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Text File  |  1995-01-26  |  15KB  |  278 lines
  1. %% 
  2. %% This is file `amssymb.sty', generated 
  3. %% on <1995/1/26> with the docstrip utility (2.2i).
  4. %% 
  5. %% The original source files were:
  6. %% 
  7. %% amssymb.dtx 
  8. %%% ====================================================================
  9. %%%  @LaTeX-file{
  10. %%%     filename        = "amssymb.dtx",
  11. %%%     version         = "1.2beta",
  12. %%%     date            = "1994/10/27",
  13. %%%     time            = "15:09:27 EDT",
  14. %%%     author          = "American Mathematical Society",
  15. %%%     copyright       = "Copyright (C) 1994 American Mathematical Society,
  16. %%%                        all rights reserved.  Copying of this file is
  17. %%%                        authorized only if either:
  18. %%%                        (1) you make absolutely no changes to your copy,
  19. %%%                        including name; OR
  20. %%%                        (2) if you do make changes, you first rename it
  21. %%%                        to some other name.",
  22. %%%     address         = "American Mathematical Society,
  23. %%%                        Technical Support,
  24. %%%                        Electronic Products and Services,
  25. %%%                        P. O. Box 6248,
  26. %%%                        Providence, RI 02940,
  27. %%%                        USA",
  28. %%%     telephone       = "401-455-4080 or (in the USA and Canada)
  29. %%%                        800-321-4AMS (321-4267)",
  30. %%%     FAX             = "401-331-3842",
  31. %%%     checksum        = "50290 314 862 16009",
  32. %%%     email           = "tech-support@math.ams.org (Internet)",
  33. %%%     codetable       = "ISO/ASCII",
  34. %%%     keywords        = "latex, amslatex, ams-latex, math symbol,
  35. %%%                        amsfonts, msam, msbm",
  36. %%%     supported       = "yes",
  37. %%%     abstract        = "This is part of the AMSFonts distribution.
  38. %%%                        It is a \LaTeX{} option that defines symbol
  39. %%%                        names for all the math symbols in the fonts
  40. %%%                        MSAM and MSBM, of the AMSFonts (2.0+) package.",
  41. %%%     docstring       = "The checksum field above contains a CRC-16
  42. %%%                        checksum as the first value, followed by the
  43. %%%                        equivalent of the standard UNIX wc (word
  44. %%%                        count) utility output of lines, words, and
  45. %%%                        characters.  This is produced by Robert
  46. %%%                        Solovay's checksum utility.",
  47. %%%  }
  48. %%% ====================================================================
