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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
%%% This is PHYZZX macro package. % % % % % % % % % % % % % % % % %
%% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
%%% This version of PHYZZX should be used with Version >1.0 of TEX % %
%% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
%%% To preload both PLAIN and PHYZZX, begin your file with % % % %
%%% a line "%macropackage=phyzzx" instead of "\input phyzzx". % % % %
%% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%% Created by Vadim Kaplunovsky in June 1984. %%%%%%%%%%%%%%%%%%
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
%%%%%%%%%%%% Latest update/debug: April 27, 1988 %%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\expandafter\ifx\csname phyzzx\endcsname\relax
\message{It is better to use PHYZZX format than to
\string\input\space PHYZZX}\else
\wlog{PHYZZX macros are already loaded and are not
\string\input\space again}%
\endinput \fi
%
\catcode`\@=11 % This allows us to modify PLAIN macros.
%
\let\rel@x=\relax
\let\n@expand=\relax
\def\pr@tect{\let\n@expand=\noexpand}
\let\protect=\pr@tect
\let\gl@bal=\global
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% First, I define fonts and basic spacing parameters
%
\newfam\cpfam
%
\newdimen\b@gheight \b@gheight=12pt
\newcount\f@ntkey \f@ntkey=0
\def\f@m{\afterassignment\samef@nt\f@ntkey=}
\def\samef@nt{\fam=\f@ntkey \the\textfont\f@ntkey\rel@x}
\def\setstr@t{\setbox\strutbox=\hbox{\vrule height 0.85\b@gheight
depth 0.35\b@gheight width\z@ }}
%
\input phyzzx.fonts
% Actual font definitions are kept in a separate file
% to facilitate font substitution.
%
\def\rm{\n@expand\f@m0 }
\def\mit{\n@expand\f@m1 } \let\oldstyle=\mit
\def\cal{\n@expand\f@m2 }
\def\it{\n@expand\f@m\itfam}
\def\sl{\n@expand\f@m\slfam}
\def\bf{\n@expand\f@m\bffam}
\def\tt{\n@expand\f@m\ttfam}
\def\caps{\n@expand\f@m\cpfam} \let\cp=\caps
\def\em@{\rel@x\ifnum\f@ntkey=0 \it \else
\ifnum\f@ntkey=\bffam \it \else \rm \fi \fi }
\def\em{\n@expand\em@}
%
\def\fourteenpoint{\fourteenf@nts \samef@nt \b@gheight=14pt \setstr@t }
\def\twelvepoint{\twelvef@nts \samef@nt \b@gheight=12pt \setstr@t }
\def\tenpoint{\tenf@nts \samef@nt \b@gheight=10pt \setstr@t }
%
%
\normalbaselineskip = 20pt plus 0.2pt minus 0.1pt
\normallineskip = 1.5pt plus 0.1pt minus 0.1pt
\normallineskiplimit = 1.5pt
\newskip\normaldisplayskip
\normaldisplayskip = 20pt plus 5pt minus 10pt
\newskip\normaldispshortskip
\normaldispshortskip = 6pt plus 5pt
\newskip\normalparskip
\normalparskip = 6pt plus 2pt minus 1pt
\newskip\skipregister
\skipregister = 5pt plus 2pt minus 1.5pt
%
\newif\ifsingl@
\newif\ifdoubl@
\newif\iftwelv@ \twelv@true
%
\def\singlespace{\singl@true\doubl@false\spaces@t}
\def\doublespace{\singl@false\doubl@true\spaces@t}
\def\normalspace{\singl@false\doubl@false\spaces@t}
\def\Tenpoint{\tenpoint\twelv@false\spaces@t}
\def\Twelvepoint{\twelvepoint\twelv@true\spaces@t}
%
\def\spaces@t{\rel@x
\iftwelv@ \ifsingl@\subspaces@t3:4;\else\subspaces@t1:1;\fi
\else \ifsingl@\subspaces@t3:5;\else\subspaces@t4:5;\fi \fi
\ifdoubl@ \multiply\baselineskip by 5
\divide\baselineskip by 4 \fi }
%
\def\subspaces@t#1:#2;{
\baselineskip = \normalbaselineskip
\multiply\baselineskip by #1 \divide\baselineskip by #2
\lineskip = \normallineskip
\multiply\lineskip by #1 \divide\lineskip by #2
\lineskiplimit = \normallineskiplimit
\multiply\lineskiplimit by #1 \divide\lineskiplimit by #2
\parskip = \normalparskip
\multiply\parskip by #1 \divide\parskip by #2
\abovedisplayskip = \normaldisplayskip
\multiply\abovedisplayskip by #1 \divide\abovedisplayskip by #2
\belowdisplayskip = \abovedisplayskip
\abovedisplayshortskip = \normaldispshortskip
\multiply\abovedisplayshortskip by #1
\divide\abovedisplayshortskip by #2
\belowdisplayshortskip = \abovedisplayshortskip
\advance\belowdisplayshortskip by \belowdisplayskip
\divide\belowdisplayshortskip by 2
\smallskipamount = \skipregister
\multiply\smallskipamount by #1 \divide\smallskipamount by #2
\medskipamount = \smallskipamount \multiply\medskipamount by 2
\bigskipamount = \smallskipamount \multiply\bigskipamount by 4 }
%
\def\normalbaselines{ \baselineskip=\normalbaselineskip
\lineskip=\normallineskip \lineskiplimit=\normallineskip
\iftwelv@\else \multiply\baselineskip by 4 \divide\baselineskip by 5
\multiply\lineskiplimit by 4 \divide\lineskiplimit by 5
\multiply\lineskip by 4 \divide\lineskip by 5 \fi }
%
\Twelvepoint % That's the default
%
\interlinepenalty=50
\interfootnotelinepenalty=5000
\predisplaypenalty=9000
\postdisplaypenalty=500
\hfuzz=1pt
\vfuzz=0.2pt
\newdimen\HOFFSET \HOFFSET=0pt
\newdimen\VOFFSET \VOFFSET=0pt
\newdimen\HSWING \HSWING=0pt
\dimen\footins=8in
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Next, I define output routines, footnotes & related stuff.
