--- /dev/null
+%%
+%% This is file `elsart.cls',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% esl.dtx (with options: `package,elsart,ONECOL,DEEPLIST')
+%%
+%% IMPORTANT NOTICE:
+%%
+%% For the copyright see the source file.
+%%
+%% You are *not* allowed to modify this file.
+%%
+%% You are *not* allowed to distribute this file.
+%% For distribution of the original source see the terms
+%% for copying and modification in the file esl.dtx.
+%%
+\def\esp@fileversion{2e-1.62}
+\def\esp@filedate{1997/03/14}
+%% esl.dtx Copyright (C) 1994-1996 Elsevier Science
+\def\@shortjnl{\relax}
+ \def\@journal{Elsevier Preprint} \def\@company{Elsevier Science}
+ \def\@issn{000-0000}
+ \def\@shortjid{elsart}
+\NeedsTeXFormat{LaTeX2e}[1995/12/01]
+\ProvidesClass{\@shortjid}[\esp@filedate, \esp@fileversion: \@journal]
+\newif\if@TwoColumn
+\newif\if@seceqn
+\newif\if@secthm
+\newif\if@nameyear
+\newif\if@Elproofing
+\@Elproofingfalse
+\DeclareOption{12pt}{}
+\DeclareOption{11pt}{}
+\DeclareOption{10pt}{}
+\DeclareOption{oneside}{\@twosidefalse \@mparswitchfalse}
+\DeclareOption{twoside}{\@twosidetrue \@mparswitchtrue}
+\@twocolumnfalse
+\DeclareOption{onecolumn}{\@twocolumnfalse\@TwoColumnfalse}
+\DeclareOption{twocolumn}{\@twocolumntrue\@TwoColumntrue}
+\def\@docty{XX}
+\DeclareOption{letter}{%
+ \def\@docty{SN}%
+}
+\DeclareOption{proc}{%
+ \def\@docty{PP}%
+}
+\DeclareOption{erratum}{%
+ \def\@docty{EN}\gdef\@articletype{Erratum}%
+}
+\newif\if@draft
+\DeclareOption{draft}{%
+ \@drafttrue
+ \def\query{\marginpar{???}}% % mark author queries in proof
+ \overfullrule 5\p@ % to indicate overfull boxes
+}
+\DeclareOption{final}{%
+ \@draftfalse
+ \def\query{}%
+ \overfullrule \z@
+}
+\let\snm\relax \let\cty\relax \let\cny\relax\let\jr\relax
+\DeclareOption{capcas}{\typeout {* `capcas' option ignored *}}
+\newif\if@ussrhead \@ussrheadfalse
+\DeclareOption{ussrhead}{\@ussrheadtrue}
+\newif\if@debug \@debugfalse
+\DeclareOption{debug}{\typeout{* Debugging is on *}\@debugtrue
+ \errorcontextlines=1000}
+\@seceqnfalse % Default: equation numbering is not
+\DeclareOption{seceqn}{\@seceqntrue} % reset at beginning of each section
+\@secthmfalse
+\DeclareOption{secthm}{\@secthmtrue}
+\@nameyearfalse
+\DeclareOption{nameyear}{\@nameyeartrue}
+ \ExecuteOptions{oneside}
+ \ExecuteOptions{onecolumn,final}
+\ProcessOptions
+\def\@pagenumprefix{}
+\def\author@font{}
+\def\partname{Part}
+\def\appendixname{Appendix}
+\def\contentsname{Contents}
+\def\listfigurename{List of Figures}
+\def\listtablename{List of Tables}
+\def\refname{References}
+\def\indexname{Index}
+\def\figurename{Fig.}
+\def\tablename{Table}
+\def\abstractname{Abstract}
+\lineskip 1\p@
+\normallineskip 1\p@
+\def\baselinestretch{1}
+\frenchspacing
+\newdimen\@frontmatterwidth
+\def\@overtitleskip{69\p@}
+\def\@overhistoryskip{\z@}
+\def\@undertitleskip{\z@}
+\def\@overkeywordskip{12\p@}
+\def\@overabstractskip{8\p@}
+\def\@overcaptionskip{8\p@}
+\def\@preabstractskip{24\p@ \@plus 6\p@ \@minus 3\p@}
+\def\@belowfmskip{18\p@}
+\def\@bibliosize{\small}
+\def\@historysize{\small}
+\def\@keywordsize{\small}
+\def\@overaddressskip{2pt}
+\def\@titlesize{\Large\bfseries}
+\def\@authorsize{\large}
+\def\@keywordheading{{\it Key words: \ }}
+\def\@addressstyle{\small\itshape}
+\def\@captionsize{\small}
+\def\@tablecaptionsize{\@captionsize}
+\def\@figurecaptionsize{\@captionsize}
+\def\@captionwidth{.8\hsize}
+\def\@tablesize{\small}
+\def\@keywordwidth{.8\textwidth}
+\def\@abstractwidth{.8\textwidth}
+\def\@fignumfont#1{#1}
+\def\@secnumfont#1{\upshape}
+\def\@catchlinesize{\footnotesize}
+\def\@runheadsize{\normalsize}
+\def\etal{et al.}
+\def\AND{\&}
+\def\@abstractsize{\fontsize{\@ixpt}{11pt}\selectfont}
+\def\@articletypesize{\fontsize{\@xiiipt}{13pt}\selectfont}
+\def\normalsize{\@setfontsize\normalsize\@xiipt{14.5}%
+\abovedisplayskip 12\p@ \@plus 2\p@ \@minus 2\p@%
+\belowdisplayskip \abovedisplayskip
+\abovedisplayshortskip \z@ \@plus 2\p@%
+\belowdisplayshortskip 3.5\p@ \@plus 2\p@ \@minus 2\p@
+\let\@listi\@listI}
+\def\small{\@setfontsize\small\@xipt{13.6}%
+\abovedisplayskip 11\p@ plus3\p@ minus6\p@
+\belowdisplayskip \abovedisplayskip
+\abovedisplayshortskip \z@ plus3\p@
+\belowdisplayshortskip 6.5\p@ plus3.5\p@ minus3\p@
+\def\@listi{\leftmargin\leftmargini
+ \parsep 4.5\p@ plus2\p@ minus\p@ \itemsep \parsep
+ \topsep 9\p@ plus3\p@ minus5\p@}}
+\let\footnotesize=\small
+\let\@xviiipt\@xviipt
+\def\scriptsize{\@setfontsize\scriptsize\@viiipt{9.5}}
+\def\tiny{\@setfontsize\tiny\@vipt{7}}
+\def\large{\@setfontsize\large\@xivpt{18}}
+\def\Large{\@setfontsize\Large\@xviipt{22}}
+\def\LARGE{\@setfontsize\LARGE\@xxpt{22}}
+\def\huge{\@setfontsize\huge\@xxvpt{27}}
+\let\Huge=\huge
+\def\baselinestretch{1}
+\normalsize % Choose the normalsize font.
+\newdimen\@bls % Several dimensions are
+\@bls=\baselineskip % expressed in terms of this.
+\if@twoside % Values for two-sided printing:
+ \oddsidemargin 20\p@ % Left margin on odd-numbered pages.
+ \evensidemargin 20\p@ % Left margin on even-numbered pages.
+ \marginparwidth 10\p@ % \@Width of marginal notes.
+\else % Values for one-sided printing:
+ \oddsidemargin 20\p@ % Left margin on odd-numbered pages.
+ \evensidemargin 20\p@ % Left margin on even-numbered pages.
+ \marginparwidth 2pc
+\fi
+\marginparsep 20\p@ % Horizontal space between outer margin and
+ % marginal note
+\topmargin \z@ % Nominal distance from top of page to top of
+ % box containing running head.
+\headheight \z@ % \@Height of box containing running head.
+\headsep \z@ % Space between running head and text.
+ \footskip 40\p@
+\bigskipamount=\@bls \@plus 0.3\@bls \@minus 0.3\@bls % 1/1 line
+\medskipamount=0.5\bigskipamount % 1/2 line
+\smallskipamount=0.25\bigskipamount % 1/4 line
+\textheight 44\baselineskip % \@Height of text (including footnotes and figures,
+\advance\textheight\topskip % excluding running head and foot).
+\textwidth 33pc % \@Width of text line.
+ % For two-column mode:
+\columnsep 2pc % Space between columns
+\columnseprule \z@ % \@Width of rule between columns.
+ \footnotesep 8.4\p@
+\skip\footins 12\p@ \@plus 8\p@ % Space between last line of text and
+ % top of first footnote.
+\floatsep 8\p@ \@plus 4\p@ \@minus 2\p@ % Space between adjacent floats moved
+ % to top or bottom of text page.
+\textfloatsep 8\p@ \@plus 4\p@ \@minus 2\p@ % Space between main text and floats
+ % at top or bottom of page.
+\intextsep 8\p@ \@plus 4\p@ \@minus 2\p@ % Space between in-text figures and
+ % text.
+\dblfloatsep 8\p@ \@plus 4\p@ \@minus 4\p@ % Same as \floatsep for double-column
+ % figures in two-column mode.
+\dbltextfloatsep 12\p@ \@plus 4\p@ \@minus 4\p@ % \textfloatsep for double-column
+ % floats.
+\@fptop \z@ \@plus 1fil % Stretch at top of float page/column. (Must be
+ % \z@ \@plus ...)
+\@fpsep 8\p@ \@plus 2fil % Space between floats on float page/column.
+\@fpbot \z@ \@plus 1fil % Stretch at bottom of float page/column. (Must be
+ % \z@ \@plus ... )
+\@dblfptop \z@ \@plus 1fil % Stretch at top of float page. (Must be \z@ \@plus ...)