  49. \NeedsTeXFormat{LaTeX2e}
  50. \ProvidesPackage{amssymb}[1994/10/27 v1.2beta]
  51. \RequirePackage{amsfonts}
  52. \DeclareMathSymbol{\boxdot}       {\mathbin}{AMSa}{"00}
  53. \DeclareMathSymbol{\boxplus}      {\mathbin}{AMSa}{"01}
  54. \DeclareMathSymbol{\boxtimes}     {\mathbin}{AMSa}{"02}
  55. \DeclareMathSymbol{\square}       {\mathord}{AMSa}{"03}
  56. \DeclareMathSymbol{\blacksquare}  {\mathord}{AMSa}{"04}
  57. \DeclareMathSymbol{\centerdot}    {\mathbin}{AMSa}{"05}
  58. \DeclareMathSymbol{\lozenge}      {\mathord}{AMSa}{"06}
  59. \DeclareMathSymbol{\blacklozenge} {\mathord}{AMSa}{"07}
  60. \DeclareMathSymbol{\circlearrowright}   {\mathrel}{AMSa}{"08}
  61. \DeclareMathSymbol{\circlearrowleft}    {\mathrel}{AMSa}{"09}
  62. %% In amsfonts.sty:
  63. %%\DeclareMathSymbol{\rightleftharpoons}{\mathrel}{AMSa}{"0A}
  64. \DeclareMathSymbol{\leftrightharpoons}  {\mathrel}{AMSa}{"0B}
  65. \DeclareMathSymbol{\boxminus}     {\mathbin}{AMSa}{"0C}
  66. \DeclareMathSymbol{\Vdash}        {\mathrel}{AMSa}{"0D}
  67. \DeclareMathSymbol{\Vvdash}       {\mathrel}{AMSa}{"0E}
  68. \DeclareMathSymbol{\vDash}        {\mathrel}{AMSa}{"0F}
  69. \DeclareMathSymbol{\twoheadrightarrow}  {\mathrel}{AMSa}{"10}
  70. \DeclareMathSymbol{\twoheadleftarrow}   {\mathrel}{AMSa}{"11}
  71. \DeclareMathSymbol{\leftleftarrows}     {\mathrel}{AMSa}{"12}
  72. \DeclareMathSymbol{\rightrightarrows}   {\mathrel}{AMSa}{"13}
  73. \DeclareMathSymbol{\upuparrows}         {\mathrel}{AMSa}{"14}
  74. \DeclareMathSymbol{\downdownarrows} {\mathrel}{AMSa}{"15}
  75. \DeclareMathSymbol{\upharpoonright} {\mathrel}{AMSa}{"16}
  76.  \let\restriction\upharpoonright
  77. \DeclareMathSymbol{\downharpoonright}   {\mathrel}{AMSa}{"17}
  78. \DeclareMathSymbol{\upharpoonleft}  {\mathrel}{AMSa}{"18}
  79. \DeclareMathSymbol{\downharpoonleft}{\mathrel}{AMSa}{"19}
  80. \DeclareMathSymbol{\rightarrowtail} {\mathrel}{AMSa}{"1A}
  81. \DeclareMathSymbol{\leftarrowtail}  {\mathrel}{AMSa}{"1B}
  82. \DeclareMathSymbol{\leftrightarrows}{\mathrel}{AMSa}{"1C}
  83. \DeclareMathSymbol{\rightleftarrows}{\mathrel}{AMSa}{"1D}
  84. \DeclareMathSymbol{\Lsh}            {\mathrel}{AMSa}{"1E}
  85. \DeclareMathSymbol{\Rsh}            {\mathrel}{AMSa}{"1F}
  86. %% In amsfonts.sty:
  87. %%\DeclareMathSymbol{\rightsquigarrow}  {\mathrel}{AMSa}{"20}
  88. \DeclareMathSymbol{\leftrightsquigarrow}{\mathrel}{AMSa}{"21}
  89. \DeclareMathSymbol{\looparrowleft}  {\mathrel}{AMSa}{"22}
  90. \DeclareMathSymbol{\looparrowright} {\mathrel}{AMSa}{"23}
  91. \DeclareMathSymbol{\circeq}       {\mathrel}{AMSa}{"24}
  92. \DeclareMathSymbol{\succsim}      {\mathrel}{AMSa}{"25}
  93. \DeclareMathSymbol{\gtrsim}       {\mathrel}{AMSa}{"26}
  94. \DeclareMathSymbol{\gtrapprox}    {\mathrel}{AMSa}{"27}