%
\newskip\pagebottomfiller
\pagebottomfiller=\z@ plus \z@ minus \z@
%
\def\pagecontents{
\ifvoid\topins\else\unvbox\topins\vskip\skip\topins\fi
\dimen@ = \dp255 \unvbox255
\vskip\pagebottomfiller
\ifvoid\footins\else\vskip\skip\footins\footrule\unvbox\footins\fi
\ifr@ggedbottom \kern-\dimen@ \vfil \fi }
%
\def\makeheadline{\vbox to 0pt{ \skip@=\topskip
\advance\skip@ by -12pt \advance\skip@ by -2\normalbaselineskip
\vskip\skip@ \line{\vbox to 12pt{}\the\headline} \vss
}\nointerlineskip}
\def\makefootline{\baselineskip = 1.5\normalbaselineskip
\line{\the\footline}}
%
\newif\iffrontpage
\newif\ifp@genum
\def\nopagenumbers{\p@genumfalse}
\def\pagenumbers{\p@genumtrue}
\pagenumbers
%
\newtoks\paperheadline
\newtoks\paperfootline
\newtoks\letterheadline
\newtoks\letterfootline
\newtoks\letterinfo
\newtoks\date
%
\paperheadline={\hfil}
\paperfootline={\hss\iffrontpage\else\ifp@genum\tenrm\folio\hss\fi\fi}
\letterheadline{\iffrontpage \hfil \else
\rm \ifp@genum page~~\folio\fi \hfil\the\date \fi}
\letterfootline={\iffrontpage\the\letterinfo\else\hfil\fi}
\letterinfo={\hfil}
%
\def\monthname{\rel@x\ifcase\month 0/\or January\or February\or
March\or April\or May\or June\or July\or August\or September\or
October\or November\or December\else\number\month/\fi}
\def\today{\monthname~\number\day, \number\year}
\date={\today}
%
\headline=\paperheadline % The default is
\footline=\paperfootline % \papers
%
\countdef\pageno=1 \countdef\pagen@=0
\countdef\pagenumber=1 \pagenumber=1
\def\advancepageno{\gl@bal\advance\pagen@ by 1
\ifnum\pagenumber<0 \gl@bal\advance\pagenumber by -1
\else\gl@bal\advance\pagenumber by 1 \fi
\gl@bal\frontpagefalse \swing@ }
%
\def\folio{\ifnum\pagenumber<0 \romannumeral-\pagenumber
\else \number\pagenumber \fi }
%
\def\swing@{\ifodd\pagenumber \gl@bal\advance\hoffset by -\HSWING
\else \gl@bal\advance\hoffset by \HSWING \fi }
%
\def\footrule{\dimen@=\prevdepth\nointerlineskip
\vbox to 0pt{\vskip -0.25\baselineskip \hrule width 0.35\hsize \vss}
\prevdepth=\dimen@ }
%
\let\footnotespecial=\rel@x
\newdimen\footindent
\footindent=24pt
\def\Textindent#1{\noindent\llap{#1\enspace}\ignorespaces}
%
\def\Vfootnote#1{\insert\footins\bgroup
\interlinepenalty=\interfootnotelinepenalty \floatingpenalty=20000
\singl@true\doubl@false\Tenpoint
\splittopskip=\ht\strutbox \boxmaxdepth=\dp\strutbox
\leftskip=\footindent \rightskip=\z@skip
\parindent=0.5\footindent \parfillskip=0pt plus 1fil
\spaceskip=\z@skip \xspaceskip=\z@skip \footnotespecial
\Textindent{#1}\footstrut\futurelet\next\fo@t}
%
\def\Footnote#1{\attach{${#1}$}\Vfootnote{#1}}
\def\vfootnote#1{\Vfootnote{${#1}$}}
\def\footnote#1{\attach{#1}\vfootnote{#1}}
\def\footattach{\attach\footsymbol}
\def\foot{\attach\footsymbolgen\vfootnote{\footsymbol}}
\let\footsymbol=\star
%
\newcount\lastf@@t \lastf@@t=-1
\newcount\footsymbolcount \footsymbolcount=0
\newif\ifPhysRev
%
\def\footsymbolgen{\bumpfootsymbolcount \generatefootsymbol \footsymbol }
%
\def\bumpfootsymbolcount{\rel@x
\iffrontpage \bumpfootsymbolpos \else \advance\lastf@@t by 1
\ifPhysRev \bumpfootsymbolneg \else \bumpfootsymbolpos \fi \fi
\gl@bal\lastf@@t=\pagen@ }
\def\bumpfootsymbolpos{\ifnum\footsymbolcount <0
\gl@bal\footsymbolcount =0 \fi
\ifnum\lastf@@t<\pagen@ \gl@bal\footsymbolcount=0
\else \gl@bal\advance\footsymbolcount by 1 \fi }
\def\bumpfootsymbolneg{\ifnum\footsymbolcount >0
\gl@bal\footsymbolcount =0 \fi
\gl@bal\advance\footsymbolcount by -1 }
%
\def\fd@f#1 {\xdef\footsymbol{\mathchar"#1 }}
\def\generatefootsymbol{\ifcase\footsymbolcount \fd@f 13F \or \fd@f 279
\or \fd@f 27A \or \fd@f 278 \or \fd@f 27B \else
\ifnum\footsymbolcount <0 \fd@f{023 \number-\footsymbolcount }
\else \fd@f 203 {\loop \ifnum\footsymbolcount >5
\fd@f{203 \footsymbol } \advance\footsymbolcount by -1
\repeat }\fi \fi }
%
\def\nonfrenchspacing{\sfcode`\.=3001 \sfcode`\!=3000 \sfcode`\?=3000
\sfcode`\:=2000 \sfcode`\;=1500 \sfcode`\,=1251 }
\nonfrenchspacing
\newdimen\d@twidth
{\setbox0=\hbox{s.} \gl@bal\d@twidth=\wd0 \setbox0=\hbox{s}
\gl@bal\advance\d@twidth by -\wd0 }
\def\removehglue{\loop \unskip \ifdim\lastskip >\z@ \repeat }
\def\roll@ver#1{\removehglue \nobreak \count255 =\spacefactor \dimen@=\z@
\ifnum\count255 =3001 \dimen@=\d@twidth \fi
\ifnum\count255 =1251 \dimen@=\d@twidth \fi
\iftwelv@ \kern-\dimen@ \else \kern-0.83\dimen@ \fi
#1\spacefactor=\count255 }
\def\step@ver#1{\rel@x \ifmmode #1\else \ifhmode
\roll@ver{${}#1$}\else {\setbox0=\hbox{${}#1$}}\fi\fi }
\def\attach#1{\step@ver{\strut^{\mkern 2mu #1} }}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Here come chapter, section, subsection & appendix macros.
