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Text File  |  1995-03-15  |  39.3 KB  |  1,097 lines
  1. %% 
  2. %% This is file `amsproc.cls', generated 
  3. %% on <1995/2/23> with the docstrip utility (2.2i).
  4. %% 
  5. %% The original source files were:
  6. %% 
  7. %% amsclass.dtx  (with options: `amsproc')
  8. %%% ====================================================================
  9. %%%  @LaTeX-file{
  10. %%%     filename        = "amsclass.dtx",
  11. %%%     version         = "1.2b",
  12. %%%     date            = "1995/02/23",
  13. %%%     time            = "10:06:48 EST",
  14. %%%     author          = "American Mathematical Society",
  15. %%%     copyright       = "Copyright (C) 1995 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        = "06446 3073 12220 114673",
  32. %%%     email           = "tech-support@math.ams.org (Internet)",
  33. %%%     codetable       = "ISO/ASCII",
  34. %%%     keywords        = "latex, amslatex, ams-latex",
  35. %%%     supported       = "yes",
  36. %%%     abstract        = "This is part of the AMS-\LaTeX{} distribution.
  37. %%%                        It produces output conforming to the style
  38. %%%                        conventions of American Mathematical Society
  39. %%%                        publications.  The file \fn{amsclass.dtx} is
  40. %%%                        converted by the installation procedure
  41. %%%                        into three document classes:
  42. %%%                        \cls{amsart}, \cls{amsproc}, and \cls{amsbook},
  43. %%%                        which are intended, respectively,
  44. %%%                        for articles and books containing mathematical
  45. %%%                        research; both class files will also carry this
  46. %%%                        heading, and the particular class should be
  47. %%%                        determined from the external file name.",
  48. %%%     docstring       = "The checksum field above contains a CRC-16
  49. %%%                        checksum as the first value, followed by the
  50. %%%                        equivalent of the standard UNIX wc (word
  51. %%%                        count) utility output of lines, words, and
  52. %%%                        characters.  This is produced by Robert
  53. %%%                        Solovay's checksum utility.",
  54. %%%  }
  55. %%% ====================================================================
  56. \NeedsTeXFormat{LaTeX2e}
  57. \ProvidesClass{amsproc}[1995/02/23 v1.2b]
  58. \def\@tempa#1#2\@nil{\edef\@classname{#1}}
  59. \expandafter\@tempa\@currnamestack{}{}{}\@nil
  60. \ifx\@classname\@empty \edef\@classname{\@currname}\fi
  61. \DeclareOption{a4paper}{\paperheight 297mm\paperwidth 210mm
  62.   \textheight 54.5pc }
  63. \DeclareOption{letterpaper}{\paperheight 11in\paperwidth 8.5in }
  64. \DeclareOption{landscape}{\@tempdima\paperheight
  65.   \paperheight\paperwidth \paperwidth\@tempdima}
  66. \DeclareOption{portrait}{}
  67. \DeclareOption{oneside}{\@twosidefalse \@mparswitchfalse}
  68. \DeclareOption{twoside}{\@twosidetrue  \@mparswitchtrue}
  69. \DeclareOption{draft}{\overfullrule5\p@ }
  70. \DeclareOption{final}{\overfullrule\z@ }
  71. \newif\if@titlepage
  72. \DeclareOption{titlepage}{\@titlepagetrue}
  73. \DeclareOption{notitlepage}{\@titlepagefalse}
  74. \DeclareOption{onecolumn}{\@twocolumnfalse}
  75. \DeclareOption{twocolumn}{\@twocolumntrue}
  76. \DeclareOption{nomath}{%
  77.   \def\numberwithin##1##2{\@ifundefined{c@##1}{\@nocounterr{##1}}{%
  78.     \@ifundefined{c@##2}{\@nocounterr{##2}}{%
  79.     \@addtoreset{##1}{##2}%
  80.     \toks@\@xp\@xp\@xp{\csname the##1\endcsname}%
  81.     \@xp\xdef\csname the##1\endcsname
  82.       {\@xp\@nx\csname the##2\endcsname
  83.        .\the\toks@}}}}
  84. }
  85. \def\mathfrak{needed}
  86. \DeclareOption{noamsfonts}{\let\mathfrak\relax}
  87. \DeclareOption{psamsfonts}{%
  88.   \PassOptionsToPackage{psamsfonts}{amsfonts}%
  89.   \PassOptionsToPackage{cmex10}{amsmath}}
  90. \newif\iftagsleft@
  91. \DeclareOption{leqno}{%
  92.   \tagsleft@true \PassOptionsToPackage{leqno}{amsmath}}
  93. \DeclareOption{reqno}{%
  94.   \tagsleft@false \PassOptionsToPackage{reqno}{amsmath}}
  95. \newif\ifctagsplit@
  96. \DeclareOption{centertags}{%
  97.   \ctagsplit@true \PassOptionsToPackage{centertags}{amsmath}}
  98. \DeclareOption{tbtags}{%
  99.   \ctagsplit@false \PassOptionsToPackage{tbtags}{amsmath}}
  100. \DeclareOption{fleqn}{%
  101.   \def\[{\relax
  102.     \ifmmode\@badmath
  103.     \else
  104.       \begin{trivlist}%
  105.       \@beginparpenalty\predisplaypenalty
  106.       \@endparpenalty\postdisplaypenalty
  107.       \item[]\leavevmode
  108.       \hbox to\linewidth\bgroup$\displaystyle
  109.       \hskip\mathindent\bgroup
  110.     \fi}%
  111.   \def\]{\relax
  112.     \ifmmode
  113.       \egroup \m@th$\hfil \egroup
  114.       \end{trivlist}%
  115.     \else \@badmath
  116.     \fi}%
  117.   \renewenvironment{equation}{%
  118.     \@beginparpenalty\predisplaypenalty
  119.     \@endparpenalty\postdisplaypenalty
  120.     \refstepcounter{equation}%
  121.     \@topsep\abovedisplayskip \trivlist
  122.     \item[]\leavevmode
  123.     \hbox to\linewidth\bgroup\hskip\mathindent$\displaystyle
  124.   }{%
  125.     \m@th$\hfil \displaywidth\linewidth \hbox{\@eqnnum}\egroup
  126.     \endtrivlist
  127.   }%
  128.   \renewenvironment{eqnarray}{%
  129.     \stepcounter{equation}\let\@currentlabel\theequation
  130.     \global\@eqnswtrue \global\@eqcnt\z@ \tabskip\mathindent
  131.     \let\\=\@eqncr \abovedisplayskip\topsep
  132.     \ifvmode \advance\abovedisplayskip\partopsep \fi
  133.     \belowdisplayskip\abovedisplayskip
  134.     \belowdisplayshortskip\abovedisplayskip
  135.     \abovedisplayshortskip\abovedisplayskip
  136.     $$\everycr{}\halign to\linewidth\bgroup
  137.       \hskip\@centering
  138.       $\displaystyle\tabskip\z@skip####\m@th$&%
  139.       \@eqnsel \global\@eqcnt\@ne
  140.       \hfil${}####{}\m@th$\hfil&%
  141.       \global\@eqcnt\tw@
  142.       $\displaystyle ####\m@th$\hfil\tabskip\@centering&%
  143.       \global\@eqcnt\thr@@
  144.       \hbox to \z@\bgroup\hss####\egroup\tabskip\z@skip\cr
  145.     }{%
  146.       \@@eqncr \egroup \global\advance\c@equation\m@ne$$%
  147.       \global\@ignoretrue
  148.     }%
  149.   \newdimen\mathindent \mathindent\leftmargini
  150. }
  151. \newcommand{\@mainsize}{10}
  152. \newcommand{\@ptsize}{0}
  153. \newcommand{\larger}[1][1]{%
  154.   \count@\@currsizeindex \advance\count@#1\relax
  155.   \ifnum\count@<\z@ \count@\z@ \else\ifnum\count@>12 \count@12 \fi\fi
  156.   \ifcase\count@
