%% This is file `jjshm.cls'.
%%
%% This file `jjshm.cls' is a modified version of `jsarticle.cls'
%% written by Haruhiko Okumura, according to the format of
%% "Journal of the Japanese Society for the History of Mathematics"
%% and referring to the class file "rims-bessatsu.cls" of
%% "RIMS K\^oky\^uroku Bessatsu" of Research Institute for Mathematical
%% Sciences, Kyoto University.
%\NeedsTeXFormat{pLaTeX2e}
%\ProvidesClass{jsarticle}
%  [2017/03/05 okumura, texjporg]
%  \def\jsc@clsname{jsarticle}
%%%%% log %%%%%
%pLaTeX2e <2017/05/05> (based on LaTeX2e <2017-04-15>)
%Babel <3.10> and hyphenation patterns for 84 language(s) loaded.
%(./jjshm.cls
%
%LaTeX Warning: You have requested document class `jjshm',
%               but the document class provides `jsarticle'.
%%%%%%%%%%%%%%%
%%% The next two lines were changed on October 1, 2021.
\ProvidesClass{jjshm}
%                [2021/07/26 v1.0 LaTeX document class]
                [2021/10/01 v1.1 LaTeX document class]
\def\jsc@clsname{jjshm}
%%%%%%%%
\newif\ifjsc@needsp@tch
\jsc@needsp@tchfalse
\newif\if@restonecol
\newif\if@titlepage
\newif\if@enablejfam \@enablejfamtrue
\DeclareOption{a3paper}{%
  \setlength\paperheight {420mm}%
  \setlength\paperwidth  {297mm}}
\DeclareOption{a4paper}{%
  \setlength\paperheight {297mm}%
  \setlength\paperwidth  {210mm}}
\DeclareOption{a5paper}{%
  \setlength\paperheight {210mm}%
  \setlength\paperwidth  {148mm}}
\DeclareOption{a6paper}{%
  \setlength\paperheight {148mm}%
  \setlength\paperwidth  {105mm}}
\DeclareOption{b4paper}{%
  \setlength\paperheight {364mm}%
  \setlength\paperwidth  {257mm}}
\DeclareOption{b5paper}{%
  \setlength\paperheight {257mm}%
  \setlength\paperwidth  {182mm}}
\DeclareOption{b6paper}{%
  \setlength\paperheight {182mm}%
  \setlength\paperwidth  {128mm}}
\DeclareOption{a4j}{%
  \setlength\paperheight {297mm}%
  \setlength\paperwidth  {210mm}}
\DeclareOption{a5j}{%
  \setlength\paperheight {210mm}%
  \setlength\paperwidth  {148mm}}
\DeclareOption{b4j}{%
  \setlength\paperheight {364mm}%
  \setlength\paperwidth  {257mm}}
\DeclareOption{b5j}{%
  \setlength\paperheight {257mm}%
  \setlength\paperwidth  {182mm}}
\DeclareOption{a4var}{%
  \setlength\paperheight {283mm}%
  \setlength\paperwidth  {210mm}}
\DeclareOption{b5var}{%
  \setlength\paperheight {230mm}%
  \setlength\paperwidth  {182mm}}
\DeclareOption{letterpaper}{%
  \setlength\paperheight {11in}%
  \setlength\paperwidth  {8.5in}}
\DeclareOption{legalpaper}{%
  \setlength\paperheight {14in}%
  \setlength\paperwidth  {8.5in}}
\DeclareOption{executivepaper}{%
  \setlength\paperheight {10.5in}%
  \setlength\paperwidth  {7.25in}}
\newif\if@landscape
\@landscapefalse
\DeclareOption{landscape}{\@landscapetrue}
\newif\if@slide
\@slidefalse
\newcommand{\@ptsize}{0}
\newif\ifjsc@mag\jsc@magtrue
\newif\ifjsc@mag@xreal\jsc@mag@xrealfalse
\def\jsc@magscale{1}
\DeclareOption{slide}{%
  \@slidetrue\def\jsc@magscale{3.583}
  \renewcommand{\@ptsize}{26}
  \@landscapetrue\@titlepagetrue}
\DeclareOption{8pt}{\def\jsc@magscale{0.833}\renewcommand{\@ptsize}{-2}}
\DeclareOption{9pt}{\def\jsc@magscale{0.913}\renewcommand{\@ptsize}{-1}}
\DeclareOption{10pt}{\def\jsc@magscale{1}\renewcommand{\@ptsize}{0}}
\DeclareOption{11pt}{\def\jsc@magscale{1.095}\renewcommand{\@ptsize}{1}}
\DeclareOption{12pt}{\def\jsc@magscale{1.200}\renewcommand{\@ptsize}{2}}
\DeclareOption{14pt}{\def\jsc@magscale{1.440}\renewcommand{\@ptsize}{4}}
\DeclareOption{17pt}{\def\jsc@magscale{1.728}\renewcommand{\@ptsize}{7}}
\DeclareOption{20pt}{\def\jsc@magscale{2}\renewcommand{\@ptsize}{10}}
\DeclareOption{21pt}{\def\jsc@magscale{2.074}\renewcommand{\@ptsize}{11}}
\DeclareOption{25pt}{\def\jsc@magscale{2.488}\renewcommand{\@ptsize}{15}}
\DeclareOption{30pt}{\def\jsc@magscale{2.986}\renewcommand{\@ptsize}{20}}
\DeclareOption{36pt}{\def\jsc@magscale{3.583}\renewcommand{\@ptsize}{26}}
\DeclareOption{43pt}{\def\jsc@magscale{4.300}\renewcommand{\@ptsize}{33}}
\DeclareOption{12Q}{\def\jsc@magscale{0.923}\renewcommand{\@ptsize}{1200}}
\DeclareOption{14Q}{\def\jsc@magscale{1.077}\renewcommand{\@ptsize}{1400}}
\DeclareOption{10ptj}{\def\jsc@magscale{1.085}\renewcommand{\@ptsize}{1001}}
\DeclareOption{10.5ptj}{\def\jsc@magscale{1.139}\renewcommand{\@ptsize}{1051}}
\DeclareOption{11ptj}{\def\jsc@magscale{1.194}\renewcommand{\@ptsize}{1101}}
\DeclareOption{12ptj}{\def\jsc@magscale{1.302}\renewcommand{\@ptsize}{1201}}
\DeclareOption{usemag}{\jsc@magtrue\jsc@mag@xrealfalse}
\DeclareOption{nomag}{\jsc@magfalse\jsc@mag@xrealfalse}
\DeclareOption{nomag*}{\jsc@magfalse\jsc@mag@xrealtrue}
\hour\time \divide\hour by 60\relax
\@tempcnta\hour \multiply\@tempcnta 60\relax
\minute\time \advance\minute-\@tempcnta
\DeclareOption{tombow}{%
  \tombowtrue \tombowdatetrue
  \setlength{\@tombowwidth}{.1\p@}%
  \@bannertoken{%
     \jobname\space(\number\year-\two@digits\month-\two@digits\day
     \space\two@digits\hour:\two@digits\minute)}%
  \maketombowbox}
\DeclareOption{tombo}{%
  \tombowtrue \tombowdatefalse
  \setlength{\@tombowwidth}{.1\p@}%
  \maketombowbox}
\DeclareOption{mentuke}{%
  \tombowtrue \tombowdatefalse
  \setlength{\@tombowwidth}{\z@}%
  \maketombowbox}
\DeclareOption{oneside}{\@twosidefalse \@mparswitchfalse}
\DeclareOption{twoside}{\@twosidetrue \@mparswitchtrue}
\DeclareOption{vartwoside}{\@twosidetrue \@mparswitchfalse}
\DeclareOption{onecolumn}{\@twocolumnfalse}
\DeclareOption{twocolumn}{\@twocolumntrue}
\DeclareOption{titlepage}{\@titlepagetrue}
\DeclareOption{notitlepage}{\@titlepagefalse}
\def\eqnarray{%
   \stepcounter{equation}%
   \def\@currentlabel{\p@equation\theequation}%
   \global\@eqnswtrue
   \m@th
   \global\@eqcnt\z@
   \tabskip\@centering
   \let\\\@eqncr
   $$\everycr{}\halign to\displaywidth\bgroup
       \hskip\@centering$\displaystyle\tabskip\z@skip{##}$\@eqnsel
      &\global\@eqcnt\@ne \hfil$\displaystyle{{}##{}}$\hfil
      &\global\@eqcnt\tw@ $\displaystyle{##}$\hfil\tabskip\@centering
      &\global\@eqcnt\thr@@ \hb@xt@\z@\bgroup\hss##\egroup
         \tabskip\z@skip
      \cr}
\DeclareOption{leqno}{\input{leqno.clo}}
\DeclareOption{fleqn}{\input{fleqn.clo}%
  \def\eqnarray{%
    \stepcounter{equation}%
    \def\@currentlabel{\p@equation\theequation}%
    \global\@eqnswtrue\m@th
    \global\@eqcnt\z@
    \tabskip\mathindent
    \let\\=\@eqncr
    \setlength\abovedisplayskip{\topsep}%
    \ifvmode
      \addtolength\abovedisplayskip{\partopsep}%
    \fi
    \addtolength\abovedisplayskip{\parskip}%
    \setlength\belowdisplayskip{\abovedisplayskip}%
    \setlength\belowdisplayshortskip{\abovedisplayskip}%
    \setlength\abovedisplayshortskip{\abovedisplayskip}%
    $$\everycr{}\halign to\linewidth% $$
    \bgroup
      \hskip\@centering$\displaystyle\tabskip\z@skip{##}$\@eqnsel
      &\global\@eqcnt\@ne \hfil$\displaystyle{{}##{}}$\hfil
      &\global\@eqcnt\tw@
        $\displaystyle{##}$\hfil \tabskip\@centering
      &\global\@eqcnt\thr@@ \hb@xt@\z@\bgroup\hss##\egroup
    \tabskip\z@skip\cr
    }}
\DeclareOption{disablejfam}{\@enablejfamfalse}
\DeclareOption{draft}{\setlength\overfullrule{5pt}}
\DeclareOption{final}{\setlength\overfullrule{0pt}}
\newif\ifwinjis
\winjisfalse
\newif\ifmingoth
\mingothfalse
\newif\ifjisfont
\jisfontfalse
\newif\if@jsc@uplatex
\@jsc@uplatexfalse
\newif\if@jsc@autodetect
\@jsc@autodetectfalse
\DeclareOption{mingoth}{\mingothtrue}
\DeclareOption{winjis}{\winjistrue}
\DeclareOption{jis}{\jisfonttrue}
\DeclareOption{uplatex}{\@jsc@uplatextrue\winjisfalse}
\DeclareOption{autodetect-engine}{\@jsc@autodetecttrue}
\def\jsc@JYn{\if@jsc@uplatex JY2\else JY1\fi}
\def\jsc@JTn{\if@jsc@uplatex JT2\else JT1\fi}
\def\jsc@pfx@{\if@jsc@uplatex u\else \fi}
\newif\ifpapersize
\papersizefalse
\DeclareOption{papersize}{\papersizetrue}
\newif\if@english
\@englishfalse
\DeclareOption{english}{\@englishtrue}
\newif\if@jslogo \@jslogotrue
\DeclareOption{jslogo}{\@jslogotrue}
\DeclareOption{nojslogo}{\@jslogofalse}
\ExecuteOptions{a4paper,oneside,onecolumn,notitlepage,final}
\ProcessOptions
\if@slide
  \def\maybeblue{\@ifundefined{ver@color.sty}{}{\color{blue}}}
\fi
\if@landscape
  \setlength\@tempdima  {\paperheight}
  \setlength\paperheight{\paperwidth}
  \setlength\paperwidth {\@tempdima}
\fi
\ifnum \ifx\ucs\@undefined\z@\else\ucs"3000 \fi ="3000
  \if@jsc@autodetect