%
\newcount\chapternumber \chapternumber=0
\newcount\sectionnumber \sectionnumber=0
\newcount\equanumber \equanumber=0
\let\chapterlabel=\rel@x
\let\sectionlabel=\rel@x
\newtoks\chapterstyle \chapterstyle={\Number}
\newtoks\sectionstyle \sectionstyle={\Number}
\newskip\chapterskip \chapterskip=\bigskipamount
\newskip\sectionskip \sectionskip=\medskipamount
\newskip\headskip \headskip=8pt plus 3pt minus 3pt
\newdimen\chapterminspace \chapterminspace=15pc
\newdimen\sectionminspace \sectionminspace=10pc
\newdimen\referenceminspace \referenceminspace=20pc
%
\newif\ifcn@ \cn@true
\newif\ifcn@@ \cn@@false
\def\numberedchapters{\cn@true}
\def\unnumberedchapters{\cn@false\sequentialequations}
%
\def\chapterreset{\gl@bal\advance\chapternumber by 1
\ifnum\equanumber<0 \else\gl@bal\equanumber=0\fi
\sectionnumber=0 \let\sectionlabel=\rel@x
\ifcn@ \gl@bal\cn@@true {\pr@tect
\xdef\chapterlabel{\the\chapterstyle{\the\chapternumber}}}%
\else \gl@bal\cn@@false \gdef\chapterlabel{\rel@x}\fi }
%
\def\@alpha#1{\count255='140 \advance\count255 by #1\char\count255}
\def\alphabetic{\n@expand\@alpha}
\def\@Alpha#1{\count255='100 \advance\count255 by #1\char\count255}
\def\Alphabetic{\n@expand\@Alpha}
\def\@Roman#1{\uppercase\expandafter{\romannumeral #1}}
\def\Roman{\n@expand\@Roman}
\def\@roman#1{\romannumeral #1} \def\roman{\n@expand\@roman}
\def\@number#1{\number #1} \def\Number{\n@expand\@number}
\def\BLANK#1{\rel@x} \let\BLANC=\BLANK
%
\def\titleparagraphs{\interlinepenalty=9999
\leftskip=0.03\hsize plus 0.22\hsize minus 0.03\hsize
\rightskip=\leftskip \parfillskip=0pt
\hyphenpenalty=9000 \exhyphenpenalty=9000
\tolerance=9999 \pretolerance=9000
\spaceskip=0.333em \xspaceskip=0.5em }
\def\titlestyle#1{\par\begingroup \titleparagraphs
\iftwelv@\fourteenpoint\else\twelvepoint\fi
\noindent #1\par\endgroup }
%
\def\spacecheck#1{\dimen@=\pagegoal\advance\dimen@ by -\pagetotal
\ifdim\dimen@<#1 \ifdim\dimen@>0pt \vfil\break \fi\fi}
%
\def\chapter#1{\par \penalty-300 \vskip\chapterskip
\spacecheck\chapterminspace
\chapterreset \titlestyle{\ifcn@@\chapterlabel.~\fi #1}
\nobreak\vskip\headskip \penalty 30000
{\pr@tect\wlog{\string\chapter\space \chapterlabel}} }
\let\chap=\chapter
%
\def\section#1{\par \ifnum\lastpenalty=30000\else
\penalty-200\vskip\sectionskip \spacecheck\sectionminspace\fi
\gl@bal\advance\sectionnumber by 1
{\pr@tect
\xdef\sectionlabel{\ifcn@@ \chapterlabel.\fi
\the\sectionstyle{\the\sectionnumber}}%
\wlog{\string\section\space \sectionlabel}}%
\noindent {\caps\enspace\sectionlabel.~~#1}\par
\nobreak\vskip\headskip \penalty 30000 }
%
\def\subsection#1{\par
\ifnum\the\lastpenalty=30000\else \penalty-100\smallskip \fi
\noindent\undertext{#1}\enspace \vadjust{\penalty5000}}
\let\subsec=\subsection
%
\def\undertext#1{\vtop{\hbox{#1}\kern 1pt \hrule}}
%
\def\ACK{\par\penalty-100\medskip \spacecheck\sectionminspace
\line{\fourteenrm\hfil ACKNOWLEDGEMENTS\hfil}\nobreak\vskip\headskip }
\def\ack{\subsection{Acknowledgements:}}
%
\def\APPENDIX#1#2{\par\penalty-300\vskip\chapterskip
\spacecheck\chapterminspace \chapterreset \xdef\chapterlabel{#1}
\titlestyle{APPENDIX #2} \nobreak\vskip\headskip \penalty 30000
\wlog{\string\Appendix~\chapterlabel} }
\def\Appendix#1{\APPENDIX{#1}{#1}}
\def\appendix{\APPENDIX{A}{}}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Here come macros for equation numbering.