  157.     \Tiny\or\Tiny\or\tiny\or\SMALL\or\Small\or\small
  158.     \or\normalsize
  159.     \or\large\or\Large\or\LARGE\or\huge\or\Huge\else\Huge
  160.   \fi
  161. }
  162. \newcommand{\smaller}[1][1]{\larger[-#1]}
  163. \def\@adjustvertspacing{%
  164.   \bigskipamount.7\baselineskip plus.7\baselineskip
  165.   \medskipamount\bigskipamount \divide\medskipamount\tw@
  166.   \smallskipamount\medskipamount \divide\smallskipamount\tw@
  167.   \abovedisplayskip\medskipamount
  168.   \belowdisplayskip \abovedisplayskip
  169.   \abovedisplayshortskip\abovedisplayskip
  170.   \advance\abovedisplayshortskip-1\abovedisplayskip
  171.   \belowdisplayshortskip\abovedisplayshortskip
  172.   \advance\belowdisplayshortskip 1\smallskipamount
  173.   \jot\baselineskip \divide\jot 4 \relax
  174. }
  175. \renewcommand\normalsize{\@xsetfontsize\normalsize 6%
  176.   \@adjustvertspacing \let\@listi\@listI}
  177. \newcommand\Tiny{\@xsetfontsize\Tiny 1}
  178. \newcommand\tiny{\@xsetfontsize\tiny 2}
  179. \newcommand\SMALL{\@xsetfontsize\SMALL 3}
  180. \newcommand\Small{\@xsetfontsize\Small 4%
  181.   \@adjustvertspacing
  182.   \def\@listi{\topsep\smallskipamount \parsep\z@skip \itemsep\z@skip}}
  183. \newcommand\small{\@xsetfontsize\small 5\@adjustvertspacing}
  184. \def\footnotesize{\Small}
  185. \def\scriptsize{\SMALL}
  186. \newcommand\large{\@xsetfontsize\large 7\@adjustvertspacing}
  187. \newcommand\Large{\@xsetfontsize\Large 8\@adjustvertspacing}
  188. \newcommand\LARGE{\@xsetfontsize\LARGE 9}
  189. \newcommand\huge{\@xsetfontsize\huge{10}}
  190. \newcommand\Huge{\@xsetfontsize\Huge{11}}
  191. \def\@xsetfontsize#1#2{%
  192.   \chardef\@currsizeindex#2\relax
  193.   \edef\@tempa{\@nx\@setfontsize\@nx#1%
  194.     \@xp\ifcase\@xp\@currsizeindex\@typesizes
  195.       \else{99}{99}\fi}%
  196.   \@tempa
  197. }
  198. \chardef\@currsizeindex=6
  199. \widowpenalty=10000
  200. \clubpenalty=10000
  201. \brokenpenalty=10000
  202. \newdimen\linespacing
  203. \lineskip=1pt \lineskiplimit=1pt
  204. \normallineskip=1pt \normallineskiplimit=1pt
  205. \let\baselinestretch=\@empty
  206. \headheight=5pt \headsep=14pt
  207. \footskip=12pt
  208. \textheight=50.5pc \topskip=10pt
  209. \textwidth=30pc
  210. \columnsep=10pt \columnseprule=0pt
  211. \marginparwidth=90pt
  212. \marginparsep=11pt
  213. \marginparpush=5pt
  214. \AtBeginDocument{\settoheight{\footnotesep}{\footnotesize M$^1$}}
  215. \skip\footins=7pt plus11pt
  216. \skip\@mpfootins=\skip\footins
  217. \fboxsep=3pt \fboxrule=.4pt
  218. \arrayrulewidth=.4pt    \doublerulesep=2pt
  219. \labelsep=5pt           \arraycolsep=\labelsep
  220. \tabcolsep=\labelsep    \tabbingsep=\labelsep
  221. \floatsep=15pt plus 12pt    \dblfloatsep=15pt plus 12pt
  222. \textfloatsep=\floatsep  \dbltextfloatsep=15pt plus 12pt
  223. \intextsep=\floatsep
  224. \@fptop=0pt plus1fil     \@dblfptop=0pt plus1fil
  225. \@fpbot=0pt plus1fil     \@dblfpbot=0pt plus1fil
  226. \@fpsep=8pt plus2fil     \@dblfpsep=8pt plus2fil\relax
  227. \parskip=0pt \relax
  228. \newdimen\normalparindent
  229. \normalparindent=18pt
  230. \parindent=\normalparindent
  231. \partopsep=0pt \relax \parsep=0pt \relax \itemsep=0pt \relax
  232. \@lowpenalty=51         \@medpenalty=151        \@highpenalty=301
  233. \@beginparpenalty=-\@lowpenalty
  234. \@endparpenalty=-\@lowpenalty
  235. \@itempenalty=-\@lowpenalty
  236. \DeclareOption{10pt}{\def\@mainsize{10}\def\@ptsize{0}%
  237.   \def\@typesizes{%
  238.     \or{5}{6}\or{6}{7}\or{7}{8}\or{8}{10}\or{9}{11}%
  239.     \or{10}{12}% normalsize
  240.     \or{\@xipt}{13}\or{\@xiipt}{14}\or{\@xivpt}{17}%
  241.     \or{\@xviipt}{20}\or{\@xxpt}{24}}%
  242.   \normalsize \linespacing=\baselineskip
  243. }
  244. \DeclareOption{11pt}{\def\@mainsize{11}\def\@ptsize{1}%
  245.   \def\@typesizes{%
  246.     \or{6}{7}\or{7}{8}\or{8}{10}\or{9}{11}\or{10}{12}%
  247.     \or{\@xipt}{13}% normalsize
  248.     \or{\@xiipt}{14}\or{\@xivpt}{17}\or{\@xviipt}{20}%
  249.     \or{\@xxpt}{24}\or{\@xxvpt}{30}}%
  250.   \normalsize \linespacing=\baselineskip
  251. }
  252. \DeclareOption{12pt}{\def\@mainsize{12}\def\@ptsize{2}%
  253.   \def\@typesizes{%
  254.     \or{7}{8}\or{8}{10}\or{9}{11}\or{10}{12}\or{\@xipt}{13}%
  255.     \or{\@xiipt}{14}% normalsize
  256.     \or{\@xivpt}{17}\or{\@xviipt}{20}\or{\@xxpt}{24}%
  257.     \or{\@xxvpt}{30}\or{\@xxvpt}{30}}%
  258.   \normalsize \linespacing=\baselineskip
  259. }
  260. \DeclareOption{8pt}{\def\@mainsize{8}\def\@ptsize{8}%
  261.   \def\@typesizes{%
  262.     \or{5}{6}\or{5}{6}\or{5}{6}\or{6}{7}\or{7}{8}%
  263.     \or{8}{10}% normalsize
  264.     \or{9}{11}\or{10}{12}\or{\@xipt}{13}%
  265.     \or{\@xiipt}{14}\or{\@xivpt}{17}}%
  266.   \normalsize \linespacing=\baselineskip
  267. }
  268. \DeclareOption{9pt}{\def\@mainsize{9}\def\@ptsize{9}%
  269.   \def\@typesizes{%
  270.     \or{5}{6}\or{5}{6}\or{6}{7}\or{7}{8}\or{8}{10}%
  271.     \or{9}{11}% normalsize
  272.     \or{10}{12}\or{\@xipt}{13}\or{\@xiipt}{14}%
  273.     \or{\@xivpt}{17}\or{\@xviipt}{20}}%
  274.   \normalsize \linespacing=\baselineskip
  275. }
  276. \def\ps@empty{\let\@mkboth\@gobbletwo
  277.   \let\@oddhead\@empty \let\@evenhead\@empty
  278.   \let\@oddfoot\@empty \let\@evenfoot\@empty
  279.   \global\topskip\normaltopskip}
  280. \def\ps@plain{\ps@empty
  281.   \def\@oddfoot{\normalfont\scriptsize \hfil\thepage\hfil}%
  282.   \let\@evenfoot\@oddfoot}
  283. \def\ps@headings{\ps@empty
  284.   \def\@evenhead{\normalfont\scriptsize
  285.       \rlap{\thepage}\hfil \leftmark{}{}\hfil}%
  286.   \def\@oddhead{\normalfont\scriptsize \hfil
  287.       \rightmark{}{}\hfil \llap{\thepage}}%
  288.   \let\@mkboth\markboth
  289. }
  290. \let\sectionname\@empty
  291. \let\subsectionname\@empty
  292. \let\subsubsectionname\@empty
  293. \def\leftmark{\expandafter\@firstoftwo\topmark{}{}}
  294. \def\rightmark{\expandafter\@secondoftwo\botmark{}{}}
  295. \def\ps@firstpage{\ps@plain
  296.   \def\@oddfoot{\normalfont\scriptsize \hfil\thepage\hfil
  297.      \global\topskip\normaltopskip}%
  298.   \let\@evenfoot\@oddfoot
  299.   \def\@oddhead{\serieslogo@\hss}%
  300.   \let\@evenhead\@oddhead}% in case an article starts on a left-hand page
  301. \long\def\@nilgobble#1\@nil{}
  302. \def\markboth#1#2{%
  303.   \begingroup
  304.     \@temptokena{{#1}{#2}}\xdef\@themark{\the\@temptokena}%
  305.     \mark{\the\@temptokena}%
  306.   \endgroup
  307.   \if@nobreak\ifvmode\nobreak\fi\fi}
  308. \def\ps@myheadings{\ps@headings \let\@mkboth\@gobbletwo}
  309. \newskip\normaltopskip
  310. \normaltopskip=10pt \relax
  311. \let\sectionmark\@gobble
  312. \let\subsectionmark\@gobble
  313. \let\subsubsectionmark\@gobble
  314. \let\paragraphmark\@gobble
  315.  