    \ClassInfo\jsc@clsname{Autodetected engine: upLaTeX}
    \@jsc@uplatextrue
    \g@addto@macro\@classoptionslist{,uplatex}
  \fi
  \if@jsc@uplatex\else
    \ClassError\jsc@clsname
      {You are running upLaTeX.\MessageBreak
       Please use pLaTeX instead, or add 'uplatex' to\MessageBreak
       the class option list}
      {\@ehc}
    \@jsc@uplatextrue
  \fi
\else
  \if@jsc@uplatex
    \ClassError\jsc@clsname
      {You are running pLaTeX.\MessageBreak
       Please use upLaTeX instead, or remove 'uplatex' from\MessageBreak
       the class option list}
      {\@ehc}
    \@jsc@uplatexfalse
  \fi
  \if@jsc@autodetect
    \ClassInfo\jsc@clsname{Autodetected engine: pLaTeX}
    \@jsc@uplatexfalse
  \fi
\fi
\iftombow
  \newdimen\stockwidth \newdimen\stockheight
  \setlength{\stockwidth}{\paperwidth}
  \setlength{\stockheight}{\paperheight}
  \advance \stockwidth 2in
  \advance \stockheight 2in
\fi
\ifpapersize
  \iftombow
    \AtBeginDvi{\special{papersize=\the\stockwidth,\the\stockheight}}
  \else
    \AtBeginDvi{\special{papersize=\the\paperwidth,\the\paperheight}}
  \fi
\fi
\if@slide\def\n@baseline{13}\else\def\n@baseline{16}\fi
\newdimen\jsc@mpt
\newdimen\jsc@mmm
\def\inv@mag{1}
\ifjsc@mag
  \jsc@mpt=1\p@
  \jsc@mmm=1mm
  \ifnum\@ptsize=-2
    \mag 833
    \def\inv@mag{1.20048}
    \def\n@baseline{15}%
  \fi
  \ifnum\@ptsize=-1
    \mag 913 % formerly 900
    \def\inv@mag{1.09529}
    \def\n@baseline{15}%
  \fi
  \ifnum\@ptsize=1
    \mag 1095 % formerly 1100
    \def\inv@mag{0.913242}
  \fi
  \ifnum\@ptsize=2
    \mag 1200
    \def\inv@mag{0.833333}
  \fi
  \ifnum\@ptsize=4
    \mag 1440
    \def\inv@mag{0.694444}
  \fi
  \ifnum\@ptsize=7
    \mag 1728
    \def\inv@mag{0.578704}
  \fi
  \ifnum\@ptsize=10
    \mag 2000
    \def\inv@mag{0.5}
  \fi
  \ifnum\@ptsize=11
    \mag 2074
    \def\inv@mag{0.48216}
  \fi
  \ifnum\@ptsize=15
    \mag 2488
    \def\inv@mag{0.401929}
  \fi
  \ifnum\@ptsize=20
    \mag 2986
    \def\inv@mag{0.334896}
  \fi
  \ifnum\@ptsize=26
    \mag 3583
    \def\inv@mag{0.279096}
  \fi
  \ifnum\@ptsize=33
    \mag 4300
    \def\inv@mag{0.232558}
  \fi
  \ifnum\@ptsize=1200
    \mag 923
    \def\inv@mag{1.0834236}
  \fi
  \ifnum\@ptsize=1400
    \mag 1077
    \def\inv@mag{0.928505}
  \fi
  \ifnum\@ptsize=1001
    \mag 1085
    \def\inv@mag{0.921659}
  \fi
  \ifnum\@ptsize=1051
    \mag 1139
    \def\inv@mag{0.877963}
  \fi
  \ifnum\@ptsize=1101
    \mag 1194
    \def\inv@mag{0.837521}
  \fi
  \ifnum\@ptsize=1201
    \mag 1302
    \def\inv@mag{0.768049}
  \fi
\else
  \jsc@mpt=\jsc@magscale\p@
  \jsc@mmm=\jsc@magscale mm
  \def\inv@mag{1}
  \ifnum\@ptsize=-2
    \def\n@baseline{15}%
  \fi
  \ifnum\@ptsize=-1
    \def\n@baseline{15}%
  \fi
\fi
\ifjsc@mag@xreal
  \RequirePackage{type1cm}
  \mathchardef\jsc@csta=259
  \def\jsc@invscale#1#2{%
    \begingroup \@tempdima=#1\relax \@tempdimb#2\p@\relax
      \@tempcnta\@tempdima \multiply\@tempcnta\@cclvi
      \divide\@tempcnta\@tempdimb \multiply\@tempcnta\@cclvi
      \@tempcntb\p@ \divide\@tempcntb\@tempdimb
      \advance\@tempcnta-\@tempcntb \advance\@tempcnta-\tw@
      \@tempdimb\@tempcnta\@ne
      \advance\@tempcnta\@tempcntb \advance\@tempcnta\@tempcntb
      \advance\@tempcnta\jsc@csta \@tempdimc\@tempcnta\@ne
      \@whiledim\@tempdimb<\@tempdimc\do{%
        \@tempcntb\@tempdimb \advance\@tempcntb\@tempdimc
        \advance\@tempcntb\@ne \divide\@tempcntb\tw@
        \ifdim #2\@tempcntb>\@tempdima
          \advance\@tempcntb\m@ne \@tempdimc=\@tempcntb\@ne
        \else \@tempdimb=\@tempcntb\@ne \fi}%
      \xdef\jsc@gtmpa{\the\@tempdimb}%
    \endgroup #1=\jsc@gtmpa\relax}
  \expandafter\let\csname OT1/cmr/m/n/10\endcsname\relax
  \expandafter\let\csname OMX/cmex/m/n/10\endcsname\relax
  \let\jsc@get@external@font\get@external@font
  \def\get@external@font{%
    \jsc@preadjust@extract@font
    \jsc@get@external@font}
  \def\jsc@fstrunc#1{%
    \edef\jsc@tmpa{\strip@pt#1}%
    \expandafter\jsc@fstrunc@a\jsc@tmpa.****\@nil}
  \def\jsc@fstrunc@a#1.#2#3#4#5#6\@nil{%
    \if#5*\else
      \edef\jsc@tmpa{#1%
      \ifnum#2#3>\z@ .#2\ifnum#3>\z@ #3\fi\fi}%
    \fi}
  \def\jsc@preadjust@extract@font{%
    \let\jsc@req@size\f@size
    \dimen@\f@size\p@ \jsc@invscale\dimen@\jsc@magscale
    \advance\dimen@.005pt\relax \jsc@fstrunc\dimen@
    \let\jsc@ref@size\jsc@tmpa
    \let\f@size\jsc@ref@size}
  \def\execute@size@function#1{%
    \let\jsc@cref@size\f@size
    \let\f@size\jsc@req@size
    \csname s@fct@#1\endcsname}
  \let\jsc@DeclareErrorFont\DeclareErrorFont
  \def\DeclareErrorFont#1#2#3#4#5{%
    \@tempdimc#5\p@ \@tempdimc\jsc@magscale\@tempdimc
    \edef\jsc@tmpa{{#1}{#2}{#3}{#4}{\strip@pt\@tempdimc}}
    \expandafter\jsc@DeclareErrorFont\jsc@tmpa}
  \def\gen@sfcnt{%
    \edef\mandatory@arg{\mandatory@arg\jsc@cref@size}%
    \empty@sfcnt}
  \def\genb@sfcnt{%
    \edef\mandatory@arg{%
      \mandatory@arg\expandafter\genb@x\jsc@cref@size..\@@}%
    \empty@sfcnt}
  \DeclareErrorFont{OT1}{cmr}{m}{n}{10}
\fi
\def\jsc@smallskip{\vspace\jsc@smallskipamount}
\newskip\jsc@smallskipamount
\jsc@smallskipamount=3\jsc@mpt plus 1\jsc@mpt minus 1\jsc@mpt
\setlength\paperwidth{\inv@mag\paperwidth}%
\setlength\paperheight{\inv@mag\paperheight}%
\iftombow
  \setlength\stockwidth{\inv@mag\stockwidth}%
  \setlength\stockheight{\inv@mag\stockheight}%
\fi
\ifwinjis
  \DeclareFontShape{JY1}{mc}{m}{n}{<-> s * [0.961] winjis}{}
  \DeclareFontShape{JY1}{gt}{m}{n}{<-> s * [0.961] winjisg}{}
  \DeclareFontShape{JT1}{mc}{m}{n}{<-> s * [0.961] winjis-v}{}
  \DeclareFontShape{JT1}{gt}{m}{n}{<-> s * [0.961] winjisg-v}{}
\else
  \ifmingoth
    \DeclareFontShape{\jsc@JYn}{mc}{m}{n}{<-> s * [0.961] \jsc@pfx@ min10}{}
    \DeclareFontShape{\jsc@JYn}{gt}{m}{n}{<-> s * [0.961] \jsc@pfx@ goth10}{}
    \DeclareFontShape{\jsc@JTn}{mc}{m}{n}{<-> s * [0.961] \jsc@pfx@ tmin10}{}
    \DeclareFontShape{\jsc@JTn}{gt}{m}{n}{<-> s * [0.961] \jsc@pfx@ tgoth10}{}
  \else
    \ifjisfont
      \DeclareFontShape{\jsc@JYn}{mc}{m}{n}{<-> s * [0.961] \jsc@pfx@ jis}{}
      \DeclareFontShape{\jsc@JYn}{gt}{m}{n}{<-> s * [0.961] \jsc@pfx@ jisg}{}
      \DeclareFontShape{\jsc@JTn}{mc}{m}{n}{<-> s * [0.961] \jsc@pfx@ tmin10}{}
      \DeclareFontShape{\jsc@JTn}{gt}{m}{n}{<-> s * [0.961] \jsc@pfx@ tgoth10}{}
    \else
      \if@jsc@uplatex
        \DeclareFontShape{JY2}{mc}{m}{n}{<-> s * [0.924690] upjisr-h}{}
        \DeclareFontShape{JY2}{gt}{m}{n}{<-> s * [0.924690] upjisg-h}{}
        \DeclareFontShape{JT2}{mc}{m}{n}{<-> s * [0.924690] upjisr-v}{}
        \DeclareFontShape{JT2}{gt}{m}{n}{<-> s * [0.924690] upjisg-v}{}
      \else
        \DeclareFontShape{\jsc@JYn}{mc}{m}{n}{<-> s * [0.961] \jsc@pfx@ jis}{}
        \DeclareFontShape{\jsc@JYn}{gt}{m}{n}{<-> s * [0.961] \jsc@pfx@ jisg}{}
        \DeclareFontShape{\jsc@JTn}{mc}{m}{n}{<-> s * [0.961] \jsc@pfx@ tmin10}{}
        \DeclareFontShape{\jsc@JTn}{gt}{m}{n}{<-> s * [0.961] \jsc@pfx@ tgoth10}{}
      \fi
    \fi
  \fi
\fi
\DeclareFontShape{\jsc@JYn}{mc}{m}{it}{<->ssub*mc/m/n}{}
\DeclareFontShape{\jsc@JYn}{mc}{m}{sl}{<->ssub*mc/m/n}{}
\DeclareFontShape{\jsc@JYn}{mc}{m}{sc}{<->ssub*mc/m/n}{}
\DeclareFontShape{\jsc@JYn}{gt}{m}{it}{<->ssub*gt/m/n}{}
\DeclareFontShape{\jsc@JYn}{gt}{m}{sl}{<->ssub*gt/m/n}{}
\DeclareFontShape{\jsc@JYn}{mc}{bx}{it}{<->ssub*gt/m/n}{}
\DeclareFontShape{\jsc@JYn}{mc}{bx}{sl}{<->ssub*gt/m/n}{}
\DeclareFontShape{\jsc@JTn}{mc}{m}{it}{<->ssub*mc/m/n}{}
\DeclareFontShape{\jsc@JTn}{mc}{m}{sl}{<->ssub*mc/m/n}{}
\DeclareFontShape{\jsc@JTn}{mc}{m}{sc}{<->ssub*mc/m/n}{}
\DeclareFontShape{\jsc@JTn}{gt}{m}{it}{<->ssub*gt/m/n}{}
\DeclareFontShape{\jsc@JTn}{gt}{m}{sl}{<->ssub*gt/m/n}{}
\DeclareFontShape{\jsc@JTn}{mc}{bx}{it}{<->ssub*gt/m/n}{}
\DeclareFontShape{\jsc@JTn}{mc}{bx}{sl}{<->ssub*gt/m/n}{}
\DeclareRobustCommand\rmfamily
        {\not@math@alphabet\rmfamily\mathrm
         \romanfamily\rmdefault\kanjifamily\mcdefault\selectfont}
\DeclareRobustCommand\sffamily
        {\not@math@alphabet\sffamily\mathsf
         \romanfamily\sfdefault\kanjifamily\gtdefault\selectfont}
\DeclareRobustCommand\ttfamily
        {\not@math@alphabet\ttfamily\mathtt
         \romanfamily\ttdefault\kanjifamily\gtdefault\selectfont}
\DeclareRobustCommand\textmc[1]{%
    \relax\ifmmode \expandafter\nfss@text \fi{\mcfamily #1}}
\DeclareRobustCommand\textgt[1]{%
