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% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. |
349 |
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350 |
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11 dict begin |
351 |
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352 |
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355 |
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356 |
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358 |
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359 |
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end readonly def |
360 |
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363 |
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366 |
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dup 66 /B put |
367 |
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414 |
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%%EndFont |
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429 |
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%%CreationDate: 1992 Jul 23 21:22:48 |
430 |
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431 |
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|
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. |
432 |
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|
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433 |
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11 dict begin |
434 |
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435 |
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|
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436 |
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|
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437 |
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438 |
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439 |
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440 |
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441 |
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442 |
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448 |
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0 1 255 {1 index exch /.notdef put} for |
449 |
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dup 18 /parenleftbigg put |
450 |
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dup 19 /parenrightbigg put |
451 |
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dup 20 /bracketleftbigg put |
452 |
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dup 21 /bracketrightbigg put |
453 |
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dup 32 /parenleftBigg put |
454 |
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dup 33 /parenrightBigg put |
455 |
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dup 88 /summationdisplay put |
456 |
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457 |
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readonly def |
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460 |
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currentdict end |
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462 |
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end readonly def |
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0 1 255 {1 index exch /.notdef put} for |
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570 |
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dup 83 /S put |
877 |
|
|
dup 85 /U put |
878 |
|
|
dup 97 /a put |
879 |
|
|
dup 99 /c put |
880 |
|
|
dup 100 /d put |
881 |
|
|
dup 101 /e put |
882 |
|
|
dup 102 /f put |
883 |
|
|
dup 103 /g put |
884 |
|
|
dup 104 /h put |
885 |
|
|
dup 105 /i put |
886 |
|
|
dup 108 /l put |
887 |
|
|
dup 109 /m put |
888 |
|
|
dup 110 /n put |
889 |
|
|
dup 111 /o put |
890 |
|
|
dup 112 /p put |
891 |
|
|
dup 114 /r put |
892 |
|
|
dup 115 /s put |
893 |
|
|
dup 116 /t put |
894 |
|
|
dup 117 /u put |
895 |
|
|
dup 118 /v put |
896 |
|
|
dup 119 /w put |
897 |
|
|
dup 121 /y put |
898 |
|
|
readonly def |
899 |
|
|
/FontBBox{-163 -250 1146 969}readonly def |
900 |
|
|
/UniqueXX 5000828 def |
901 |
|
|
currentdict end |
902 |
|
|
currentfile eexec |
903 |
|
|
8053514d28ec28da1630165fab262882d3ffd20326947b1065649b533eb5e9e3 |
904 |
|
|
a88a87fe987918a687950b26f647d6e08bf14d983ed1d4a8ca1e2da8d985f944 |
905 |
|
|
2eb916f5b6ed0697ac7c33e1e36a3bf460d34ce45f1631871097cb04f18e3889 |
906 |
|
|
4cf4ac1538eb19481311d24fe3be7beaa4a3730e8b4831fe59d6d9ce2e46116b |
907 |
|
|
629c7ba2f9ce3ecba2f43bc162a5a077ca1b2882a42afdcec3f4b75b5d63e0bc |
908 |
|
|
8e5dc95257766d8ea467ad9cbaf47be60f797580cced6884b3a68f70c91f4fdf |
909 |
|
|
80fd00ed9139e7f480dc3a76af72ad9b434187730bdfaefe4cbfe5c7edcaaf24 |
910 |
|
|
9204fd703011932e5a3c27be468b7dab69daa18dbbb6335ab8ddfdc607961c7c |
911 |
|
|
02582763fa069d43563ba17704029945cf42fcb19cf78c51df0ec4d851086d43 |
912 |
|
|
c1ab38e865ef36865fff3a08b01cbcb070ba4893f7482dc7819ad03d337e520e |
913 |
|
|
7d8cd83bb8ac7aff4df36751f4f12aaaea2b6d7260c09a26e987c904003e0723 |
914 |
|
|
7dbcc4a8e4e85cd3259f40d3caf55c742cbb40ad0db1044c20a4f122a63f7b81 |
915 |
|
|
1d945bfa69662189ce4d089464d2ead9f6ed60b581b04114d5d45e97be27a576 |
916 |
|
|
35154e9b8464f2a0df18da855eb51b8f64d3054b0b2e84621f025a0776d16fed |
917 |
|
|
b988a43d2d64c32768dd106b9f541ae8e68ac0bb7399e16f4d4ba074b2152d0a |
918 |
|
|
4e9b5bfc21bfa0d531e28165e518ffc054dd4ed0d74eca079d20e79670419f92 |
919 |
|
|
e03bcbfeecf3554d661596f6f29e12170804d15a250d917ffe7a8b6e8fa53047 |
920 |
|
|
1ed97ba56481589a65ca13619129f1e26affe6c22f0c38540f8ce37efb6e9e9b |
921 |
|
|
60b51a5a9cb4454fd7c7f92f2f9437159687ab590f35b946a54491a7739c9269 |
922 |
|
|
e0f1fb48b129811c82edb3171cbd5105fe65906974db8a7da92f4f43dc7f6b36 |
923 |
|
|
6981146d86d23613a0b38d9d6191db9fea0172e982cb1cc50e382f69da1b377c |
924 |
|
|
1be9407f88a2a761b56f398467a057f35d18c01cc377e006182c891ec80272e2 |
925 |
|
|
2e3a5c7123cd27eccdc87392a9fdf63bb40f02b7649cfc53ef933c6518744cb8 |
926 |
|
|
9cbbd437830ef5b1d58b00b67bbcf4426dc1e6ef583b0b4ad3aebd741e3ff0f7 |
927 |
|
|
29ae271f032019b1e7268043fd215be590f9cf24da14a90f1683afcba8006cef |
928 |
|
|
5d5632c2481fbc1bd8224e8952debb7c4596a237e5505ac143180956ca1f603e |
929 |
|
|
ec70cdb4a33e1c4ca174436a38b06fd9d2b9196f02114b77a9a5f66595727faa |
930 |
|
|
ba323668573ae328f1f84e5a3e0e7634d559479c134207aad7a949da589970c8 |
931 |
|
|
da77d71a20a8ffe72beb0643b81044daf53e79809e17a14cce790765c281b4c5 |
932 |
|
|
cd8c35a9f87a34fe5981c199ffae7fe41503e38d5f437d0134d3a0a7bbda0350 |
933 |
|
|
4bbe59c8585052ac7c18ce6b421449d73b16961298c14548b796d7a2198080f3 |
934 |
|
|
45be1b247c5a2e454e47886dbaa56f166a4b875a9cc7b735bd0686a3570da5a5 |
935 |
|
|
ae911fcd2159fef835f73b4721f47d4734828e4c7e30997976d6c457941ec11a |
936 |
|
|
e59c8de8fdcd954c78ea7937031d7fc78b28014875117e712d2e301e06a5aad5 |
937 |
|
|
8d1a7e3988ea54ca49f07a96456dc6e706026f2eb17a7173296dc0af329002a0 |
938 |
|
|
16f74ba820800c72fc1100acd6632eec4c67cdc7bbdbff1406d2cf7006d90651 |
939 |
|
|
920b2bb2afa79aff0e232ebcdff422e774afcbb188210b4fb21c81310a400d53 |
940 |
|
|
73d910f938ab624b4e9f9268315c41409d0b66d9cb6c12f6e5db8b10d6222b52 |
941 |
|
|
22efd53214186a5f1c2370ed17aed3729742b1f732a117e397e7dcc63b8c74c5 |
942 |
|
|
01675da3ffcf1e17f77bf54d6cf2f1a686c90048cd0c0911751f11d0c5cd7144 |
943 |
|
|
35c1e83ae9f99938c65b5c2612eb54d9c6cd972700988d77f98dc45a4569bc10 |
944 |
|
|
a0bde9b9448b71b261d874f08b291e39637e920203339a946076ec43a049914c |
945 |
|
|
ee251d229217b47464209d42f3ccd156582e5b58ccc0c132d41868aaaeea3d15 |
946 |
|
|
4f3a8a1897beaf5fa15a046cb96d74afacd1d97f6a9645df512355e8d882e4ee |
947 |
|
|
faca340a1f901a70a5a4633bf6b3f6434c876d7aa4bd9197a061868c11fe86a2 |
948 |
|
|
068b6d8b343f4160f9d4bf3ab145b7b1fc24b04c1c14e9608a61ba1adac4d5ef |
949 |
|
|
68329d2f0b0ea67c89b24755107954f23ef408d1befa1904a88fcb7ec1267926 |
950 |
|
|
35bc9b4f6d8884f2fdd6767d4881d12fc42e35f8b087c3b37399f480ce917eee |
951 |
|
|
21d1829502a97d4e94dbc6599a6a166b22b650da3f1cd8fe7ccb0d061ced6aca |
952 |
|
|
ab6f6012c43a12243dc8a600b0aa11440fe9e1227b01c072c6e11f531259511f |
953 |
|
|
b0de578181e0f85986b6f8521d04ca9cd6aca9834910781b8a8bcad2b686ebbd |
954 |
|
|
3faee330f823f23a74cafaca85ac5ac5776e50cd1b42202cf2e9ed20e25b680d |
955 |
|
|
4a1076cf4b44b0d230827c7e50026ddc452483248b530e1682e90e0135b619dc |
956 |
|
|
9d2275465a44be98f6e8f0d79289ca0bed7df2c1796204e77baed89b2d65965a |
957 |
|
|
842a0e1b51a7f6707014e4fdf32bc9af3682223ecdb4fbf0c5c6d852b905c7b3 |
958 |
|
|
83d869c23a4353f29739df9e0ac549f60a24c2f502b1ab5174d437e649061a66 |
959 |
|
|
c94155bd84bc42e267c954c3bab59f54b5df06475549fa9607c3bc4ffb85c754 |
960 |
|
|
6b35f903537cef1c0139b484a70fec08550687ae154899c75e4280c312b1b562 |
961 |
|
|
206366a823360075d4b189a7f57d7d9aa4971236261b5e72af82656c888add26 |
962 |
|
|
476b322b3154b503731e52c4c3893e74285215d753f98d82efe1957e1c0dbe3b |
963 |
|
|
238b69c408134990b7b94d0c7f3159ff259133fef39b23184aca3f55bd746a9e |
964 |
|
|
7547bfc798b1cba08c42ee5df74a07c918b121adbaf47a4202b45ca0f5ccb4bd |
965 |
|
|
4a4f51092aa6fa37740c19945df2d62f8dc7c9fe7060f6ce1a3a74202fd34884 |
966 |
|
|
035576f9f2813833f01da73ef209a27ebe3d255017ef770ce428588299a43d1c |
967 |
|
|
26e9bb210e3670d6a0117527c5ae034c0528ca412f994cf43611cecda463272c |
968 |
|
|
fcf255ad361263b881c5298520336b58c7ffd1c7bd4f9712d38d23322827a384 |
969 |
|
|
fb325092e2693d9968ea89b857db8c15828cbfcac1179a93cb5de13b2ff15edc |
970 |
|
|
6870253f563fb9b13011dc2f7f1322ef5e03da8dcaaee3aa3801c02f85b63ac8 |
971 |
|
|
eeac7e62b165cbe6e2cd1d5e1ab273a2534f70608f900bd6f5c1c9781c16d6b7 |
972 |
|
|
84b69bd9ba3921429b60ba32da1fc7ea426215af1fb251bd0030e152d72a0f0f |
973 |
|
|
504bb27a5ac5ff827de7df7e1de303bd541b968def0eeb1b003f93b3d6c7ab2a |
974 |
|
|
6011d29103c78a701866683dc093c285840f0c578b89e0d6074a1657a658bc68 |
975 |
|
|
9d4476a7e538802e8f04e0c03da1fedfb4d62de98ba2b61032365fc6e377ab13 |
976 |
|
|
5b3af73680d8cb349c959c51c04ef7a507feb2bd694342da84eaa176023ea371 |
977 |
|
|
8a734ea91e3761ee05284bf5f524dc5d0fc0a5a0b44c3528bcf10cb712c7b59d |
978 |
|
|
58daf2ad823c7478a4194ea61908f8f358d44804ce290d0fb7cbe1711b1f69a9 |
979 |
|
|
cee1e1b7206a62c99bb8c1506631ae4067da8e407da2370aaf1f90c8f1866706 |
980 |
|
|
6dd01b2afcbd7ff6406c7c697363d4bc17b7e4f4d010791ce85d1523e9217e9c |
981 |
|
|
19b098371460e6374e4a997b54151c13650bac50703ba9e7de847f7216cb43b3 |
982 |
|
|
58ce1e87aca33cee8048f1ad6de770f74927cd0965f95bff80729005d83e1f5a |
983 |
|
|
888d0239d4c2045eb7f5f4d0607b55b21a11bda0c611ae8358cdacf91fe22453 |
984 |
|
|
64ff1b6389f79b5bcd9386258c2dc5a27bd2d82b9829c0da64d2d15033c55b2f |
985 |
|
|
57d22245bf0ea1b9f3b92dcaa3d9742568e527f4d0a68c5d430b19c11ba93336 |
986 |
|
|
55b3efe36231718445a16557f2b25f7e93d7edebc73f3af17c821de8463771c6 |
987 |
|
|
c56ce1d5a41264a76ed2053b2b9af9fc236ee57175d87d96624cec36571c3ff1 |
988 |
|
|
a2f0ac1dc1fe26b5b5fb1e0082cc85eec3988449c9bb562a035053c3b2ccdf7e |
989 |
|
|
c31be2e336d0912ae1edcbfe70a8098c9970172a908e9dabf2b1bdb7f9d8f794 |
990 |
|
|
2e8fec0b3e354ae05164f94668d6ab62078abee5f1b5784d8fce8717f63ab283 |
991 |
|
|
c931259f3548971f755a93ce313752b9e32f1c19129bbf77f78e938d140682d1 |
992 |
|
|
eb6a923d43d5b4d2e90a73a41f267f73272e29a1aac47da6d4d0aa78f9030b10 |
993 |
|
|
15757e8e9a32141e4dda649909ee5e078653172f93c4139c8f3004cac97f0aac |
994 |
|
|
2a6ccef8f6ae3734947c048ef0ce211200703e302ca2efabefd34b034f033797 |
995 |
|
|
cb993fe8b82527f0f097990ad4318ce171447f6237da54c1608151b9116680a7 |
996 |
|
|
102209a117fd239950fb101f5fcdd82f18df0de97f2dfd37b0deae68c214505b |
997 |
|
|
e94d034497b32af389575c7d6f70ee8177ce1735c74261f4e907ee7066121854 |
998 |
|
|
9da03981841c5bc5f8b844652901acb5d71822bdc387c5bccf7eab79b7701f65 |
999 |
|
|
fb9ff2b08dfd1b3f5c5afc3eb310b10256da6cfcd0af47968176e2756cb5ac4e |
1000 |
|
|
588aa2f9448d785815564242a81b598a64d1891d657b688581ff6ed5990e68a0 |
1001 |
|
|
c3466e25d80e25d638a05bd9a1ab8ab97985256390db36f6a5a27128818e745f |
1002 |
|
|
fcd97a5970abcfc9d80b4e4befb58dcf2de93e26def3d7ac284dba7845f1127c |
1003 |
|
|
0c94b22bead2ce0933af0d909756640ad2173f62a054d2973ad97c2176c0615e |
1004 |
|
|
e78130e4d9a549d6ce0f7dfbbcd3e9136cfaf4f96e9ec57a425d460c07404401 |
1005 |
|
|
c9e81593be77465823cdd1ba5e9a73138fcd488bc7fb989148cbe2ab7f261c19 |
1006 |
|
|
e4156936a81b88b43d07fd8dd85e72400745f4c31c27692f2257783a6eb863ac |
1007 |
|
|
861a134bce94ccd8c261b805e0025fd2cbb3e66fa3f52a475da5d76b02b3d085 |
1008 |
|
|
dbed88de9074dee6e0a35031e4dc8eab8bd799242e72e8403ddcabedbb44060b |
1009 |
|
|
38aa603f1afde60303c40c0d7d90707db7b77d93b0f74fae1b8922b1c06a96cb |
1010 |
|
|
3e5cca3ebc633bad696e696b900934d93cd86080fa6ffa4330b20962dc59925a |
1011 |
|
|
ae471daa86661fa44c820c64ec46e09cea6cce269af303d57800e00b38f659a8 |
1012 |
|
|
adda5cf0fe804f1b833c793471562fe506f435227418e67abbf6cac3f132f40b |
1013 |
|
|
e830f5586bd031da88e15e136bb56728d06c4dd30a32423e6e9130b2e46407d4 |
1014 |
|
|
fc2f57d7abb41a7ed3b2a7e8c4022b80468e486152156588fc34a8750cab1c9a |
1015 |
|
|
a1501cb6dd5d6c3d08a30803f24d9b9d8f1560e5a895b2febdd9e869220c4e4d |