  316. \DeclareOption{makeidx}{}
  317. \input{amsgen.sty}
  318. \ExecuteOptions{leqno,centertags,letterpaper,portrait,%
  319.   10pt,twoside,onecolumn,final}
  320. \ProcessOptions\relax
  321. \if@compatibility
  322.   \def\@tempa#1{\let\mathfrak\relax
  323.     \RequirePackage{amstex}\relax}\expandafter\@tempa
  324. \else
  325.   \expandafter\@iden
  326. \fi
  327. {% if native mode
  328. \@ifundefined{numberwithin}{\let\@tempa\relax}{\let\@tempa\@gobbletwo}
  329. \@tempa
  330. \RequirePackage{amsmath}\relax
  331. \ifx\relax\mathfrak \@xp\@gobbletwo \else \let\mathfrak\relax \fi
  332. \RequirePackage{amsfonts}\relax
  333. }% end native mode branch
  334. \newcommand{\uppercasenonmath}[1]{\toks@\@emptytoks
  335.   \@xp\@skipmath\@xp\@empty#1$$%
  336.   \edef#1{\@nx\@upprep\the\toks@}%
  337. }
  338. \newcommand{\@upprep}{%
  339.   \spaceskip1.3\fontdimen2\font plus1.3\fontdimen3\font
  340.   \upchars@}
  341. \newcommand{\upchars@}{%
  342.   \def\ss{SS}\def\i{I}\def\j{J}\def\ae{\AE}\def\oe{\OE}%
  343.   \def\o{\O}\def\aa{\AA}\def\l{\L}\def\Mc{M{\scshape c}}}
  344. \newcommand{\@skipmath}{}
  345. \long\def\@skipmath#1$#2${%
  346.   \@xskipmath#1\(\)%
  347.   \@ifnotempty{#2}{\toks@\@xp{\the\toks@$#2$}\@skipmath\@empty}}%
  348. \newcommand{\@xskipmath}{}
  349. \long\def\@xskipmath#1\(#2\){%
  350.   \uppercase{\toks@\@xp\@xp\@xp{\@xp\the\@xp\toks@#1}}%
  351.   \@ifnotempty{#2}{\toks@\@xp{\the\toks@\(#2\)}\@xskipmath\@empty}}%
  352. \newcommand{\today}{%
  353.   \relax\ifcase\month\or
  354.   January\or February\or March\or April\or May\or June\or
  355.   July\or August\or September\or October\or November\or December\fi
  356.   \space\number\day, \number\year}
  357. \DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm}
  358. \DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf}
  359. \DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt}
  360. \DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf}
  361. \DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit}
  362. \DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl}
  363. \DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc}
  364. \renewcommand{\title}[2][]{\gdef\shorttitle{#1}\gdef\@title{#2}}
  365. \edef\title{\@nx\@dblarg
  366.   \@xp\@nx\csname\string\title\endcsname}
  367. \renewcommand{\author}[2][]{%
  368.   \ifx\@empty\authors
  369.     \gdef\shortauthors{#1}\gdef\authors{#2}%
  370.   \else
  371.     \g@addto@macro\shortauthors{\and#1}%
  372.     \g@addto@macro\authors{\and#2}%
  373.   \fi
  374.   \g@addto@macro\addresses{\author{}}%
  375. }
  376. \edef\author{\@nx\@dblarg
  377.   \@xp\@nx\csname\string\author\endcsname}
  378. \let\shortauthors\@empty   \let\authors\@empty
  379. \let\addresses\@empty      \let\thankses\@empty
  380. \newcommand{\address}[2][]{\g@addto@macro\addresses{\address{#1}{#2}}}
  381. \newcommand{\curraddr}[2][]{\g@addto@macro\addresses{\curraddr{#1}{#2}}}
  382. \newcommand{\email}[2][]{\g@addto@macro\addresses{\email{#1}{#2}}}
  383. \renewcommand{\thanks}[1]{\g@addto@macro\thankses{\thanks{#1}}}
  384. \def\enddoc@text{\ifx\@empty\@translators \else\@settranslators\fi
  385.   \ifx\@empty\addresses \else\@setaddresses\fi}
  386. \AtEndDocument{\enddoc@text}
  387. \def\@setaddresses{\par
  388.   \nobreak \begingroup
  389. \footnotesize
  390.   \def\author##1{\nobreak\addvspace\bigskipamount}%
  391.   \def\\{\unskip, \ignorespaces}%
  392.   \interlinepenalty\@M
  393.   \def\address##1##2{\begingroup
  394.     \par\addvspace\bigskipamount\indent
  395.     \@ifnotempty{##1}{(\ignorespaces##1\unskip) }%
  396.     {\scshape\ignorespaces##2}\par\endgroup}%
  397.   \def\curraddr##1##2{\begingroup
  398.     \@ifnotempty{##2}{\nobreak\indent{\itshape Current address}%
  399.       \@ifnotempty{##1}{, \ignorespaces##1\unskip}\/:\space
  400.       ##2\par\endgroup}}%
  401.   \def\email##1##2{\begingroup
  402.     \@ifnotempty{##2}{\nobreak\indent{\itshape E-mail address}%
  403.       \@ifnotempty{##1}{, \ignorespaces##1\unskip}\/:\space
  404.       \ttfamily##2\par\endgroup}}%
  405.   \addresses
  406.   \endgroup
  407. }
  408. \let\@date\@empty
  409. \def\dedicatory#1{\def\@dedicatory{#1}}
  410. \let\@dedicatory=\@empty
  411. \def\keywords#1{\def\@keywords{#1}}
  412. \let\@keywords=\@empty
  413. \def\subjclass#1{\def\@subjclass{#1}}
  414. \let\@subjclass=\@empty
  415. \def\translator#1{\g@addto@macro\@translators{\and#1}}
  416. \let\@translators=\@empty
  417. \def\@settranslators{\par\begingroup
  418.   \addvspace{6\p@\@plus9\p@}%
  419.   \hbox to\columnwidth{\hss\normalfont\normalsize
  420.     Translated by %
  421.     \andify\@translators \uppercasenonmath\@translators
  422.     \@translators}
  423.   \endgroup
  424. }
  425. \newcommand{\xandlist}[4]{\@andlista{{#1}{#2}{#3}}#4\and\and}
  426. \def\@andlista#1#2\and#3\and{\@andlistc{#2}\@ifnotempty{#3}{%
  427.   \@andlistb#1{#3}}}
  428. \def\@andlistb#1#2#3#4#5\and{%
  429.   \@ifempty{#5}{%
  430.     \@andlistc{#2#4}%
  431.   }{%
  432.     \@andlistc{#1#4}\@andlistb{#1}{#3}{#3}{#5}%
  433.   }}
  434. \let\@andlistc\@iden
  435. \newcommand{\nxandlist}[4]{%
  436.   \def\@andlistc##1{\toks@\@xp{\the\toks@##1}}%
  437.   \toks@{\toks@\@emptytoks \@andlista{{#1}{#2}{#3}}}%
  438.   \the\@xp\toks@#4\and\and
  439.   \edef#4{\the\toks@}%
  440.   \let\@andlistc\@iden}
  441. \newcommand{\andify}{%
  442.   \nxandlist{\unskip, }{\unskip{} and~}{\unskip, and~}}
