10081(symbol)m 1842(,)s
1949(49)s 220 fnt35 0 9790(@Hline)m 240 fnt82 773 9793(e)m 3(xample)k
1583(,)s 1690(73)s 0 9505(Horizontal)m 1077(concatenation)s 2409(,)s
2516(36)s 220 fnt35 0 9214(@HScale)m 240 fnt82 981 9217(symbol)m
1688(,)s 1795(50)s 220 fnt35 0 8926(@HShift)m 240 fnt82
875 8929(symbol)m 1582(,)s 1689(48)s 220 fnt35 0 8638(@HSpan)m
240 fnt82 939 8641(symbol)m 1646(,)s 1753(51)s 220 fnt35
0 8350(h)m 6(yphen)k 760(@Break)s 240 fnt82 1563 8353(,)m
1670(43)s 0 8065(Hyphenation)m 1294(g)s 1(ap)k 1692(mode)s
2227(,)s 2334(39)s 0 7777(Hyphenation)m 1294(g)s 1(ap)k
1692(mode)s 2227(,)s 2334(37)s 0 7201(Identi\207er)m 882(,)s
989(13)s 220 fnt35 0 6910(impor)m -8(t)k 240 fnt82
673 6913(clause)m 1273(,)s 1380(18)s 0 6625(In-paragraph)m 1291(concatenation)s
2623(,)s 2730(37)s 220 fnt35 0 6334(@Include)m 240 fnt82
982 6337(symbol)m 1689(,)s 1796(68)s 220 fnt35 0 6046(@IncludeGr)m 2(aphic)k
240 fnt82 1751 6049(symbol)m 2458(,)s 2565(67)s 220 fnt35
0 5758(@IndentedDispla)m 6(y)k 240 fnt82 1847 5761(e)m 3(xample)k
2657(,)s 2764(74)s 220 fnt35 0 5470(@IndentedList)m 240 fnt82
1474 5473(e)m 3(xample)k 2284(,)s 2391(75)s 0 5185(Inde)m 3(x)k
597(\207le)s 958(\(for)s 1375(databases\))s 2366(,)s 2473(63)s
220 fnt35 0 4894(@Inser)m -8(t)k 240 fnt82 836 4897(symbol)m
1543(,)s 1650(54)s 220 fnt35 0 4606(into)m 240 fnt82
406 4609(clause)m 1006(,)s 1113(10)s 0 4321(In)m 9(v)k 4(ocation)k
1067(of)s 1338(a)s 1504(symbol)s 2211(,)s 2318(4)s
220 fnt35 0 3454(k)m 240 fnt82 170 3457(g)m 1(ap)k
568(mode)s 1103(,)s 1210(37)s 0 3169(K)m 6(ernighan,)k
1111(B.)s 1322(,)s 1429(71)s 0 2881(K)m 6(erning)k
778(,)s 885(40)s 0 2593(K)m 6(erning)k 831(g)s 1(ap)k
1229(mode)s 1764(,)s 1871(37)s 220 fnt35 0 2302(@K)m 8(er)k -5(nShr)k -3(ink)k
240 fnt82 1367 2305(symbol)m 2074(,)s 2181(53)s 220 fnt35
0 2014(@K)m 8(e)k 4(y)k 240 fnt82 647 2017(parameter)m
1608(,)s 1715(32)s 0 1729(Knuth,)m 706(D.)s 930(,)s
1037(73)s 220 fnt35 0 1150(langdef)m 240 fnt82 776 1153(language)m
1696(de\207nition)s 2617(,)s 2724(46)s 220 fnt35 0 862(@Language)m
240 fnt82 1251 865(symbol)m 1958(,)s 2065(46)s 220 fnt35
0 574(@LClos)m 240 fnt82 836 577(symbol)m 1543(,)s 1650(14)s
0 289(LCM)m 573(\207le)s 881(,)s 988(41)s 4816 13249(Length)m
5498(,)s 5605(37)s 220 fnt35 4816 12958(@LEn)m 4(v)k
240 fnt82 5594 12961(symbol)m 6301(,)s 6408(14)s 4816 12673(Letter)m
5445(character)s 6326(,)s 6433(13)s 4816 12385(Lig)m 1(atures)k
5715(,)s 5822(40)s 220 fnt35 4816 12094(lines)m 5319(@Break)s
