2 %% Commented out the change to \newlinechar
3 %% Increased space in Contents
4 %% Changed \thebibliography to the defn in llncs.sty
6 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
8 % MATHSING.STY Version 1.1
10 % This LaTeX style option file contains necessary macros for writing
11 % camera ready English single author math book manuscripts.
16 % \documentstyle[12pt,mathsing]{book}
21 % 90/11/04 pagestyle empty for first page of chapter
22 % 90/11/04 distinct figure and table captions
23 % 90/11/04 \small for captions and headings
24 % 90/11/04 improved definition of theorem-like environments
25 % 90/12/01 separation after chapter title changed to 5.1cm
26 % 90/12/01 page size changed to 45x14.4+10pt=23.05cm
28 % 90/12/01 common counter for theorem-like environments
29 % 90/12/02 table of contents
30 % 90/12/02 final improvements and corrections
31 % 90/12/26 two styles for equation numbers
32 % 91/02/05 \numberlikebook and \numberlikearticle replace
33 % \eqnbook and \eqnarticle
34 % 91/10/07 \listoffigures, \listoftables made similar to
36 % running head of Index changed: Sachverzeichnis -> Index,
37 % \newthe now uses \thechapter instead of \arabic{chapter}
38 % 91/02/05 binding: \tablebook, \tablearticle
39 % \figurebook, \figurearticle added
40 % 91/10/07 holzwarth: \listoffigures, \listoftables
41 % according to \tableofcontents,
43 % \newthe to produce correct numbers
44 % 91/12/03 \chapter, \section, and \subsection now do not
45 % hyphenate the headings any more
47 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
51 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
53 % change the catcode of @ (allows names containing @ after \begin{document})
55 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
60 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
62 % page layout and dimensions
64 % The following commands are redefined:
66 % \ps@headings (cf. BOOK.STY)
68 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
73 % Note: The following values do not apply for English Springer
74 % books on phsics; use \baselineskip=14pt, \textwidth=13.8cm,
75 % \textheight=640pt (=45x14pt+10pt=22.5cm) instead!
78 \baselineskip=14.4pt % LaTeX default
81 \textwidth=14.2cm % 1.2 x 11.833 cm
82 \textheight=658pt % 45x14.4pt+10pt = 658pt = 23.0554cm
83 %\textheight=23.2502cm % 1.2x19.3752cm=23.2502cm (first version)
88 \parindent=7mm % 1.2 x 5.833mm
90 \hfuzz=2pt % supress "overfull box" messages below 2pt
92 \frenchspacing % no large blanks at the end of a sentence
97 \abovedisplayskip=3.6 mm plus7.2pt minus 4.8pt
98 \belowdisplayskip=3.6 mm plus7.2pt minus 4.8pt
99 \abovedisplayshortskip=0.0 mm plus7.2pt minus 2.4pt
100 \belowdisplayshortskip=2.4 mm plus4.8pt minus 4.8pt
102 \predisplaypenalty=0 % penalties for page break
104 \widowpenalty=10000 %
111 % binding 5.2.91 \hspace changed to 1.0 cm | |
112 % binding 5.2.91 dot deleted after \thesection |
114 \let\@mkboth\markboth
117 \def\@evenhead{\rm\small\thepage\hspace{1.0cm}\leftmark\hfil\hbox{}}
118 \def\@oddhead{\hbox{}\hfil\rm\small\rightmark\hspace{1.0cm}\thepage}
119 \def\chaptermark##1{\markboth
120 {\ifnum \c@secnumdepth >\m@ne \thechapter.\ \fi ##1}{}}
121 %hier punkt raus. binding |
122 \def\sectionmark##1{\markright
123 {\ifnum \c@secnumdepth >\z@ \thesection\ \fi ##1}}
132 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
134 % Chapters and Sections
136 % The following commands are redefined:
138 % \@makechapterhead (cf. BK12.STY)
139 % \@makeschapterhead (cf. BK12.STY)
140 % \chapter (cf. BK12.STY)
141 % \@sect (cf. LATEX.TEX)
142 % \section (cf. BK12.STY)
143 % \subsection (cf. BK12.STY)
144 % \subsubsection (cf. BK12.STY)
145 % \paragraph (cf. BK12.STY)
146 % \subparagraph (cf. BK12.STY)
148 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
151 % number of numbered section levels
154 \setcounter{secnumdepth}{3}
158 % Adapt the font size for chapter titles and supress printing of