  443. \def\and{\unskip{ }and \ignorespaces}
  444. \def\maketitle{\par
  445.   \@topnum\z@ % this prevents figures from falling at the top of page 1
  446.   \@setcopyright
  447.   \uppercasenonmath\shorttitle
  448.   \ifx\@empty\shortauthors \let\shortauthors\shorttitle
  449.   \else \andify\shortauthors \uppercasenonmath\shortauthors \fi
  450.   \begingroup
  451.   \@maketitle
  452.   \toks@\@xp{\shortauthors}\@temptokena\@xp{\shorttitle}%
  453.   \edef\@tempa{\@nx\markboth{\the\toks@}{\the\@temptokena}}\@tempa
  454.   \endgroup
  455. \thispagestyle{firstpage}% this sets first page specifications
  456.   \c@footnote\z@
  457.   \def\do##1{\let##1\relax}%
  458.   \do\maketitle \do\@maketitle \do\title \do\@xtitle \do\@title
  459.   \do\author \do\@xauthor \do\address \do\@xaddress
  460.   \do\email \do\@xemail \do\curraddr \do\@xcurraddr
  461.   \do\dedicatory \do\@dedicatory \do\thanks \do\thankses
  462.   \do\keywords \do\@keywords \do\subjclass \do\@subjclass
  463. }
  464. \def\@maketitle{%
  465.   \normalfont\normalsize
  466.   \let\@makefnmark\relax  \let\@thefnmark\relax
  467.   \ifx\@empty\@subjclass\else \@footnotetext{\@setsubjclass}\fi
  468.   \ifx\@empty\@keywords\else \@footnotetext{\@setkeywords}\fi
  469.   \ifx\@empty\thankses\else \@footnotetext{%
  470.     \def\par{\let\par\@par}\@setthanks}\fi
  471.   \@mkboth{\@nx\shortauthors}{\@nx\shorttitle}%
  472.   \global\topskip8pc\relax % 10pc to base of first title line
  473.   \@settitle
  474.   \ifx\@empty\authors \else \@setauthors \fi
  475.   \ifx\@empty\@dedicatory
  476.   \else
  477.     \baselineskip26\p@
  478.     \vtop{\centering{\footnotesize\itshape\@dedicatory\@@par}%
  479.       \global\dimen@i\prevdepth}\prevdepth\dimen@i
  480.   \fi
  481.   \@setabstract
  482.   \normalsize
  483.   \if@titlepage
  484.     \newpage
  485.   \else
  486.     \dimen@34\p@ \advance\dimen@-\baselineskip
  487.     \vskip\dimen@\relax
  488.   \fi
  489. } % end \@maketitle
  490. \let\serieslogo@\@empty
  491. \def\copyrightyear{0000}
  492. \def\copyrightyearmodC{00}
  493. \def\ISSN{0000-0000}
  494. \def\copyrightprice{\$1.00\;+\;\$.25 per page}
  495. \def\currentvolume{00}
  496. \def\currentyear{19xx}
  497. \newinsert\copyins
  498. \skip\copyins=1.5pc
  499. \count\copyins=1000 % magnification factor, 1000 = 100%
  500. \dimen\copyins=.5\textheight % maximum allowed per page
  501. \def\@setcopyright{%
  502.   \ifx\@empty\serieslogo@
  503.   \else
  504.     \insert\copyins{\hsize\textwidth
  505.       \parfillskip\z@ \leftskip\z@\@plus.9\textwidth
  506.       \fontsize{6}{7\p@}\normalfont\upshape
  507.       \everypar{}%
  508.       \vskip-\skip\copyins \nointerlineskip
  509.       \noindent\vrule\@width\z@\@height\skip\copyins
  510.       \copyright\copyrightyear\ American Mathematical Society\break
  511.       \ISSN/\copyrightyearmodC\ \copyrightprice\par
  512.       \kern\z@}%
  513.   \fi
  514. }
  515. \def\@combinefloats{%
  516.   \ifx \@toplist\@empty \else \@cflt \fi
  517.   \ifx \@botlist\@empty \else \@cflb \fi
  518.   \ifvoid\copyins \else \@cflci \fi
  519. }
  520. \def\@cflci{%
  521.   \if\if@twocolumn \if@firstcolumn F\else T\fi\else T\fi T%
  522.       \setbox\@outputbox\vbox{%
  523.         \unvbox\@outputbox
  524.         \vskip\skip\copyins
  525.         \hbox to\columnwidth{%
  526.           \hss\vbox to\z@{\vss\unvbox\copyins}}}%
  527.   \fi
  528. }
  529. \newcommand{\abstractname}{Abstract}
  530. \newcommand{\keywordsname}{Key words and phrases}
  531. \newcommand{\subjclassname}{\textup{1991} Mathematics Subject
  532.      Classification}
  533. \def\@tempb{amsproc}
  534. \ifx\@classname\@tempb
  535.   \newcommand{\datename}{\textit{Date}:}
  536. \else
  537.   \newcommand{\datename}{Received by the editors}
  538. \fi
  539. \def\@settitle{\begin{center}
  540.  \Large
  541.     \bfseries
  542.   \@title
  543.   \end{center}%
  544. }
  545. \def\@setauthors{%
  546.   \begingroup
  547.   \trivlist
  548.   \centering \fontsize{11}{13\p@}\selectfont\@topsep13\p@\relax
  549.   \item\relax
  550.   \andify\authors
  551.   \authors
  552.   \endtrivlist
  553.   \endgroup
  554. }
  555. \def\@setdate{\datename\ \@date\@addpunct.}
  556. \def\@setsubjclass{%
  557.   {\itshape\subjclassname.}\enspace\@subjclass\@addpunct.}
  558. \def\@setkeywords{%
  559.   {\itshape \keywordsname.}\enspace \@keywords\@addpunct.}
  560. \def\@setthanks{\def\thanks##1{\par##1\@addpunct.}\thankses}
  561. \newbox\abstractbox
  562. \newenvironment{abstract}{%
  563.   \ifx\maketitle\relax
  564.     \ClassWarning{\@classname}{Abstract should precede
  565.       \protect\maketitle\space in AMS documentclasses; reported}%
  566.   \fi
  567.   \global\setbox\abstractbox=\vtop \bgroup
  568.   \normalfont\footnotesize
  569.   \advance \hsize -6pc
  570.   \trivlist \labelsep.5em\item[\hskip\labelsep
  571.     {\scshape\abstractname}.]\ignorespaces
  572. }{%
  573.   \endtrivlist
  574.   \egroup
  575.   \ifx\@setabstract\relax \@setabstracta \fi
  576. }
  577. \def\@setabstract{\@setabstracta \global\let\@setabstract\relax}
  578. \def\@setabstracta{%
  579.   \ifvoid\abstractbox
  580.   \else
  581.     \skip@20\p@ \advance\skip@-\lastskip
  582.     \advance\skip@-\baselineskip \vskip\skip@
  583.   \moveright 3.5pc
  584.     \box\abstractbox
  585.   \fi
  586. }
  587. \def\titlepage{%
  588.   \clearpage
