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1 %%
2 %% This is file `amssymb.sty',
3 %% generated with the docstrip utility.
4 %%
5 %% The original source files were:
6 %%
7 %% amssymb.dtx 
8 %% 
9 %%% ====================================================================
10 %%% @LaTeX-file{
11 %%%   filename        = "amssymb.dtx",
12 %%%   version         = "2.2d",
13 %%%   date            = "2002/01/22",
14 %%%   time            = "10:06:53 EST",
15 %%%   checksum        = "51146 363 1168 18275",
16 %%%   author          = "American Mathematical Society",
17 %%%   copyright       = "Copyright 2001 American Mathematical Society,
18 %%%                      all rights reserved.  Copying of this file is
19 %%%                      authorized only if either:
20 %%%                      (1) you make absolutely no changes to your copy,
21 %%%                      including name; OR
22 %%%                      (2) if you do make changes, you first rename it
23 %%%                      to some other name.",
24 %%%   address         = "American Mathematical Society,
25 %%%                      Technical Support,
26 %%%                      Publications Technical Group,
27 %%%                      P. O. Box 6248,
28 %%%                      Providence, RI 02940,
29 %%%                      USA",
30 %%%   telephone       = "401-455-4080 or (in the USA and Canada)
31 %%%                      800-321-4AMS (321-4267)",
32 %%%   FAX             = "401-331-3842",
33 %%%   email           = "tech-support@ams.org (Internet)",
34 %%%   codetable       = "ISO/ASCII",
35 %%%   keywords        = "latex, amslatex, ams-latex, math symbol,
36 %%%                      amsfonts, msam, msbm",
37 %%%   supported       = "yes",
38 %%%   abstract        = "This file is part of the AMSFonts distribution.
39 %%%                      It is a \LaTeX{} package that defines symbol
40 %%%                      names for all the math symbols in the fonts
41 %%%                      MSAM and MSBM, of the AMSFonts (2.0+) collection.",
42 %%%   docstring       = "The checksum field above contains a CRC-16
43 %%%                      checksum as the first value, followed by the
44 %%%                      equivalent of the standard UNIX wc (word
45 %%%                      count) utility output of lines, words, and
46 %%%                      characters.  This is produced by Robert
47 %%%                      Solovay's checksum utility.",
48 %%% }
49 %%% ====================================================================
50 \NeedsTeXFormat{LaTeX2e}% LaTeX 2.09 can't be used (nor non-LaTeX)
51 [1994/12/01]% LaTeX date must be December 1994 or later
52 \ProvidesPackage{amssymb}[2002/01/22 v2.2d]