162 \def\@makechapterhead#1{ { \parindent 0pt \raggedright
163 % \pretolerance added 12/3/91 fuh
164 {\pretolerance=10000\Large \bf \thechapter.\hspace{0.3cm}#1\par}%
165 \nobreak \vskip 4cm \vskip\baselineskip} }
167 \def\@makeschapterhead#1{ { \parindent 0pt \raggedright
168 % \pretolerance added 12/3/91 fuh
169 \pretolerance=10000\Large \bf #1\par
170 \nobreak \vskip 4cm \vskip\baselineskip} }
173 % define pagestyle=empty for first page of a chapter
176 \def\chapter{\cleardoublepage \thispagestyle{empty} \global\@topnum\z@
177 \@afterindentfalse \secdef\@chapter\@schapter}
180 % Change the distance between section number and title from 1em to 2mm
181 % binding: changed again to 1en=0.5em | 5.2.91
184 \def\@sect#1#2#3#4#5#6[#7]#8{\ifnum #2>\c@secnumdepth
187 \edef\@svsec{\csname the#1\endcsname\hskip 0.5em }\fi
189 \ifdim \@tempskipa>\z@
191 % changed by Binding :) 20.3.91
192 % old: \@hangfrom{\hskip #3\relax\@svsec}{\interlinepenalty \@M #8\par}
193 % \@hangfrom deleted to avoid hanging indentation \noindent added
194 {\noindent\hskip #3\relax\@svsec}%
195 {\interlinepenalty \@M #8\par}
197 \csname #1mark\endcsname{#7}\addcontentsline
198 {toc}{#1}{\ifnum #2>\c@secnumdepth \else
199 \protect\numberline{\csname the#1\endcsname}\fi
201 \def\@svsechd{#6\hskip #3\@svsec #8\csname #1mark\endcsname
203 {toc}{#1}{\ifnum #2>\c@secnumdepth \else
204 \protect\numberline{\csname the#1\endcsname}\fi
210 % Font size for section titles;
211 % Increased vertical space before and after sections, subsections
212 % and subsubsections by 1ex; run-in headings starting with subsubsection
214 % (\@startsection{NAME}{LEVEL}{INDENT}{BEFORESKIP}{AFTERSKIP}{STYLE})
217 %binding, 18.3.91: \boldmath inserted
218 \def\section{\@startsection{section}{1}{\z@}{
219 -4.50ex plus -1ex minus -.2ex}{3.3ex plus .2ex}
220 {\large\bf\boldmath\raggedright\pretolerance=10000}}
221 % \raggedright and \pretolerance added 12/3/91 fuh
222 \def\subsection{\@startsection{subsection}{2}{\z@}{
223 -4.25ex plus -1ex minus -.2ex}{2.5ex plus .2ex}
224 {\normalsize\bf\boldmath\raggedright\pretolerance=10000}}
225 % \raggedright and \pretolerance added 12/3/91 fuh
226 \def\subsubsection{\@startsection{subsubsection}{3}{\z@}{
227 -3.25ex plus -1ex minus -.2ex}{-0.5em}
228 {\normalsize\bf\boldmath}}
229 \def\paragraph{\@startsection{paragraph}{4}{\z@}{
230 -3.25ex plus -1ex minus -.2ex}{-0.5em}{\normalsize\it}}
231 \def\subparagraph{\@startsection{subparagraph}{5}{\@}{
232 -3.25ex plus -1ex minus -.2ex}{-0.5em}{\normalsize\it}}
234 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
235 %20.3.91, binding: \labelitemi changed
236 \renewcommand{\labelitemi}{$\bullet$}
237 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
241 % Change width of horizontal and vertical lines in arrays and tables
243 % The following commands are redefined:
247 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
249 \arrayrulewidth0.15mm
252 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
254 % Figure and table captions (small)
256 % To meet the different requirements for table and figure captions
257 % new macros \@makefigurecaption and \@maketablecaption are introduced
258 % in addition to \@makecaption (cf. BOOK.STY). The \@caption macro is
259 % changed to check for figures and tables.
261 % The following commands are redefined:
263 % \@caption (cf. LATEX.TEX)
264 % \fnum@figure (cf. BOOK.STY)
265 % \fnum@table (cf. BOOK.STY)
267 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
269 \long\def\@caption#1[#2]#3{\addcontentsline{\csname
270 ext@#1\endcsname}{#1}{\protect\numberline{\csname
271 the#1\endcsname}{\ignorespaces #2}}\par
275 \csname @make#1caption\endcsname
276 {\csname fnum@#1\endcsname}{\ignorespaces #3}\par
279 \long\def\@makefigurecaption#1#2{
280 \vskip 10pt % skip between figure and caption
281 {\small % required here for correct \baselineskip !