240 fnt82 6122 12097(,)m 6229(42)s 220 fnt35 4816 11806(@LInput)m
240 fnt82 5705 11809(symbol)m 6412(,)s 6519(14)s 4816 11521(Literal)m
5506(w)s 2(ord)k 6001(,)s 6108(14)s 220 fnt35
4816 11230(@LUse)m 240 fnt82 5603 11233(symbol)m 6310(,)s 6417(14)s
220 fnt35 4816 10942(@L)m 24(Vis)k 240 fnt82 5494 10945(symbol)m
6201(,)s 6308(14)s 220 fnt35 4816 10366(m)m 240 fnt82
5045 10369(unit)m 5424(,)s 5531(37)s 4816 10081(Macro)m 5440(,)s
5547(15)s 4816 9793(Mark)m 5395(alignment)s 6358(,)s 6465(1)s
5056 9505(in)m 5299(detail)s 5831(,)s 5938(28)s 4816 9217(Mark-to-mark)m
6230(g)s 1(ap)k 6628(mode)s 7163(,)s 7270(37)s
220 fnt35 4816 8926(@Meld)m 240 fnt82 5562 8929(symbol)m 6269(,)s
6376(54)s 220 fnt35 4816 8638(@Merge)m 240 fnt82 5713 8641(symbol)m
6420(,)s 6527(33)s 220 fnt35 4816 8350(@Moment)m 240 fnt82
5888 8353(symbol)m 6595(,)s 6702(57)s 220 fnt35 4816 7774(named)m
240 fnt82 5535 7777(parameter)m 6496(,)s 6603(15)s 4816 7489(Nested)m
5538(de\207nitions)s 6546(,)s 6653(17)s 220 fnt35 4816 7198(@Ne)m 6(xt)k
240 fnt82 5540 7201(symbol)m 6247(,)s 6354(56)s 220 fnt35
4816 6910(noh)m 6(yphen)k 5820(@Break)s 240 fnt82 6623 6913(,)m
6730(43)s 220 fnt35 4816 6622(@NotRe)m 6(v)k 5(ealed)k
240 fnt82 6343 6625(symbol)m 7050(,)s 7157(60)s 220 fnt35
4816 6334(@Null)m 240 fnt82 5461 6337(symbol)m 6168(,)s 6275(58)s
4816 6049(Numbered)m 5884(list)s 6182(,)s 6289(75)s 220 fnt35
4816 5758(@NumberOf)m 240 fnt82 6108 5761(e)m 3(xample)k 6918(,)s
7025(82)s 220 fnt35 4816 5182(o)m 240 fnt82 4991 5185(g)m 1(ap)k
5389(mode)s 5924(,)s 6031(37)s 4816 4897(Object)m 5460(,)s
5567(1)s 220 fnt35 4816 4606(@OddP)m 8(ageList)k 240 fnt82
6355 4609(e)m 3(xample)k 7165(,)s 7272(81)s 220 fnt35
4816 4318(@OneCol)m 240 fnt82 5828 4321(symbol)m 6535(,)s 6642(47)s
220 fnt35 4816 4030(@OneOf)m 240 fnt82 5743 4033(symbol)m 6450(,)s
6557(55)s 220 fnt35 4816 3742(@OneP)m 8(age)k 240 fnt82
6010 3745(e)m 3(xample)k 6820(,)s 6927(80)s 220 fnt35
4816 3454(@OneRo)m 3(w)k 240 fnt82 5947 3457(symbol)m 6654(,)s
6761(47)s 220 fnt35 4816 3166(@Open)m 240 fnt82 5622 3169(symbol)m
6329(,)s 6436(62)s 4816 2881(Optimal)m 5654(g)s 1(alle)k 3(y)k
6288(breaking)s 7125(,)s 7232(35)s 220 fnt35 4816 2590(@Optimiz)m 3(e)k
240 fnt82 5953 2593(symbol)m 6660(,)s 6767(35)s 220 fnt35
4816 2302(or)m 2(agged)k 5667(@Break)s 240 fnt82 6470 2305(,)m
6577(42)s 220 fnt35 4816 2014(@OrElse)m 240 fnt82 5761 2017(e)m 3(xample)k
