% springer plain-TeX makropackage cpjour2 as of 24.10.1991
% copy of the package sw
% to be used for various camera ready 2-col Springer journals
\def\SprJLogoname{CPJour2}%                      Journal short name
%
\newbox\Jname%                                  Macro Logo
\newbox\Sname%
\def\SprJLogo{%
        \setbox\Jname=\hbox{ \logobf \phantom{Shock Waves} }%
        \setbox\Sname=\hbox{ \bf \phantom{An International Journal} }%
        \ifdim\wd\Sname>\wd\Jname%
                \setbox\Jname=\hbox to\wd\Sname{\hfil\box\Jname\hfil}
        \fi
        \vbox{\hrule\hbox{\vrule\vbox{\kern3pt%
        \copy\Jname
        \hbox to\wd\Jname{\hfil\copy\Sname\hfil}%
        \smallskip
        \hbox to\wd\Jname{\hfil\phantom{m}}%
        \kern3pt}\vrule}\hrule}}%
%
%
% Keywords / Subject classification :
% 0= keywords optional; 1= keywords obligatory;
% 2= Subject Classifications (always obligatory)
% 3= PACS (always obligatory)
\def\keyob{1}
%
% Thesaurus: 0= optional; 1= obligatory; 2=not used
\def\thesob{2}
%
% Formula counter: 0= right, 1= left
\def\eqleft{0}  %changed from left to right, A. Binding, 23.11.90
%
% Begin of included file: fontb.tex
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Springer macro file: Part fontb.tex Version 1.4 (10/16/90) ERI/EDS/THS
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%% FONTS
%% The following assignments should be changed
%% if you want another kind of fonts:
%
\let\FONTS=1% COMPUTER MODERN
%%\let\FONTS=2% MONOTYPEII
%%\let\FONTS=3% MONOTYPEIII
%
%  here are the available fonts and the commands to use them:
%  -- 1 for cm-fonts
%  -- 2 for Monotype-mt-fonts (until 1989)
%  -- 3 for Monotype mt fonts version 3 (Jan. 1990)
%
\ifx 1\FONTS				% Knuth-Fonts : cm
\message{ loading cm fonts }
\font \fiverm		= cmr5
\font \fivebf		= cmbx5
\font \fivei		= cmmi5
\font \fivesy		= cmsy5
\font \fivexm		= msxm5
\font \fiveym		= msym5
 
\font \sixrm		= cmr6
\font \sixbf		= cmbx6
\font \sixi		= cmmi6
\font \sixsy		= cmsy6
\font \sixmib		= cmmib10 scaled 640
\font \sixssbf		= cmssbx10 scaled 640
\font \sixxm		= msxm6
\font \sixym		= msym6
 
\font \sevenrm		= cmr7
\font \sevenbf		= cmbx7
\font \seveni		= cmmi7
\font \sevensy		= cmsy7
\font \sevenmib		= cmmib10 scaled 700
\font \sevenssbf	= cmssbx10 scaled 700
\font \sevenxm		= msxm7
\font \sevenym		= msym7
 
\font \eightrm		= cmr8				% Small size
\font \eightbf		= cmbx8
\font \eightsl		= cmsl8
\font \eightit		= cmti8
\font \eighttt		= cmtt8
\font \eighti		= cmmi8
\font \eightsy		= cmsy8
\font \eightmib		= cmmib10 scaled 833
\font \eightbsy		= cmbsy10 scaled 833
\font \eightxm		= msxm8
\font \eightym		= msym8
 
\font \tenrm		= cmr10				% Normal size
\font \tenbf		= cmbx10
\font \tenit		= cmti10
\font \tentt		= cmtt10
\font \teni		= cmmi10
\font \tensy		= cmsy10
\font \tenmib		= cmmib10
\font \tenssbf		= cmssbx10
\font \tenbsy		= cmbsy10
\font \tenex		= cmex10
\font \tenxm		= msxm10
\font \tenym		= msym10
 
\font \twlfbf		= cmbx10 scaled \magstep1	% Subtitle
\font \twlfbxti		= cmbxti10 scaled \magstep1
\font \twlfmib		= cmmib10 scaled \magstep1
\font \twlfbsy		= cmbsy10 scaled \magstep1
\font \twlfxm		= msxm10 scaled \magstep1
\font \twlfym		= msym10 scaled \magstep1
 
\font \logobf		= cmbx10 scaled \magstep2	% Journal Logo Font
 
\font \sxtnbf		= cmbx10 scaled \magstep3	% Main title
\font \sxtnti		= cmti10 scaled \magstep3
\font \sxtnbxti		= cmbxti10 scaled \magstep3
\font \sxtnmib		= cmmib10 scaled \magstep3
\font \sxtnbsy		= cmbsy10 scaled \magstep3
\font \sxtnxm		= msxm10 scaled \magstep3
\font \sxtnym		= msym10 scaled \magstep3
%---------------------------------------------------------------------------
% this part included by Springer
% Draft definition of caps small caps for ionization level
\font \tensc = cmcsc10
\font \eightsc = cmcsc10 at 8 pt
% end of included part
%
%---------------------------------------------------------------------------
%------------------------------------------------------
\fi
 
\ifx 3\FONTS			% Monotype-Fonts : mt version 3 1990
\message{ loading monotype version 3 }
\font \fiverm		= mtr10  at 5.25pt
\font \fivebf		= mtbx10 at 5.25pt
\font \fivei		= mtmi10 at 5.25pt
\font \fivesy		= mtsy10 at 5.25pt
\font \fivexm		= mtxm10 at 5.25pt
\font \fiveym		= mtym10 at 5.25pt
\font \fivespf		= mtspbx10 at 5.25pt
 
\font \sixrm		= mtr10  at 6.5pt
\font \sixbf		= mtbx10 at 6.5pt
\font \sixi		= mtmi10 at 6.5pt
\font \sixsy		= mtsy10 at 6.5pt
\font \sixmib		= mtmib10 at 6.5pt
\font \sixssbf		= mtssbx10 at 6.5pt
\font \sixxm		= mtxm10 at 6.5pt
\font \sixym		= mtym10 at 6.5pt
\font \sixspf		= mtspbx10 at 6.5pt
 
\font \sevenrm		= mtr10  at 7.5pt
\font \sevenbf		= mtbx10 at 7.5pt
\font \seveni		= mtmi10 at 7.5pt
\font \sevensy		= mtsy10 at 7.5pt
\font \sevenmib		= mtmib10 at 7.5pt
\font \sevenssbf	= mtssbx10 at 7.5pt
\font \sevenxm		= mtxm10 at 7.5pt
\font \sevenym		= mtym10 at 7.5pt
\font \sevenspf		= mtspbx10 at 7.5pt
 
\font \eightrm		= mtr10  at 8.5pt		% Small size
\font \eightbf		= mtbx10 at 8.5pt
\font \eightsl		= mtsl10 at 8.5pt
\font \eightit		= mtti10 at 8.5pt
\font \eighttt		= mttt10 at 8.5pt
\font \eighti		= mtmi10 at 8.5pt
\font \eightsy		= mtsy10 at 8.5pt
\font \eightmib		= mtmib10 at 8.5pt
\font \eightbsy		= mtbsy10 at 8.5pt
\font \eightxm		= mtxm10 at 8.5pt
\font \eightym		= mtym10 at 8.5pt
\font \eightspf		= mtspbx10 at 8.5pt
 
\font \tenrm		= mtr10  at 10.25pt		% Normal size
\font \tenbf		= mtbx10 at 10.25pt
\font \tenit		= mtti10 at 10.25pt
\font \tentt		= mttt10 at 10.25pt
\font \teni		= mtmi10 at 10.25pt
\font \tensy		= mtsy10 at 10.25pt
\font \tenmib		= mtmib10 at 10.25pt
\font \tenssbf		= mtssbx10 at 10.25pt
\font \tenbsy		= mtbsy10 at 10.25pt
\font \tenex		= mtex10
\font \tenxm		= mtxm10 at 10.25pt
\font \tenym		= mtym10 at 10.25pt
\font \tenspf		= mtspbx10 at 10.25pt
 
\font \logobf		= mtbx10 at 15pt		% Journal Logo Font
 
\font \twlfbf		= mtbx10 at 12.75pt		% Subtitle
\font \twlfbxti		= mtbxti10 at 12.75pt
\font \twlfmib		= mtmib10 at 12.75pt
\font \twlfbsy		= mtbsy10 at 12.75pt
\font \twlfxm		= mtxm10 at 12.75pt
\font \twlfym		= mtym10 at 12.75pt
\font \twlfspf		= mtspbx10 at 12.75pt
 
\font \sxtnbf		= mtbx10 at 17pt		% Main title
\font \sxtnti		= mtti10 at 17pt
\font \sxtnbxti		= mtbxti10 at 17pt
\font \sxtnmib		= mtmib10 at 17pt
\font \sxtnbsy		= mtbsy10 at 17pt
\font \sxtnxm		= mtxm10 at 17pt
\font \sxtnym		= mtym10 at 17pt
\font \sxtnspf		= mtspbx10 at 17pt
\fi
 
\ifx 2\FONTS		% 1988/89 Mono Fonts : mt version 2 1988/89
			% pica-sizes adjusted in order to get didot size
\message{ loading monotype version 2 }
\font \fiverm		= mtr5
\font \fivebf		= mtbx5
\font \fivei		= mtmi5
\font \fivesy		= mtsy5
\font \fivexm		= msxm5
\font \fiveym		= msym5
 
\font \sixrm		= mtr7
\font \sixbf		= mtbx7
\font \sixi		= mtmi7
\font \sixsy		= mtsy7
\font \sixmib		= mtmib10 at 7pt
\font \sixssbf		= mtssbx10 at 7pt
\font \sixxm		= msxm7
\font \sixym		= msym7
 
\font \sevenrm		= mtr8
\font \sevenbf		= mtbx8
\font \seveni		= mtmi8
\font \sevensy		= mtsy8
\font \sevenmib		= mtmib10 at 8pt
\font \sevenssbf	= mtssbx10 at 8pt
\font \sevenxm		= msxm8
\font \sevenym		= msym8
 
\font \eightrm		= mtr9				% Small size
\font \eightbf		= mtbx9
\font \eightsl		= mtsl9
\font \eightit		= mtti9
\font \eighttt		= mttt9
\font \eighti		= mtmi9
\font \eightsy		= mtsy9
\font \eightmib		= mtmib10 at 9pt
\font \eightbsy		= mtbsy10 at 9pt
\font \eightxm		= msxm9
\font \eightym		= msym9
 
\font \tenrm		= mtr10 at 11pt			% Normal size
\font \tenbf		= mtbx10 at 11pt
\font \tenit		= mtti10 at 11pt
\font \tentt		= mttt10 at 11pt
\font \teni		= mtmi10 at 11pt
\font \tensy		= mtsy10 at 11pt
\font \tenmib		= mtmib10 at 11pt
\font \tenssbf		= mtssbx10 at 11pt
\font \tenbsy		= mtbsy10 at 11pt
\font \tenex		= mtex10
\font \tenxm		= msxm10 at 11pt
\font \tenym		= msym10 at 11pt
 
\font \twlfbf		= mtbx12			% Subtitle
\font \twlfbxti		= mtbxti10 at 12pt
\font \twlfmib		= mtmib10 at 12pt
\font \twlfbsy		= mtbsy10 at 12pt
\font \twlfxm		= msxm10 at 12pt
\font \twlfym		= msym10 at 12pt
 
\font \logobf		= mtbx10 at 14pt		% Journal Logo Font
 
\font \sxtnbf		= mtbx12 at 17pt		% Main title
\font \sxtnti		= mtti12 at 17pt
\font \sxtnbxti		= mtbxti10 at 17pt
\font \sxtnmib		= mtmib10 at 17pt
\font \sxtnbsy		= mtbsy10 at 17pt
\font \sxtnxm		= msxm10 at 17pt
\font \sxtnym		= msym10 at 17pt
\fi
 
% End of included file: fontb.tex
% Begin of included file: famb.tex
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Springer macro file: Part famb.tex Version 1.4 (10/16/90) ERI
%-------------------------------------------------------
% AMSTeX families
 
\newfam\msxfam
\newfam\msyfam
 
%-------------------------------------------------------
%%	main title families:
\def\sxtnbfpoint{%
\textfont0=\sxtnbf  \scriptfont0=\twlfbf    \scriptscriptfont0=\eightbf%
\textfont1=\sxtnmib \scriptfont1=\twlfmib   \scriptscriptfont1=\eightmib%
\textfont2=\sxtnbsy \scriptfont2=\twlfbsy   \scriptscriptfont2=\eightbsy%
\textfont3=\tenex   \scriptfont3=\tenex    \scriptscriptfont3=\tenex%
\textfont\msxfam=\sxtnxm \scriptfont\msxfam=\twlfxm \scriptscriptfont\msxfam=\eightxm%
\textfont\msyfam=\sxtnym \scriptfont\msyfam=\twlfym \scriptscriptfont\msyfam=\eightym%
%
\def\spf{\sxtnspf}%
\def\it{\fam\itfam\sxtnbxti}%
\textfont\itfam=\sxtnbxti%
    \baselineskip=18dd%
    \lineskip=1dd%
    \sxtnbf%
}
%-------------------------------------------------------
%%	head note family:
\def\sxtntipoint{\sxtnti%
\normalbaselineskip=18dd
\normallineskip=1dd
\normallineskiplimit=0dd
}
%-------------------------------------------------------
%%	Subtitle family:
\def\twlfbfpoint{%
\textfont0=\twlfbf  \scriptfont0=\eightbf  \scriptscriptfont0=\sixbf%
\textfont1=\twlfmib \scriptfont1=\eightmib \scriptscriptfont1=\sixmib%
%
\def\spf{\twlfspf}%
\def\it{\fam\itfam\twlfbxti}%
\textfont\itfam=\twlfbxti%
    \baselineskip=14dd%
    \lineskip=1dd%
    \twlfbf%
}
%-------------------------------------------------------
%%	title families:
\def\tenbfpoint{%
\def\spf{\tenspf}%
\textfont1=\tenmib \scriptfont1=\sevenmib \scriptscriptfont1=\sixmib%
\tenpoint\bf%
}%
%
%-------------------------------------------------------
%%	10pt families:
\def\tenpoint{%\Xfsize}%
\def\rm{\fam0\tenrm}%	normal size
\textfont0=\tenrm \scriptfont0=\sevenrm \scriptscriptfont0=\sixrm%
\textfont1=\teni  \scriptfont1=\seveni  \scriptscriptfont1=\sixi%
\textfont2=\tensy \scriptfont2=\sevensy \scriptscriptfont2=\sixsy%
\textfont\msxfam=\tenxm \scriptfont\msxfam=\sevenxm \scriptscriptfont\msxfam=\sixxm
\textfont\msyfam=\tenym \scriptfont\msyfam=\sevenym \scriptscriptfont\msyfam=\sixym
\def\spf{\tenspf}%
\def\it{\fam\itfam\tenit}%
\textfont\itfam=\tenit%
\def\bf{\fam\bffam\tenbf}%
\textfont\bffam=\tenbf%
\def\tt{\fam\ttfam\tentt}%
\textfont\ttfam=\tentt%
\def\mib{tenmib}%
%
\normalbaselineskip=10.5dd
\normallineskip=1dd
\normallineskiplimit=0dd
%
\if Y\REFEREE \baselineskip=2\baselineskip
\lineskip=2\lineskip\fi
%
\normalbaselines\rm}
 