282 \setbox\@tempboxa\hbox{\small{\bf#1}#2}
283 \ifdim \wd\@tempboxa >\hsize
284 \unhbox\@tempboxa\par
286 \hbox to\hsize{\hfil\box\@tempboxa\hfil} % centered short caption !
288 \vskip 10pt} % additional space between caption and text
290 \long\def\@maketablecaption#1#2{
291 \vskip 10pt % additional space between text and caption
292 {\small % required here for correct \baselineskip !
293 \setbox\@tempboxa\hbox{\small{\bf#1}#2}
294 \ifdim \wd\@tempboxa >\hsize
295 \unhbox\@tempboxa\par
296 \else \hbox to\hsize{\box\@tempboxa\hfil} % leftadjusted short caption !
298 \vskip 10pt} % skip between caption and table
300 \def\fnum@figure{Fig.$\,$\thefigure.$\;$}
301 \def\fnum@table{Table$\,$\thetable.$\;$}
304 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
306 % Distance between text and floatings (tables, figures)
308 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
310 \floatsep 14pt plus 2pt minus 4pt % LaTeX defaults values
311 \textfloatsep 20pt plus 2pt minus 4pt %
312 \intextsep 14pt plus 4pt minus 4pt %
317 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
321 % The following commands are redefined:
323 % \l@chapter (cf. LATEX.STY)
326 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
329 % lowest level for table of contents entries
331 \setcounter{tocdepth}{3}
334 % dotted line for chapters in table of contents
335 % (cf. definition of \@dottedline in LATEX.STY)
337 \def\l@chapter#1#2{\pagebreak[3]
338 \vskip 1.0em plus 1pt \@tempdima 1.5em \begingroup
339 \parindent \z@ \rightskip \@pnumwidth
340 \parfillskip -\@pnumwidth
342 \nobreak\leaders\hbox{$\m@th \mkern \@dotsep mu.\mkern \@dotsep mu$}\hfill
344 \hbox to\@pnumwidth{\hss \rm #2}\par
347 %copied from book.sty to leave room for 12.11, etc. -- Frank Holzwarth via LCP
348 \def\l@section{\@dottedtocline{1}{1.5em}{2.8em}}
351 % Adaption of \tableofcontents (title,headings,pagenumber)
354 \def\tableofcontents{
356 \if@twocolumn\@restonecoltrue\onecolumn\fi
357 \chapter*{Table of Contents}
358 \markboth{Table of Contents}{Table of Contents} % headline
359 \renewcommand{\thepage}{\Roman{page}} % roman page number
360 \@starttoc{toc}\if@restonecol\twocolumn\fi}
362 %%%%%%%% added 91/10/07 fuh %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
366 % The following commands are redefined:
370 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
374 \if@twocolumn\@restonecoltrue\onecolumn\fi
375 \chapter*{List of Figures}
376 \markboth{List of Figures}{List of Figures} % headline
377 \renewcommand{\thepage}{\Roman{page}} % roman page number
378 \@starttoc{lof}\if@restonecol\twocolumn\fi}
380 %%%%%%%% added 91/10/07 fuh %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
384 % The following commands are redefined:
388 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
392 \if@twocolumn\@restonecoltrue\onecolumn\fi
393 \chapter*{List of Tables}
394 \markboth{List of Tables}{List of Tables} % headline
395 \renewcommand{\thepage}{\Roman{page}} % roman page number
396 \@starttoc{lot}\if@restonecol\twocolumn\fi}
398 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
400 % Index (with table of contents entry)
402 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
404 \def\theindex{ \cleardoublepage
408 \twocolumn[\@makeschapterhead{Index}]
409 \addcontentsline{toc}{chapter}{Index}
410 \@mkboth{Index}{Index}
411 \thispagestyle{plain}\parindent\z@
412 \parskip\z@ plus .3pt\relax\let\item\@idxitem}
413 \def\@idxitem{\par\hangindent 15pt}
414 \def\subitem{\par\hangindent 15pt -- }
415 \def\endtheindex{\clearpage}
416 \def\indexspace{\par \vskip 10pt plus 5pt minus 3pt\relax}
419 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
421 % References (Bibliography)
423 % Macros for creating a list of references in small print using LaTeX
424 % defaults or some special Springer commands.
428 % \begin{thebibliography}{wide-label} % LaTeX standard macros
429 % \bibitem[label]{name} ... text ...
430 % \bibitem[label]{name} ... text ...
431 % \end{thebibliography}
435 % \begin{references}{wide-label} % Springer macros
436 % \refer ... text ...