+\@dblfpsep 8\p@ \@plus 2fil % Space between floats on float page.
+\@dblfpbot \z@ \@plus 1fil % Stretch at bottom of float page. (Must be
+ % \z@ \@plus ... )
+\marginparpush 5\p@ % Minimum vertical separation between two marginal
+ % notes.
+\parskip 1pc \@plus 1\p@ % Extra vertical space between paragraphs.
+\parindent \z@ % Indentation of each paragraph.
+\newskip\eqntopsep % Extra vertical space, in addition to
+ \eqntopsep 12\p@ \@plus 2\p@ \@minus 2\p@ %\parskip, added above and below
+\newdimen\eqnarraycolsep % Half the space between columns
+\eqnarraycolsep 1\p@ % in an \eqnarray.
+\@lowpenalty 51 % Produced by \nopagebreak[1] or \nolinebreak[1]
+\@medpenalty 151 % Produced by \nopagebreak[2] or \nolinebreak[2]
+\@highpenalty 301 % Produced by \nopagebreak[3] or \nolinebreak[3]
+\@beginparpenalty -\@lowpenalty % Before a list or paragraph environment.
+\@endparpenalty -\@lowpenalty % After a list or paragraph environment.
+\@itempenalty -\@lowpenalty % Between list items.
+\def\section{\@startsection{section}{1}{\z@}{1.5\@bls
+ \@plus .4\@bls \@minus .1\@bls}{\@bls}{\normalsize\bfseries}}
+\def\subsection{\@startsection{subsection}{2}{\z@}{\@bls
+ \@plus .3\@bls \@minus .1\@bls}{\@bls}{\normalsize\itshape}}
+\def\subsubsection{\@startsection{subsubsection}{3}{\z@}{\@bls
+ \@plus .2\@bls}{0.0001pt}{\normalsize\itshape}}
+\def\paragraph{\@startsection{paragraph}{4}{\z@}{3.25ex plus
+ 2ex \@minus 0.2ex}{-1em}{\normalsize\bfseries}}
+\setcounter{secnumdepth}{3}
+\def\half@em{\hskip 0.5em}
+\def\lb@part{PART \thepart.\half@em}
+ \def\lb@empty@part{PART \thepart}
+\def\lb@section{\thesection.\half@em}
+ \def\lb@empty@section{\thesection}
+\def\lb@subsection{\thesubsection.\half@em}
+ \def\lb@empty@subsection{\thesubsection}
+\def\lb@subsubsection{\thesubsubsection.\half@em}
+ \def\lb@empty@subsubsection{\thesubsubsection}
+\def\lb@paragraph{\theparagraph.\half@em}
+ \def\lb@empty@paragraph{\theparagraph}
+\def\lb@subparagraph{\thesubparagraph.\half@em}
+ \def\lb@empty@subparagraph{\thesubparagraph}
+\def\head@format#1#2{#2}
+\def\head@style{\interlinepenalty\@M
+ \hyphenpenalty\@M \exhyphenpenalty\@M
+ \rightskip \z@ \@plus 0.5\hsize \relax
+ }
+\def\app@number#1{\setcounter{#1}{0}%
+ \@addtoreset{#1}{section}%
+ \@namedef{the#1}{\thesection.\arabic{#1}}}
+\def\appendix{\@ifstar{\appendix@star}{\appendix@nostar}}
+\def\appendix@nostar{%
+ \def\lb@section{\appendixname\ \thesection.\half@em}
+ \def\lb@empty@section{\appendixname\ \thesection}
+ \setcounter{section}{0}\def\thesection{\Alph{section}}%
+ \setcounter{subsection}{0}%
+ \setcounter{subsubsection}{0}%
+ \setcounter{paragraph}{0}%
+ \app@number{equation}\app@number{figure}\app@number{table}}
+\def\appendix@star{%
+ \def\lb@section{\appendixname}\let\lb@empty@section\lb@section
+ \setcounter{section}{0}\def\thesection{\Alph{section}}%
+ \setcounter{subsection}{0}%
+ \setcounter{subsubsection}{0}%
+ \setcounter{paragraph}{0}%
+ \app@number{equation}\app@number{figure}\app@number{table}}
+\def\ack{\section*{%
+Acknowledgement
+ }
+ \addtocontents{toc}{\protect\vspace{6pt}}%
+ \addcontentsline{toc}{section}{%
+Acknowledgement
+}}
+\@namedef{ack*}{\par\vskip 3.0ex \@plus 1.0ex \@minus 1.0ex}
+\let\endack\par
+\@namedef{endack*}{\par}
+\newdimen\labelwidthi
+\newdimen\labelwidthii
+\newdimen\labelwidthiii
+\newdimen\labelwidthiv
+\def\normal@labelsep{0.5em}
+\labelsep\normal@labelsep
+\settowidth{\labelwidthi}{(iii)}
+\settowidth{\labelwidthii}{(d)}
+\settowidth{\labelwidthiii}{(iii)}
+\settowidth{\labelwidthiv}{(M)}
+\leftmargini\labelwidthi \advance\leftmargini\labelsep
+\leftmarginii\labelwidthii \advance\leftmarginii\labelsep
+\leftmarginiii\labelwidthiii \advance\leftmarginiii\labelsep
+\leftmarginiv\labelwidthiv \advance\leftmarginiv\labelsep
+\def\setleftmargin#1#2{\settowidth{\@tempdima}{#2}\labelsep\normal@labelsep
+ \csname labelwidth#1\endcsname\@tempdima
+ \@tempdimb\@tempdima \advance\@tempdimb\labelsep
+ \csname leftmargin#1\endcsname\@tempdimb}
+\def\@listI{\leftmargin\leftmargini
+ \labelwidth\labelwidthi \labelsep\normal@labelsep
+ \topsep \z@ \partopsep\z@ \parsep\z@ \itemsep\z@
+ \listparindent 1em}
+\def\@listii{\leftmargin\leftmarginii
+ \labelwidth\labelwidthii \labelsep\normal@labelsep
+ \topsep\z@ \partopsep\z@ \parsep\z@ \itemsep\z@
+ \listparindent 1em}
+\def\@listiii{\leftmargin\leftmarginiii
+ \labelwidth\labelwidthiii \labelsep\normal@labelsep
+ \topsep\z@ \partopsep\z@ \parsep\z@ \itemsep\z@
+ \listparindent 1em}
+\def\@listiv{\leftmargin\leftmarginiv
+ \labelwidth\labelwidthiv \labelsep\normal@labelsep
+ \topsep\z@ \partopsep\z@ \parsep\z@ \itemsep\z@
+ \listparindent 1em}
+\let\@listi\@listI
+\@listi
+\def\left@label#1{{#1}\hss}
+\def\right@label#1{\hss\llap{#1}}
+\def\thick@label#1{\hspace\labelsep #1}
+\newcount\@maxlistdepth
+\@maxlistdepth=4
+\def\labelitemi{$\bullet$} \def\labelitemii{$\cdot$}
+\def\labelenumi{(\theenumi)} \def\theenumi{\arabic{enumi}}
+\def\labelenumii{(\alph{enumii})} \def\theenumii{\theenumi\alph{enumii}}
+\def\labelenumiii{(\roman{enumiii})}\def\theenumiii{\theenumii.\roman{enumiii}}
+\def\labelenumiv{(\Alph{enumiv})} \def\theenumiv{\theenumiii.\Alph{enumiv}}
+\def\enumerate{%
+ \ifnum \@enumdepth >\@maxlistdepth
+ \@toodeep
+ \else
+ \advance\@enumdepth \@ne
+ \edef\@enumctr{enum\romannumeral\the\@enumdepth}%
+ \list{\csname label\@enumctr\endcsname}%
+ {\usecounter{\@enumctr}
+ \let\makelabel=\right@label}
+ \fi}
+\def\itemize{%
+ \ifnum \@itemdepth >\@maxlistdepth
+ \@toodeep
+ \else
+ \advance\@itemdepth \@ne
+ \edef\@itemitem{labelitem\romannumeral\the\@itemdepth}%
+ \setleftmargin{i}{--}%
+ \setleftmargin{ii}{$\cdot$}%
+ \list{\csname\@itemitem\endcsname}%
+ {\let\makelabel\right@label}
+ \fi}
+\def\verse{\let\\=\@centercr
+ \list{}{\itemsep\z@
+ \itemindent \z@
+ \listparindent\z@
+ \rightmargin 1em
+ \leftmargin \rightmargin}\item[]}
+\let\endverse\endlist
+\def\quotation{\list{}{\itemindent\z@
+ \leftmargin 1em \rightmargin \z@
+ \parsep \z@ \@plus 1pt}\item[]}
+\let\endquotation=\endlist
+\def\quote{\list{}{\itemindent\z@
+ \leftmargin 1em \rightmargin \z@}%
+\item[]}
+\let\endquote=\endlist
+\def\descriptionlabel#1{\hspace\labelsep \bfseries #1}
+\def\description{\list{}{\labelwidth\z@
+ \leftmargin 1em \itemindent-\leftmargin
+ \let\makelabel\descriptionlabel}}
+\let\enddescription\endlist
+\def\@atfmtname{atlplain}
+\ifx\fmtname\@atfmtname
+ \def\neq{\not\nobreak\mkern -2mu =}%
+ \let\ne\neq
+\fi
+\def\operatorname#1{\mathop{\mathrm{#1}}\nolimits}
+\def\lefteqn#1{\hbox to\z@{$\displaystyle {#1}$\hss}}
+\newskip\eqnbaselineskip % Standard interline spacing in an {eqnarray}
+\jot=2\p@
+\newskip\eqnlineskip % Minimal space between the bottom of
+ % a line and the top of the next line.