6571(,)s 6678(85)s 4816 1729(Other)m 5420(character)s 6301(,)s
6408(13)s 220 fnt35 4816 1438(outdent)m 5604(@Break)s 240 fnt82
6407 1441(,)m 6514(42)s 220 fnt35 4816 1150(@Outline)m 240 fnt82
5785 1153(symbol)m 6492(,)s 6599(46)s 220 fnt35 4816 862(o)m 3(v)k 5(er)k
240 fnt82 5295 865(e)m 3(xample)k 6105(,)s 6212(72)s
4816 577(Ov)m 3(erstrik)k 2(e)k 5875(g)s 1(ap)k
6273(mode)s 6808(,)s 6915(37)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 95 101
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
1 LoutMargSet
grestore
240 fnt83 0 13843(Inde)m 4(x)k 240 fnt84 8833 13840(95)m
220 fnt35 0 13246(p)m 240 fnt82 174 13249(unit)m 553(,)s
660(37)s 220 fnt35 0 12958(@P)m 26(Adjust)k 240 fnt82
1008 12961(symbol)m 1715(,)s 1822(49)s 220 fnt35 0 12670(@P)m 8(age)k
240 fnt82 779 12673(e)m 3(xample)k 1589(,)s 1696(79)s
0 12385(P)m 3(age)k 518(layout)s 240 12097(principles)m 1233(of)s
1451(,)s 1558(5)s 240 11809(in)m 483(practice)s 1241(,)s
1348(77)s 220 fnt35 0 11518(@P)m 8(ageLabel)k 240 fnt82
1309 11521(symbol)m 2016(,)s 2123(70)s 220 fnt35 0 11230(@P)m 8(ageOf)k
240 fnt82 1016 11233(e)m 3(xample)k 1826(,)s 1933(77)s
0 10945(P)m 3(aragraph)k 1023(breaking)s 1860(,)s 1967(3)s
240 10657(in)m 483(detail)s 1015(,)s 1122(39)s 0 10369(P)m 3(arameter)k
971(,)s 1078(4)s 220 fnt35 240 10078(body)m 240 fnt82
774 10081(parameter)m 1735(,)s 1842(17)s 220 fnt35 240 9790(named)m
240 fnt82 959 9793(parameter)m 1920(,)s 2027(15)s 220 fnt35
0 9502(@PlainGr)m 2(aphic)k 240 fnt82 1530 9505(symbol)m 2237(,)s
2344(67)s 0 9217(PostScript)m 989(,)s 1096(ii)s 240 8929(used)m
737(by)s 220 fnt35 1031 8926(@Gr)m 2(aphic)k 240 fnt82
2022 8929(,)m 2129(63)s 240 8641(used)m 737(by)s 220 fnt35
1031 8638(@IncludeGr)m 2(aphic)k 240 fnt82 2729 8641(,)m 2836(67)s
240 8353(used)m 737(by)s 220 fnt35 1031 8350(@PrependGr)m 2(aphic)k
240 fnt82 2851 8353(,)m 2958(67)s 220 fnt35 0 8062(@PP)m
240 fnt82 566 8065(e)m 3(xample)k 1376(,)s 1483(74)s
0 7777(Precedence)m 1091(,)s 1198(22)s 220 fnt35 0 7486(preceding)m
240 fnt82 958 7489(,)m 1065(8)s 220 fnt35 0 7198(@PrependGr)m 2(aphic)k
240 fnt82 1873 7201(symbol)m 2580(,)s 2687(67)s 0 6913(Principal)m
917(mark)s 1416(,)s 1523(37)s 240 6625(ef)m 6(fect)k
836(on)s 220 fnt35 1133 6622(@OneCol)m 240 fnt82 2145 6625(and)m
220 fnt35 2549 6622(@OneRo)m 3(w)k 240 fnt82 3627 6625(,)m
3734(47)s 0 6337(Promotion)m 1067(of)s 1338(components)s 2493(,)s
2600(29)s 0 5761(Quote)m 641(character)s 1522(,)s 1629(13)s