53 \DeclareOption{psamsfonts}{\PassOptionsToPackage{psamsfonts}{amsfonts}}
54 \ProcessOptions\relax
55 \RequirePackage{amsfonts}[1995/01/01]
56 \let\square\relax \let\rightsquigarrow\square \let\lozenge\square
57 \let\vartriangleright\square \let\vartriangleleft\square
58 \let\trianglerighteq\square \let\trianglelefteq\square
59 \begingroup \catcode`\"=12
60 \DeclareMathSymbol{\boxdot}       {\mathbin}{AMSa}{"00}
61 \DeclareMathSymbol{\boxplus}      {\mathbin}{AMSa}{"01}
62 \DeclareMathSymbol{\boxtimes}     {\mathbin}{AMSa}{"02}
63 \DeclareMathSymbol{\square}       {\mathord}{AMSa}{"03}
64 \DeclareMathSymbol{\blacksquare}  {\mathord}{AMSa}{"04}
65 \DeclareMathSymbol{\centerdot}    {\mathbin}{AMSa}{"05}
66 \DeclareMathSymbol{\lozenge}      {\mathord}{AMSa}{"06}
67 \DeclareMathSymbol{\blacklozenge} {\mathord}{AMSa}{"07}
68 \DeclareMathSymbol{\circlearrowright}   {\mathrel}{AMSa}{"08}
69 \DeclareMathSymbol{\circlearrowleft}    {\mathrel}{AMSa}{"09}
70 %% In amsfonts.sty:
71 %%\DeclareMathSymbol{\rightleftharpoons}{\mathrel}{AMSa}{"0A}
72 \DeclareMathSymbol{\leftrightharpoons}  {\mathrel}{AMSa}{"0B}
73 \DeclareMathSymbol{\boxminus}     {\mathbin}{AMSa}{"0C}
74 \DeclareMathSymbol{\Vdash}        {\mathrel}{AMSa}{"0D}
75 \DeclareMathSymbol{\Vvdash}       {\mathrel}{AMSa}{"0E}
76 \DeclareMathSymbol{\vDash}        {\mathrel}{AMSa}{"0F}
77 \DeclareMathSymbol{\twoheadrightarrow}  {\mathrel}{AMSa}{"10}
78 \DeclareMathSymbol{\twoheadleftarrow}   {\mathrel}{AMSa}{"11}
79 \DeclareMathSymbol{\leftleftarrows}     {\mathrel}{AMSa}{"12}
80 \DeclareMathSymbol{\rightrightarrows}   {\mathrel}{AMSa}{"13}
81 \DeclareMathSymbol{\upuparrows}         {\mathrel}{AMSa}{"14}
82 \DeclareMathSymbol{\downdownarrows} {\mathrel}{AMSa}{"15}
83 \DeclareMathSymbol{\upharpoonright} {\mathrel}{AMSa}{"16}
84  \global\let\restriction\upharpoonright
85 \DeclareMathSymbol{\downharpoonright}   {\mathrel}{AMSa}{"17}
86 \DeclareMathSymbol{\upharpoonleft}  {\mathrel}{AMSa}{"18}
87 \DeclareMathSymbol{\downharpoonleft}{\mathrel}{AMSa}{"19}
88 \DeclareMathSymbol{\rightarrowtail} {\mathrel}{AMSa}{"1A}
89 \DeclareMathSymbol{\leftarrowtail}  {\mathrel}{AMSa}{"1B}
90 \DeclareMathSymbol{\leftrightarrows}{\mathrel}{AMSa}{"1C}
91 \DeclareMathSymbol{\rightleftarrows}{\mathrel}{AMSa}{"1D}
92 \DeclareMathSymbol{\Lsh}            {\mathrel}{AMSa}{"1E}
93 \DeclareMathSymbol{\Rsh}            {\mathrel}{AMSa}{"1F}
94 \DeclareMathSymbol{\rightsquigarrow}  {\mathrel}{AMSa}{"20}
95 \DeclareMathSymbol{\leftrightsquigarrow}{\mathrel}{AMSa}{"21}
96 \DeclareMathSymbol{\looparrowleft}  {\mathrel}{AMSa}{"22}
97 \DeclareMathSymbol{\looparrowright} {\mathrel}{AMSa}{"23}
98 \DeclareMathSymbol{\circeq}       {\mathrel}{AMSa}{"24}