%-------------------------------------------------------
%%	petit families:
\def\eightpoint{%
\def\rm{\fam0\eightrm}%	petit size
\textfont0=\eightrm \scriptfont0=\sixrm \scriptscriptfont0=\fiverm%
\textfont1=\eighti  \scriptfont1=\sixi  \scriptscriptfont1=\fivei%
\textfont2=\eightsy \scriptfont2=\sixsy \scriptscriptfont2=\fivesy%
\textfont\msxfam=\eightxm \scriptfont\msxfam=\sixxm \scriptscriptfont\msxfam=\fivexm
\textfont\msyfam=\eightym \scriptfont\msyfam=\sixym \scriptscriptfont\msyfam=\fiveym
\def\it{\fam\itfam\eightit}%
\textfont\itfam=\eightit%
\def\sl{\fam\slfam\eightsl}%
\textfont\slfam=\eightsl%
\def\bf{\fam\bffam\eightbf}%
\textfont\bffam=\eightbf \scriptfont\bffam=\sixbf%
\scriptscriptfont\bffam=\fivebf%
\def\tt{\fam\ttfam\eighttt}%
\textfont\ttfam=\eighttt%
\def\mib{\eightmib}%
\def\spf{\eightspf}%
%
% this part included by Springer.-Verlag, Binding
\def\sc{\egroup\hbox\bgroup\eightsc }%
% end of included part
%
%
\skewchar\eighti='177  \skewchar\sixi='177%
\skewchar\eightsy='60  \skewchar\sixsy='60%
\hyphenchar\eighttt=-1%
%
\normalbaselineskip=9dd%
\normallineskip=1dd%
\if Y\REFEREE \baselineskip=2\baselineskip
\lineskip=2\lineskip\fi
\setbox\strutbox=\hbox{\vrule height7dd depth2dd width0pt}%
 \normalbaselines\rm}%
 
\def\petit{\eightpoint}
\def\basesize{\tenpoint}
\def\begpet{\vskip6pt\petit}%		begin of a paragraph in petit
\def\endpet{\vskip6pt\basesize}%	end of a paragraph in petit
 
%-------------------------------------------------------
%%	footnote families:
\def\footfont{\eightpoint}
% End of included file: famb.tex
%
% this part included by Springer.-Verlag
\def\sc{\egroup\hbox\bgroup\tensc }
% end of included part
%
% Begin of included file: charb.tex
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Springer macro file: Part charb.tex Version 1.4 (10/16/90) ERI
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%	mathchar definitions:
%%
  \mathchardef\Gamma="0100
  \mathchardef\Delta="0101
  \mathchardef\Theta="0102
  \mathchardef\Lambda="0103
  \mathchardef\Xi="0104
  \mathchardef\Pi="0105
  \mathchardef\Sigma="0106
  \mathchardef\Upsilon="0107
  \mathchardef\Phi="0108
  \mathchardef\Psi="0109
  \mathchardef\Omega="010A
%-------------------------------------------------------------------------------
%%
\def\opdefa#1#2#3{\expandafter\gdef\csname #1\endcsname{\mathrel{\mathchoice
	{\vcenter{\offinterlineskip\halign{\hfil$\displaystyle     ####$\hfil\cr{#2}\cr{#3}\cr}}}
	{\vcenter{\offinterlineskip\halign{\hfil$\textstyle        ####$\hfil\cr{#2}\cr{#3}\cr}}}
	{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle      ####$\hfil\cr{#2}\cr{#3}\cr}}}
	{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle####$\hfil\cr{#2}\cr{#3}\cr}}}}}
}
\def\opdefb#1#2#3#4{\expandafter\gdef\csname #1\endcsname{\mathrel{\mathchoice
	{\vcenter{\offinterlineskip\halign{\hfil$\displaystyle     ####$\hfil\cr{#2}\cr #3\cr{#4}\cr}}}
	{\vcenter{\offinterlineskip\halign{\hfil$\textstyle        ####$\hfil\cr{#2}\cr #3\cr{#4}\cr}}}
	{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle      ####$\hfil\cr{#2}\cr #3\cr{#4}\cr}}}
	{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle####$\hfil\cr{#2}\cr #3\cr{#4}\cr}}}}}
}
\opdefa{la}{<}{\sim}
\opdefa{ga}{>}{\sim}
\opdefa{getsto}{\gets}{\to}
\opdefa{lid}{<}{=}
\opdefa{gid}{>}{=}
\opdefa{sol}{\sim}{<}
\opdefa{sog}{\sim}{>}
\opdefa{lse}{<}{\simeq}
\opdefa{gse}{>}{\simeq}
\opdefb{grole}{>}{\noalign{\vskip -0.15em}}{<}
\opdefb{leogr}{<}{\noalign{\vskip -0.15em}}{>}
\opdefa{loa}{<}{\approx}
\opdefa{goa}{>}{\approx}
%%
\def\sun{\hbox{$\odot$}}
\def\sq{\hbox{\rlap{$\sqcap$}$\sqcup$}}
\def\degr{\hbox{$^\circ$}}
\def\arcmin{\hbox{$^\prime$}}
\def\arcsec{\hbox{$^{\prime\prime}$}}
\def\utw{\smash{\rlap{\lower5pt\hbox{$\sim$}}}}
\def\udtw{\smash{\rlap{\lower6pt\hbox{$\approx$}}}}
\def\fd{\hbox{$.\!\!^{\rm d}$}}
\def\fh{\hbox{$.\!\!^{\rm h}$}}
\def\fm{\hbox{$.\!\!^{\rm m}$}}
\def\fs{\hbox{$.\!\!^{\rm s}$}}
\def\fdg{\hbox{$.\!\!^\circ$}}
\def\farcm{\hbox{$.\mkern-4mu^\prime$}}
\def\farcs{\hbox{$.\!\!^{\prime\prime}$}}
\def\fp{\hbox{$.\!\!^{\scriptscriptstyle\rm p}$}}
\def\cor{\mathrel{\mathchoice
	{\hbox{$\widehat=$}}{\hbox{$\widehat=$}}
	{\hbox{$\scriptstyle\hat=$}}
	{\hbox{$\scriptscriptstyle\hat=$}}}}
\def\diameter{{\ifmmode\mathchoice
	{\ooalign{\hfil\hbox{$\displaystyle/$}\hfil\crcr
		{\hbox{$\displaystyle\mathchar"20D$}}}}
	{\ooalign{\hfil\hbox{$\textstyle/$}\hfil\crcr
		{\hbox{$\textstyle\mathchar"20D$}}}}
	{\ooalign{\hfil\hbox{$\scriptstyle/$}\hfil\crcr
		{\hbox{$\scriptstyle\mathchar"20D$}}}}
	{\ooalign{\hfil\hbox{$\scriptscriptstyle/$}\hfil\crcr
		{\hbox{$\scriptscriptstyle\mathchar"20D$}}}}
	\else{\ooalign{\hfil/\hfil\crcr\mathhexbox20D}}%
\fi
}}
\def\solidqed{\quad\vbox{\hrule height 0.65em width 0.65em depth 0em}}%
\catcode`\@=11
\def\q@d{\quad{\vcenter{\vbox{\hrule height 0.25pt%
	\hbox{\vrule width 0.25pt height 0.65em \kern 0.65em%
	\vrule width 0.25pt}%
	\hrule height 0.25pt}}}}%
\def\qed{\ifmmode\q@d \else$\q@d$\fi}%
\catcode`\@=12
%-------------------------------------------------------------------------------
% Macros for other sizes
%-------------------------------------------------------------------
%%
%%
\def\vec#1{{%
\textfont0=\tenbf  \scriptfont0=\sevenbf  \scriptscriptfont0=\sixbf%
\textfont1=\tenmib \scriptfont1=\sevenmib \scriptscriptfont1=\sixmib%
\mathchoice{\hbox{$\displaystyle#1$}}{\hbox{$\textstyle#1$}}%
{\hbox{$\scriptstyle#1$}}{\hbox{$\scriptscriptstyle#1$}}}}%
 
\def\tens#1{{%
\textfont0=\tenssbf  \scriptfont0=\sevenssbf  \scriptscriptfont0=\sixssbf%
\textfont1=\tenssbf \scriptfont1=\sevenssbf \scriptscriptfont1=\sixssbf%
\mathchoice{\hbox{$\displaystyle#1$}}{\hbox{$\textstyle#1$}}%
{\hbox{$\scriptstyle#1$}}{\hbox{$\scriptscriptstyle#1$}}}}%
 