1016 |
|
|
e1283eab8b521984e63f6694bfbfac765b709ea3d0bdb69bbc482edf65a923f2 |
1017 |
|
|
87c0c6995610d87b2a9e0c24a170d9f1ee6ef8c237b6470f6f36cfb91633d3f8 |
1018 |
|
|
3fbb7f57980bddd6012c387451e164b63025d9e82f50bc00af76ca8d59374516 |
1019 |
|
|
1e7be37c75e7dbc34f94f8b9917d62d1cb8dfcb695f22d4f177956dbb91f2411 |
1020 |
|
|
293242d9508c27d8b75827c60046629943a5dd56d07c8e0fe1be153f8ea8ebd8 |
1021 |
|
|
a9d4980a9c7c3b01954c761ad61c74b5b5017ff84e7a7e5e7abaf5cef64328bf |
1022 |
|
|
09496cf8bc56cb424c59d9ad80e65cb9b5985cfcee70a8c12c06a1528e82723b |
1023 |
|
|
1917e7620c9ce4d9c977709f4c36efd01b9106f4ea8907f1073752d1432047ac |
1024 |
|
|
2eea909c3b66dc1e29ef499e79417aa546c70e2d7e566ae9fbe740955295bb8d |
1025 |
|
|
168ae4b32dce5b9c7b5f54d66c7bacc8c40d19af4d90a9c9a0782c32fc9b4170 |
1026 |
|
|
2d090c5d2773f8919961861e72ee98b2eea737b165acc425a2b0c2c939ead3b0 |
1027 |
|
|
0c8f1ee8ca24c294b1438b2f9fe68feae15a2e186a8f63bc37e496d0ac86bf44 |
1028 |
|
|
3663a1e6114e90b786bf103b7c6d021e873c7c9c229c480c69146d4759fe8a01 |
1029 |
|
|
9a64692dbfcabede6f64bf532f959b0811d35bcc22f7bdf1eb143a7e693cb170 |
1030 |
|
|
d3b56c3e4e12d339e5971adb442b50ee8b6156e46eaa5da05e85797cc7efd2bf |
1031 |
|
|
67973319d97a6774ae952dc1d75d54fe26268d1498f00f4225acbc3e3503ab80 |
1032 |
|
|
5a9a8687924750abc1ada7fd4d17846c3cacf49b9b500153559a88b4f16ae55b |
1033 |
|
|
1656e9e48b1e345587fd0855aeaad74e1ee0572bfa4bcb2453a106086cdd4074 |
1034 |
|
|
6b33c4aa2d7364ec04c2f6ba0a101e6e9f069fc0e196c7e68ce3e7f367d9e301 |
1035 |
|
|
b5f259b7575d18e8e6c0c9d576f5432604725bb6e0f30d21340a2754cc0ace37 |
1036 |
|
|
f2d9cfc41e79a6dc12281e30c742729751855cec9e572565d3935df3f6f41a91 |
1037 |
|
|
52381e773c10b4f9b18521628692a7677449644c5e459331d296070caf758be3 |
1038 |
|
|
8d8a01ead7488a88f06adcf1cc9a30b8a7ac75b75ad3cd03a03feb1a4ded3d8d |
1039 |
|
|
c36ce65853aa07173360e516ff752672c782c30a8fb3aee607d4c593d0f6e653 |
1040 |
|
|
8783769a8884fa7c5fe2caad9fc8b8dce571518a81c238574532ac96475d3af3 |
1041 |
|
|
1ebb4d101e273646df91cdc9c3ae2b5ce926dd867506451113f2462f801cb37d |
1042 |
|
|
2858490b8ac0f1f3b6c50b370a285c076b07aa9a294c2af5bf1e2cbfbefed5f6 |
1043 |
|
|
90e7b43e7894abb067c9286dacb698c6cc855f478dc00bb71a49ff56fd1f6bac |
1044 |
|
|
20f2001d78681a01a997513787f2dd4cad4982605bbd6718aa9b30fb04f9add0 |
1045 |
|
|
76e9c7fc0ae183c6e7dd4a320b227514580befcbc7d0b13cede9f9632da6a1c5 |
1046 |
|
|
041c3a16b2d6a0ed62de569722a16edd8b00e1417867d932afadef794580b599 |
1047 |
|
|
69b159396ed7ad3891e24716578c8a89d2630cb0d2f9c6071a146f25d5c753ed |
1048 |
|
|
3f072b4b5f76587232fff5fe5fb4f17f7317aa0c9a0584a08ffacc9793ba12dc |
1049 |
|
|
c7489e2540f9eb027407932057e59a82a9de5f6fc324077b530b9228ab6099a5 |
1050 |
|
|
bdeb63b10579b3454193a59efd33584cd3351d95480dc857174847e1b14389de |
1051 |
|
|
dbc4160280408e108c16fd053acce35494f814080ea1ed2bf4bb9eff10033a67 |
1052 |
|
|
dc9ffaf7196aba032038e10a2b650708f1549d9c658ff8d48e2ed4e50d28ab4e |
1053 |
|
|
f249db13a68e6e5e5678c3cd26b802c0294d86a21c10cf90c7bebae55125c2e1 |
1054 |
|
|
f8c7980a0b985af8b3d614c7697087c3ac67273669e32fa4ffe4eb3cafc60297 |
1055 |
|
|
94de76885b01504a3b5173a896d62a2e99c46ed5be2eec5b42918d0f753391ec |
1056 |
|
|
ad3c43532bb5cf30224bc5303bfdc57d8f9331e3ed830e0e4ffa7753309d473c |
1057 |
|
|
5c513b57d883e3944b35d7955bf7992e97aedbacda8ee87062cb967add716b95 |
1058 |
|
|
fa48fc3b94c87b56ef279083e8fd91f278e6441e955442765a771f4d68c9768b |
1059 |
|
|
65b480b6dbd748acbf9a8e2ab6f05a5fe51f35647947ec5fb244971aef22a699 |
1060 |
|
|
faed52db74800e6cfd018e75ccd7f282047f5b98a624acfe0256e498fb88d6aa |
1061 |
|
|
0c4f3ef99e81f6ff00e8ea1ffab556b2507a5a8310c7aa0565c000ab4d3f33e6 |
1062 |
|
|
5f7dcbcedc6862aa8c1b2424745d2eaf1428999be3e0ad25fe5a0a7bb8e6ce6c |
1063 |
|
|
e4b51e9ffbcc5a0e7a90fa97183bc3ec7fbfb356015f82ebc84adaac17bc5ad9 |
1064 |
|
|
37e5da0cb3aa993bc5eeba43d35e0acf5ed2e71ca858c9a5259157da9f23e1fa |
1065 |
|
|
c4965a03fa430bb42d8922b55969a69b696c2f5f1f26ba6ec40fe1b086884134 |
1066 |
|
|
a79d3382c917bd7df15e988ccfd71a8cd3ce048a4eb25e45c373ff5c9250e3ef |
1067 |
|
|
e03e1dd727073e8ea603cd136d958ac396f63bc3b4b17f896479ef1087728095 |
1068 |
|
|
74aa9da201370b6d38ab61491563bd126005ed02d6a950442dea15aacc1a3af5 |
1069 |
|
|
e759bdd37793dd3619198209d9f95c653038ee83b51f7f1895947873ec6cf4a7 |
1070 |
|
|
6b5487d9da38faa64fd4fae1458325a6ed05f6a7a6fab2276a83cbbc9e750e12 |
1071 |
|
|
a3ad855b7197185fbe8a6479c4264404357e9ac53ecb221c41df71a7e55ed04c |
1072 |
|
|
27be9587c9ef2025c833f397cca19bd59efbecac2c850004e5d4d5b83e5ba933 |
1073 |
|
|
3e957a2c0950a2aa5c8cffaf3fc9260d6265b9c549e3931a8bf6edbd4b18839c |
1074 |
|
|
f112625c3cb36f71687a8aa9d016c8193a6771db1796ff443964fe64c88c9ad9 |
1075 |
|
|
f8de987d3f1a83ebc08c0c37ece240ae47c15eea6d793f1dda540d58892adec5 |
1076 |
|
|
6d00d17d356519ee4398adf5a360c68acb6cef50c7f4067a487905d9451cd7c4 |
1077 |
|
|
a13751998472905f1bb61a968541e92dc12ebda08a697be067fb5c011c163651 |
1078 |
|
|
b8900754f5e4f8b5e3bb9a3217143527d91aeef4f47e5063510b2aec21bab018 |
1079 |
|
|
87063e49ffa50513d4d503284db5813b0aa0b6215d3cb12e75490f12722e0455 |
1080 |
|
|
da29fa354d5dc5c2a634b063626d7b736e518263aa6d5809cf307b12ce4aa06f |
1081 |
|
|
dd4787f44f6ba32cf1b4cc348505380f89500aab9eb4a9deda1cbd90d99558a2 |
1082 |
|
|
2e843eaae28a5b30e5529e5001c6f9df4aff425afaecebac69fe4eae01547ff2 |
1083 |
|
|
46c78e52428d60370b1da78da4a0d446421408759947083e13c78d5ffbec4a22 |
1084 |
|
|
883ceabc12869283ad73a8679c32a46533a3a42b9f570419a65381dd7aecb13f |
1085 |
|
|
60198f34b85be4c77bdf6c3b9c85a8a49ccb5ee3d4c3a538c5d407900e25017e |
1086 |
|
|
056864bd3a9e19df477c1bc8d6af2979b453c60835778ee5796fc74f945cc011 |
1087 |
|
|
0c60623e282a0f988e4987381c9cb11771457ebaa1a842525807721cfdcab735 |
1088 |
|
|
e3337271b7c731c3f083e6145fb3ec3afc62b750c4019fb5adf1dd3dc1e71fdb |
1089 |
|
|
a81bc74e8cc87c53ad6e8011fa2d2b402e3bda0b101fa5887c138bef7810ba78 |
1090 |
|
|
2e97d3e7fef92cbb45f87ca2dcd9b1eb2bd81367d65fda3df1ca918c27285cd7 |
1091 |
|
|
f89038c2152520a70146f45d100a9bf33a045248965ae098d4427bb6c95e40ef |
1092 |
|
|
0005d6362c3bc0d645218ea2e460a5ee204c3577c4eef4fb5ccaca4b33c8dc73 |
1093 |
|
|
3a56b0f07ef6b782860fe2d43e0c1546e618eb44cb9057c07115fa9d884f07a7 |
1094 |
|
|
fca76fca26ea8924d3f56943fab34138cbdc12512e259e805e83903a22c2f64c |
1095 |
|
|
5a1ee735a34e1b19c5dbf79f22e7f2f627b059a88383985d3d2c5f89a190586c |
1096 |
|
|
f31dcecf16fc5f08056c99a9eaa7aefa4a00b2ab4bc89b592c3d04b4e12fdb8a |
1097 |
|
|
dc89965d01d3ea818ccff6e4509b9826a0f8791cc9b6b3dd6b50bbb5947fad15 |
1098 |
|
|
43919b26bf333a6c32df7dcfd7a7b8e6d9ef067ca7bbde2f728dc782858d87fd |
1099 |
|
|
8b9eeedca208f12e217a8dcfff2ebf66e7fbe7c0539c1d22db79c6d1ebe927cf |
1100 |
|
|
a4bee2facb81940812eed5c7031365f5f11e24a41bff40eeac961363af21bfc1 |
1101 |
|
|
3741854c3c63ef90987f077c03efe10f0ca8f6a2759f1c4f223be48dbe138ee8 |
1102 |
|
|
1e7708cda8acda8c01607cb2d2a34b32bf2e2f36d18ebd49a648acd254935b71 |
1103 |
|
|
df12e89653894f7726c0845c6b25f94ea3a6445f80f163c773b74288e1a1cb4c |
1104 |
|
|
2920d1aec2559f13534f8bfe1921aaa7ebd4c0035a04dcb4154818e6175364be |
1105 |
|
|
c7b975c6407d1d2b6051a7c09a4b9e1ad89f6a26f4152b708587e98ff946747d |
1106 |
|
|
559fba8a53d3e5fbcc76a4fb5b2377daab4d69bcc428bede261f2952f105adfa |
1107 |
|
|
ddcf9cc75c0556d5f52d9e794a518246bd0519a703f5a1449c65fd728252e592 |
1108 |
|
|
ea103a0e5aab43e3f580d7c58e69e31450b047134628dac5eefa40112cbb8845 |
1109 |
|
|
d4dfed106194126e9ba1666328984fecceafda99f91087fc0138bf08075611c7 |
1110 |
|
|
a845094d878f21da93bc6dc8fade280406bdcfb934f1dd6c4641caf69b5dbdf6 |
1111 |
|
|
ba14faf0887ca46d9dea11a0791925cef2dbca620e38a054ca34cba399bbb17d |
1112 |
|
|
34c0c8ee389e1fa5000225a345cb7d9e6b5f976cc1dac4a65ef52a4a5aa7a9b4 |
1113 |
|
|
0f312001b5701e14d1797ed6883e7a6e98cf7dc2aff6f87680b7eef48018efd7 |
1114 |
|
|
157b97ed5ae593ae5afa1efcf293f8d3447b9fa6a6e2b29f4f4e8a708e0bc8c3 |
1115 |
|
|
54b18c59aca8a2f0dd9604b0835b05abed2879f3b251e0ca0bc59dd05ff78f18 |
1116 |
|
|
e16a51351d14c5f9c0895f35c88720f7181f714fa2bc0587dc3727d8c2e50ce0 |
1117 |
|
|
ab6cd771bb4d7197699718c55507527c068ae2bdde697356a4c33ac822abc2f8 |
1118 |
|
|
7f705a2e1ee8b16eafd3d9e3d43c9d6e88be64352f7bf53e5c8f454f4398df13 |
1119 |
|
|
9fc882f32619787b9884d56b2575c65b9ed7837a01c2fb5aa1161ddf266f6ea1 |
1120 |
|
|
3915e3d89295bade7f224eff1503ac0574f002f0ae9c55a546a8919bd993b26a |
1121 |
|
|
80af09dc94070af28548a9a8915b7614e257f281bdab5d960697059f5875c003 |
1122 |
|
|
b3b759580ac6ab73c7e7f12e383370d57c9aeeecb6e489809b1d3ef4cf781261 |
1123 |
|
|
6c14eefb528f4bc9592a9bfd7b09e50c2cf11695db5cc18d20374b0cde3ddd13 |
1124 |
|
|
e9129d9ec5d1cff5a8f2efc0431d9fabd9a7e77a801ad506aedfb5d96296f966 |
1125 |
|
|
a0b6b2ef0925189f9da3450dd82a548aab3d869038f9fbcf17bd64b4840f2fec |
1126 |
|
|
3e45979ff814b38b635aeb039d1fc2910d7df61ef97a6fb7bf6b9acbb53d9284 |
1127 |
|
|
7e762d19e553c76a6fea2d704eebb6d41882fbd8b06bfaa19f01ed1fdb2b5a38 |
1128 |
|
|
f0f500d2640ca32e837ce523355fd1a2f9fd15e98c3f84b22f6cdc7e78dc7c5c |
1129 |
|
|
8be629497dfa6b307f01f719c813b580fd5603c5843fc44c9523fb7cf3a93e76 |
1130 |
|
|
0d031eb516dfc97091a1aee46203b0aed29f49a2ee3d6e9c7f65b658cafc5a32 |
1131 |
|
|
86a1ab131be9b9e70cc02f43d95949fa5431c64e73bab1986f0e786cb153bd06 |
1132 |
|
|
f7e28f41b4be1e7d9f5d5a2c58f9d9aeedaab4d384794e0bf1e14e945401a859 |
1133 |
|
|
55b31e7e671929acb86118377fc1e0da89395724e82494e517d3a0d8474ea3c3 |
1134 |
|
|
522f062a214643b78e7c40e0d09e2592561f452c40f3e140ecb127d8b4fccd5d |
1135 |
|
|
802587c3a9bbf0223da898008d73a8d5cea4e070e2500ac3400e2dbcea735016 |
1136 |
|
|
7e60d12bf0c58e94e014f049b9d7acff6c7bfc36d048ddf04e430106bd9907db |
1137 |
|
|
9864ebade8848fd65584fff6609988f88c224e110d1711a4382d2776df178334 |
1138 |
|
|
39983a4f792c32c0d589158be637e25d12fba126373544f7950bebe2f45a4ae4 |
1139 |
|
|
1de53a085b8d2e6c44e5de5d3cc8228bb0e94ba739591638222dc24c0200f236 |
1140 |
|
|
88a7883253545852700a35430ce90430f54445857e2c0fc8d836b698dde0c28e |
1141 |
|
|
bc08ac30f400a89c0148438f46ae2fbc6183f2c965e40429c8251f3c42ed7bd3 |
1142 |
|
|
f7d0bfa2ad5033b9d7ef54e07b57cf9235b166acb71e4ce3378d1cf9e52d923a |
1143 |
|
|
d7d794cbd56dc47c14165a7516da777695baffbeaa6475e4082f542d8d061f4c |
1144 |
|
|
779abf0eb6f41be10b8e5ab952573f008b1e9d4a0000a174c2691a9006e02022 |
1145 |
|
|
47dfbf34327a6f60a7e12fdcbbe9b45afa6f6a45849d1900b2cf9484037eaa8e |
1146 |
|
|
44975b7ab433e0cbac98c2e67b7991d7afc347cc9632871817bb95d570415a13 |
1147 |
|
|
b50356eae2135022b7ef6265d2e6a796fe2b90cd3556fa3767abe7aa55fe7a85 |
1148 |
|
|
b31fa873d2c560dab244de36fd942edd1db8cd5e4f9ebb288fcfda5a6b381a0a |
1149 |
|
|
a833aa28e46e27e41646c7ab8907b39b4adf1b2d5d8d2761729d05fec9b11ae0 |
1150 |
|
|
d0e7dfac38461768a2efb8290fff7f1f4d2627be4c0227f0ffa1f2df828ade2f |
1151 |
|
|
c3daa46455854ad89dfc1b2a58a92b00d440c9fc069b875c1b57b0c203d78da3 |
1152 |
|
|
fcb77894907c91e477c4b16be5aaa13ef28a28a230150a8ca695be1428c85a8b |
1153 |
|
|
d3bc67e83aa9b0cda13d0365ac1610c9f8d450e30e425f3608e6d4d67252f518 |
1154 |
|
|
3b97ba99c319a645f12803ebe7f473aaef2f731ca2abd098155988b1b11923a8 |
1155 |
|
|
87de28277eacb7fec362dbb5e030fecd92f083357f9632a75fa6fb9e1012b5a7 |
1156 |
|
|
b5a6ba567a9588f151434bef825531b256e6c80c4eab0ef028e8ebdabcc0c13b |
1157 |
|
|
fdf226137425280c59b7c610e341367bbbc422501031a635b19ea4b1f3bd9026 |
1158 |
|
|
82c69547b85380012ed3a69f6a5147bd842ebea0d037e22b874a9b8481eb1bdc |
1159 |
|
|
95025325e52b8e803491bab168474996d15cc833e750fb15307224e5cb05419e |
1160 |
|
|
a85d5c8509c2d6a518945109868f240f4bf82b5cfe103d3e9387e0089164922f |
1161 |
|
|
880b8bdf2a65f4b8fc1d4d1aae0fc47edd1bbb1b792021dd34e1399ca23e9644 |
1162 |
|
|
4c0691be47dca469edc148d6e4d3f58379c5ed45e76e33b6865af4953a95b188 |
1163 |
|
|
671c44e4a345092069e1c4f49dd19b3936d4c54c82a9c07cabd17de594b8d856 |
1164 |
|
|
f9731785ba38f4f7cfeb08199cea3bbca09bddca384ebb6448109a070dd24c41 |
1165 |
|
|
92fcb9d215f91a5030fbbccea31f660ebf53f7bb86360cd6403f20d2f07f87a2 |
1166 |
|
|
35c8c38545583226518d06331b4cde94d4a8854bd8b769225554b36aad863d1f |
1167 |
|
|
339b50fb9342a6823be604d648161e745208a0dbb1a9494558663bddc60dee9a |
1168 |
|
|
c5c87eee1e1608491c400cfb5f86af68c379d3328c9701f1a2ab3f7c7eb0648c |
1169 |
|
|
d917b7396d70cb27077c4d3d5d5c6bebb93509108b0f35030982cd9f153046ad |
1170 |
|
|
7c660ab75e06e4736fed082de8fe7a37a41bf30aa6be96dee7cbb11745cfac3d |
1171 |
|
|
f41cf11177795ab795b6c0fae722e5b538867ee54e99bb83b158fbb95a025b10 |
1172 |
|
|
ab5091d5c79aeedea4b5677de0ae9172783e85a910681497a3ec39e2c7c13bbe |
1173 |
|
|
791315878852499faae9644bc99d857976c486c0473a5d78161abc1fb59ba523 |
1174 |
|
|
d8b34507e67828cd8e6c2f9b424a075cbc01ad797c3f23c00f40a3889c1fc052 |
1175 |
|
|
fe126689f1f6c963728418efc987f2ef9389a091e8ca2af04ac78269d0d8917c |
1176 |
|
|
571f669688b8c677c4e4fa53b5388e8c1e9c96baf4c0d0b4b5263a107c21abd1 |
1177 |
|
|
b1fdd75334192f4f6e31ea676231619773473a9a7e2f3d736e45d3c382e48942 |
1178 |
|
|
b04c91f57871c71e1f4fd78d9732d28b661792ce1c30c3f61b1f8d021348a09b |
1179 |
|
|
91425ed346dd4384a3d233cd6cf86f54d334c5e5c639b5d1d0122ebcdd8fc95a |
1180 |
|
|
dc27140bce67dcf5b271482bb6214be78ff7aaf6ab8864026c65c3f54edb7f6d |
1181 |
|
|
