iccsa-20-wind

Virtual Testbed: Simulation of Air Flow Around Ship Hull and Its Effect on Ship Motions
git clone https://git.igankevich.com/iccsa-20-wind.git
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llncs.cls (43467B)


      1 % LLNCS DOCUMENT CLASS -- version 2.20 (10-Mar-2018)
      2 % Springer Verlag LaTeX2e support for Lecture Notes in Computer Science
      3 %
      4 %%
      5 %% \CharacterTable
      6 %%  {Upper-case    \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
      7 %%   Lower-case    \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
      8 %%   Digits        \0\1\2\3\4\5\6\7\8\9
      9 %%   Exclamation   \!     Double quote  \"     Hash (number) \#
     10 %%   Dollar        \$     Percent       \%     Ampersand     \&
     11 %%   Acute accent  \'     Left paren    \(     Right paren   \)
     12 %%   Asterisk      \*     Plus          \+     Comma         \,
     13 %%   Minus         \-     Point         \.     Solidus       \/
     14 %%   Colon         \:     Semicolon     \;     Less than     \<
     15 %%   Equals        \=     Greater than  \>     Question mark \?
     16 %%   Commercial at \@     Left bracket  \[     Backslash     \\
     17 %%   Right bracket \]     Circumflex    \^     Underscore    \_
     18 %%   Grave accent  \`     Left brace    \{     Vertical bar  \|
     19 %%   Right brace   \}     Tilde         \~}
     20 %%
     21 \NeedsTeXFormat{LaTeX2e}[1995/12/01]
     22 \ProvidesClass{llncs}[2018/03/10 v2.20
     23 ^^J LaTeX document class for Lecture Notes in Computer Science]
     24 % Options
     25 \let\if@envcntreset\iffalse
     26 \DeclareOption{envcountreset}{\let\if@envcntreset\iftrue}
     27 \DeclareOption{citeauthoryear}{\let\citeauthoryear=Y}
     28 \DeclareOption{oribibl}{\let\oribibl=Y}
     29 \let\if@custvec\iftrue
     30 \DeclareOption{orivec}{\let\if@custvec\iffalse}
     31 \let\if@envcntsame\iffalse
     32 \DeclareOption{envcountsame}{\let\if@envcntsame\iftrue}
     33 \let\if@envcntsect\iffalse
     34 \DeclareOption{envcountsect}{\let\if@envcntsect\iftrue}
     35 \let\if@runhead\iffalse
     36 \DeclareOption{runningheads}{\let\if@runhead\iftrue}
     37 
     38 \let\if@openright\iftrue
     39 \let\if@openbib\iffalse
     40 \DeclareOption{openbib}{\let\if@openbib\iftrue}
     41 
     42 % languages
     43 \let\switcht@@therlang\relax
     44 \def\ds@deutsch{\def\switcht@@therlang{\switcht@deutsch}}
     45 \def\ds@francais{\def\switcht@@therlang{\switcht@francais}}
     46 
     47 \DeclareOption*{\PassOptionsToClass{\CurrentOption}{article}}
     48 
     49 \ProcessOptions
     50 
     51 \LoadClass[twoside]{article}
     52 \RequirePackage{multicol} % needed for the list of participants, index
     53 \RequirePackage{aliascnt}
     54 
     55 \setlength{\textwidth}{12.2cm}
     56 \setlength{\textheight}{19.3cm}
     57 \renewcommand\@pnumwidth{2em}
     58 \renewcommand\@tocrmarg{3.5em}
     59 %
     60 \def\@dottedtocline#1#2#3#4#5{%
     61   \ifnum #1>\c@tocdepth \else
     62     \vskip \z@ \@plus.2\p@
     63     {\leftskip #2\relax \rightskip \@tocrmarg \advance\rightskip by 0pt plus 2cm
     64                \parfillskip -\rightskip \pretolerance=10000
     65      \parindent #2\relax\@afterindenttrue
     66      \interlinepenalty\@M
     67      \leavevmode
     68      \@tempdima #3\relax
     69      \advance\leftskip \@tempdima \null\nobreak\hskip -\leftskip
     70      {#4}\nobreak
     71      \leaders\hbox{$\m@th
     72         \mkern \@dotsep mu\hbox{.}\mkern \@dotsep
     73         mu$}\hfill
     74      \nobreak
     75      \hb@xt@\@pnumwidth{\hfil\normalfont \normalcolor #5}%
     76      \par}%
     77   \fi}
     78 %
     79 \def\switcht@albion{%
     80 \def\abstractname{Abstract.}
     81 \def\ackname{Acknowledgement.}
     82 \def\andname{and}
     83 \def\lastandname{\unskip, and}
     84 \def\appendixname{Appendix}
     85 \def\chaptername{Chapter}
     86 \def\claimname{Claim}
     87 \def\conjecturename{Conjecture}
     88 \def\contentsname{Table of Contents}
     89 \def\corollaryname{Corollary}
     90 \def\definitionname{Definition}
     91 \def\examplename{Example}
     92 \def\exercisename{Exercise}
     93 \def\figurename{Fig.}
     94 \def\keywordname{{\bf Keywords:}}
     95 \def\indexname{Index}
     96 \def\lemmaname{Lemma}
     97 \def\contriblistname{List of Contributors}
     98 \def\listfigurename{List of Figures}
     99 \def\listtablename{List of Tables}
    100 \def\mailname{{\it Correspondence to\/}:}
    101 \def\noteaddname{Note added in proof}
    102 \def\notename{Note}
    103 \def\partname{Part}
    104 \def\problemname{Problem}
    105 \def\proofname{Proof}
    106 \def\propertyname{Property}
    107 \def\propositionname{Proposition}
    108 \def\questionname{Question}
    109 \def\remarkname{Remark}
    110 \def\seename{see}
    111 \def\solutionname{Solution}
    112 \def\subclassname{{\it Subject Classifications\/}:}
    113 \def\tablename{Table}
    114 \def\theoremname{Theorem}}
    115 \switcht@albion
    116 % Names of theorem like environments are already defined
    117 % but must be translated if another language is chosen
    118 %
    119 % French section
    120 \def\switcht@francais{%\typeout{On parle francais.}%
    121  \def\abstractname{R\'esum\'e.}%
    122  \def\ackname{Remerciements.}%
    123  \def\andname{et}%
    124  \def\lastandname{ et}%
    125  \def\appendixname{Appendice}
    126  \def\chaptername{Chapitre}%
    127  \def\claimname{Pr\'etention}%
    128  \def\conjecturename{Hypoth\`ese}%
    129  \def\contentsname{Table des mati\`eres}%
    130  \def\corollaryname{Corollaire}%
    131  \def\definitionname{D\'efinition}%
    132  \def\examplename{Exemple}%
    133  \def\exercisename{Exercice}%
    134  \def\figurename{Fig.}%
    135  \def\keywordname{{\bf Mots-cl\'e:}}
    136  \def\indexname{Index}
    137  \def\lemmaname{Lemme}%
    138  \def\contriblistname{Liste des contributeurs}
    139  \def\listfigurename{Liste des figures}%
    140  \def\listtablename{Liste des tables}%
    141  \def\mailname{{\it Correspondence to\/}:}
    142  \def\noteaddname{Note ajout\'ee \`a l'\'epreuve}%
    143  \def\notename{Remarque}%
    144  \def\partname{Partie}%
    145  \def\problemname{Probl\`eme}%
    146  \def\proofname{Preuve}%
    147  \def\propertyname{Caract\'eristique}%
    148 %\def\propositionname{Proposition}%
    149  \def\questionname{Question}%
    150  \def\remarkname{Remarque}%
    151  \def\seename{voir}
    152  \def\solutionname{Solution}%