  589.   \thispagestyle{empty}\setcounter{page}{0}}
  590. \def\endtitlepage{\newpage}
  591. \def\labelenumi{\theenumi.}
  592. \def\theenumi{\@arabic\c@enumi}
  593. \def\labelenumii{(\theenumii)}
  594. \def\theenumii{\@alph\c@enumii}
  595. \def\p@enumii{\theenumi}
  596. \def\labelenumiii{(\theenumiii)}
  597. \def\theenumiii{\@roman\c@enumiii}
  598. \def\p@enumiii{\theenumi(\theenumii)}
  599. \def\labelenumiv{(\theenumiv)}
  600. \def\theenumiv{\@Alph\c@enumiv}
  601. \def\p@enumiv{\p@enumiii\theenumiii}
  602. \def\labelitemi{$\m@th\bullet$}
  603. \def\labelitemii{\bfseries --}% \upshape already done by \itemize
  604. \def\labelitemiii{$\m@th\ast$}
  605. \def\labelitemiv{$\m@th\cdot$}
  606. \def\verse{\let\\\@centercr
  607.   \list{}{\itemsep\z@ \itemindent -1.5em\listparindent\itemindent
  608.   \rightmargin\leftmargin \advance\leftmargin 1.5em}\item[]}
  609. \let\endverse=\endlist
  610. \def\quotation{\list{}{%
  611.     \leftmargin3pc \listparindent\normalparindent
  612.     \itemindent\z@
  613.     \rightmargin\leftmargin \parsep\z@ \@plus\p@}%
  614.   \item[]}
  615. \let\endquotation=\endlist
  616. \def\quote{\list{}{\rightmargin\leftmargin}\item[]}
  617. \let\endquote=\endlist
  618. \def\trivlist{\parsep\parskip\@nmbrlistfalse
  619.   \@trivlist \labelwidth\z@ \leftmargin\z@
  620.   \itemindent\z@
  621.   \let\@itemlabel\@empty
  622.   \def\makelabel##1{\upshape##1}}
  623.  
  624. \def\enumerate{\ifnum \@enumdepth >3 \@toodeep\else
  625.       \advance\@enumdepth \@ne
  626.       \edef\@enumctr{enum\romannumeral\the\@enumdepth}\list
  627.       {\csname label\@enumctr\endcsname}{\usecounter
  628.         {\@enumctr}\def\makelabel##1{\hss\llap{\upshape##1}}}\fi}
  629.  
  630. \def\itemize{%
  631.   \ifnum\@itemdepth>3 \@toodeep
  632.   \else \advance\@itemdepth\@ne
  633.     \edef\@itemitem{labelitem\romannumeral\the\@itemdepth}%
  634.     \list{\csname\@itemitem\endcsname}%
  635.       {\def\makelabel##1{\hss\llap{\upshape##1}}}%
  636.   \fi}
  637. \newcommand{\descriptionlabel}[1]{\hspace\labelsep \upshape\bfseries #1:}
  638. \newcommand{\description}{\list{}{%
  639.   \advance\leftmargini6\p@ \itemindent-12\p@
  640.   \labelwidth\z@ \let\makelabel\descriptionlabel}}
  641. \let\enddescription=\endlist
  642. \let\upn=\textup
  643. \AtBeginDocument{%
  644.   \settowidth\leftmargini{\labelenumi\hskip\labelsep}%
  645.   \advance\leftmargini by \normalparindent
  646.   \settowidth\leftmarginii{\labelenumii\hskip\labelsep}%
  647.   \advance\leftmarginii by 15pt
  648.   \settowidth\leftmarginiii{\labelenumiii\hskip\labelsep}%
  649.   \advance\leftmarginiii by 12pt
  650.   \settowidth\leftmarginiv{\labelenumiv\hskip\labelsep}%
  651.   \advance\leftmarginiv by 10pt
  652.   \leftmarginv=10pt
  653.   \leftmarginvi=10pt
  654.   \leftmargin=\leftmargini
  655.   \labelsep=5pt
  656.   \labelwidth=\leftmargini \advance\labelwidth-\labelsep
  657.   \@listi}
  658. \newskip\listisep
  659. \listisep\smallskipamount
  660. \def\@listI{\leftmargin\leftmargini \parsep\z@skip
  661.   \topsep\listisep \itemsep\z@skip
  662.   \listparindent\normalparindent}
  663. \let\@listi\@listI
  664. \def\@listii{\leftmargin\leftmarginii
  665.   \labelwidth\leftmarginii \advance\labelwidth-\labelsep
  666.   \topsep\z@skip \parsep\z@skip \partopsep\z@skip \itemsep\z@skip}
  667. \def\@listiii{\leftmargin\leftmarginiii
  668.   \labelwidth\leftmarginiii \advance\labelwidth-\labelsep}
  669. \def\@listiv{\leftmargin\leftmarginiv
  670.   \labelwidth\leftmarginiv \advance\labelwidth-\labelsep}
  671. \def\@listv{\leftmargin\leftmarginv
  672.   \labelwidth\leftmarginv \advance\labelwidth-\labelsep}
  673. \def\@listvi{\leftmargin\leftmarginvi
  674.   \labelwidth\leftmarginvi \advance\labelwidth-\labelsep}
  675. \def\@startsection#1#2#3#4#5#6{%
  676.  \if@noskipsec \leavevmode \fi
  677.  \par \@tempskipa #4\relax
  678.  \@afterindenttrue
  679.  \ifdim \@tempskipa <\z@ \@tempskipa -\@tempskipa \@afterindentfalse\fi
  680.  \if@nobreak \everypar{}\else
  681.      \addpenalty\@secpenalty\addvspace\@tempskipa\fi
  682.  \@ifstar{\@dblarg{\@sect{#1}{\@m}{#3}{#4}{#5}{#6}}}%
  683.          {\@dblarg{\@sect{#1}{#2}{#3}{#4}{#5}{#6}}}%
  684. }
  685. \def\@sect#1#2#3#4#5#6[#7]#8{%
  686.   \edef\@toclevel{\ifnum#2=\@m 0\else\number#2\fi}%
  687.   \ifnum #2>\c@secnumdepth \let\@secnumber\@empty
  688.   \else \@xp\let\@xp\@secnumber\csname the#1\endcsname\fi
  689.  \ifnum #2>\c@secnumdepth
  690.    \let\@svsec\@empty
  691.  \else
  692.     \refstepcounter{#1}%
  693.     \edef\@svsec{\ifnum#2<\@m
  694.        \@ifundefined{#1name}{}{%
  695.          \ignorespaces\csname #1name\endcsname\space}\fi
  696.        \@nx\textup{%
  697.          \csname the#1\endcsname.}\enspace
  698.     }%
  699.   \fi
  700.   \@tempskipa #5\relax
  701.   \ifdim \@tempskipa>\z@ % then this is not a run-in section heading
  702.     \begingroup #6\relax
  703.     \@hangfrom{\hskip #3\relax\@svsec}{\interlinepenalty\@M #8\par}%
  704.     \endgroup
  705.     \ifnum#2>\@m \else \@tocwrite{#1}{#8}\fi
  706.   \else
  707.   \def\@svsechd{#6\hskip #3\@svsec
  708.     \@ifnotempty{#8}{\ignorespaces#8\unskip
  709.        \@addpunct.}%
  710.     \ifnum#2>\@m \else \@tocwrite{#1}{#8}\fi
  711.   }%
  712.   \fi
  713.   \global\@nobreaktrue
  714.   \@xsect{#5}}
  715. \let\@ssect\relax
  716. \newcounter{part}
  717. \newcounter{section}
  718. \newcounter{subsection}[section]