0 5473(Quoted)m 763(w)s 2(ord)k 1258(,)s 1365(14)s
220 fnt35 0 4894(r)m 240 fnt82 133 4897(unit)m 512(,)s
619(37)s 220 fnt35 0 4606(r)m 2(agged)k 729(@Break)s
240 fnt82 1532 4609(,)m 1639(42)s 220 fnt35 0 4318(@Ra)m 4(wV)k 17(erbatim)k
240 fnt82 1563 4321(symbol)m 2270(,)s 2377(69)s 0 4033(Recepti)m 6(v)k 3(e)k
1003(symbol)s 1710(,)s 1817(11)s 0 3745(Recursion)m 974(,)s
1081(5)s 220 fnt35 0 3454(@Ref)m 240 fnt82 621 3457(e)m 3(xample)k
1431(,)s 1538(90)s 220 fnt35 0 3166(@Ref)m 6(erence)k
240 fnt82 1281 3169(e)m 3(xample)k 2091(,)s 2198(87)s
220 fnt35 0 2878(@Ref)m 6(erenceSection)k 240 fnt82 2006 2881(e)m 3(xample)k
2816(,)s 2923(89)s 0 2593(Reid,)m 559(Brian)s 1147(K.)s
1371(,)s 1478(7)s 0 2305(Right)m 592(justi\207cation)s 1724(,)s
1831(37)s 220 fnt35 0 2014(r)m -3(lines)k 579(@Break)s
240 fnt82 1382 2017(,)m 1489(42)s 0 1729(Roman)m 749(numerals)s
1623(,)s 1730(77)s 0 1441(Root)m 526(g)s 1(alle)k 3(y)k
1107(,)s 1214(11)s 240 1153(in)m 483(detail)s 1015(,)s
1122(28)s 240 865(printing)m 1050(of)s 1268(,)s 1375(29)s
240 577(size)m 667(of)s 938(components)s 2146(of)s 2364(,)s
2471(25)s 220 fnt35 0 286(@Rotate)m 240 fnt82 921 289(symbol)m
1628(,)s 1735(52)s 4816 13247(Rotation)m 5697(of)s 5968(object)s
6559(,)s 6666(52)s 4816 12959(Ro)m 6(w)k 5317(mark)s
5816(,)s 5923(2)s 220 fnt35 4816 12668(rr)m 2(agged)k
5618(@Break)s 240 fnt82 6421 12671(,)m 6528(42)s 220 fnt35
4816 12380(@Rump)m 240 fnt82 5676 12383(symbol)m 6383(,)s 6490(54)s
220 fnt35 4816 12092(@Runner)m 240 fnt82 5818 12095(e)m 3(xample)k
6628(,)s 6735(80)s 220 fnt35 4816 11516(s)m 240 fnt82
4979 11519(unit)m 5358(,)s 5465(37)s 5056 11231(and)m 220 fnt35
5460 11228(@Space)m 240 fnt82 6357 11231(symbol)m 7064(,)s 7171(43)s
220 fnt35 4816 10940(@Scale)m 240 fnt82 5639 10943(symbol)m 6346(,)s
6453(52)s 4816 10655(Scaling)m 5586(of)s 5857(object)s 6448(,)s
6555(50)s 4816 10367(Scribe)m 5429(,)s 5536(7)s 220 fnt35
4816 10076(@Section)m 240 fnt82 5816 10079(e)m 3(xample)k 6626(,)s
6733(85)s 220 fnt35 4816 9788(@SetHeaderComponent)m 240 fnt82 7277 9791(symbol)m
7984(,)s 8091(60)s 220 fnt35 4816 9500(@SetColor)m 240 fnt82
5951 9503(symbol)m 6658(,)s 6765(45)s 220 fnt35 4816 9212(@SetColour)m
240 fnt82 6073 9215(symbol)m 6780(,)s 6887(45)s 4816 8927(Size)m
5283(of)s 5554(an)s 5837(object)s 6428(,)s 6535(24)s
4816 8639(small)m 5388(capitals)s 6115(,)s 6222(41)s 4816 8351(Sorted)m
5498(g)s 1(alle)k 3(ys)k 6169(,)s 6276(32)s
4816 8063(Space)m 5390(,)s 5497(13)s 5056 7775(when)m 5632(signi\207cant)s