  95. \DeclareMathSymbol{\multimap}     {\mathrel}{AMSa}{"28}
  96. \DeclareMathSymbol{\therefore}    {\mathrel}{AMSa}{"29}
  97. \DeclareMathSymbol{\because}      {\mathrel}{AMSa}{"2A}
  98. \DeclareMathSymbol{\doteqdot}     {\mathrel}{AMSa}{"2B}
  99.  \let\Doteq\doteqdot
  100. \DeclareMathSymbol{\triangleq}    {\mathrel}{AMSa}{"2C}
  101. \DeclareMathSymbol{\precsim}      {\mathrel}{AMSa}{"2D}
  102. \DeclareMathSymbol{\lesssim}      {\mathrel}{AMSa}{"2E}
  103. \DeclareMathSymbol{\lessapprox}   {\mathrel}{AMSa}{"2F}
  104. \DeclareMathSymbol{\eqslantless}  {\mathrel}{AMSa}{"30}
  105. \DeclareMathSymbol{\eqslantgtr}   {\mathrel}{AMSa}{"31}
  106. \DeclareMathSymbol{\curlyeqprec}  {\mathrel}{AMSa}{"32}
  107. \DeclareMathSymbol{\curlyeqsucc}  {\mathrel}{AMSa}{"33}
  108. \DeclareMathSymbol{\preccurlyeq}  {\mathrel}{AMSa}{"34}
  109. \DeclareMathSymbol{\leqq}         {\mathrel}{AMSa}{"35}
  110. \DeclareMathSymbol{\leqslant}     {\mathrel}{AMSa}{"36}
  111. \DeclareMathSymbol{\lessgtr}      {\mathrel}{AMSa}{"37}
  112. \DeclareMathSymbol{\backprime}    {\mathord}{AMSa}{"38}
  113. \DeclareMathSymbol{\risingdotseq} {\mathrel}{AMSa}{"3A}
  114. \DeclareMathSymbol{\fallingdotseq}{\mathrel}{AMSa}{"3B}
  115. \DeclareMathSymbol{\succcurlyeq}  {\mathrel}{AMSa}{"3C}
  116. \DeclareMathSymbol{\geqq}         {\mathrel}{AMSa}{"3D}
  117. \DeclareMathSymbol{\geqslant}     {\mathrel}{AMSa}{"3E}
  118. \DeclareMathSymbol{\gtrless}      {\mathrel}{AMSa}{"3F}
  119. %% in amsfonts.sty
  120. %% \DeclareMathSymbol{\sqsubset}    {\mathrel}{AMSa}{"40}
  121. %% \DeclareMathSymbol{\sqsupset}    {\mathrel}{AMSa}{"41}
  122. %% \DeclareMathSymbol{\vartriangleright}{\mathrel}{AMSa}{"42}
  123. %% \DeclareMathSymbol{\vartriangleleft} {\mathrel}{AMSa}{"43}
  124. %% \DeclareMathSymbol{\trianglerighteq} {\mathrel}{AMSa}{"44}
  125. %% \DeclareMathSymbol{\trianglelefteq}  {\mathrel}{AMSa}{"45}
  126. \DeclareMathSymbol{\bigstar}    {\mathord}{AMSa}{"46}
  127. \DeclareMathSymbol{\between}    {\mathrel}{AMSa}{"47}
  128. \DeclareMathSymbol{\blacktriangledown}  {\mathord}{AMSa}{"48}
  129. \DeclareMathSymbol{\blacktriangleright} {\mathrel}{AMSa}{"49}
  130. \DeclareMathSymbol{\blacktriangleleft}  {\mathrel}{AMSa}{"4A}
  131. \DeclareMathSymbol{\vartriangle}        {\mathrel}{AMSa}{"4D}
  132. \DeclareMathSymbol{\blacktriangle}      {\mathord}{AMSa}{"4E}
  133. \DeclareMathSymbol{\triangledown}       {\mathord}{AMSa}{"4F}
  134. \DeclareMathSymbol{\eqcirc}       {\mathrel}{AMSa}{"50}
  135. \DeclareMathSymbol{\lesseqgtr}    {\mathrel}{AMSa}{"51}
  136. \DeclareMathSymbol{\gtreqless}    {\mathrel}{AMSa}{"52}
  137. \DeclareMathSymbol{\lesseqqgtr}   {\mathrel}{AMSa}{"53}
  138. \DeclareMathSymbol{\gtreqqless}   {\mathrel}{AMSa}{"54}
  139. \DeclareMathSymbol{\Rrightarrow}  {\mathrel}{AMSa}{"56}