437 % \refno{no.} ... text ...
438 % \refmark{[label]} ... text ...
443 % \refchapter starts an unnumbered chapter "References"; small font
444 % \refer unlabeled item with hanging indentation
445 % \refno right adjusted label (for numbers)
446 % \refmark left adjusted label (for text labels)
450 % \thebibliography (BOOK.STY) (further edit by LCP!)
451 % \endthebibliography (BOOK.STY)
453 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
455 \def\refchapter{\chapter*{References}
456 \parindent0pt\parskip0pt\small
457 \addcontentsline{toc}{chapter}{References}
458 \markboth{References}{References}}
461 \def\thebibliography#1{\refchapter\small\list
462 {\arabic{enumi}.}{\settowidth\labelwidth{#1.}\leftmargin\labelwidth
463 \advance\leftmargin\labelsep
465 \def\newblock{\hskip .11em plus .33em minus -.07em}
467 \sfcode`\.=1000\relax}
468 \let\endthebibliography=\endlist
471 \newenvironment{references}[1]{\refchapter
472 \settowidth\labelwidth{#1\enspace}
473 \begingroup}{\endgraf\endgroup}
475 % The following macros are from REFER.TEX.
476 % \refindent is replaced by the predefined dimension \labelwidth
477 % that is also used by \thebibliography; \ref is replaced by \refer
478 % since \ref is already used for referencing lables!
482 % \refer produces ordinary entries, successive line are indented 1em
483 \def\refer{\goodbreak\hangindent1em\hangafter=1\noindent\ignorespaces}
485 % \refno produces entries with right-aligned marks in the margin
486 \def\refno#1{\goodbreak
487 \setbox0=\hbox{#1\enspace}\ifdim\labelwidth<\wd0\relax
488 \message{|Your reference `#1' is wider than you pretended in using
490 \hangindent\labelwidth\hangafter=1\noindent
491 \kern\labelwidth\llap{#1\enspace}\ignorespaces}
493 % \refmark produces entries with left-aligned marks in the margin
494 \def\refmark#1{\goodbreak
495 \setbox0=\hbox{#1\enspace}\ifdim\labelwidth<\wd0\relax
496 \message{|Your reference `#1' is wider than you pretended in using
498 \hangindent\labelwidth\hangafter=1\noindent
499 \hbox to\labelwidth{#1\hss}\ignorespaces}
503 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
507 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
510 % The following lines define a new environment 'listing'
516 % that prints listings using \footnotesize and takes care to reset
517 % the \baselineskip. The macro definition is based on ALLTT.STY that
518 % allows various TEX commands to be given within the environment
519 % (e.g. '\input', '\index' or '\it'). '%' has been retained as a special
520 % character within 'listing', however, to avoid unwanted line breaks.
524 \def\docspecials{\do\ \do\$\do\&%
525 \do\#\do\^\do\^^K\do\_\do\^^A\do\~}
527 \newdimen\oldbaselineskip
528 \def\listing{\par\noindent\oldbaselineskip=\baselineskip \footnotesize%
529 \trivlist \item[]\if@minipage\else\vskip\parskip\fi
530 \leftskip\@totalleftmargin\rightskip\z@
531 \parindent\z@\parfillskip\@flushglue\parskip\z@
532 \@tempswafalse \def\par{\if@tempswa\hbox{}\fi\@tempswatrue\@@par}
533 \obeylines \tt \catcode``=13 \@noligs \let\do\@makeother \docspecials
534 \frenchspacing\@vobeyspaces}
536 \def\endlisting{\endtrivlist\baselineskip=\oldbaselineskip}
538 %Add ttbox to Springer's macros!! - LCP
539 \newenvironment{ttbox}{\par\nobreak\vskip-2pt%
540 \vbox\bgroup\begin{listing}\leftskip\leftmargini}%
541 {\end{listing}\egroup\vskip-7pt\@endparenv}
542 \newcommand\ttbreak{\end{ttbox}\goodbreak\vskip-8pt plus 3pt\begin{ttbox}}
544 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
546 % Acknowledgements ( = acknow.tex)
548 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
550 \def\ack#1{\vskip11pt\begingroup\noindent{\it Acknowledgements\/}.