6635(,)s 6742(38)s 220 fnt35 4816 7484(@Space)m 240 fnt82
5713 7487(symbol)m 6420(,)s 6527(43)s 220 fnt35 4816 7196(@Star)m -8(tHSpan)k
240 fnt82 6226 7199(symbol)m 6933(,)s 7040(51)s 220 fnt35
4816 6908(@Star)m -8(tHVSpan)k 240 fnt82 6372 6911(symbol)m 7079(,)s
7186(51)s 220 fnt35 4816 6620(@Star)m -8(tVSpan)k 240 fnt82
6214 6623(symbol)m 6921(,)s 7028(51)s 4816 6335(Style)m 5363(of)s
5634(an)s 5917(object)s 6508(,)s 6615(23)s 220 fnt35
4816 6044(sup)m 240 fnt82 5222 6047(e)m 3(xample)k 6032(,)s
6139(72)s 4816 5759(Symbol)m 5563(,)s 5670(4)s 220 fnt35
4816 5468(@SysDatabase)m 240 fnt82 6396 5471(symbol)m 7103(,)s 7210(63)s
220 fnt35 4816 5180(@SysInclude)m 240 fnt82 6164 5183(symbol)m 6871(,)s
6978(68)s 220 fnt35 4816 4892(@SysIncludeGr)m 2(aphic)k 240 fnt82
6933 4895(symbol)m 7640(,)s 7747(67)s 220 fnt35 4816 4604(@SysPrependGr)m 2(aphic)k
240 fnt82 7055 4607(symbol)m 7762(,)s 7869(67)s 220 fnt35
4816 4028(t)m 240 fnt82 4933 4031(g)m 1(ap)k 5331(mode)s
5866(,)s 5973(37)s 4816 3743(T)m 19(ables)k 5432(,)s
5539(2)s 4816 3455(T)m 19(ab)k 4(ulation)k 5886(g)s 1(ap)k
6284(mode)s 6819(,)s 6926(37)s 220 fnt35 4816 3164(@T)m 26(ag)k
240 fnt82 5439 3167(parameter)m 9(,)k 6491(def)s 2(ault)k
7212(v)s 6(alue)k 7780(of)s 7998(,)s 8105(16)s
220 fnt35 4816 2876(@T)m 26(agged)k 240 fnt82 5805 2879(symbol)m
6512(,)s 6619(61)s 4816 2591(T)m 19(ar)k 4(get)k
5476(of)s 5747(cross)s 6289(reference)s 7179(,)s 7286(8)s
4816 2303(T)m 19(ar)k 4(get)k 5476(of)s 5747(a)s
5913(g)s 1(alle)k 3(y)k 6494(,)s 6601(11)s
220 fnt35 4816 2012(@T)m 26(arget)k 240 fnt82 5703 2015(symbol)m
6410(,)s 6517(30)s 5056 1727(in)m 5299(detail)s 5831(,)s
5938(25)s 4816 1439(T)m 4912 1391(E)m 5020 1439(X)m 5056 1151(h)m 1(yphenation)k
6243(,)s 6350(39)s 5056 863(optimal)m 5841(paragraph)s 6854(breaking)s
7691(,)s 7798(39)s 4816 575(T)m 16(e)k 3(xtual)k
5582(unit)s 5961(,)s 6068(13)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Page: 96 102
%%BeginPageSetup
%%PageResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%+ font Helvetica
/pgsave save def
%%IncludeResource: font Times-Bold
/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
/fnt84 { /Times-Boldfnt84 LoutFont } def
%%IncludeResource: font Times-Italic
/Times-Italicfnt83 vec2 /Times-Italic LoutRecode
/fnt83 { /Times-Italicfnt83 LoutFont } def
0.0500 dup scale 10 setlinewidth
%%EndPageSetup
gsave
0 0 translate
240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