    153  \def\subclassname{{\it Subject Classifications\/}:}
    154  \def\tablename{Tableau}%
    155  \def\theoremname{Th\'eor\`eme}%
    156 }
    157 %
    158 % German section
    159 \def\switcht@deutsch{%\typeout{Man spricht deutsch.}%
    160  \def\abstractname{Zusammenfassung.}%
    161  \def\ackname{Danksagung.}%
    162  \def\andname{und}%
    163  \def\lastandname{ und}%
    164  \def\appendixname{Anhang}%
    165  \def\chaptername{Kapitel}%
    166  \def\claimname{Behauptung}%
    167  \def\conjecturename{Hypothese}%
    168  \def\contentsname{Inhaltsverzeichnis}%
    169  \def\corollaryname{Korollar}%
    170 %\def\definitionname{Definition}%
    171  \def\examplename{Beispiel}%
    172  \def\exercisename{\"Ubung}%
    173  \def\figurename{Abb.}%
    174  \def\keywordname{{\bf Schl\"usselw\"orter:}}
    175  \def\indexname{Index}
    176 %\def\lemmaname{Lemma}%
    177  \def\contriblistname{Mitarbeiter}
    178  \def\listfigurename{Abbildungsverzeichnis}%
    179  \def\listtablename{Tabellenverzeichnis}%
    180  \def\mailname{{\it Correspondence to\/}:}
    181  \def\noteaddname{Nachtrag}%
    182  \def\notename{Anmerkung}%
    183  \def\partname{Teil}%
    184 %\def\problemname{Problem}%
    185  \def\proofname{Beweis}%
    186  \def\propertyname{Eigenschaft}%
    187 %\def\propositionname{Proposition}%
    188  \def\questionname{Frage}%
    189  \def\remarkname{Anmerkung}%
    190  \def\seename{siehe}
    191  \def\solutionname{L\"osung}%
    192  \def\subclassname{{\it Subject Classifications\/}:}
    193  \def\tablename{Tabelle}%
    194 %\def\theoremname{Theorem}%
    195 }
    196 
    197 % Ragged bottom for the actual page
    198 \def\thisbottomragged{\def\@textbottom{\vskip\z@ plus.0001fil
    199 \global\let\@textbottom\relax}}
    200 
    201 \renewcommand\small{%
    202    \@setfontsize\small\@ixpt{11}%
    203    \abovedisplayskip 8.5\p@ \@plus3\p@ \@minus4\p@
    204    \abovedisplayshortskip \z@ \@plus2\p@
    205    \belowdisplayshortskip 4\p@ \@plus2\p@ \@minus2\p@
    206    \def\@listi{\leftmargin\leftmargini
    207                \parsep 0\p@ \@plus1\p@ \@minus\p@
    208                \topsep 8\p@ \@plus2\p@ \@minus4\p@
    209                \itemsep0\p@}%
    210    \belowdisplayskip \abovedisplayskip
    211 }
    212 
    213 \frenchspacing
    214 \widowpenalty=10000
    215 \clubpenalty=10000
    216 
    217 \setlength\oddsidemargin   {63\p@}
    218 \setlength\evensidemargin  {63\p@}
    219 \setlength\marginparwidth  {90\p@}
    220 
    221 \setlength\headsep   {16\p@}
    222 
    223 \setlength\footnotesep{7.7\p@}
    224 \setlength\textfloatsep{8mm\@plus 2\p@ \@minus 4\p@}
    225 \setlength\intextsep   {8mm\@plus 2\p@ \@minus 2\p@}
    226 
    227 \setcounter{secnumdepth}{2}
    228 
    229 \newcounter {chapter}
    230 \renewcommand\thechapter      {\@arabic\c@chapter}
    231 
    232 \newif\if@mainmatter \@mainmattertrue
    233 \newcommand\frontmatter{\cleardoublepage
    234             \@mainmatterfalse\pagenumbering{Roman}}
    235 \newcommand\mainmatter{\cleardoublepage
    236        \@mainmattertrue\pagenumbering{arabic}}
    237 \newcommand\backmatter{\if@openright\cleardoublepage\else\clearpage\fi
    238       \@mainmatterfalse}
    239 
    240 \renewcommand\part{\cleardoublepage
    241                  \thispagestyle{empty}%
    242                  \if@twocolumn
    243                      \onecolumn
    244                      \@tempswatrue
    245                    \else
    246                      \@tempswafalse
    247                  \fi
    248                  \null\vfil
    249                  \secdef\@part\@spart}
    250 
    251 \def\@part[#1]#2{%
    252     \ifnum \c@secnumdepth >-2\relax
    253       \refstepcounter{part}%
    254       \addcontentsline{toc}{part}{\thepart\hspace{1em}#1}%
    255     \else
    256       \addcontentsline{toc}{part}{#1}%
    257     \fi
    258     \markboth{}{}%
    259     {\centering
    260      \interlinepenalty \@M
    261      \normalfont
    262      \ifnum \c@secnumdepth >-2\relax
    263        \huge\bfseries \partname~\thepart
    264        \par
    265        \vskip 20\p@
    266      \fi
    267      \Huge \bfseries #2\par}%
    268     \@endpart}
    269 \def\@spart#1{%
    270     {\centering
    271      \interlinepenalty \@M
    272      \normalfont
    273      \Huge \bfseries #1\par}%
    274     \@endpart}
    275 \def\@endpart{\vfil\newpage
    276               \if@twoside
    277                 \null
    278                 \thispagestyle{empty}%
    279                 \newpage
    280               \fi
    281               \if@tempswa
    282                 \twocolumn
    283               \fi}
    284 
    285 \newcommand\chapter{\clearpage
    286                     \thispagestyle{empty}%
    287                     \global\@topnum\z@
    288                     \@afterindentfalse
    289                     \secdef\@chapter\@schapter}
    290 \def\@chapter[#1]#2{\ifnum \c@secnumdepth >\m@ne
    291                        \if@mainmatter
    292                          \refstepcounter{chapter}%
    293                          \typeout{\@chapapp\space\thechapter.}%
    294                          \addcontentsline{toc}{chapter}%
    295                                   {\protect\numberline{\thechapter}#1}%
    296                        \else
    297                          \addcontentsline{toc}{chapter}{#1}%
    298                        \fi
    299                     \else
    300                       \addcontentsline{toc}{chapter}{#1}%
    301                     \fi
    302                     \chaptermark{#1}%
    303                     \addtocontents{lof}{\protect\addvspace{10\p@}}%
    304                     \addtocontents{lot}{\protect\addvspace{10\p@}}%
    305                     \if@twocolumn
    306                       \@topnewpage[\@makechapterhead{#2}]%
    307                     \else
    308                       \@makechapterhead{#2}%
    309                       \@afterheading
    310                     \fi}
    311 \def\@makechapterhead#1{%
    312 % \vspace*{50\p@}%
    313   {\centering
    314     \ifnum \c@secnumdepth >\m@ne
    315       \if@mainmatter
    316         \large\bfseries \@chapapp{} \thechapter
    317         \par\nobreak
    318         \vskip 20\p@
    319       \fi
    320     \fi
    321     \interlinepenalty\@M
    322     \Large \bfseries #1\par\nobreak
    323     \vskip 40\p@
    324   }}
    325 \def\@schapter#1{\if@twocolumn