%
\def\eqname#1{\rel@x {\pr@tect
\ifnum\equanumber<0 \xdef#1{{\rm(\number-\equanumber)}}%
\gl@bal\advance\equanumber by -1
\else \gl@bal\advance\equanumber by 1
\xdef#1{{\rm(\ifcn@@ \chapterlabel.\fi \number\equanumber)}}\fi
}#1}
%
\def\eq{\eqname\?}
\def\eqn{\eqno\eqname}
\def\leqn{\leqno\eqname}
%
\def\eqinsert#1{\noalign{\dimen@=\prevdepth \nointerlineskip
\setbox0=\hbox to\displaywidth{\hfil #1}
\vbox to 0pt{\kern 0.5\baselineskip\hbox{$\!\box0\!$}\vss}
\prevdepth=\dimen@}}
%
\def\leqinsert#1{\eqinsert{#1\hfill}}
\def\mideqn#1{\eqinsert{\eqname{#1}}}
\def\midleqn#1{\leqinsert{\eqname{#1}}}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Here come items and lists
%
\def\GENITEM#1;#2{\par \hangafter=0 \hangindent=#1
\Textindent{$ #2 $}\ignorespaces}
\outer\def\newitem#1=#2;{\gdef#1{\GENITEM #2;}}
%
\let\Item=\item
\newdimen\itemsize \itemsize=30pt
\newitem\item=1\itemsize;
\newitem\sitem=1.75\itemsize; \let\subitem=\sitem
\newitem\ssitem=2.5\itemsize; \let\subsubitem\ssitem
%
\outer\def\newlist#1=#2{\toks0={#2}\toks1={#3}%
\count255=\escapechar \escapechar=-1
\alloc@0\list\countdef\insc@unt\listcount \listcount=0
\edef#1{\par
\countdef\listcount=\the\allocationnumber
\advance\listcount by 1
\hangafter=0 \hangindent=#4
\Textindent{\the\toks0{\listcount}\the\toks1}}
\expandafter\expandafter\expandafter
\edef\c@t#1{begin}{\par
\countdef\listcount=\the\allocationnumber \listcount=1
\hangafter=0 \hangindent=#4
\Textindent{\the\toks0{\listcount}\the\toks1}}
\expandafter\expandafter\expandafter
\edef\c@t#1{con}{\par \hangafter=0 \hangindent=#4 \noindent}
\escapechar=\count255}
\def\c@t#1#2{\csname\string#1#2\endcsname}
%
\newlist\point=\Number&.&1.0\itemsize;
\newlist\subpoint=(\alphabetic&)&1.75\itemsize;
\newlist\subsubpoint=(\roman&)&2.5\itemsize;
%
\let\spoint=\subpoint \let\sspoint=\subsubpoint
\let\spointbegin=\subpointbegin \let\sspointbegin=\subsubpointbegin
\let\spointcon=\subpointcon \let\sspointcon=\subsubpointcon
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Here come macros for references, figures & tables.
%
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
%% First, references.
%
\newcount\referencecount \referencecount=0
\newcount\lastrefsbegincount \lastrefsbegincount=0
\newif\ifreferenceopen \newwrite\referencewrite
\newdimen\refindent \refindent=30pt
%
\def\normalrefmark#1{\attach{\scriptscriptstyle [ #1 ] }}
\let\PRrefmark=\attach
\def\NPrefmark#1{\step@ver{{\;[#1]}}}
\def\refmark#1{\rel@x\ifPhysRev\PRrefmark{#1}\else\normalrefmark{#1}\fi}
%
\def\refend@{\refmark{\number\referencecount}}
\def\refend{\refend@{}\space }
\def\refsend{\refmark{\count255=\referencecount
\advance\count255 by-\lastrefsbegincount
\ifcase\count255 \number\referencecount
\or \number\lastrefsbegincount,\number\referencecount
\else \number\lastrefsbegincount-\number\referencecount \fi}\space }
%
\def\REFNUM#1{\rel@x \gl@bal\advance\referencecount by 1
\xdef#1{\the\referencecount }}
\def\Refnum#1{\REFNUM #1\refend@ } \let\refnum=\Refnum
\def\REF#1{\REFNUM #1\R@FWRITE\ignorespaces}
\def\Ref#1{\Refnum #1\REFWRITE }
\def\ref{\Ref\?}
\def\REFS#1{\REFNUM #1\gl@bal\lastrefsbegincount=\referencecount
\REFWRITE }
\def\refs{\REFS\?}
\def\refc{\REF\?}
\let\refscon=\refc \let\REFSCON=\REF
%
\def\r@fitem#1{\par \hangafter=0 \hangindent=\refindent \Textindent{#1}}
\def\refitem#1{\r@fitem{#1.}}
\def\NPrefitem#1{\r@fitem{[#1]}}
\def\NPrefs{\let\refmark=\NPrefmark \let\refitem=NPrefitem}
%
%
\def\REFWRITE{\R@FWRITE\rel@x }
\def\R@FWRITE#1{\ifreferenceopen \else \gl@bal\referenceopentrue
\immediate\openout\referencewrite=\jobname.refs
\toks@={\begingroup \refoutspecials \catcode`\^^M=10 }%
\immediate\write\referencewrite{\the\toks@}\fi
\immediate\write\referencewrite{\noexpand\refitem %
{\the\referencecount}}%
\p@rse@ndwrite \referencewrite #1}
%
\begingroup
\catcode`\^^M=\active \let^^M=\relax %
\gdef\p@rse@ndwrite#1#2{\begingroup \catcode`\^^M=12 \newlinechar=`\^^M%
\chardef\rw@write=#1\sc@nlines#2}%
\gdef\sc@nlines#1#2{\sc@n@line \g@rbage #2^^M\endsc@n \endgroup #1}%
\gdef\sc@n@line#1^^M{\expandafter\toks@\expandafter{\deg@rbage #1}%
\immediate\write\rw@write{\the\toks@}%
\futurelet\n@xt \sc@ntest }%
\endgroup
\def\sc@ntest{\ifx\n@xt\endsc@n \let\n@xt=\rel@x
\else \let\n@xt=\sc@n@notherline \fi \n@xt }
\def\sc@n@notherline{\sc@n@line \g@rbage }
\def\deg@rbage#1{}
\let\g@rbage=\relax \let\endsc@n=\relax
%
%
\def\refout{\par\penalty-400\vskip\chapterskip
\spacecheck\referenceminspace
\ifreferenceopen \Closeout\referencewrite \referenceopenfalse \fi
\line{\fourteenrm\hfil REFERENCES\hfil}\vskip\headskip
\input \jobname.refs
}
\def\refoutspecials{\sfcode`\.=1000 \interlinepenalty=1000
\rightskip=\z@ plus 1em minus \z@ }
%
\def\Closeout#1{\toks0={\par\endgroup}\immediate\write#1{\the\toks0}%
\immediate\closeout#1}
%
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
%% Next, figure captions and table captions.