792cb4fa216049a2e58580d9f73562593290f9e5ad5adb162204189c4675d61a |
1182 |
|
|
0b27133991671ae24e2f98cf35812b1e4939ca2bb0e9e9ea8b705b710cf4050f |
1183 |
|
|
a1b262d39dab95a59d7611456f452a975db291876d9d72e55657927f339baf4c |
1184 |
|
|
3b8c9d9c9104dee69615d9faf945edbe0384b75621fc9b8209523e2c9c92858f |
1185 |
|
|
d5cc3b2a0a83d59150f5d6478bcf6bbc3711974709b0c495fa269117221cb4d1 |
1186 |
|
|
91cd6d1638f54e80d4ba804cfe158ba8c670a28355aca9517b1763b989b9081d |
1187 |
|
|
56f41bf8555b979b76f3f057f2db617a4067eb1fdd8278ca765418733d96b51c |
1188 |
|
|
6c35ad9783584f48100bb9cdf704b5344fa984be74bd95a191f6c23faaaeba32 |
1189 |
|
|
c649bfa73866794cfc93924c090a443303f068a4e59dfc63a5944d84d870bbeb |
1190 |
|
|
ed48c1aba8fb7cf47a898755da72ac84132d57a308725e7bd5e2af6eaa682c81 |
1191 |
|
|
33f9c8b198c46ed7de688f8614f8628dfb09465bb3b04644e27bdbe487939a38 |
1192 |
|
|
0fc3ea7c6d3fadd2871e4f15c423955f8658fbaac16fb62fcd27e60cfe3219ad |
1193 |
|
|
0eab7a1a9f42be8a23a155bc7810be2f5eefeb361a091e557d4cd65b6636e103 |
1194 |
|
|
4666cbfc8aec2fd5cfc82ced36930534af80fa35f03b2e303123913386893baa |
1195 |
|
|
2a2e18b0d2e0952220a1b25b5c26cc623cfef7c4b744f434fa8a9988d6c10540 |
1196 |
|
|
44ae3bd58ae7157a95e2c66e7a4b473ed5b6a9d77b40c5d7de95c9b9601dc97f |
1197 |
|
|
88ddb499ead836bb71a020b89b4cefbe12ab9149cfa7e28fc5a122c1056401f9 |
1198 |
|
|
450ab21ad0517a87385292c00c0cc457e50a6b4c02815ff2b64263824e8159da |
1199 |
|
|
c24f9d5c1628197e2991efb8b6c59bcec941b59f30a6d65afc59bf293739730b |
1200 |
|
|
dfe13c3153c8d86bc59ae958601121888156f1c1290e40a15cc937fd63ac6eb5 |
1201 |
|
|
8f5d6eae2cb184c04131de0ad7c3acbc442d8d400383de472f33419dffe3928c |
1202 |
|
|
043a818e361453ccf700195ad8885388ce5fa0f0bd670e005c5f4a68849aaecf |
1203 |
|
|
7d40af813039bdf63bc12cd1dd8006aa32756c1bb0c42ae2a5a707bcbb7289a3 |
1204 |
|
|
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% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. |
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11 dict begin |
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dup 12 /fi put |
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dup 13 /fl put |
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dup 14 /ffi put |
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dup 23 /ring put |
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dup 33 /exclam put |
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dup 34 /quotedblright put |
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dup 43 /plus put |
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dup 44 /comma put |
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dup 58 /colon put |
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dup 63 /question put |
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dup 65 /A put |
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dup 66 /B put |
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dup 67 /C put |
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dup 68 /D put |
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dup 69 /E put |
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dup 70 /F put |
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dup 72 /H put |
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dup 73 /I put |
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dup 74 /J put |
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dup 75 /K put |
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dup 76 /L put |
1426 |
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dup 77 /M put |
1427 |
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dup 78 /N put |
1428 |
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dup 79 /O put |
1429 |
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dup 80 /P put |
1430 |
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dup 82 /R put |
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dup 83 /S put |
1432 |
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dup 84 /T put |
1433 |
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dup 85 /U put |
1434 |
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dup 87 /W put |
1435 |
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dup 89 /Y put |
1436 |
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dup 90 /Z put |
1437 |
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dup 91 /bracketleft put |
1438 |
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dup 92 /quotedblleft put |
1439 |
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dup 93 /bracketright put |
1440 |
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dup 97 /a put |
1441 |
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dup 98 /b put |
1442 |
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dup 99 /c put |
1443 |
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dup 100 /d put |
1444 |
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dup 101 /e put |
1445 |
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dup 102 /f put |
1446 |
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dup 103 /g put |
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dup 104 /h put |
1448 |
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dup 105 /i put |
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dup 106 /j put |
1450 |
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dup 107 /k put |
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dup 108 /l put |
1452 |
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dup 109 /m put |
1453 |
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1454 |
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dup 111 /o put |
1455 |
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dup 115 /s put |
1459 |
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dup 116 /t put |
1460 |
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dup 117 /u put |
1461 |
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dup 118 /v put |
1462 |
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readonly def |
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1568 |
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1599 |
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1600 |
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|
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1601 |
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1603 |
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1604 |
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1605 |
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1609 |
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1610 |
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1611 |
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1612 |
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1616 |
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1617 |
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1618 |
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1619 |
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1620 |
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1621 |
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1622 |
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1774 |
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1775 |
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1777 |
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1778 |
|
|
cf70e18ff8aeccc6f9e5b59a5c0b31426a5225123a5fdd727a73f99bcb5bc503 |
1779 |
|
|
c01f9b297d0165d8347b8785620c1fa947ec5c7f83ffbcec939f4eb129eafea5 |
1780 |
|
|
06fe8ce6ff3dde1a9bd449877338508d22cf870ff55512422bb5009195683ddf |
1781 |
|
|
b621eb8f75db625c78b1e399cb8f99c725faf345af0911f1293b6dbc8938d0fe |
1782 |
|
|
99e3df5aad15d0c07a603f9db6c8d0d7cf729f01463bf2b6c24de744eb00a654 |
1783 |
|
|
df7185d207dd43408ffc521e1546308c024cee219adcbf11a78350710a17732b |
1784 |
|
|
37676abc77c75f3bbc6ba46a30629e3eb052ca7b5deb4f4220c1eed473d59650 |
1785 |
|
|
04499f5e1b78ba01085cc978796238b4bc358114b0d7c5132ae5dc0138e1cbfc |
1786 |
|
|
e4e1f8c19df0c8b37d2b23095764d03f6ca3c1ccbbf75e083f416b7519f785fe |
1787 |
|
|
d72bfd19bb3f7591a1fe4924b63ac64a530d18557dfc45fa6a7c3360801a24ac |
1788 |
|
|
e0135e3189b5828378e1353527f32a85a3a709b5868949a4f688181bb18cf935 |
1789 |
|
|
a1a38c8dc89861f0b635134821f4425a2c5d2a3400fdd0f2a211c4b7cc04e4db |
1790 |
|
|
afe8d529c7db4453f248851d693c781d1f27c315d700707025521b5ee7b77b79 |
1791 |
|
|
104d6682caaf1ccaffcbdb60d103eaf60015883b0e7869a860877c318e270cd6 |
1792 |
|
|
8a1c61ab69c58a8ce843fc583cf35ac5a1cccca9ce0525696c22166c5ef5baa0 |
1793 |
|
|
741e1b0a3cbfc7ab0f3e1e178eecd9e074ed0a6ae4461b5d4bd24fe0a74694c5 |
1794 |
|
|
a9832ee34f4dd5f6ceeb525224e3d1f8fd61dbbb727ff6367f6a6a1c3e337941 |
1795 |
|
|
790c7706230041483ce190cf99800ee1ce08c39552abefba02f41d0740808869 |
1796 |
|
|
3a5fca44f87fdc11b770bf790eb36e0b6a443a02ef1044375c93a6e3a1dea3c1 |
1797 |
|
|
b5dc0351b35b95166e155ba9b51e584e2a7914b8ef4023f6dba24ed1e9c8821d |
1798 |
|
|
f19d21b8904f666c9c72cd1723eeab1874df7db679132aa2d70bcd6eba4b6481 |
1799 |
|
|
b0ec205c6813720aa2854beeb469019638d675dd4c34febf959b441655b92ad2 |
1800 |
|
|
b2616b2c0ba7ad3384594c09fd22e6b531656f49334acdfd5d6d8906e1b210e9 |
1801 |
|
|
25cc464459512112e4cfd3cd425640b5c6faf4bcfae4129cd98f907bc853bcd8 |
1802 |
|
|
9f8557c85060b2189cb3d7ba487c78d0fab9b16b9fbd72b838d41bfc6f8182eb |
1803 |
|
|
d6950e2235d1bbae02ecfc88a5bf1b179b6972e93325f5f041031779bb5c6a14 |
1804 |
|
|
40215ca8ef29adb3ac35cf8bbc09e55b7e21c477058085db1fc05e965f1c6d4f |
1805 |
|
|
7234655dd013644b841327abe5ade6b0bcf0315a7976fc0dd78a57cdda67df63 |
1806 |
|
|
ab98cab27ed308f712481d9adda8f5c06b1f1059a8f1ce0f831dacb4ec0ae476 |
1807 |
|
|
86447ccb0006023915b742258e71e3db54229b0e692f2be98e9063faf917bad5 |
1808 |
|
|
2c95ae7a767c3018bf3fcf208e43ba697afafd4c16a4eb20eb8b71823d4e2535 |
1809 |
|
|
ec209c43c0571d2fe871f1516aba1bdaef30691553df3740d4a082a9777d2bc5 |
1810 |
|
|
a4b1e6039b39be32473252b23d3663d13f201bf2a90db82de70367c184c6602e |
1811 |
|
|
ed2bfc9bc4cd4a242bc44493b8171555caa4d31748f419a6819d0c94ee59095b |
1812 |
|
|
e4a8d8355a6dd972e11fb3029862058b6a8b7194ed68b4aae6ccebdb46814325 |
1813 |
|
|
73ce78f897945bea56fef091334e2d35aba0a413a8fbe02240238ade75eeb473 |
1814 |
|
|
94fe0478788f1bd5ed0c99c0167d90264c5ad9767fa8aa77b8e437afa825938a |
1815 |
|
|
fb3ea438589727d9687cee82b2b6c00d6b809f40ad5a695a64335bcc32a5ed72 |
1816 |
|
|
b4f80a10181092b3d69efbdd8c2fdd203402b1d407282a85b429fc0e0cb97d1b |
1817 |
|
|
3d9f1c4972b781020d9f977cce12c4accac962666242692d52c3c75d9d1a17f3 |
1818 |
|
|
1ebab11c6c7251babf736678a304e53716579e3b03317a6f4e809405f291355a |
1819 |
|
|
25bf626978cff8f320601847de8f62aec97bdad36c83a21684c644d083ae0e48 |
1820 |
|
|
60f962905c06b2d64895b91ac76002afbf4331c4d7e4dca12576a2a027ab76c0 |
1821 |
|
|
6d038bfa10a67ee19d78073f608c571d2c92201fa209091d242aa7fe0c4a5dee |
1822 |
|
|
63cbee55c5100df27513ae63923bf1d6f16af45fdea8e0a056cda94d335d2cea |
1823 |
|
|
40f1934da6ceceb94c6868d8d24ff8436d0d22b30d15e594d5ec880d1b23a16a |
1824 |
|
|
b4c663384d6fc00c046472e5d166ddc355b595ac19ed932c91edfae7f359fc03 |
1825 |
|
|
6fcce89ede44c2d74f011797a6c8cea2757fde5c4e0589e073bc7d1f0db684fc |
1826 |
|
|
50b9e4ee0d1d7d6df67b69cf2f034a9ad3a333d381aaa4e0276bfd0692ad2acd |
1827 |
|
|
5cdb6fa5a08a462f24e244c8c672fc0aea74c454797f1db8fffcc2286bdad561 |
1828 |
|
|
ff0008aaaf23ed5a3f33d1b40f89ae934ce00963a118e8dd08afab2f5e17bec6 |
1829 |
|
|
0a9cb98a101ac7393a6ae8f0c46e5bf77b41b29bb67871053c84d9ea0607ad60 |
1830 |
|
|
e4c62c8720e7eb679afc795ceba2a4df030bcaf4fe669364e5afcabadc9b1103 |
1831 |
|
|
74a09d85a6b3c760ee1640f407b6da4b20fb9b441bb34af42c21b53d6836520d |
1832 |
|
|
30c0af2ea54acc3883f0140c5db1a2480e236fac23f086c0a31d793f95e47b51 |
1833 |
|
|
c7f3947891c590d4722037f6fe05fd86007db4b393fa1aca7f56ce477f14f830 |
1834 |
|
|
593fdca3e6c246d4892f0c2c8b9964bd1b990edaffd0a63aada1ad983186c003 |
1835 |
|
|
2bc7312d74f354bec6c9195f7c900da577575a63f34360a000ada30e1881707c |
1836 |
|
|
e351d6689a2ed2c22d297c5f14e9b788bc8f4b96377b80a12c22828409c70b89 |
1837 |
|
|
6c34351f68b7d49835892146d2dcd4b818f95d95061e520e01af441f257dfab4 |
1838 |
|
|
06ad4b0479e9e746bdc53bc3b32c5ec4622d9b884671378b8872e731449eb5ec |
1839 |
|
|
990f92db3eb86c5a7bc3a7442f4a3e3311d2dee5d82c1b606ac4a95a78e81b96 |
1840 |
|
|
3847c91a400a51fb7ed93c0e7615c7529df7df117bc81735069f1d8c514088e2 |
1841 |
|
|
fd3243a98eed47843f3e0efafee11aba4dbf9f9b389269b333bf56cc19e43265 |
1842 |
|
|
648444abaedc837965ed6aa189a805e7b2125b97a37c1e38145c32dc24c18947 |
1843 |
|
|
819bb6019b88b1b8976388df6309f6b982060aa90fdf02c91314e8d407737bc6 |
1844 |
|
|
e6bd05f8df9af14cf81f71e35eeac5aae04fe1fab513b7bee34a0c9382a56c43 |
1845 |
|
|
4f5ad0bcda2fae3a25fdd83030e7dc4d6c85b4d5e80f787197216bb66482179b |
1846 |
|
|
4be92132e0121894350ec1e2c4031824edd37938eca50cb336598cc48c7a98b6 |
1847 |
|
|
3834d41666bde65ef33f47097694a0d08e0dba9a018b4bf9c8e944b78cf37725 |
1848 |
|
|