99 \DeclareMathSymbol{\succsim}      {\mathrel}{AMSa}{"25}
100 \DeclareMathSymbol{\gtrsim}       {\mathrel}{AMSa}{"26}
101 \DeclareMathSymbol{\gtrapprox}    {\mathrel}{AMSa}{"27}
102 \DeclareMathSymbol{\multimap}     {\mathrel}{AMSa}{"28}
103 \DeclareMathSymbol{\therefore}    {\mathrel}{AMSa}{"29}
104 \DeclareMathSymbol{\because}      {\mathrel}{AMSa}{"2A}
105 \DeclareMathSymbol{\doteqdot}     {\mathrel}{AMSa}{"2B}
106  \global\let\Doteq\doteqdot
107 \DeclareMathSymbol{\triangleq}    {\mathrel}{AMSa}{"2C}
108 \DeclareMathSymbol{\precsim}      {\mathrel}{AMSa}{"2D}
109 \DeclareMathSymbol{\lesssim}      {\mathrel}{AMSa}{"2E}
110 \DeclareMathSymbol{\lessapprox}   {\mathrel}{AMSa}{"2F}
111 \DeclareMathSymbol{\eqslantless}  {\mathrel}{AMSa}{"30}
112 \DeclareMathSymbol{\eqslantgtr}   {\mathrel}{AMSa}{"31}
113 \DeclareMathSymbol{\curlyeqprec}  {\mathrel}{AMSa}{"32}
114 \DeclareMathSymbol{\curlyeqsucc}  {\mathrel}{AMSa}{"33}
115 \DeclareMathSymbol{\preccurlyeq}  {\mathrel}{AMSa}{"34}
116 \DeclareMathSymbol{\leqq}         {\mathrel}{AMSa}{"35}
117 \DeclareMathSymbol{\leqslant}     {\mathrel}{AMSa}{"36}
118 \DeclareMathSymbol{\lessgtr}      {\mathrel}{AMSa}{"37}
119 \DeclareMathSymbol{\backprime}    {\mathord}{AMSa}{"38}
120 \DeclareMathSymbol{\risingdotseq} {\mathrel}{AMSa}{"3A}
121 \DeclareMathSymbol{\fallingdotseq}{\mathrel}{AMSa}{"3B}
122 \DeclareMathSymbol{\succcurlyeq}  {\mathrel}{AMSa}{"3C}
123 \DeclareMathSymbol{\geqq}         {\mathrel}{AMSa}{"3D}
124 \DeclareMathSymbol{\geqslant}     {\mathrel}{AMSa}{"3E}
125 \DeclareMathSymbol{\gtrless}      {\mathrel}{AMSa}{"3F}
126 %% in amsfonts.sty
127 %% \DeclareMathSymbol{\sqsubset}    {\mathrel}{AMSa}{"40}
128 %% \DeclareMathSymbol{\sqsupset}    {\mathrel}{AMSa}{"41}
129 \DeclareMathSymbol{\vartriangleright}{\mathrel}{AMSa}{"42}
130 \DeclareMathSymbol{\vartriangleleft} {\mathrel}{AMSa}{"43}
131 \DeclareMathSymbol{\trianglerighteq} {\mathrel}{AMSa}{"44}
132 \DeclareMathSymbol{\trianglelefteq}  {\mathrel}{AMSa}{"45}
133 \DeclareMathSymbol{\bigstar}    {\mathord}{AMSa}{"46}
134 \DeclareMathSymbol{\between}    {\mathrel}{AMSa}{"47}
135 \DeclareMathSymbol{\blacktriangledown}  {\mathord}{AMSa}{"48}
136 \DeclareMathSymbol{\blacktriangleright} {\mathrel}{AMSa}{"49}
137 \DeclareMathSymbol{\blacktriangleleft}  {\mathrel}{AMSa}{"4A}
138 \DeclareMathSymbol{\vartriangle}        {\mathrel}{AMSa}{"4D}
139 \DeclareMathSymbol{\blacktriangle}      {\mathord}{AMSa}{"4E}
140 \DeclareMathSymbol{\triangledown}       {\mathord}{AMSa}{"4F}
141 \DeclareMathSymbol{\eqcirc}       {\mathrel}{AMSa}{"50}
142 \DeclareMathSymbol{\lesseqgtr}    {\mathrel}{AMSa}{"51}
143 \DeclareMathSymbol{\gtreqless}    {\mathrel}{AMSa}{"52}
144 \DeclareMathSymbol{\lesseqqgtr}   {\mathrel}{AMSa}{"53}