%%%%%%  black boxes
%-----------------------------------------------------------------
\def\blackquad{\leavevmode%
  \kern0.05em\vrule height0.7em depth0.2em width0.4em%
  \kern0.1em\vrule height0.7em depth0.2em width0.4em%
  \kern0.1em\vrule height0.7em depth0.2em width0.4em\kern0.05em}%
\def\refblock{\blackquad--\blackquad}
%
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%	AMSTeX Characters
%%
\catcode`\@=11
\mathchardef\Gamma="0000
\mathchardef\Delta="0001
\mathchardef\Theta="0002
\mathchardef\Lambda="0003
\mathchardef\Xi="0004
\mathchardef\Pi="0005
\mathchardef\Sigma="0006
\mathchardef\Upsilon="0007
\mathchardef\Phi="0008
\mathchardef\Psi="0009
\mathchardef\Omega="000A
\mathchardef\varGamma="0100
\mathchardef\varDelta="0101
\mathchardef\varTheta="0102
\mathchardef\varLambda="0103
\mathchardef\varXi="0104
\mathchardef\varPi="0105
\mathchardef\varSigma="0106
\mathchardef\varUpsilon="0107
\mathchardef\varPhi="0108
\mathchardef\varPsi="0109
\mathchardef\varOmega="010A
\def\hexnumber@#1{\ifcase#1 0\or1\or2\or3\or4\or5\or6\or7\or8\or9\or
 A\or B\or C\or D\or E\or F\fi}
\edef\bffam@{\hexnumber@\bffam}
\mathchardef\boldGamma="0\bffam@00
\mathchardef\boldDelta="0\bffam@01
\mathchardef\boldTheta="0\bffam@02
\mathchardef\boldLambda="0\bffam@03
\mathchardef\boldXi="0\bffam@04
\mathchardef\boldPi="0\bffam@05
\mathchardef\boldSigma="0\bffam@06
\mathchardef\boldUpsilon="0\bffam@07
\mathchardef\boldPhi="0\bffam@08
\mathchardef\boldPsi="0\bffam@09
\mathchardef\boldOmega="0\bffam@0A
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\edef\msy@{\hexnumber@\msyfam}
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%\mathchardef\rightleftharpoons="3\msx@0A
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\let\restriction\upharpoonright
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\let\Doteq\doteqdot
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\mathchardef\sqsubset="3\msx@40
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\mathchardef\vartriangleleft ="3\msx@43
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\mathchardef\triangledown="0\msx@4F
\mathchardef\eqcirc="3\msx@50
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\mathchardef\lesseqqgtr="3\msx@53
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\mathchardef\Lleftarrow="3\msx@57
\mathchardef\veebar="2\msx@59
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%\mathchardef\angle="0\msx@5C
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\mathchardef\Subset="3\msx@62
\mathchardef\Supset="3\msx@63
\mathchardef\Cup="2\msx@64
\let\doublecup\Cup
\mathchardef\Cap="2\msx@65
\let\doublecap\Cap
\mathchardef\curlywedge="2\msx@66
\mathchardef\curlyvee="2\msx@67
\mathchardef\leftthreetimes="2\msx@68
\mathchardef\rightthreetimes="2\msx@69
\mathchardef\subseteqq="3\msx@6A
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\mathchardef\bumpeq="3\msx@6C
\mathchardef\Bumpeq="3\msx@6D
\mathchardef\lll="3\msx@6E
\let\llless\lll
\mathchardef\ggg="3\msx@6F
\let\gggtr\ggg
\mathchardef\circledS="0\msx@73
\mathchardef\pitchfork="3\msx@74
\mathchardef\dotplus="2\msx@75
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\mathchardef\complement="0\msx@7B
\mathchardef\intercal="2\msx@7C
\mathchardef\circledcirc="2\msx@7D
\mathchardef\circledast="2\msx@7E
\mathchardef\circleddash="2\msx@7F
\def\ulcorner{\delimiter"4\msx@70\msx@70 }
\def\urcorner{\delimiter"5\msx@71\msx@71 }
\def\llcorner{\delimiter"4\msx@78\msx@78 }
\def\lrcorner{\delimiter"5\msx@79\msx@79 }
\def\yen{{\mathhexbox@\msx@55 }}
\def\checkmark{{\mathhexbox@\msx@58 }}
\def\circledR{{\mathhexbox@\msx@72 }}
\def\maltese{{\mathhexbox@\msx@7A }}
\mathchardef\lvertneqq="3\msy@00
\mathchardef\gvertneqq="3\msy@01
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\mathchardef\gnapprox="3\msy@1B
\mathchardef\nsim="3\msy@1C
%\mathchardef\napprox="3\msy@1D
\mathchardef\ncong="3\msy@1D
\def\napprox{\not\approx}
\mathchardef\varsubsetneq="3\msy@20
\mathchardef\varsupsetneq="3\msy@21
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\mathchardef\nRightarrow="3\msy@3B
\mathchardef\nLeftrightarrow="3\msy@3C
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\mathchardef\curvearrowright="3\msy@79
\mathchardef\digamma="0\msy@7A
\mathchardef\varkappa="0\msy@7B
\mathchardef\hslash="0\msy@7D
%\mathchardef\hbar="0\msy@7E
\mathchardef\backepsilon="3\msy@7F
%
% The following definition is more elaborated in AMS-TeX. Why?
%
\def\Bbb#1{\relax\ifmmode{\fam\msyfam #1}\else$\fam\msyfam #1$\fi}
%
% the following definitions are supplemented 05.10.90:
%
%has to be written outside if:
\newfam\sansfam
%
\ifx 1\FONTS
	% Definition of fonts for the blackboard bold characters
	\font \tensans                = cmss10
	\font \fivesans               = cmss10 at 5pt
	\font \sixsans                = cmss10 at 6pt
	\font \sevensans              = cmss10 at 7pt
	\font \ninesans               = cmss10 at 9pt
	\textfont\sansfam=\tensans\scriptfont\sansfam=\sevensans
	\scriptscriptfont\sansfam=\fivesans
	\def\sans{\fam\sansfam\tensans}
	%-----------------------------------------------------------------------
	% Definition of the blackboard bold characters
	\def\bbbr{{\rm I\!R}} %reelle Zahlen
	\def\bbbm{{\rm I\!M}}
	\def\bbbn{{\rm I\!N}} %natuerliche Zahlen
	\def\bbbf{{\rm I\!F}}
	\def\bbbh{{\rm I\!H}}
	\def\bbbk{{\rm I\!K}}
	\def\bbbp{{\rm I\!P}}
	\def\bbbone{{\mathchoice {\rm 1\mskip-4mu l} {\rm 1\mskip-4mu l}
	{\rm 1\mskip-4.5mu l} {\rm 1\mskip-5mu l}}}
	\def\bbbc{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm C$}\hbox{\hbox
	to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}
	{\setbox0=\hbox{$\textstyle\rm C$}\hbox{\hbox
	to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}
	{\setbox0=\hbox{$\scriptstyle\rm C$}\hbox{\hbox
	to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}
	{\setbox0=\hbox{$\scriptscriptstyle\rm C$}\hbox{\hbox
	to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}}}
	\def\bbbe{{\mathchoice {\setbox0=\hbox{\smalletextfont e}\hbox{\raise
	0.1\ht0\hbox to0pt{\kern0.4\wd0\vrule width0.3pt height0.7\ht0\hss}\box0}}
	{\setbox0=\hbox{\smalletextfont e}\hbox{\raise
	0.1\ht0\hbox to0pt{\kern0.4\wd0\vrule width0.3pt height0.7\ht0\hss}\box0}}
	{\setbox0=\hbox{\smallescriptfont e}\hbox{\raise
	0.1\ht0\hbox to0pt{\kern0.5\wd0\vrule width0.2pt height0.7\ht0\hss}\box0}}
	{\setbox0=\hbox{\smallescriptscriptfont e}\hbox{\raise
	0.1\ht0\hbox to0pt{\kern0.4\wd0\vrule width0.2pt height0.7\ht0\hss}\box0}}}}
	\def\bbbq{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm Q$}\hbox{\raise
	0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}}
	{\setbox0=\hbox{$\textstyle\rm Q$}\hbox{\raise
	0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}}
	{\setbox0=\hbox{$\scriptstyle\rm Q$}\hbox{\raise
	0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}}
	{\setbox0=\hbox{$\scriptscriptstyle\rm Q$}\hbox{\raise
	0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}}}}
	\def\bbbt{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm
	T$}\hbox{\hbox to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}
	{\setbox0=\hbox{$\textstyle\rm T$}\hbox{\hbox
	to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}
	{\setbox0=\hbox{$\scriptstyle\rm T$}\hbox{\hbox
	to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}
	{\setbox0=\hbox{$\scriptscriptstyle\rm T$}\hbox{\hbox
	to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}}}
	\def\bbbs{{\mathchoice
	{\setbox0=\hbox{$\displaystyle     \rm S$}\hbox{\raise0.5\ht0\hbox
	to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hbox
	to0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}}
	{\setbox0=\hbox{$\textstyle        \rm S$}\hbox{\raise0.5\ht0\hbox
	to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hbox
	to0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}}
	{\setbox0=\hbox{$\scriptstyle      \rm S$}\hbox{\raise0.5\ht0\hbox
	to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hbox
	to0pt{\kern0.5\wd0\vrule height0.45\ht0\hss}\box0}}
	{\setbox0=\hbox{$\scriptscriptstyle\rm S$}\hbox{\raise0.5\ht0\hbox
	to0pt{\kern0.4\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hbox
	to0pt{\kern0.55\wd0\vrule height0.45\ht0\hss}\box0}}}}
	\def\bbbz{{\mathchoice {\hbox{$\sans\textstyle Z\kern-0.4em Z$}}
	{\hbox{$\sans\textstyle Z\kern-0.4em Z$}}
	{\hbox{$\sans\scriptstyle Z\kern-0.3em Z$}}
	{\hbox{$\sans\scriptscriptstyle Z\kern-0.2em Z$}}}}
	%
	%-------------------------------------------------------------------
\fi
\ifx 2\FONTS
	\def\bbbr{\Bbb R}
	\def\bbbm{\Bbb M}
	\def\bbbn{\Bbb N}
	\def\bbbf{\Bbb F}
	\def\bbbh{\Bbb H}
	\def\bbbk{\Bbb K}
	\def\bbbp{\Bbb P}
	\def\bbbc{\Bbb C}
	\def\bbbe{\Bbb E}
	\def\bbbq{\Bbb Q}
	\def\bbbt{\Bbb T}
	\def\bbbs{\Bbb S}
	\def\bbbz{\Bbb Z}
	\message{bbbone not supplied in this font-version}
\fi
\ifx 3\FONTS
	\def\bbbr{\Bbb R}
	\def\bbbm{\Bbb M}
	\def\bbbn{\Bbb N}
	\def\bbbf{\Bbb F}
	\def\bbbh{\Bbb H}
	\def\bbbk{\Bbb K}
	\def\bbbp{\Bbb P}
	\def\bbbc{\Bbb C}
	\def\bbbe{\Bbb E}
	\def\bbbq{\Bbb Q}
	\def\bbbt{\Bbb T}
	\def\bbbs{\Bbb S}
	\def\bbbz{\Bbb Z}
	\def\bbbone{{\hbox{\spf 1}}}
\fi
	
 
% End of included file: charb.tex
% Begin of included file: valb.tex
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Springer macro file: Part valb.tex Version 1.4 (10/16/90) ERI
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%       GENERAL SETTINGS
%-----------------------------------------------------------------
%%%%%%% helps for arrangement
%-----------------------------------------------------------------
\hfuzz=2pt
\vfuzz=2pt
\tolerance=1000
%        display style formulas narrower:
\abovedisplayskip=3 mm plus6pt minus 4pt
\belowdisplayskip=3 mm plus6pt minus 4pt
\abovedisplayshortskip=0mm plus6pt
\belowdisplayshortskip=2 mm plus4pt minus 4pt
\clubpenalty=20000
\widowpenalty=20000
\predisplaypenalty=0
\newdimen\defaultparindent
\parindent=1.5em
\defaultparindent=\parindent
\frenchspacing
\fontdimen3\tenrm=1.5\fontdimen3\tenrm
\fontdimen7\tenrm=1.5\fontdimen7\tenrm
 
%-----------------------------------------------------------------
%%%%%%% default values
%-----------------------------------------------------------------
\vsize = 630dd
\newdimen\fullhsize
\newdimen\colhsize
\fullhsize=39.5cc
\colhsize=19cc
\hsize=\colhsize
%	ACHTUNG: der folgende Wert kann nicht ohne weiteres verwendet
%	werden, da in twocol.tex topskip=10pt fest verdrahtet!
%	\topskip = 13dd
\newdimen\defaulttopskip	\defaulttopskip=10pt%%changed from: !!11dd
\topskip = \defaulttopskip
\hoffset=-1true cm
\voffset=-1true cm
\def\makefootline{\baselineskip=10dd \fullline{\the\footline}}
\def\makeheadline{\vbox to 0pt{\vskip-22.5pt
            \fullline{\vbox to 8.5pt{}\the\headline}\vss}\nointerlineskip}
\let\lr=Y% two columns
\newbox\leftcolumn
\def\columnbox{\leftline{\pagebody}}
 
%-----------------------------------------------------------------
%	FOOTNOTERULE
%-----------------------------------------------------------------
\def\footnoterule{\kern-3pt\hrule width 4true cc\kern2.6pt}%
%-----------------------------------------------------------------
%%%%%%  new definitions:
%-----------------------------------------------------------------
%
\newdimen\defaultbase	   \defaultbase=10.5dd% default baselineskip
\newdimen\vardbase	   \vardbase=10.5dd
%
\newdimen\beforeref	   \beforeref=2\defaultbase	% references
\newdimen\afterreft	   \afterreft=\defaultbase
\newdimen\afterauthor	   \afterauthor=6dd
%
\newdimen\defaultrefindent \defaultrefindent=\defaultparindent
\newdimen\letrefindent	   \letrefindent=1cc
%
\newdimen\beforeack	   \beforeack=\defaultbase	% acknowledgements
\newdimen\beforeapp	   \beforeapp=\defaultbase	% appendices
\newdimen\afterappt	   \afterappt=0.5\defaultbase	% title appendix
\newdimen\beforeded	   \beforeded=\defaultbase	% dedication
\newdimen\afterinst	   \afterinst=\defaultbase	% institute
\newdimen\beforekey	   \beforekey=\defaultbase
%-----------------------------------------------------------------
%	note: values referring to headlines and titlepage are
%	      set with the definitions
%-----------------------------------------------------------------
%	main header: top of page values
%-----------------------------------------------------------------
\newdimen\realhead 		% measurement for main header
\realhead=200dd			%
%\realhead=189dd			%
\newdimen\beforemain
\beforemain=3\defaultbase	% main header must not overlap top stuff!!
\newdimen\theshd		% height of thesaurus in
%				  case it doesn't exist
\theshd=50dd
\def\bumarkskip{-0dd}		% minus space for logo
%new: 4.10.90
%changed again by a. Binding 23.11.90
%newdimen\footindent	 \footindent=0.66\defaultparindent
\setbox0=\hbox{\newtoks\REFEREE\let\REFEREE=N\footfont
\unskip$\scriptstyle***$\enspace}
\newdimen\footindent	 \footindent=\wd0
% End of included file: valb.tex
%
%       possible journal specific redefinitions:
%\def\received{Oblatum}%        Alternate to "Received" (only in English)
\def\summary{Abstract}%        Alternate to "Summary"
% Begin of included file: langb.tex
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Springer macro file: Part langb.tex Version 1.4 (10/16/90) ERI
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%    default: English:
	\ifx\undefined\summary
		\def\summary{Summary}
	\else
		\def\alreadysum{yes}
	\fi
	\def\transsummary{Summary\message{why a translation in English text?|}}
	\ifx\undefined\received
		\xdef\received{Received}
	\else
		\def\alreadyrec{yes}
	\fi
	\def\accepted{accepted}
	\def\revised{revised}%{in revised form}
	\def\lemma{Lemma}
	\def\defin{Definition}
	\def\theorem{Theorem}
	\def\corollary{Corollary}
	\def\proof{Proof}
	\def\example{Example}
	\def\claim{Claim}
	\def\prop{Proposition}
	\def\conjec{Conjecture}
	\def\noteadd{Note added in proof}
	\def\appendix{Appendix}
	\def\acknowledgement{Acknowledgements}
	\def\references{References}
	\def\table{Table}
	\def\figg{Fig.}
\gdef\french{% to Springer Verlag: please: check it!
	\ifx\undefined\alreadysum
		\def\summary{Summary}
	\fi
	\def\transsummary{R�sum�}
	\ifx\undefined\alreadyrec
		\def\received{Re\c cu}
	\fi
	\def\accepted{accept�}
	\def\revised{revu}
	\def\lemma{Lemme}
	\def\defin{D�finition}
	\def\theorem{Th�or�me}
	\def\corro{Corrolaire}
	\def\proof{�preuve}
	\def\example{Exemple}
	\def\claim{Pr�tention}
	\def\prop{Proposition}
	\def\conjec{Conjecture}
	\def\noteadd{Note ajout�e � l'�preuve}
	\def\appendix{Appendice}
	\def\acknowledgement{Remerciements}
	\def\references{Bibliographie}
	\def\table{Table}
	\def\figg{Fig.}
}
\gdef\german{%
	\ifx\undefined\alreadysum
		\xdef\summary{Summary}
	\fi
	\def\transsummary{Zusammenfassung}
	\ifx\undefined\alredyrec
		\xdef\received{Erhalten}
	\fi
	\def\accepted{angenommen}
	\def\revised{revidiert}
	\def\lemma{Lemma}
	\def\defin{Definition}
	\def\theorem{Theorem}
	\def\corro{Korrolar}
	\def\proof{Beweis}
	\def\example{Beispiel}
	\def\claim{Behauptung}
	\def\prop{Proposition}
	\def\conjec{Annahme}
	\def\noteadd{Nachtrag}
	\def\appendix{Anhang}
	\def\acknowledgement{Danksagung}
	\def\references{Literatur}
	\def\table{Tab.}
	\def\figg{Abb.}
}
% End of included file: langb.tex
%\def\bumarkskip{-<number>dd}%  Height of Journal Logo
%
% Begin of included file: genb.tex
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Springer macro file: Part genb.tex Version 1.4 (10/16/90) ERI THS
%-----------------------------------------------------------------
% redefinition of plain's \item, so it will work after headlines:
%-----------------------------------------------------------------
\def\hang{\parindent\defaultparindent\hangindent\parindent}
\def\textindent#1{\indent\llap{#1\enspace}\ignorespaces}
\def\item{\par\hang\textindent}
\def\itemitem{\par\indent \hangindent2\parindent \textindent}
\def\narrower{\advance\leftskip\defaultparindent
  \advance\rightskip\defaultparindent}
\def\fullline{\hbox to\fullhsize}
\newdimen\fullhead
 