    \relax\ifmmode \expandafter\nfss@text \fi{\gtfamily #1}}
\def\reDeclareMathAlphabet#1#2#3{%
  \edef\@tempa{\expandafter\@gobble\string#2}%
  \edef\@tempb{\expandafter\@gobble\string#3}%
  \edef\@tempc{\string @\expandafter\@gobbletwo\string#2}%
  \ifx\@tempc\@tempa%
    \edef\@tempa{\expandafter\@gobbletwo\string#2}%
    \edef\@tempb{\expandafter\@gobbletwo\string#3}%
  \fi
  \begingroup
    \let\protect\noexpand
    \def\@tempaa{\relax}%
    \expandafter\ifx\csname RDMAorg@\@tempa\endcsname\relax
      \edef\@tempaa{\expandafter\def\expandafter\noexpand%
        \csname RDMAorg@\@tempa\endcsname{%
          \expandafter\noexpand\csname\@tempa\endcsname}}%
    \fi
    \def\@tempbb{\relax}%
    \expandafter\ifx\csname RDMAorg@\@tempb\endcsname\relax
      \edef\@tempbb{\expandafter\def\expandafter\noexpand%
        \csname RDMAorg@\@tempb\endcsname{%
          \expandafter\noexpand\csname\@tempb\endcsname}}%
    \fi
    \edef\@tempc{\@tempaa\@tempbb}%
  \expandafter\endgroup\@tempc%
  \edef#1{\noexpand\protect\expandafter\noexpand\csname%
    \expandafter\@gobble\string#1\space\space\endcsname}%
  \expandafter\edef\csname\expandafter\@gobble\string#1\space\space\endcsname%
    {\noexpand\DualLang@mathalph@bet%
      {\expandafter\noexpand\csname RDMAorg@\@tempa\endcsname}%
      {\expandafter\noexpand\csname RDMAorg@\@tempb\endcsname}%
  }%
}
\@onlypreamble\reDeclareMathAlphabet
\def\DualLang@mathalph@bet#1#2{%
  \relax\ifmmode
    \ifx\math@bgroup\bgroup%     2e normal style     (\mathrm{...})
      \bgroup\let\DualLang@Mfontsw\DLMfontsw@standard
    \else
      \ifx\math@bgroup\relax%    2e two letter style (\rm->\mathrm)
        \let\DualLang@Mfontsw\DLMfontsw@oldstyle
      \else
        \ifx\math@bgroup\@empty% 2.09 oldlfont style ({\mathrm ...})
          \let\DualLang@Mfontsw\DLMfontsw@oldlfont
        \else%                   panic! assume 2e normal style
          \bgroup\let\DualLang@Mfontsw\DLMfontsw@standard
        \fi
      \fi
    \fi
  \else
    \let\DualLang@Mfontsw\@firstoftwo
  \fi
  \DualLang@Mfontsw{#1}{#2}%
}
\def\DLMfontsw@standard#1#2#3{#1{#2{#3}}\egroup}
\def\DLMfontsw@oldstyle#1#2{#1\relax\@fontswitch\relax{#2}}
\def\DLMfontsw@oldlfont#1#2{#1\relax#2\relax}
\if@enablejfam
  \DeclareSymbolFont{mincho}{\jsc@JYn}{mc}{m}{n}
  \DeclareSymbolFontAlphabet{\mathmc}{mincho}
  \SetSymbolFont{mincho}{bold}{\jsc@JYn}{gt}{m}{n}
  \jfam\symmincho
  \DeclareMathAlphabet{\mathgt}{\jsc@JYn}{gt}{m}{n}
  \AtBeginDocument{%
    \reDeclareMathAlphabet{\mathrm}{\@mathrm}{\@mathmc}
    \reDeclareMathAlphabet{\mathbf}{\@mathbf}{\@mathgt}}
\fi
\prebreakpenalty\jis"2147=10000      % 5000   $B!G(B
\postbreakpenalty\jis"2148=10000     % 5000   $B!H(B
\prebreakpenalty\jis"2149=10000      % 5000   $B!I(B
\inhibitxspcode`$B!*(B=1
\inhibitxspcode`$B")(B=2
\xspcode`+=3
\xspcode`\%=3
\xspcode`^^80=3
\xspcode`^^81=3
\xspcode`^^82=3
\xspcode`^^83=3
\xspcode`^^84=3
\xspcode`^^85=3
\xspcode`^^86=3
\xspcode`^^87=3
\xspcode`^^88=3
\xspcode`^^89=3
\xspcode`^^8a=3
\xspcode`^^8b=3
\xspcode`^^8c=3
\xspcode`^^8d=3
\xspcode`^^8e=3
\xspcode`^^8f=3
\xspcode`^^90=3
\xspcode`^^91=3
\xspcode`^^92=3
\xspcode`^^93=3
\xspcode`^^94=3
\xspcode`^^95=3
\xspcode`^^96=3
\xspcode`^^97=3
\xspcode`^^98=3
\xspcode`^^99=3
\xspcode`^^9a=3
\xspcode`^^9b=3
\xspcode`^^9c=3
\xspcode`^^9d=3
\xspcode`^^9e=3
\xspcode`^^9f=3
\xspcode`^^a0=3
\xspcode`^^a1=3
\xspcode`^^a2=3
\xspcode`^^a3=3
\xspcode`^^a4=3
\xspcode`^^a5=3
\xspcode`^^a6=3
\xspcode`^^a7=3
\xspcode`^^a8=3
\xspcode`^^a9=3
\xspcode`^^aa=3
\xspcode`^^ab=3
\xspcode`^^ac=3
\xspcode`^^ad=3
\xspcode`^^ae=3
\xspcode`^^af=3
\xspcode`^^b0=3
\xspcode`^^b1=3
\xspcode`^^b2=3
\xspcode`^^b3=3
\xspcode`^^b4=3
\xspcode`^^b5=3
\xspcode`^^b6=3
\xspcode`^^b7=3
\xspcode`^^b8=3
\xspcode`^^b9=3
\xspcode`^^ba=3
\xspcode`^^bb=3
\xspcode`^^bc=3
\xspcode`^^bd=3
\xspcode`^^be=3
\xspcode`^^bf=3
\xspcode`^^c0=3
\xspcode`^^c1=3
\xspcode`^^c2=3
\xspcode`^^c3=3
\xspcode`^^c4=3
\xspcode`^^c5=3
\xspcode`^^c6=3
\xspcode`^^c7=3
\xspcode`^^c8=3
\xspcode`^^c9=3
\xspcode`^^ca=3
\xspcode`^^cb=3
\xspcode`^^cc=3
\xspcode`^^cd=3
\xspcode`^^ce=3
\xspcode`^^cf=3
\xspcode`^^d0=3
\xspcode`^^d1=3
\xspcode`^^d2=3
\xspcode`^^d3=3
\xspcode`^^d4=3
\xspcode`^^d5=3
\xspcode`^^d6=3
\xspcode`^^d7=3
\xspcode`^^d8=3
\xspcode`^^d9=3
\xspcode`^^da=3
\xspcode`^^db=3
\xspcode`^^dc=3
\xspcode`^^dd=3
\xspcode`^^de=3
\xspcode`^^df=3
\xspcode`^^e0=3
\xspcode`^^e1=3
\xspcode`^^e2=3
\xspcode`^^e3=3
\xspcode`^^e4=3
\xspcode`^^e5=3
\xspcode`^^e6=3
\xspcode`^^e7=3
\xspcode`^^e8=3
\xspcode`^^e9=3
\xspcode`^^ea=3
\xspcode`^^eb=3
\xspcode`^^ec=3
\xspcode`^^ed=3
\xspcode`^^ee=3
\xspcode`^^ef=3
\xspcode`^^f0=3
\xspcode`^^f1=3
\xspcode`^^f2=3
\xspcode`^^f3=3
\xspcode`^^f4=3
\xspcode`^^f5=3
\xspcode`^^f6=3
\xspcode`^^f7=3
\xspcode`^^f8=3
\xspcode`^^f9=3
\xspcode`^^fa=3
\xspcode`^^fb=3
\xspcode`^^fc=3
\xspcode`^^fd=3
\xspcode`^^fe=3
\xspcode`^^ff=3
\def\@{\spacefactor3000{}}
\def\@setfontsize#1#2#3{%
  \ifx\protect\@typeset@protect
    \let\@currsize#1%
  \fi
  \fontsize{#2}{#3}\selectfont
  \ifdim\parindent>\z@
    \if@english
      \parindent=1em
    \else
      \parindent=1zw
    \fi
  \fi
  \kanjiskip=0zw plus .1zw minus .01zw
  \ifdim\xkanjiskip>\z@
    \if@slide \xkanjiskip=0.1em \else
      \xkanjiskip=0.25em plus 0.15em minus 0.06em
    \fi
  \fi}
\def\jsc@setfontsize#1#2#3{%
  \@setfontsize#1{#2\jsc@mpt}{#3\jsc@mpt}}
\emergencystretch 3zw
\newif\ifnarrowbaselines
\if@english
  \narrowbaselinestrue
\fi
\def\narrowbaselines{%
  \narrowbaselinestrue
  \skip0=\abovedisplayskip
  \skip2=\abovedisplayshortskip
  \skip4=\belowdisplayskip
  \skip6=\belowdisplayshortskip
  \@currsize\selectfont
  \abovedisplayskip=\skip0
  \abovedisplayshortskip=\skip2
  \belowdisplayskip=\skip4
  \belowdisplayshortskip=\skip6\relax}
\def\widebaselines{\narrowbaselinesfalse\@currsize\selectfont}
\renewcommand{\normalsize}{%
  \ifnarrowbaselines
    \jsc@setfontsize\normalsize\@xpt\@xiipt
  \else
    \jsc@setfontsize\normalsize\@xpt{\n@baseline}%
  \fi
  \abovedisplayskip 11\jsc@mpt \@plus3\jsc@mpt \@minus4\jsc@mpt
  \abovedisplayshortskip \z@ \@plus3\jsc@mpt
  \belowdisplayskip 9\jsc@mpt \@plus3\jsc@mpt \@minus4\jsc@mpt
  \belowdisplayshortskip \belowdisplayskip
  \let\@listi\@listI}
\normalsize
\setbox0\hbox{\char\euc"A1A1}%
\setlength\Cht{\ht0}
\setlength\Cdp{\dp0}
\setlength\Cwd{\wd0}
\setlength\Cvs{\baselineskip}
\setlength\Chs{\wd0}
\newcommand{\small}{%
  \ifnarrowbaselines
    \jsc@setfontsize\small\@ixpt{11}%
  \else
    \jsc@setfontsize\small\@ixpt{13}%
  \fi
  \abovedisplayskip 9\jsc@mpt \@plus3\jsc@mpt \@minus4\jsc@mpt
  \abovedisplayshortskip  \z@ \@plus3\jsc@mpt
  \belowdisplayskip \abovedisplayskip
  \belowdisplayshortskip \belowdisplayskip
  \def\@listi{\leftmargin\leftmargini
              \topsep \z@
              \parsep \z@
              \itemsep \parsep}}
\newcommand{\footnotesize}{%
  \ifnarrowbaselines
    \jsc@setfontsize\footnotesize\@viiipt{9.5}%
  \else
    \jsc@setfontsize\footnotesize\@viiipt{11}%
  \fi
  \abovedisplayskip 6\jsc@mpt \@plus2\jsc@mpt \@minus3\jsc@mpt
  \abovedisplayshortskip  \z@ \@plus2\jsc@mpt
  \belowdisplayskip \abovedisplayskip
  \belowdisplayshortskip \belowdisplayskip
  \def\@listi{\leftmargin\leftmargini
              \topsep \z@
              \parsep \z@
              \itemsep \parsep}}
\newcommand{\scriptsize}{\jsc@setfontsize\scriptsize\@viipt\@viiipt}
\newcommand{\tiny}{\jsc@setfontsize\tiny\@vpt\@vipt}
\if@twocolumn
  \newcommand{\large}{\jsc@setfontsize\large\@xiipt{\n@baseline}}
\else
  \newcommand{\large}{\jsc@setfontsize\large\@xiipt{17}}
\fi
\newcommand{\Large}{\jsc@setfontsize\Large\@xivpt{21}}
\newcommand{\LARGE}{\jsc@setfontsize\LARGE\@xviipt{25}}
\newcommand{\huge}{\jsc@setfontsize\huge\@xxpt{28}}
\newcommand{\Huge}{\jsc@setfontsize\Huge\@xxvpt{33}}
\newcommand{\HUGE}{\jsc@setfontsize\HUGE{30}{40}}
\everydisplay=\expandafter{\the\everydisplay \narrowbaselines}
\newcommand{\headfont}{\gtfamily\sffamily}
\setlength\columnsep{2zw}
\setlength\columnseprule{0\jsc@mpt}
\setlength\lineskip{1\jsc@mpt}
\setlength\normallineskip{1\jsc@mpt}
\setlength\lineskiplimit{1\jsc@mpt}
\setlength\normallineskiplimit{1\jsc@mpt}
\renewcommand{\baselinestretch}{}
\setlength\parskip{0\jsc@mpt}
\if@slide
  \setlength\parindent{0zw}
\else
  \setlength\parindent{1zw}
\fi