145 \DeclareMathSymbol{\gtreqqless}   {\mathrel}{AMSa}{"54}
146 \DeclareMathSymbol{\Rrightarrow}  {\mathrel}{AMSa}{"56}
147 \DeclareMathSymbol{\Lleftarrow}   {\mathrel}{AMSa}{"57}
148 \DeclareMathSymbol{\veebar}       {\mathbin}{AMSa}{"59}
149 \DeclareMathSymbol{\barwedge}     {\mathbin}{AMSa}{"5A}
150 \DeclareMathSymbol{\doublebarwedge} {\mathbin}{AMSa}{"5B}
151 %% In amsfonts.sty
152 %%\DeclareMathSymbol{\angle}        {\mathord}{AMSa}{"5C}
153 \DeclareMathSymbol{\measuredangle}  {\mathord}{AMSa}{"5D}
154 \DeclareMathSymbol{\sphericalangle} {\mathord}{AMSa}{"5E}
155 \DeclareMathSymbol{\varpropto}    {\mathrel}{AMSa}{"5F}
156 \DeclareMathSymbol{\smallsmile}   {\mathrel}{AMSa}{"60}
157 \DeclareMathSymbol{\smallfrown}   {\mathrel}{AMSa}{"61}
158 \DeclareMathSymbol{\Subset}       {\mathrel}{AMSa}{"62}
159 \DeclareMathSymbol{\Supset}       {\mathrel}{AMSa}{"63}
160 \DeclareMathSymbol{\Cup}          {\mathbin}{AMSa}{"64}
161  \global\let\doublecup\Cup
162 \DeclareMathSymbol{\Cap}          {\mathbin}{AMSa}{"65}
163  \global\let\doublecap\Cap
164 \DeclareMathSymbol{\curlywedge}   {\mathbin}{AMSa}{"66}
165 \DeclareMathSymbol{\curlyvee}     {\mathbin}{AMSa}{"67}
166 \DeclareMathSymbol{\leftthreetimes} {\mathbin}{AMSa}{"68}
167 \DeclareMathSymbol{\rightthreetimes}{\mathbin}{AMSa}{"69}
168 \DeclareMathSymbol{\subseteqq}    {\mathrel}{AMSa}{"6A}
169 \DeclareMathSymbol{\supseteqq}    {\mathrel}{AMSa}{"6B}
170 \DeclareMathSymbol{\bumpeq}       {\mathrel}{AMSa}{"6C}
171 \DeclareMathSymbol{\Bumpeq}       {\mathrel}{AMSa}{"6D}
172 \DeclareMathSymbol{\lll}          {\mathrel}{AMSa}{"6E}
173  \global\let\llless\lll
174 \DeclareMathSymbol{\ggg}          {\mathrel}{AMSa}{"6F}
175  \global\let\gggtr\ggg
176 \DeclareMathSymbol{\circledS}     {\mathord}{AMSa}{"73}
177 \DeclareMathSymbol{\pitchfork}    {\mathrel}{AMSa}{"74}
178 \DeclareMathSymbol{\dotplus}      {\mathbin}{AMSa}{"75}
179 \DeclareMathSymbol{\backsim}      {\mathrel}{AMSa}{"76}
180 \DeclareMathSymbol{\backsimeq}    {\mathrel}{AMSa}{"77}
181 \DeclareMathSymbol{\complement}   {\mathord}{AMSa}{"7B}
182 \DeclareMathSymbol{\intercal}     {\mathbin}{AMSa}{"7C}
183 \DeclareMathSymbol{\circledcirc}  {\mathbin}{AMSa}{"7D}
184 \DeclareMathSymbol{\circledast}   {\mathbin}{AMSa}{"7E}
185 \DeclareMathSymbol{\circleddash}  {\mathbin}{AMSa}{"7F}
186 %%   Begin AMSb declarations
187 \DeclareMathSymbol{\lvertneqq}    {\mathrel}{AMSb}{"00}
188 \DeclareMathSymbol{\gvertneqq}    {\mathrel}{AMSb}{"01}
189 \DeclareMathSymbol{\nleq}         {\mathrel}{AMSb}{"02}
190 \DeclareMathSymbol{\ngeq}         {\mathrel}{AMSb}{"03}
191 \DeclareMathSymbol{\nless}        {\mathrel}{AMSb}{"04}
192 \DeclareMathSymbol{\ngtr}         {\mathrel}{AMSb}{"05}