%
\newcount\figurecount \figurecount=0
\newcount\tablecount \tablecount=0
\newif\iffigureopen \newwrite\figurewrite
\newif\iftableopen \newwrite\tablewrite
%
\def\FIGNUM#1{\rel@x \gl@bal\advance\figurecount by 1
\xdef#1{\the\figurecount}}
\def\FIGURE#1{\FIGNUM #1\F@GWRITE\ignorespaces }
\let\FIG=\FIGURE
\def\Fig{\FIGNUM\?Figure~\?\FIGWRITE }
\def\fig{\FIGNUM\?figure~\?\FIGWRITE }
\def\figitem#1{\r@fitem{#1)}}
\def\FIGWRITE{\F@GWRITE\rel@x }
%
\def\TABNUM#1{\rel@x \gl@bal\advance\tablecount by 1
\xdef#1{\the\tablecount}}
\def\TABLE#1{\TABNUM #1\T@BWRITE\ignorespaces }
\def\Table{\TABNUM\?Table~\?\TABWRITE }
\def\tabitem#1{\r@fitem{#1:}}
\def\TABWRITE{\T@BWRITE\rel@x }
%
\def\F@GWRITE#1{\iffigureopen \else \gl@bal\figureopentrue
\immediate\openout\figurewrite=\jobname.figs
\toks@={\begingroup \catcode`\^^M=10 }%
\immediate\write\figurewrite{\the\toks@}\fi
\immediate\write\figurewrite{\noexpand\figitem %
{\the\figurecount}}%
\p@rse@ndwrite \figurewrite #1}
\def\T@BWRITE#1{\iftableopen \else \gl@bal\tableopentrue
\immediate\openout\tablewrite=\jobname.tabs
\toks@={\begingroup \catcode`\^^M=10 }%
\immediate\write\tablewrite{\the\toks@}\fi
\immediate\write\tablewrite{\noexpand\tabitem %
{\the\tablecount}}%
\p@rse@ndwrite \tablewrite #1}
%
\def\figout{\par\penalty-400
\vskip\chapterskip\spacecheck\referenceminspace
\iffigureopen \Closeout\figurewrite \figureopenfalse \fi
\line{\fourteenrm\hfil FIGURE CAPTIONS\hfil}\vskip\headskip
\input \jobname.figs
}
\def\tabout{\par\penalty-400
\vskip\chapterskip\spacecheck\referenceminspace
\iftableopen \Closeout\tablewrite \tableopenfalse \fi
\line{\fourteenrm\hfil TABLE CAPTIONS\hfil}\vskip\headskip
\input \jobname.tabs
}
%
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
%% Finally, inserted figures.
%
%
\newbox\picturebox
\def\p@cht{\ht\picturebox }
\def\p@cwd{\wd\picturebox }
\def\p@cdp{\dp\picturebox }
\newdimen\xshift
\newdimen\yshift
%
\newdimen\captionwidth
\newskip\captionskip
\captionskip=15pt plus 5pt minus 3pt
\def\fullwidth{\captionwidth=\hsize }
\newtoks\Caption
\newif\ifcaptioned
\newif\ifselfcaptioned
\def\caption{\captionedtrue \Caption }
\newcount\linesabove
%
\newif\iffileexists
\newtoks\picfilename
\def\fil@#1 {\fileexiststrue \picfilename={#1}}
\def\file#1{\if=#1\let\n@xt=\fil@ \else \def\n@xt{\fil@ #1}\fi \n@xt }
%
\def\pl@t{\begingroup \pr@tect
\setbox\picturebox=\hbox{}\fileexistsfalse
\let\height=\p@cht \let\width=\p@cwd \let\depth=\p@cdp
\xshift=\z@ \yshift=\z@ \captionwidth=\z@
\Caption={}\captionedfalse
\linesabove =0 \picturedefault }
\def\plot{\pl@t \selfcaptionedfalse }
\def\Picture#1{\gl@bal\advance\figurecount by 1
\xdef#1{\the\figurecount}\pl@t \selfcaptionedtrue }
\def\picture{\Picture\?}
%
\def\s@vepicture{\iffileexists \parsefilename \redopicturebox \fi
\ifdim\captionwidth>\z@ \else \captionwidth=\p@cwd \fi
\xdef\lastpicture{\iffileexists
\setbox0=\hbox{\raise\the\yshift \vbox{%
\moveright\the\xshift\hbox{\picturedefinition}}}%
\else \setbox0=\hbox{}\fi
\ht0=\the\p@cht \wd0=\the\p@cwd \dp0=\the\p@cdp
\vbox{\hsize=\the\captionwidth \line{\hss\box0 \hss }%
\ifcaptioned \vskip\the\captionskip \noexpand\Tenpoint
\ifselfcaptioned Figure~\the\figurecount.\enspace \fi
\the\Caption \fi }}%
\endgroup }
%
\let\endpicture=\s@vepicture
\def\savepicture#1{\s@vepicture \global\let#1=\lastpicture }
\def\displaypicture{\fullwidth \s@vepicture $$\lastpicture $${}}
\def\toppicture{\fullwidth \s@vepicture \topinsert
\lastpicture \medskip \endinsert }
\def\midpicture{\fullwidth \s@vepicture \midinsert
\lastpicture \endinsert }
%
% Wraparound macros - a try.