%-----------------------------------------------------------------
%%%%%%%	FORMULA COUNTER
%-----------------------------------------------------------------
%	 register for generating automatic numbered formulas:
\newcount\eqnum\eqnum=0
\def\autnum{\global\advance\eqnum by 1{\rm(\the\eqnum)}}
% \autnum usage: $$ formula \eqno\autnum$$
%	     or: $$\eqalignno{a&=b&\autnum\cr}$$
%
%	EQUATION NUMBERS:
\ifcase\eqleft\or\let\eqno=\leqno\fi
\newtoks\eq\newtoks\eqn
\catcode`\@=11%		!!!!
\def\eqalign#1{\null\vcenter{\openup\jot\m@th
  \ialign{\strut\hfil$\displaystyle{##}$&$\displaystyle{{}##}$\hfil
      \crcr#1\crcr}}}
\def\displaylines#1{{}$\displ@y
\hbox{\vbox{\halign{$\@lign\hfil\displaystyle##\hfil$\crcr
    #1\crcr}}}${}}
\def\eqalignno#1{{}$\displ@y
  \hbox{\vbox{\halign to\hsize{\hfil$\@lign\displaystyle{##}$\tabskip\z@skip
    &$\@lign\displaystyle{{}##}$\hfil\tabskip\centering
    &\llap{$\@lign##$}\tabskip\z@skip\crcr
    #1\crcr}}}${}}
\def\leqalignno#1{{}$\displ@y
\hbox{\vbox{\halign to\hsize{\qquad\hfil$\@lign\displaystyle{##}$\tabskip\z@skip
    &$\@lign\displaystyle{{}##}$\hfil\tabskip\centering
    &\kern-\hsize\rlap{$\@lign##$}\tabskip\hsize\crcr
    #1\crcr}}}${}}
 
\ifcase\eqleft\or\let\eqalignno=\leqalignno\fi
 
\def\generaldisplay{%
\ifeqno
       \ifleqno\leftline{$\displaystyle\the\eqn\quad\the\eq$}%
       \else
	\ifcase\eqleft\line{$\displaystyle\the\eq\hfill\the\eqn$}%
	\or\leftline{$\displaystyle\the\eqn\quad\the\eq$}%
	\fi
\fi
       %\else\line{$\displaystyle\the\eq\hfill\the\eqn$}\fi
\else
       \leftline{$\displaystyle\the\eq$}%
\fi
\global\eq={}\global\eqn={}}%
\newif\ifeqno\newif\ifleqno \everydisplay{\displaysetup}
\def\displaysetup#1$${\displaytest#1\eqno\eqno\displaytest}
\def\displaytest#1\eqno#2\eqno#3\displaytest{%
\if!#3!\ldisplaytest#1\leqno\leqno\ldisplaytest
\else\eqnotrue\leqnofalse\eqn={#2}\eq={#1}\fi
\generaldisplay$$}
 
\def\ldisplaytest#1\leqno#2\leqno#3\ldisplaytest{\eq={#1}%
\if!#3!\eqnofalse\else\eqnotrue\leqnotrue\eqn={#2}\fi}
\catcode`\@=12%		!!! % at signs are no longer letters
% Math end from aa.dra
%
%-----------------------------------------------------------------
%      PICTURES AND TABLES
%-----------------------------------------------------------------
%%%%%% general macros
%-----------------------------------------------------------------
\def\frame#1{\vbox{\hrule\line{\vrule\vbox to#1true cm{\vfil}%
	     \hfil\vrule}\hrule}}
\def\doins#1{\par
  \ifvoid\topins\midinsert\vbox{#1}\endinsert
  \else\topinsert\vbox{#1}\endinsert\fi}
%
%-----------------------------------------------------------------
%%%%%% Pictures
%-----------------------------------------------------------------
% THS new in sp2
%\def\begfig#1cm#2\endfig{\doins{\frame{#1}#2}}
%	picture legends: they appear centered if
% 			 text is smaller than one line
% THS new in sp2 :
%\def\figure#1#2{\bigskip%
%  \setbox0=\vbox{\noindent\petit{\bf Fig.\ts#1.\ }%
%                 \ignorespaces #2\smallskip
%		 \count255=0\global\advance\count255by\prevgraf}%
%  \ifnum\count255>1\box0\else
%  \centerline{\petit{\bf \figg\ts#1.\ }\ignorespaces#2}%
%  \smallskip\fi}
%
%-----------------------------------------------------------------
%%%%%%% Tables
%-----------------------------------------------------------------
\def\tabcap#1#2{\smallskip\noindent%
\bgroup\petit{\bf\table\ts#1.\ }%
  \ignorespaces #2\smallskip\egroup}
% THS new in sp2
%\def\begtab#1cm#2\endtab{\doins{#2\frame{#1}}}
%
 
%-----------------------------------------------------------------
%       REFERENCES
%-----------------------------------------------------------------
%%%%%%% general macros
%-----------------------------------------------------------------
\newdimen\refindent
\def\begrefs{%
	\par\goodbreak\vskip\beforeref%
	\basesize\noindent{\bf \references}\par\nobreak\vskip\afterreft
	\petit\hangindent\refindent\hangafter=1%
	}
%	\noindent\ignorespaces\rm }
\def\refs{\par\goodbreak%
         \hangindent=\refindent\hangafter=1%
         \noindent\ignorespaces\rm %
         }
\def\endrefs{\goodbreak\endpet}% end of references
%
%-----------------------------------------------------------------
%%%%%%%% references without automatic numbering
%-----------------------------------------------------------------
\def\begref{\global\refindent\defaultrefindent\begrefs}
\let\ref\refs
\let\endref\endrefs
%
%-----------------------------------------------------------------
%%%%%%%% references with automatic numbering
%-----------------------------------------------------------------
\newcount\litno
\def\beglit{\global\refindent\defaultrefindent%
	    \global\litno=0\begrefs}
% 	call for reference: \lit Thomas Mueller: title ...
% 	--> \par\hangindent ... 23. Thomas Mueller: title ...
\def\lit{\advance\litno1\refs%
         \hbox to \refindent{\hfill\the\litno.\kern2pt}\ignorespaces}
\let\endlit\endrefs
%
%-----------------------------------------------------------------
%%%%%%%% references with letters
%-----------------------------------------------------------------
\def\beglet#1{\par%
	    \setbox0=\hbox{#1}%
	    \global\refindent=\wd0\begrefs}
\def\lett#1{\refs%
		\setbox0=\hbox{[#1]}%
		\ifdim\wd0<\refindent%
	  	  \hbox to \refindent{[#1]\hfill}%
		\else [#1]\enspace%
		\fi\ignorespaces%
	      }
\let\endlet\endrefs
%
%-----------------------------------------------------------------
%%%%%%%	ACKNOWLEDGEMENTS
%-----------------------------------------------------------------
\long\def\ack#1{\vskip\beforeack\begpet\noindent%
  {\it \acknowledgement\/}. \ignorespaces#1\endpet}
%
%-----------------------------------------------------------------
%%%%%%%	APPENDICES
%-----------------------------------------------------------------
\def\app#1{\goodbreak\vskip\beforeapp\noindent%
  {\bf \appendix\ #1}\par\nobreak\vskip\afterappt\noindent\ignorespaces}
%
%-----------------------------------------------------------------
%%%%%%%	NOTE ADDED IN PROOF
%-----------------------------------------------------------------
\def\noteadded{\goodbreak\vskip\beforeapp\noindent%
  {\bf \noteadd\ }\par\nobreak\vskip\afterappt\noindent\ignorespaces}
%
%-----------------------------------------------------------------
%%%%%%%	POSTAL ADDRESS
%-----------------------------------------------------------------
\def\bpostadd{\vskip\beforeapp\bgroup\petit\bgroup\obeylines%
	\parindent=0pt}
\def\epostadd{\egroup\par\egroup}
%-----------------------------------------------------------------
%%%%%%%	MISC.
%-----------------------------------------------------------------
\let\ts=\thinspace
\newlinechar=`\| % line break for TeX messages at the screen
%
%-----------------------------------------------------------------
%%%%%%%	FOOTNOTES
%-----------------------------------------------------------------
%%%%%%% general macros
%-----------------------------------------------------------------
%	footnote as in plain:
\catcode`\@= 11
\newinsert\footins
\def\footnotea#1{\let\@sf\empty % parameter #2 (the text) is read later
  \ifhmode\edef\@sf{\spacefactor\the\spacefactor}\/\fi
  #1\@sf\vfootnote{#1}}
%	changed:the footnote gets her own footfont,
%	so the subscript in the text remains in the
%	current size (of course this size needs a
%	font definition for \scriptfont1 ):
\def\vfootnote#1{\insert\footins\bgroup\footfont\hsize=\colhsize
  \interlinepenalty\interfootnotelinepenalty
  \splittopskip\ht\strutbox % top baseline for broken footnotes
  \splitmaxdepth\dp\strutbox \floatingpenalty\@MM
  \leftskip\z@skip \rightskip\z@skip \spaceskip\z@skip \xspaceskip\z@skip
  \textindent{#1}\footstrut\futurelet\next\fo@t}
\def\fo@t{\ifcat\bgroup\noexpand\next \let\next\f@@t
  \else\let\next\f@t\fi \next}
\def\f@@t{\bgroup\aftergroup\@foot\let\next}
\def\f@t#1{#1\@foot}
\def\@foot{\strut\egroup}
\def\footstrut{\vbox to\splittopskip{}}
\skip\footins=\bigskipamount % space added when footnote is present
\count\footins=1000 % footnote magnification factor (1 to 1)
\dimen\footins=8in % maximum footnotes per page
%
%----------------------------------------------------------------
%%%%% general footnote layout:
%
\def\begfo#1{\bgroup
                  \def\textindent##1{%removed 4.10:\hang
% changed by A. Binding 23.11.90          |       |
%old line:		  \noindent\hbox to\footindent{##1\hss}\ignorespaces}%
		  \noindent\hbox to\footindent{\hss##1\enspace}\ignorespaces}%
                  \footnotea{$^{#1}$}\bgroup}
%              {} added here   |  |   A. Binding 23.11.90
\def\endfo{\egroup\egroup}
%-----------------------------------------------------------------
%%%%% handling the counter:
%
\newcount\stars \stars=0
\def\morestars{\global\advance\stars by1\relax}%
\newcount\footcnt \footcnt=0
\def\morefoots{\global\advance\footcnt by1\relax}%
%
%-----------------------------------------------------------------
%%%%% handling the asterisks:
%
\newtoks\stparam \global\stparam{}
\def\checkstars{\morestars%
  \ifcase\stars\global\stparam={}%
  \or\global\stparam{{\star}}%
  \or\global\stparam{{\star\star}}%
  \or\global\stparam{{\star\star\star}}%
  \else%
  \message{more than three stars are not available|}%
  \fi
}%
%-----------------------------------------------------------------
%      automatic numbered footnote, scriptsize in petit:
%-----------------------------------------------------------------
\def\fonote#1{\morefoots\begfo{\the\footcnt}\ignorespaces #1\endfo}%
%
%-----------------------------------------------------------------
%      automatic footnote numbering with growing number of
%      asterisks: footnote in AUTHOR or MAIN- resp. SUBTITLE
%-----------------------------------------------------------------
\def\FOOTNOTE#1{\checkstars
  \begfo{\the\stparam}\ignorespaces #1\endfo}%
% Present address
\def\PRESADD#1{\checkstars
  \begfo{\the\stparam}Present address: #1\endfo}%
%
%-----------------------------------------------------------------
\catcode`\@=12
%
%-----------------------------------------------------------------
%%%%%%%	MINI ENVIRONMENTS
%-----------------------------------------------------------------
 