    326                    \@topnewpage[\@makeschapterhead{#1}]%
    327                  \else
    328                    \@makeschapterhead{#1}%
    329                    \@afterheading
    330                  \fi}
    331 \def\@makeschapterhead#1{%
    332 % \vspace*{50\p@}%
    333   {\centering
    334     \normalfont
    335     \interlinepenalty\@M
    336     \Large \bfseries  #1\par\nobreak
    337     \vskip 40\p@
    338   }}
    339 
    340 \renewcommand\section{\@startsection{section}{1}{\z@}%
    341                        {-18\p@ \@plus -4\p@ \@minus -4\p@}%
    342                        {12\p@ \@plus 4\p@ \@minus 4\p@}%
    343                        {\normalfont\large\bfseries\boldmath
    344                         \rightskip=\z@ \@plus 8em\pretolerance=10000 }}
    345 \renewcommand\subsection{\@startsection{subsection}{2}{\z@}%
    346                        {-18\p@ \@plus -4\p@ \@minus -4\p@}%
    347                        {8\p@ \@plus 4\p@ \@minus 4\p@}%
    348                        {\normalfont\normalsize\bfseries\boldmath
    349                         \rightskip=\z@ \@plus 8em\pretolerance=10000 }}
    350 \renewcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}%
    351                        {-18\p@ \@plus -4\p@ \@minus -4\p@}%
    352                        {-0.5em \@plus -0.22em \@minus -0.1em}%
    353                        {\normalfont\normalsize\bfseries\boldmath}}
    354 \renewcommand\paragraph{\@startsection{paragraph}{4}{\z@}%
    355                        {-12\p@ \@plus -4\p@ \@minus -4\p@}%
    356                        {-0.5em \@plus -0.22em \@minus -0.1em}%
    357                        {\normalfont\normalsize\itshape}}
    358 \renewcommand\subparagraph[1]{\typeout{LLNCS warning: You should not use
    359                   \string\subparagraph\space with this class}\vskip0.5cm
    360 You should not use \verb|\subparagraph| with this class.\vskip0.5cm}
    361 
    362 \DeclareMathSymbol{\Gamma}{\mathalpha}{letters}{"00}
    363 \DeclareMathSymbol{\Delta}{\mathalpha}{letters}{"01}
    364 \DeclareMathSymbol{\Theta}{\mathalpha}{letters}{"02}
    365 \DeclareMathSymbol{\Lambda}{\mathalpha}{letters}{"03}
    366 \DeclareMathSymbol{\Xi}{\mathalpha}{letters}{"04}
    367 \DeclareMathSymbol{\Pi}{\mathalpha}{letters}{"05}
    368 \DeclareMathSymbol{\Sigma}{\mathalpha}{letters}{"06}
    369 \DeclareMathSymbol{\Upsilon}{\mathalpha}{letters}{"07}
    370 \DeclareMathSymbol{\Phi}{\mathalpha}{letters}{"08}
    371 \DeclareMathSymbol{\Psi}{\mathalpha}{letters}{"09}
    372 \DeclareMathSymbol{\Omega}{\mathalpha}{letters}{"0A}
    373 
    374 \let\footnotesize\small
    375 
    376 \if@custvec
    377 \def\vec#1{\mathchoice{\mbox{\boldmath$\displaystyle#1$}}
    378 {\mbox{\boldmath$\textstyle#1$}}
    379 {\mbox{\boldmath$\scriptstyle#1$}}
    380 {\mbox{\boldmath$\scriptscriptstyle#1$}}}
    381 \fi
    382 
    383 \def\squareforqed{\hbox{\rlap{$\sqcap$}$\sqcup$}}
    384 \def\qed{\ifmmode\squareforqed\else{\unskip\nobreak\hfil
    385 \penalty50\hskip1em\null\nobreak\hfil\squareforqed
    386 \parfillskip=0pt\finalhyphendemerits=0\endgraf}\fi}
    387 
    388 \def\getsto{\mathrel{\mathchoice {\vcenter{\offinterlineskip
    389 \halign{\hfil
    390 $\displaystyle##$\hfil\cr\gets\cr\to\cr}}}
    391 {\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr\gets
    392 \cr\to\cr}}}
    393 {\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr\gets
    394 \cr\to\cr}}}
    395 {\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr
    396 \gets\cr\to\cr}}}}}
    397 \def\lid{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil
    398 $\displaystyle##$\hfil\cr<\cr\noalign{\vskip1.2pt}=\cr}}}
    399 {\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr<\cr
    400 \noalign{\vskip1.2pt}=\cr}}}
    401 {\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr<\cr
    402 \noalign{\vskip1pt}=\cr}}}
    403 {\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr
    404 <\cr
    405 \noalign{\vskip0.9pt}=\cr}}}}}
    406 \def\gid{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil
    407 $\displaystyle##$\hfil\cr>\cr\noalign{\vskip1.2pt}=\cr}}}
    408 {\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr>\cr
    409 \noalign{\vskip1.2pt}=\cr}}}
    410 {\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr>\cr
    411 \noalign{\vskip1pt}=\cr}}}
    412 {\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr
    413 >\cr
    414 \noalign{\vskip0.9pt}=\cr}}}}}
    415 \def\grole{\mathrel{\mathchoice {\vcenter{\offinterlineskip
    416 \halign{\hfil
    417 $\displaystyle##$\hfil\cr>\cr\noalign{\vskip-1pt}<\cr}}}
    418 {\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr
    419 >\cr\noalign{\vskip-1pt}<\cr}}}
    420 {\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr
    421 >\cr\noalign{\vskip-0.8pt}<\cr}}}
    422 {\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr
    423 >\cr\noalign{\vskip-0.3pt}<\cr}}}}}
    424 \def\bbbr{{\rm I\!R}} %reelle Zahlen
    425 \def\bbbm{{\rm I\!M}}
    426 \def\bbbn{{\rm I\!N}} %natuerliche Zahlen
    427 \def\bbbf{{\rm I\!F}}
    428 \def\bbbh{{\rm I\!H}}
    429 \def\bbbk{{\rm I\!K}}
    430 \def\bbbp{{\rm I\!P}}
    431 \def\bbbone{{\mathchoice {\rm 1\mskip-4mu l} {\rm 1\mskip-4mu l}
    432 {\rm 1\mskip-4.5mu l} {\rm 1\mskip-5mu l}}}
    433 \def\bbbc{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm C$}\hbox{\hbox
    434 to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}
    435 {\setbox0=\hbox{$\textstyle\rm C$}\hbox{\hbox
    436 to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}
    437 {\setbox0=\hbox{$\scriptstyle\rm C$}\hbox{\hbox
    438 to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}
    439 {\setbox0=\hbox{$\scriptscriptstyle\rm C$}\hbox{\hbox
    440 to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}}}
    441 \def\bbbq{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm
    442 Q$}\hbox{\raise
    443 0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}}
    444 {\setbox0=\hbox{$\textstyle\rm Q$}\hbox{\raise
    445 0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}}
    446 {\setbox0=\hbox{$\scriptstyle\rm Q$}\hbox{\raise
    447 0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}}
    448 {\setbox0=\hbox{$\scriptscriptstyle\rm Q$}\hbox{\raise
    449 0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}}}}
    450 \def\bbbt{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm
    451 T$}\hbox{\hbox to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}