+\eqnbaselineskip=14\p@ \eqnlineskip=2\p@
+\newdimen\mathindent
+\if@TwoColumn
+ \mathindent 0em
+\else
+ \mathindent 2em
+\fi
+\def\[{\relax\ifmmode\@badmath
+ \else%\bgroup removed on request from BW (1993-05-17)
+ \@beginparpenalty\predisplaypenalty
+ \@endparpenalty\postdisplaypenalty
+ \begin{trivlist}\@topsep \eqntopsep % used by first \item
+ \@topsepadd \eqntopsep % used by \@endparenv
+ \item[]\leavevmode
+ \hbox to\linewidth\bgroup\hfil $ \displaystyle
+ \hskip\mathindent\bgroup\fi}
+\def\]{\relax\ifmmode \egroup $\hfil \egroup
+ \end{trivlist}% \egroup removed on request from BW (1993-05-17)
+ \else \@badmath \fi}
+\def\equation{\@beginparpenalty\predisplaypenalty
+ \@endparpenalty\postdisplaypenalty
+\refstepcounter{equation}\trivlist
+ \@topsep \eqntopsep % used by first \item
+ \@topsepadd \eqntopsep % used by \@endparenv
+ \item[]\leavevmode
+ \hbox to\linewidth\bgroup \hfil $ \displaystyle \hskip\mathindent\bgroup}
+\def\endequation{\egroup$\hfil \displaywidth\linewidth
+ \@eqnnum\egroup \endtrivlist}
+\def\eqnarray{%
+ \par %BW
+ \noindent %BW
+ \baselineskip\eqnbaselineskip\lineskip\eqnlineskip %BW
+ \lineskiplimit\eqnlineskip %BW
+ \stepcounter{equation}%
+ \let\@currentlabel=\theequation
+ \global\@eqnswtrue
+ \global\@eqcnt\z@
+ \tabskip\mathindent
+ \let\\=\@eqncr
+ \abovedisplayskip\eqntopsep\ifvmode\advance\abovedisplayskip\partopsep\fi
+ \belowdisplayskip\abovedisplayskip
+ \belowdisplayshortskip\abovedisplayskip
+ \abovedisplayshortskip\abovedisplayskip
+ $$\halign to \displaywidth\bgroup\@eqnsel
+ \pre@coli$\displaystyle\tabskip\z@{##}$\post@coli
+ &\global\@eqcnt\@ne
+ \pre@colii$\displaystyle{##}$\post@colii
+ &\global\@eqcnt\tw@
+ \pre@coliii $\displaystyle\tabskip\z@{##}$\post@coliii
+ \tabskip\@centering&\llap{##}\tabskip\z@\cr
+}
+\def\endeqnarray{\@@eqncr\egroup
+ \global\advance\c@equation\m@ne$$\global\@ignoretrue }
+\def\pre@coli{\hskip\@centering} \def\post@coli{}
+\def\pre@colii{\hskip 2\eqnarraycolsep \hfil} \def\post@colii{\hfil}
+\def\pre@coliii{\hskip 2\eqnarraycolsep} \def\post@coliii{\hfil}
+\arraycolsep 2\p@ % Half the space between columns in array environment.
+\tabcolsep 6\p@ % idem in tabular environment.
+\def\arraystretch{1.5} % More vertical space in tables
+\arrayrulewidth 0.4\p@ % \@Width of rules and space between adjacent
+\doublerulesep 2\p@ % rules in any of these two environments.
+\newdimen\rulepreskip \newdimen\rulepostskip
+\rulepreskip=4\p@ \rulepostskip=6\p@
+\tabbingsep \labelsep % Space used by the \' command. (See LaTeX{} manual.)
+\skip\@mpfootins = 6\p@ \@plus 2\p@ % Space between last line of text and
+ % top of first footnote.
+\fboxsep = 7\p@ % Space left between box and text by \fbox and \framebox.
+\fboxrule = 0.4\p@ % \@Width of rules in box made by \fbox and \framebox.
+\newcounter{section}
+\newcounter{subsection}[section]
+\newcounter{subsubsection}[subsection]
+\newcounter{paragraph}[subsubsection]
+\newcounter{subparagraph}[paragraph]
+\if@seceqn
+ \@addtoreset{equation}{section}
+ \def\theequation{\arabic{section}.\arabic{equation}}
+\else
+ \def\theequation{\arabic{equation}}
+\fi
+\def\thesection {\arabic{section}}
+\def\thesubsection {\thesection.\arabic{subsection}}
+\def\thesubsubsection{\thesubsection.\arabic{subsubsection}}
+\def\theparagraph {\thesubsubsection.\arabic{paragraph}}
+\def\thesubparagraph {\theparagraph.\arabic{subparagraph}}
+\@addtoreset{section}{part} % reset section numbers at beginning of part
+
+\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}
+\def\qed{\relax\ifmmode\hskip2em \Box\else\unskip\nobreak\hskip1em $\Box$\fi}
+\def\proof@headerfont{\upshape\bfseries}
+\gdef\theorem@headerfont{\itshape}
+\gdef\th@plain{\upshape
+ \def\@begintheorem##1##2{\item[\hskip\labelsep
+ {\theorem@headerfont ##1\ ##2.}]}%
+ \def\@opargbegintheorem##1##2##3{\item[\hskip\labelsep
+ {\theorem@headerfont ##1\ ##2.}\ {\upshape (##3).}]}}
+\gdef\th@definition{\upshape
+ \def\@begintheorem##1##2{\item[\hskip\labelsep
+ {\theorem@headerfont ##1\ ##2.}]}%
+ \def\@opargbegintheorem##1##2##3{\item[\hskip\labelsep
+ {\theorem@headerfont ##1\ ##2.}\ {\upshape (##3).}]}}
+
+\newenvironment{pf}%
+ {\par\addvspace{\@bls \@plus 0.5\@bls \@minus 0.1\@bls}\noindent
+ {\bfseries\Elproofname}\enspace\ignorespaces}%
+ {\par\addvspace{\@bls \@plus 0.5\@bls \@minus 0.1\@bls}}
+\def\Elproofname{PROOF.}
+\@namedef{pf*}#1{\par\begingroup\def\Elproofname{#1}\pf\endgroup\ignorespaces}
+\expandafter\let\csname endpf*\endcsname=\endpf
+\if@secthm
+ \newtheorem{thm}{Theorem}[section]
+ \@addtoreset{thm}{section}
+\else
+ \newtheorem{thm}{Theorem}
+\fi
+\newtheorem{cor}[thm]{Corollary}
+\newtheorem{lem}[thm]{Lemma}
+\newtheorem{claim}[thm]{Claim}
+\newtheorem{axiom}[thm]{Axiom}
+\newtheorem{conj}[thm]{Conjecture}
+\newtheorem{fact}[thm]{Fact}
+\newtheorem{hypo}[thm]{Hypothesis}
+\newtheorem{assum}[thm]{Assumption}
+\newtheorem{prop}[thm]{Proposition}
+\newtheorem{crit}[thm]{Criterion}
+\newtheorem{defn}[thm]{Definition}
+\newtheorem{exmp}[thm]{Example}
+\newtheorem{rem}[thm]{Remark}
+\newtheorem{prob}[thm]{Problem}
+\newtheorem{prin}[thm]{Principle}
+\newtheorem{alg}{Algorithm}
+\long\def\@makealgocaption#1#2{\vskip 2ex \small
+ \hbox to \hsize{\parbox[t]{\hsize}{{\bfseries #1.} #2}}}
+\newcounter{algorithm}
+\def\thealgorithm{\@arabic\c@algorithm}
+\def\fps@algorithm{tbp}
+\def\ftype@algorithm{4}
+\def\ext@algorithm{lof}
+\def\fnum@algorithm{Algorithm \thealgorithm}
+\def\algorithm{\let\@makecaption\@makealgocaption\@float{algorithm}}
+\let\endalgorithm\end@float
+\newtheorem{note}{Note}
+\newtheorem{summ}{Summary}
+\newtheorem{case}{Case}
+\def\@pnumwidth{2.55em}
+\def\@tocrmarg{2.55em \@plus 5em}
+\def\@dotsep{-2.5}
+\setcounter{tocdepth}{2}
+\newcommand\listoffigures{%
+ \section*{\listfigurename
+ \@mkboth{\MakeUppercase\listfigurename}%
+ {\MakeUppercase\listfigurename}}%
+ \@starttoc{lof}%
+ }
+\newcommand*\l@figure{\@dottedtocline{1}{1.5em}{2.3em}}
+\newcommand\listoftables{%
+ \section*{\listtablename
+ \@mkboth{%
+ \MakeUppercase\listtablename}{\MakeUppercase\listtablename}}%
+ \@starttoc{lot}%
+ }
+\let\l@table\l@figure
+\def\tableofcontents{%
+ \section*{\contentsname}%
+ \@starttoc{toc}}
+\def\l@section{\@dottedtocline{1}{0.0em}{1.40em}}
+\def\l@subsection{\@dottedtocline{2}{1.40em}{2.24em}}
+\def\l@subsubsection{\@dottedtocline{3}{2.24em}{3.09em}}
+\def\thebibliography{%
+ \@startsection{section}{1}{\z@}{20\p@ \@plus 8\p@ \@minus 4pt}
+ {\@bls}{\normalsize\bfseries}*{\refname}%
+ \addcontentsline{toc}{section}{\refname}%
+ \@thebibliography}
+\let\endthebibliography=\endlist
+\def\@thebibliography#1{\@bibliosize
+ \list{\@biblabel{\arabic{enumiv}}}{\settowidth\labelwidth{\@biblabel{#1}}
+ \if@nameyear