193 \DeclareMathSymbol{\nprec}        {\mathrel}{AMSb}{"06}
194 \DeclareMathSymbol{\nsucc}        {\mathrel}{AMSb}{"07}
195 \DeclareMathSymbol{\lneqq}        {\mathrel}{AMSb}{"08}
196 \DeclareMathSymbol{\gneqq}        {\mathrel}{AMSb}{"09}
197 \DeclareMathSymbol{\nleqslant}    {\mathrel}{AMSb}{"0A}
198 \DeclareMathSymbol{\ngeqslant}    {\mathrel}{AMSb}{"0B}
199 \DeclareMathSymbol{\lneq}         {\mathrel}{AMSb}{"0C}
200 \DeclareMathSymbol{\gneq}         {\mathrel}{AMSb}{"0D}
201 \DeclareMathSymbol{\npreceq}      {\mathrel}{AMSb}{"0E}
202 \DeclareMathSymbol{\nsucceq}      {\mathrel}{AMSb}{"0F}
203 \DeclareMathSymbol{\precnsim}     {\mathrel}{AMSb}{"10}
204 \DeclareMathSymbol{\succnsim}     {\mathrel}{AMSb}{"11}
205 \DeclareMathSymbol{\lnsim}        {\mathrel}{AMSb}{"12}
206 \DeclareMathSymbol{\gnsim}        {\mathrel}{AMSb}{"13}
207 \DeclareMathSymbol{\nleqq}        {\mathrel}{AMSb}{"14}
208 \DeclareMathSymbol{\ngeqq}        {\mathrel}{AMSb}{"15}
209 \DeclareMathSymbol{\precneqq}     {\mathrel}{AMSb}{"16}
210 \DeclareMathSymbol{\succneqq}     {\mathrel}{AMSb}{"17}
211 \DeclareMathSymbol{\precnapprox}  {\mathrel}{AMSb}{"18}
212 \DeclareMathSymbol{\succnapprox}  {\mathrel}{AMSb}{"19}
213 \DeclareMathSymbol{\lnapprox}     {\mathrel}{AMSb}{"1A}
214 \DeclareMathSymbol{\gnapprox}     {\mathrel}{AMSb}{"1B}
215 \DeclareMathSymbol{\nsim}         {\mathrel}{AMSb}{"1C}
216 \DeclareMathSymbol{\ncong}        {\mathrel}{AMSb}{"1D}
217 \DeclareMathSymbol{\diagup}       {\mathord}{AMSb}{"1E}
218 \DeclareMathSymbol{\diagdown}     {\mathord}{AMSb}{"1F}
219 \DeclareMathSymbol{\varsubsetneq}   {\mathrel}{AMSb}{"20}
220 \DeclareMathSymbol{\varsupsetneq}   {\mathrel}{AMSb}{"21}
221 \DeclareMathSymbol{\nsubseteqq}     {\mathrel}{AMSb}{"22}
222 \DeclareMathSymbol{\nsupseteqq}     {\mathrel}{AMSb}{"23}
223 \DeclareMathSymbol{\subsetneqq}     {\mathrel}{AMSb}{"24}
224 \DeclareMathSymbol{\supsetneqq}     {\mathrel}{AMSb}{"25}
225 \DeclareMathSymbol{\varsubsetneqq}  {\mathrel}{AMSb}{"26}
226 \DeclareMathSymbol{\varsupsetneqq}  {\mathrel}{AMSb}{"27}
227 \DeclareMathSymbol{\subsetneq}      {\mathrel}{AMSb}{"28}
228 \DeclareMathSymbol{\supsetneq}      {\mathrel}{AMSb}{"29}
229 \DeclareMathSymbol{\nsubseteq}      {\mathrel}{AMSb}{"2A}
230 \DeclareMathSymbol{\nsupseteq}      {\mathrel}{AMSb}{"2B}
231 \DeclareMathSymbol{\nparallel}      {\mathrel}{AMSb}{"2C}
232 \DeclareMathSymbol{\nmid}           {\mathrel}{AMSb}{"2D}
233 \DeclareMathSymbol{\nshortmid}      {\mathrel}{AMSb}{"2E}
234 \DeclareMathSymbol{\nshortparallel} {\mathrel}{AMSb}{"2F}
235 \DeclareMathSymbol{\nvdash}         {\mathrel}{AMSb}{"30}
236 \DeclareMathSymbol{\nVdash}         {\mathrel}{AMSb}{"31}
237 \DeclareMathSymbol{\nvDash}         {\mathrel}{AMSb}{"32}