    452 {\setbox0=\hbox{$\textstyle\rm T$}\hbox{\hbox
    453 to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}
    454 {\setbox0=\hbox{$\scriptstyle\rm T$}\hbox{\hbox
    455 to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}
    456 {\setbox0=\hbox{$\scriptscriptstyle\rm T$}\hbox{\hbox
    457 to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}}}
    458 \def\bbbs{{\mathchoice
    459 {\setbox0=\hbox{$\displaystyle     \rm S$}\hbox{\raise0.5\ht0\hbox
    460 to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hbox
    461 to0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}}
    462 {\setbox0=\hbox{$\textstyle        \rm S$}\hbox{\raise0.5\ht0\hbox
    463 to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hbox
    464 to0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}}
    465 {\setbox0=\hbox{$\scriptstyle      \rm S$}\hbox{\raise0.5\ht0\hbox
    466 to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hbox
    467 to0pt{\kern0.5\wd0\vrule height0.45\ht0\hss}\box0}}
    468 {\setbox0=\hbox{$\scriptscriptstyle\rm S$}\hbox{\raise0.5\ht0\hbox
    469 to0pt{\kern0.4\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hbox
    470 to0pt{\kern0.55\wd0\vrule height0.45\ht0\hss}\box0}}}}
    471 \def\bbbz{{\mathchoice {\hbox{$\mathsf\textstyle Z\kern-0.4em Z$}}
    472 {\hbox{$\mathsf\textstyle Z\kern-0.4em Z$}}
    473 {\hbox{$\mathsf\scriptstyle Z\kern-0.3em Z$}}
    474 {\hbox{$\mathsf\scriptscriptstyle Z\kern-0.2em Z$}}}}
    475 
    476 \let\ts\,
    477 
    478 \setlength\leftmargini  {17\p@}
    479 \setlength\leftmargin    {\leftmargini}
    480 \setlength\leftmarginii  {\leftmargini}
    481 \setlength\leftmarginiii {\leftmargini}
    482 \setlength\leftmarginiv  {\leftmargini}
    483 \setlength  \labelsep  {.5em}
    484 \setlength  \labelwidth{\leftmargini}
    485 \addtolength\labelwidth{-\labelsep}
    486 
    487 \def\@listI{\leftmargin\leftmargini
    488             \parsep 0\p@ \@plus1\p@ \@minus\p@
    489             \topsep 8\p@ \@plus2\p@ \@minus4\p@
    490             \itemsep0\p@}
    491 \let\@listi\@listI
    492 \@listi
    493 \def\@listii {\leftmargin\leftmarginii
    494               \labelwidth\leftmarginii
    495               \advance\labelwidth-\labelsep
    496               \topsep    0\p@ \@plus2\p@ \@minus\p@}
    497 \def\@listiii{\leftmargin\leftmarginiii
    498               \labelwidth\leftmarginiii
    499               \advance\labelwidth-\labelsep
    500               \topsep    0\p@ \@plus\p@\@minus\p@
    501               \parsep    \z@
    502               \partopsep \p@ \@plus\z@ \@minus\p@}
    503 
    504 \renewcommand\labelitemi{\normalfont\bfseries --}
    505 \renewcommand\labelitemii{$\m@th\bullet$}
    506 
    507 \setlength\arraycolsep{1.4\p@}
    508 \setlength\tabcolsep{1.4\p@}
    509 
    510 \def\tableofcontents{\chapter*{\contentsname\@mkboth{{\contentsname}}%
    511                                                     {{\contentsname}}}
    512  \def\authcount##1{\setcounter{auco}{##1}\setcounter{@auth}{1}}
    513  \def\lastand{\ifnum\value{auco}=2\relax
    514                  \unskip{} \andname\
    515               \else
    516                  \unskip \lastandname\
    517               \fi}%
    518  \def\and{\stepcounter{@auth}\relax
    519           \ifnum\value{@auth}=\value{auco}%
    520              \lastand
    521           \else
    522              \unskip,
    523           \fi}%
    524  \@starttoc{toc}\if@restonecol\twocolumn\fi}
    525 
    526 \def\l@part#1#2{\addpenalty{\@secpenalty}%
    527    \addvspace{2em plus\p@}%  % space above part line
    528    \begingroup
    529      \parindent \z@
    530      \rightskip \z@ plus 5em
    531      \hrule\vskip5pt
    532      \large               % same size as for a contribution heading
    533      \bfseries\boldmath   % set line in boldface
    534      \leavevmode          % TeX command to enter horizontal mode.
    535      #1\par
    536      \vskip5pt
    537      \hrule
    538      \vskip1pt
    539      \nobreak             % Never break after part entry
    540    \endgroup}
    541 
    542 \def\@dotsep{2}
    543 
    544 \let\phantomsection=\relax
    545 
    546 \def\hyperhrefextend{\ifx\hyper@anchor\@undefined\else
    547 {}\fi}
    548 
    549 \def\addnumcontentsmark#1#2#3{%
    550 \addtocontents{#1}{\protect\contentsline{#2}{\protect\numberline
    551                      {\thechapter}#3}{\thepage}\hyperhrefextend}}%
    552 \def\addcontentsmark#1#2#3{%
    553 \addtocontents{#1}{\protect\contentsline{#2}{#3}{\thepage}\hyperhrefextend}}%
    554 \def\addcontentsmarkwop#1#2#3{%
    555 \addtocontents{#1}{\protect\contentsline{#2}{#3}{0}\hyperhrefextend}}%
    556 
    557 \def\@adcmk[#1]{\ifcase #1 \or
    558 \def\@gtempa{\addnumcontentsmark}%
    559   \or    \def\@gtempa{\addcontentsmark}%
    560   \or    \def\@gtempa{\addcontentsmarkwop}%
    561   \fi\@gtempa{toc}{chapter}%
    562 }
    563 \def\addtocmark{%
    564 \phantomsection
    565 \@ifnextchar[{\@adcmk}{\@adcmk[3]}%
    566 }
    567 
    568 \def\l@chapter#1#2{\addpenalty{-\@highpenalty}
    569  \vskip 1.0em plus 1pt \@tempdima 1.5em \begingroup
    570  \parindent \z@ \rightskip \@tocrmarg
    571  \advance\rightskip by 0pt plus 2cm
    572  \parfillskip -\rightskip \pretolerance=10000
    573  \leavevmode \advance\leftskip\@tempdima \hskip -\leftskip
    574  {\large\bfseries\boldmath#1}\ifx0#2\hfil\null
    575  \else
    576       \nobreak
    577       \leaders\hbox{$\m@th \mkern \@dotsep mu.\mkern
    578       \@dotsep mu$}\hfill
    579       \nobreak\hbox to\@pnumwidth{\hss #2}%
    580  \fi\par
    581  \penalty\@highpenalty \endgroup}
    582 
    583 \def\l@title#1#2{\addpenalty{-\@highpenalty}
    584  \addvspace{8pt plus 1pt}
    585  \@tempdima \z@
    586  \begingroup
    587  \parindent \z@ \rightskip \@tocrmarg
    588  \advance\rightskip by 0pt plus 2cm
    589  \parfillskip -\rightskip \pretolerance=10000
    590  \leavevmode \advance\leftskip\@tempdima \hskip -\leftskip
    591  #1\nobreak
    592  \leaders\hbox{$\m@th \mkern \@dotsep mu.\mkern
    593  \@dotsep mu$}\hfill
    594  \nobreak\hbox to\@pnumwidth{\hss #2}\par
    595  \penalty\@highpenalty \endgroup}
    596 
    597 \def\l@author#1#2{\addpenalty{\@highpenalty}
    598  \@tempdima=15\p@ %\z@
    599  \begingroup
    600  \parindent \z@ \rightskip \@tocrmarg
    601  \advance\rightskip by 0pt plus 2cm
    602  \pretolerance=10000
    603  \leavevmode \advance\leftskip\@tempdima %\hskip -\leftskip