+ \labelwidth\z@ \labelsep\z@ \leftmargin\parindent
+ \itemindent-\parindent
+ \else
+ \labelsep 3\p@ \itemindent\z@
+ \leftmargin\labelwidth \advance\leftmargin\labelsep
+\fi
+ \itemsep 0.3\@bls \@plus 0.1\@bls \@minus 0.1\@bls
+ \usecounter{enumiv}\let\p@enumiv\@empty
+ \def\theenumiv{\arabic{enumiv}}}%
+ \def\newblock{\hskip 0.11em \@plus 0.33em \@minus -0.07em}
+ \tolerance\@M
+ \hyphenpenalty\@M
+ \hbadness5000 \sfcode`\.=1000\relax}
+\if@nameyear
+ \def\@biblabel#1{}
+\else
+ \def\@biblabel#1{\hskip \z@ \@plus 1filll[#1]}
+\fi
+\newcount\@tempcntc
+\def\@citex[#1]#2{\if@filesw\immediate\write\@auxout{\string\citation{#2}}\fi
+ \@tempcnta\z@\@tempcntb\m@ne\def\@citea{}\@cite{\@for\@citeb:=#2\do
+ {\@ifundefined
+ {b@\@citeb}{\@citeo\@tempcntb\m@ne\@citea\def\@citea{,}{\bfseries ?}\@warning
+ {Citation `\@citeb' on page \thepage \space undefined}}%
+ {\setbox\z@\hbox{\global\@tempcntc0\csname b@\@citeb\endcsname\relax}%
+ \ifnum\@tempcntc=\z@ \@citeo\@tempcntb\m@ne
+ \@citea\def\@citea{,}\hbox{\csname b@\@citeb\endcsname}%
+ \else
+ \advance\@tempcntb\@ne
+ \ifnum\@tempcntb=\@tempcntc
+ \else\advance\@tempcntb\m@ne\@citeo
+ \@tempcnta\@tempcntc\@tempcntb\@tempcntc\fi\fi}}\@citeo}{#1}}
+\def\@citeo{\ifnum\@tempcnta>\@tempcntb\else\@citea\def\@citea{,}%
+ \ifnum\@tempcnta=\@tempcntb\the\@tempcnta\else
+ {\advance\@tempcnta\@ne\ifnum\@tempcnta=\@tempcntb \else \def\@citea{--}\fi
+ \advance\@tempcnta\m@ne\the\@tempcnta\@citea\the\@tempcntb}\fi\fi}
+\@namedef{cv*}{\section*{Curriculum Vitae}\cv}
+ \def\cv{\hangindent=7pc \hangafter=-12 \parskip\bigskipamount \small}
+\def\footnote{\@ifnextchar[{\@xfootnote}{\refstepcounter
+ {\@mpfn}\xdef\@thefnmark{\thempfn}\@footnotemark\@footnotetext}}
+\def\footnotemark{\@ifnextchar[{\@xfootnotemark
+ }{\refstepcounter{footnote}\xdef\@thefnmark{\thefootnote}\@footnotemark}}
+\def\footnoterule{\kern-3\p@
+ \hrule \@width 3pc % The \hrule has default \@height of 0.4pt.
+ \kern 2.6\p@}
+\def\thempfootnote{\alph{mpfootnote}}
+\def\mpfootnotemark{%
+ \@ifnextchar[{\@xmpfootnotemark}{\stepcounter{mpfootnote}%
+ \begingroup
+ \let\protect\noexpand
+ \xdef\@thefnmark{\thempfootnote}%
+ \endgroup
+ \@footnotemark}}
+\def\@xmpfootnotemark[#1]{%
+ \begingroup
+ \c@mpfootnote #1\relax
+ \let\protect\noexpand
+ \xdef\@thefnmark{\thempfootnote}%
+ \endgroup
+ \@footnotemark}
+\def\@mpmakefnmark{\,\hbox{$^{\mathrm{\@thefnmark}}$}}
+\long\def\@mpmakefntext#1{\noindent
+ \hbox{$^{\mathrm{\@thefnmark}}$} #1}
+\def\@iiiminipage#1#2[#3]#4{%
+ \leavevmode
+ \@pboxswfalse
+ \setlength\@tempdima{#4}%
+ \def\@mpargs{{#1}{#2}[#3]{#4}}%
+ \setbox\@tempboxa\vbox\bgroup
+ \color@begingroup
+ \hsize\@tempdima
+ \textwidth\hsize \columnwidth\hsize
+ \@parboxrestore
+ \def\@mpfn{mpfootnote}\def\thempfn{\thempfootnote}\c@mpfootnote\z@
+ \let\@footnotetext\@mpfootnotetext
+ \let\@makefntext\@mpmakefntext
+ \let\@makefnmark\@mpmakefnmark
+ \let\@listdepth\@mplistdepth \@mplistdepth\z@
+ \@minipagerestore\global\@minipagetrue %% \global added 24 May 89
+ \everypar{\global\@minipagefalse\everypar{}}}
+\def\fn@presym{}
+\long\def\@makefntext#1{\noindent\hbox to 1em
+ {$^{\fn@presym\mathrm{\@thefnmark}}$\hss}#1}
+\def\@makefnmark{\,\hbox{$^{\fn@presym\mathrm{\@thefnmark}}$}\,}
+\def\patched@end@dblfloat{%
+ \if@twocolumn
+ \par\vskip\z@skip %% \par\vskip\z@ added 15 Dec 87
+ \global\@minipagefalse
+ \outer@nobreak
+ \egroup %% end of vbox
+ \color@endbox
+ \ifnum\@floatpenalty <\z@
+ \@largefloatcheck
+ \@cons\@dbldeferlist\@currbox
+ \fi
+ \ifnum \@floatpenalty =-\@Mii \@Esphack\fi
+ \else
+ \end@float
+ \fi
+}
+\setcounter{topnumber}{5}
+\def\topfraction{0.99}
+\def\textfraction{0.05}
+\def\floatpagefraction{0.9}
+\setcounter{bottomnumber}{5}
+\def\bottomfraction{0.99}
+\setcounter{totalnumber}{10}
+\def\dbltopfraction{0.99}
+\def\dblfloatpagefraction{0.8}
+\setcounter{dbltopnumber}{5}
+\long\def\@maketablecaption#1#2{\@tablecaptionsize
+ \global \@minipagefalse
+ \hbox to \hsize{\parbox[t]{\hsize}{#1 \\ #2}}}
+\long\def\@makefigurecaption#1#2{\@figurecaptionsize
+ \vskip \@overcaptionskip
+ \setbox\@tempboxa\hbox{#1. #2}
+ \ifdim \wd\@tempboxa >\hsize % IF longer than one line THEN
+ \unhbox\@tempboxa\par % set as justified paragraph
+ \else % ELSE
+ \global \@minipagefalse
+ \hbox to\hsize{\hfil\box\@tempboxa\hfil}% center single line.
+ \fi}
+\def\@makecaption{\@makefigurecaption}
+\def\conttablecaption{\par \begingroup \@parboxrestore \normalsize
+ \@makecaption{\fnum@table\,---\,continued}{}\par
+ \vskip-1pc \endgroup}
+\def\contfigurecaption{\vskip-1pc \par \begingroup \@parboxrestore
+ \@captionsize
+ \@makecaption{\fnum@figure\,---\,continued}{}\par
+ \endgroup}
+\newcounter{figure}
+\def\thefigure{\@arabic\c@figure}
+\def\fps@figure{tbp}
+\def\ftype@figure{1}
+\def\ext@figure{lof}
+\def\fnum@figure{\figurename~\thefigure}
+\def\figure{%
+ \let\@makecaption\@makefigurecaption
+ \let\contcaption\contfigurecaption \@float{figure}}
+\let\endfigure\end@float
+\@namedef{figure*}{%
+ \let\@makecaption\@makefigurecaption
+ \let\contcaption\contfigurecaption \@dblfloat{figure}}
+\@namedef{endfigure*}{\end@dblfloat}
+\newcounter{table}
+\def\thetable{\@arabic\c@table}
+\def\fps@table{tbp}
+\def\ftype@table{2}
+\def\ext@table{lot}
+\def\fnum@table{\tablename~\thetable}
+\let\old@floatboxreset\@floatboxreset
+\def\table{%
+\let\@makecaption\@maketablecaption
+\def\@floatboxreset{%
+ \old@floatboxreset
+ \@tablesize
+}%
+ \let\footnoterule\relax
+ \let\contcaption\conttablecaption \@float{table}}
+\let\endtable\end@float
+\@namedef{table*}{%
+\let\@makecaption\@maketablecaption
+\def\@floatboxreset{%
+ \old@floatboxreset
+ \@tablesize
+}%
+ \let\footnoterule\relax
+ \let\contcaption\conttablecaption \@dblfloat{table}}
+\@namedef{endtable*}{\end@dblfloat}
+\newtoks\t@glob@notes % List of all notes
+\newtoks\t@loc@notes % List of notes for one element
+\newcount\note@cnt % Number of notes per element
+\newcounter{author} % Author counter
+\newcount\n@author % Total number of authors
+\def\n@author@{1} % idem, read from .aux file
+\newcounter{collab} % Collaboration counter
+\newcount\n@collab % Total number of collaborations
+\def\n@collab@{} % idem, read from .aux file
+\newcounter{address} % Address counter
+\def\theHaddress{\arabic{address}}% for hyperref
+\newdimen\sv@mathsurround % Dimen register to save \mathsurround
+\newcount\sv@hyphenpenalty % Count register to save \hyphenpenalty
+\newcount\prev@elem \prev@elem=0 % Variables to keep track of
+\newcount\cur@elem \cur@elem=0 % types of elements that are processed
+\chardef\e@title=1
+\chardef\e@subtitle=1
+\chardef\e@author=2
+\chardef\e@collab=3
+\chardef\e@address=4
+\newif\if@newelem % Switch to new type of element?