0cb3487ac56fda011863e2a0d32b72f9a4616436d94e8a23f55108be8120b6f2 |
1849 |
|
|
c58f462149083be23cf3a27bb58f3554afc6454387460f43154872e4e6f2ae96 |
1850 |
|
|
1e492b6dc20771d39f3fbb806f478dc027c6fc397f60c9813414befdfe36d268 |
1851 |
|
|
f75b1c99f784702d639b80a6ddff7bff413d650c0adb1e3295ff2b0bf3d59944 |
1852 |
|
|
68a189aa75e1bbcc5327f64b2ae6728fe8d5b89c14ab9035f0bc4e30f3af282e |
1853 |
|
|
5272dc9501115dcd763141bb7138571d295be69eb925b9c33ca91acbd816fcbd |
1854 |
|
|
9e970e9e626af25c6cd45290d7c242d5a55e3600bc2746008e1fecada399a5b3 |
1855 |
|
|
bd9a40521ec9ed1c5c7ff38f71ab5fc54c4a6363a5b7ebbbe0d1315dde3c2b1b |
1856 |
|
|
c1bbb799c92daeaa8f89bbe6a04c2eba73ade0e741df9ecfddd6a992df6c5048 |
1857 |
|
|
a00784771f85ac9fe79fa811d46dfb53d99326d70aad575bfddb2c50f2d0c16b |
1858 |
|
|
50ac94992909712571e9bb0c03ea2e7ea9baf3a8a3f0d3e3dd0c07ab18ab6d51 |
1859 |
|
|
8340d385362442692ef651f1c7864521fa27659f9e07c6665956df2f4538d67c |
1860 |
|
|
72ac737b8053d2004ffa068c07ccaa76b28aa616665f81996889a8b4f0ebeb89 |
1861 |
|
|
587f98eb4780561eb48da2e0685330bf223599a889678a3e5d8eaa000fe0b675 |
1862 |
|
|
615b5c9e8c0ef7f93612fc5cb64af5077bd2c8016a316930929156b9db44a3c3 |
1863 |
|
|
7603735e4dae068c94b6ea26f9d7c04f15da290c617e02d47dc1c39d8106b100 |
1864 |
|
|
a3dabd17cef8dfdae3378a0be5ecd6dc906056009d7864f32b70650bf810aa93 |
1865 |
|
|
59f07a3cf0ef40773b92c33c4fa94a388bd0d6faa44223f373049489d847354d |
1866 |
|
|
1fd352da2eb2202be80de995635e1468a24e34aa27df4c51788c0cb39a36cdba |
1867 |
|
|
183e1e5ee08ad6ba63223bcda80b8b288ac6a4417254771774fce2693b7a06d6 |
1868 |
|
|
a015c50412775132ae4041278e180da0778e57777f79c28dd1e66aa7eab72bd6 |
1869 |
|
|
ec49bd12c3c413a22b2f56701629125aa7359530b2e0918040606ebe61ee6b14 |
1870 |
|
|
a4f59df82a194278b0b087776637d182e0e4c320181c56822ae80ae14c653842 |
1871 |
|
|
a566cab546733a2c2a6ced3b525f545b6f308d85c8971a46c54abfb5109fe0c0 |
1872 |
|
|
39210305d84554d6aa76ba40995d588cc54ed3fd691ddeb87869f32fb3509b77 |
1873 |
|
|
e21292dbb905e2c26d4e7e4e90088eec0c67ba35a7c2bbe2fa74d222184bfa88 |
1874 |
|
|
5069b4f01a23034c9089254f9373bc2db6a713fa45d5b22399984c1af19cd333 |
1875 |
|
|
199ce496045619812a59c492f7fc1f6c749cc9e07308c59199f165ef2e2939e3 |
1876 |
|
|
0dd56ee961c8fdb2b291e176df51aec4a400898eb54d31265fa1e5a5dfbb10e5 |
1877 |
|
|
c00049a8a9380edb1835a92f93531bdfca4dac53b0c8c9939c2c6eb5b1b7b063 |
1878 |
|
|
60a05fab92a77602668578d874c2eedd21224194c17d9b363f4b184405822bd8 |
1879 |
|
|
9175f9575e1093203df1a420ef99d5e47c988d954d30f3ac59c3482c8368a9c4 |
1880 |
|
|
e8be2c639af79ac1893e5910395a8e90c653f1c1fec9bee7c0d5bb39cdc2b953 |
1881 |
|
|
e9eecdd63a2db100daf446570ddc555a938da21466700784c0bdec951eddd24d |
1882 |
|
|
2ed23029e212d45c984741a3473468eecc0c37b96274d8484c8b59b8aeda2dde |
1883 |
|
|
3eaa7b3d6a9a8256eded9b90a0be95db6729a3021abd4feea121b85c8996fffc |
1884 |
|
|
6b79981dbe767a43a1140813714e3f5e89d415b4de1651d836892d0e52bae831 |
1885 |
|
|
07930412cf1c628ba6ed2d9ffccfa2fc9c008d211d65a648383824d9cfba7362 |
1886 |
|
|
e4e423d25fae70a2f17e7c16f97c1756ef7f2601d97a859ddad0397af92ede5c |
1887 |
|
|
46c7c339622a7b738c064b8121b698f9219379e9c68a7aeded4b55e616bc1b69 |
1888 |
|
|
980e5441dcddba7588653a78a9317e14d5e4f5882e773f494d4880c5617819ed |
1889 |
|
|
36056c4b4c47d5dc66928476b5af489cc0a5170136b2b4f1d72309f23026dc7d |
1890 |
|
|
70b7bcf3348a557e8b04e05fc9f4e141f873512aa26eaf170131398f910f7e84 |
1891 |
|
|
b10603a0a82420962e145c785dfffe37f5b8df9c482b079e3ffcab1e340ba2c8 |
1892 |
|
|
6f3925bdd6d68876922dafb8ff7198a6bfdeb9da89f90072a630981e0738cd6b |
1893 |
|
|
cba5a551fd4119d6c89d60f207878868c7973bf2d3282edf27de41c908b8d7c4 |
1894 |
|
|
fefdaad78eaef6254a3a07b39965d76572d671fbb33cb3c723204c11d89f2c31 |
1895 |
|
|
133ad4cd3412c29e35d765564b1abffb6a902cce0285e0e4af7d8becb0f4288a |
1896 |
|
|
5c9c12d34f7cceac142b168422e2e62b096867d6a0a977f8dddab04caacae982 |
1897 |
|
|
be23580c016a7318443a8430fed596bcd50cde07f6c1ec17575457e56401b7bb |
1898 |
|
|
8035fdbc6125ec4541d00a4d090578413abc4e44c1cba2d804be8229abb5190b |
1899 |
|
|
a73ae59d08429035fd64f8191205876ba99b7ba6262767a702e6eda93e8f2205 |
1900 |
|
|
1892104022010ce23aec69ed863edb599a7c2447f907e08200c21042ea84aee8 |
1901 |
|
|
c298059fb5729063cce487c7387b2bca5a1e3d1bbc01c345ca8cc733040b8013 |
1902 |
|
|
308ce8ded7effe8299f1eeb4bce521ec49cdbf0d3a89c46abb45b85658d7b6fc |
1903 |
|
|
0e48304f1edc5c776fc335e602ece5551b7587026fc83bcb2ae00cf4daceab2d |
1904 |
|
|
4d74f021cbaf88628e8c3b0ce7685440e0c03f97e44f51d7b6ddbf211f10fbcb |
1905 |
|
|
b6db357ba50ebbba3a57604c68f644dea9ca662d5782224fe65fa792f3e67a18 |
1906 |
|
|
590edaebc4fbf3b69364164c0fc1a0a0273ade2d4626a1389a83e23b4527e0b8 |
1907 |
|
|
907c9bca6aca218a0d1e3e3c0ca88b02698913549f79631ce62c6c382cf83b45 |
1908 |
|
|
551fd9247b918a23447e9eff96975cfd66ce1c0889a672a55b222760e08db543 |
1909 |
|
|
e9a6f0b7d3bcbc0a8cf43f472ce3e9f471dfbdc48f9220c884abdb11413281fc |
1910 |
|
|
140b29242a63617c6090434573d6fe47b6c0dadb55c4f2716ae150d279e9e63e |
1911 |
|
|
2992ea44c13d1e8547accc7c9534d2a625b6f10762972ef01c8a2e0f38db2179 |
1912 |
|
|
c4ff20a8698c32b038eec7fc1ffd321ebdd14233b4497c200e824b8e6d63fda8 |
1913 |
|
|
c4d33f00f1cad471faf9577201a69a55c78b0564182cc5dece02eade7becd0c7 |
1914 |
|
|
529372e7de6393db5c12b59d4519e60b00e69a33bd90e2c670de72a3e9f9254c |
1915 |
|
|
7b8bec20239d0280566ce6787a9356acea9f4dfe346c1535e4c1965baee076a5 |
1916 |
|
|
290d605485279b402b59cdf8296d443bd354e69a60b0be67c8c678fcadd95e93 |
1917 |
|
|
e38d37d2951db73021947f89d1c87934120a8b3cb24ce474f972d95614000f3d |
1918 |
|
|
dc1edb5a8e6dc1c6b7830a4ff7865255ae16585a9d27b5a48dc9aff25e8032ba |
1919 |
|
|
3e0e1f9fd493bc0f795aa863f9820a397343fedbf393061f192cec43a6129d72 |
1920 |
|
|
45c14decbf8a0b6c4ba6e0f8ac5e5d640bd4ebe24fd9360c793ebf65bf03bb7b |
1921 |
|
|
7f3d53d432f0de2a77c2e182b6998d7b4f41946bc7e72d3dc94e535829a3f129 |
1922 |
|
|
344df5b50240aabbae86658a12304d3758511365a58f9427c37710a19a49e388 |
1923 |
|
|
63c620a304a85d852c124dffaf362601591ddf3dc926910d50c0bf335b201084 |
1924 |
|
|
9bf87ec2fb7ed235a387c7f18bb969501823099314d1dceb9d03020d880931fb |
1925 |
|
|
285ac341d21870d2743a80138b44d1178a430abaa8d04275d571ed9e83105322 |
1926 |
|
|
c3e2331dcfb6b84477ce8701ba28c425fed6779022de2d662835102c979188d0 |
1927 |
|
|
109ddba5830aae8c241d0bd8a8dd05ea73c5b9f7d73c540425d4eec4fbff6760 |
1928 |
|
|
d79bb0b44f263a4e22486822ab9d165bd7d541c48aaa7ddd497c1c9feea5131e |
1929 |
|
|
11bf5d81561a4a2ba7b55f23f4e1ba45ffe5a8c0537f424f769e99d210ec4b7d |
1930 |
|
|
2fbeb790f0e3839cee5dbc048864b65263b7924b29cfde8cacbbd95d328d1852 |
1931 |
|
|
1d9fb83b0038335cf77fa45469dd676736797ab61358d1a603c334f7f1e0bd4e |
1932 |
|
|
7021f0721aea97ecc89372c4894883919b85176756ae7ba5e6db7b1b10324dae |
1933 |
|
|
957bd2a9d1f78d10eebcff028fcb6a1b68a94355ecbc904cbc943d59e98b962b |
1934 |
|
|
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1939 |
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1982 |
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2099 |
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2100 |
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%%CreationDate: 1991 Aug 20 16:38:05 |
2194 |
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2195 |
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% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. |
2196 |
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2200 |
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2202 |
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2203 |
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2205 |
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2206 |
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2213 |
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2214 |
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2215 |
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2216 |
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2217 |
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2218 |
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2219 |
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2220 |
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2221 |
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2222 |
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2223 |
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2224 |
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2225 |
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2226 |
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2227 |
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2228 |
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2229 |
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2230 |
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2232 |
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2233 |
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2240 |
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2241 |
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2242 |
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2243 |
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2244 |
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2245 |
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2246 |
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2419 |
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2420 |
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0000000000000000000000000000000000000000000000000000000000000000 |
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0000000000000000000000000000000000000000000000000000000000000000 |
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0000000000000000000000000000000000000000000000000000000000000000 |
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0000000000000000000000000000000000000000000000000000000000000000 |
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0000000000000000000000000000000000000000000000000000000000000000 |
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0000000000000000000000000000000000000000000000000000000000000000 |
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0000000000000000000000000000000000000000000000000000000000000000 |
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0000000000000000000000000000000000000000000000000000000000000000 |
2470 |
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cleartomark |
2471 |
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2472 |
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%%EndFont |
2473 |
|
|
%%BeginFont: CMR17 |
2474 |
|
|
%!PS-AdobeFont-1.1: CMR17 1.0 |
2475 |
|
|
%%CreationDate: 1991 Aug 20 16:38:24 |
2476 |
|
|
|
2477 |
|
|
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. |
2478 |
|
|
|
2479 |
|
|
11 dict begin |
2480 |
|
|
/FontInfo 7 dict dup begin |
2481 |
|
|
/version (1.0) readonly def |
2482 |
|
|
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def |
2483 |
|
|
/FullName (CMR17) readonly def |
2484 |
|
|
/FamilyName (Computer Modern) readonly def |
2485 |
|
|
/Weight (Medium) readonly def |
2486 |
|
|
/ItalicAngle 0 def |
2487 |
|
|
/isFixedPitch false def |
2488 |
|
|
end readonly def |
2489 |
|
|
/FontName /CMR17 def |
2490 |
|
|
/PaintType 0 def |
2491 |
|
|
/FontType 1 def |
2492 |
|
|
/FontMatrix [0.001 0 0 0.001 0 0] readonly def |
2493 |
|
|
/Encoding 256 array |
2494 |
|
|
0 1 255 {1 index exch /.notdef put} for |
2495 |
|
|
dup 67 /C put |
2496 |
|
|
dup 69 /E put |
2497 |
|
|
dup 72 /H put |
2498 |
|
|
dup 79 /O put |
2499 |
|
|
dup 80 /P put |
2500 |
|
|
dup 83 /S put |
2501 |
|
|
dup 97 /a put |
2502 |
|
|
dup 99 /c put |
2503 |
|
|
dup 100 /d put |
2504 |
|
|
dup 101 /e put |
2505 |
|
|
dup 102 /f put |
2506 |
|
|
dup 103 /g put |
2507 |
|
|
dup 104 /h put |
2508 |
|
|
dup 105 /i put |
2509 |
|
|
dup 108 /l put |
2510 |
|
|
dup 109 /m put |
2511 |
|
|
dup 110 /n put |
2512 |
|
|
dup 111 /o put |
2513 |
|
|
dup 114 /r put |
2514 |
|
|
dup 115 /s put |
2515 |
|
|
dup 116 /t put |
2516 |
|
|
dup 117 /u put |
2517 |
|
|
dup 119 /w put |
2518 |
|
|
dup 121 /y put |
2519 |
|
|
readonly def |
2520 |
|
|
/FontBBox{-33 -250 945 749}readonly def |
2521 |
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|
/UniqueXX 5000795 def |
2522 |
|
|
currentdict end |
2523 |
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|
currentfile eexec |
2524 |
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2525 |
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2526 |
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2527 |
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2528 |
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2529 |
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TeXDict begin 40258431 52099146 1000 1200 1200 (original_proposal.dvi) |
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181.818 /CMMI10 rf /Fg 134[88 1[121 84 98 60 74 77 1[93 |
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gG |
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gS |