    604  \textit{#1}\par
    605  \penalty\@highpenalty \endgroup}
    606 
    607 \setcounter{tocdepth}{0}
    608 \newdimen\tocchpnum
    609 \newdimen\tocsecnum
    610 \newdimen\tocsectotal
    611 \newdimen\tocsubsecnum
    612 \newdimen\tocsubsectotal
    613 \newdimen\tocsubsubsecnum
    614 \newdimen\tocsubsubsectotal
    615 \newdimen\tocparanum
    616 \newdimen\tocparatotal
    617 \newdimen\tocsubparanum
    618 \tocchpnum=\z@            % no chapter numbers
    619 \tocsecnum=15\p@          % section 88. plus 2.222pt
    620 \tocsubsecnum=23\p@       % subsection 88.8 plus 2.222pt
    621 \tocsubsubsecnum=27\p@    % subsubsection 88.8.8 plus 1.444pt
    622 \tocparanum=35\p@         % paragraph 88.8.8.8 plus 1.666pt
    623 \tocsubparanum=43\p@      % subparagraph 88.8.8.8.8 plus 1.888pt
    624 \def\calctocindent{%
    625 \tocsectotal=\tocchpnum
    626 \advance\tocsectotal by\tocsecnum
    627 \tocsubsectotal=\tocsectotal
    628 \advance\tocsubsectotal by\tocsubsecnum
    629 \tocsubsubsectotal=\tocsubsectotal
    630 \advance\tocsubsubsectotal by\tocsubsubsecnum
    631 \tocparatotal=\tocsubsubsectotal
    632 \advance\tocparatotal by\tocparanum}
    633 \calctocindent
    634 
    635 \def\l@section{\@dottedtocline{1}{\tocchpnum}{\tocsecnum}}
    636 \def\l@subsection{\@dottedtocline{2}{\tocsectotal}{\tocsubsecnum}}
    637 \def\l@subsubsection{\@dottedtocline{3}{\tocsubsectotal}{\tocsubsubsecnum}}
    638 \def\l@paragraph{\@dottedtocline{4}{\tocsubsubsectotal}{\tocparanum}}
    639 \def\l@subparagraph{\@dottedtocline{5}{\tocparatotal}{\tocsubparanum}}
    640 
    641 \def\listoffigures{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn
    642  \fi\section*{\listfigurename\@mkboth{{\listfigurename}}{{\listfigurename}}}
    643  \@starttoc{lof}\if@restonecol\twocolumn\fi}
    644 \def\l@figure{\@dottedtocline{1}{0em}{1.5em}}
    645 
    646 \def\listoftables{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn
    647  \fi\section*{\listtablename\@mkboth{{\listtablename}}{{\listtablename}}}
    648  \@starttoc{lot}\if@restonecol\twocolumn\fi}
    649 \let\l@table\l@figure
    650 
    651 \renewcommand\listoffigures{%
    652     \section*{\listfigurename
    653       \@mkboth{\listfigurename}{\listfigurename}}%
    654     \@starttoc{lof}%
    655     }
    656 
    657 \renewcommand\listoftables{%
    658     \section*{\listtablename
    659       \@mkboth{\listtablename}{\listtablename}}%
    660     \@starttoc{lot}%
    661     }
    662 
    663 \ifx\oribibl\undefined
    664 \ifx\citeauthoryear\undefined
    665 \renewenvironment{thebibliography}[1]
    666      {\section*{\refname}
    667       \def\@biblabel##1{##1.}
    668       \small
    669       \list{\@biblabel{\@arabic\c@enumiv}}%
    670            {\settowidth\labelwidth{\@biblabel{#1}}%
    671             \leftmargin\labelwidth
    672             \advance\leftmargin\labelsep
    673             \if@openbib
    674               \advance\leftmargin\bibindent
    675               \itemindent -\bibindent
    676               \listparindent \itemindent
    677               \parsep \z@
    678             \fi
    679             \usecounter{enumiv}%
    680             \let\p@enumiv\@empty
    681             \renewcommand\theenumiv{\@arabic\c@enumiv}}%
    682       \if@openbib
    683         \renewcommand\newblock{\par}%
    684       \else
    685         \renewcommand\newblock{\hskip .11em \@plus.33em \@minus.07em}%
    686       \fi
    687       \sloppy\clubpenalty4000\widowpenalty4000%
    688       \sfcode`\.=\@m}
    689      {\def\@noitemerr
    690        {\@latex@warning{Empty `thebibliography' environment}}%
    691       \endlist}
    692 \def\@lbibitem[#1]#2{\item[{[#1]}\hfill]\if@filesw
    693      {\let\protect\noexpand\immediate
    694      \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces}
    695 \newcount\@tempcntc
    696 \def\@citex[#1]#2{\if@filesw\immediate\write\@auxout{\string\citation{#2}}\fi
    697   \@tempcnta\z@\@tempcntb\m@ne\def\@citea{}\@cite{\@for\@citeb:=#2\do
    698     {\@ifundefined
    699        {b@\@citeb}{\@citeo\@tempcntb\m@ne\@citea\def\@citea{,}{\bfseries
    700         ?}\@warning
    701        {Citation `\@citeb' on page \thepage \space undefined}}%
    702     {\setbox\z@\hbox{\global\@tempcntc0\csname b@\@citeb\endcsname\relax}%
    703      \ifnum\@tempcntc=\z@ \@citeo\@tempcntb\m@ne
    704        \@citea\def\@citea{,}\hbox{\csname b@\@citeb\endcsname}%
    705      \else
    706       \advance\@tempcntb\@ne
    707       \ifnum\@tempcntb=\@tempcntc
    708       \else\advance\@tempcntb\m@ne\@citeo
    709       \@tempcnta\@tempcntc\@tempcntb\@tempcntc\fi\fi}}\@citeo}{#1}}
    710 \def\@citeo{\ifnum\@tempcnta>\@tempcntb\else
    711                \@citea\def\@citea{,\,\hskip\z@skip}%
    712                \ifnum\@tempcnta=\@tempcntb\the\@tempcnta\else
    713                {\advance\@tempcnta\@ne\ifnum\@tempcnta=\@tempcntb \else
    714                 \def\@citea{--}\fi
    715       \advance\@tempcnta\m@ne\the\@tempcnta\@citea\the\@tempcntb}\fi\fi}
    716 \else
    717 \renewenvironment{thebibliography}[1]
    718      {\section*{\refname}
    719       \small
    720       \list{}%
    721            {\settowidth\labelwidth{}%
    722             \leftmargin\parindent
    723             \itemindent=-\parindent
    724             \labelsep=\z@
    725             \if@openbib
    726               \advance\leftmargin\bibindent
    727               \itemindent -\bibindent
    728               \listparindent \itemindent
    729               \parsep \z@
    730             \fi
    731             \usecounter{enumiv}%
    732             \let\p@enumiv\@empty
    733             \renewcommand\theenumiv{}}%
    734       \if@openbib
    735         \renewcommand\newblock{\par}%
    736       \else
    737         \renewcommand\newblock{\hskip .11em \@plus.33em \@minus.07em}%
    738       \fi
    739       \sloppy\clubpenalty4000\widowpenalty4000%
    740       \sfcode`\.=\@m}
    741      {\def\@noitemerr
    742        {\@latex@warning{Empty `thebibliography' environment}}%
    743       \endlist}
    744       \def\@cite#1{#1}%
    745       \def\@lbibitem[#1]#2{\item[]\if@filesw
    746         {\def\protect##1{\string ##1\space}\immediate
    747       \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces}
    748    \fi
    749 \else
    750 \@cons\@openbib@code{\noexpand\small}
    751 \fi
    752 
    753 \def\idxquad{\hskip 10\p@}% space that divides entry from number
    754 