  719. \newcounter{subsubsection}[subsection]
  720. \newcounter{paragraph}[subsubsection]
  721. \renewcommand\thepart          {\arabic{part}}
  722. \renewcommand\thesection       {\arabic{section}}
  723. \renewcommand\thesubsection    {\thesection.\arabic{subsection}}
  724. \renewcommand\thesubsubsection {\thesubsection .\arabic{subsubsection}}
  725. \renewcommand\theparagraph     {\thesubsubsection.\arabic{paragraph}}
  726. \setcounter{secnumdepth}{3}
  727. \def\partname{Part}
  728. \def\part{\@startsection{part}{0}%
  729.   \z@{\linespacing\@plus\linespacing}{.5\linespacing}%
  730.   {\normalfont\bfseries\raggedright}}
  731. \def\specialsection{\@startsection{section}{1}%
  732.   \z@{2\linespacing\@plus\linespacing}{.5\linespacing}%
  733.   {\large\scshape\centering}}
  734. \def\section{\@startsection{section}{1}%
  735.   \z@{.7\linespacing\@plus\linespacing}{.5\linespacing}%
  736.   {\normalfont\bfseries\centering}}
  737. \def\subsection{\@startsection{subsection}{2}%
  738.   \normalparindent{.5\linespacing\@plus.7\linespacing}{-.5em}%
  739.   {\normalfont\bfseries}}
  740. \def\subsubsection{\@startsection{subsubsection}{3}%
  741.   \normalparindent\z@{-.5em}%
  742.   {\normalfont\itshape}}
  743. \def\paragraph{\@startsection{paragraph}{4}%
  744.   \normalparindent\z@{-\fontdimen2\font}%
  745.   \normalfont}
  746. \def\subparagraph{\@startsection{subparagraph}{5}%
  747.   \z@\z@{-\fontdimen2\font}%
  748.   \normalfont}
  749. \def\appendix{\par\c@section\z@ \c@subsection\z@
  750.    \let\sectionname\appendixname
  751.    \def\thesection{\@Alph\c@section}}
  752. \def\appendixname{Appendix}
  753. \def\@Roman#1{\@xp\@slowromancap
  754.   \romannumeral#1@}%
  755. \def\@slowromancap#1{\ifx @#1% then terminate
  756.   \else
  757.     \if i#1I\else\if v#1V\else\if x#1X\else\if l#1L\else\if
  758.     c#1C\else\if m#1M\else#1\fi\fi\fi\fi\fi\fi
  759.     \@xp\@slowromancap
  760.   \fi
  761. }
  762. \def\aufm #1\endaufm{\vspace*{12pt}{\flushright #1\par}}
  763. \newcommand{\@pnumwidth}{1.6em}
  764. \newcommand{\@tocrmarg}{2.6em}
  765. \setcounter{tocdepth}{1}
  766. \def\@starttoc#1#2{\begingroup
  767.   \par\removelastskip\vskip\z@skip
  768.   \@startsection{}\@M\z@{\linespacing\@plus\linespacing}%
  769.     {.5\linespacing}{\centering\scshape}{#2}%
  770.   \ifx\contentsname#2%
  771.   \else \addcontentsline{toc}{section}{#2}\fi
  772.   \makeatletter
  773.   \@input{\jobname.#1}%
  774.   \if@filesw
  775.     \@xp\newwrite\csname tf@#1\endcsname
  776.     \immediate\@xp\openout\csname tf@#1\endcsname \jobname.#1\relax
  777.   \fi
  778.   \global\@nobreakfalse \endgroup
  779.   \addvspace{32\p@\@plus14\p@}%
  780.   \let\tableofcontents\relax
  781. }
  782. \def\contentsname{Contents}
  783. \def\listfigurename{List of Figures}
  784. \def\listtablename{List of Tables}
  785. \def\tableofcontents{\@starttoc{toc}\contentsname}
  786. \def\listoffigures{\@starttoc{lof}\listfigurename}
  787. \def\listoftables{\@starttoc{lot}\listtablename}
  788. \AtBeginDocument{%
  789.   \@for\@tempa:=-1,0,1,2,3\do{%
  790.     \@ifundefined{r@tocindent\@tempa}{%
  791.       \@xp\gdef\csname r@tocindent\@tempa\endcsname{0pt}}{}%
  792.   }%
  793. }
  794. \def\@writetocindents{%
  795.   \begingroup
  796.   \@for\@tempa:=-1,0,1,2,3\do{%
  797.     \immediate\write\@auxout{%
  798.       \string\newlabel{tocindent\@tempa}{%
  799.         \csname r@tocindent\@tempa\endcsname}}%
  800.   }%
  801.   \endgroup}
  802. \AtEndDocument{\@writetocindents}
  803.  
  804. \let\indentlabel\@empty
  805. \def\@tochangmeasure#1{\sbox\z@{#1}%
  806.   \ifdim\wd\z@>\csname r@tocindent\@toclevel\endcsname\relax
  807.     \@xp\xdef\csname r@tocindent\@toclevel\endcsname{\the\wd\z@}%
  808.   \fi
  809. }
  810. \def\@tocline#1#2#3#4#5#6#7{\relax
  811.   \ifnum #1>\c@tocdepth % then omit
  812.   \else
  813.     \par \addpenalty\@secpenalty\addvspace{#2}%
  814.     \begingroup \hyphenpenalty\@M
  815.     \@ifempty{#4}{%
  816.       \@tempdima\csname r@tocindent\number#1\endcsname\relax
  817.     }{%
  818.       \@tempdima#4\relax
  819.     }%
  820.     \parindent\z@ \leftskip#3\relax \advance\leftskip\@tempdima\relax
  821.     \rightskip\@pnumwidth plus1em \parfillskip-\@pnumwidth
  822.     #5\leavevmode\hskip-\@tempdima #6\relax
  823.     \hfil\hbox to\@pnumwidth{\@tocpagenum{#7}}\par
  824.     \nobreak
  825.     \endgroup
  826.   \fi}
  827. \def\@tocpagenum#1{\hss{\mdseries #1}}
  828. \def\@tocwrite#1{\@xp\@tocwriteb\csname toc#1\endcsname{#1}}
  829. \def\@tocwriteb#1#2#3{%
  830.   \begingroup
  831.     \def\@tocline##1##2##3##4##5##6{%
  832.       \ifnum##1>\c@tocdepth
  833.       \else \sbox\z@{##5\let\indentlabel\@tochangmeasure##6}\fi}%
  834.     \csname l@#2\endcsname{#1{\csname#2name\endcsname}{\@secnumber}{}}%
  835.   \endgroup
  836.   \addcontentsline{toc}{#2}%
  837.     {\protect#1{\csname#2name\endcsname}{\@secnumber}{#3}}}
  838. \def\l@section{\@tocline{1}{0pt}{1pc}{}{}}
  839. \newcommand{\tocsection}[3]{%
  840.   \indentlabel{\@ifnotempty{#2}{\ignorespaces#1 #2.\quad}}#3}
  841. \def\l@subsection{\@tocline{2}{0pt}{1pc}{5pc}{}}
  842. \let\tocsubsection\tocsection
  843. \def\l@subsubsection{\@tocline{3}{0pt}{1pc}{7pc}{}}
  844. \let\tocsubsubsection\tocsection
  845. \def\l@part{\@tocline{-1}{12pt plus2pt}{0pt}{}{\bfseries}}
  846. \let\tocpart\tocsection
  847. \def\l@chapter{\@tocline{0}{8pt plus1pt}{0pt}{}{}}
  848. \let\tocchapter\tocsection