%
\def\leftpicture{\pres@tpicture
\dimen@i=\hsize \advance\dimen@i by -\dimen@ii
\setbox\picturebox=\hbox to \hsize {\box0 \hss }%
\wr@paround }
\def\rightpicture{\pres@tpicture
\dimen@i=\z@
\setbox\picturebox=\hbox to \hsize {\hss \box0 }%
\wr@paround }
%
\def\pres@tpicture{\gl@bal\linesabove=\linesabove
\s@vepicture \setbox\picturebox=\vbox{
\kern \linesabove\baselineskip \kern 0.3\baselineskip
\lastpicture \kern 0.3\baselineskip }%
\dimen@=\p@cht \dimen@i=\dimen@
\advance\dimen@i by \pagetotal
\par \ifdim\dimen@i>\pagegoal \vfil\break \fi
\dimen@ii=\hsize
\advance\dimen@ii by -\parindent \advance\dimen@ii by -\p@cwd
\setbox0=\vbox to\z@{\kern-\baselineskip \unvbox\picturebox \vss }}
\def\wr@paround{\Caption={}\count255=1
\loop \ifnum \linesabove >0
\advance\linesabove by -1 \advance\count255 by 1
\advance\dimen@ by -\baselineskip
\expandafter\Caption \expandafter{\the\Caption \z@ \hsize }%
\repeat
\loop \ifdim \dimen@ >\z@
\advance\count255 by 1 \advance\dimen@ by -\baselineskip
\expandafter\Caption \expandafter{%
\the\Caption \dimen@i \dimen@ii }%
\repeat
\edef\n@xt{\parshape=\the\count255 \the\Caption \z@ \hsize }%
\par\noindent \n@xt \strut \vadjust{\box\picturebox }}
%
\let\picturedefault=\relax
\let\parsefilename=\relax
\def\redopicturebox{\let\picturedefinition=\rel@x
\errhelp=\disabledpictures
\errmessage{This version of TeX cannot handle pictures. Sorry.}}
\newhelp\disabledpictures
{You will get a blank box in place of your picture.}
%
%
%
% Above definitions of \parsefilename and \redopicturebox
% are dumb defaults. Actual definition are system dependent;
% you will probably find them in your PHYZZX.LOCAL file.
%
% The example below is used at Princeton.
%
%\def\parsefilename{\expandafter\p@rse\the\picfilename.\endp@rse }
%\def\p@rse#1.#2\endp@rse{\if"#2"\expandafter\picfilename
% \expandafter{\the\picfilename.fig}\fi }
%
%\newread\pictureread
%\def\redopicturebox{\expandafter\openin\expandafter\pictureread
% \the\picfilename
% \ifeof\pictureread \errhelp=\disabledpictures
% \edef\n@xt{\errmessage={Cannot find file \the\picfilename}\n@xt
% \let\pictureboxdefinition=\relax \else
% \read\pictureread to\y@p \read\pictureread to\y@p
% \read\pictureread to\x@p \read\pictureread to\y@m
% \read\pictureread to\x@m \closein\pictureread
% \p@cht=\y@p truein \advance\p@cht by -\y@m truein
% \advance\yshift by \y@p truein
% \p@cwd=\x@p truein \advance\p@cwd by -\x@m truein
% \advance\xshift by \x@m truein
% \edef\picturedefinition{\special{pos,inc=\the\picfilename}}%
% \fi }
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Here come macros for memos & letters.