551 \ignorespaces#1\vskip6pt\endgroup}
554 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
556 % Definition of versal greek letters ( = ucgreek.tex)
558 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
560 \mathchardef\Gamma="0100
561 \mathchardef\Delta="0101
562 \mathchardef\Theta="0102
563 \mathchardef\Lambda="0103
564 \mathchardef\Xi="0104
565 \mathchardef\Pi="0105
566 \mathchardef\Sigma="0106
567 \mathchardef\Upsilon="0107
568 \mathchardef\Phi="0108
569 \mathchardef\Psi="0109
570 \mathchardef\Omega="010A
573 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
575 % Vectors ( = vector.tex)
577 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
580 % it redefines the plain TeX \vec command
581 % to produce bold characters
584 \mathchoice{\mbox{\boldmath$\displaystyle\bf#1$}}
585 {\mbox{\boldmath$\textstyle\bf#1$}}
586 {\mbox{\boldmath$\scriptstyle\bf#1$}}
587 {\mbox{\boldmath$\scriptscriptstyle\bf#1$}}\else
588 {\mbox{\boldmath$\bf#1$}}\fi}
590 %\def\vec#1{{\textfont0=\tenbf\scriptfont0=\sevenbf
591 %\scriptscriptfont0=\fivebf
592 %\textfont1=\tenbf\scriptfont1=\sevenbf
593 %\scriptscriptfont1=\fivebf
594 %\ifmmode % supply all varieties of math sizes
595 % \mathchoice{\hbox{$\displaystyle#1$}}{\hbox{$\textstyle#1$}}
596 % {\hbox{$\scriptstyle#1$}}{\hbox{$\scriptscriptstyle#1$}}
597 %\else\hbox{$#1$}\fi}}
599 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
601 % Symbols ( = symbols.tex )
603 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
605 % This is symbols.tex
606 % the symbols not available in plain TeX are constructed
607 % by overprinting some characters
609 \def\sun{{\hbox{$\odot$}}}
610 \def\la{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil
611 $\displaystyle##$\hfil\cr<\cr\noalign{\vskip1.5pt}\sim\cr}}}
612 {\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr<\cr
613 \noalign{\vskip1.0pt}\sim\cr}}}
614 {\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr<\cr
615 \noalign{\vskip0.5pt}\sim\cr}}}
616 {\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil
617 \cr<\cr\noalign{\vskip0.5pt}\sim\cr}}}}}
618 \def\ga{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil
619 $\displaystyle##$\hfil\cr>\cr\noalign{\vskip1.5pt}\sim\cr}}}
620 {\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr>\cr
621 \noalign{\vskip1.0pt}\sim\cr}}}
622 {\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr>\cr
623 \noalign{\vskip0.5pt}\sim\cr}}}
624 {\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil
625 \cr>\cr\noalign{\vskip0.5pt}\sim\cr}}}}}
626 \def\sq{\hbox{\rlap{$\sqcap$}$\sqcup$}}
627 \def\degr{\hbox{$^\circ$}}
628 \def\arcmin{\hbox{$^\prime$}}
629 \def\arcsec{\hbox{$^{\prime\prime}$}}
630 \def\utw{\smash{\rlap{\lower5pt\hbox{$\sim$}}}}
631 \def\udtw{\smash{\rlap{\lower6pt\hbox{$\approx$}}}}
632 \def\fd{\hbox{$.\!\!^{\rm d}$}}
633 \def\fh{\hbox{$.\!\!^{\rm h}$}}
634 \def\fm{\hbox{$.\!\!^{\rm m}$}}
635 \def\fs{\hbox{$.\!\!^{\rm s}$}}
636 \def\fdg{\hbox{$.\!\!^\circ$}}
637 \def\farcm{\hbox{$.\mkern-4mu^\prime$}}
638 \def\farcs{\hbox{$.\!\!^{\prime\prime}$}}
639 \def\fp{\hbox{$.\!\!^{\scriptscriptstyle\rm p}$}}
640 \def\getsto{\mathrel{\mathchoice {\vcenter{\offinterlineskip
641 \halign{\hfil$\displaystyle##$\hfil\cr\gets\cr\to\cr}}}
642 {\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr
644 {\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr
646 {\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr
648 \def\cor{\mathrel{\mathchoice {\hbox{$\widehat=$}}{\hbox{$\widehat=$}}
649 {\hbox{$\scriptstyle\hat=$}}
650 {\hbox{$\scriptscriptstyle\hat=$}}}}
651 \def\grole{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil
652 $\displaystyle##$\hfil\cr>\cr\noalign{\vskip-1.5pt}<\cr}}}
653 {\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr
654 >\cr\noalign{\vskip-1.5pt}<\cr}}}
655 {\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr
656 >\cr\noalign{\vskip-1pt}<\cr}}}
657 {\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr
658 >\cr\noalign{\vskip-0.5pt}<\cr}}}}}
659 \def\lid{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil
660 $\displaystyle##$\hfil\cr<\cr\noalign{\vskip1.5pt}=\cr}}}
661 {\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr<\cr
662 \noalign{\vskip1pt}=\cr}}}
663 {\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr<\cr
664 \noalign{\vskip0.5pt}=\cr}}}
665 {\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr
666 <\cr\noalign{\vskip0.5pt}=\cr}}}}}
667 \def\gid{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil
668 $\displaystyle##$\hfil\cr>\cr\noalign{\vskip1.5pt}=\cr}}}
669 {\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr>\cr
670 \noalign{\vskip1pt}=\cr}}}
671 {\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr>\cr
672 \noalign{\vskip0.5pt}=\cr}}}
673 {\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr
674 >\cr\noalign{\vskip0.5pt}=\cr}}}}}
675 \def\sol{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil
676 $\displaystyle##$\hfil\cr\sim\cr\noalign{\vskip-0.2mm}<\cr}}}
677 {\vcenter{\offinterlineskip
678 \halign{\hfil$\textstyle##$\hfil\cr\sim\cr<\cr}}}
679 {\vcenter{\offinterlineskip
680 \halign{\hfil$\scriptstyle##$\hfil\cr\sim\cr<\cr}}}
681 {\vcenter{\offinterlineskip
682 \halign{\hfil$\scriptscriptstyle##$\hfil\cr\sim\cr<\cr}}}}}
683 \def\sog{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil
684 $\displaystyle##$\hfil\cr\sim\cr\noalign{\vskip-0.2mm}>\cr}}}
685 {\vcenter{\offinterlineskip
686 \halign{\hfil$\textstyle##$\hfil\cr\sim\cr>\cr}}}
687 {\vcenter{\offinterlineskip
688 \halign{\hfil$\scriptstyle##$\hfil\cr\sim\cr>\cr}}}
689 {\vcenter{\offinterlineskip
690 \halign{\hfil$\scriptscriptstyle##$\hfil\cr\sim\cr>\cr}}}}}
691 \def\lse{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil
692 $\displaystyle##$\hfil\cr<\cr\noalign{\vskip1.5pt}\simeq\cr}}}
693 {\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr<\cr
694 \noalign{\vskip1pt}\simeq\cr}}}
695 {\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr<\cr
696 \noalign{\vskip0.5pt}\simeq\cr}}}
697 {\vcenter{\offinterlineskip
698 \halign{\hfil$\scriptscriptstyle##$\hfil\cr<\cr
699 \noalign{\vskip0.5pt}\simeq\cr}}}}}
700 \def\gse{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil
701 $\displaystyle##$\hfil\cr>\cr\noalign{\vskip1.5pt}\simeq\cr}}}
702 {\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr>\cr
703 \noalign{\vskip1.0pt}\simeq\cr}}}
704 {\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr>\cr
705 \noalign{\vskip0.5pt}\simeq\cr}}}
706 {\vcenter{\offinterlineskip
707 \halign{\hfil$\scriptscriptstyle##$\hfil\cr>\cr
708 \noalign{\vskip0.5pt}\simeq\cr}}}}}
709 \def\grole{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil
710 $\displaystyle##$\hfil\cr>\cr\noalign{\vskip-1.5pt}<\cr}}}
711 {\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr
712 >\cr\noalign{\vskip-1.5pt}<\cr}}}
713 {\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr
714 >\cr\noalign{\vskip-1pt}<\cr}}}
715 {\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr
716 >\cr\noalign{\vskip-0.5pt}<\cr}}}}}
717 \def\leogr{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil
718 $\displaystyle##$\hfil\cr<\cr\noalign{\vskip-1.5pt}>\cr}}}
719 {\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr
720 <\cr\noalign{\vskip-1.5pt}>\cr}}}
721 {\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr
722 <\cr\noalign{\vskip-1pt}>\cr}}}
723 {\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr
724 <\cr\noalign{\vskip-0.5pt}>\cr}}}}}
725 \def\loa{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil
726 $\displaystyle##$\hfil\cr<\cr\noalign{\vskip1.5pt}\approx\cr}}}
727 {\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr<\cr
728 \noalign{\vskip1.0pt}\approx\cr}}}
729 {\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr<\cr
730 \noalign{\vskip0.5pt}\approx\cr}}}
731 {\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr
732 <\cr\noalign{\vskip0.5pt}\approx\cr}}}}}
733 \def\goa{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil
734 $\displaystyle##$\hfil\cr>\cr\noalign{\vskip1.5pt}\approx\cr}}}
735 {\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr>\cr
736 \noalign{\vskip1.0pt}\approx\cr}}}
737 {\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr>\cr
738 \noalign{\vskip0.5pt}\approx\cr}}}
739 {\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr
740 >\cr\noalign{\vskip0.5pt}\approx\cr}}}}}
741 \def\bbbr{{\rm I\!R}} %reelle Zahlen
742 \def\bbbn{{\rm I\!N}} %natuerliche Zahlen
743 \def\bbbm{{\rm I\!M}}
744 \def\bbbh{{\rm I\!H}}
745 \def\bbbf{{\rm I\!F}}
746 \def\bbbk{{\rm I\!K}}
747 \def\bbbp{{\rm I\!P}}
748 \def\bbbone{{\mathchoice {\rm 1\mskip-4mu l} {\rm 1\mskip-4mu l}
749 {\rm 1\mskip-4.5mu l} {\rm 1\mskip-5mu l}}}
750 \def\bbbc{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm C$}\hbox{\hbox
751 to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}
752 {\setbox0=\hbox{$\textstyle\rm C$}\hbox{\hbox
753 to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}
754 {\setbox0=\hbox{$\scriptstyle\rm C$}\hbox{\hbox
755 to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}
756 {\setbox0=\hbox{$\scriptscriptstyle\rm C$}\hbox{\hbox
757 to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}}}
758 \def\bbbe{{\mathchoice {\setbox0=\hbox{\smalletextfont e}\hbox{\raise
759 0.1\ht0\hbox to0pt{\kern0.4\wd0\vrule width0.3pt
760 height0.7\ht0\hss}\box0}}
761 {\setbox0=\hbox{\smalletextfont e}\hbox{\raise
762 0.1\ht0\hbox to0pt{\kern0.4\wd0\vrule width0.3pt
763 height0.7\ht0\hss}\box0}}
764 {\setbox0=\hbox{\smallescriptfont e}\hbox{\raise
765 0.1\ht0\hbox to0pt{\kern0.5\wd0\vrule width0.2pt
766 height0.7\ht0\hss}\box0}}
767 {\setbox0=\hbox{\smallescriptscriptfont e}\hbox{\raise
768 0.1\ht0\hbox to0pt{\kern0.4\wd0\vrule width0.2pt
769 height0.7\ht0\hss}\box0}}}}
770 \def\bbbq{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm Q$}\hbox{\raise
771 0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}}
772 {\setbox0=\hbox{$\textstyle\rm Q$}\hbox{\raise
773 0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}}
774 {\setbox0=\hbox{$\scriptstyle\rm Q$}\hbox{\raise
775 0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}}
776 {\setbox0=\hbox{$\scriptscriptstyle\rm Q$}\hbox{\raise
777 0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}}}}
778 \def\bbbt{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm
779 T$}\hbox{\hbox to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}
780 {\setbox0=\hbox{$\textstyle\rm T$}\hbox{\hbox
781 to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}
782 {\setbox0=\hbox{$\scriptstyle\rm T$}\hbox{\hbox
783 to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}
784 {\setbox0=\hbox{$\scriptscriptstyle\rm T$}\hbox{\hbox
785 to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}}}
786 \def\bbbs{{\mathchoice
787 {\setbox0=\hbox{$\displaystyle \rm S$}\hbox{\raise0.5\ht0\hbox
788 to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hbox
789 to0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}}
790 {\setbox0=\hbox{$\textstyle \rm S$}\hbox{\raise0.5\ht0\hbox
791 to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hbox
792 to0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}}
793 {\setbox0=\hbox{$\scriptstyle \rm S$}\hbox{\raise0.5\ht0\hbox
794 to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hbox
795 to0pt{\kern0.5\wd0\vrule height0.45\ht0\hss}\box0}}
796 {\setbox0=\hbox{$\scriptscriptstyle\rm S$}\hbox{\raise0.5\ht0\hbox
797 to0pt{\kern0.4\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hbox
798 to0pt{\kern0.55\wd0\vrule height0.45\ht0\hss}\box0}}}}
801 % note: changed \sans to \sf for LaTeX
804 \def\bbbz{{\mathchoice {\hbox{$\sf\textstyle Z\kern-0.4em Z$}}
805 {\hbox{$\sf\textstyle Z\kern-0.4em Z$}}
806 {\hbox{$\sf\scriptstyle Z\kern-0.3em Z$}}
807 {\hbox{$\sf\scriptscriptstyle Z\kern-0.2em Z$}}}}
809 \def\diameter{{\ifmmode\oslash\else$\oslash$\fi}}
812 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
814 % petit (substitute for petit.tex)