    755 \def\@idxitem{\par\hangindent 10\p@}
    756 
    757 \def\subitem{\par\setbox0=\hbox{--\enspace}% second order
    758                 \noindent\hangindent\wd0\box0}% index entry
    759 
    760 \def\subsubitem{\par\setbox0=\hbox{--\,--\enspace}% third
    761                 \noindent\hangindent\wd0\box0}% order index entry
    762 
    763 \def\indexspace{\par \vskip 10\p@ plus5\p@ minus3\p@\relax}
    764 
    765 \renewenvironment{theindex}
    766                {\@mkboth{\indexname}{\indexname}%
    767                 \thispagestyle{empty}\parindent\z@
    768                 \parskip\z@ \@plus .3\p@\relax
    769                 \let\item\par
    770                 \def\,{\relax\ifmmode\mskip\thinmuskip
    771                              \else\hskip0.2em\ignorespaces\fi}%
    772                 \normalfont\small
    773                 \begin{multicols}{2}[\@makeschapterhead{\indexname}]%
    774                 }
    775                 {\end{multicols}}
    776 
    777 \renewcommand\footnoterule{%
    778   \kern-3\p@
    779   \hrule\@width 2truecm
    780   \kern2.6\p@}
    781   \newdimen\fnindent
    782   \fnindent1em
    783 \long\def\@makefntext#1{%
    784     \parindent \fnindent%
    785     \leftskip \fnindent%
    786     \noindent
    787     \llap{\hb@xt@1em{\hss\@makefnmark\ }}\ignorespaces#1}
    788 
    789 \long\def\@makecaption#1#2{%
    790   \small
    791   \vskip\abovecaptionskip
    792   \sbox\@tempboxa{{\bfseries #1.} #2}%
    793   \ifdim \wd\@tempboxa >\hsize
    794     {\bfseries #1.} #2\par
    795   \else
    796     \global \@minipagefalse
    797     \hb@xt@\hsize{\hfil\box\@tempboxa\hfil}%
    798   \fi
    799   \vskip\belowcaptionskip}
    800 
    801 \def\fps@figure{htbp}
    802 \def\fnum@figure{\figurename\thinspace\thefigure}
    803 \def \@floatboxreset {%
    804         \reset@font
    805         \small
    806         \@setnobreak
    807         \@setminipage
    808 }
    809 \def\fps@table{htbp}
    810 \def\fnum@table{\tablename~\thetable}
    811 \renewenvironment{table}
    812                {\setlength\abovecaptionskip{0\p@}%
    813                 \setlength\belowcaptionskip{10\p@}%
    814                 \@float{table}}
    815                {\end@float}
    816 \renewenvironment{table*}
    817                {\setlength\abovecaptionskip{0\p@}%
    818                 \setlength\belowcaptionskip{10\p@}%
    819                 \@dblfloat{table}}
    820                {\end@dblfloat}
    821 
    822 \long\def\@caption#1[#2]#3{\par\addcontentsline{\csname
    823   ext@#1\endcsname}{#1}{\protect\numberline{\csname
    824   the#1\endcsname}{\ignorespaces #2}}\begingroup
    825     \@parboxrestore
    826     \@makecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\par
    827   \endgroup}
    828 
    829 % LaTeX does not provide a command to enter the authors institute
    830 % addresses. The \institute command is defined here.
    831 
    832 \newcounter{@inst}
    833 \newcounter{@auth}
    834 \newcounter{auco}
    835 \newdimen\instindent
    836 \newbox\authrun
    837 \newtoks\authorrunning
    838 \newtoks\tocauthor
    839 \newbox\titrun
    840 \newtoks\titlerunning
    841 \newtoks\toctitle
    842 
    843 \def\clearheadinfo{\gdef\@author{No Author Given}%
    844                    \gdef\@title{No Title Given}%
    845                    \gdef\@subtitle{}%
    846                    \gdef\@institute{No Institute Given}%
    847                    \gdef\@thanks{}%
    848                    \global\titlerunning={}\global\authorrunning={}%
    849                    \global\toctitle={}\global\tocauthor={}}
    850 
    851 \def\institute#1{\gdef\@institute{#1}}
    852 
    853 \def\institutename{\par
    854  \begingroup
    855  \parskip=\z@
    856  \parindent=\z@
    857  \setcounter{@inst}{1}%
    858  \def\and{\par\stepcounter{@inst}%
    859  \noindent$^{\the@inst}$\enspace\ignorespaces}%
    860  \setbox0=\vbox{\def\thanks##1{}\@institute}%
    861  \ifnum\c@@inst=1\relax
    862    \gdef\fnnstart{0}%
    863  \else
    864    \xdef\fnnstart{\c@@inst}%
    865    \setcounter{@inst}{1}%
    866    \noindent$^{\the@inst}$\enspace
    867  \fi
    868  \ignorespaces
    869  \@institute\par
    870  \endgroup}
    871 
    872 \def\@fnsymbol#1{\ensuremath{\ifcase#1\or\star\or{\star\star}\or
    873    {\star\star\star}\or \dagger\or \ddagger\or
    874    \mathchar "278\or \mathchar "27B\or \|\or **\or \dagger\dagger
    875    \or \ddagger\ddagger \else\@ctrerr\fi}}
    876 
    877 \def\inst#1{\unskip$^{#1}$}
    878 \def\orcidID#1{\unskip$^{[#1]}$} % added MR 2018-03-10
    879 \def\fnmsep{\unskip$^,$}
    880 \def\email#1{{\tt#1}}
    881 
    882 \AtBeginDocument{\@ifundefined{url}{\def\url#1{#1}}{}%
    883 \@ifpackageloaded{babel}{%
    884 \@ifundefined{extrasenglish}{}{\addto\extrasenglish{\switcht@albion}}%
    885 \@ifundefined{extrasfrenchb}{}{\addto\extrasfrenchb{\switcht@francais}}%
    886 \@ifundefined{extrasgerman}{}{\addto\extrasgerman{\switcht@deutsch}}%
    887 \@ifundefined{extrasngerman}{}{\addto\extrasngerman{\switcht@deutsch}}%
    888 }{\switcht@@therlang}%
    889 \providecommand{\keywords}[1]{\def\and{{\textperiodcentered} }%
    890 \par\addvspace\baselineskip
    891 \noindent\keywordname\enspace\ignorespaces#1}%
    892 \@ifpackageloaded{hyperref}{%
    893 \def\doi#1{\href{https://doi.org/#1}{https://doi.org/#1}}}{
    894 \def\doi#1{https://doi.org/#1}}
    895 }
    896 \def\homedir{\~{ }}
    897 
    898 \def\subtitle#1{\gdef\@subtitle{#1}}
    899 \clearheadinfo
    900 %
    901 %%% to avoid hyperref warnings
    902 \providecommand*{\toclevel@author}{999}
    903 %%% to make title-entry parent of section-entries
    904 \providecommand*{\toclevel@title}{0}
    905 %
    906 \renewcommand\maketitle{\newpage
    907 \phantomsection
    908   \refstepcounter{chapter}%
    909   \stepcounter{section}%
    910   \setcounter{section}{0}%
    911   \setcounter{subsection}{0}%
    912   \setcounter{figure}{0}
    913   \setcounter{table}{0}
    914   \setcounter{equation}{0}
    915   \setcounter{footnote}{0}%
    916   \begingroup
    917     \parindent=\z@
    918     \renewcommand\thefootnote{\@fnsymbol\c@footnote}%
    919     \if@twocolumn
    920       \ifnum \col@number=\@ne
    921         \@maketitle
    922       \else
    923         \twocolumn[\@maketitle]%
    924       \fi
    925     \else
    926       \newpage
    927       \global\@topnum\z@   % Prevents figures from going at top of page.