%
\def\FRONTPAGE{\ifvoid255\else\vfill\penalty-20000\fi
\gl@bal\pagenumber=1 \gl@bal\chapternumber=0
\gl@bal\equanumber=0 \gl@bal\sectionnumber=0
\gl@bal\referencecount=0 \gl@bal\figurecount=0
\gl@bal\tablecount=0 \gl@bal\frontpagetrue
\gl@bal\lastf@@t=0 \gl@bal\footsymbolcount=0
\gl@bal\cn@@false }
\let\Frontpage=\FRONTPAGE
%
\def\papers{\papersize\headline=\paperheadline\footline=\paperfootline}
%
\def\papersize{\hsize=35pc \vsize=50pc \hoffset=0pc \voffset=1pc
\advance\hoffset by\HOFFSET \advance\voffset by\VOFFSET
\pagebottomfiller=0pc
\skip\footins=\bigskipamount \normalspace }
%
\papers % This is the default
%
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
%
\newskip\lettertopskip \lettertopskip=20pt plus 50pt
\newskip\letterbottomskip \letterbottomskip=\z@ plus 100pt
\newskip\signatureskip \signatureskip=40pt plus 3pt
%
\def\lettersize{\hsize=6.5in \vsize=8.5in \hoffset=0in \voffset=0.5in
\advance\hoffset by\HOFFSET \advance\voffset by\VOFFSET
\pagebottomfiller=\letterbottomskip
\skip\footins=\smallskipamount \multiply\skip\footins by 3
\singlespace }
%
\def\MEMO{\lettersize \headline=\letterheadline \footline={\hfil }%
\let\rule=\memorule \FRONTPAGE \memohead }
\let\memo=\MEMO
\def\memodate{\afterassignment\MEMO \date }
%
\def\memit@m#1{\smallskip \hangafter=0 \hangindent=1in
\Textindent{\caps #1}}
\def\subject{\memit@m{Subject:}}
\def\topic{\memit@m{Topic:}}
\def\from{\memit@m{From:}}
\def\to{\rel@x \ifmmode \rightarrow \else \memit@m{To:}\fi }
\def\memorule{\medskip\hrule height 1pt\bigskip} % default definitions
\def\memohead{\centerline{\fourteenrm MEMORANDUM}}% see phyzzx.local
%
\newwrite\labelswrite
\newtoks\rw@toks
\def\letters{\lettersize
\headline=\letterheadline \footline=\letterfootline
\immediate\openout\labelswrite=\jobname.lab}
\def\letter{\FRONTPAGE \letterhead \addressee }
\let\letterhead=\rel@x
%
\def\addressee#1{\medskip\line{\hskip 0.75\hsize plus\z@ minus 0.25\hsize
\the\date \hfil }%
\vskip \lettertopskip
\ialign to\hsize{\strut ##\hfil\tabskip 0pt plus \hsize \crcr #1\crcr}
\writelabel{#1}\medskip \noindent\hskip -\spaceskip \ignorespaces }
%
\def\rwl@begin#1\cr{\rw@toks={#1\crcr}\rel@x
\immediate\write\labelswrite{\the\rw@toks}\futurelet\n@xt\rwl@next}
\def\rwl@next{\ifx\n@xt\rwl@end \let\n@xt=\rel@x
\else \let\n@xt=\rwl@begin \fi \n@xt}
\let\rwl@end=\rel@x
\def\writelabel#1{\immediate\write\labelswrite{\noexpand\labelbegin}
\rwl@begin #1\cr\rwl@end
\immediate\write\labelswrite{\noexpand\labelend}}
%
\newtoks\FromAddress \FromAddress={}
\newtoks\sendername \sendername={}
\newbox\FromLabelBox
\newdimen\labelwidth \labelwidth=6in
%
\def\makelabels{\afterassignment\Makelabels \sendername=}
\def\Makelabels{\FRONTPAGE \letterinfo={\hfil } \MakeFromBox
\immediate\closeout\labelswrite \input \jobname.lab\vfil\eject}
\let\labelend=\rel@x
\def\labelbegin#1\labelend{\setbox0=\vbox{\ialign{##\hfil\cr #1\crcr}}
\MakeALabel }
%
\def\MakeFromBox{\gl@bal\setbox\FromLabelBox=\vbox{\Tenpoint
\ialign{##\hfil\cr \the\sendername \the\FromAddress \crcr }}}
\def\MakeALabel{\vskip 1pt \hbox{\vrule \vbox{
\hsize=\labelwidth \hrule\bigskip
\leftline{\hskip 1\parindent \copy\FromLabelBox}\bigskip
\centerline{\hfil \box0 } \bigskip \hrule
}\vrule } \vskip 1pt plus 1fil }
%
\def\signed#1{\par \nobreak \bigskip \dt@pfalse \begingroup
\everycr={\noalign{\nobreak
\ifdt@p\vskip\signatureskip\gl@bal\dt@pfalse\fi }}%
\tabskip=0.5\hsize plus \z@ minus 0.5\hsize
\halign to\hsize {\strut ##\hfil\tabskip=\z@ plus 1fil minus \z@\crcr
\noalign{\gl@bal\dt@ptrue}#1\crcr }%
\endgroup \bigskip }
%
\def\copies{\par\hang\textindent{\tenrm cc:}}
\def\endletter{\par \iffrontpage \else \vfil \fi \supereject }
%
\newbox\letterb@x
\def\lettertext{\par \vskip\parskip \unvcopy\letterb@x \par }
\def\multiletter{\setbox\letterb@x=\vbox\bgroup
\everypar{\vrule height 1\baselineskip depth 0pt width 0pt }
\singlespace \topskip=\baselineskip }
\def\letterend{\par\egroup}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Here come macros for title pages.