+\newif\if@firstauthor % First author or collaboration?
+\newif\if@preface % If preface: omit history and abstract
+\newif\if@hasabstract % If abstract / keywords: do not omit rules
+\newif\if@haskeywords % If abstract / keywords: do not omit rules
+\newbox\fm@box % Box for collected front matter
+\newdimen\fm@size % Total height of \fm@box
+\newbox\t@abstract % Box for abstract
+\newbox\t@keyword % Box for keyword abstract
+ \let\report@elt\@gobble
+\def\add@tok#1#2{\global#1\expandafter{\the#1#2}}
+\def\add@xtok#1#2{\begingroup
+ \no@harm
+ \xdef\@act{\global\noexpand#1{\the#1#2}}\@act
+\endgroup}
+\def\beg@elem{\global\t@loc@notes={}\global\note@cnt\z@}
+\def\@xnamedef#1{\expandafter\xdef\csname #1\endcsname}
+\def\no@harm{%
+ \let\\=\relax \let\rm\relax
+ \let\ss=\relax \let\ae=\relax \let\oe=\relax
+ \let\AE=\relax \let\OE=\relax
+ \let\o=\relax \let\O=\relax
+ \let\i=\relax \let\j=\relax
+ \let\aa=\relax \let\AA=\relax
+ \let\l=\relax \let\L=\relax
+ \let\d=\relax \let\b=\relax \let\c=\relax
+ \let\bar=\relax
+ \def\protect{\noexpand\protect\noexpand}}
+\def\proc@elem#1#2{\begingroup
+ \no@harm % make a few instructions harmless
+ \let\thanksref\@gobble % remove \thanksref from element
+ \@xnamedef{@#1}{#2}% % and store as \@#1
+ \endgroup
+ \prev@elem=\cur@elem % keep track of type of previous
+ \cur@elem=\csname e@#1\endcsname % and current element
+ \expandafter\elem@nothanksref#2\thanksref\relax}
+\def\elem@nothanksref#1\thanksref{\futurelet\@peektok\elem@thanksref}
+\def\elem@thanksref{\ifx\@peektok\relax % No more \thanksref, so now exit
+ \else \expandafter\elem@morethanksref \fi}
+\def\elem@morethanksref#1{\add@thanksref{#1}\elem@nothanksref}
+\def\add@thanksref#1{\global\advance\note@cnt\@ne
+ \ifnum\note@cnt>\@ne \add@xtok\t@loc@notes{\note@sep}\fi
+ \add@tok\t@loc@notes{\ref{#1}}}
+\def\note@sep{,}
+\def\thanks{\@ifnextchar[{\@tempswatrue
+ \thanks@optarg}{\@tempswafalse\thanks@optarg[]}}
+\def\thanks@optarg[#1]#2{\refstepcounter{footnote}
+ \if@tempswa\label{#1}\else\relax\fi
+ \add@tok\t@glob@notes{\footnotetext}%
+ \add@xtok\t@glob@notes{[\the\c@footnote]}%
+ \add@tok\t@glob@notes{{#2}}}
+\let\real@refstepcounter\refstepcounter
+\def\footnote{\@ifnextchar[{\@xfootnote}{\real@refstepcounter
+ {\@mpfn}\xdef\@thefnmark{\thempfn}\@footnotemark\@footnotetext}}
+\def\footnotemark{\@ifnextchar[{\@xfootnotemark
+ }{\real@refstepcounter{footnote}\xdef\@thefnmark{\thefootnote}\@footnotemark}}
+\def\footnoterule{\kern-3\p@
+ \hrule \@width 3pc % The \hrule has default \@height of 0.4pt.
+ \kern 2.6\p@}
+ \let\report@elt\@gobble
+\newenvironment{NoHyper}{}{}
+\def\frontmatter{%
+ \NoHyper
+ \let\@corresp@note\relax
+ \global\t@glob@notes={}\global\c@author\z@
+ \global\c@collab\z@ \global\c@address\z@
+ \sv@mathsurround\mathsurround \m@th
+ \global\n@author=0\n@author@\relax
+ \global\n@collab=0\n@collab@\relax
+ \global\advance\n@author\m@ne % In comparisons later on we need
+ \global\advance\n@collab\m@ne % n@author-1 and n@collab-1
+ \global\@firstauthortrue % set to false by first \author or \collab
+ \global\@hasabstractfalse % Default: no abstract or keywords
+ \global\@haskeywordsfalse % Default: no abstract or keywords
+ \global\@prefacefalse % not preface
+ \ifnum\c@firstpage=\c@lastpage
+ \gdef\@pagerange{\@pagenumprefix\ESpagenumber{firstpage}}
+ \else
+ \gdef\@pagerange{\@pagenumprefix
+ \ESpagenumber{firstpage}--\@pagenumprefix\ESpagenumber{lastpage}}%
+ \fi
+ \parskip 4\p@
+ \open@fm \ignorespaces}
+\def\preface{\@prefacetrue}
+\def\endfrontmatter{%
+ \ifx\@runauthor\relax
+ \global\let\@runauthor\@runningauthor
+ \fi
+ \global\n@author=\c@author
+ \global\n@collab=\c@collab \@writecount
+ \global\@topnum\z@
+ \thispagestyle{copyright}% % Format rest of front matter:
+ \if@preface \else % IF not preface THEN
+ \vskip \@overhistoryskip
+ \history@fmt % print history (received, ...)
+ \newcount\c@sv@footnote
+ \global\c@sv@footnote=\c@footnote % save current footnote number
+ \if@hasabstract % IF abstract/ keywords THEN
+ \vskip \@preabstractskip % Space above rule
+ \hrule height 0.4\p@ % Rule above abstract/keywords
+ \vskip 8\p@
+ \unvbox\t@abstract % print abstract, if any
+ \fi
+ \if@haskeywords % IF keywords THEN
+ \vskip \@overkeywordskip
+ \unvbox\t@keyword % Keyword abstract, if any
+ \fi % FI
+ \vskip 10\p@
+ \hrule height 0.4\p@ % rule below abstract/keywords
+ \dedicated@fmt % print dedication
+ \vskip \@belowfmskip % Vertical space below frontmatter
+\fi % FI
+ \close@fm % Close front matter material.
+ \output@glob@notes % Put notes at bottom of 1st page
+ \global\c@footnote=\c@sv@footnote % restore footnote number
+ \global\@prefacefalse
+ \global\leftskip\z@ % Restore the normal values of
+ \global\@rightskip\z@ % \leftskip,
+ \global\rightskip\@rightskip % \rightskip and
+ \global\mathsurround\sv@mathsurround % \mathsurround.