\@lowpenalty   51
\@medpenalty  151
\@highpenalty 301
\setlength\topskip{1.38zw}%% from 10\jsc@mpt (2016-08-17)
\if@slide
  \setlength\headheight{0\jsc@mpt}
\else
  \setlength\headheight{20\jsc@mpt}
\fi
\if@slide
  \setlength\footskip{0pt}
\else
  \setlength\footskip{0.03367\paperheight}
  \ifdim\footskip<\baselineskip
    \setlength\footskip{\baselineskip}
  \fi
\fi
\if@slide
  \setlength\headsep{0\jsc@mpt}
  \addtolength\headsep{-\topskip}
  \addtolength\headsep{10\jsc@mpt}
\else
  \setlength\headsep{\footskip}
  \addtolength\headsep{-\topskip}
\fi
\setlength\maxdepth{.5\topskip}
\newdimen\fullwidth
\if@slide
  \setlength\fullwidth{0.9\paperwidth}
\else
  \setlength\fullwidth{0.76\paperwidth}
\fi
\if@twocolumn \@tempdima=2zw \else \@tempdima=1zw \fi
\divide\fullwidth\@tempdima \multiply\fullwidth\@tempdima
\setlength\textwidth{\fullwidth}
\if@slide
  \setlength{\textheight}{0.95\paperheight}
\else
  \setlength{\textheight}{0.83\paperheight}
\fi
\addtolength{\textheight}{-10\jsc@mpt}
\addtolength{\textheight}{-\headsep}
\addtolength{\textheight}{-\footskip}
\addtolength{\textheight}{-\topskip}
\divide\textheight\baselineskip
\multiply\textheight\baselineskip
\addtolength{\textheight}{\topskip}
\addtolength{\textheight}{0.1\jsc@mpt}
\def\flushbottom{%
  \def\@textbottom{\vskip \z@ \@plus.1\jsc@mpt}%
  \let\@texttop\relax}
\setlength\marginparsep{\columnsep}
\setlength\marginparpush{\baselineskip}
\setlength{\oddsidemargin}{\paperwidth}
\addtolength{\oddsidemargin}{-\fullwidth}
\setlength{\oddsidemargin}{.5\oddsidemargin}
\iftombow
  \addtolength{\oddsidemargin}{-1in}
\else
  \addtolength{\oddsidemargin}{-\inv@mag in}
\fi
\setlength{\evensidemargin}{\oddsidemargin}
\if@mparswitch
  \addtolength{\evensidemargin}{\fullwidth}
  \addtolength{\evensidemargin}{-\textwidth}
\fi
\setlength\marginparwidth{\paperwidth}
\addtolength\marginparwidth{-\oddsidemargin}
\addtolength\marginparwidth{-\inv@mag in}
\addtolength\marginparwidth{-\textwidth}
\addtolength\marginparwidth{-10\jsc@mmm}
\addtolength\marginparwidth{-\marginparsep}
\@tempdima=1zw
\divide\marginparwidth\@tempdima
\multiply\marginparwidth\@tempdima
\setlength\topmargin{\paperheight}
\addtolength\topmargin{-\textheight}
\if@slide
  \addtolength\topmargin{-\headheight}
\else
  \addtolength\topmargin{-10\jsc@mpt}
\fi
\addtolength\topmargin{-\headsep}
\addtolength\topmargin{-\footskip}
\setlength\topmargin{0.5\topmargin}
\iftombow
  \addtolength\topmargin{-1in}
\else
  \addtolength\topmargin{-\inv@mag in}
\fi
{\footnotesize\global\setlength\footnotesep{\baselineskip}}
\setlength\footnotesep{0.7\footnotesep}
\setlength{\skip\footins}{16\jsc@mpt \@plus 5\jsc@mpt \@minus 2\jsc@mpt}
\setcounter{topnumber}{9}
\renewcommand{\topfraction}{.85}
\setcounter{bottomnumber}{9}
\renewcommand{\bottomfraction}{.8}
\setcounter{totalnumber}{20}
\renewcommand{\textfraction}{.1}
\renewcommand{\floatpagefraction}{.8}
\setcounter{dbltopnumber}{9}
\renewcommand{\dbltopfraction}{.8}
\renewcommand{\dblfloatpagefraction}{.8}
\setlength\floatsep    {12\jsc@mpt \@plus 2\jsc@mpt \@minus 2\jsc@mpt}
\setlength\textfloatsep{20\jsc@mpt \@plus 2\jsc@mpt \@minus 4\jsc@mpt}
\setlength\intextsep   {12\jsc@mpt \@plus 2\jsc@mpt \@minus 2\jsc@mpt}
\setlength\dblfloatsep    {12\jsc@mpt \@plus 2\jsc@mpt \@minus 2\jsc@mpt}
\setlength\dbltextfloatsep{20\jsc@mpt \@plus 2\jsc@mpt \@minus 4\jsc@mpt}
\setlength\@fptop{0\jsc@mpt \@plus 1fil}
\setlength\@fpsep{8\jsc@mpt \@plus 2fil}
\setlength\@fpbot{0\jsc@mpt \@plus 1fil}
\setlength\@dblfptop{0\jsc@mpt \@plus 1fil}
\setlength\@dblfpsep{8\jsc@mpt \@plus 2fil}
\setlength\@dblfpbot{0\jsc@mpt \@plus 1fil}
\def\pltx@cleartorightpage{\clearpage\if@twoside
  \ifodd\c@page
    \iftdir
      \hbox{}\thispagestyle{empty}\newpage
      \if@twocolumn\hbox{}\newpage\fi
    \fi
  \else
    \ifydir
      \hbox{}\thispagestyle{empty}\newpage
      \if@twocolumn\hbox{}\newpage\fi
    \fi
  \fi\fi}
\def\pltx@cleartoleftpage{\clearpage\if@twoside
  \ifodd\c@page
    \ifydir
      \hbox{}\thispagestyle{empty}\newpage
      \if@twocolumn\hbox{}\newpage\fi
    \fi
  \else
    \iftdir
      \hbox{}\thispagestyle{empty}\newpage
      \if@twocolumn\hbox{}\newpage\fi
    \fi
  \fi\fi}
\def\pltx@cleartooddpage{\clearpage\if@twoside
  \ifodd\c@page\else
    \hbox{}\thispagestyle{empty}\newpage
    \if@twocolumn\hbox{}\newpage\fi
  \fi\fi}
\def\pltx@cleartoevenpage{\clearpage\if@twoside
  \ifodd\c@page
    \hbox{}\thispagestyle{empty}\newpage
    \if@twocolumn\hbox{}\newpage\fi
    \fi\fi}
%%%%%%%%%%%% for $B?t3X;K8&5f(B
\def\Submit#1{%
  \def\@Submit{#1}
}
\Submit{\null}
\def\AuthorHead#1{%
  \def\@AuthorHead{#1}
}
\AuthorHead{\null}
\def\TitleHead#1{%
  \def\@TitleHead{#1}
}
\TitleHead{\null}
\def\JournalName#1{%
  \def\@JournalName{#1}
}
%\JournalName{\null}
\JournalName{$B?t3X;K8&5f(B}
\def\VolumeNo#1{%
  \def\@VolumeNo{#1}
}
\VolumeNo{\null}
\def\YearNo#1{%
  \def\@YearNo{#1}
}
\def\IssueNo#1{%
  \def\@IssueNo{#1}
}
\IssueNo{\null}
\def\YearNo#1{%
  \def\@YearNo{#1}
}
\YearNo{\null}
\def\PagesNo#1{%
  \def\@PagesNo{#1}
}
\PagesNo{\null}

\def\HeaderText{\vbox{\small%\footnotesize%
    \hbox to\textwidth{\@JournalName\\III$B4|(B\@VolumeNo $B4,(B\@IssueNo $B9f(B(\@YearNo),\ \@PagesNo\hfil}}}%

\def\FooterText{\vbox{\small%\footnotesize%
    \hbox to\textwidth{\hfill $\copyright$ \@YearNo\ $BF|K\?t3X;K3X2q(B}}}%

\def\ps@plainfoot{%
  \def\@oddfoot{\FooterText}%
  \def\@evenfoot{\FooterText}%
}
\def\ps@plainhead{%
  \def\@evenhead{\HeaderText}
  \def\@oddhead{\HeaderText}
}
\def\ps@headings{%
  \def\@oddfoot{\FooterText}%
  \def\@evenfoot{\FooterText}%
  \def\@oddhead{\hbox to \fullwidth{\@JournalName\ III$B4|(B\@VolumeNo $B4,(B\@IssueNo $B9f(B(\@YearNo),\ \@PagesNo\hfil}}
  \def\@evenhead{\hbox to \fullwidth{\@JournalName\ III$B4|(B\@VolumeNo $B4,(B\@IssueNo $B9f(B(\@YearNo),\ \@PagesNo\hfil}}
}
\def\ps@myheadings{%
  \def\@oddfoot{}%
  \def\@evenfoot{}%
  \let\@mkboth\@gobble
    \def\@oddhead{\hbox to \fullwidth{\hfil{\@TitleHead}\hfil\thepage}}
    \def\@evenhead{\hbox to \fullwidth{\thepage\hfil{\@AuthorHead}\hfil}}
}
%%%%%%%%%%%
\def\plainifnotempty{%
  \ifx \@oddhead \@empty
    \ifx \@oddfoot \@empty
    \else
      \thispagestyle{plainfoot}%
    \fi
  \else
    \thispagestyle{plainhead}%
  \fi}
\if@titlepage
  \newcommand{\maketitle}{%
    \begin{titlepage}%
      \let\footnotesize\small
      \let\footnoterule\relax
      \let\footnote\thanks
      \null\vfil
      \if@slide
        {\footnotesize \@date}%
        \begin{center}
          \mbox{} \\[1zw]
          \large
          {\maybeblue\hrule height0\jsc@mpt depth2\jsc@mpt\relax}\par
          \jsc@smallskip
          \@title
          \jsc@smallskip
          {\maybeblue\hrule height0\jsc@mpt depth2\jsc@mpt\relax}\par
          \vfill
          {\small \@author}%
        \end{center}
      \else
      \vskip 60\jsc@mpt
      \begin{center}%
        {\LARGE \@title \par}%
        \vskip 3em%
        {\large
          \lineskip .75em
          \begin{tabular}[t]{c}%
            \@author
          \end{tabular}\par}%
        \vskip 1.5em
        {\large \@date \par}%
      \end{center}%
      \fi
      \par
      \@thanks\vfil\null
    \end{titlepage}%
    \setcounter{footnote}{0}%
    \global\let\thanks\relax
    \global\let\maketitle\relax
    \global\let\@thanks\@empty
    \global\let\@author\@empty
    \global\let\@date\@empty
    \global\let\@title\@empty
    \global\let\title\relax
    \global\let\author\relax
    \global\let\date\relax
    \global\let\and\relax
  }%
\else
  \newcommand{\maketitle}{\par
    \begingroup
      \renewcommand\thefootnote{\@fnsymbol\c@footnote}%
      \def\@makefnmark{\rlap{\@textsuperscript{\normalfont\@thefnmark}}}%
      \long\def\@makefntext##1{\advance\leftskip 3zw
        \parindent 1zw\noindent
        \llap{\@textsuperscript{\normalfont\@thefnmark}\hskip0.3zw}##1}%
      \if@twocolumn
        \ifnum \col@number=\@ne
          \@maketitle
        \else
          \twocolumn[\@maketitle]%
        \fi
      \else
        \newpage
        \global\@topnum\z@  % Prevents figures from going at top of page.
        \@maketitle
      \fi
      \plainifnotempty
      \@thanks
    \endgroup
    \setcounter{footnote}{0}%
    \global\let\thanks\relax
    \global\let\maketitle\relax
    \global\let\@thanks\@empty