\long\def\defenva#1#2#3#4#5#6%
{\expandafter\gdef\csname b#1\endcsname##1{#2%
		{#3\csname #1\endcsname\ ##1} \bgroup
		\ignorespaces
		#4%
	}%
 \expandafter\gdef\csname #1\endcsname{#6}%
 \expandafter\gdef\csname e#1\endcsname{\egroup#5}%
}
% Call this macro to build mini environments; the
% meaning of the parameters is:
% 1 basename of the environment. If we use lemma that
%   results in the definition of three macros:
%   \blemma (Beginning; one parameter)
%   \elemma (End; no parameter)
%   \lemma  (Contains the text of paramter #6)
% 2 add that before all
% 3 add that at the beginning of the first group (where
%   first argument is called)
% 4 add that at the beginning of the second group (text)
% 5 add that after all
%
%
% Evaluation b-macro: #2{#3 #6\ }\bgroup #4
% Evaluation e-macro: \egroup #5
%
%%%
% Difference: Begin macro defined by \defenvb needs no
% argument: 	\bclaim ... \eclaim but
%		\blemma{3.2} ... \elemma
%
\long\def\defenvb#1#2#3#4#5#6%
{\expandafter\gdef\csname b#1\endcsname{#2%
		{#3\csname #1\endcsname} \bgroup
		\noindent\ignorespaces
		#4%
	}%
 \expandafter\gdef\csname #1\endcsname{#6}%
 \expandafter\gdef\csname e#1\endcsname{\egroup#5}%
}
%changed 13.2.91 binding baselineskip to 0.5 baselineskip
%                                       |
\def\nlni{\par\vskip-\lastskip\vskip0.5\baselineskip\noindent}
%new command \endskip copyright binding 13.2.91
\def\endskip{\par\vskip0.5\baselineskip}
% changed 11.10.90:
% #5 changed from \par to \endskip in all environments binding 13.2.91
\defenva{lemma}{\nlni}%
	{\bf }{\it }{\endskip}{Lemma}
\defenva{defin}{\nlni}%
	{\bf }{\rm }{\endskip}{Definition}
\defenva{theorem}{\nlni}%
	{\bf }{\it }{\endskip}{Theorem}
\defenva{corollary}{\nlni}%
	{\bf }{\it }{\endskip}{Corollary}
\defenva{proof}{\nlni}%
	{\it }{\rm }{\endskip}{Proof}
\defenva{example}{\nlni}%
	{\it }{\rm }{\endskip}{Example}
\defenvb{claim}{\nlni}%
	{\it }{\rm }{\endskip}{Claim}
\defenva{prop}{\nlni}%
	{\bf }{\it }{\endskip}{Property}
\defenva{conjec}{\nlni}%
	{\it }{\rm }{\endskip}{Conjecture}
% end of changes 13.2.91
%end chnged 11.10.90
%%
%-----------------------------------------------------------------
%
\catcode`\@=\active
%
%-----------------------------------------------------------------
%%%%%%%	THE END
%-----------------------------------------------------------------
%%%%%%	to identify user defined special-char macros:
%
\newcount\specct
\specct=1
\newtoks\ttmp \newtoks\empty
\def\mk#1{\global\ttmp={#1}}
\mk{\csname special\romannumeral\specct\endcsname}
\def\checkspec{%
  \loop
  \smallskip%
  \if\the\ttmp\empty\else
  \noindent special character No\number\specct: \the\ttmp
  \fi
  \advance\specct by 1%
  \mk{\csname special\romannumeral\specct\endcsname}
  \expandafter\if\the\ttmp\empty%
  \let\ENDD=Y\else\let\ENDD=N\fi%
  \ifx N\ENDD\repeat
  }
%
%-------------------------------------------------------
%%%%%%%	PAGE NUMBERING AND "RUNNING HEAD"
%-------------------------------------------------------
%
\nopagenumbers
%-----------------------------------------------------------------
%%%%%%%	left part of the headline:
\def\mshead{%
 \vbox{\hrule%
       \line{\vrule\kern3pt%
             \vbox{\rightskip=0pt plus3em\advance\hsize by-7pt%
		   \hrule height0pt depth0pt width\hsize
		   \kern3pt%
                   \hbox{\bf \SprJLogoname\ Manuskript-Nr.}%
                   \hbox{(will be inserted by hand later)}%
                   \kern3pt\hrule\kern3pt%
                   \hbox{\bf Your thesaurus codes are:}%
                   \hbox{\bf\ignorespaces%
		         \the\THESAURUS\hfill}
                   \kern3pt}%
             \hfil\kern3pt\vrule}%
       \hrule}%
}%
%%%%%%%	headline:
\newdimen\hdlsav
\def\paglay{%
  \headline={\tenpoint\hsize=.75\fullhsize%
    \ifnum\pageno=1%
        \mshead%
	% THS: Your thesaurus codes are etc. cf. aa.dra
% buttermarke raus 25.11.91, binding
%       \rlap{\quad\SprJLogo}%
    \else%
      \petit
      % THS genb was: \ifodd\pageno\rightheadline\hfil\folio
      % THS genb was: \else\folio\hfil\leftheadline%
	\ifodd\pageno\hfil\folio\else\folio\hfil\fi
    \fi%
  }%
%\noindent iiii
%\hdlsav =\ht\headline
}
% THS: aa.dra:::???
\ifx \undefined\instruct
  \headline={\tenrm\ifodd\pageno\hfil\folio
  \else\folio\hfil\fi}\fi
% EOF ???
%
%-----------------------------------------------------------------
%%%%%%%	HEADERS
%-----------------------------------------------------------------
% 	1st order headlines without automatic numbering.
%-----------------------------------------------------------------
\def\aSa{\bgroup\par\sxtntipoint
    \rightskip=0pt plus6em\spaceskip=.3333em \xspaceskip=.5em
    \pretolerance=10000
    \noindent}
\def\eSa{\vskip\defaultbase
    \egroup
    \noindent
    \ignorespaces}
%%
\def\aTa{\bgroup\par\sxtnbfpoint
    \rightskip=0pt plus6em\spaceskip=.3333em \xspaceskip=.5em
    \pretolerance=10000
    \noindent}
\def\eTa{\vskip\defaultbase
    \egroup
    \noindent
    \ignorespaces}
%-----------------------------------------------------------------
%%%%%%%	2nd order headlines without automatic numbering.
%-----------------------------------------------------------------
\def\aTb{\bgroup\twlfbfpoint
    \raggedright
    \pretolerance=10000
    \noindent}
\def\eTb{\vskip\defaultbase
    \egroup
    \noindent
    \ignorespaces}
%-----------------------------------------------------------------
%%%%%%%	HEADERS WITH AUTOMATIC NUMBERING
%-----------------------------------------------------------------
% changed at character ("@") to key character for affiliations
% while title page is active (used in AUTHOR and INSTITUTE)
\catcode`\@=11
%-----------------------------------------------------------------
%%%%%%%	preparations:
%-----------------------------------------------------------------
%	register definitions for headlines:
%
%%%%%%  counter:
\newcount\c@Ta \newcount\c@Tb \newcount\c@Tc
\newcount\c@Td \newcount\c@Te \newcount\c@Tf
%%%%%%  skip before headline:
\newskip\bv@Ta \newskip\bv@Tb \newskip\bv@Tc
\newskip\bv@Td \newskip\bv@Te \newskip\bv@Tf
%%%%%%  skip after headline:
\newskip\av@Ta \newskip\av@Tb \newskip\av@Tc
\newskip\av@Td \newskip\av@Te \newskip\av@Tf
%%%%%%  skip back if headline before:
\newskip\mv@Ta \newskip\mv@Tb \newskip\mv@Tc
\newskip\mv@Td \newskip\mv@Te \newskip\mv@Tf
%
%	try 04.05.90:
%
\newtoks\curhd
\curhd={z}
%
%       macros for setting/resetting these registers:
%
\def\sethds#1#2#3#4#5{\resetcount{#1}%
  \global\csname bv@T#1\endcsname = #2%   vskip before header
  \global\csname av@T#1\endcsname = #3%   vskip after header
  \global\csname mv@T#1\endcsname = #4%   minus vskip if hdr before
  \global\expandafter\def\csname set#1\endcsname{#5}
}
%
\def\resetcount#1{\global\csname c@T#1\endcsname=0}
\def\@nameuse#1{\csname #1\endcsname}
\def\arabic#1{\@arabic{\@nameuse{c@T#1}}}
\def\@arabic#1{\ifnum #1>0 \number #1\fi}
%
\def\stepc#1{\global\expandafter
    \advance\csname c@T#1\endcsname by 1}
%
%       automatic generation of header-nrs:
%
\newtoks\befor\newtoks\after
\newtoks\hdnr
%
\def\getba#1{%
\if #1a%
  \global\befor={y}\global\after={b}
  \global\hdnr={\arabic{a}.\ }
\else\if #1b%
  \global\befor={a}\global\after={c}
  \global\hdnr={\arabic{a}.\arabic{b}.\ }
\else\if #1c%
  \global\befor={b}\global\after={d}
  \global\hdnr={\arabic{a}.\arabic{b}.\arabic{c}.\ }
\else\if #1d%
  \global\befor={c}\global\after={e}
  \global\hdnr={}
\else\if #1e%
  \global\befor={c}\global\after={f}
  \global\hdnr={}
\else\if #1f%
  \global\befor={c}\global\after={x}
  \global\hdnr={}
\fi\fi\fi\fi\fi\fi}
%
%-----------------------------------------------------------------
%%%%%%%	the macro to generate headers
%-----------------------------------------------------------------
%
\newbox\hdbox
\newskip\skipone
\newdimen\paght
%
%%%%%%  temporary redefinition of \par
\def\ignorepar{%
	\parindent=0pt%
	\def\par{\ifvmode\else\endgraf\fi\let\par=\endgraf
	\parindent=\defaultparindent
	% try 4.5:
	\global\curhd={z}
	}}
%	\fi}}
%
%%%%%%  check if headline fits on current page
%
\gdef\checkpagb#1#2#3#4{%
  \paght=\pagetotal
  \global\setbox\hdbox=\vbox{%
      \csname set#1\endcsname%		initializing header
      \noindent
      #2%				number
      \ignorespaces #3%		text
     }%
   \advance\paght by -\pageshrink
   \ifdim\paght>\pagegoal
   \else \paght=\pagetotal\advance\paght by \pagestretch
    \ifdim\paght<\pagegoal
      \paght=\pagetotal
      \advance\paght by \csname bv@T#1\endcsname
          \advance\paght by\ht\hdbox%
	  \advance\paght by\csname av@T#1\endcsname
          \advance\paght by#4%		remaining lines on page
          \ifdim\paght > \pagegoal%
    	\expandafter\expandafter\if\the\befor\the\curhd
    	  \expandafter\if\the\befor y\vfill\eject \else
    	      \nobreak	%new
      	  \fi %new
        \else
	    \vfill\eject
        \fi	%new
      \fi
     \fi
   \fi
}%
%-----------------------------------------------------------------
\catcode`\@=12
%-----------------------------------------------------------------
%%%%%%  the main macro:
%
\def\makehead#1#2#3{%
  \ifvmode\else\par\fi
  \skipone=\lastskip%\unskip%	store lastskip
  \getba{#1}%			get: higher/lower level and number
  \stepc{#1}%			raise counter
  \expandafter\if \the\after x\else
    \resetcount{\the\after}%	reset lower level
  \fi
%				back skip if headline before:
	%	try 4.5:
    \expandafter\expandafter\if\the\befor\the\curhd
      \nobreak\vskip\csname mv@T#1\endcsname
    \else \fi
%				check remaining space on page
%				and store headline to hdbox:
  \checkpagb{#1}{\the\hdnr}{#2}{#3}%	
  \expandafter\expandafter\if\the\befor\the\curhd
  \nobreak\vskip\csname bv@T#1\endcsname \else
  \vskip\csname bv@T#1\endcsname%	skip before header
  \fi
  \nobreak
  \bgroup
  \nobreak\unvbox\hdbox%				hdbox out
  \egroup\nobreak%
	  \vskip\csname av@T#1\endcsname% skip after header
  \ignorepar
   \global\curhd={#1}
  \ignorespaces%
}%
%
%--------------------------------------------------------------------
%%%%%%%	definition of 3 orders of headlines:
%--------------------------------------------------------------------
%
\sethds{a}{2\defaultbase}{\defaultbase}{-2\defaultbase}%
	{\tenbfpoint \rightskip 0pt plus4em%
         \pretolerance=20000%
        }%
\sethds{b}{2\defaultbase}%
 	{\defaultbase}{-2\defaultbase}%
	{\basesize\raggedright \pretolerance=10000\it}%
%
\sethds{c}{2\defaultbase}%
 	{\defaultbase}{-2\defaultbase}%
	{\basesize\raggedright\pretolerance=10000}%
%
\def\titlea#1{\makehead{a}{#1}{4\baselineskip}}%
\def\titleb#1{\makehead{b}{#1}{3\baselineskip}}%
\def\titlec#1{\makehead{c}{#1}{2\baselineskip}}%
%
%--------------------------------------------------------------------
%%%%%%%	HEADERS WITHOUT AUTOMATIC NUMBERING
%--------------------------------------------------------------------
%%%%%%  the main macro:
%
\def\makeuhead#1#2#3{%
  \ifvmode\else\par\fi
  \skipone=\lastskip%\unskip%	store lastskip
%				back skip if headline before:
  \getba{#1}
  \expandafter\if \the\befor x\else
     \expandafter\expandafter\if\the\befor\the\curhd
    %\ifdim\skipone=\csname av@T\the\befor\endcsname
      \vskip\csname mv@T#1\endcsname
    \else \fi
  \fi
%				check remaining space on page
%				and store headline to hdbox:
  \checkpagb{#1}{}{#2}{#3}%	
  \vskip\csname bv@T#1\endcsname%	skip before header
  \bgroup
  \box\hdbox%				hdbox out
  \egroup\nobreak%
	  \vskip\csname av@T#1\endcsname% skip after header
  \ignorepar
  \global\curhd={#1}
  \ignorespaces%
}%
%--------------------------------------------------------------------
%%%%%%%	and here the definition of the 3 orders unnumbered:
%--------------------------------------------------------------------
%
\def\utitlea#1{\makeuhead{a}{#1}{4\baselineskip}}%
\def\utitleb#1{\makeuhead{b}{#1}{3\baselineskip}}%
\def\utitlec#1{\makeuhead{c}{#1}{2\baselineskip}}%
%--------------------------------------------------------------------
%%%%%%%	(possible remaining orders: use shoulder headers)
%--------------------------------------------------------------------
%%%%%%%	SHOULDER HEADINGS
%-----------------------------------------------------------------
\sethds{d}{\baselineskip}{0pt}{-\baselineskip}%
	{}%