  140. \DeclareMathSymbol{\Lleftarrow}   {\mathrel}{AMSa}{"57}
  141. \DeclareMathSymbol{\veebar}       {\mathbin}{AMSa}{"59}
  142. \DeclareMathSymbol{\barwedge}     {\mathbin}{AMSa}{"5A}
  143. \DeclareMathSymbol{\doublebarwedge} {\mathbin}{AMSa}{"5B}
  144. %% In amsfonts.sty
  145. %%\DeclareMathSymbol{\angle}        {\mathord}{AMSa}{"5C}
  146. \DeclareMathSymbol{\measuredangle}  {\mathord}{AMSa}{"5D}
  147. \DeclareMathSymbol{\sphericalangle} {\mathord}{AMSa}{"5E}
  148. \DeclareMathSymbol{\varpropto}    {\mathrel}{AMSa}{"5F}
  149. \DeclareMathSymbol{\smallsmile}   {\mathrel}{AMSa}{"60}
  150. \DeclareMathSymbol{\smallfrown}   {\mathrel}{AMSa}{"61}
  151. \DeclareMathSymbol{\Subset}       {\mathrel}{AMSa}{"62}
  152. \DeclareMathSymbol{\Supset}       {\mathrel}{AMSa}{"63}
  153. \DeclareMathSymbol{\Cup}          {\mathbin}{AMSa}{"64}
  154.  \let\doublecup\Cup
  155. \DeclareMathSymbol{\Cap}          {\mathbin}{AMSa}{"65}
  156.  \let\doublecap\Cap
  157. \DeclareMathSymbol{\curlywedge}   {\mathbin}{AMSa}{"66}
  158. \DeclareMathSymbol{\curlyvee}     {\mathbin}{AMSa}{"67}
  159. \DeclareMathSymbol{\leftthreetimes} {\mathbin}{AMSa}{"68}
  160. \DeclareMathSymbol{\rightthreetimes}{\mathbin}{AMSa}{"69}
  161. \DeclareMathSymbol{\subseteqq}    {\mathrel}{AMSa}{"6A}
  162. \DeclareMathSymbol{\supseteqq}    {\mathrel}{AMSa}{"6B}
  163. \DeclareMathSymbol{\bumpeq}       {\mathrel}{AMSa}{"6C}
  164. \DeclareMathSymbol{\Bumpeq}       {\mathrel}{AMSa}{"6D}
  165. \DeclareMathSymbol{\lll}          {\mathrel}{AMSa}{"6E}
  166.  \let\llless\lll
  167. \DeclareMathSymbol{\ggg}          {\mathrel}{AMSa}{"6F}
  168.  \let\gggtr\ggg
  169. \DeclareMathSymbol{\circledS}     {\mathord}{AMSa}{"73}
  170. \DeclareMathSymbol{\pitchfork}    {\mathrel}{AMSa}{"74}
  171. \DeclareMathSymbol{\dotplus}      {\mathbin}{AMSa}{"75}
  172. \DeclareMathSymbol{\backsim}      {\mathrel}{AMSa}{"76}
  173. \DeclareMathSymbol{\backsimeq}    {\mathrel}{AMSa}{"77}
  174. \DeclareMathSymbol{\complement}   {\mathord}{AMSa}{"7B}
  175. \DeclareMathSymbol{\intercal}     {\mathbin}{AMSa}{"7C}
  176. \DeclareMathSymbol{\circledcirc}  {\mathbin}{AMSa}{"7D}
  177. \DeclareMathSymbol{\circledast}   {\mathbin}{AMSa}{"7E}
  178. \DeclareMathSymbol{\circleddash}  {\mathbin}{AMSa}{"7F}
  179. %%   Begin AMSb declarations
  180. \DeclareMathSymbol{\lvertneqq}    {\mathrel}{AMSb}{"00}
  181. \DeclareMathSymbol{\gvertneqq}    {\mathrel}{AMSb}{"01}
  182. \DeclareMathSymbol{\nleq}         {\mathrel}{AMSb}{"02}
  183. \DeclareMathSymbol{\ngeq}         {\mathrel}{AMSb}{"03}
  184. \DeclareMathSymbol{\nless}        {\mathrel}{AMSb}{"04}
  185. \DeclareMathSymbol{\ngtr}         {\mathrel}{AMSb}{"05}
  186. \DeclareMathSymbol{\nprec}        {\mathrel}{AMSb}{"06}
  187. \DeclareMathSymbol{\nsucc}        {\mathrel}{AMSb}{"07}