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-13.5 0 xl |
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gr}for |
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32 -0.5 0.5{gs |
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gG |
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32 -0.5 0.5{gs |
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gG |
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gS |
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gS |
2900 |
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0 -13.5 xl |
2901 |
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DLB f |
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gG |
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gS |
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32 -0.5 0.5{gs |
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gG |
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2916 |
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|
D 32 s 64 dv X Y lt{X}{Y}ie m 0.25 m D |
2917 |
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gS |
2918 |
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X -2 dv Y -2 dv xl |
2919 |
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Rc f |
2920 |
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gr}for |
2921 |
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2922 |
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2923 |
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2924 |
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0 lW 2 m xl |
2925 |
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D SA OA |
2926 |
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|
gr |
2927 |
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|
rad 0 xl |
2928 |
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2929 |
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2930 |
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2934 |
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|
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2935 |
|
|
rad n -5 rad n 1 2 ac |
2936 |
|
|
rad n 1 rad 1 2 ac |
2937 |
|
|
rad 1 rad -5 2 ac |
2938 |
|
|
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2939 |
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|
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2940 |
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|
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2941 |
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2942 |
|
|
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2943 |
|
|
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2944 |
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|
lp 0 p M |
2945 |
|
|
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2946 |
|
|
0 Y 2 dv lp neg o lp ac |
2947 |
|
|
0 Y 2 dv 0 Y lp ac |
2948 |
|
|
0 Y lp Y lp ac |
2949 |
|
|
X lp s 0 p M |
2950 |
|
|
X 0 X Y lp ac |
2951 |
|
|
X Y 2 dv X lp a o lp ac |
2952 |
|
|
X Y 2 dv X Y lp ac |
2953 |
|
|
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2954 |
|
|
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2955 |
|
|
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2956 |
|
|
rO D rl |
2957 |
|
|
X lW 2 dv a rO a Y lW 2 dv a rO a p l |
2958 |
|
|
rO lW -2 dv a Y lW 2 dv a rO a p l |
2959 |
|
|
lW -2 dv Y lW 2 dv a p l |
2960 |
|
|
0 Y p l X Y p l X 0 p l cp f |
2961 |
|
|
0 0 p M |
2962 |
|
|
0 Y p l |
2963 |
|
|
X Y p l |
2964 |
|
|
X 0 p l cp |
2965 |
|
|
SM st}{Rr SM st}{rO Y p M rO rO xl |
2966 |
|
|
0 Y X Y rO ac |
2967 |
|
|
X Y X 0 rO ac |
2968 |
|
|
X 0 0 0 rO ac |
2969 |
|
|
rO neg D xl X Y 0 Y rO ac |
2970 |
|
|
cp f |
2971 |
|
|
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2972 |
|
|
-1 -1 sc LB whf}{Asc gs gLB gr |
2973 |
|
|
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2974 |
|
|
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2975 |
|
|
np 90 ro gs gDLB gr -1 -1 sc gDLB}{Asc gs -1 -1 sc ZLB whf gr |
2976 |
|
|
gs 3.6 12 sc gOv gr |
2977 |
|
|
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|
|
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2979 |
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|
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2980 |
|
|
0 -1 p M |
2981 |
|
|
0 0 1 0 1 ac |
2982 |
|
|
8 0 8 1 1 ac |
2983 |
|
|
8 0 16 0 1 ac |
2984 |
|
|
16 0 16 -1 1 ac |
2985 |
|
|
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2986 |
|
|
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2987 |
|
|
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2988 |
|
|
0 1 M 0 -1 l |
2989 |
|
|
Ast}{XY D X Y dt 0 0 M SM cpt xl |
2990 |
|
|
2 dv D sc |
2991 |
|
|
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2992 |
|
|
Ast}{4.5 Aos |
2993 |
|
|
1 0 M -1 0 l |
2994 |
|
|
0 1 M 0 -1 l |
2995 |
|
|
2 0 M 0 0 2 0 360 arc |
2996 |
|
|
Ast}{4.5 Aos |
2997 |
|
|
1 0 M -1 0 l |
2998 |
|
|
2 0 M 0 0 2 0 360 arc |
2999 |
|
|
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3000 |
|
|
0 -1 p M 0 0 p l 16 0 p l 16 -1 p l SM st}{5 Aos |
3001 |
|
|
1 -1 M -1 -1 l |
3002 |
|
|
0 2 M 0 -2 l |
3003 |
|
|
Ast}{5 Aos |
3004 |
|
|
1 -1 M -1 -1 l |
3005 |
|
|
1 1 M -1 1 l |
3006 |
|
|
0 2 M 0 -2 l |
3007 |
|
|
Ast}{4.5 Aos |
3008 |
|
|
1 0 M -1 0 l |
3009 |
|
|
0 1 M 0 -1 l |
3010 |
|
|
Ast}{4.5 Aos |
3011 |
|
|
1 0 M -1 0 l |
3012 |
|
|
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3013 |
|
|
np 90 ro DLB -1 -1 sc DLB blf}{Asc gs -1 -1 sc ZLB blf gr |
3014 |
|
|
gs 3.6 12 sc Cr whf gr |
3015 |
|
|
ZLB blf}{Asc gs -1 -1 sc ZLB whf gr |
3016 |
|
|
gs 3.6 12 sc Cr blf gr |
3017 |
|
|
ZLB whf}{Asc LB gs whf gr |
3018 |
|
|
np -0.4 -0.4 sc LB blf}{Asc LB gs f gr gs SM st gr |
3019 |
|
|
np -0.4 -0.4 sc LB whf}{Asc LB blf}{Asc LB gs f gr gs SM st gr |
3020 |
|
|
np -1 -1 sc LB whf}{Ac whf}{OrA gAc}{Ac blf}{Ov whf}{OrA 1 .4 sc gOv}{Ov blf}{(Rac)Ach}{(Abs)Ach}{(Rel)Ach}}e 39 s g xc gr}ie}b/DS{np p M p l st}b/DD{gs dL DS gr}b/DB{gs 12 OB bW sl np 0 0 p M 0 p l st gr}b/ap{e 3 ix a |
3021 |
|
|
e 2 ix a}b/PT{D 2 4 gi al P OP D 1 sc |
3022 |
|
|
o length 6 gt{P 6 g}{e P 8 dv}ie |
3023 |
|
|
D lW 2 m lt{P lW 2 m}if |
3024 |
|
|
0 e p |
3025 |
|
|
0 0 p |
3026 |
|
|
3 -1 r s 3 1 r e s e |
3027 |
|
|
0 0 p M 1 0 p l |
3028 |
|
|
0 0 p ap M 1 0 p ap l |
3029 |
|
|
e n e n |
3030 |
|
|
0 0 p ap M 1 0 p ap l |
3031 |
|
|
P P}b/DT{gs np PT SM st gr}b/NH{lW s D hS dv ru |
3032 |
|
|
cvi D 0 eq{P 1}if/nH x |
3033 |
|
|
D hS nH m s |
3034 |
|
|
D 0 lt{P .1 s nH dv}{nH 2 a dv D 0 xl 2 m s nH dv}ie}b/Bd{D type/arraytype ne{bs e g}if{{P}{{{DS}{DD}{gs 12 OB np |
3035 |
|
|
bW 2 dv/bd x |
3036 |
|
|
lW 2 dv e D NH e{D bd p M bd n p l}for |
3037 |
|
|
st gr}{gs 12 OB np |
3038 |
|
|
lW 2 dv 0 xl NH 1 sc |
3039 |
|
|
bW 2 dv wF m nH 1 a dv/bd x |
3040 |
|
|
0 1 nH{D 1 a bd m o o p M n p l}for SM st gr}{P}{DB}{gs 12 OB |
3041 |
|
|
np 0 lW 2 dv o o n p M p l bW 2 dv |
3042 |
|
|
wF m o o p l n p l |
3043 |
|
|
cp f gr}{P}{gs 12 OB/bL x |
3044 |
|
|
bW 2 dv D lW lt{P lW}if/bd x np 0 0 p M |
3045 |
|
|
bL bd 4 m dv ru 2 o o lt{e}if P cvi/nSq x |
3046 |
|
|
bL nSq 2 m dv D sc |
3047 |
|
|
nSq{.135 .667 .865 .667 1 0 rcurveto |
3048 |
|
|
.135 -.667 .865 -.667 1 0 rcurveto}rp SM st gr}{gs 12 OB |
3049 |
|
|
np 0 lW 2 dv o o n p M p l bW 2 dv |
3050 |
|
|
wF m o o p l n p l |
3051 |
|
|
cp SM lW 0.8 m sl st gr}{P}{4 2 r gs OP/rad x 1 SA DA gr}{P}}o 1 g 1 s g e 2 4 gi al P |
3052 |
|
|
5 -1 r xc}{al P 8 ix 1 eq{DD}{DS}ie 5 -1 r 2 eq{DB}{DS}ie P}{DT}}o 0 g g xc}b/ed{gs cpt np cw 2 dv 0 360 arc f gr}b |
3053 |
|
|
/SPe{gs 0 e xl 1 1 S dv D n sc CMT currentmatrix P lW sl 4.0 setmiterlimit |
3054 |
|
|
np}b/ws{Wd 0 32 4 -1 roll widthshow}b/blank/Times-Roman findfont/CharStrings |
3055 |
|
|
g/space g d/mv 256 array d/NUL/SOH/STX/ETX/EOT/ENQ/ACK/BEL/BS/HT/LF/VT/FF/CR/SO/SI |
3056 |
|
|
/DLE/DC1/DC2/DC3/DC4/NAK/SYN/ETB/CAN/EM/SUB/ESC/FS/GS/RS/US |
3057 |
|
|
mv 0 32 gi as P |
3058 |
|
|
mv 32/Times-Roman findfont/Encoding get |
3059 |
|
|
32 96 gi putinterval |
3060 |
|
|
mv 39/quotesingle put |
3061 |
|
|
mv 96/grave put/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis/Udieresis/aacute |
3062 |
|
|
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3063 |
|
|
/ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde/oacute |
3064 |
|
|
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3065 |
|
|
/dagger/degree/cent/sterling/section/bullet/paragraph/germandbls |
3066 |
|
|
/registered/copyright/trademark/acute/dieresis/notequal/AE/Oslash |
3067 |
|
|
/infinity/plusminus/lessequal/greaterequal/yen/mu/partialdiff/summation |
3068 |
|
|
/product/pi/integral/ordfeminine/ordmasculine/Omega/ae/oslash |
3069 |
|
|
/questiondown/exclamdown/logicalnot/radical/florin/approxequal/Delta/guillemotleft |
3070 |
|
|
/guillemotright/ellipsis/blank/Agrave/Atilde/Otilde/OE/oe |
3071 |
|
|
/endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide/lozenge |
3072 |
|
|
/ydieresis/Ydieresis/fraction/currency/guilsinglleft/guilsinglright/fi/fl |
3073 |
|
|
/daggerdbl/periodcentered/quotesinglbase/quotedblbase/perthousand/Acircumflex/Ecircumflex/Aacute |
3074 |
|
|
/Edieresis/Egrave/Iacute/Icircumflex/Idieresis/Igrave/Oacute/Ocircumflex |
3075 |
|
|
/apple/Ograve/Uacute/Ucircumflex/Ugrave/dotlessi/circumflex/tilde |
3076 |
|
|
/macron/breve/dotaccent/ring/cedilla/hungarumlaut/ogonek/caron |
3077 |
|
|
mv 128 128 gi as P/fSt 50 string d(ChemDraw)fSt copy P/fD{D/Symbol eq{findfont[1 0 0 -1 0 0]makefont}{D {findfont}stopped{/Helvetica findfont}if |
3078 |
|
|
D length dict/newdict x{1 index/FID ne{1 index/FontMatrix eq{[1 0 0 -1 0 0]matrix concatmatrix}if |
3079 |
|
|
newdict 3 1 r put}{P P}ie}forall |
3080 |
|
|
newdict/Encoding mv put |
3081 |
|
|
fSt 8 fSt length 8 sub gi cvs length 8 add |
3082 |
|
|
fSt 0 rot gi cvn newdict definefont}ie}b/ts{gs xl ro 0 0 M}b/nl{0 e xl 0 0 M}b/tx{ft e g e sf m rot D 96 and 0 ne{64 and 0 ne{-0.5}{0.25}ie e 0.75 m}{P 0 e}ie |
3083 |
|
|
D 4 -1 r e scalefont setfont m cpt P e M}b |
3084 |
|
|
end |
3085 |
|
|
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3086 |
|
|
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3087 |
|
|
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3088 |
|
|
40 80 20 20 54 chemdict30 begin/hS x/sf x/lW x/bW x/cW x/sh T d |
3089 |
|
|
451 SPe[ |
3090 |
|
|
/Helvetica |
3091 |
|
|
fD |
3092 |
|
|
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3093 |
|
|
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3094 |
|
|
65535 65535 65535 sBg |
3095 |
|
|
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3096 |
|
|
gs |
3097 |
|
|
2647 2123 M |
3098 |
|
|
3091 2370 ed |
3099 |
|
|
l |
3100 |
|
|
ed |
3101 |
|
|
st |
3102 |
|
|
gr |
3103 |
|
|
gs |
3104 |
|
|
2612 2185 M |
3105 |
|
|
3055 2432 ed |
3106 |
|
|
l |
3107 |
|
|
ed |
3108 |
|
|
st |
3109 |
|
|
gr |
3110 |
|
|
gs |
3111 |
|
|
2647 2164 M |
3112 |
|
|
2640 1676 ed |
3113 |
|
|
l |
3114 |
|
|
ed |
3115 |
|
|
st |
3116 |
|
|
gr |
3117 |
|
|
gs |
3118 |
|
|
2799 1468 M |
3119 |
|
|
3055 1315 ed |
3120 |
|
|
l |
3121 |
|
|
ed |
3122 |
|
|
st |
3123 |
|
|
gr |
3124 |
|
|
gs |
3125 |
|
|
2647 2164 M |
3126 |
|
|
2229 2413 ed |
3127 |
|
|
l |
3128 |
|
|
ed |
3129 |
|
|
st |
3130 |
|
|
gr |
3131 |
|
|
gs |
3132 |
|
|
2468 1519 M |
3133 |
|
|
1474 1256 ed |
3134 |
|
|
l |
3135 |
|
|
ed |
3136 |
|
|
st |
3137 |
|
|
gr |
3138 |
|
|
gs |
3139 |
|
|
3256 1279 M |
3140 |
|
|
4197 1489 ed |
3141 |
|
|
l |
3142 |
|
|
ed |
3143 |
|
|
st |
3144 |
|
|
gr |
3145 |
|
|
3520 860 1900 3220 39 Ar |
3146 |
|
|
|
3147 |
|
|
gs |
3148 |
|
|
7066 1651 M |
3149 |
|
|
7469 1406 ed |
3150 |
|
|
l |
3151 |
|
|
ed |
3152 |
|
|
st |
3153 |
|
|
gr |
3154 |
|
|
gs |
3155 |
|
|
6924 2520 M |
3156 |
|
|
6909 1860 ed |
3157 |
|
|
l |
3158 |
|
|
ed |
3159 |
|
|
st |
3160 |
|
|
gr |
3161 |
|
|
gs |
3162 |
|
|
6923 2467 M |
3163 |
|
|
7525 2796 ed |
3164 |
|
|
l |
3165 |
|
|
ed |
3166 |
|
|
st |
3167 |
|
|
gr |
3168 |
|
|
gs |
3169 |
|
|
6879 2547 M |
3170 |
|
|
7481 2878 ed |
3171 |
|
|
l |
3172 |
|
|
ed |
3173 |
|
|
st |
3174 |
|
|
gr |
3175 |
|
|
gs |
3176 |
|
|
6924 2520 M |
3177 |
|
|
6361 2862 ed |
3178 |
|
|
l |
3179 |
|
|
ed |
3180 |
|
|
st |
3181 |
|
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gr |
3182 |
|
|
gs |
3183 |
|
|
6742 1687 M |
3184 |
|
|
5311 1156 ed |
3185 |
|
|
l |
3186 |
|
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ed |
3187 |
|
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st |
3188 |
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gr |
3189 |
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gs |
3190 |
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7669 1380 M |
3191 |
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8629 1692 ed |
3192 |
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l |
3193 |
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ed |
3194 |