%
\newskip\frontpageskip
\newtoks\Pubnum \let\pubnum=\Pubnum
\newtoks\Pubtype \let\pubtype=\Pubtype
\newif\ifp@bblock \p@bblocktrue
%
\def\PH@SR@V{\doubl@true \baselineskip=24.1pt plus 0.2pt minus 0.1pt
\parskip= 3pt plus 2pt minus 1pt }
\def\PHYSREV{\papers\PhysRevtrue\PH@SR@V}
\let\physrev=\PHYSREV
\def\titlepage{\FRONTPAGE\papers\ifPhysRev\PH@SR@V\fi
\ifp@bblock\p@bblock \else\hrule height\z@ \rel@x \fi }
\def\nopubblock{\p@bblockfalse}
\def\endpage{\vfil\break}
%
\frontpageskip=12pt plus .5fil minus 2pt
\Pubtype={}
\Pubnum={}
%
\def\p@bblock{\begingroup \tabskip=\hsize minus \hsize
\baselineskip=1.5\ht\strutbox \topspace-2\baselineskip
\halign to\hsize{\strut ##\hfil\tabskip=0pt\crcr
\the\Pubnum\crcr\the\date\crcr\the\pubtype\crcr}\endgroup}
%
\def\title#1{\vskip\frontpageskip \titlestyle{#1} \vskip\headskip }
%
\def\author#1{\vskip\frontpageskip\titlestyle{\twelvecp #1}\nobreak}
\def\andauthor{\vskip\frontpageskip\centerline{and}\author}
\def\authors{\vskip\frontpageskip\noindent}
%
\def\address#1{\par\kern 5pt\titlestyle{\twelvepoint\it #1}}
\def\andaddress{\par\kern 5pt \centerline{\sl and} \address}
\def\SLAC{\address{Stanford Linear Accelerator Center\break
Stanford University, Stanford, California~94309}}
\def\JHL{\address{Joseph Henry Laboratories\break
Princeton University\break Princeton, New Jersey 08544}}
%
\def\abstract{\par\dimen@=\prevdepth \hrule height\z@ \prevdepth=\dimen@
\vskip\frontpageskip\centerline{\fourteenrm ABSTRACT}\vskip\headskip }
\def\submit#1{\par\nobreak\vfil\nobreak\medskip
\centerline{Submitted to \sl #1}}
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Miscellaneous macros
%
\def\ie{\hbox{\it i.e.}} \def\etc{\hbox{\it etc.}}
\def\eg{\hbox{\it e.g.}} \def\cf{\hbox{\it cf.}}
\def\etal{\hbox{\it et al.}} \def\dash{\hbox{---}}
\def\\{\rel@x \ifmmode \backslash \else {\tt\char`\\}\fi }
%
\def\sequentialequations{\rel@x \if\equanumber<0 \else
\gl@bal\equanumber=-\equanumber \gl@bal\advance\equanumber by -1 \fi }
%
\def\nextline{\unskip\nobreak\hfill\break}
\let\brk=\nextline
\def\subpar{\unskip\nobreak\vadjust{\allowbreak\vskip\parskip}%
\hskip\parfillskip\break}
%
\def\journal#1(#3){\begingroup \let\journal=\dummyj@urnal
\unskip, \sl #1\unskip~\bf\ignorespaces #2\rm
(\afterassignment\j@ur \count255=#3), \endgroup\ignorespaces }
\def\j@ur{\ifnum\count255<100 \advance\count255 by 1900 \fi
\number\count255 }
\def\dummyj@urnal{%
\toks@={Reference foul up: nested \journal macros}%
\errhelp={Your forgot & or ( ) after the last \journal}%
\errmessage{\the\toks@ }}
%
\def\cropen#1{\crcr\noalign{\vskip #1}}
\def\crr{\cropen{3\jot }}
\def\topspace{\hrule height 0pt depth 0pt \vskip}
%
\def\coeff#1#2{{\textstyle{#1\over #2}}}
\def\half{\coeff12 }
\def\partder#1#2{{\partial #1\over\partial #2}}
\def\Buildrel#1\under#2{\mathrel{\mathop{#2}\limits_{#1}}}
%
\def\becomes#1{\mathchoice{\becomes@\scriptstyle{#1}}
{\becomes@\scriptstyle{#1}} {\becomes@\scriptscriptstyle{#1}}
{\becomes@\scriptscriptstyle{#1}}}
\def\becomes@#1#2{\mathrel{\setbox0=\hbox{$\m@th #1{\,#2\,}$}%
\mathop{\hbox to \wd0 {\rightarrowfill}}\limits_{#2}}}
%
\def\bra#1{\left\langle #1\right|}
\def\ket#1{\left| #1\right\rangle}
\def\braket#1#2{\VEV{#1 | #2}}
\def\VEV#1{\left\langle #1\right\rangle}
\let\vev=\VEV
%
\def\Tr{\mathop{\rm Tr}\nolimits}
\def\tr{\mathop{\rm tr}\nolimits}
\let\int=\intop \let\oint=\ointop
%
\def\lsim{\mathrel{\mathpalette\@versim<}}
\def\gsim{\mathrel{\mathpalette\@versim>}}
\def\@versim#1#2{\vcenter{\offinterlineskip
\ialign{$\m@th#1\hfil##\hfil$\crcr#2\crcr\sim\crcr } }}
%
\def\big#1{{\hbox{$\left#1\vbox to 0.85\b@gheight{}\right.\n@space$}}}
\def\Big#1{{\hbox{$\left#1\vbox to 1.15\b@gheight{}\right.\n@space$}}}
\def\bigg#1{{\hbox{$\left#1\vbox to 1.45\b@gheight{}\right.\n@space$}}}
\def\Bigg#1{{\hbox{$\left#1\vbox to 1.75\b@gheight{}\right.\n@space$}}}
%
\def\){\mskip 2mu\nobreak }
%
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
%
% Finally, some bug fixings.
%
\let\sec@nt=\sec
\def\sec{\rel@x\ifmmode\let\n@xt=\sec@nt\else\let\n@xt\section\fi\n@xt}
%
\def\obsolete#1{\message{Macro \string #1 is obsolete.}}
%
\def\firstsec#1{\obsolete\firstsec \section{#1}}
\def\firstsubsec#1{\obsolete\firstsubsec \subsection{#1}}
\def\thispage#1{\obsolete\thispage \gl@bal\pagenumber=#1\frontpagefalse}
\def\thischapter#1{\obsolete\thischapter \gl@bal\chapternumber=#1}
\def\splitout{\obsolete\splitout\rel@x}
\def\prop{\obsolete\prop \propto }
%
\def\nextequation#1{\obsolete\nextequation \gl@bal\equanumber=#1
\ifnum\the\equanumber>0 \gl@bal\advance\equanumber by 1 \fi}
%
\def\BOXITEM{\afterassigment\B@XITEM\setbox0=}
\def\B@XITEM{\par\hangindent\wd0 \noindent\box0 }
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% That's about it
%
\def\phyzzx{PHY\setbox0=\hbox{Z}\copy0 \kern-0.5\wd0 \box0 X}
\def\fmtname{phyzzx} \def\fmtversion{0.94}
\everyjob{\xdef\today{\monthname~\number\day, \number\year}
\input myphyx.tex }
\message{ by V.K.}
%
\input phyzzx.local
\catcode`\@=12 % at signs are no longer letters
%
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