  849. \let\tocappendix\tocchapter
  850. \def\l@figure{\@tocline{0}{3pt plus2pt}{0pt}{}{}}
  851. \let\l@table=\l@figure
  852. \def\refname{References}
  853. \def\bibname{Bibliography}
  854. \def\bibliographystyle#1{%
  855.    \if@filesw\immediate\write\@auxout
  856.     {\string\bibstyle{#1}}\fi
  857.         \def\@tempa{#1}%
  858.         \def\@tempb{amsplain}%
  859.         \def\@tempc{}%
  860.         \ifx\@tempa\@tempb
  861.                 \def\@biblabel##1{##1.}%
  862.                 \def\bibsetup{}%
  863.         \else
  864.                 \def\bibsetup{\labelsep6\p@}%
  865.         \ifx\@tempa\@tempc
  866.                 \def\@biblabel##1{}%
  867.                 \def\bibsetup{\labelwidth\z@ \leftmargin24\p@
  868.                 \itemindent-24\p@
  869.                           \labelsep\z@ }%
  870.         \fi
  871. \fi}
  872. \newenvironment{thebibliography}[1]{%
  873.   \@xp\section\@xp*\@xp{\refname}%
  874.   \normalfont\footnotesize\labelsep .5em\relax
  875.   \renewcommand\theenumiv{\arabic{enumiv}}\let\p@enumiv\@empty
  876.   \list{\@biblabel{\theenumiv}}{\settowidth\labelwidth{\@biblabel{#1}}%
  877.     \leftmargin\labelwidth \advance\leftmargin\labelsep
  878.     \usecounter{enumiv}}%
  879.   \sloppy \clubpenalty\@M \widowpenalty\clubpenalty
  880.   \sfcode`\.=\@m
  881. }{%
  882.   \def\@noitemerr{\@latex@warning{Empty `thebibliography' environment}}%
  883.   \endlist
  884. }
  885. \def\bysame{\leavevmode\hbox to3em{\hrulefill}\thinspace}
  886. \def\newblock{}
  887. \newif\if@restonecol
  888. \def\theindex{\@restonecoltrue\if@twocolumn\@restonecolfalse\fi
  889.   \columnseprule\z@ \columnsep 35\p@
  890.   \twocolumn[\@xp\section\@xp*\@xp{\indexname}]%
  891.   \thispagestyle{plain}%
  892.   \let\item\@idxitem
  893.   \parindent\z@  \parskip\z@\@plus.3\p@\relax
  894.   \footnotesize}
  895. \def\indexname{Index}
  896. \def\@idxitem{\par\hangindent 2em}
  897. \def\subitem{\par\hangindent 2em\hspace*{1em}}
  898. \def\subsubitem{\par\hangindent 3em\hspace*{2em}}
  899. \def\endtheindex{\if@restonecol\onecolumn\else\clearpage\fi}
  900. \def\indexspace{\par\bigskip}
  901. \def\footnoterule{\kern-.4\p@
  902.         \hrule\@width 5pc\kern11\p@\kern-\footnotesep}
  903. \def\@makefnmark{\hbox{$\m@th^{\@thefnmark}$}}
  904. \def\@makefntext{\indent\@makefnmark}
  905. \long\def\@footnotetext#1{\insert\footins{%
  906.   \normalfont\footnotesize
  907.   \interlinepenalty\interfootnotelinepenalty
  908.   \splittopskip\footnotesep \splitmaxdepth \dp\strutbox
  909.   \floatingpenalty\@MM \hsize\columnwidth
  910.   \@parboxrestore \parindent\normalparindent \sloppy
  911.   \edef\@currentlabel{\p@footnote\@thefnmark}%
  912.   \@makefntext{\rule\z@\footnotesep\ignorespaces#1\unskip\strut\par}}}
  913. \hfuzz=1pt \vfuzz=\hfuzz
  914. \def\sloppy{\tolerance9999 \emergencystretch 3em\relax}
  915. \setcounter{topnumber}{4}
  916. \setcounter{bottomnumber}{4}
  917. \setcounter{totalnumber}{4}
  918. \setcounter{dbltopnumber}{4}
  919. \renewcommand{\topfraction}{.97}
  920. \renewcommand{\bottomfraction}{.97}
  921. \renewcommand{\textfraction}{.03}
  922. \renewcommand{\floatpagefraction}{.9}
  923. \renewcommand{\dbltopfraction}{.97}
  924. \renewcommand{\dblfloatpagefraction}{.9}
  925. \setlength{\floatsep}{12pt plus 6pt minus 4pt}
  926. \setlength{\textfloatsep}{15pt plus 8pt minus 5pt}
  927. \setlength{\intextsep}{12pt plus 6pt minus 4pt}
  928. \setlength{\dblfloatsep}{12pt plus 6pt minus 4pt}
  929. \setlength{\dbltextfloatsep}{15pt plus 8pt minus 5pt}
  930. \setlength{\@fptop}{0pt}% removed ``plus 1fil''
  931. \setlength{\@fpsep}{8pt}% removed ``plus 2fil''
  932. \setlength{\@fpbot}{0pt plus 1fil}
  933. \setlength{\@dblfptop}{0pt}% removed ``plus 1fil''
  934. \setlength{\@dblfpsep}{8pt}% removed ``plus 2fil''
  935. \setlength{\@dblfpbot}{0pt plus 1fil}
  936. \newcommand{\fps@figure}{tbp}
  937. \newcommand{\fps@table}{tbp}
  938. \newcounter{figure}
  939. \def\captionheadfont@{\scshape}
  940. \def\captionfont@{\normalfont}
  941. \def\ftype@figure{1}
  942. \def\ext@figure{lof}
  943. \def\fnum@figure{\figurename\ \thefigure}
  944. \def\figurename{Figure}
  945. \def\figure{\@float{figure}}
  946. \let\endfigure=\end@float
  947. \newcounter{table}
  948. \def\ftype@table{2}
  949. \def\ext@table{lot}
  950. \def\fnum@table{\tablename\ \thetable}
  951. \def\tablename{Table}
  952. \def\table{\@float{table}}
  953. \let\endtable=\end@float
  954. \long\def\@makecaption#1#2{%
  955.   \setbox\@tempboxa\vbox{\color@setgroup
  956.     \advance\hsize-6pc\noindent
  957.     \captionfont@\captionheadfont@#1\@xp\@ifnotempty\@xp
  958.         {\@cdr#2\@nil}{.\captionfont@\upshape\enspace#2}%
  959.     \unskip\kern-6pc\par
  960.     \global\setbox\@ne\lastbox\color@endgroup}%
  961.   \ifhbox\@ne % the normal case
  962.     \setbox\@ne\hbox{\unhbox\@ne\unskip\unskip\unpenalty\unkern}%
  963.   \fi
  964.   \ifdim\wd\@tempboxa=\z@ % this means caption will fit on one line
  965.     \setbox\@ne\hbox to\columnwidth{\hss\kern-6pc\box\@ne\hss}%
  966.   \else % tempboxa contained more than one line
  967.     \setbox\@ne\vbox{\unvbox\@tempboxa\parskip\z@skip
  968.         \noindent\unhbox\@ne\advance\hsize-6pc\par}%
  969. \fi
  970.   \ifnum\@tempcnta<64 % if the float IS a figure...
  971.     \addvspace\abovecaptionskip
  972.     \moveright 3pc\box\@ne
  973.   \else % if the float IS NOT a figure...