    \global\let\@author\@empty
    \global\let\@date\@empty
    \global\let\@title\@empty
    \global\let\title\relax
    \global\let\author\relax
    \global\let\date\relax
    \global\let\and\relax
  }
  %%%%%%%%% for $B?t3X;K8&5f(B
    \def\@maketitle{%
    \newpage\null
    %    \vskip 2em
    \vskip -1cm
    \begin{flushleft}
       {\fbox{\bfseries\@Submit}}%\par
    \end{flushleft}%   
    \begin{center}%
      \let\footnote\thanks
      {\bfseries\Large \@title \par}%
     \end{center}%
    \begin{center}
 %     \let\footnote\thanks      
      {\bfseries\large \@author}
    \end{center}
    \vskip -10pt
    \ifvoid\@abstractbox\else\centerline{\box\@abstractbox}\vskip1.5em\fi
  }
\fi
%\def\keywords#1{\gdef\@keywords{\bfseries{Key Words}:  #1}}
\newcommand{\keywords}[1]{\small\bfseries Key Words : #1}
%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%
%% \section or \subsection commands have been ported from rims-bessatsu.cls

\setcounter{secnumdepth}{3}
\newcounter {part}
\newcounter {section}
\newcounter {subsection}[section]
\newcounter {subsubsection}[subsection]
\newcounter {paragraph}[subsubsection]
\newcounter {subparagraph}[paragraph]
\def\@seccntformat#1{\csname the#1\endcsname}
\renewcommand \thepart {\@Roman\c@part}
\renewcommand \thesection {\@arabic\c@section}
\renewcommand \thesubsection   {\thesection.\@arabic\c@subsection}
\renewcommand \thesubsubsection{\thesubsection.\@arabic\c@subsubsection}
\renewcommand \theparagraph    {\thesubsubsection.\@arabic\c@paragraph}
\renewcommand \thesubparagraph {\theparagraph.\@arabic\c@subparagraph.}

\newcommand\part{\par
   \addvspace{4ex}%
   \@afterindentfalse
   \secdef\@part\@spart
}

\def\@part[#1]#2{%
    \ifnum \c@secnumdepth >\m@ne
      \refstepcounter{part}%
      \addcontentsline{toc}{part}{\thepart\hspace{1em}#1}%
    \else
      \addcontentsline{toc}{part}{#1}%
    \fi
    {\parindent \z@ \raggedright
     \interlinepenalty \@M
     \normalfont
     \ifnum \c@secnumdepth >\m@ne
       \Large\bfseries \partname~\thepart
       \par\nobreak
     \fi
     \huge \bfseries #2%
     \markboth{}{}\par}%
    \nobreak
    \vskip 3ex
    \@afterheading}
\def\@spart#1{%
    {\parindent \z@ \raggedright
     \interlinepenalty \@M
     \normalfont
     \huge \bfseries #1\par}%
     \nobreak
     \vskip 3ex
     \@afterheading}

\def\section{%\par
   \addvspace{2mm}%%%{\baselineskip}
   \@afterindenttrue
   \secdef\@section\@ssection}
\def\@section[#1]#2{%
    \ifnum \c@secnumdepth >\m@ne
      \refstepcounter{section}%
      \addcontentsline{toc}{section}{\thesection.\hspace{1em}#1}%
    \else
      \addcontentsline{toc}{section}{\hspace{1em}#1}%
    \fi
%%%
    \if@nobreak%
    	\vspace{-4mm}
    \fi
%%%
    {\parindent \z@ 
     \interlinepenalty \@M
     \normalfont
    \par \bigskip \centering{
     \ifnum \c@secnumdepth >\m@ne
       \bfseries \thesection.\quad%
     \fi%
     \bfseries #2
      }\par\nobreak\bigskip \nobreak}%
    \nobreak
%    \vskip \baselineskip
    \@afterheading}%
\def\@ssection#1{%
%%%
    \if@nobreak%
    	\vspace{-4mm}
    \fi
%%%
    {\parindent \z@ 
     \interlinepenalty \@M
     \normalfont
     \begin{center}
     \bfseries #1
      \end{center}}%
    \nobreak
%    \vskip \baselineskip
    \@afterheading}%

\def\subsection{%\par
   \addvspace{2mm}%%%{\baselineskip}
   \@afterindenttrue
   \secdef\@subsection\@ssubsection}
\def\@subsection[#1]#2{%
    \ifnum \c@secnumdepth >\m@ne
      \refstepcounter{subsection}%
      \addcontentsline{toc}{subsection}{\thesubsection.\hspace{1em}#1}%
    \else
      \addcontentsline{toc}{subsection}{#1}%
    \fi
%%%
    \if@nobreak%
    	\vspace{-4mm}
    \fi
%%%
    {\parindent \z@ 
     \interlinepenalty \@M
     \normalfont
     \par \medskip \centering{
     \ifnum \c@secnumdepth >\m@ne
       \bfseries \thesubsection.\quad%
     \fi%
     \bfseries #2
       }\par\nobreak\medskip \nobreak}%
%    \vskip \baselineskip
    \nobreak
    \@afterheading}%
\def\@ssubsection#1{%
    {\parindent \z@ 
     \interlinepenalty \@M
     \normalfont
    \par \medskip \centering{
     \bfseries #1
       }\par\nobreak\medskip \nobreak}%
    \nobreak
%    \vskip \baselineskip
    \@afterheading}%
%%%%
\def\subsubsection{%
   \addvspace{\baselineskip}%%%{2mm}
   \@afterindenttrue
   \secdef\@subsubsection\@ssubsubsection}
\def\@subsubsection[#1]#2{%
    \ifnum \c@secnumdepth >\m@ne
      \refstepcounter{subsubsection}%
      \addcontentsline{toc}{subsubsection}{\S\,\thesubsubsection.\hspace{1em}#1}%
    \else
      \addcontentsline{toc}{subsubsection}{#1}%
    \fi
%%%
    \if@nobreak%
    	\vspace{-4mm}
    \fi
%%%
    {\parindent \z@ 
     \interlinepenalty \@M
     \normalfont
     \ifnum \c@secnumdepth >\m@ne
       \bfseries \thesubsubsection.\quad%
     \fi%
     \bfseries #2
     }%
     }%
\def\@ssubsubsection#1{%
%%%
    \if@nobreak%
    	\vspace{-4mm}
    \fi
%%%
    {\parindent \z@ 
     \interlinepenalty \@M
     \normalfont
     \bfseries #1
     }%
     }%
%%%%
% %%%%%%%%%%%%%
\def\@seccntformat#1{\csname the#1\endcsname\quad}
%%%%%%%%%%%%%


\newcommand\paragraph{\@startsection{paragraph}{4}{\z@}%
                                    {3.25ex \@plus1ex \@minus.2ex}%
                                    {-1em}%
                                    {\normalfont\normalsize\bfseries}}
\newcommand\subparagraph{\@startsection{subparagraph}{5}{\parindent}%
                                       {3.25ex \@plus1ex \@minus .2ex}%
                                       {-1em}%
                                      {\normalfont\normalsize\bfseries}}
%%%%%%%%%%%%%%%%%%
\if@slide
  \setlength\leftmargini{1zw}
\else
  \if@twocolumn
    \setlength\leftmargini{2zw}
  \else
    \setlength\leftmargini{3zw}
  \fi
\fi
\if@slide
  \setlength\leftmarginii {1zw}
  \setlength\leftmarginiii{1zw}
  \setlength\leftmarginiv {1zw}
  \setlength\leftmarginv  {1zw}
  \setlength\leftmarginvi {1zw}
\else
  \setlength\leftmarginii {2zw}
  \setlength\leftmarginiii{2zw}
  \setlength\leftmarginiv {2zw}
  \setlength\leftmarginv  {1zw}
  \setlength\leftmarginvi {1zw}
\fi
\setlength  \labelsep  {0.5zw} % .5em
\setlength  \labelwidth{\leftmargini}
\addtolength\labelwidth{-\labelsep}
\setlength\partopsep{\z@} % {2\p@ \@plus 1\p@ \@minus 1\p@}
\@beginparpenalty -\@lowpenalty
\@endparpenalty   -\@lowpenalty
\@itempenalty     -\@lowpenalty
\def\@listi{\leftmargin\leftmargini
  \parsep \z@
  \topsep 0.5\baselineskip
  \itemsep \z@ \relax}
\let\@listI\@listi
\@listi
\def\@listii{\leftmargin\leftmarginii
  \labelwidth\leftmarginii \advance\labelwidth-\labelsep
  \topsep \z@
  \parsep \z@
  \itemsep\parsep}
\def\@listiii{\leftmargin\leftmarginiii
  \labelwidth\leftmarginiii \advance\labelwidth-\labelsep
  \topsep \z@
  \parsep \z@
  \itemsep\parsep}
\def\@listiv {\leftmargin\leftmarginiv
              \labelwidth\leftmarginiv
              \advance\labelwidth-\labelsep}
\def\@listv  {\leftmargin\leftmarginv
              \labelwidth\leftmarginv
              \advance\labelwidth-\labelsep}
\def\@listvi {\leftmargin\leftmarginvi
              \labelwidth\leftmarginvi
              \advance\labelwidth-\labelsep}
\renewcommand{\theenumi}{\@arabic\c@enumi}
\renewcommand{\theenumii}{\@alph\c@enumii}
\renewcommand{\theenumiii}{\@roman\c@enumiii}
\renewcommand{\theenumiv}{\@Alph\c@enumiv}
\newcommand{\labelenumi}{\theenumi.}
\newcommand{\labelenumii}{\inhibitglue$B!J(B\theenumii$B!K(B\inhibitglue}
\newcommand{\labelenumiii}{\theenumiii.}
\newcommand{\labelenumiv}{\theenumiv.}
\renewcommand{\p@enumii}{\theenumi}
\renewcommand{\p@enumiii}{\theenumi\inhibitglue$B!J(B\theenumii$B!K(B}
\renewcommand{\p@enumiv}{\p@enumiii\theenumiii}
\newcommand\labelitemi{\textbullet}
\newcommand\labelitemii{\normalfont\bfseries \textendash}
\newcommand\labelitemiii{\textasteriskcentered}
\newcommand\labelitemiv{\textperiodcentered}
\newenvironment{description}{%
  \list{}{%
    \labelwidth=\leftmargin
    \labelsep=1zw
    \advance \labelwidth by -\labelsep
    \let \makelabel=\descriptionlabel}}{\endlist}
\newcommand*\descriptionlabel[1]{\normalfont\headfont #1\hfil}
\newbox\@abstractbox
\if@titlepage
  \newenvironment{abstract}{%
    \titlepage
    \null\vfil
    \@beginparpenalty\@lowpenalty
    \begin{center}%
      \headfont \abstractname
      \@endparpenalty\@M