\sethds{e}{\baselineskip}{0pt}{-\baselineskip}%
	{}%
\sethds{f}{\baselineskip}{0pt}{-\baselineskip}%
	{}%
\def\makeush#1#2{%
  \ifvmode\else\par\fi
  \skipone=\lastskip%\unskip%	store lastskip
%				back skip if headline before:
  \getba{#1}
  \expandafter\if \the\befor x\else
 	\expandafter\expandafter\if\the\befor\the\curhd
%    \ifdim\skipone=\csname av@T\the\befor\endcsname
      \vskip\csname mv@T#1\endcsname
    \else \fi
  \fi
  \global\curhd={#1}
  \vskip\csname bv@T#1\endcsname%	skip before header
  \noindent#2\ \ignorespaces%
}%
\def\utitled#1{\makeush{d}{{\bf #1}}}%
\def\utitlee#1{\makeush{e}{{\it #1}}}%
\def\utitlef#1{\makeush{f}{{\rm #1}}}%
%
%%%%%% begin of shoulder heading: roman / italic / bold
%
\def\shrm#1{{\vskip\baselineskip \noindent\rm #1}}% roman
\def\shit#1{{\vskip\baselineskip \noindent\it #1}}% italic
\def\shbf#1{{\vskip\baselineskip \noindent\bf #1}}% boldface
%
%--------------------------------------------------------------------
%--------------------------------------------------------------------
%%%%%%%	TITLE PAGE
%--------------------------------------------------------------------
%%%%%%%	declaration of variables for automatic title page
%--------------------------------------------------------------------
\newtoks\REFEREE
\newtoks\RECDATE
\newtoks\ACCDATE
\newtoks\SECTION
\newtoks\HEADNOTE
\newtoks\REVISED
\newtoks\DEDICATION
\newtoks\MAINTITLE
\newtoks\MAINTITLERUNNINGHEAD
\MAINTITLERUNNINGHEAD={ ????? }%
\newtoks\SUBTITLE
\SUBTITLE={ ????? }%
\newtoks\AUTHOR
\newtoks\AUTHORRUNNINGHEAD
\AUTHORRUNNINGHEAD={ ????? }%
\newtoks\INSTITUTE
\newtoks\SUMMARY
\newtoks\KEYWORDS
\KEYWORDS={ ????? }%
\newtoks\PACS
\PACS={ ????? }%
\newtoks\SUBCLASS
\SUBCLASS={ ????? }%
\newtoks\THESAURUS
\THESAURUS={ ????? }%
\newtoks\SENDOFF
\SENDOFF={ ????? }%
\newtoks\TRANSTITLE
\TRANSTITLE={ ????? }%
\newtoks\TRANSSUM
\newtoks\TRANSKEY
%--------------------------------------------------------------------
%%%%%%%	REFEREE:
%--------------------------------------------------------------------
\newbox\refereebox
\setbox\refereebox=\vbox to0pt{\vskip0.5cm%
  \line{\hrulefill\tentt\lower0.5ex
        \hbox{\kern5pt referee's copy\kern5pt}\hrulefill}\vss}%
%
\global\let\REFEREE=N
\def\refereelayout{%
\global\let\REFEREE=Y}
%--------------------------------------------------------------------
%%%%%%%	general macros:
%--------------------------------------------------------------------
%
%%%%%%	Messages:
%
\def\missmsg#1{\message{Missing #1 |}}
\def\ilgmsg#1{\message{Your #1 is too long to be used|%
as the running head|}}
\def\iilgmsg{\message{please supply a shorter form}}
\def\optmsg#1{\message{#1 is optional|}}
\def\subtoks#1{#1 suppressed due to excessive length}
%%
%%
%
%%	test if missing:
%
\def\tstmiss#1#2#3#4#5{%
\edef\test{\the #1}%
\ifx\test\missing%
  #2\relax%		message
  #3%			action if missing
\else
  \ifx\test\missingi%
    #2\relax%		message
    #3%			action if missing
  \else #4%		action if existing
\fi\fi
#5%			action at any rate
}%
%
%
%--------------------------------------------------------------------
%%%%%%%	main macro for automatic title page: \maketitle
%--------------------------------------------------------------------
%%
%--------------------------------------------------------------------
\catcode`\@= \active
%--------------------------------------------------------------------
\newskip\headlskip
\def\maketitle{\paglay%
\hsize=\fullhsize		
\smallskipamount=3pt
\medskipamount=6pt
\bigskipamount=12pt
\parskip=0pt
\hbox{}%
\vskip\beforemain
\hbox{}%
\def\missing{ ????? }% pattern for identifying empty fields
\def\missingi{}% pattern for identifying empty fields
%
% To test an empty field compare variable with \missing=" ????? ".
% \edef\test{\the\VARIABLE} enables variable for comparing
% \ifx\test = \missing      variable contains text: " ????? " ?
% !!!! action if variable equal to \missing: nothing entered !!!!
% \else !!!! text entered !!! \fi
%
%
%____________ SENDOFF ______________________________
\tstmiss{\SENDOFF}{}{}{\insert\footins{\hsize=\colhsize
\smallskip\noindent
\eightpoint{\it Offprint requests to\/}:
\ignorespaces\the\SENDOFF\smallskip}}{}%
%
%
%____________ HEADNOTE ______________________________
\tstmiss%
  {\HEADNOTE}%
  {}%
  {}%
  {\aSa\ignorespaces\the\HEADNOTE\eSa}%
  {}%
%____________ SECTION ______________________________
\tstmiss%
  {\SECTION}%
  {}%
  {}%
  {\aTa\ignorespaces\the\SECTION\eTa}%
  {}%
%____________ MAINTITLE ______________________________
\let\RHEAD=N%	% MAINTITLERUNNINGHEAD set?
\tstmiss%
  {\MAINTITLE}%
  {\missmsg{MAINTITLE}}%
  {\global\MAINTITLE={MAINTITLE should be given}}%
  {}%
  {%		 write MAINTITLE:
   \aTa\ignorespaces\the\MAINTITLE\eTa%
%		 make MAINTITLERUNNINGHEAD:
%		 take away footnotes:
   \gdef\FOOTNOTE##1{}%
%		 test if specific MAINTITLERUNNINGHEAD:
   \tstmiss%
     {\MAINTITLERUNNINGHEAD}%
     {}%
     {\global\let\RHEAD=N}%
     {\global\MAINTITLE={\the\MAINTITLERUNNINGHEAD}%
      \global\let\RHEAD=Y}%
     {}%
% 	test if MAINTITLERUNNINGHEAD's too long:
   \setbox0=\hbox{\petit\kern1.5cm\ignorespaces
     \the\MAINTITLERUNNINGHEAD\unskip}%
   \ifdim\wd0>\hsize
     \if N\RHEAD%
       \ilgmsg{MAINTITLE}\message{please supply a short form %
         in MAINTITLERUNNINGHEAD|}%
       \xdef\rightheadline{\subtoks{MAINTITLE}}%
     \else
       \ilgmsg{MAINTITLERUNNINGHEAD}\iilgmsg
       \xdef\rightheadline{\subtoks{MAINTITLERUNNINGHEAD}}%
     \fi
   \else
     \edef\temp{\ignorespaces\the\MAINTITLE\unskip}%
     \xdef\rightheadline{\temp}%
   \fi}%
%
%____________ SUBTITLE ______________________________
\tstmiss%
  {\SUBTITLE}%
  {\optmsg{SUBTITLE}}%
  {}%
  {\aTb\ignorespaces\the\SUBTITLE\eTb}%
  {}%
 \let\FOOTNOTE=\undefined
%
%____________ THESAURUS ______________________________
\ifcase \thesob
  \tstmiss%
    {\THESAURUS}%
    {}%
    {\global\THESAURUS={not necessary}}%
    {}%
    {}%
\or
  \tstmiss%
    {\THESAURUS}%
    {}%
    {\global\THESAURUS={missing; you have not inserted them}}%
    {}%
    {}%
\or
  \gdef\mshead{\vbox to\theshd{\hbox to \hsize{\hfill}\vfill}}%
\fi
%
%____________ AUTHOR ______________________________
\tstmiss%
 {\AUTHOR}%
 {\missmsg{Name(s) and initial(s) of author(s)}}%
 {\global\AUTHOR={Name(s) and initial(s) of author(s) should be given}}%
 {}%
 {%	write AUTHOR:
  \gdef@##1{$^{##1}$}%
  \basesize\noindent{\bf\ignorespaces \the\AUTHOR}\vskip\afterauthor%
  %	make AUTHORRUNNINGHEAD:
  %	remove adresses:
  \tstmiss%
    {\AUTHORRUNNINGHEAD}%
    {}%
    {\gdef@##1{}\gdef\PRESADD##1{}%
     \edef\temp{\ignorespaces\the\AUTHOR\unskip}%
	\xdef\leftheadline{\temp}%
    }%
    {\xdef\leftheadline{\ignorespaces\the\AUTHORRUNNINGHEAD%
     \unskip}%
    }%
    {}%
 }%
%
%____________ INSTITUTE ______________________________
\tstmiss%
  {\INSTITUTE}
  {\missmsg{Address(es) of author(s)}}%
  {\global\INSTITUTE={Address(es) of author(s) should be given.}}%
  {}%
  {\gdef@##1{\endgraf%\hangindent0.5\defaultparindent\hangafter=1%
   \noindent\hbox to0.5\defaultparindent{$^{##1}$\hfil}\ignorespaces}
   \bgroup\petit\noindent\ignorespaces\the\INSTITUTE%
   \vskip\afterinst\egroup%
  }%
%
%____________ RECDATE ______________________________
\tstmiss%
  {\RECDATE}%
  {\message{The date of receipt should be inserted later|}}%
  {\global\RECDATE={{\petit $[$the date should be inserted later$]$}}}%
  {}%
  {\bgroup\petit\noindent%
   \received\ \ignorespaces\the\RECDATE\unskip\ignorespaces%
  }%
%
%____________ ACCDATE ______________________________
\tstmiss%
  {\ACCDATE}%
  {\message{The date of acceptance should be inserted later|}}%
  {\global\ACCDATE={{\petit $[$the date should be inserted later$]$}}}%
  {}%
  {%		give out ACCDATE:
   ; \accepted\ \ignorespaces\the\ACCDATE\unskip\ignorespaces%
  }%
%
%____________ REVISED ______________________________
\tstmiss%
  {\REVISED}%
  {}%
  {}%
  {%		give out REVISED:
   ; \revised\ \ignorespaces\the\REVISED%
  }%
  {\endgraf\egroup}%
%
%____________ DEDICATION ______________________________
\tstmiss%
  {\DEDICATION}%
  {}%
  {}
  {	%give out DEDICATION:
   \vskip\beforeded\bgroup\it\noindent\ignorespaces\the\DEDICATION%
   \endgraf\egroup%
  }%
  {}
%
%--------------------------------------------------------------------
%	test if top matter is lower than the predefined value:
%--------------------------------------------------------------------
\basesize\hsize=\colhsize
%	to get the correct reference height:
\vskip2\defaultbase
%%changed from: \phantom{Sg}
\setbox0=\hbox{S}
\noindent\hbox{\vrule height\ht0 width 0pt depth0pt}\par
%
\global\advance\realhead by \bumarkskip
%THS added 4 17 90 fullheadstuff
\ifnum\pageno=1
	\fullhead = \pagetotal
	\advance\fullhead by-\defaultbase
	\ifdim\fullhead<\realhead
		\global\headlskip=\realhead
		\global\advance\headlskip by -\fullhead%
		\global\fullhead=\realhead
		\global\let\bigsav\bigskip
		\gdef\bigskip{}% to avoid TeX's standard bigskip after topinsert
		\topinsert\vbox{\vskip\headlskip%	"vfill"
			       }\endinsert	
		\global\let\bigskip\bigsav
	\else
		\global\headlskip=0pt
		\global\let\bigsav\bigskip
		\gdef\bigskip{}% to avoid TeX's standard bigskip after topinsert
		\topinsert\vbox{\vskip\headlskip%	"vfill"
			       }\endinsert	
		\global\let\bigskip\bigsav
	\fi
\fi
\global\advance\fullhead by 10pt%%changed from: \topskip; fixed value!
\global\advance\fullhead by \lineskip
\vskip-\defaultbase
%
%____________ SUMMARY ______________________________
\tstmiss%
  {\TRANSTITLE}
  {}%
  {}%
  {\endgraf\noindent\bgroup\leftskip=0cc%
     {\bf\ignorespaces\the\TRANSTITLE}%
     \endgraf\vskip \defaultbase\egroup%
  }%
  {}%
%
\tstmiss%
  {\SUMMARY}%
  {\missmsg{Summary}}%
  {\global\SUMMARY={Not yet supplied.}}%
  {}%
  {\bgroup\noindent{\bf \summary. }%
     \ignorespaces\the\SUMMARY\endgraf\egroup%
  }%
%
%____________ KEYWORDS ______________________________
\ifcase \keyob
  \tstmiss%
    {\KEYWORDS}
    {}%
    {}%
    {\vskip\beforekey\endgraf\noindent\hangindent=0cc\hangafter=0%
     {\bf Key words: }\ignorespaces\the\KEYWORDS\endgraf
    }%
    {}%
  \or
    \tstmiss%
      {\KEYWORDS}%
      {\missmsg{Keywords}}%
      {}%
      {\vskip\beforekey\endgraf\noindent\hangindent=0cc\hangafter=0%
       {\bf Key words: }\ignorespaces\the\KEYWORDS\endgraf
      }%
      {}%
  \or
%
%____________ SUBCLASS ______________________________
     \tstmiss%
       {\SUBCLASS}%
       {\missmsg{Subject Classifications}}%
       {}%
       {\vskip\beforekey\endgraf\noindent\hangindent=0cc\hangafter=0%
        {\it Subject Classifications. }\ignorespaces\the\SUBCLASS\endgraf
       }%
       {}%
  \or
%____________ PACS ______________________________
     \tstmiss%
       {\PACS}%
       {\missmsg{PACS}}%
       {}%
       {\vskip\beforekey\endgraf\noindent\hangindent=0cc\hangafter=0%
        {\bf PACS: }\ignorespaces\the\PACS\endgraf
       }%
       {}%
%
\fi
%
\par
\global\stars=0
%%
\tstmiss%
  {\TRANSSUM}%
  {}%
  {}%
  {\vskip\defaultbase\endgraf\noindent\bgroup\leftskip=0cc%
   {\bf\ignorespaces\transsummary.\ }\ignorespaces%
   \the\TRANSSUM\endgraf\egroup
  }%
  {}
%%%%%%%%% TRANSLATED KEYWORDS
%	  note: user has to write the whole thing
  \tstmiss%
    {\TRANSKEY}%
    {}%
    {}%
    {\vskip\beforekey\endgraf\noindent\hangindent=0cc\hangafter=0%
     \the\TRANSKEY\endgraf
    }%
    {}%
% glue made strechable 20.12.90 binding
\vskip 10dd plus 6pt minus 4pt
\hrule width \colhsize
\vskip 10dd plus 6pt minus 4pt
%--------------------------------------------------------------------
%
%-------------------------------------------------------------------
%%%%%%%	REFEREE
%-----------------------------------------------------------------
\if Y\REFEREE
\message{A referee's copy will be produced|}
\footline={\copy\refereebox}%
\normalbaselineskip=2\normalbaselineskip
\normallineskip=2\normallineskip\normalbaselines
\fi
%%%%%%%%%%%%%%%%%%%
\catcode`\@=12%
\global\curhd={y}
\vskip2\defaultbase
% die naechste def. scheint nicht zu funktionieren. binding
\gdef\nignorepar{%
	\parindent=0pt%
	\gdef\par{\ifvmode\else\endgraf\let\par=\endgraf
	\parindent=\defaultparindent
	% changed 4.5:
	\global\curhd={z}
	\fi}}
\nignorepar
%next four lines added by binding 20.12.90