+ \let\title\relax \let\author\relax
+ \let\collab\relax \let\address\relax
+ \let\frontmatter\relax \let\endfrontmatter\relax
+ \let\@maketitle\relax \let\@@maketitle\relax
+ \normal@text
+}
+\let\maketitle\relax
+\newdimen\t@xtheight
+\t@xtheight\textheight \advance\t@xtheight-\splittopskip
+\def\open@fm{\global\setbox\fm@box=\vbox\bgroup
+ \hsize=\@frontmatterwidth % Front matter is page-wide by default
+ \centering % and centered
+ \sv@hyphenpenalty\hyphenpenalty % (save \hyphenpenalty)
+ \hyphenpenalty\@M} % and not hyphenated
+\def\close@fm{\egroup % close \vbox (\fm@box)
+ \fm@size=\dp\fm@box \advance\fm@size by \ht\fm@box
+ \@whiledim\fm@size>\t@xtheight \do{%
+ \global\setbox\@tempboxa=\vsplit\fm@box to \t@xtheight
+ \unvbox\@tempboxa \newpage
+ \fm@size=\dp\fm@box \advance\fm@size by \ht\fm@box}
+ \if@TwoColumn
+ \emergencystretch=1pc \twocolumn[\unvbox\fm@box]
+ \else
+ \unvbox\fm@box
+ \fi}
+\def\output@glob@notes{\bgroup
+ \the\t@glob@notes
+ \egroup}
+\def\justify@off{\let\\=\@normalcr
+ \leftskip\z@ \@rightskip\@flushglue \rightskip\@rightskip}
+\def\justify@on{\let\\=\@normalcr
+ \leftskip\z@ \@rightskip\z@ \rightskip\@rightskip}
+\def\normal@text{\global\let\\=\@normalcr
+ \global\leftskip\z@ \global\@rightskip\z@ \global\rightskip\@rightskip
+ \global\parfillskip\@flushglue}
+\def\@writecount{\write\@mainaux{\string\global
+ \string\@namedef{n@author@}{\the\n@author}}%
+ \write\@mainaux{\string\global\string
+ \@namedef{n@collab@}{\the\n@collab}}}
+\def\title#1{%
+ \beg@elem
+ \title@note@fmt % formatting instruction
+ \add@tok\t@glob@notes % for \thanks commands
+ {\title@note@fmt}%
+ \proc@elem{title}{#1}%
+ \def\title@notes{\the\t@loc@notes}% % store the notes of the title,
+ \title@fmt{\@title}{\title@notes}% % print the title
+ \ignorespaces}
+\def\subtitle#1{%
+ \beg@elem
+ \proc@elem{subtitle}{#1}%
+ \def\title@notes{\the\t@loc@notes}% % store the notes of the title,
+ \subtitle@fmt{\@subtitle}{\title@notes}% print the title
+ \ignorespaces}
+\newdimen \@logoheight \@logoheight 5pc
+\def\@Lhook{\vrule \@height \@logoheight \@width \z@ \vrule \@height 10\p@ \@width 0.2\p@ \vrule \@height 0.2\p@ \@width 10pt}
+\def\@Rhook{\vrule \@height 0.2\p@ \@width 10\p@ \vrule \@height 10\p@ \@width 0.2\p@ \vrule \@height \@logoheight \@width \z@}
+\def\title@fmt#1#2{%
+\@ifundefined{@runtitle}{\global\def\@runtitle{#1}}{}%
+ \vspace*{12pt} % Vertical space above title
+ {\@titlesize #1\,\hbox{$^{#2}$}\par}%
+ \vskip\@undertitleskip
+\vskip24\p@ % Vertical space below title
+ }
+\def\subtitle@fmt#1#2{% % No vertical space above sub-title
+ {\@titlesize #1\,\hbox{$^{#2}$}}\par}
+\def\title@note@fmt{\def\thefootnote{\fnstar{footnote}}}
+\def\author{\@ifnextchar[{\author@optarg}{\author@optarg[]}}
+\def\author@optarg[#1]#2{\stepcounter{author}%
+ \beg@elem
+ \@for\@tempa:=#1\do{\expandafter\add@thanksref\expandafter{\@tempa}}%
+ \report@elt{author}\proc@elem{author}{#2}%
+ \@tempcnta=\n@author@
+ \ifnum\c@collab=\z@
+ \begingroup\no@harm
+ \if@firstauthor
+ \global\let\@runningauthor\@author
+ \else
+ \let\@foo\@runningauthor
+ \ifnum\@tempcnta > 2
+ \ifnum\the\c@author = 2
+ \global\edef\@runningauthor{\@foo\ et al.}%
+ \fi
+ \else
+ \global\edef\@runningauthor{\@foo\ \& \noexpand\@author}%
+ \fi
+ \fi
+ \fi
+ \endgroup
+ \author@fmt{\the\c@author}{\the\t@loc@notes}{\@author}}% removed by SP \ignorespaces
+\def\author@fmt#1#2#3{\@newelemtrue
+ \if@firstauthor
+ \first@author \global\@firstauthorfalse \fi
+ \ifnum\prev@elem=\e@author \global\@newelemfalse \fi
+ \if@newelem \author@fmt@init \fi
+ \edef\@tempb{#2}\ifx\@tempb\@empty
+ \hbox{{\author@font #3}}\else
+ \hbox{{\author@font #3}\,$^{\mathrm{#2}}$}%
+ \fi}
+\def\first@author{\author@note@fmt % re-define \thefootnote as
+ % appropriate for author/address
+ \add@tok\t@glob@notes
+ {\author@note@fmt\@corresp@note}}%
+\def\author@fmt@init{%
+ \par
+ \vskip 8\p@ \@plus 4\p@ \@minus 2\p@
+ \@authorsize
+ \leavevmode} % Vertical space above author list
+ \def\and{\unskip~and~}
+\def\collab{\@ifstar{\collab@arg}{\collab@arg}}
+\let\collaboration=\collab
+\def\collab@arg#1{\stepcounter{collab}%
+ \if@firstauthor \first@collab \global\@firstauthorfalse \fi
+ \gdef\@runningauthor{#1}%
+ \beg@elem
+ \proc@elem{collab}{#1}%
+ \collab@fmt{\the\c@collab}{\the\t@loc@notes}{\@collab}%
+ \ignorespaces}
+\def\collab@fmt#1#2#3{\@newelemtrue
+ \ifnum\prev@elem=\e@collab \global\@newelemfalse \fi
+ \if@newelem \collab@fmt@init \fi
+ \par % Start new paragraph
+ {\large #3\,$^{\mathrm{#2}}$}}
+\def\first@collab{
+ \collab@note@fmt % re-define \thefootnote as
+ \add@tok\t@glob@notes % appropriate for collab/address
+ {\collab@note@fmt}}%
+\def\collab@fmt@init{\vskip 1em} % Vertical space above list
+\def\author@note@fmt{\setcounter{footnote}{0}%
+ \def\thefootnote{\xarabic{footnote}}}
+\let\collab@note@fmt=\author@note@fmt
+\def\xarabic#1{%
+ \expandafter\expandafter\expandafter\ifnum\expandafter\the\@nameuse{c@#1}<0
+ *\else\arabic{#1} \fi}
+\def\xalph#1{%
+ \expandafter\expandafter\expandafter\ifnum\expandafter\the\@nameuse{c@#1}<0
+ *\else\alph{#1} \fi}
+\def\xfnsymbol#1{%
+ \expandafter\expandafter\expandafter\ifnum\expandafter\the\@nameuse{c@#1}<0
+ *\else\fnsymbol{#1} \fi}
+\def\address{\@ifstar{\address@star}%
+ {\@ifnextchar[{\address@optarg}{\address@noptarg}}}
+\def\address@optarg[#1]#2{\real@refstepcounter{address}%
+ \beg@elem
+ \report@elt{address}\proc@elem{address}{#2}%
+ \address@fmt{\c@address}{\the\t@loc@notes}{\@address}{#1}%
+ \if@Elproofing\else\label{#1}\fi
+ \ignorespaces}
+\def\address@noptarg#1{\real@refstepcounter{address}%
+ \beg@elem
+ \proc@elem{address}{#1}%
+ \address@fmt{\z@}{\the\t@loc@notes}{\@address}{\theaddress}%
+ \ignorespaces}
+\def\address@star#1{%
+ \beg@elem
+ \proc@elem{address}{#1}%
+ \address@fmt{\m@ne}{\the\t@loc@notes}{\@address}{*}%
+ \ignorespaces}
+\def\theaddress{\alph{address}}
+\def\address@fmt#1#2#3#4{\@newelemtrue
+ \if@Elproofing\def\@eltag{#4}\else\def\@eltag{\theaddress}\fi
+ \ifnum\prev@elem=\e@address \@newelemfalse \fi
+ \if@newelem \address@fmt@init \fi
+ \noindent \bgroup \@addressstyle
+ \ifnum#1=\z@
+ #3\,$^{\mathrm{#2}}$\space%
+ \else
+ \ifnum#1=\m@ne
+ $^{\phantom{\mathrm{\@eltag}}}$\space #3\,$^{\mathrm{#2}}$%
+ \else
+ $^{\mathrm{\@eltag}}\space$#3\,$^{\mathrm{#2}}$%
+ \fi
+ \fi
+ \par \egroup}
+\def\address@fmt@init{%
+ \par % Start new paragraph
+ \vskip 6\p@ \@plus 3\p@ \@minus 1.5pt}
+\def\abstract{\@ifnextchar[{\@abstract}{\@abstract[]}}
+\def\@abstract[#1]{%
+ \global\@hasabstracttrue
+ \hyphenpenalty\sv@hyphenpenalty % restore \hyphenpenalty
+ \global\setbox\t@abstract=\vbox\bgroup
+ \leftskip\z@
+ \@rightskip\z@ \rightskip\@rightskip \parfillskip\@flushglue
+ \small
+ \parindent 1em % \parindent in abstract
+ \noindent {\bfseries\abstractname} % caption `Abstract' (bold)
+ \vskip 0.5\@bls % half a line of space below
+ \noindent\ignorespaces}
+ \def\endabstract{\par \egroup}
+\def\keyword{%
+ \global\@haskeywordstrue % Implies rules are to be printed
+ \hyphenpenalty\sv@hyphenpenalty % restore \hyphenpenalty
+ \def\sep{\unskip, } % separator for multiple keywords
+ \def\MSC{\par\leavevmode\hbox {\it 1991 MSC:\ }}%
+ \def\PACS{\par\leavevmode\hbox {\it PACS:\ }}%
+ \global\setbox\t@keyword=\vbox\bgroup
+ \@keywordsize
+ \parskip\z@
+ \vskip 10\p@ \@plus 2\p@ \@minus 2\p@ % One line of space above keywords.
+ \noindent\@keywordheading
+ \justify@off % Keywords are not justified.