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st |
3195 |
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gr |
3196 |
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8071 783 5832 3228 39 Ar |
3197 |
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3198 |
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gs |
3199 |
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4832 4938 M |
3200 |
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4429 4938 ed |
3201 |
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l |
3202 |
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ed |
3203 |
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st |
3204 |
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gr |
3205 |
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gs |
3206 |
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5278 5485 M |
3207 |
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5000 5039 ed |
3208 |
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l |
3209 |
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ed |
3210 |
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st |
3211 |
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gr |
3212 |
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gs |
3213 |
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5255 5447 M |
3214 |
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5801 5447 ed |
3215 |
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l |
3216 |
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ed |
3217 |
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st |
3218 |
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gr |
3219 |
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gs |
3220 |
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5257 5523 M |
3221 |
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5801 5523 ed |
3222 |
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l |
3223 |
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ed |
3224 |
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st |
3225 |
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gr |
3226 |
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gs |
3227 |
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5278 5485 M |
3228 |
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5031 5922 ed |
3229 |
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l |
3230 |
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ed |
3231 |
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st |
3232 |
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gr |
3233 |
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gs |
3234 |
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5278 6582 M |
3235 |
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5911 6582 ed |
3236 |
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l |
3237 |
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ed |
3238 |
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st |
3239 |
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gr |
3240 |
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gs |
3241 |
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4967 7131 M |
3242 |
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5278 6582 ed |
3243 |
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l |
3244 |
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ed |
3245 |
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st |
3246 |
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gr |
3247 |
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gs |
3248 |
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5032 6148 M |
3249 |
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5278 6582 ed |
3250 |
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l |
3251 |
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ed |
3252 |
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st |
3253 |
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gr |
3254 |
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gs |
3255 |
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4223 4938 M |
3256 |
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3308 4938 ed |
3257 |
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l |
3258 |
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ed |
3259 |
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st |
3260 |
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gr |
3261 |
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gs |
3262 |
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5038 4938 M |
3263 |
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6416 4938 ed |
3264 |
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l |
3265 |
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ed |
3266 |
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st |
3267 |
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gr |
3268 |
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6159 7362 3659 4505 39 Ar |
3269 |
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3270 |
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0 2067 3145 ts |
3271 |
|
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0 10 |
3272 |
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0 tx |
3273 |
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(Na)show |
3274 |
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64 10 |
3275 |
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0 tx |
3276 |
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(+)show |
3277 |
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gr |
3278 |
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3279 |
|
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0 3093 2530 ts |
3280 |
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0 10 |
3281 |
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0 tx |
3282 |
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(O)show |
3283 |
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gr |
3284 |
|
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3285 |
|
|
0 2638 1636 ts |
3286 |
|
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-144 0 M |
3287 |
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|
0 10 |
3288 |
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0 tx |
3289 |
|
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(CH)show |
3290 |
|
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gr |
3291 |
|
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3292 |
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0 3080 1118 ts |
3293 |
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0 10 |
3294 |
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0 tx |
3295 |
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(H)show |
3296 |
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32 10 |
3297 |
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0 tx |
3298 |
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(2)show |
3299 |
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0 10 |
3300 |
|
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0 tx |
3301 |
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()show |
3302 |
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216 nl |
3303 |
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0 10 |
3304 |
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0 tx |
3305 |
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(C)show |
3306 |
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gr |
3307 |
|
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3308 |
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0 2210 2545 ts |
3309 |
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-206 0 M |
3310 |
|
|
64 10 |
3311 |
|
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0 tx |
3312 |
|
|
(-)show |
3313 |
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|
0 10 |
3314 |
|
|
0 tx |
3315 |
|
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(O)show |
3316 |
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gr |
3317 |
|
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|
3318 |
|
|
0 2758 3799 ts |
3319 |
|
|
-1212 0 M |
3320 |
|
|
0 14.9 |
3321 |
|
|
1 tx |
3322 |
|
|
(sodium polyacrylate)show |
3323 |
|
|
gr |
3324 |
|
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|
3325 |
|
|
0 6906 1820 ts |
3326 |
|
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-144 0 M |
3327 |
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|
0 10 |
3328 |
|
|
0 tx |
3329 |
|
|
(CH)show |
3330 |
|
|
gr |
3331 |
|
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3332 |
|
|
0 7493 1209 ts |
3333 |
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|
0 10 |
3334 |
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|
0 tx |
3335 |
|
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(H)show |
3336 |
|
|
32 10 |
3337 |
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|
0 tx |
3338 |
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(2)show |
3339 |
|
|
0 10 |
3340 |
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|
0 tx |
3341 |
|
|
()show |
3342 |
|
|
216 nl |
3343 |
|
|
0 10 |
3344 |
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|
0 tx |
3345 |
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|
(C)show |
3346 |
|
|
gr |
3347 |
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3348 |
|
|
0 7523 2965 ts |
3349 |
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|
0 10 |
3350 |
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|
0 tx |
3351 |
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(O)show |
3352 |
|
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gr |
3353 |
|
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3354 |
|
|
0 6342 2995 ts |
3355 |
|
|
-300 0 M |
3356 |
|
|
0 10 |
3357 |
|
|
0 tx |
3358 |
|
|
(HO)show |
3359 |
|
|
gr |
3360 |
|
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|
3361 |
|
|
0 6990 3826 ts |
3362 |
|
|
-988 0 M |
3363 |
|
|
0 15.4 |
3364 |
|
|
1 tx |
3365 |
|
|
(polyacrylic acid)show |
3366 |
|
|
gr |
3367 |
|
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|
3368 |
|
|
0 8174 3357 ts |
3369 |
|
|
0 15.4 |
3370 |
|
|
1 tx |
3371 |
|
|
(n)show |
3372 |
|
|
gr |
3373 |
|
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3374 |
|
|
0 4864 4844 ts |
3375 |
|
|
0 10 |
3376 |
|
|
0 tx |
3377 |
|
|
(H)show |
3378 |
|
|
172 nl |
3379 |
|
|
0 10 |
3380 |
|
|
0 tx |
3381 |
|
|
(C)show |
3382 |
|
|
gr |
3383 |
|
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|
3384 |
|
|
0 4255 5012 ts |
3385 |
|
|
0 10 |
3386 |
|
|
0 tx |
3387 |
|
|
(C)show |
3388 |
|
|
172 nl |
3389 |
|
|
0 10 |
3390 |
|
|
0 tx |
3391 |
|
|
(H)show |
3392 |
|
|
32 10 |
3393 |
|
|
0 tx |
3394 |
|
|
(2)show |
3395 |
|
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gr |
3396 |
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3397 |
|
|
0 5833 5559 ts |
3398 |
|
|
0 10 |
3399 |
|
|
0 tx |
3400 |
|
|
(O)show |
3401 |
|
|
gr |
3402 |
|
|
|
3403 |
|
|
0 5039 6108 ts |
3404 |
|
|
-289 0 M |
3405 |
|
|
0 10 |
3406 |
|
|
0 tx |
3407 |
|
|
(HN)show |
3408 |
|
|
gr |
3409 |
|
|
|
3410 |
|
|
0 4876 8210 ts |
3411 |
|
|
-1363 0 M |
3412 |
|
|
0 14.7 |
3413 |
|
|
1 tx |
3414 |
|
|
(N-isopropylacrylamide)show |
3415 |
|
|
gr |
3416 |
|
|
|
3417 |
|
|
0 6234 7492 ts |
3418 |
|
|
0 15.45 |
3419 |
|
|
1 tx |
3420 |
|
|
(n)show |
3421 |
|
|
gr |
3422 |
|
|
|
3423 |
|
|
0 3640 3347 ts |
3424 |
|
|
0 16.6 |
3425 |
|
|
1 tx |
3426 |
|
|
(n)show |
3427 |
|
|
gr |
3428 |
|
|
gr |
3429 |
|
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|
3430 |
|
|
%%Trailer |
3431 |
|
|
showpage |
3432 |
|
|
count origstk sub{P}rp end |
3433 |
|
|
|
3434 |
|
|
%%EndDocument |
3435 |
|
|
@endspecial 841 4355 a Fi(Figure)60 b(1:)80 b(Sho)-5 |
3436 |
|
|
b(wn)61 b(here,)f(are)g(the)h(three)f(p)5 b(olymers)59 |
3437 |
|
|
b(discussed)g(within)h(this)f(prop)5 b(osal.)0 4905 y |
3438 |
|
|
Fj(2)269 b(Researc)-7 b(h)89 b(Goals)0 5356 y Fi(It)59 |
3439 |
|
|
b(is)g(the)g(goal)g(of)g(this)g(researc)-5 b(h)59 b(to)g(elucidate)f |
3440 |
|
|
(the)h(nature)g(of)h(the)f(gel)g(collapse)f(in)h(the)g(t)-5 |
3441 |
|
|
b(w)g(o)59 b(systems)f(in)-5 b(v)g(esti-)0 5627 y(gated)53 |
3442 |
|
|
b(b)-5 b(y)53 b(Shiba)-5 b(y)g(ama)52 b Fg(et)58 b(al.)79 |
3443 |
|
|
b Fi(and)53 b(Hork)-10 b(a)-5 b(y)53 b Fg(et)59 b(al.)78 |
3444 |
|
|
b Fi(Through)54 b(Gibbs)e(Mon)-5 b(te)53 b(Carlo)g(tec)-5 |
3445 |
|
|
b(hniques,)52 b(this)h(researc)-5 b(h)0 5898 y(will)48 |
3446 |
|
|
b(sim)-5 b(ulate)46 b(the)i(t)-5 b(w)g(o)49 b(systems)d(at)j(state)e(p) |
3447 |
|
|
5 b(oin)-5 b(ts)48 b(surrounding)g(their)g(resp)5 b(ectiv)-5 |
3448 |
|
|
b(e)47 b(gel)h(collapses.)74 b(Information)0 6169 y(gained)68 |
3449 |
|
|
b(from)f(the)h(equilibrium)f(con\014gurations)g(will)g(b)5 |