    928       \@maketitle
    929     \fi
    930     \thispagestyle{empty}\@thanks
    931 %
    932     \def\\{\unskip\ \ignorespaces}\def\inst##1{\unskip{}}%
    933     \def\thanks##1{\unskip{}}\def\fnmsep{\unskip}%
    934     \instindent=\hsize
    935     \advance\instindent by-\headlineindent
    936     \if!\the\toctitle!\addcontentsline{toc}{title}{\@title}\else
    937        \addcontentsline{toc}{title}{\the\toctitle}\fi
    938     \if@runhead
    939        \if!\the\titlerunning!\else
    940          \edef\@title{\the\titlerunning}%
    941        \fi
    942        \global\setbox\titrun=\hbox{\small\rm\unboldmath\ignorespaces\@title}%
    943        \ifdim\wd\titrun>\instindent
    944           \typeout{Title too long for running head. Please supply}%
    945           \typeout{a shorter form with \string\titlerunning\space prior to
    946                    \string\maketitle}%
    947           \global\setbox\titrun=\hbox{\small\rm
    948           Title Suppressed Due to Excessive Length}%
    949        \fi
    950        \xdef\@title{\copy\titrun}%
    951     \fi
    952 %
    953     \if!\the\tocauthor!\relax
    954       {\def\and{\noexpand\protect\noexpand\and}%
    955        \def\inst##1{}%    added MR 2017-09-20 to remove inst numbers from the TOC
    956        \def\orcidID##1{}% added MR 2017-09-20 to remove ORCID ids from the TOC
    957       \protected@xdef\toc@uthor{\@author}}%
    958     \else
    959       \def\\{\noexpand\protect\noexpand\newline}%
    960       \protected@xdef\scratch{\the\tocauthor}%
    961       \protected@xdef\toc@uthor{\scratch}%
    962     \fi
    963     \addtocontents{toc}{\noexpand\protect\noexpand\authcount{\the\c@auco}}%
    964     \addcontentsline{toc}{author}{\toc@uthor}%
    965     \if@runhead
    966        \if!\the\authorrunning!
    967          \value{@inst}=\value{@auth}%
    968          \setcounter{@auth}{1}%
    969        \else
    970          \edef\@author{\the\authorrunning}%
    971        \fi
    972        \global\setbox\authrun=\hbox{\def\inst##1{}%    added MR 2017-09-20 to remove inst numbers from the runninghead
    973                                     \def\orcidID##1{}% added MR 2017-09-20 to remove ORCID ids from the runninghead
    974                                     \small\unboldmath\@author\unskip}%
    975        \ifdim\wd\authrun>\instindent
    976           \typeout{Names of authors too long for running head. Please supply}%
    977           \typeout{a shorter form with \string\authorrunning\space prior to
    978                    \string\maketitle}%
    979           \global\setbox\authrun=\hbox{\small\rm
    980           Authors Suppressed Due to Excessive Length}%
    981        \fi
    982        \xdef\@author{\copy\authrun}%
    983        \markboth{\@author}{\@title}%
    984      \fi
    985   \endgroup
    986   \setcounter{footnote}{\fnnstart}%
    987   \clearheadinfo}
    988 %
    989 \def\@maketitle{\newpage
    990  \markboth{}{}%
    991  \def\lastand{\ifnum\value{@inst}=2\relax
    992                  \unskip{} \andname\
    993               \else
    994                  \unskip \lastandname\
    995               \fi}%
    996  \def\and{\stepcounter{@auth}\relax
    997           \ifnum\value{@auth}=\value{@inst}%
    998              \lastand
    999           \else
   1000              \unskip,
   1001           \fi}%
   1002  \begin{center}%
   1003  \let\newline\\
   1004  {\Large \bfseries\boldmath
   1005   \pretolerance=10000
   1006   \@title \par}\vskip .8cm
   1007 \if!\@subtitle!\else {\large \bfseries\boldmath
   1008   \vskip -.65cm
   1009   \pretolerance=10000
   1010   \@subtitle \par}\vskip .8cm\fi
   1011  \setbox0=\vbox{\setcounter{@auth}{1}\def\and{\stepcounter{@auth}}%
   1012  \def\thanks##1{}\@author}%
   1013  \global\value{@inst}=\value{@auth}%
   1014  \global\value{auco}=\value{@auth}%
   1015  \setcounter{@auth}{1}%
   1016 {\lineskip .5em
   1017 \noindent\ignorespaces
   1018 \@author\vskip.35cm}
   1019  {\small\institutename}
   1020  \end{center}%
   1021  }
   1022 
   1023 % definition of the "\spnewtheorem" command.
   1024 %
   1025 % Usage:
   1026 %
   1027 %     \spnewtheorem{env_nam}{caption}[within]{cap_font}{body_font}
   1028 % or  \spnewtheorem{env_nam}[numbered_like]{caption}{cap_font}{body_font}
   1029 % or  \spnewtheorem*{env_nam}{caption}{cap_font}{body_font}
   1030 %
   1031 % New is "cap_font" and "body_font". It stands for
   1032 % fontdefinition of the caption and the text itself.
   1033 %
   1034 % "\spnewtheorem*" gives a theorem without number.
   1035 %
   1036 % A defined spnewthoerem environment is used as described
   1037 % by Lamport.
   1038 %
   1039 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   1040 
   1041 \def\@thmcountersep{}
   1042 \def\@thmcounterend{.}
   1043 
   1044 \def\spnewtheorem{\@ifstar{\@sthm}{\@Sthm}}
   1045 
   1046 % definition of \spnewtheorem with number
   1047 
   1048 \def\@spnthm#1#2{%
   1049   \@ifnextchar[{\@spxnthm{#1}{#2}}{\@spynthm{#1}{#2}}}
   1050 \def\@Sthm#1{\@ifnextchar[{\@spothm{#1}}{\@spnthm{#1}}}
   1051 
   1052 \def\@spxnthm#1#2[#3]#4#5{\expandafter\@ifdefinable\csname #1\endcsname
   1053    {\@definecounter{#1}\@addtoreset{#1}{#3}%
   1054    \expandafter\xdef\csname the#1\endcsname{\expandafter\noexpand
   1055      \csname the#3\endcsname \noexpand\@thmcountersep \@thmcounter{#1}}%
   1056    \expandafter\xdef\csname #1name\endcsname{#2}%
   1057    \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#4}{#5}}%
   1058                               \global\@namedef{end#1}{\@endtheorem}}}
   1059 
   1060 \def\@spynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname
   1061    {\@definecounter{#1}%
   1062    \expandafter\xdef\csname the#1\endcsname{\@thmcounter{#1}}%
   1063    \expandafter\xdef\csname #1name\endcsname{#2}%
   1064    \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#3}{#4}}%
   1065                                \global\@namedef{end#1}{\@endtheorem}}}
   1066 
   1067 \def\@spothm#1[#2]#3#4#5{%
   1068   \@ifundefined{c@#2}{\@latexerr{No theorem environment `#2' defined}\@eha}%
   1069   {\expandafter\@ifdefinable\csname #1\endcsname
   1070   {\newaliascnt{#1}{#2}%
   1071   \expandafter\xdef\csname #1name\endcsname{#3}%
   1072   \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#4}{#5}}%