    \end{center}}%
  {\par\vfil\null\endtitlepage}
\else
  \newenvironment{abstract}{%
    \if@twocolumn
      \ifx\maketitle\relax
        \section*{\abstractname}%
      \else
        \global\setbox\@abstractbox\hbox\bgroup
        \begin{minipage}[b]{\textwidth}
          \small%\noindent%\parindent1zw
          \begin{center}%
            {\headfont \abstractname\vspace{-.5em}\vspace{\z@}}%
          \end{center}%
          \list{}{%
            \listparindent\parindent
            \itemindent \listparindent
            \rightmargin \leftmargin}%
          \item\relax
      \fi
    \else
      \small
      \begin{center}%
        {\headfont \abstractname\vspace{-.5em}\vspace{\z@}}%
      \end{center}%
      \list{}{%
        \listparindent\parindent
        \itemindent \listparindent
        \rightmargin \leftmargin}%
      \item\relax
    \fi}{\if@twocolumn
      \ifx\maketitle\relax
      \else
        \endlist\end{minipage}\egroup
      \fi
    \else
      \endlist
    \fi}
\fi
\newenvironment{verse}{%
  \let \\=\@centercr
  \list{}{%
    \itemsep \z@
    \itemindent -2zw % $B85(B: -1.5em
    \listparindent\itemindent
    \rightmargin \z@
    \advance\leftmargin 2zw}% $B85(B: 1.5em
  \item\relax}{\endlist}
\newenvironment{quotation}{%
  \list{}{%
    \listparindent\parindent
    \itemindent\listparindent
    \rightmargin \z@}%
  \item\relax}{\endlist}
\newenvironment{quote}%
  {\list{}{\rightmargin\z@}\item\relax}{\endlist}
\def\@begintheorem#1#2{\trivlist\labelsep=1zw
   \item[\hskip \labelsep{\headfont #1\ #2}]}
\def\@opargbegintheorem#1#2#3{\trivlist\labelsep=1zw
      \item[\hskip \labelsep{\headfont #1\ #2$B!J(B#3$B!K(B}]}
\newenvironment{titlepage}{%
    \if@twocolumn
      \@restonecoltrue\onecolumn
    \else
      \@restonecolfalse\newpage
    \fi
    \thispagestyle{empty}%
    \ifodd\c@page\setcounter{page}\@ne\else\setcounter{page}\z@\fi %% 2017-02-24
  }%
  {\if@restonecol\twocolumn \else \newpage \fi
    \if@twoside\else
      \setcounter{page}\@ne
    \fi}
\newcommand{\appendix}{\par
  \setcounter{section}{0}%
  \setcounter{subsection}{0}%
  \gdef\presectionname{\appendixname}%
  \gdef\postsectionname{}%
  \gdef\thesection{\presectionname\@Alph\c@section\postsectionname}%
  \gdef\thesubsection{\@Alph\c@section.\@arabic\c@subsection}}
\setlength\arraycolsep{5\jsc@mpt}
\setlength\tabcolsep{6\jsc@mpt}
\setlength\arrayrulewidth{.4\jsc@mpt}
\setlength\doublerulesep{2\jsc@mpt}
\setlength\tabbingsep{\labelsep}
\skip\@mpfootins = \skip\footins
\setlength\fboxsep{3\jsc@mpt}
\setlength\fboxrule{.4\jsc@mpt}
\renewcommand \theequation {\@arabic\c@equation}
\newcounter{figure}
\renewcommand \thefigure {\@arabic\c@figure}
\def\fps@figure{tbp}
\def\ftype@figure{1}
\def\ext@figure{lof}
\def\fnum@figure{\figurename\nobreak\thefigure}
\newenvironment{figure}%
               {\@float{figure}}%
               {\end@float}
\newenvironment{figure*}%
               {\@dblfloat{figure}}%
               {\end@dblfloat}
\newcounter{table}
\renewcommand\thetable{\@arabic\c@table}
\def\fps@table{tbp}
\def\ftype@table{2}
\def\ext@table{lot}
\def\fnum@table{\tablename\nobreak\thetable}
\newenvironment{table}%
               {\@float{table}}%
               {\end@float}
\newenvironment{table*}%
               {\@dblfloat{table}}%
               {\end@dblfloat}
\newlength\abovecaptionskip
\newlength\belowcaptionskip
\setlength\abovecaptionskip{5\jsc@mpt}
\setlength\belowcaptionskip{5\jsc@mpt}
\long\def\@makecaption#1#2{{\small
  \advance\leftskip .0628\linewidth
  \advance\rightskip .0628\linewidth
  \vskip\abovecaptionskip
  \sbox\@tempboxa{#1\hskip1zw\relax #2}%
  \ifdim \wd\@tempboxa <\hsize \centering \fi
  #1\hskip1zw\relax #2\par
  \vskip\belowcaptionskip}}
\DeclareOldFontCommand{\mc}{\normalfont\mcfamily}{\mathmc}
\DeclareOldFontCommand{\gt}{\normalfont\gtfamily}{\mathgt}
\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm}
\DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf}
\DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt}
\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf}
\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit}
\DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl}
\DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc}
\DeclareRobustCommand*{\cal}{\@fontswitch\relax\mathcal}
\DeclareRobustCommand*{\mit}{\@fontswitch\relax\mathnormal}
\newcommand\@pnumwidth{1.55em}
\newcommand\@tocrmarg{2.55em}
\newcommand\@dotsep{4.5}
\setcounter{tocdepth}{2}
\newdimen\jsc@tocl@width
\newcommand{\tableofcontents}{%
  \settowidth\jsc@tocl@width{\headfont\presectionname\postsectionname}%
  \settowidth\@tempdima{\headfont\appendixname}%
  \ifdim\jsc@tocl@width<\@tempdima\relax\setlength\jsc@tocl@width{\@tempdima}\fi
  \ifdim\jsc@tocl@width<2zw \divide\jsc@tocl@width by 2 \advance\jsc@tocl@width 1zw\fi
  \section*{\contentsname}%
  \@mkboth{\contentsname}{\contentsname}%
  \@starttoc{toc}%
}
\newcommand*{\l@part}[2]{%
  \ifnum \c@tocdepth >-2\relax
    \addpenalty\@secpenalty
    \addvspace{2.25em \@plus\jsc@mpt}%
    \begingroup
      \parindent \z@
      \rightskip \@tocrmarg
      \parfillskip -\rightskip
      {\leavevmode
        \large \headfont
        \setlength\@lnumwidth{4zw}%
        #1\hfil \hb@xt@\@pnumwidth{\hss #2}}\par
      \nobreak
    \endgroup
  \fi}
\newcommand*{\l@section}[2]{%
  \ifnum \c@tocdepth >\z@
    \addpenalty{\@secpenalty}%
    \addvspace{1.0em \@plus\jsc@mpt}%
    \begingroup
      \parindent\z@
      \rightskip\@tocrmarg
      \parfillskip-\rightskip
      \leavevmode\headfont
      \setlength\@lnumwidth{\jsc@tocl@width}\advance\@lnumwidth 2zw
      \advance\leftskip\@lnumwidth \hskip-\leftskip
      #1\nobreak\hfil\nobreak\hbox to\@pnumwidth{\hss#2}\par
    \endgroup
  \fi}
\newcommand*{\l@subsection}{%
          \@tempdima\jsc@tocl@width \advance\@tempdima -1zw
          \@dottedtocline{2}{\@tempdima}{3zw}}
\newcommand*{\l@subsubsection}{%
          \@tempdima\jsc@tocl@width \advance\@tempdima 0zw
          \@dottedtocline{3}{\@tempdima}{4zw}}
\newcommand*{\l@paragraph}{%
          \@tempdima\jsc@tocl@width \advance\@tempdima 1zw
          \@dottedtocline{4}{\@tempdima}{5zw}}
\newcommand*{\l@subparagraph}{%
          \@tempdima\jsc@tocl@width \advance\@tempdima 2zw
          \@dottedtocline{5}{\@tempdima}{6zw}}
\newdimen\@lnumwidth
\def\numberline#1{\hb@xt@\@lnumwidth{#1\hfil}\hspace{0pt}}
\def\@dottedtocline#1#2#3#4#5{\ifnum #1>\c@tocdepth \else
  \vskip \z@ \@plus.2\jsc@mpt
  {\leftskip #2\relax \rightskip \@tocrmarg \parfillskip -\rightskip
    \parindent #2\relax\@afterindenttrue
   \interlinepenalty\@M
   \leavevmode
   \@lnumwidth #3\relax
   \advance\leftskip \@lnumwidth \null\nobreak\hskip -\leftskip
    {#4}\nobreak
    \leaders\hbox{$\m@th \mkern \@dotsep mu\hbox{.}\mkern \@dotsep
       mu$}\hfill \nobreak\hb@xt@\@pnumwidth{%
         \hfil\normalfont \normalcolor #5}\par}\fi}
\newcommand{\listoffigures}{%
  \section*{\listfigurename}%
  \@mkboth{\listfigurename}{\listfigurename}%
  \@starttoc{lof}%
}
\newcommand*{\l@figure}{\@dottedtocline{1}{1zw}{3.683zw}}
\newcommand{\listoftables}{%
  \section*{\listtablename}%
  \@mkboth{\listtablename}{\listtablename}%
  \@starttoc{lot}%
}
\let\l@table\l@figure
\newdimen\bibindent
\setlength\bibindent{2zw}
%%%%%% rims-bessatsu.cls %%%%%%%%%%%%%%
\newenvironment{thebibliography}[1]
     {\vspace{20pt}
     \section*{\refname%
     }%
      \small%%%
      \list{\@biblabel{\@arabic\c@enumiv}}%
           {%
            \setlength{\parsep}{0pt}%%%
            \setlength{\itemsep}{0pt}%%%
            \settowidth\labelwidth{\@biblabel{#1}}%
            \leftmargin\labelwidth
            \advance\leftmargin\labelsep
            \usecounter{enumiv}%
            \let\p@enumiv\@empty
            \renewcommand\theenumiv{\@arabic\c@enumiv}}%
      \sloppy
      \clubpenalty4000
      \@clubpenalty \clubpenalty
      \widowpenalty4000%
      \sfcode`\.\@m}
%%%%%%%%%     
  {\def\@noitemerr
    {\@latex@warning{Empty `thebibliography' environment}}%
   \endlist}
\newcommand{\newblock}{\hskip .11em\@plus.33em\@minus.07em}
\let\@openbib@code\@empty
\newenvironment{theindex}{% $B:w0z$r(B3$BCJAH$G=PNO$9$k4D6-(B
    \if@twocolumn
      \onecolumn\@restonecolfalse
    \else
      \clearpage\@restonecoltrue
    \fi