816 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
819 \newenvironment{petit}{\vskip6pt\begingroup\small}{\endgroup\vskip6pt}
822 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
826 % lemma, proposition, theorem, corollary (\bf,\it) (numbered)
827 % exercise, problem, solution, definition (\bf,\rm)
828 % 27.3.91 binding: example, note and question changed to (\bf, \rm)
830 % lemma*, proposition*, theorem*, corollary* (\bf,\it) (unnumbered)
831 % exercise*, problem*, solution*, definition* (\bf,\rm)
832 % example*, note*, question* (\it,\rm)
834 % remark, proof (\it,\rm) (unnumbered)
836 % usage: \begin{lemma} or \begin{lemma}[COMMENT]
838 % \end{lemma} \end{lemma}
841 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
843 % currently one counter is used for all theorem like environments
845 \newcounter{lemmacount}[chapter]
846 \renewcommand{\thelemmacount}{\thechapter.\arabic{lemmacount}}
850 % short form for defininng new theorem like environments:
851 % \newthe{NAME}{NAME*}{TITLE}{COUNTER}{FONT1}{FONT2}
853 \def\@@begthe#1{\@ifnextchar[{\@optbegthe#1}{\@begthe#1}}
854 %27.3.91 binding: dot deleted
855 %def\@begthe#1{. #1} old
857 \def\@optbegthe#1[#2]{ {#2} #1}
858 \newcommand{\newthe}[6]{
859 \def\nlni{\par\ifvmode\removelastskip\fi\vskip\baselineskip\noindent}
860 \def\xxxend{\endgroup\vskip\baselineskip}
861 \newenvironment{#1}{\nlni\begingroup\refstepcounter{#4}#5#3
862 %changed 91/10/7 fuh:\arabic{chapter}.\arabic{#4}\@@begthe{#6}}{\xxxend}
863 \thechapter.\arabic{#4}\@@begthe{#6}}{\xxxend}
864 \newenvironment{#2}{\nlni\begingroup#5#3\@@begthe{#6}}{\xxxend}}
867 % Lemma, Proposition, Theorem, Corollary (\bf,\it)
869 \newthe{lemma}{lemma*}{Lemma}{lemmacount}{\bf}{\it}
870 \newthe{proposition}{proposition*}{Proposition}{lemmacount}{\bf}{\it}
871 \newthe{theorem}{theorem*}{Theorem}{lemmacount}{\bf}{\it}
872 \newthe{corollary}{corollary*}{Corollary}{lemmacount}{\bf}{\it}
875 % Exercise, Problem, Solution, Definition (\bf,\rm)
877 \newthe{exercise}{exercise*}{exercise}{lemmacount}{\bf}{\it}
878 \newthe{problem}{problem*}{Problem}{lemmacount}{\bf}{\it}
879 \newthe{solution}{solution*}{Solution}{lemmacount}{\bf}{\it}
880 \newthe{definition}{definition*}{Definition}{lemmacount}{\bf}{\it}
883 % Example, Note, Question (\bf,\rm)
885 \newthe{example}{example*}{Example}{lemmacount}{\bf}{\rm}
886 \newthe{note}{note*}{Note}{lemmacount}{\bf}{\rm}
887 \newthe{question}{question*}{Question}{lemmacount}{\bf}{\rm}
892 \newenvironment{remark}{\nlni\begingroup\it Remark. \rm}{
893 \endgroup\vskip\baselineskip}
894 \newenvironment{proof}{\nlni\begingroup\it Proof. \rm}{
895 \endgroup\vskip\baselineskip}
899 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
903 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
905 \def\qed{\ifmmode\sq\else{\unskip\nobreak\hfil
906 \penalty50\hskip1em\null\nobreak\hfil\sq
907 \parfillskip=0pt\finalhyphendemerits=0\endgraf}\fi}
910 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
912 % \eqnarticle simple equation numbers without chapter number
913 % \eqnbook structured equation numbers (default)
914 % changed by binding 5.2.91: changed to \numberlikearticle and
915 % \numberlikebook, changing numbering of
916 % figures and tables also.
917 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
919 \def\numberlikearticle{\global\def\theequation{\arabic{equation}}
920 \global\def\thetable{\arabic{table}}
921 \global\def\thefigure{\arabic{figure}}}
922 \def\numberlikebook{\global\def\theequation{\thechapter.\arabic{equation}}
923 \global\def\thetable{\thechapter.\arabic{table}}
924 \global\def\thefigure{\thechapter.\arabic{figure}}}
927 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
929 % Redeclaration of \makeatletter; no @-expressions may be used from now on
931 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
938 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
940 % End of MATHSING.STY
942 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%