238 \DeclareMathSymbol{\nVDash}         {\mathrel}{AMSb}{"33}
239 \DeclareMathSymbol{\ntrianglerighteq}{\mathrel}{AMSb}{"34}
240 \DeclareMathSymbol{\ntrianglelefteq}{\mathrel}{AMSb}{"35}
241 \DeclareMathSymbol{\ntriangleleft}  {\mathrel}{AMSb}{"36}
242 \DeclareMathSymbol{\ntriangleright} {\mathrel}{AMSb}{"37}
243 \DeclareMathSymbol{\nleftarrow}     {\mathrel}{AMSb}{"38}
244 \DeclareMathSymbol{\nrightarrow}    {\mathrel}{AMSb}{"39}
245 \DeclareMathSymbol{\nLeftarrow}     {\mathrel}{AMSb}{"3A}
246 \DeclareMathSymbol{\nRightarrow}    {\mathrel}{AMSb}{"3B}
247 \DeclareMathSymbol{\nLeftrightarrow}{\mathrel}{AMSb}{"3C}
248 \DeclareMathSymbol{\nleftrightarrow}{\mathrel}{AMSb}{"3D}
249 \DeclareMathSymbol{\divideontimes}  {\mathbin}{AMSb}{"3E}
250 \DeclareMathSymbol{\varnothing}     {\mathord}{AMSb}{"3F}
251 \DeclareMathSymbol{\nexists}        {\mathord}{AMSb}{"40}
252 \DeclareMathSymbol{\Finv}           {\mathord}{AMSb}{"60}
253 \DeclareMathSymbol{\Game}           {\mathord}{AMSb}{"61}
254 %% In amsfonts.sty:
255 %%\DeclareMathSymbol{\mho}          {\mathord}{AMSb}{"66}
256 \DeclareMathSymbol{\eth}            {\mathord}{AMSb}{"67}
257 \DeclareMathSymbol{\eqsim}          {\mathrel}{AMSb}{"68}
258 \DeclareMathSymbol{\beth}           {\mathord}{AMSb}{"69}
259 \DeclareMathSymbol{\gimel}          {\mathord}{AMSb}{"6A}
260 \DeclareMathSymbol{\daleth}         {\mathord}{AMSb}{"6B}
261 \DeclareMathSymbol{\lessdot}        {\mathbin}{AMSb}{"6C}
262 \DeclareMathSymbol{\gtrdot}         {\mathbin}{AMSb}{"6D}
263 \DeclareMathSymbol{\ltimes}         {\mathbin}{AMSb}{"6E}
264 \DeclareMathSymbol{\rtimes}         {\mathbin}{AMSb}{"6F}
265 \DeclareMathSymbol{\shortmid}       {\mathrel}{AMSb}{"70}
266 \DeclareMathSymbol{\shortparallel}  {\mathrel}{AMSb}{"71}
267 \DeclareMathSymbol{\smallsetminus}  {\mathbin}{AMSb}{"72}
268 \DeclareMathSymbol{\thicksim}       {\mathrel}{AMSb}{"73}
269 \DeclareMathSymbol{\thickapprox}    {\mathrel}{AMSb}{"74}
270 \DeclareMathSymbol{\approxeq}       {\mathrel}{AMSb}{"75}
271 \DeclareMathSymbol{\succapprox}     {\mathrel}{AMSb}{"76}
272 \DeclareMathSymbol{\precapprox}     {\mathrel}{AMSb}{"77}
273 \DeclareMathSymbol{\curvearrowleft} {\mathrel}{AMSb}{"78}
274 \DeclareMathSymbol{\curvearrowright}{\mathrel}{AMSb}{"79}
275 \DeclareMathSymbol{\digamma}        {\mathord}{AMSb}{"7A}
276 \DeclareMathSymbol{\varkappa}       {\mathord}{AMSb}{"7B}
277 \DeclareMathSymbol{\Bbbk}           {\mathord}{AMSb}{"7C}
278 \DeclareMathSymbol{\hslash}         {\mathord}{AMSb}{"7D}
279 %% In amsfonts.sty:
280 %%\DeclareMathSymbol{\hbar}         {\mathord}{AMSb}{"7E}
281 \DeclareMathSymbol{\backepsilon}    {\mathrel}{AMSb}{"7F}
282 \endgroup
283 \endinput
284 %%
285 %% End of file `amssymb.sty'.