    \columnseprule.4pt \columnsep 2zw
    \ifx\multicols\@undefined
      \def\presectionname{}\def\postsectionname{}%
      \twocolumn[\section*{\indexname}]%
    \else
      \ifdim\textwidth<\fullwidth
        \setlength{\evensidemargin}{\oddsidemargin}
        \setlength{\textwidth}{\fullwidth}
        \setlength{\linewidth}{\fullwidth}
        \def\presectionname{}\def\postsectionname{}%
        \begin{multicols}{3}[\section*{\indexname}]%
      \else
        \def\presectionname{}\def\postsectionname{}%
        \begin{multicols}{2}[\section*{\indexname}]%
      \fi
    \fi
    \@mkboth{\indexname}{\indexname}%
    \plainifnotempty % \thispagestyle{plain}
    \parindent\z@
    \parskip\z@ \@plus .3\jsc@mpt\relax
    \let\item\@idxitem
    \raggedright
    \footnotesize\narrowbaselines
  }{
    \ifx\multicols\@undefined
      \if@restonecol\onecolumn\fi
    \else
      \end{multicols}
    \fi
    \clearpage
  }
\newcommand{\@idxitem}{\par\hangindent 4zw} % $B85(B 40pt
\newcommand{\subitem}{\@idxitem \hspace*{2zw}} % $B85(B 20pt
\newcommand{\subsubitem}{\@idxitem \hspace*{3zw}} % $B85(B 30pt
\newcommand{\indexspace}{\par \vskip 10\jsc@mpt \@plus5\jsc@mpt \@minus3\jsc@mpt\relax}
\newcommand\seename{\if@english see\else $B"*(B\fi}
\newcommand\alsoname{\if@english see also\else $B"*(B\fi}
\@ifl@t@r\pfmtversion{2016/09/03}
    {\jsc@needsp@tchfalse}{\jsc@needsp@tchtrue}
\ifjsc@needsp@tch
  \let\footnotes@ve=\footnote
  \def\footnote{\inhibitglue\footnotes@ve}
  \let\footnotemarks@ve=\footnotemark
  \def\footnotemark{\inhibitglue\footnotemarks@ve}
\fi
\@ifl@t@r\pfmtversion{2016/04/17}
    {\jsc@needsp@tchfalse}{\jsc@needsp@tchtrue}
\ifjsc@needsp@tch
\renewcommand\@makefnmark{%
  \ifydir \hbox{}\hbox{\@textsuperscript{\normalfont\@thefnmark}}\hbox{}%
  \else\hbox{\yoko\@textsuperscript{\normalfont\@thefnmark}}\fi}
\fi
\def\thefootnote{\ifnum\c@footnote>\z@\leavevmode\lower.5ex\hbox{*}\@arabic\c@footnote\fi}
\renewcommand{\footnoterule}{%
  \kern-3\jsc@mpt
  \hrule width .4\columnwidth height 0.4\jsc@mpt
  \kern 2.6\jsc@mpt}
\long\def\@footnotetext{%
  \insert\footins\bgroup
    \normalfont\footnotesize
    \interlinepenalty\interfootnotelinepenalty
    \splittopskip\footnotesep
    \splitmaxdepth \dp\strutbox \floatingpenalty \@MM
    \hsize\columnwidth \@parboxrestore
    \protected@edef\@currentlabel{%
       \csname p@footnote\endcsname\@thefnmark
    }%
    \color@begingroup
      \@makefntext{%
        \rule\z@\footnotesep\ignorespaces}%
      \futurelet\next\fo@t}
\def\fo@t{\ifcat\bgroup\noexpand\next \let\next\f@@t
                                \else \let\next\f@t\fi \next}
\def\f@@t{\bgroup\aftergroup\@foot\let\next}
\def\f@t#1{#1\@foot}
\def\@foot{\@finalstrut\strutbox\color@endgroup\egroup
  \ifx\pltx@foot@penalty\@undefined\else
    \ifhmode\null\fi
    \ifnum\pltx@foot@penalty=\z@\else
      \penalty\pltx@foot@penalty
      \pltx@foot@penalty\z@
    \fi
  \fi}
\newcommand\@makefntext[1]{%
  \advance\leftskip 3zw
  \parindent 1zw
  \noindent
  \llap{\@makefnmark\hskip0.3zw}#1}
\def\@inhibitglue{%
  \futurelet\@let@token\@@inhibitglue}
\begingroup
\let\GDEF=\gdef
\let\CATCODE=\catcode
\let\ENDGROUP=\endgroup
\CATCODE`k=12
\CATCODE`a=12
\CATCODE`n=12
\CATCODE`j=12
\CATCODE`i=12
\CATCODE`c=12
\CATCODE`h=12
\CATCODE`r=12
\CATCODE`t=12
\CATCODE`e=12
\GDEF\KANJI@CHARACTER{kanji character }
\ENDGROUP
\def\@@inhibitglue{%
  \expandafter\expandafter\expandafter\jsc@inhibitglue\expandafter\meaning\expandafter\@let@token\KANJI@CHARACTER\relax\jsc@end}
\expandafter\def\expandafter\jsc@inhibitglue\expandafter#\expandafter1\KANJI@CHARACTER#2#3\jsc@end{%
  \def\jsc@ig@temp{#1}%
  \ifx\jsc@ig@temp\@empty
    \ifnum\the\inhibitxspcode`#2=2\relax
      \inhibitglue
    \fi
  \fi}
\let\everyparhook=\@inhibitglue
\AtBeginDocument{\everypar{\everyparhook}}
\def\@doendpe{%
  \@endpetrue
  \def\par{%
    \@restorepar\clubpenalty\@clubpenalty\everypar{\everyparhook}\par\@endpefalse}%
  \everypar{{\setbox\z@\lastbox}\everypar{\everyparhook}\@endpefalse\everyparhook}}
\def\@item[#1]{%
  \if@noparitem
    \@donoparitem
  \else
    \if@inlabel
      \indent \par
    \fi
    \ifhmode
      \unskip\unskip \par
    \fi
    \if@newlist
      \if@nobreak
        \@nbitem
      \else
        \addpenalty\@beginparpenalty
        \addvspace\@topsep
        \addvspace{-\parskip}%
      \fi
    \else
      \addpenalty\@itempenalty
      \addvspace\itemsep
    \fi
    \global\@inlabeltrue
  \fi
  \everypar{%
    \@minipagefalse
    \global\@newlistfalse
    \if@inlabel
      \global\@inlabelfalse
      {\setbox\z@\lastbox
       \ifvoid\z@
         \kern-\itemindent
       \fi}%
      \box\@labels
      \penalty\z@
    \fi
    \if@nobreak
      \@nobreakfalse
      \clubpenalty \@M
    \else
      \clubpenalty \@clubpenalty
      \everypar{\everyparhook}%
    \fi\everyparhook}%
  \if@noitemarg
    \@noitemargfalse
    \if@nmbrlist
      \refstepcounter\@listctr
    \fi
  \fi
  \sbox\@tempboxa{\makelabel{#1}}%
  \global\setbox\@labels\hbox{%
    \unhbox\@labels
    \hskip \itemindent
    \hskip -\labelwidth
    \hskip -\labelsep
    \ifdim \wd\@tempboxa >\labelwidth
      \box\@tempboxa
    \else
      \hbox to\labelwidth {\unhbox\@tempboxa}%
    \fi
    \hskip \labelsep}%
  \ignorespaces}
\def\@afterheading{%
  \@nobreaktrue
  \everypar{%
    \if@nobreak
      \@nobreakfalse
      \clubpenalty \@M
      \if@afterindent \else
        {\setbox\z@\lastbox}%
      \fi
    \else
      \clubpenalty \@clubpenalty
      \everypar{\everyparhook}%
    \fi\everyparhook}}
\def\@gnewline #1{%
  \ifvmode
    \@nolnerr
  \else
    \unskip \reserved@e {\reserved@f#1}\nobreak \hfil \break \null
    \inhibitglue \ignorespaces
  \fi}
\if@jslogo
  \IfFileExists{jslogo.sty}{%
    \RequirePackage{jslogo}%
    \def\$B>.(B{\jslg@small}%
    \def\$B>e>.(B{\jslg@uppersmall}%
  }{%
    \ClassWarningNoLine{\jsc@clsname}{%
      The redefinitions of LaTeX-related logos has\MessageBreak
      been moved to jslogo.sty since 2016, but\MessageBreak
      jslogo.sty not found. Current release of\MessageBreak
      'jsclasses' includes it, so please check\MessageBreak
      the installation}%
  }
\fi
\newcommand{\prepartname}{\if@english Part~\else $BBh(B\fi}
\newcommand{\postpartname}{\if@english\else $BIt(B\fi}
\newcommand{\presectionname}{}%  $BBh(B
\newcommand{\postsectionname}{}% $B@a(B
\newcommand{\contentsname}{\if@english Contents\else $BL\<!(B\fi}
\newcommand{\listfigurename}{\if@english List of Figures\else $B?^L\<!(B\fi}
\newcommand{\listtablename}{\if@english List of Tables\else $BI=L\<!(B\fi}
\newcommand{\refname}{\if@english References\else $B;29MJ88%(B\fi}
\newcommand{\bibname}{\if@english Bibliography\else $B;29MJ88%(B\fi}
\newcommand{\indexname}{\if@english Index\else $B:w0z(B\fi}
\newcommand{\figurename}{\if@english Fig.~\else $B?^(B\fi}
\newcommand{\tablename}{\if@english Table~\else $BI=(B\fi}
\newcommand{\appendixname}{\if@english \else $BIUO?(B\fi}
\newcommand{\abstractname}{\if@english Abstract\else Abstract\fi}
\newif\if$B@>Nq(B \$B@>Nq(Btrue
\def\$B@>Nq(B{\$B@>Nq(Btrue}
\def\$BOBNq(B{\$B@>Nq(Bfalse}
\newcount\reiwa \reiwa\year \advance\reiwa-2018\relax
\def\today{%
  \if@english
    \ifcase\month\or
      January\or February\or March\or April\or May\or June\or
      July\or August\or September\or October\or November\or December\fi
      \space\number\day, \number\year
  \else
    \if$B@>Nq(B
      \number\year $BG/(B
      \number\month $B7n(B
      \number\day $BF|(B
    \else
      $BNaOB(B\number\reiwa $BG/(B
      \number\month $B7n(B
      \number\day $BF|(B
    \fi
  \fi}
\hyphenation{ado-be post-script ghost-script phe-nom-e-no-log-i-cal man-u-script}
\if@slide \pagestyle{empty} \else \pagestyle{plain} \fi
\pagenumbering{arabic}
\if@twocolumn
  \twocolumn
  \sloppy
  \flushbottom
\else
  \onecolumn
  \raggedbottom
\fi
\if@slide
  \renewcommand\kanjifamilydefault{\gtdefault}
  \renewcommand\familydefault{\sfdefault}
  \raggedright
  \xkanjiskip=0.1em\relax
\fi
\@ifpackageloaded{exppl2e}{\jsc@needsp@tchtrue}{\jsc@needsp@tchfalse}
\ifjsc@needsp@tch\else
  \expandafter\endinput
\fi
\def\@gnewline #1{%
  \ifvmode
    \@nolnerr
  \else
    \unskip \reserved@e {\reserved@f#1}\nobreak \hfil \break \hskip \z@
    \ignorespaces
  \fi}
\endinput
%%
%% End of file `jsarticle.cls'.