  974.     \moveright 3pc\box\@ne
  975.     \nobreak
  976.     \vskip\belowcaptionskip
  977.   \fi
  978. \relax
  979. }
  980. \newskip\abovecaptionskip \abovecaptionskip=12pt \relax
  981. \newskip\belowcaptionskip \belowcaptionskip=12pt \relax
  982. \RequirePackage{amsthm}
  983. \def\@swapped#1#2{#2%
  984.   \@ifnotempty{#1}{\@addpunct{.}\quad#1\unskip}}
  985. \def\th@plain{%
  986.   \let\theoremindent\indent
  987.   \theoremheadfont{\scshape}% heading font small caps
  988.   \theoremnotefont{\mdseries\upshape}%
  989.   \theorempreskipamount.5\baselineskip\@plus.2\baselineskip
  990.                                     \@minus.2\baselineskip
  991.   \theorempostskipamount\theorempreskipamount
  992.   \itshape
  993. }
  994. \def\th@definition{%
  995.   \let\theoremindent\indent
  996.   \theoremheadfont{\scshape}% heading font small caps
  997.   \theoremnotefont{\mdseries\upshape}%
  998.   \theorempreskipamount.5\baselineskip\@plus.2\baselineskip
  999.                                     \@minus.2\baselineskip
  1000.   \theorempostskipamount\theorempreskipamount
  1001.   \upshape
  1002. }
  1003. \def\th@remark{%
  1004.   \let\theoremindent\indent
  1005.   \theoremheadfont{\scshape}% heading font small caps
  1006.   \theoremnotefont{\mdseries\upshape}%
  1007.   \theorempreskipamount.5\baselineskip\@plus.2\baselineskip
  1008.                                     \@minus.2\baselineskip
  1009.   \theorempostskipamount\theorempreskipamount
  1010.   \upshape
  1011. }
  1012. \renewenvironment{proof}[1][\proofname]{\par \normalfont
  1013.   \topsep6\p@\@plus6\p@ \trivlist \itemindent\normalparindent
  1014.   \item[\hskip\labelsep\scshape
  1015.     #1\@addpunct{.}]\ignorespaces
  1016. }{%
  1017.   \qed\endtrivlist
  1018. }
  1019. \if@compatibility
  1020. \let\@newpf\proof \let\proof\relax \let\endproof\relax
  1021. \newenvironment{pf}{\@newpf[\proofname]}{\qed\endtrivlist}
  1022. \newenvironment{pf*}[1]{\@newpf[#1]}{\qed\endtrivlist}
  1023. \fi
  1024. \def\nonbreakingspace{\unskip\nobreak\ \ignorespaces}
  1025. \def~{\protect\nonbreakingspace}
  1026. \def\@biblabel#1{\@ifnotempty{#1}{[#1]}}
  1027. \def\@cite#1#2{{%
  1028.  \m@th\upshape\mdseries[{\bfseries #1}{\if@tempswa, #2\fi}]}}
  1029. \@ifundefined{cite }{%
  1030.   \expandafter\let\csname cite \endcsname\cite
  1031.   \edef\cite{\@nx\protect\@xp\@nx\csname cite \endcsname}%
  1032. }{}
  1033. \def\fullwidthdisplay{\displayindent\z@ \displaywidth\columnwidth}
  1034. \edef\@tempa{\noexpand\fullwidthdisplay\the\everydisplay}
  1035. \everydisplay\expandafter{\@tempa}
  1036. \newcommand\seename{see also}%
  1037. \newcommand\see[2]{{\em \seename\/} #1}%
  1038. \newcommand\printindex{\@input{\jobname.ind}}%
  1039. \hyphenation{acad-e-my acad-e-mies af-ter-thought anom-aly anom-alies
  1040. an-ti-deriv-a-tive an-tin-o-my an-tin-o-mies apoth-e-o-ses
  1041. apoth-e-o-sis ap-pen-dix ar-che-typ-al as-sign-a-ble as-sist-ant-ship
  1042. as-ymp-tot-ic asyn-chro-nous at-trib-uted at-trib-ut-able bank-rupt
  1043. bank-rupt-cy bi-dif-fer-en-tial blue-print busier busiest
  1044. cat-a-stroph-ic cat-a-stroph-i-cally con-gress cross-hatched data-base
  1045. de-fin-i-tive de-riv-a-tive dis-trib-ute dri-ver dri-vers eco-nom-ics
  1046. econ-o-mist elit-ist equi-vari-ant ex-quis-ite ex-tra-or-di-nary
  1047. flow-chart for-mi-da-ble forth-right friv-o-lous ge-o-des-ic
  1048. ge-o-det-ic geo-met-ric griev-ance griev-ous griev-ous-ly
  1049. hexa-dec-i-mal ho-lo-no-my ho-mo-thetic ideals idio-syn-crasy
  1050. in-fin-ite-ly in-fin-i-tes-i-mal ir-rev-o-ca-ble key-stroke
  1051. lam-en-ta-ble light-weight mal-a-prop-ism man-u-script mar-gin-al
  1052. meta-bol-ic me-tab-o-lism meta-lan-guage me-trop-o-lis
  1053. met-ro-pol-i-tan mi-nut-est mol-e-cule mono-chrome mono-pole
  1054. mo-nop-oly mono-spline mo-not-o-nous mul-ti-fac-eted mul-ti-plic-able
  1055. non-euclid-ean non-iso-mor-phic non-smooth par-a-digm par-a-bol-ic
  1056. pa-rab-o-loid pa-ram-e-trize para-mount pen-ta-gon phe-nom-e-non
  1057. post-script pre-am-ble pro-ce-dur-al pro-hib-i-tive pro-hib-i-tive-ly
  1058. pseu-do-dif-fer-en-tial pseu-do-fi-nite pseu-do-nym qua-drat-ic
  1059. quad-ra-ture qua-si-smooth qua-si-sta-tion-ary qua-si-tri-an-gu-lar
  1060. quin-tes-sence quin-tes-sen-tial re-arrange-ment rec-tan-gle
  1061. ret-ri-bu-tion retro-fit retro-fit-ted right-eous right-eous-ness
  1062. ro-bot ro-bot-ics sched-ul-ing se-mes-ter semi-def-i-nite
  1063. semi-ho-mo-thet-ic set-up se-vere-ly side-step sov-er-eign spe-cious
  1064. spher-oid spher-oid-al star-tling star-tling-ly sta-tis-tics
  1065. sto-chas-tic straight-est strange-ness strat-a-gem strong-hold
  1066. sum-ma-ble symp-to-matic syn-chro-nous topo-graph-i-cal tra-vers-a-ble
  1067. tra-ver-sal tra-ver-sals treach-ery turn-around un-at-tached
  1068. un-err-ing-ly white-space wide-spread wing-spread wretch-ed
  1069. wretch-ed-ly Eng-lish Euler-ian Feb-ru-ary Gauss-ian
  1070. Hamil-ton-ian Her-mit-ian Jan-u-ary Japan-ese Kor-te-weg
  1071. Le-gendre Mar-kov-ian Noe-ther-ian No-vem-ber Rie-mann-ian Sep-tem-ber}
  1072. \def\calclayout{\advance\textheight -\headheight
  1073.   \advance\textheight -\headsep
  1074.   \oddsidemargin\paperwidth
  1075.   \advance\oddsidemargin -\textwidth
  1076.   \divide\oddsidemargin\tw@
  1077.   \ifdim\oddsidemargin<.5truein \oddsidemargin.5truein \fi
  1078.   \advance\oddsidemargin -1truein
  1079.   \evensidemargin\oddsidemargin
  1080.   \topmargin\paperheight \advance\topmargin -\textheight
  1081.   \advance\topmargin -\headheight \advance\topmargin -\headsep
  1082.   \divide\topmargin\tw@
  1083.   \ifdim\topmargin<.5truein \topmargin.5truein \fi
  1084.   \advance\topmargin -1truein\relax
  1085. }
  1086. \calclayout % initialize
  1087. \pagenumbering{arabic}
  1088. \pagestyle{headings}
  1089. \thispagestyle{plain}
  1090. \if@compatibility \else\endinput\fi
  1091. \def\tiny{\Tiny}
  1092. \def\defaultfont{\normalfont}
  1093. \def\rom{\textup}
  1094. \endinput
  1095. %% 
  1096. %% End of file `amsproc.cls'.
  1097.