   1073   \global\@namedef{end#1}{\@endtheorem}}}}
   1074 
   1075 \def\@spthm#1#2#3#4{\topsep 7\p@ \@plus2\p@ \@minus4\p@
   1076 \refstepcounter{#1}%
   1077 \@ifnextchar[{\@spythm{#1}{#2}{#3}{#4}}{\@spxthm{#1}{#2}{#3}{#4}}}
   1078 
   1079 \def\@spxthm#1#2#3#4{\@spbegintheorem{#2}{\csname the#1\endcsname}{#3}{#4}%
   1080                     \ignorespaces}
   1081 
   1082 \def\@spythm#1#2#3#4[#5]{\@spopargbegintheorem{#2}{\csname
   1083        the#1\endcsname}{#5}{#3}{#4}\ignorespaces}
   1084 
   1085 \def\@spbegintheorem#1#2#3#4{\trivlist
   1086                  \item[\hskip\labelsep{#3#1\ #2\@thmcounterend}]#4}
   1087 
   1088 \def\@spopargbegintheorem#1#2#3#4#5{\trivlist
   1089       \item[\hskip\labelsep{#4#1\ #2}]{#4(#3)\@thmcounterend\ }#5}
   1090 
   1091 % definition of \spnewtheorem* without number
   1092 
   1093 \def\@sthm#1#2{\@Ynthm{#1}{#2}}
   1094 
   1095 \def\@Ynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname
   1096    {\global\@namedef{#1}{\@Thm{\csname #1name\endcsname}{#3}{#4}}%
   1097     \expandafter\xdef\csname #1name\endcsname{#2}%
   1098     \global\@namedef{end#1}{\@endtheorem}}}
   1099 
   1100 \def\@Thm#1#2#3{\topsep 7\p@ \@plus2\p@ \@minus4\p@
   1101 \@ifnextchar[{\@Ythm{#1}{#2}{#3}}{\@Xthm{#1}{#2}{#3}}}
   1102 
   1103 \def\@Xthm#1#2#3{\@Begintheorem{#1}{#2}{#3}\ignorespaces}
   1104 
   1105 \def\@Ythm#1#2#3[#4]{\@Opargbegintheorem{#1}
   1106        {#4}{#2}{#3}\ignorespaces}
   1107 
   1108 \def\@Begintheorem#1#2#3{#3\trivlist
   1109                            \item[\hskip\labelsep{#2#1\@thmcounterend}]}
   1110 
   1111 \def\@Opargbegintheorem#1#2#3#4{#4\trivlist
   1112       \item[\hskip\labelsep{#3#1}]{#3(#2)\@thmcounterend\ }}
   1113 
   1114 \if@envcntsect
   1115    \def\@thmcountersep{.}
   1116    \spnewtheorem{theorem}{Theorem}[section]{\bfseries}{\itshape}
   1117 \else
   1118    \spnewtheorem{theorem}{Theorem}{\bfseries}{\itshape}
   1119    \if@envcntreset
   1120       \@addtoreset{theorem}{section}
   1121    \else
   1122       \@addtoreset{theorem}{chapter}
   1123    \fi
   1124 \fi
   1125 
   1126 %definition of divers theorem environments
   1127 \spnewtheorem*{claim}{Claim}{\itshape}{\rmfamily}
   1128 \spnewtheorem*{proof}{Proof}{\itshape}{\rmfamily}
   1129 \if@envcntsame % alle Umgebungen wie Theorem.
   1130    \def\spn@wtheorem#1#2#3#4{\@spothm{#1}[theorem]{#2}{#3}{#4}}
   1131 \else % alle Umgebungen mit eigenem Zaehler
   1132    \if@envcntsect % mit section numeriert
   1133       \def\spn@wtheorem#1#2#3#4{\@spxnthm{#1}{#2}[section]{#3}{#4}}
   1134    \else % nicht mit section numeriert
   1135       \if@envcntreset
   1136          \def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4}
   1137                                    \@addtoreset{#1}{section}}
   1138       \else
   1139          \def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4}
   1140                                    \@addtoreset{#1}{chapter}}%
   1141       \fi
   1142    \fi
   1143 \fi
   1144 \spn@wtheorem{case}{Case}{\itshape}{\rmfamily}
   1145 \spn@wtheorem{conjecture}{Conjecture}{\itshape}{\rmfamily}
   1146 \spn@wtheorem{corollary}{Corollary}{\bfseries}{\itshape}
   1147 \spn@wtheorem{definition}{Definition}{\bfseries}{\itshape}
   1148 \spn@wtheorem{example}{Example}{\itshape}{\rmfamily}
   1149 \spn@wtheorem{exercise}{Exercise}{\itshape}{\rmfamily}
   1150 \spn@wtheorem{lemma}{Lemma}{\bfseries}{\itshape}
   1151 \spn@wtheorem{note}{Note}{\itshape}{\rmfamily}
   1152 \spn@wtheorem{problem}{Problem}{\itshape}{\rmfamily}
   1153 \spn@wtheorem{property}{Property}{\itshape}{\rmfamily}
   1154 \spn@wtheorem{proposition}{Proposition}{\bfseries}{\itshape}
   1155 \spn@wtheorem{question}{Question}{\itshape}{\rmfamily}
   1156 \spn@wtheorem{solution}{Solution}{\itshape}{\rmfamily}
   1157 \spn@wtheorem{remark}{Remark}{\itshape}{\rmfamily}
   1158 
   1159 \def\@takefromreset#1#2{%
   1160     \def\@tempa{#1}%
   1161     \let\@tempd\@elt
   1162     \def\@elt##1{%
   1163         \def\@tempb{##1}%
   1164         \ifx\@tempa\@tempb\else
   1165             \@addtoreset{##1}{#2}%
   1166         \fi}%
   1167     \expandafter\expandafter\let\expandafter\@tempc\csname cl@#2\endcsname
   1168     \expandafter\def\csname cl@#2\endcsname{}%
   1169     \@tempc
   1170     \let\@elt\@tempd}
   1171 
   1172 \def\theopargself{\def\@spopargbegintheorem##1##2##3##4##5{\trivlist
   1173       \item[\hskip\labelsep{##4##1\ ##2}]{##4##3\@thmcounterend\ }##5}
   1174                   \def\@Opargbegintheorem##1##2##3##4{##4\trivlist
   1175       \item[\hskip\labelsep{##3##1}]{##3##2\@thmcounterend\ }}
   1176       }
   1177 
   1178 \renewenvironment{abstract}{%
   1179       \list{}{\advance\topsep by0.35cm\relax\small
   1180       \leftmargin=1cm
   1181       \labelwidth=\z@
   1182       \listparindent=\z@
   1183       \itemindent\listparindent
   1184       \rightmargin\leftmargin}\item[\hskip\labelsep
   1185                                     \bfseries\abstractname]}
   1186     {\endlist}
   1187 
   1188 \newdimen\headlineindent             % dimension for space between
   1189 \headlineindent=1.166cm              % number and text of headings.
   1190 
   1191 \def\ps@headings{\let\@mkboth\@gobbletwo
   1192    \let\@oddfoot\@empty\let\@evenfoot\@empty
   1193    \def\@evenhead{\normalfont\small\rlap{\thepage}\hspace{\headlineindent}%
   1194                   \leftmark\hfil}
   1195    \def\@oddhead{\normalfont\small\hfil\rightmark\hspace{\headlineindent}%
   1196                  \llap{\thepage}}
   1197    \def\chaptermark##1{}%
   1198    \def\sectionmark##1{}%
   1199    \def\subsectionmark##1{}}
   1200 
   1201 \def\ps@titlepage{\let\@mkboth\@gobbletwo
   1202    \let\@oddfoot\@empty\let\@evenfoot\@empty
   1203    \def\@evenhead{\normalfont\small\rlap{\thepage}\hspace{\headlineindent}%
   1204                   \hfil}
   1205    \def\@oddhead{\normalfont\small\hfil\hspace{\headlineindent}%
   1206                  \llap{\thepage}}
   1207    \def\chaptermark##1{}%
   1208    \def\sectionmark##1{}%
   1209    \def\subsectionmark##1{}}
   1210 
   1211 \if@runhead\ps@headings\else
   1212 \ps@empty\fi
   1213 
   1214 \setlength\arraycolsep{1.4\p@}
   1215 \setlength\tabcolsep{1.4\p@}
   1216 
   1217 \endinput
   1218 %end of file llncs.cls