gsave
LoutPageSet
grestore
gsave
0 16840 translate
0.0000 rotate
9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
0 LoutMargSet
grestore
240 fnt84 0 13840(96)m 240 fnt83 8539 13843(Inde)m 4(x)k
220 fnt35 0 13245(@Under)m -3(line)k 240 fnt82 1215 13248(symbol)m
1922(,)s 2029(69)s 0 12960(Underscore)m 1158(character)s 2039(,)s
2146(13)s 220 fnt35 0 12669(@Use)m 240 fnt82 665 12672(symbol)m
1372(,)s 1479(62)s 220 fnt35 0 12093(v)m 240 fnt82
169 12096(unit)m 548(,)s 655(37)s 240 11808(ef)m 6(fect)k
836(on)s 1133(paragraph)s 2146(breaking)s 2983(,)s 3090(42)s
220 fnt35 0 11517(@V)m 17(Adjust)k 240 fnt82 1017 11520(symbol)m
1724(,)s 1831(49)s 220 fnt35 0 11229(@VContr)m 2(act)k
240 fnt82 1252 11232(symbol)m 1959(,)s 2066(49)s 220 fnt35
0 10941(@VCo)m 3(v)k 5(er)k 240 fnt82 1006 10944(symbol)m
1713(,)s 1820(50)s 220 fnt35 0 10653(@V)m 17(erbatim)k
240 fnt82 1129 10656(symbol)m 1836(,)s 1943(69)s 0 10368(V)m 26(ertical)k
797(concatenation)s 2129(,)s 2236(36)s 220 fnt35 0 10077(@VExpand)m
240 fnt82 1161 10080(symbol)m 1868(,)s 1975(48)s 220 fnt35
0 9789(@VLimited)m 240 fnt82 1123 9792(symbol)m 1830(,)s 1937(49)s
220 fnt35 0 9501(@VScale)m 240 fnt82 969 9504(symbol)m 1676(,)s
1783(50)s 220 fnt35 0 9213(@VShift)m 240 fnt82 863 9216(symbol)m
1570(,)s 1677(48)s 220 fnt35 0 8925(@VSpan)m 240 fnt82
927 8928(symbol)m 1634(,)s 1741(51)s 220 fnt35 0 8349(w)m
240 fnt82 216 8352(unit)m 595(,)s 702(37)s 0 8064(White)m
640(space)s 1174(,)s 1281(13)s 240 7776(when)m 816(signi\207cant)s
1819(,)s 1926(38)s 220 fnt35 0 7485(@Wide)m 240 fnt82
774 7488(symbol)m 1481(,)s 1588(48)s 0 7200(W)m 9(idth)k
646(of)s 917(an)s 1200(object)s 1791(,)s 1898(24)s
0 6912(W)m 19(ord)k 531(,)s 638(14)s 220 fnt35
0 6333(x)m 240 fnt82 168 6336(g)m 1(ap)k 566(mode)s
1101(,)s 1208(37)s 220 fnt35 0 5757(@Y)m 4(ield)k
240 fnt82 753 5760(symbol)m 1460(,)s 1567(56)s 220 fnt35
0 5469(@YUnit)m 240 fnt82 814 5472(symbol)m 1521(,)s 1628(44)s
220 fnt35 0 4893(@ZUnit)m 240 fnt82 802 4896(symbol)m 1509(,)s
1616(44)s 
grestore

grestore

grestore

pgsave restore
showpage

%%Trailer
%%DocumentNeededResources: font Helvetica
%%+ font Helvetica-Oblique
%%+ font Symbol
%%+ font Times-Roman
%%+ font Times-Italic
%%+ font Times-Bold
%%+ font Times-BoldItalic
%%DocumentSuppliedResources: procset LoutStartUp
%%+  procset LoutTabPrependGraphic
%%+  procset LoutFigPrependGraphic
%%+  procset LoutBasicSetup
%%+ encoding vec2
%%Pages: 102
%%EOF