  188. \DeclareMathSymbol{\lneqq}        {\mathrel}{AMSb}{"08}
  189. \DeclareMathSymbol{\gneqq}        {\mathrel}{AMSb}{"09}
  190. \DeclareMathSymbol{\nleqslant}    {\mathrel}{AMSb}{"0A}
  191. \DeclareMathSymbol{\ngeqslant}    {\mathrel}{AMSb}{"0B}
  192. \DeclareMathSymbol{\lneq}         {\mathrel}{AMSb}{"0C}
  193. \DeclareMathSymbol{\gneq}         {\mathrel}{AMSb}{"0D}
  194. \DeclareMathSymbol{\npreceq}      {\mathrel}{AMSb}{"0E}
  195. \DeclareMathSymbol{\nsucceq}      {\mathrel}{AMSb}{"0F}
  196. \DeclareMathSymbol{\precnsim}     {\mathrel}{AMSb}{"10}
  197. \DeclareMathSymbol{\succnsim}     {\mathrel}{AMSb}{"11}
  198. \DeclareMathSymbol{\lnsim}        {\mathrel}{AMSb}{"12}
  199. \DeclareMathSymbol{\gnsim}        {\mathrel}{AMSb}{"13}
  200. \DeclareMathSymbol{\nleqq}        {\mathrel}{AMSb}{"14}
  201. \DeclareMathSymbol{\ngeqq}        {\mathrel}{AMSb}{"15}
  202. \DeclareMathSymbol{\precneqq}     {\mathrel}{AMSb}{"16}
  203. \DeclareMathSymbol{\succneqq}     {\mathrel}{AMSb}{"17}
  204. \DeclareMathSymbol{\precnapprox}  {\mathrel}{AMSb}{"18}
  205. \DeclareMathSymbol{\succnapprox}  {\mathrel}{AMSb}{"19}
  206. \DeclareMathSymbol{\lnapprox}     {\mathrel}{AMSb}{"1A}
  207. \DeclareMathSymbol{\gnapprox}     {\mathrel}{AMSb}{"1B}
  208. \DeclareMathSymbol{\nsim}         {\mathrel}{AMSb}{"1C}
  209. \DeclareMathSymbol{\ncong}        {\mathrel}{AMSb}{"1D}
  210. \DeclareMathSymbol{\diagup}       {\mathrel}{AMSb}{"1E}
  211. \DeclareMathSymbol{\diagdown}     {\mathrel}{AMSb}{"1F}
  212. \DeclareMathSymbol{\varsubsetneq}   {\mathrel}{AMSb}{"20}
  213. \DeclareMathSymbol{\varsupsetneq}   {\mathrel}{AMSb}{"21}
  214. \DeclareMathSymbol{\nsubseteqq}     {\mathrel}{AMSb}{"22}
  215. \DeclareMathSymbol{\nsupseteqq}     {\mathrel}{AMSb}{"23}
  216. \DeclareMathSymbol{\subsetneqq}     {\mathrel}{AMSb}{"24}
  217. \DeclareMathSymbol{\supsetneqq}     {\mathrel}{AMSb}{"25}
  218. \DeclareMathSymbol{\varsubsetneqq}  {\mathrel}{AMSb}{"26}
  219. \DeclareMathSymbol{\varsupsetneqq}  {\mathrel}{AMSb}{"27}
  220. \DeclareMathSymbol{\subsetneq}      {\mathrel}{AMSb}{"28}
  221. \DeclareMathSymbol{\supsetneq}      {\mathrel}{AMSb}{"29}
  222. \DeclareMathSymbol{\nsubseteq}      {\mathrel}{AMSb}{"2A}
  223. \DeclareMathSymbol{\nsupseteq}      {\mathrel}{AMSb}{"2B}
  224. \DeclareMathSymbol{\nparallel}      {\mathrel}{AMSb}{"2C}
  225. \DeclareMathSymbol{\nmid}           {\mathrel}{AMSb}{"2D}
  226. \DeclareMathSymbol{\nshortmid}      {\mathrel}{AMSb}{"2E}
  227. \DeclareMathSymbol{\nshortparallel} {\mathrel}{AMSb}{"2F}
  228. \DeclareMathSymbol{\nvdash}         {\mathrel}{AMSb}{"30}
  229. \DeclareMathSymbol{\nVdash}         {\mathrel}{AMSb}{"31}
  230. \DeclareMathSymbol{\nvDash}         {\mathrel}{AMSb}{"32}
  231. \DeclareMathSymbol{\nVDash}         {\mathrel}{AMSb}{"33}