3450 |
|
|
b(e)69 b(used)f(to)g(giv)-5 b(e)67 b(structural)h(insigh)-5 |
3451 |
|
|
b(t)67 b(in)-5 b(to)67 b(the)h(nature)0 6440 y(of)60 |
3452 |
|
|
b(the)g(sudden)g(v)-5 b(olume)60 b(c)-5 b(hanges)59 b(in)h(the)h(gels.) |
3453 |
|
|
282 6711 y(The)72 b(\014rst)e(system)g(to)h(b)5 b(e)71 |
3454 |
|
|
b(in)-5 b(v)g(estigated)69 b(will)h(b)5 b(e)71 b(the)g(NIP)-15 |
3455 |
|
|
b(A/AAc)71 b(system)f(of)h(Shiba)-5 b(y)g(ama)69 b Fg(et)75 |
3456 |
|
|
b(al.)113 b Fi(Their)0 6982 y(system)50 b(is)i(ideal)f(to)g(b)5 |
3457 |
|
|
b(egin)52 b(with)f(b)5 b(ecause)51 b(it)h(will)f(allo)-5 |
3458 |
|
|
b(w)51 b(the)g(dev)-5 b(elopmen)g(t)50 b(of)i(Gibbs)f(tec)-5 |
3459 |
|
|
b(hniques)50 b(without)h(the)0 7253 y(di\016cult)-5 b(y)57 |
3460 |
|
|
b(of)i(inserting)f(and)i(deleting)d(c)-5 b(harged)59 |
3461 |
|
|
b(particles)f(in)-5 b(to)59 b(the)g(gel)f(system)g(\(here)h(the)g(solv) |
3462 |
|
|
-5 b(en)g(t)58 b(is)h(simply)0 7524 y(a)e(w)-5 b(ater-acetone)55 |
3463 |
|
|
b(mixture\).)78 b(This)56 b(system)g(will)f(allo)-5 b(w)56 |
3464 |
|
|
b(the)h(in)-5 b(v)g(estigation)54 b(to)i(answ)-5 b(er)57 |
3465 |
|
|
b(suc)-5 b(h)57 b(questions)e(as)h(the)0 7795 y(follo)-5 |
3466 |
|
|
b(wing:)73 b(Ho)-5 b(w)49 b(atomistic)e(do)5 b(es)48 |
3467 |
|
|
b(the)h(mo)5 b(del)47 b(ha)-5 b(v)g(e)49 b(to)g(b)5 b(e)49 |
3468 |
|
|
b(to)f(correctly)g(predict)g(the)h(microphase)e(separation?)0 |
3469 |
|
|
8066 y(Do)5 b(es)60 b(the)h(distribution)e(of)h(AAc)i(monomers)d |
3470 |
|
|
(a\013ect)h(the)h(size)f(of)g(the)h(ca)-5 b(vities)58 |
3471 |
|
|
b(formed?)81 b(If)60 b(so,)h(in)f(what)h(w)-5 b(a)g(y?)0 |
3472 |
|
|
8337 y(Ho)g(w)54 b(do)f(aggregates)g(form?)77 b(Do)54 |
3473 |
|
|
b(the)f(gel)f(strands)h(collapse)f(laterally)f(together,)j(or)f |
3474 |
|
|
(longitudinally)e(along)h(the)0 8608 y(p)5 b(olymerization)58 |
3475 |
|
|
b(axis?)282 8879 y(After)i(sim)-5 b(ulating)58 b(the)h(NIP)-15 |
3476 |
|
|
b(A/AAc)61 b(system,)d(the)i(in)-5 b(v)g(estigation)57 |
3477 |
|
|
b(will)i(turn)i(to)e(the)h(system)f(of)h(Hork)-10 b(a)-5 |
3478 |
|
|
b(y)60 b Fg(et)0 9150 y(al.)81 b Fi(Here)61 b(the)g(system)e(is)h(a)h |
3479 |
|
|
(neutralized)e(so)5 b(dium)59 b(p)5 b(oly)-5 b(acrylate)59 |
3480 |
|
|
b(gel.)80 b(The)61 b(\014rst)f(question)g(to)g(answ)-5 |
3481 |
|
|
b(er)61 b(is)f(then,)0 9421 y(will)k(the)g(atomistic)f(detail)g(from)h |
3482 |
|
|
(the)h(\014rst)f(sim)-5 b(ulation)62 b(b)5 b(e)65 b(su\016cien)-5 |
3483 |
|
|
b(t)63 b(for)i(the)f(more)h(highly)f(c)-5 b(harged)64 |
3484 |
|
|
b(gel,)h(or)0 9692 y(will)58 b(the)h(system)f(require)h(more)g(detail)e |
3485 |
|
|
(in)i(the)g(mo)5 b(del.)79 b(Up)5 b(on)60 b(completion)d(of)i(the)f |
3486 |
|
|
(sim)-5 b(ulation)57 b(the)i(follo)-5 b(wing)0 9963 y(questions)47 |
3487 |
|
|
b(will)g(b)5 b(e)49 b(addressed:)73 b(Is)48 b(a)g(microphase)f |
3488 |
|
|
(separation)h(observ)-5 b(ed)47 b(in)i(the)f(p)5 b(oly)-5 |
3489 |
|
|
b(electrolyte)45 b(gel)j(collapse?)0 10234 y(If)56 b(so,)h(what)f(is)g |
3490 |
|
|
(the)g(distribution)f(and)h(size)g(of)g(these)g(ca)-5 |
3491 |
|
|
b(vities?)77 b(Is)56 b(the)g(collapse)f(longitudinal)f(or)j(lateral)e |
3492 |
|
|
(with)0 10505 y(resp)5 b(ect)63 b(to)h(the)f(gel)g(structure?)91 |
3493 |
|
|
b(Ho)-5 b(w)64 b(w)-5 b(ould)64 b(the)f(system)g(b)5 |
3494 |
|
|
b(e)64 b(a\013ected)f(b)-5 b(y)64 b(the)f(in)-5 b(tro)5 |
3495 |
|
|
b(duction)62 b(of)i(a)g(triv)-10 b(alen)-5 b(t)0 10776 |
3496 |
|
|
y(cation?)109 b(W)-15 b(ould)70 b(the)g(system)e(collapse)h(in)h(the)g |
3497 |
|
|
(same)f(w)-5 b(a)g(y)71 b(or)f(w)-5 b(ould)70 b(a)h(di\013eren)-5 |
3498 |
|
|
b(t)69 b(t)-5 b(yp)5 b(e)70 b(of)g(p)5 b(olymer)69 b(strand)3855 |
3499 |
|
|
11315 y(2)p eop |
3500 |
|
|
%%Page: 3 3 |
3501 |
|
|
3 2 bop 0 199 a Fi(in)-5 b(teraction)59 b(b)5 b(e)60 |
3502 |
|
|
b(observ)-5 b(ed.)282 470 y(Ha)g(ving)74 b(sim)-5 b(ulated)73 |
3503 |
|
|
b(b)5 b(oth)74 b(systems,)h(it)f(will)g(then)g(b)5 b(e)74 |
3504 |
|
|
b(of)g(in)-5 b(terest)73 b(to)h(compare)g(the)g(results)f(of)h(the)g(t) |
3505 |
|
|
-5 b(w)g(o)0 741 y(systems.)83 b(Here,)62 b(suc)-5 b(h)62 |
3506 |
|
|
b(questions)e(as)i(the)f(follo)-5 b(wing)61 b(can)g(b)5 |
3507 |
|
|
b(e)62 b(in)-5 b(v)g(estigated:)81 b(Do)62 b(b)5 b(oth)62 |
3508 |
|
|
b(systems)e(sho)-5 b(w)62 b(similar)0 1012 y(structural)42 |
3509 |
|
|
b(features)g(when)i(collapsed?)73 b(Is)43 b(there)g(a)g(simple)f(mo)5 |
3510 |
|
|
b(del)42 b(to)h(accoun)-5 b(t)43 b(for)g(and)g(predict)g(those)f |
3511 |
|
|
(features)0 1283 y(in)60 b(one)g(or)h(b)5 b(oth)60 b(systems?)0 |
3512 |
|
|
1916 y Fj(3)269 b(Metho)7 b(dology)0 2367 y Fi(In)43 |
3513 |
|
|
b(the)g(researc)-5 b(h,)46 b(I)d(will)f(b)5 b(e)44 b(emplo)-5 |
3514 |
|
|
b(ying)41 b(Gibbs)i(ensem)-5 b(ble)41 b(Mon)-5 b(te)43 |
3515 |
|
|
b(Carlo)g(tec)-5 b(hniques.)5940 2301 y Fh(6,)18 b(7)6220 |
3516 |
|
|
2367 y Fi(The)43 b(Gibbs)g(ensem)-5 b(ble)0 2638 y(allo)g(ws)47 |
3517 |
|
|
b(the)h(sim)-5 b(ulation)45 b(of)j(t)-5 b(w)g(o)48 b(phases)g(in)f |
3518 |
|
|
(equilibrium,)h(b)-5 b(y)48 b(sim)-5 b(ulating)46 b(t)-5 |
3519 |
|
|
b(w)g(o)48 b(separate)f(systems,)i(one)f(for)g(eac)-5 |
3520 |
|
|
b(h)0 2909 y(phase,)73 b(and)f(linking)e(the)h(t)-5 b(w)g(o)72 |
3521 |
|
|
b(systems)e(through)h(particle)f(and)i(v)-5 b(olume)70 |
3522 |
|
|
b(exc)-5 b(hanges.)112 b(The)72 b(total)f(system)f(is)0 |
3523 |
|
|
3180 y(then)64 b(considered)e(to)i(b)5 b(e)64 b(at)g(constan)-5 |
3524 |
|
|
b(t)63 b Ff(N)20 b(V)40 b(T)90 b Fi(where)64 b Ff(T)89 |
3525 |
|
|
b Fi(is)64 b(the)f(constan)-5 b(t)63 b(temp)5 b(erature)63 |
3526 |
|
|
b(of)g(the)h(system,)f Ff(N)84 b Fi(is)0 3451 y(the)57 |
3527 |
|
|
b(total)g(n)-5 b(um)g(b)5 b(er)58 b(of)f(particles,)f(and)i |
3528 |
|
|
Ff(V)98 b Fi(is)58 b(the)f(total)g(v)-5 b(olume.)78 b(Eac)-5 |
3529 |
|
|
b(h)57 b(particle)g(and)g(v)-5 b(olume)57 b(exc)-5 b(hange)57 |
3530 |
|
|
b(m)-5 b(ust)0 3722 y(then)66 b(b)5 b(e)67 b(constrained)e(to)i |
3531 |
|
|
Ff(N)87 b Fi(and)66 b Ff(V)41 b Fi(:)93 b Ff(N)80 b Fi(=)62 |
3532 |
|
|
b Ff(N)3338 3750 y Fe(I)3462 3722 y Fi(+)45 b Ff(N)3794 |
3533 |
|
|
3750 y Fe(I)10 b(I)4012 3722 y Fi(and)67 b Ff(V)101 b |
3534 |
|
|
Fi(=)62 b Ff(V)4888 3750 y Fe(I)5012 3722 y Fi(+)45 b |
3535 |
|
|
Ff(V)5304 3750 y Fe(I)10 b(I)5456 3722 y Fi(.)98 b(The)67 |
3536 |
|
|
b(whole)g(system)e(then)h(has)0 3993 y(the)60 b(follo)-5 |
3537 |
|
|
b(wing)59 b(partition)g(function:)64 4818 y Ff(Q)208 |
3538 |
|
|
4846 y Fe(N)14 b(V)31 b(T)608 4818 y Fi(=)1048 4695 y(1)p |
3539 |
|
|
820 4776 548 7 v 820 4943 a(\003)946 4891 y Fh(3)p Fe(N)1151 |
3540 |
|
|
4943 y Ff(N)20 b Fi(!)1536 4607 y Fe(N)1479 4657 y Fd(X)1418 |
3541 |
|
|
5024 y Fe(N)1530 5046 y Fc(I)1600 5024 y Fh(=0)1811 4531 |
3542 |
|
|
y Fd( )2055 4692 y Ff(N)2025 4963 y(N)2171 4991 y Fe(I)2334 |
3543 |
|
|
4531 y Fd(!)2496 4588 y(Z)2662 4641 y Fe(V)2588 4966 |
3544 |
|
|
y Fh(0)2814 4818 y Ff(dV)3015 4846 y Fe(I)3125 4818 y |
3545 |
|
|
Ff(V)3272 4733 y Fe(N)3384 4755 y Fc(I)3231 4873 y Fe(I)3462 |
3546 |
|
|
4818 y Ff(V)3609 4733 y Fe(N)3721 4755 y Fc(I)8 b(I)3568 |
3547 |
|
|
4873 y Fe(I)i(I)3892 4588 y Fd(Z)4089 4818 y Ff(d\030)4272 |
3548 |
|
|
4733 y Fe(N)4384 4755 y Fc(I)4264 4873 y Fe(I)4462 4818 |
3549 |
|
|
y Fi(exp)30 b([)p Fb(\000)p Ff(\014)10 b(U)5199 4846 |
3550 |
|
|
y Fe(I)5279 4818 y Fi(\()p Ff(N)5496 4846 y Fe(I)5575 |
3551 |
|
|
4818 y Fi(\)])5727 4588 y Fd(Z)5923 4818 y Ff(d\030)6106 |
3552 |
|
|
4733 y Fe(N)6218 4755 y Fc(I)e(I)6098 4873 y Fe(I)i(I)6359 |
3553 |
|
|
4818 y Fi(exp)30 b([)o Fb(\000)p Ff(\014)10 b(U)7095 |
3554 |
|
|
4846 y Fe(I)g(I)7247 4818 y Fi(\()p Ff(N)7464 4846 y |
3555 |
|
|
Fe(I)g(I)7615 4818 y Fi(\)])7568 5216 y(\(1\))282 5487 |
3556 |
|
|
y(Where)71 b(\003)h(is)e(the)h(thermal)f(de)h(Broglie)f(w)-5 |
3557 |
|
|
b(a)g(v)g(elength,)72 b Ff(\030)79 b Fi(is)70 b(the)h(scaled)f(co)5 |
3558 |
|
|
b(ordinates)70 b(of)g(the)h(particles)e(in)0 5758 y(the)h(t)-5 |
3559 |
|
|
b(w)g(o)69 b(regions,)i Ff(\014)76 b Fi(=)1866 5687 y |
3560 |
|
|
Fh(1)p 1761 5716 281 7 v 1761 5821 a Fe(k)1834 5843 y |
3561 |
|
|
Fc(B)1940 5821 y Fe(T)2062 5758 y Fi(,)c(here)e Ff(k)2684 |
3562 |
|
|
5786 y Fe(B)2875 5758 y Fi(is)f(Boltzman's)e(constan)-5 |
3563 |
|
|
b(t,)71 b(and)f Ff(U)20 b Fi(\()p Ff(N)g Fi(\))69 b(is)g(the)h(total)f |
3564 |
|
|
(in)-5 b(termolecular)0 6029 y(p)5 b(oten)-5 b(tial)68 |
3565 |
|
|
b(for)i(the)g(in)-5 b(teractions)68 b(of)h Ff(N)91 b |
3566 |
|
|
Fi(particles.)107 b(An)70 b(ensem)-5 b(ble)69 b(with)g(this)g(giv)-5 |
3567 |
|
|
b(en)70 b(partition)e(function)h(will)0 6300 y(ha)-5 |
3568 |
|
|
b(v)g(e)60 b(the)g(follo)-5 b(wing)59 b(probabilit)-5 |
3569 |
|
|
b(y)59 b(densit)-5 b(y:)771 6842 y Ff(\032)p Fi(\()p |
3570 |
|
|
Ff(N)1082 6870 y Fe(I)1161 6842 y Ff(;)30 b(V)1348 6870 |
3571 |
|
|
y Fe(I)1428 6842 y Fi(;)g Ff(N)10 b(;)30 b(V)10 b(;)30 |
3572 |
|
|
b(T)25 b Fi(\))50 b Fb(/)2611 6719 y Ff(N)20 b Fi(!)p |
3573 |
|
|
2407 6800 625 7 v 2407 6967 a Ff(N)2553 6995 y Fe(I)2633 |
3574 |
|
|
6967 y Fi(!)p Ff(N)2830 6995 y Fe(I)10 b(I)2981 6967 |
3575 |
|
|
y Fi(!)3052 6842 y(exp)30 b([)o Ff(N)3556 6870 y Fe(I)3666 |
3576 |
|
|
6842 y Fi(ln)g Ff(V)3954 6870 y Fe(I)4075 6842 y Fi(+)40 |
3577 |
|
|
b Ff(N)4402 6870 y Fe(I)10 b(I)4584 6842 y Fi(ln)30 b |
3578 |
|
|
Ff(V)4872 6870 y Fe(I)10 b(I)5064 6842 y Fb(\000)41 b |
3579 |
|
|
Ff(\014)10 b(U)5483 6870 y Fe(I)5562 6842 y Fi(\()p Ff(N)5779 |
3580 |
|
|
6870 y Fe(I)5859 6842 y Fi(\))40 b Fb(\000)h Ff(\014)10 |
3581 |
|
|
b(U)6389 6870 y Fe(I)g(I)6540 6842 y Fi(\()p Ff(N)6757 |
3582 |
|
|
6870 y Fe(I)g(I)6908 6842 y Fi(\)])538 b(\(2\))282 7267 |
3583 |
|
|
y(With)58 b(these)h(t)-5 b(w)g(o)59 b(equations,)e(one)i(can)g(then)f |
3584 |
|
|
(sp)5 b(ecify)58 b(the)g(probabilit)-5 b(y)58 b(of)g(accepting)g(or)h |
3585 |
|
|
(rejecting)f(an)-5 b(y)59 b(of)0 7538 y(the)i(Mon)-5 |
3586 |
|
|
b(te)60 b(Carlo)h(mo)-5 b(v)g(es)60 b(in)h(the)g(sim)-5 |
3587 |
|
|
b(ulation.)79 b(F)-15 b(or)61 b(Gibbs)f(ensem)-5 b(ble)59 |
3588 |
|
|
b(Mon)-5 b(te)60 b(Carlo,)h(there)g(are)g(three)g(t)-5 |
3589 |
|
|
b(yp)5 b(es)0 7809 y(of)62 b(mo)-5 b(v)g(es)62 b(at)h(eac)-5 |
3590 |
|
|
b(h)62 b(trial)g(step.)87 b(The)63 b(\014rst)f(is)g(a)h(random)g |
3591 |
|
|
(translational)d(mo)-5 b(v)g(e)62 b(within)g(one)h(of)f(the)h(sim)-5 |
3592 |
|
|
b(ulation)0 8080 y(b)5 b(o)-5 b(xes.)80 b(This)60 b(has)g(the)g(follo) |
3593 |
|
|
-5 b(wing)59 b(acceptance)g(probabilit)-5 b(y:)2479 8622 |
3594 |
|
|
y Fb(P)2605 8686 y Fi(translation)3524 8622 y(=)51 b(min)30 |
3595 |
|
|
b([)o(1)p Ff(;)g Fi(exp)g(\()p Fb(\000)p Ff(\014)10 b |
3596 |
|
|
Fi(\001)p Ff(U)20 b Fi(\))o(])2246 b(\(3\))282 9023 y(Where)59 |
3597 |
|
|
b(\001)p Ff(U)78 b Fi(is)57 b(the)i(c)-5 b(hange)58 b(in)g(the)g(total) |
3598 |
|
|
f(energy)h(of)h(the)f(b)5 b(o)-5 b(x)58 b(due)h(to)f(the)g |
3599 |
|
|
(con\014gurational)f(c)-5 b(hange.)79 b(The)0 9294 y(second)57 |
3600 |
|
|
b(t)-5 b(yp)5 b(e)58 b(of)f(mo)-5 b(v)g(e)58 b(is)f(a)h(v)-5 |
3601 |
|
|
b(olume)56 b(c)-5 b(hange,)58 b(where)g(b)5 b(o)-5 b(x)58 |
3602 |
|
|
b(I)g(is)f(expanded)h(or)g(con)-5 b(tracted)57 b(b)-5 |
3603 |
|
|
b(y)58 b(\001)p Ff(V)98 b Fi(and)58 b(b)5 b(o)-5 b(x)58 |
3604 |
|
|
b(I)5 b(I)0 9565 y(is)61 b(con)-5 b(tracted)61 b(or)h(expanded)f(b)-5 |
3605 |
|
|
b(y)62 b(the)f(same)g(amoun)-5 b(t)60 b(to)i(satisfy)e(the)h(constrain) |
3606 |
|
|
-5 b(t:)81 b Ff(V)93 b Fi(=)53 b Ff(V)6339 9593 y Fe(I)6460 |
3607 |
|
|
9565 y Fi(+)42 b Ff(V)6749 9593 y Fe(I)10 b(I)6900 9565 |
3608 |
|
|
y Fi(.)84 b(this)61 b(mo)-5 b(v)g(e)0 9836 y(has)60 b(the)g(follo)-5 |
3609 |
|
|
b(wing)59 b(acceptance)g(probabilit)-5 b(y:)685 10378 |
3610 |
|
|
y Fb(P)811 10441 y Fi(v)g(olume)1435 10378 y(=)51 b(min)1961 |
3611 |
|
|
10140 y Fd(\024)2048 10378 y Fi(1)p Ff(;)30 b Fi(exp)2528 |
3612 |
|
|
10140 y Fd(\022)2650 10378 y Fb(\000)p Ff(\014)10 b Fi(\001)p |
3613 |
|
|
Ff(U)3180 10406 y Fe(I)3300 10378 y Fb(\000)41 b Ff(\014)10 |
3614 |
|
|
b Fi(\001)p Ff(U)3871 10406 y Fe(I)3990 10378 y Fi(+)41 |
3615 |
|
|
b Ff(N)4318 10406 y Fe(I)4428 10378 y Fi(ln)4630 10255 |
3616 |
|
|
y Ff(V)4736 10283 y Fe(I)4856 10255 y Fi(+)g(\001)p Ff(V)p |
3617 |
|
|
4630 10335 707 7 v 4890 10502 a(V)4996 10530 y Fe(I)5397 |
3618 |
|
|
10378 y Fi(+)f Ff(N)5724 10406 y Fe(I)10 b(I)5906 10378 |
3619 |
|
|
y Fi(ln)6108 10255 y Ff(V)6214 10283 y Fe(I)g(I)6406 |
3620 |
|
|
10255 y Fb(\000)41 b Fi(\001)p Ff(V)p 6108 10335 778 |
3621 |
|
|
7 v 6368 10502 a(V)6474 10530 y Fe(I)10 b(I)6906 10140 |
3622 |
|
|
y Fd(\023\025)7568 10378 y Fi(\(4\))282 10804 y(The)69 |
3623 |
|
|
b(third)g(p)5 b(ossible)67 b(mo)-5 b(v)g(e)68 b(is)g(the)g(exc)-5 |
3624 |
|
|
b(hange)68 b(of)g(particle)g(b)5 b(et)-5 b(w)g(een)68 |
3625 |
|
|
b(b)5 b(o)-5 b(xes.)104 b(The)69 b(follo)-5 b(wing)67 |
3626 |
|
|
b(acceptance)3855 11315 y(3)p eop |
3627 |
|
|
%%Page: 4 4 |
3628 |
|
|
4 3 bop 0 199 a Fi(probabilit)-5 b(y)59 b(is)h(for)g(the)g(transfer)g |
3629 |
|
|
(of)g(a)g(particle)f(from)h(b)5 b(o)-5 b(x)61 b(I)5 b(I)60 |