\smallskipamount=3pt plus 1pt minus 1pt
\medskipamount=6pt plus 2pt minus 2pt
\bigskipamount=12pt plus 4pt minus 4pt
\parskip=0pt plus 1pt
%
}% end of \maketitle and group of "@":
% "@" set back to normal character.
%
%-----------------------------------------------------------------
%%%%%	Definition of \typeset:
%THS: defined in 2sp!
%\def\typeset{\bigskip\bgroup\petit\noindent
%  This article was processed by the authors \hfill \break
%  using the Springer-Verlag \TeX\ \SprJLogoname\ macro package 1990.%
%  \egroup}%
%
\newbox\springerMacro \setbox\springerMacro=\vbox{}
%changed by binding 18.12.90
\setbox\springerMacro=\vbox{\petit\noindent
   This article was processed by the author(s) using the\hfill\break
   Sprin\-ger-Ver\-lag plain-\TeX\ \SprJLogoname\ macro package 1991.}
%%%%%	Definition of \bye:
\outer\def\bye{%
	\typeset\bigskip
%			the list of user defined char-macros:
  \checkspec
  \if R\lr\null\fi% THS 2sp
  \vfill\supereject\end}
%
\basesize
% End of included file: genb.tex
% Begin of included file: twocol.tex
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Springer macro file: Part %M% Version %I% (%G%) EDS
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%%%
%%% AA.FIX (OUTPUTLR.TEX modified for Astronomy & Astrophysics)
%%%
%%%%%
%%%%% -----------------------------------------------------------------
%%%%%
%%%%% Author: Konrad Bernl�hr         (C) 1990
%%%%%         (with ideas from the TeX Book and from LATEX.TEX)
%%%%%
%%%%% This file gives plain TeX the ability of single and double
%%%%% column output with floating insertions at the top which span
%%%%% both columns in double column format.
%%%%% The default format is double column format. Switching between
%%%%% single and double column format is provided but inserts
%%%%% an immediate page break and ejects all floating insertions.
%%%%% Double column floating insertions defined in text in a
%%%%% right column are held back until the beginning of the next page.
%%%%%
%%%%% -----------------------------------------------------------------
%%%%%
%%%%% Macros which the user should know about:
%%%%%
%%%%% \setuplr#1#2#3   : Should be called before any output
%%%%%                    #1 = O (one column) or T (two columns,default)
%%%%%                    #2 <dimen> = text width (both columns)
%%%%%                    #3 <dimen> = column width
%%%%%
%%%%% \newpage         : Fill a whole page and start a new one
%%%%% \newcolumn       : Start a new column
%%%%% \onecolumn       : Break the current page and switch to one column
%%%%% \twocolumns      : Break the current page and switch to two columns
%%%%%
%%%%% \bothtopinsert   : Beginning of a floating insertion over the
%%%%%                    full text width
%%%%% \endbothinsert   : End of such an insertion (analog to \endinsert)
%%%%% \specialpage     : Insert a special page following the current page
%%%%%
%%%%% All macros with a '@' in their names are for internal usage only.
%%%%%
%%%%% Modified macros for A&A:
%%%%%    \output \typeset \refereelayout
%%%%%    \titlea \titleb \titlec \titled
%%%%%    \begref \ref \endref \ack \app \figure
%%%%%    \begfig \begfigwid \begtab \begtabfullwid \begtabemptywid
%%%%% Original A&A macros using one of the modified macros:
%%%%%    \bye (\typeset)
%%%%% New macros for A&A:
%%%%%    \begfigpage \begtabempty \begtabfull \begtabpage
%%%%%    \puthere \putattop \putatbottom
%%%%%
%%%%% -----------------------------------------------------------------
%
\catcode`@=11    % use @ as a normal character
%
\newdimen\@txtwd  \@txtwd=\hsize
\newdimen\@txtht  \@txtht=\vsize
\newdimen\@colht  \@colht=\vsize
\newdimen\@colwd  \@colwd=-1pt
\newdimen\@colsavwd
%%%
%%% =========== Macros for initializing the whole thing ==========
%%%
\newcount\in@t \in@t=0
\def\initlr{\if N\lr \ifdim\@colwd<0pt \global\@colwd=\hsize \fi
   \else\global\let\lr=L\ifdim\@colwd<0pt \global\@colwd=\hsize
      \global\divide\@colwd\tw@ \global\advance\@colwd by -10pt
   \fi\fi\global\advance\in@t by 1}
\def\setuplr#1#2#3{\let\lr=O \ifx#1\lr\global\let\lr=N
      \else\global\let\lr=L\fi
   \@txtht=\vsize \@colht=\vsize \@txtwd=#2 \@colwd=#3
   \if N\lr \else\multiply\@colwd\tw@ \fi
   \ifdim\@colwd>\@txtwd\if N\lr
        \errmessage{The text width is less than the column width}
      \else
        \errmessage{The text width is less the two times the column width}
      \fi \global\@colwd=\@txtwd
      \if N\lr\divide\@colwd by 2\fi
   \else \global\@colwd=#3 \fi \initlr \@colsavwd=#3
   \global\@insmx=\@txtht
   \global\hsize=\@colwd}
%% ----------- switching between one and two column output ------
\def\twocolumns{\@fillpage\eject\global\let\lr=L \@makecolht
   \global\@colwd=\@colsavwd \global\hsize=\@colwd}
\def\onecolumn{\@fillpage\eject\global\let\lr=N \@makecolht
   \global\@colwd=\@txtwd \global\hsize=\@colwd}
\def\newpage{\@fillpage\eject}
\def\@fillpage{\vfill\supereject\if R\lr \null\vfill\eject\fi}
\def\newcolumn{\vfill\supereject}
%% ----------------------------------------------------------------
%%%
%%% =============== Macros used by the output routine ===============
%%%
\newbox\@leftcolumn
\newbox\@rightcolumn
\newbox\@outputbox
\newbox\@tempboxa
\newbox\@keepboxa
\newbox\@keepboxb
\newbox\@bothcolumns
\newbox\@savetopins
\newbox\@savetopright
\newcount\verybad \verybad=1010
%% -------- \@makecolumn puts the current column in a box ---------
\def\@makecolumn{\ifnum \in@t<1\initlr\fi
   \ifnum\outputpenalty=\the\verybad1  %%% i.e. 10101 if \verybad=1010
      \if L\lr\else\advance\pageno by1\fi
      \message{Warning: There is a 'widow' line
      at the top of page \the\pageno\if R\lr (left)\fi.
      This is unacceptable.} \if L\lr\else\advance\pageno by-1\fi \fi
   \ifnum\outputpenalty=\the\verybad2
      \message{Warning: There is a 'club' line
      at the bottom of page \the\pageno\if L\lr(left)\fi.
      This is unacceptable.} \fi
   \if L\lr \ifvoid\@savetopins\else\@colht=\@txtht\fi \fi
   \if R\lr \ifvoid\@bothcolumns \ifvoid\@savetopright
       \else\@colht=\@txtht\fi\fi\fi
   \global\setbox\@outputbox
   \vbox to\@colht{\boxmaxdepth\maxdepth
   % One-column top insertions are held back if there is already a
   % two-column floating insertion and the one-column top insertion
   % doesn't fit entirely in the column.
   \if L\lr \ifvoid\@savetopins\else\unvbox\@savetopins\fi \fi
   \if R\lr \ifvoid\@bothcolumns \ifvoid\@savetopright\else
       \unvbox\@savetopright\fi\fi\fi
   \ifvoid\topins\else\ifnum\count\topins>0
         \ifdim\ht\topins>\@colht
            \message{|Error: Too many or too large single column
            box(es) on this page.}\fi
         \unvbox\topins
      \else
         \global\setbox\@savetopins=\vbox{\ifvoid\@savetopins\else
         \unvbox\@savetopins\penalty-500\fi \unvbox\topins} \fi\fi
   \dimen@=\dp\@cclv \unvbox\@cclv % open up \box255
   \ifvoid\bottomins\else\unvbox\bottomins\fi
   \ifvoid\footins\else % footnote info is present
     \vskip\skip\footins
     \footnoterule
     \unvbox\footins\fi
   \ifr@ggedbottom \kern-\dimen@ \vfil \fi}
}
%% --------- \@outputpage puts the columns and the top insertions
%% --------- together and puts them out
\def\@outputpage{\@dooutput{\lr}}
\def\@colbox#1{\hbox to\@colwd{\box#1\hss}}
\def\@dooutput#1{\global\topskip=\defaulttopskip
  \ifdim\ht\@bothcolumns>\@txtht
    \if #1N
       \unvbox\@outputbox
    \else
       \unvbox\@leftcolumn\unvbox\@outputbox
    \fi
    \global\setbox\@tempboxa\vbox{\hsize=\@txtwd\makeheadline
       \vsplit\@bothcolumns to\@txtht
       \makefootline\hsize=\@colwd}
    \message{|Error: Too many double column boxes on this page.}
    \shipout\box\@tempboxa\advancepageno
    \unvbox255 \penalty\outputpenalty
  \else
    \global\setbox\@tempboxa\vbox{\hsize=\@txtwd\makeheadline
       \ifvoid\@bothcolumns\else\unvbox\@bothcolumns\fi
       \hsize=\@colwd
       \if #1N
          \hbox to\@txtwd{\@colbox{\@outputbox}\hfil}
       \else
          \hbox to\@txtwd{\@colbox{\@leftcolumn}\hfil\@colbox{\@outputbox}}
       \fi
       \hsize=\@txtwd\makefootline\hsize=\@colwd}
    \shipout\box\@tempboxa\advancepageno
  \fi
  \ifnum \special@pages>0 \s@count=100 \page@command
      \xdef\page@command{} \global\special@pages=0 \fi
  }
%% -------- \balance@right@left balances the columns on the last
%% -------- page of text.
\def\balance@right@left{\dimen@=\ht\@leftcolumn
    \advance\dimen@ by\ht\@outputbox
    \advance\dimen@ by\ht\springerMacro
    \dimen2=\z@ \global\the@end=0
    % put both columns together and compensate \vfill at the end
    \ifdim\dimen@>70pt\setbox\z@=\vbox{\unvbox\@leftcolumn
          \unvbox\@outputbox}
       \loop
          \dimen@=\ht\z@
          \advance\dimen@ by0.5\topskip
          \advance\dimen@ by\baselineskip
          \advance\dimen@ by\ht\springerMacro
          \advance\dimen@ by\dimen2
          \divide\dimen@ by2
          \splittopskip=\topskip
          % Now split it to two parts of about the same height
          {\vbadness=10000
             \global\setbox3=\copy\z@
             \global\setbox1=\vsplit3 to \dimen@}
          \dimen1=\ht3 \advance\dimen1 by\ht\springerMacro
       \ifdim\dimen1>\ht1 \advance\dimen2 by\baselineskip\repeat
       \dimen@=\ht1
       % Restore the column boxes and adjust
       \global\setbox\@leftcolumn
          \hbox to\@colwd{\vbox to\@colht{\vbox to\dimen@{\unvbox1}\vfil}}
       \global\setbox\@outputbox
          \hbox to\@colwd{\vbox to\@colht{\vbox to\dimen@{\unvbox3
             \vfill\box\springerMacro}\vfil}}
    \else
       \setbox\@leftcolumn=\vbox{unvbox\@leftcolum\bigskip
          \box\springerMacro}
    \fi}
%
%%%
%%% ================== Insertion routines ======================
%%%
%%% This follows loosely the definition of \topins by Knuth but without
%%% the need to distinguish between 3 different kinds of insertions.
%%% See the TeXBook p.363.
%%% Insertions in right columns are first saved in a box (\rightins)
%%% and inserted to \bothins after this column has been shipped out.
%
\newinsert\bothins
\newbox\rightins
\skip\bothins=\z@skip
\count\bothins=1000
\dimen\bothins=\@txtht \advance\dimen\bothins by -\bigskipamount
\def\bothtopinsert{\par\begingroup\setbox\z@\vbox\bgroup
    \hsize=\@txtwd\parskip=0pt\par\noindent\bgroup}
\def\endbothinsert{\egroup\egroup
  \if R\lr
    \right@nsert
  \else    % L\lr or N\lr
    % If double column insertions don't fit into the current columm
    % keep them until the next page starts.
    \dimen@=\ht\z@ \advance\dimen@ by\dp\z@ \advance\dimen@ by\pagetotal
    \advance\dimen@ by \bigskipamount \advance\dimen@ by \topskip
    \advance\dimen@ by\ht\topins \advance\dimen@ by\dp\topins
    \advance\dimen@ by\ht\bottomins \advance\dimen@ by\dp\bottomins
    \advance\dimen@ by\ht\@savetopins \advance\dimen@ by\dp\@savetopins
    \ifdim\dimen@>\@colht\right@nsert\else\left@nsert\fi
  \fi  \endgroup}
\def\right@nsert{\global\setbox\rightins\vbox{\ifvoid\rightins
    \else\unvbox\rightins\fi\penalty100
    \splittopskip=\topskip
    \splitmaxdepth\maxdimen \floatingpenalty200
    \dimen@\ht\z@ \advance\dimen@\dp\z@
    \box\z@\nobreak\bigskip}}
\def\left@nsert{\insert\bothins{\penalty100
    \splittopskip=\topskip
    \splitmaxdepth\maxdimen \floatingpenalty200
    \box\z@\nobreak\bigskip}
    \@makecolht}
\newdimen\@insht    \@insht=\z@
\newdimen\@insmx    \@insmx=\vsize
%% ------ \@makecolht computes the available height of the current column.
\def\@makecolht{\global\@colht=\@txtht \@compinsht
    \global\advance\@colht by -\@insht \global\vsize=\@colht
    \global\dimen\topins=\@colht}
\def\@compinsht{\if R\lr
       \dimen@=\ht\@bothcolumns \advance\dimen@ by\dp\@bothcolumns
       \ifvoid\@bothcolumns \advance\dimen@ by\ht\@savetopright
          \advance\dimen@ by\dp\@savetopright \fi
    \else
       \dimen@=\ht\bothins \advance\dimen@ by\dp\bothins
       \advance\dimen@ by\ht\@savetopins \advance\dimen@ by\dp\@savetopins
    \fi
    \ifdim\dimen@>\@insmx
       \global\@insht=\dimen@
    \else\global\@insht=\dimen@
    \fi}
\newinsert\bottomins
\skip\bottomins=\z@skip
\count\bottomins=1000
%%%
%%% Special pages to be inserted