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%$B0J2<$O(Bjsarticle.cls$B$N(Bsection,subsection,$B$J$I(B
\def\@startsection#1#2#3#4#5#6{%
  \if@noskipsec \leavevmode \fi
  \par
  \@tempskipa #4\relax
  \if@english \@afterindentfalse \else \@afterindenttrue \fi
  \ifdim \@tempskipa <\z@
    \@tempskipa -\@tempskipa \@afterindentfalse
  \fi
  \if@nobreak
    \everypar{}%
  \else
    \addpenalty\@secpenalty
    \ifdim \@tempskipa >\z@
      \if@slide\else
        \null
        \vspace*{-\baselineskip}%
      \fi
      \vskip\@tempskipa
    \fi
  \fi
  \noindent
  \@ifstar
    {\@ssect{#3}{#4}{#5}{#6}}%
    {\@dblarg{\@sect{#1}{#2}{#3}{#4}{#5}{#6}}}}
\def\@sect#1#2#3#4#5#6[#7]#8{%
  \ifnum #2>\c@secnumdepth
    \let\@svsec\@empty
  \else
    \refstepcounter{#1}%
    \protected@edef\@svsec{\@seccntformat{#1}\relax}%
  \fi
  \@tempskipa #5\relax
  \ifdim \@tempskipa<\z@
    \def\@svsechd{%
      #6{\hskip #3\relax
      \@svsec #8}%
      \csname #1mark\endcsname{#7}%
      \addcontentsline{toc}{#1}{%
        \ifnum #2>\c@secnumdepth \else
          \protect\numberline{\csname the#1\endcsname}%
        \fi
        #7}}% $BL\<!$K%U%k%M!<%`$r:\$;$k$J$i(B #8
  \else
    \begingroup
      \interlinepenalty \@M % $B2<$+$i0\F0(B
      #6{%
        \@hangfrom{\hskip #3\relax\@svsec}%
        #8\@@par}%
    \endgroup
    \csname #1mark\endcsname{#7}%
    \addcontentsline{toc}{#1}{%
      \ifnum #2>\c@secnumdepth \else
        \protect\numberline{\csname the#1\endcsname}%
      \fi
      #7}% $BL\<!$K%U%k%M!<%`$r:\$;$k$J$i$3$3$O(B #8
  \fi
  \@xsect{#5}}
\def\@xsect#1{%
  \@tempskipa #1\relax
  \ifdim \@tempskipa<\z@
    \@nobreakfalse
    \global\@noskipsectrue
    \everypar{%
      \if@noskipsec
        \global\@noskipsecfalse
       {\setbox\z@\lastbox}%
        \clubpenalty\@M
        \begingroup \@svsechd \endgroup
        \unskip
        \@tempskipa #1\relax
        \hskip -\@tempskipa
      \else
        \clubpenalty \@clubpenalty
        \everypar{\everyparhook}%
      \fi\everyparhook}%
  \else
    \par \nobreak
    \vskip \@tempskipa
    \@afterheading
  \fi
  \if@slide
    {\vskip\if@twocolumn-5\jsc@mpt\else-6\jsc@mpt\fi
     \maybeblue\hrule height0\jsc@mpt depth1\jsc@mpt
     \vskip\if@twocolumn 4\jsc@mpt\else 7\jsc@mpt\fi\relax}%
  \fi
  \par  % 2000-12-18
  \ignorespaces}
\def\@ssect#1#2#3#4#5{%
  \@tempskipa #3\relax
  \ifdim \@tempskipa<\z@
    \def\@svsechd{#4{\hskip #1\relax #5}}%
  \else
    \begingroup
      #4{%
        \@hangfrom{\hskip #1}%
          \interlinepenalty \@M #5\@@par}%
    \endgroup
  \fi
  \@xsect{#3}}
\newcommand*\chaptermark[1]{}
\setcounter{secnumdepth}{3}
\newcounter{part}
\newcounter{section}
\newcounter{subsection}[section]
\newcounter{subsubsection}[subsection]
\newcounter{paragraph}[subsubsection]
\newcounter{subparagraph}[paragraph]
\renewcommand{\thepart}{\@Roman\c@part}
% \renewcommand{\thesection}{\@arabic\c@section}
\renewcommand{\thesection}{\presectionname\@arabic\c@section\postsectionname}
\renewcommand{\thesubsection}{\@arabic\c@section.\@arabic\c@subsection}
\renewcommand{\thesubsubsection}{%
   \thesubsection.\@arabic\c@subsubsection}
\renewcommand{\theparagraph}{%
   \thesubsubsection.\@arabic\c@paragraph}
\renewcommand{\thesubparagraph}{%
   \theparagraph.\@arabic\c@subparagraph}
\newcommand\part{%
  \if@noskipsec \leavevmode \fi
  \par
  \addvspace{4ex}%
  \if@english \@afterindentfalse \else \@afterindenttrue \fi
  \secdef\@part\@spart}
\def\@part[#1]#2{%
  \ifnum \c@secnumdepth >\m@ne
    \refstepcounter{part}%
    \addcontentsline{toc}{part}{%
      \prepartname\thepart\postpartname\hspace{1zw}#1}%
  \else
    \addcontentsline{toc}{part}{#1}%
  \fi
  \markboth{}{}%
  {\parindent\z@
    \raggedright
    \interlinepenalty \@M
    \normalfont
    \ifnum \c@secnumdepth >\m@ne
      \Large\headfont\prepartname\thepart\postpartname
      \par\nobreak
    \fi
    \huge \headfont #2%
    \markboth{}{}\par}%
  \nobreak
  \vskip 3ex
  \@afterheading}
\def\@spart#1{{%
    \parindent \z@ \raggedright
    \interlinepenalty \@M
    \normalfont
    \huge \headfont #1\par}%
  \nobreak
  \vskip 3ex
  \@afterheading}
\if@twocolumn
  \newcommand{\section}{%
    \@startsection{section}{1}{\z@}%
    {0.6\Cvs}{0.4\Cvs}%
    {\normalfont\large\headfont\raggedright}}
\else
  \newcommand{\section}{%
    \if@slide\clearpage\fi
    \@startsection{section}{1}{\z@}%
    {\Cvs \@plus.5\Cdp \@minus.2\Cdp}% $BA0%"%-(B
    {.5\Cvs \@plus.3\Cdp}% $B8e%"%-(B
%    {\normalfont\Large\headfont\raggedright}}
    {\bfseries\normalsize\headfont\raggedright}}  
\fi
\if@twocolumn
  \newcommand{\subsection}{\@startsection{subsection}{2}{\z@}%
    {\z@}{\if@slide .4\Cvs \else \z@ \fi}%
    {\normalfont\normalsize\headfont}}
\else
  \newcommand{\subsection}{\@startsection{subsection}{2}{\z@}%
    {\Cvs \@plus.5\Cdp \@minus.2\Cdp}% $BA0%"%-(B
    {.5\Cvs \@plus.3\Cdp}% $B8e%"%-(B
%    {\normalfont\large\headfont}}
    {\bfseries\normalsize\headfont}}  
\fi
\if@twocolumn
  \newcommand{\subsubsection}{\@startsection{subsubsection}{3}{\z@}%
    {\z@}{\if@slide .4\Cvs \else \z@ \fi}%
    {\normalfont\normalsize\headfont}}
\else
  \newcommand{\subsubsection}{\@startsection{subsubsection}{3}{\z@}%
    {\Cvs \@plus.5\Cdp \@minus.2\Cdp}%
    {\if@slide .5\Cvs \@plus.3\Cdp \else \z@ \fi}%
%    {\normalfont\normalsize\headfont}}
    {\bfseries\normalsize\headfont}}    
\fi
\newcommand{\jsParagraphMark}{$B"#(B}
\if@twocolumn
  \newcommand{\paragraph}{\@startsection{paragraph}{4}{\z@}%
    {\z@}{\if@slide .4\Cvs \else -1zw\fi}% $B2~9T$;$:(B 1zw $B$N%"%-(B
    {\normalfont\normalsize\headfont\jsParagraphMark}}
\else
  \newcommand{\paragraph}{\@startsection{paragraph}{4}{\z@}%
    {0.5\Cvs \@plus.5\Cdp \@minus.2\Cdp}%
    {\if@slide .5\Cvs \@plus.3\Cdp \else -1zw\fi}% $B2~9T$;$:(B 1zw $B$N%"%-(B
    {\normalfont\normalsize\headfont\jsParagraphMark}}
\fi
\if@twocolumn
  \newcommand{\subparagraph}{\@startsection{subparagraph}{5}{\z@}%
    {\z@}{\if@slide .4\Cvs \@plus.3\Cdp \else -1zw\fi}%
    {\normalfont\normalsize\headfont}}
\else
  \newcommand{\subparagraph}{\@startsection{subparagraph}{5}{\z@}%
    {\z@}{\if@slide .5\Cvs \@plus.3\Cdp \else -1zw\fi}%
    {\normalfont\normalsize\headfont}}
\fi