+ \ignorespaces}
+\def\endkeyword{\par \egroup}
+\def\runtitle#1{\gdef\@runtitle{#1}}
+\def\runauthor#1{\gdef\@runauthor{#1}}
+\let\@runauthor\relax
+\let\@runtitle\relax
+\let\@runningauthor\relax
+\def\RUNDATE{}
+\def\RUNJNL{}
+\def\RUNART{}
+\def\journal#1{\gdef\@journal{#1}}
+\def\volume#1{\gdef\@volume{#1}} \def\@volume{0}
+\def\issue#1{\gdef\@issue{#1}} \def\@issue{0}
+\newcount\@pubyear
+\newcount\@shortyear
+\@pubyear=\number\year
+\def\company#1{\def\@company{#1}}
+\def\@copyrightyear{\number\year}
+\@shortyear\@pubyear
+\advance\@shortyear-1900
+\def\pubyear#1{\global\@pubyear#1
+ \global\@shortyear\@pubyear
+ \global\advance\@shortyear-1900
+ \ignorespaces}
+\def\copyear#1{%
+ \gdef\@copyrightyear{#1}%
+ \ignorespaces}
+\let\copyrightyear\copyear
+\newcounter{firstpage}
+\newcounter{lastpage}
+\let\ESpagenumber\arabic
+\def\firstpage#1{\def\@tempa{#1}\ifx\@tempa\@empty\else
+ \setcounter{firstpage}{#1}%
+ \global\c@page=#1 \ignorespaces\fi}
+\setcounter{firstpage}{1}
+\let\realpageref\pageref
+\setcounter{lastpage}{0}
+\def\lastpage#1{\def\@tempa{#1}\ifx\@tempa\@empty\else
+ \setcounter{lastpage}{#1}\ignorespaces\fi
+ }
+\AtEndDocument{%
+ \clearpage
+ \addtocounter{page}{-1}%
+ \immediate\write\@auxout{%
+ \string\global\string\c@lastpage=\the\c@page}%
+ \addtocounter{page}{1}%
+}
+\def\date#1{\gdef\@date{#1}} \def\@date{\today}
+\def\aid#1{}
+\def\ssdi#1#2{}
+\def\received#1{\def\@tempa{#1}\ifx\@tempa\@empty\else\gdef\@received{#1}\fi}
+ \def\@received{\relax}
+\def\revised#1{\def\@tempa{#1}\ifx\@tempa\@empty\else\gdef\@revised{#1}\fi}
+ \def\@revised{\relax}
+\def\accepted#1{\def\@tempa{#1}\ifx\@tempa\@empty\else\gdef\@accepted{#1}\fi}
+ \def\@accepted{\relax}
+\def\communicated#1{\def\@tempa{#1}\ifx\@tempa\@empty\else\gdef\@communicated{#1}\fi}
+ \def\@communicated{\relax}
+\def\dedicated#1{\def\@tempa{#1}\ifx\@tempa\@empty\else\gdef\@dedicated{#1}\fi}
+ \def\@dedicated{\relax}
+\def\presented#1{\def\@tempa{#1}\ifx\@tempa\@empty\else\gdef\@presented{#1}\fi}
+ \def\@presented{\relax}
+\def\articletype#1{\gdef\@articletype{#1}}
+ \@ifundefined{@articletype}{\def\@articletype{}}{}
+\def\received@prefix{Received~}
+\def\revised@prefix{; revised~}
+\def\accepted@prefix{; accepted~}
+\def\communicated@prefix{; communicated~by~}
+\def\history@prefix{}
+\def\received@postfix{}
+\def\revised@postfix{}
+\def\accepted@postfix{}
+\def\communicated@postfix{}
+\def\history@postfix{}
+\def\empty@data{\relax}
+\def\history@fmt{%
+ \bgroup
+ \@historysize
+ \vskip 6\p@ \@plus 2\p@ \@minus 1\p@ % Vertical space above history
+ \ifx\@received\empty@data \else % If there is no \received,
+ % do not print anything
+ \leavevmode
+ \history@prefix
+ \received@prefix\@received \received@postfix%
+ \ifx\@revised\empty@data \else
+ \revised@prefix\@revised \revised@postfix%
+ \fi
+ \ifx\@accepted\empty@data \else
+ \accepted@prefix\@accepted \accepted@postfix%
+ \fi
+ \ifx\@communicated\empty@data \else
+ \communicated@prefix\@communicated \communicated@postfix%
+ \fi
+ \history@postfix
+ \fi
+ \par \egroup}
+\def\dedicated@fmt{%
+ \ifx\@dedicated\empty@data \else
+ \vskip 4\p@ \@plus 3\p@
+ \normalsize\it\centering \@dedicated
+ \fi}
+\def\@ialph#1{\ifcase#1\or \or \or \or \or e\or f\or g\or h\or i\or j\or
+k\or \ell\or m\or n\or o\or p\or q\or r\or s\or t\or u\or v\or w\or x\or
+y\or z\or aa\or ab\or ac\or ad\or ae\or af\or ag\or ah\or ai\or aj\or
+ak\or a\ell\or am\or an\or ao\or ap\or aq\or ar\or as\or at\or au\or av\or
+aw\or ay\or az\or ba\or bb\or bc\or bd\or be\or bf\or bg\or bh\or bi\or
+bj\or bk\or b\ell\or bm\or bn\or bo\or bp\or bq\or br\or bs\or bt\or
+bu\or bw\or bx\or by\or bz\or ca\or cb\or cc\or cd\or ce\or cf\or cg\or
+ch\or ci\or cj\or ck\or c\ell\or cm\or cn\or co\or cp\or cq\or cr\or
+cs\or ct\or cu\or cw\or cx\or cy\or czda\or db\or dc\or dd\or de\or df\or dg\ordh\or di\or dj\or dk\or
+d\ell\or dm\or dn\or do\or dp\or dq\or dr\or ds\or dt\or du\or dw\or
+dx\or dy\or dz\or ea\or eb\or ec\or ed\or ee\or ef\or eg\or eh\or
+ei\or ej\or ek\or e\ell\or em\or en\or eo\or ep\or eq\or er\or es\or
+et\or eu\or ew\or ex\or ey\or ez\else\@ctrerr\fi}
+\def\fnstar#1{\@fnstar{\@nameuse{c@#1}}}
+\def\@fnstar#1{\ifcase#1\or
+ \hbox{$\star$}\or
+ \hbox{$\star\star$}\or
+ \hbox{$\star\star\star$}\or
+ \hbox{$\star\star\star\star$}\or
+ \hbox{$\star\star\star\star\star$}\or
+ \hbox{$\star\star\star\star\star\star$}
+ \else
+ \@ctrerr
+ \fi
+ \relax}
+\mark{{}{}} % Initializes TeX's marks
+\def\ps@plain{\let\@mkboth\@gobbletwo
+ \def\@oddhead{}%
+ \def\@evenhead{}%
+ \def\@oddfoot{\hfil {\rmfamily\thepage} \hfil}%
+ \let\@evenfoot\@oddfoot}
+\def\@copyright{\@issn/\the\@shortyear/\$\@price\ $\copyright$\ \the\@pubyear\
+ \@company{} All rights reserved}
+\def\@jou@vol@pag{\@journal\ \@volume\ (\the\@pubyear)\ \@pagerange}
+\def\sectionmark#1{}
+\def\subsectionmark#1{}
+\let\@j@v@p\@jou@vol@pag % long journal title appears in reprint line
+\let\@@j@v@p\@jou@vol@pag % long journal title appears in running headline
+\def\sectionmark#1{}
+\def\subsectionmark#1{}
+\def\ps@copyright{\let\@mkboth\@gobbletwo
+ \def\@oddhead{}%
+ \let\@evenhead\@oddhead
+ \def\@oddfoot{\small\slshape
+ \def\@tempa{0}
+ \ifx\@volume\@tempa
+ Preprint submitted to \@journal\hfil\@date\/%
+ \else
+ Article published in \@jou@vol@pag\hfil\hbox{}\fi}%
+ \let\@evenfoot\@oddfoot
+}
+\let\ps@noissn\ps@empty
+\let\ps@headings\ps@plain
+\def\today{\number\day\space\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\year}
+\def\nuc#1#2{\relax\ifmmode{}^{#1}{\protect\text{#2}}\else${}^{#1}$#2\fi}
+\def\itnuc#1#2{\setbox\@tempboxa=\hbox{\scriptsize\it #1}
+ \def\@tempa{{}^{\box\@tempboxa}\!\protect\text{\it #2}}\relax
+ \ifmmode \@tempa \else $\@tempa$\fi}
+\let\old@vec\vec % save old definition of \vec
+\def\pol#1{\old@vec{#1}}
+\def\half{{\textstyle\frac{1}{2}}}
+\def\threehalf{{\textstyle\frac{3}{2}}}
+\def\quart{{\textstyle\frac{1}{4}}}
+\def\d{\,\mathrm{d}}
+\def\e{\mathop{\mathrm{e}}\nolimits}
+\def\int{\intop}
+\def\oint{\ointop}
+\newbox\slashbox \setbox\slashbox=\hbox{$/$}
+\newbox\Slashbox \setbox\Slashbox=\hbox{\large$/$}
+\def\pFMslash#1{\setbox\@tempboxa=\hbox{$#1$}
+ \@tempdima=0.5\wd\slashbox \advance\@tempdima 0.5\wd\@tempboxa
+ \copy\slashbox \kern-\@tempdima \box\@tempboxa}
+\def\pFMSlash#1{\setbox\@tempboxa=\hbox{$#1$}
+ \@tempdima=0.5\wd\Slashbox \advance\@tempdima 0.5\wd\@tempboxa
+ \copy\Slashbox \kern-\@tempdima \box\@tempboxa}
+\def\FMslash{\protect\pFMslash}
+\def\FMSlash{\protect\pFMSlash}
+ \def\Cset{\mathbb{C}}
+ \def\Hset{\mathbb{H}}
+ \def\Nset{\mathbb{N}}
+ \def\Qset{\mathbb{Q}}
+ \def\Rset{\mathbb{R}}
+ \def\Zset{\mathbb{Z}}
+\if@TwoColumn
+ \adjdemerits=100
+ \linepenalty=100
+ \doublehyphendemerits=5000 % experimental (1993-12-14)
+ \emergencystretch=1.6pc
+ \spaceskip=0.3em \@plus 0.17em \@minus 0.12em
+\fi
+\@frontmatterwidth\textwidth
+\ps@headings % 'headings' page style
+\pagenumbering{arabic} % Arabic page numbers
+\def\thepage{\@pagenumprefix\ESpagenumber{page}} % preceded by \@pagenumprefix
+\InputIfFileExists{\@shortjid.cfg}{}{}
+\endinput
+%%
+%% End of file `elsart.cls'.