  232. \DeclareMathSymbol{\ntrianglerighteq}{\mathrel}{AMSb}{"34}
  233. \DeclareMathSymbol{\ntrianglelefteq}{\mathrel}{AMSb}{"35}
  234. \DeclareMathSymbol{\ntriangleleft}  {\mathrel}{AMSb}{"36}
  235. \DeclareMathSymbol{\ntriangleright} {\mathrel}{AMSb}{"37}
  236. \DeclareMathSymbol{\nleftarrow}     {\mathrel}{AMSb}{"38}
  237. \DeclareMathSymbol{\nrightarrow}    {\mathrel}{AMSb}{"39}
  238. \DeclareMathSymbol{\nLeftarrow}     {\mathrel}{AMSb}{"3A}
  239. \DeclareMathSymbol{\nRightarrow}    {\mathrel}{AMSb}{"3B}
  240. \DeclareMathSymbol{\nLeftrightarrow}{\mathrel}{AMSb}{"3C}
  241. \DeclareMathSymbol{\nleftrightarrow}{\mathrel}{AMSb}{"3D}
  242. \DeclareMathSymbol{\divideontimes}  {\mathbin}{AMSb}{"3E}
  243. \DeclareMathSymbol{\varnothing}     {\mathord}{AMSb}{"3F}
  244. \DeclareMathSymbol{\nexists}        {\mathord}{AMSb}{"40}
  245. \DeclareMathSymbol{\Finv}           {\mathord}{AMSb}{"60}
  246. \DeclareMathSymbol{\Game}           {\mathord}{AMSb}{"61}
  247. %% In amsfonts.sty:
  248. %%\DeclareMathSymbol{\mho}          {\mathord}{AMSb}{"66}
  249. \DeclareMathSymbol{\eth}            {\mathord}{AMSb}{"67}
  250. \DeclareMathSymbol{\eqsim}          {\mathrel}{AMSb}{"68}
  251. \DeclareMathSymbol{\beth}           {\mathord}{AMSb}{"69}
  252. \DeclareMathSymbol{\gimel}          {\mathord}{AMSb}{"6A}
  253. \DeclareMathSymbol{\daleth}         {\mathord}{AMSb}{"6B}
  254. \DeclareMathSymbol{\lessdot}        {\mathbin}{AMSb}{"6C}
  255. \DeclareMathSymbol{\gtrdot}         {\mathbin}{AMSb}{"6D}
  256. \DeclareMathSymbol{\ltimes}         {\mathbin}{AMSb}{"6E}
  257. \DeclareMathSymbol{\rtimes}         {\mathbin}{AMSb}{"6F}
  258. \DeclareMathSymbol{\shortmid}       {\mathrel}{AMSb}{"70}
  259. \DeclareMathSymbol{\shortparallel}  {\mathrel}{AMSb}{"71}
  260. \DeclareMathSymbol{\smallsetminus}  {\mathbin}{AMSb}{"72}
  261. \DeclareMathSymbol{\thicksim}       {\mathrel}{AMSb}{"73}
  262. \DeclareMathSymbol{\thickapprox}    {\mathrel}{AMSb}{"74}
  263. \DeclareMathSymbol{\approxeq}       {\mathrel}{AMSb}{"75}
  264. \DeclareMathSymbol{\succapprox}     {\mathrel}{AMSb}{"76}
  265. \DeclareMathSymbol{\precapprox}     {\mathrel}{AMSb}{"77}
  266. \DeclareMathSymbol{\curvearrowleft} {\mathrel}{AMSb}{"78}
  267. \DeclareMathSymbol{\curvearrowright}{\mathrel}{AMSb}{"79}
  268. \DeclareMathSymbol{\digamma}        {\mathord}{AMSb}{"7A}
  269. \DeclareMathSymbol{\varkappa}       {\mathord}{AMSb}{"7B}
  270. \DeclareMathSymbol{\Bbbk}           {\mathord}{AMSb}{"7C}
  271. \DeclareMathSymbol{\hslash}         {\mathord}{AMSb}{"7D}
  272. %% In amsfonts.sty:
  273. %%\DeclareMathSymbol{\hbar}         {\mathord}{AMSb}{"7E}
  274. \DeclareMathSymbol{\backepsilon}    {\mathrel}{AMSb}{"7F}
  275. \endinput
  276. %% 
  277. %% End of file `amssymb.sty'.
  278.