3630 |
|
|
b(to)g(b)5 b(o)-5 b(x)60 b(I.)1665 741 y Fb(P)1791 805 |
3631 |
|
|
y Fi(transfer)2464 741 y(=)51 b(min)2989 503 y Fd(\024)3077 |
3632 |
|
|
741 y Fi(1)p Ff(;)3496 618 y(N)3642 646 y Fe(I)10 b(I)3793 |
3633 |
|
|
618 y Ff(V)3899 646 y Fe(I)p 3268 699 938 7 v 3268 866 |
3634 |
|
|
a Fi(\()p Ff(N)3485 894 y Fe(I)3605 866 y Fi(+)41 b(1\))p |
3635 |
|
|
Ff(V)4055 894 y Fe(I)10 b(I)4226 741 y Fi(exp)30 b(\()p |
3636 |
|
|
Fb(\000)p Ff(\014)10 b Fi(\001)p Ff(U)5135 769 y Fe(I)5255 |
3637 |
|
|
741 y Fb(\000)41 b Ff(\014)10 b Fi(\001)p Ff(U)5826 769 |
3638 |
|
|
y Fe(I)g(I)5976 741 y Fi(\))6047 503 y Fd(\025)7568 741 |
3639 |
|
|
y Fi(\(5\))282 1184 y(F)-15 b(or)64 b(a)g(m)-5 b(ulticomp)5 |
3640 |
|
|
b(onen)-5 b(t)61 b(mixture,)i(equation)g(5)h(is)f(c)-5 |
3641 |
|
|
b(hanged)64 b(b)-5 b(y)64 b(replacing)f Ff(N)5833 1212 |
3642 |
|
|
y Fe(I)5977 1184 y Fi(and)h Ff(N)6480 1212 y Fe(I)10 |
3643 |
|
|
b(I)6695 1184 y Fi(with)64 b Ff(N)7259 1212 y Fe(I)10 |
3644 |
|
|
b(;j)7507 1184 y Fi(and)0 1455 y Ff(N)146 1483 y Fe(I)g(I)g(;j)462 |
3645 |
|
|
1455 y Fi(resp)5 b(ectiv)-5 b(ely)-15 b(.)78 b(Where)60 |
3646 |
|
|
b Ff(j)10 b Fi(,)61 b(is)f(the)g(sp)5 b(ecies)59 b(of)h(the)g(particle) |
3647 |
|
|
f(b)5 b(eing)60 b(transfered.)282 1726 y(In)c(addition)f(to)h(the)g |
3648 |
|
|
(standard)g(Gibbs)f(ensem)-5 b(ble)54 b(trial)i(mo)-5 |
3649 |
|
|
b(v)g(es,)55 b(I)h(will)f(also)h(mak)-5 b(e)55 b(use)h(of)g(a)g(h)-5 |
3650 |
|
|
b(ybrid)56 b(Mon)-5 b(te)0 1997 y(Carlo)435 1931 y Fh(7,)18 |
3651 |
|
|
b(8)717 1997 y Fi(mo)-5 b(v)g(e)73 b(for)i(the)f(b)5 |
3652 |
|
|
b(o)-5 b(x)75 b(con)-5 b(taining)73 b(the)h(p)5 b(olymer)74 |
3653 |
|
|
b(gel)g(net)-5 b(w)g(ork.)122 b(This)75 b(will)e(allo)-5 |
3654 |
|
|
b(w)74 b(me)g(to)g(run)h(short)0 2268 y(molecular)56 |
3655 |
|
|
b(dynamic)h(in)-5 b(tegration)56 b(paths)h(in)h(order)g(to)g(relax)f |
3656 |
|
|
(the)h(p)5 b(olymer)56 b(structure.)79 b(In)58 b(the)f(h)-5 |
3657 |
|
|
b(ybrid)58 b(Mon)-5 b(te)0 2539 y(Carlo)65 b(trial)e(mo)-5 |
3658 |
|
|
b(v)g(e,)64 b(the)h(system)e(is)h(giv)-5 b(en)64 b(a)g(Boltzmann)f(w)-5 |
3659 |
|
|
b(eigh)g(ted)64 b(distribution)e(of)j(v)-5 b(elo)5 b(cities)61 |
3660 |
|
|
b(and)k(allo)-5 b(w)g(ed)0 2810 y(to)55 b(ev)-5 b(olv)g(e)55 |
3661 |
|
|
b(through)h(the)f(in)-5 b(tegration)54 b(of)h(the)g(equations)g(of)g |
3662 |
|
|
(motion)f(for)i(a)f(giv)-5 b(en)55 b(n)-5 b(um)g(b)5 |
3663 |
|
|
b(er)56 b(of)f(time)f(steps.)78 b(The)0 3081 y(\014nal)60 |
3664 |
|
|
b(con\014guration)g(is)f(then)i(accepted)e(or)i(rejected)e(with)h(the)g |
3665 |
|
|
(follo)-5 b(wing)59 b(probabilit)-5 b(y:)2532 3623 y |
3666 |
|
|
Fb(P)2658 3686 y Fi(dynamics)3460 3623 y(=)51 b(min)30 |
3667 |
|
|
b([)o(1)p Ff(;)g Fi(exp)g(\()p Fb(\000)p Ff(\014)10 b |
3668 |
|
|
Fi(\001)p Fb(H)r Fi(\))n(])2299 b(\(6\))0 4023 y(Where)60 |
3669 |
|
|
b(\001)p Fb(H)i Fi(is)e(the)g(c)-5 b(hange)60 b(in)g(the)g(total)f |
3670 |
|
|
(Hamiltonian)g(of)h(the)g(system.)282 4294 y(These)73 |
3671 |
|
|
b(four)h(mo)-5 b(v)g(es)72 b(will)g(form)h(the)g(basis)f(of)h(the)g |
3672 |
|
|
(sim)-5 b(ulation,)73 b(ho)-5 b(w)g(ev)g(er,)76 b(there)d(are)h(still)d |
3673 |
|
|
(some)h(consid-)0 4565 y(erations)i(with)i(whic)-5 b(h)75 |
3674 |
|
|
b(the)g(\014nal)g(form)g(of)g(the)h(sim)-5 b(ulation)73 |
3675 |
|
|
b(will)h(need)h(to)h(deal.)125 b(The)75 b(main)g(p)5 |
3676 |
|
|
b(oin)-5 b(t)75 b(needing)0 4836 y(dev)-5 b(elopmen)g(t,)65 |
3677 |
|
|
b(will)g(b)5 b(e)66 b(a)g(metho)5 b(d)65 b(of)h(setting)e(the)i(c)-5 |
3678 |
|
|
b(hemical)64 b(p)5 b(oten)-5 b(tial)64 b(in)i(the)g(solv)-5 |
3679 |
|
|
b(en)g(t)64 b(reserv)-5 b(oir)66 b(b)5 b(o)-5 b(x.)97 |
3680 |
|
|
b(Be-)0 5107 y(cause)69 b(of)h(the)g(particle)e(transfer)h(mo)-5 |
3681 |
|
|
b(v)g(e)69 b(in)h(the)g(Gibbs)f(ensem)-5 b(ble,)70 b(the)f(c)-5 |
3682 |
|
|
b(hemical)68 b(p)5 b(oten)-5 b(tials)68 b(of)i(b)5 b(oth)70 |
3683 |
|
|
b(b)5 b(o)-5 b(xes)0 5378 y(will)62 b(\015uctuate)g(as)g(particles)f |
3684 |
|
|
(are)i(exc)-5 b(hanged)62 b(b)5 b(et)-5 b(w)g(een)62 |
3685 |
|
|
b(the)h(b)5 b(o)-5 b(xes.)87 b(The)63 b(t)-5 b(w)g(o)62 |
3686 |
|
|
b(b)5 b(o)-5 b(xes)63 b(will)e(then)i(settle)e(to)h(the)0 |
3687 |
|
|
5649 y(same)52 b(c)-5 b(hemical)51 b(p)5 b(oten)-5 b(tial)51 |
3688 |
|
|
b(once)i(equilibrium)e(is)h(reac)-5 b(hed.)77 b(This)53 |
3689 |
|
|
b(p)5 b(oses)52 b(a)h(problem)g(for)f(the)h(solv)-5 b(en)g(t)52 |
3690 |
|
|
b(reserv)-5 b(oir)0 5920 y(b)5 b(o)-5 b(x,)62 b(as)g(it)g(will)f(not)h |
3691 |
|
|
(truly)g(b)5 b(e)62 b(a)h(solv)-5 b(en)g(t)61 b(reserv)-5 |
3692 |
|
|
b(oir)61 b(if)h(it's)f(c)-5 b(hemical)60 b(p)5 b(oten)-5 |
3693 |
|
|
b(tial)60 b(\015uctuates.)85 b(Meaning,)61 b(if)g(the)0 |
3694 |
|
|
6191 y(solv)-5 b(en)g(t)62 b(concen)-5 b(tration)62 b(in)h(the)g(b)5 |
3695 |
|
|
b(o)-5 b(x)64 b(\015uctuates,)e(then)h(it)g(is)g(not)g(truly)g |
3696 |
|
|
(represen)-5 b(tativ)g(e)62 b(of)h(the)g(bulk)g(solv)-5 |
3697 |
|
|
b(en)g(t,)0 6462 y(whic)g(h)67 b(exp)5 b(erimen)-5 b(tally)65 |
3698 |
|
|
b(w)-5 b(ould)67 b(sta)-5 b(y)66 b(at)i(constan)-5 b(t)66 |
3699 |
|
|
b(concen)-5 b(tration.)99 b(Therefore,)68 b(a)f(metho)5 |
3700 |
|
|
b(d)67 b(will)f(need)h(to)g(b)5 b(e)0 6733 y(dev)-5 b(elop)5 |
3701 |
|
|
b(ed)59 b(that)h(will)g(allo)-5 b(w)60 b(me)f(to)i(regulate)e(the)h(c) |
3702 |
|
|
-5 b(hemical)59 b(p)5 b(oten)-5 b(tial)58 b(in)i(the)h(solv)-5 |
3703 |
|
|
b(en)g(t)59 b(b)5 b(o)-5 b(x.)282 7004 y(One)73 b(p)5 |
3704 |
|
|
b(ossible)71 b(metho)5 b(d,)74 b(is)e(that)g(of)h(parallel)e(temp)5 |
3705 |
|
|
b(ering.)4437 6938 y Fh(9)4631 7004 y Fi(Normally)-15 |
3706 |
|
|
b(,)74 b(parallel)d(temp)5 b(ering)71 b(is)h(used)g(as)0 |
3707 |
|
|
7275 y(a)c(metho)5 b(d)67 b(to)h(more)f(fully)g(sample)f(the)i(phase)f |
3708 |
|
|
(space)h(of)f(a)h(sim)-5 b(ulation)65 b(b)-5 b(y)68 b(sim)-5 |
3709 |
|
|
b(ulating)66 b(parallel)g(systems)g(at)0 7546 y(higher)80 |
3710 |
|
|
b(temp)5 b(eratures,)83 b(and)d(at)f(in)-5 b(terv)-10 |
3711 |
|
|
b(als)79 b(attempting)f(to)h(sw)-5 b(ap)80 b(one)g(of)g(the)g |
3712 |
|
|
(con\014gurations)e(of)i(the)g(high)0 7817 y(temp)5 b(erature)63 |
3713 |
|
|
b(runs)g(with)h(that)f(of)g(the)g(lo)-5 b(w)64 b(temp)5 |
3714 |
|
|
b(erature)63 b(sim)-5 b(ulation)61 b(y)-5 b(ou)63 b(are)h(in)-5 |
3715 |
|
|
b(terested)62 b(in.)89 b(I)64 b(prop)5 b(ose)63 b(to)0 |
3716 |
|
|
8088 y(mo)5 b(dify)64 b(this)h(metho)5 b(d)64 b(sligh)-5 |
3717 |
|
|
b(tly)-15 b(,)64 b(and)i(instead)e(of)h(sim)-5 b(ulating)63 |
3718 |
|
|
b(other)i(systems)f(at)h(higher)g(temp)5 b(eratures,)65 |
3719 |
|
|
b(run)0 8359 y(sim)-5 b(ulations)71 b(of)j(duplicates)f(of)g(the)h |
3720 |
|
|
(solv)-5 b(en)g(t)73 b(b)5 b(o)-5 b(xes)74 b(at)g(a)g(set)g(c)-5 |
3721 |
|
|
b(hemical)72 b(p)5 b(oten)-5 b(tial,)76 b(and)e(p)5 b(erio)g(dically)72 |
3722 |
|
|
b(sw)-5 b(ap)0 8630 y(their)67 b(con\014gurations)g(with)h(that)f(of)g |
3723 |
|
|
(the)h(solv)-5 b(en)g(t)66 b(reserv)-5 b(oir)68 b(that)f(is)g |
3724 |
|
|
(equilibrating)f(with)i(the)f(gel)g(b)5 b(o)-5 b(x.)103 |
3725 |
|
|
b(The)0 8901 y(acceptance)68 b(probabilit)-5 b(y)68 b(for)i(suc)-5 |
3726 |
|
|
b(h)69 b(an)h(exc)-5 b(hange)69 b(will)g(then)g(need)h(to)f(b)5 |
3727 |
|
|
b(e)70 b(determined)e(b)5 b(efore)69 b(this)g(metho)5 |
3728 |
|
|
b(d)0 9172 y(could)60 b(b)5 b(e)60 b(implemen)-5 b(ted)58 |
3729 |
|
|
b(within)i(the)g(sim)-5 b(ulation.)282 9443 y(A)83 b(second)f(problem)f |
3730 |
|
|
(arises)h(for)g(the)g(sim)-5 b(ulation)79 b(of)j(the)g(ionic)g(salts)f |
3731 |
|
|
(in)h(solution.)144 b(Here)83 b(the)f(particle)0 9714 |
3732 |
|
|
y(insertion)61 b(and)i(deletion)e(metho)5 b(ds)61 b(run)i(the)g(p)5 |
3733 |
|
|
b(ossibilit)-5 b(y)60 b(of)i(b)5 b(eing)62 b(rejected)f(at)i(ev)-5 |
3734 |
|
|
b(ery)62 b(attempt.)86 b(The)62 b(reason)0 9985 y(for)79 |
3735 |
|
|
b(this)g(is)g(due)h(to)f(the)g(immense)f(c)-5 b(hange)79 |
3736 |
|
|
b(in)g(con\014gurational)g(energy)g(asso)5 b(ciated)78 |
3737 |
|
|
b(with)h(the)g(remo)-5 b(v)-10 b(al)79 b(or)0 10256 y(insertion)53 |
3738 |
|
|
b(of)h(a)g(c)-5 b(harged)54 b(sp)5 b(ecies)53 b(in)-5 |
3739 |
|
|
b(to)53 b(a)i(solution.)76 b(One)55 b(p)5 b(ossible)52 |
3740 |
|
|
b(metho)5 b(d)54 b(around)g(this)g(is)f(a)i(metho)5 b(d)53 |
3741 |
|
|
b(similar)0 10527 y(to)65 b(that)g(of)f(Lyubarsev)h Fg(et)k(al.)2133 |
3742 |
|
|
10461 y Fh(10)2378 10527 y Fi(Whereb)-5 b(y)65 b(particle)e(insertions) |
3743 |
|
|
h(are)h(attempted)e(through)i(the)g(slo)-5 b(w)65 b(gro)-5 |
3744 |
|
|
b(wth)0 10798 y(of)52 b(the)g(particle)e(in)-5 b(to)52 |
3745 |
|
|
b(the)g(system.)76 b(In)52 b(this)f(case,)i(the)e(sim)-5 |
3746 |
|
|
b(ulation)50 b(w)-5 b(ould)52 b(allo)-5 b(w)51 b(the)h(slo)-5 |
3747 |
|
|
b(w)52 b(gro)-5 b(wth)52 b(of)g(a)g(c)-5 b(harge)3855 |
3748 |
|
|
11315 y(4)p eop |
3749 |
|
|
%%Page: 5 5 |
3750 |
|
|
5 4 bop 0 199 a Fi(on)-5 b(to)71 b(an)h(inserted)f(\\neutral")g(ion.) |
3751 |
|
|
114 b(Therefore)71 b(allo)-5 b(wing)71 b(time)f(for)i(the)g(solv)-5 |
3752 |
|
|
b(en)g(t)70 b(to)i(rearrange)g(itself)d(ab)5 b(out)0 |
3753 |
|
|
470 y(the)60 b(new)h(c)-5 b(harge)60 b(and)h(increase)e(the)h(lik)-5 |
3754 |
|
|
b(eliho)5 b(o)g(d)58 b(of)i(the)h(insertion)e(b)5 b(eing)60 |
3755 |
|
|
b(accepted.)0 1103 y Fj(4)269 b(Prop)7 b(osal)91 b(Summary)0 |
3756 |
|
|
1554 y Fi(Through)83 b(the)e(use)h(of)g(standard)g(Mon)-5 |
3757 |
|
|
b(te)81 b(Carlo)h(tec)-5 b(hniques)81 b(I)h(prop)5 b(ose)81 |
3758 |
|
|
b(to)h(sim)-5 b(ulate)80 b(\014rst)i(the)g(system)f(of)0 |
3759 |
|
|
1825 y(Shiba)-5 b(y)g(ama)61 b Fg(et)66 b(al.)p Fi(,)c(and)h(then)e |
3760 |
|
|
(second)h(that)f(of)h(Hork)-10 b(a)-5 b(y)62 b Fg(et)67 |
3761 |
|
|
b(al.)85 b Fi(In)62 b(the)g(\014rst)f(sim)-5 b(ulation)60 |
3762 |
|
|
b(I)i(plan)f(to)h(w)-5 b(ork)62 b(out)0 2096 y(man)-5 |
3763 |
|
|
b(y)49 b(of)g(the)g(details)f(concerning)h(the)g(metho)5 |
3764 |
|
|
b(dology)48 b(and)h(the)g(atomistic)e(detail)i(of)g(the)g(mo)5 |
3765 |
|
|
b(del)48 b(emplo)-5 b(y)g(ed.)75 b(In)0 2367 y(the)53 |
3766 |
|
|
b(second)g(sim)-5 b(ulation,)51 b(I)j(will)e(use)h(the)g(mo)5 |
3767 |
|
|
b(del)52 b(and)i(metho)5 b(dology)52 b(from)g(the)h(previous)g(sim)-5 |
3768 |
|
|
b(ulation)51 b(and)i(add)0 2638 y(to)61 b(it)g(the)h(capabilit)-5 |
3769 |
|
|
b(y)59 b(of)i(sim)-5 b(ulating)59 b(ions)i(within)g(the)g(solution.)82 |
3770 |
|
|
b(Results)60 b(from)h(b)5 b(oth)61 b(systems)f(will)h(b)5 |
3771 |
|
|
b(e)61 b(used)0 2909 y(to)73 b(determine)f(the)g(micro-structural)f |
3772 |
|
|
(details)g(of)i(the)g(rev)-5 b(ersible)72 b(gel)g(collapse)g(observ)-5 |
3773 |
|
|
b(ed)72 b(in)h(b)5 b(oth)73 b(p)5 b(olymer)0 3180 y(gels.)0 |
3774 |
|
|
3812 y Fj(References)91 4263 y Fi([1])90 b(T)-15 b(aski,)59 |
3775 |
|
|
b(I.;)120 b(Bryne,)60 b(P)-15 b(.)60 b(M.)f Fg(Biop)-9 |
3776 |
|
|
b(olymers)75 b Fa(1992,)59 b Fg(32,)h Fi(1019-1023.)91 |
3777 |
|
|
4684 y([2])90 b(T)-15 b(asaki,)59 b(I.;)120 b(Byrne,)60 |
3778 |
|
|
b(P)-15 b(.)59 b(M.)h Fg(Biop)-9 b(olymers)75 b Fa(1994,)59 |
3779 |
|
|
b Fg(34,)h Fi(209)h(-)f(215.)91 5104 y([3])90 b(Hork)-10 |
3780 |
|
|
b(a)-5 b(y)-15 b(,)60 b(F.;)120 b(T)-15 b(aski,)59 b(I.;)120 |
3781 |
|
|
b(Basser,)59 b(P)-15 b(.)60 b(J.)h Fg(Biomacr)-9 b(omole)g(cules)72 |
3782 |
|
|
b Fa(2000,)59 b Fg(1,)h Fi(84)h(-)f(90.)91 5525 y([4])90 |
3783 |
|
|
b(T)-15 b(anak)-10 b(a,)60 b(T.)g Fg(Physic)-9 b(al)65 |
3784 |
|
|
b(R)-9 b(eview)63 b(L)-9 b(etters)76 b Fa(1978,)59 b |
3785 |
|
|
Fg(40,)h Fi(820)g(-)g(823.)91 5945 y([5])90 b(Shiba)-5 |
3786 |
|
|
b(y)g(ama,)56 b(M.;)115 b(T)-15 b(anak)-10 b(a,)57 b(T.;)115 |
3787 |
|
|
b(Han,)58 b(C.)g(C.)g Fg(Journal)63 b(of)f(Chemic)-9 |
3788 |
|
|
b(al)62 b(Physics)74 b Fa(1992,)56 b Fg(97,)j Fi(6842)e(-)h(6854.)91 |
3789 |
|
|
6366 y([6])90 b(P)-5 b(anagiotop)5 b(oulos,)57 b(A.)k(Z.)f |
3790 |
|
|
Fg(Journal)65 b(of)g(Physics:)84 b(Condense)-9 b(d)65 |
3791 |
|
|
b(Matter)80 b Fa(2000,)59 b Fg(12,)h Fi(R25)g(-)h(R52.)91 |
3792 |
|
|
6786 y([7])90 b(F)-15 b(renk)-5 b(el,)59 b(D.;)120 b(Smit,)59 |
3793 |
|
|
b(B.)g Fg(Understanding)66 b(Mole)-9 b(cular)64 b(Simulation;)71 |
3794 |
|
|
b Fi(Academic)59 b(Press:)79 b(London,)60 b(1996.)91 |
3795 |
|
|
7206 y([8])90 b(Mehlig,)58 b(B.;)120 b(Heermann,)60 b(D.)g(W.;)120 |
3796 |
|
|
b(F)-15 b(orrest,)59 b(B.)h(M.)g Fg(Physic)-9 b(al)65 |
3797 |
|
|
b(R)-9 b(eview)63 b(B)80 b Fa(1992,)58 b Fg(45,)j Fi(679)f(-)g(685.)91 |
3798 |
|
|
7627 y([9])90 b(Y)-15 b(amamoto,)58 b(R.;)120 b(Kob,)61 |
3799 |
|
|
b(W.)f Fg(Physic)-9 b(al)65 b(R)-9 b(eview)63 b(E)83 |
3800 |
|
|
b Fa(2000,)59 b Fg(61,)h Fi(5473)g(-)h(5476.)0 8047 y([10])90 |
3801 |
|
|
b(Lyubarsev,)57 b(A.)i(P)-15 b(.;)117 b(F)-15 b(orrisdahl,)57 |
3802 |
|
|
b(O.)i(K.;)117 b(Laaksonen,)58 b(A.)h Fg(Journal)64 b(of)f(Chemic)-9 |
3803 |
|
|
b(al)62 b(Physics)75 b Fa(1998,)57 b Fg(108,)374 8318 |
3804 |
|
|
y Fi(227)j(-)g(233.)3855 11315 y(5)p eop |
3805 |
|
|
%%Trailer |
3806 |
|
|
end |
3807 |
|
|
userdict /end-hook known{end-hook}if |
3808 |
|
|
%%EOF |