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+%%Creator: ROOT Version 5.21/01
+%%CreationDate: Sat Nov 15 12:34:51 2008
+%%EndComments
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+ /Helvetica-Oblique /Helvetica-Bold /Helvetica-BoldOblique /Courier /Courier-Oblique /Courier-Bold /Courier-BoldOblique /Times-Roman /AvantGarde-Book /AvantGarde-BookOblique /AvantGarde-Demi /AvantGarde-DemiOblique /Bookman-Demi
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+\documentclass{elsart}
+\usepackage{epsfig,amssymb,amsmath}
+\usepackage{rotating}
+\usepackage{listings}
+\usepackage{booktabs}
+\usepackage{fancyhdr}
+
+\usepackage{float}
+
+\begin{document}
+
+
+\section{ Alice TPC Performance}
+
+
+% Chapter 11: Performance ps file
+%Editors: Marian Ivanov and Marek Kowalski
+% 1. double hit resolution
+% 2. tracking efficiency
+% 3. momentum resolution
+% 4. dE/dx resolution
+% 5. vertex Resolution
+
+
+\subsection{Performance}
+
+\subsubsection{tracking performance}
+
+Main issue show the performance and compare the MC and real data
+\begin{itemize}
+\item Space point resolution parameterization.
+ \begin{itemize}
+ \item Plots 1 : 2 2D plots -Y, Z resolution (Z and Angle dependence)
+ \item Plots 2 : 2 1D plots -Y and Z resolution Z dependence (cosmic and MC data)
+ \end{itemize}
+\item Track parameter resolution.
+ \begin{itemize}
+ \item Primary vertex: $DCA_r$, $DCA_z$,
+ \item Angular: $\phi$, $theta$,
+ \item Momentum: $1/p_{t}$
+ \item Systematic effects discussion
+ \end{itemize}
+ \begin{itemize}
+ \item Plot: Resolution as function of drift length (5) - MC and Real data in the same plots
+ \item Plot: Resolution as function of the $p_t$ - MC and real data in the same plots
+ + fit of the resolution $\sigma^2 \approx \sigma^2_0+\sigma^2_1/p_{t}$
+ \item Plot: Normalized resolution (pulls) as function of the $p_t$ - MC and real data in the same plots
+ + fit of the resolution $\sigma^2 \approx \sigma^2_0+\sigma^2_1/p_{t}$
+ \item Table: $\sigma_0$ and $\sigma_1$ - MC and cosmic data
+ \end{itemize}
+\end{itemize}
+
+
+
+\subsubsection{PID performance}
+\begin{itemize}
+\item dEdx as function of beta gama - MC and cosmic
+\item Gain calibration. (Pad by pad, angular and position correction of energy deposit,time dependence of gas gain, dEdx equalization -short, medium, long pads)
+\item dEdx - Truncated mean - comparison of different truncation + maybe other methods - likelihood, weighted mean
+\item
+
+\end{itemize}
+
+
+\subsubsection{tracking efficiency}
+\subsection{ double hit resolution}
+Not enough data to study it. I think we should not include it
+
+
+
+\section{ Alice TPC Performance}
+
+
+
+The TPC performance was studied using the cosmic tracks.
+Cosmic tracks are reconstructed independently in two halves of the TPC.
+Both tracks are propagated independently to the DCA (Distance of Closest approach) to point (0,0). Paramaters of the tracks are compared in the DCA point.
+
+
+The TPC fiducial volume was restricted. Following selection criteria were used in the study:
+\begin{itemize}
+\item Selection criteria on parameter matching, to reduce the randmom matching of tracks
+ \begin{itemize}
+ \item $\Delta_{y} \leq$ 3 cm
+ \item $\Delta_{z} \leq$ 15 cm
+ \item $\Delta_{\phi}\leq$ 0.1 rad
+ \item $\Delta_{\theta} \leq$ 0.1 rad
+ \item $\Delta_{1/p_t} \leq$ 0.5 1/GeV
+ \end{itemize}
+\item Selection criteria on the pulls of variables.
+ \begin{itemize}
+ \item $\Delta_{y}/\sigma_{y} \leq$ 10
+ \item $\Delta_{\phi}/\sigma_{\phi} \leq$ 10
+ \item $\Delta_{1/p_t}/\sigma_{1/p_t} \leq$ 10
+ \end{itemize}
+\item Selection criteria on geometrical acceptance.
+ \begin{itemize}
+ \item $Z_{inner}\leq$ 240 cm and $Z_{outer}\leq$ 240 cm- Tracks in TPC fiducial volume
+ \item $DCA_r \leq$ 70 cm
+ \end{itemize}
+\end{itemize}
+
+\begin{figure}
+ \centering\epsfig{figure=pic/NCl_Radius.eps,width=0.5\linewidth}
+ \centering\epsfig{figure=pic/NCl_Z.eps,width=0.5\linewidth}
+ \caption{Number of TPC clusters as function of the DCA.
+ Number of clusters as function of z done with DCA$_R$ selection less than 70 cm}
+ \label{figNCLDCA}
+\end{figure}
+
+\begin{figure}
+ \centering\epsfig{figure=pic/Sigma1Pt_N.eps,width=0.5\linewidth}
+ \centering\epsfig{figure=pic/Pull1Pt_N.eps,width=0.5\linewidth}
+ \caption{$P_{t}$ resolution as function of number of clusters. This number is dominated
+ by the fraction of the track in the dead zone.}
+ \label{figPtResNCL}
+\end{figure}
+
+The tracking performance depends on the track topology.
+\begin{itemize}
+\item Space point resolution. Space point error parameterization was determined by fitting the space point residuals for different topologies. (see ?).
+\begin{itemize}
+\item Z position of space points.
+\item Local track inclination angle.
+\end{itemize}
+\item Level arm- the distance between last and first point on track.
+ The momentum resolution depends on $1/L^2$ and angular resolution on$1/L$.
+\item The fraction of the track in the dead zone, between TPC chambers.
+ (see pic. \ref{figPtResNCL}).
+\item The material crossed by track. On C side of the TPC (z$\leq$0) the absorber is present.
+ The multiple scattering and precision of the energy loss correction determination depends linearly on the crossed material budget. (In following study not enough statisic to investigate only tracks pointing to ITS detector)
+\end{itemize}
+
+
+In the following section the resolution and pulls as function of the z position and $1/p_{t}$ will be shown and results will be discussed. The $1/p_{t}$ variable instead of $p_{t}$ was choosen to characterize the performance as the multiple scattering and unprecission of the energy loss correction ...
+
+
+\subsection { Y resolution}
+
+YResolution in the Y coordiante is dominated mainly by the precission of the space point measurement in the TPC. Therefore the strong dependence on the z position of the track is visible (see pic \ref{figYvsZ}).
+
+
+\begin{figure}
+ \centering\epsfig{figure=pic/SigmaY_z.eps,width=0.5\linewidth}
+ \centering\epsfig{figure=pic/PullY_z.eps,width=0.5\linewidth}
+ \caption{Resolution in y coordinate - DCA$_r$ as function of z position- Drift length}
+ \label{figYvsZ}
+\end{figure}
+
+\begin{figure}
+ \centering\epsfig{figure=pic/SigmaY_1pt.eps,width=0.5\linewidth}
+ \centering\epsfig{figure=pic/PullY_1pt.eps,width=0.5\linewidth}
+ \caption{Resolution in y coordinate - DCA$_r$ as function of particle momenta}
+ \label{figYvs1Pt}
+\end{figure}
+
+
+\subsection { Z resolution}
+
+
+
+
+\begin{figure}
+ \centering\epsfig{figure=pic/SigmaZ_z.eps,width=0.5\linewidth}
+ \centering\epsfig{figure=pic/PullZ_z.eps,width=0.5\linewidth}
+ \caption{Resolution in z coordinate as function of z position- Drift length}
+ \label{figZvsZ}
+\end{figure}
+
+\begin{figure}
+ \centering\epsfig{figure=pic/SigmaZ_1pt.eps,width=0.5\linewidth}
+ \centering\epsfig{figure=pic/PullZ_1pt.eps,width=0.5\linewidth}
+ \caption{Resolution in z coordinate as function of particle momenta}
+ \label{figZvs1pt}
+\end{figure}
+
+
+
+\subsection { P$_t$ resolution}
+
+
+
+\begin{figure}
+ \centering\epsfig{figure=pic/SigmaPt_Pt.eps,width=0.5\linewidth}
+ \centering\epsfig{figure=pic/SigmaPt_PtLog.eps,width=0.5\linewidth}
+ \caption{Resolution $\Delta p_{t}/p_{t}$ as function of pt.}
+ \label{figPtvsPt}
+\end{figure}
+
+
+\begin{figure}
+ \centering\epsfig{figure=pic/Sigma1Pt_z.eps,width=0.5\linewidth}
+ \centering\epsfig{figure=pic/Pull1Pt_z.eps,width=0.5\linewidth}
+ \caption{Resolution in 1/p$_t$ as function of z position- Drift length}
+ \label{fig1PtvsZ}
+\end{figure}
+
+\begin{figure}
+ \centering\epsfig{figure=pic/Sigma1Pt_1pt.eps,width=0.5\linewidth}
+ \centering\epsfig{figure=pic/Pull1Pt_1pt.eps,width=0.5\linewidth}
+ \caption{Resolution in 1/p$_t$ as function of particle momenta}
+ \label{fig1Ptvs1pt}
+\end{figure}
+
+
+
+
+
+
+
+
+
+\end{document}
+
+
+
+
git://git.uio.no / u / mrichter / AliRoot.git / commitdiff