%%%
\xdef\page@command{}
\newcount\s@count
\newcount\special@pages \special@pages=0
\def\specialpage#1{\global\advance\special@pages by1
    \global\s@count=\special@pages
    \global\advance\s@count by 100
    \global\setbox\s@count
       \vbox to\@txtht{\hsize=\@txtwd\parskip=0pt
       \par\noindent\noexpand#1\vfil}
    \xdef\page@command{\page@command
       \noexpand\global\advance\s@count by1
       \begingroup\setbox\z@\vbox{\noexpand\makeheadline
       \box\s@count\noexpand\makefootline}
       \noexpand{\shipout\box\z@}\endgroup\noexpand\advancepageno}
   }
%%%
%%%
%%% This little macro adjusts the top of figure boxes with the
%%% the top of the column. Previously they were adjusted with the
%%% the baseline of the first row in a column.
\def\@startins{\vskip \topskip\hrule height\z@
   \nobreak\vskip -\topskip\vskip3.7pt}
%%%
%%%  ==============  The main output routine ===============
%%%
%%%           The output routine was adapted to A&A
%%%
\let\retry=N
\output={\@makecolht \global\topskip=\defaulttopskip \let\retry=N
   \ifnum\count\topins>0 \ifdim\ht\topins>\@colht
       \global\count\topins=0 \global\let\retry=Y
       \unvbox\@cclv \penalty\outputpenalty \fi\fi
   \if N\retry
    \if N\lr     % this is for single column output
       \@makecolumn
       \ifnum\the@end>0
          \setbox\z@=\vbox{\unvcopy\@outputbox}
          \dimen@=\ht\z@ \advance\dimen@ by\ht\springerMacro
          \ifdim\dimen@<\@colht
             \setbox\@outputbox=\vbox to\@colht{\box\z@
             \unskip\vskip12pt plus0pt minus12pt
             \box\springerMacro\vfil}
          \else \box\springerMacro \fi
          \global\the@end=0
       \fi
       \ifvoid\bothins\else\global\setbox\@bothcolumns\box\bothins\fi
       \@outputpage
       \ifvoid\rightins\else
       %  Hold \rightins back if there is already a \@savetopins
       \ifvoid\@savetopins\insert\bothins{\unvbox\rightins}\fi
       \fi
    \else
       \if L\lr    % this is the left of two columns
          \@makecolumn
          \global\setbox\@leftcolumn\box\@outputbox \global\let\lr=R
          \ifnum\pageno=1
             \message{|[left\the\pageno]}
          \else
             \message{[left\the\pageno]} \fi
          \ifvoid\bothins\else\global\setbox\@bothcolumns\box\bothins\fi
          \global\dimen\bothins=\z@
          \global\count\bothins=0
          \ifnum\pageno=1
             \global\topskip=\fullhead\fi
       \else    % the right column
          \@makecolumn
          \ifnum\the@end>0\ifnum\pageno>1\balance@right@left\fi\fi
          \@outputpage \global\let\lr=L
          \global\dimen\bothins=\maxdimen
          \global\count\bothins=1000
          \ifvoid\rightins\else
          %  Hold \rightins back if there is already a \@savetopins
             \ifvoid\@savetopins \insert\bothins{\unvbox\rightins} \fi
          \fi
       \fi
    \fi
    \global\let\last@insert=N \put@default
    \ifnum\outputpenalty>-\@MM\else\dosupereject\fi
    \ifvoid\@savetopins\else
      \ifdim\ht\@savetopins>\@txtht
        \global\setbox\@tempboxa=\box\@savetopins
        \global\setbox\@savetopins=\vsplit\@tempboxa to\@txtht
        \global\setbox\@savetopins=\vbox{\unvbox\@savetopins}
        \global\setbox\@savetopright=\box\@tempboxa \fi
    \fi
    \@makecolht
    \global\count\topins=1000
   \fi
   }
%
%%% ----------  Start one- or two-column output  ---------
%
\if N\lr
   \setuplr{O}{\fullhsize}{\hsize}    % O = one column
\else
   \setuplr{T}{\fullhsize}{\hsize}    % T = two columns
\fi
%
%%%
%%% ===================================================================
%%%
%%%      The rest is specific for Astronomy & Astrophysics.
%%%      Here are macros which had to be redefined.
%%%
%%% ===================================================================
%%
%%     Figures and tables:
%%
%%     The macros cover the case of single column format as well
%%     as double column format. In single column format all 'double
%%     column' insertions are reduced to single column insertions.
%%     While real double column insertions will always appear at
%%     the top of page, the placement of single column insertions
%%     can be influenced by the definition of \put@default.
%%     Possible positions are at the current position (only if
%%     \insert@here expands to Y, there is no top and no bottom insertion
%%     so far, and there is enough space), at the bottom of the column
%%     (only if \insert@at@the@bottom expands to Y and there is enough
%%     space in this column) and at the top of the column but below
%%     any double column insertion.
%%
%%% ===================================================================
%
% The default placement of single column figures is usually at the top.
% If the figure almost fills the page if inserted at the bottom,
% it may go there.
% changed by binding 3.12.90             Y statt N
\def\put@default{\global\let\insert@here=N
   \global\let\insert@at@the@bottom=N} %binding changed from Y to N
% Allow figures to be inserted a the current position (if possible):
\def\puthere{\global\let\insert@here=Y
    \global\let\insert@at@the@bottom=N}
% All figures are inserted at the top:
\def\putattop{\global\let\insert@here=N
    \global\let\insert@at@the@bottom=N}
% Figures are inserted at the bottom (if possible):
\def\putatbottom{\global\let\insert@here=N
    \global\let\insert@at@the@bottom=X}
%--------------------------------------------------------------------
\put@default
\let\last@insert=N        % Always reset to 'N' when a column is finished
\def\end@skip{\smallskip} % This space is added except after bottom insertions
\newdimen\min@top
\newdimen\min@here
\newdimen\min@bot
\min@top=10cm
\min@here=4cm   % do not insert figures after a few lines of text only
\min@bot=\topskip % figures may be at the bottom but there is a \@startins
\def\figfuzz{\vskip 0pt plus 6pt minus 3pt}  % more flexible spacing
%--------------------------------------------------------------------
%
\def\check@here@and@bottom#1{\relax
   %%% Several conditions have to be true if a figure or table can be
   %%% inserted at the current position or at the bottom of the page.
   %%% These conditions should preserve the
   %%% order of single column figures and put floating figures
   %%% always to the top of a column. However, exceptions are
   %%% possible with a \puthere\begfig{...}\endfig appearing at
   %%% the current position and a later \begfig{...}\endfig
   %%% appearing at the top of the same column.
   %
   \ifvoid\topins\else       \global\let\insert@here=N\fi
   \if B\last@insert         \global\let\insert@here=N\fi
   \if T\last@insert         \global\let\insert@here=N\fi
   \ifdim #1<\min@bot        \global\let\insert@here=N\fi
   \ifdim\pagetotal>\@colht  \global\let\insert@here=N\fi
   \ifdim\pagetotal<\min@here\global\let\insert@here=N\fi
   %
   \if X\insert@at@the@bottom\global\let\insert@at@the@bottom=Y
     \else\if T\last@insert  \global\let\insert@at@the@bottom=N\fi
          \if H\last@insert  \global\let\insert@at@the@bottom=N\fi
          \ifvoid\topins\else\global\let\insert@at@the@bottom=N\fi\fi
   \ifdim #1<\min@bot        \global\let\insert@at@the@bottom=N\fi
   \ifdim\pagetotal>\@colht  \global\let\insert@at@the@bottom=N\fi
   \ifdim\pagetotal<\min@top \global\let\insert@at@the@bottom=N\fi
   %
   \ifvoid\bottomins\else    \global\let\insert@at@the@bottom=Y\fi
   \if Y\insert@at@the@bottom\global\let\insert@here=N\fi }
%
\def\single@column@insert#1{\relax
   \setbox\@tempboxa=\vbox{#1}
   \dimen@=\@colht \advance\dimen@ by -\pagetotal
   \advance\dimen@ by-\ht\@tempboxa \advance\dimen0 by-\dp\@tempboxa
   \advance\dimen@ by-\ht\topins \advance\dimen0 by-\dp\topins
   \check@here@and@bottom{\dimen@}
   \if Y\insert@here
      \par  % The insertion forces a new paragraph in this case.
      \midinsert\figfuzz\bigskip\box\@tempboxa\end@skip\figfuzz\endinsert
      \global\let\last@insert=H
   \else \if Y\insert@at@the@bottom
      \begingroup\insert\bottomins\bgroup\if B\last@insert\end@skip\fi
      \floatingpenalty=20000\figfuzz\bigskip\box\@tempboxa\egroup\endgroup
      \global\let\last@insert=B
   \else
      \topinsert\box\@tempboxa\end@skip\figfuzz\endinsert
      \global\let\last@insert=T
   \fi\fi\put@default}
%
% ---------------- The insertion macros for the user -------------------
%
\def\begfig#1cm#2\endfig{\single@column@insert{\@startins\frame{#1}#2}}
\def\begfigwid#1cm#2\endfig{\relax
   \if N\lr  % Here the only difference to \begfig is the larger \hsize
      {\hsize=\fullhsize \begfig#1cm#2\endfig}
   \else
      \bothtopinsert\line{\vbox{\hsize=\fullhsize
      \@startins\frame{#1}#2\smallskip}\hss}\figfuzz\endbothinsert
   \fi}
\def\begfigpage#1cm#2\endfig{\specialpage{\@startins
   \vskip3.7pt\frame{#1}#2}}
\def\begtab#1cm#2\endtab{\single@column@insert{\medskip#2\frame{#1}}}
\let\begtabempty=\begtab
%% 11.10.90 eri: \petit inserted
\def\begtabfull#1\endtab{\single@column@insert{\medskip{\petit #1}}}
\def\begtabemptywid#1cm#2\endtab{\relax
   \if N\lr
      {\hsize=\fullhsize \begtabempty#1cm#2\endtab}
   \else
      \bothtopinsert\line{\vbox{\hsize=\fullhsize
      #2\frame{#1}}\hss}\medskip\endbothinsert
   \fi}
%% 11.10.90 eri: \petit inserted
\def\begtabfullwid#1\endtab{\relax
   \if N\lr
      {\hsize=\fullhsize \begtabfull#1\endtab}
   \else
      \bothtopinsert\line{\vbox{{\petit\hsize=\fullhsize
      \noindent#1}\hss}}\medskip\endbothinsert
   \fi}
\def\begtabpage#1\endtab{\specialpage{#1}}
%--------------------------------------------------------------------
% Figure captions modified: \smallskip at the end is environment dependent
\def\figure#1#2{\bigskip\noindent{\petit{\bf Fig.\ts#1.\ }%
\ignorespaces #2\smallskip}}
%--------------------------------------------------------------------
%%%
%%% This is what the new \refereelayout looks like.
%%%
\def\refereelayout{\let\REFEREE=M\footline={\copy\refereebox}
    \message{|A referee's copy will be produced}\par
    \if N\lr\else\if R\lr \onecolumn \fi \let\lr=N \topskip=\defaulttopskip\fi}
%
%====================================================================
%%%
%%% Here are a few modifications to style parameters. They discourage
%%% page (or rather column) breaks before displayed equations (but not
%%% as much as it was in PLAIN.TEX).
%%%
\predisplaypenalty=600        % Make a page break before a display harder
\displaywidowpenalty=2000     % and even harder for a widow display.
%%%
%%% Clubs and widows are discouraged. They should never appear in
%%% a the journal. However, TeX cannot distinguish between a bad
%%% page break and a disastrous page break. The very large penalties
%%% for club and widow lines can be reduced temporarily with
%%% \widowsandclubs{nnnn} with nnnn below 1000 (the default is 1010).
%%% If a club or widow line appears (which is possible then),
%%% the user is notified (see the \@makecolumn macro).
%%%
\def\widowsandclubs#1{\global\verybad=#1
   \global\widowpenalty=\the\verybad1      % default: 10101
   \global\clubpenalty=\the\verybad2  }    % default: 10102
\widowsandclubs{1010}
%
%--------------------------------------------------------------------
%%%
%%% In addition to printing the modification note the following
%%% modification of \typeset is important to get balanced columns
%%% on the last page of ordinary text. However, single column figures
%%% or tables printed later might be unbalanced.
%%%
\newcount\the@end \global\the@end=0
%\newbox\springerMacro \setbox\springerMacro=\vbox{}
%\def\typeset{\setbox\springerMacro=\vbox{\petit\noindent
%   This article was processed by the author using
%   Sprin\-ger-Ver\-lag \TeX\ \SprJLogoname\ macro package 1990.}
%   \global\the@end=1}
\def\typeset{%\springerMacro
\global\the@end=1}
%--------------------------------------------------------------------
\catcode`@=12
\catcode`\@=\active   % This is reset by the \maketitle macro
%
%%% Now tell the user that this file was included
%
\message{You included the fix for double column
    floating insertions (V 1.08)              }
% End of included file: twocol.tex
% added by binding 20.12.90
\def\newline{\hfil\break}