diff options
Diffstat (limited to 'macros/inrstex/inrsdoc/thmatsym.tex')
-rw-r--r-- | macros/inrstex/inrsdoc/thmatsym.tex | 419 |
1 files changed, 0 insertions, 419 deletions
diff --git a/macros/inrstex/inrsdoc/thmatsym.tex b/macros/inrstex/inrsdoc/thmatsym.tex deleted file mode 100644 index a2e575d2c1..0000000000 --- a/macros/inrstex/inrsdoc/thmatsym.tex +++ /dev/null @@ -1,419 +0,0 @@ -%-*-tex-*- -\ifundefined{writestatus} \input status \relax \fi % -\chcode{matsym} - - -\def\cqu{\cquote{{\leftskip=0ptplus1fill\def\\% -{\endgraf}Yet what are all such gaieties to me\\Whose thoughts are full of -indices and surds?\\$x^2+7x+53$\\ $\displaystyle={11\over3}$.\\ }}{ -Four~Riddles, Lewis~Carroll (1832-1898)}} - - -\chapterhead{matsym}{MATHEMATICS:\cr SYMBOLS\cr FONTS} -\tex\ supplies a vast array of mathematical symbols, both in fixed and -extensible forms. For the most part, the symbols mentioned are available only -in mathematics mode. Other symbols that are useful in -regular text mode have been listed in Section \ref{specialtextsymbols} -This chapter describes the symbols available. These -symbols can be used in any font size that is on the system. Although it is -possible to build your own symbols from simpler ones, it takes a little care -to make sure that they are the correct size for all possible uses. - -\shead{mathfonts}{Ordinary Fonts in Mathematics} -The mathematics symbol font contains characters that are very similar to -to text italic font. The major difference is the spacing. {\it For instance} is -in ordinary italic but $For\ instance$, is in math italic and was invoked with -|$For\|\]|instance$|, where |\|\] forces the space. -However, it is an easy matter to put -roman or {\bf bold} letters in mathematics by just using -|$x={\bf the\ spot}$| to obtain $x={\bf the\ spot}$. The real fun -comes with something like the following: - -\def\xbf{{\vec{\bf x}}} -$$ \xbf = 2^{\xbf^\xbf} $$ -which is given by -\begintt -\def\xbf{{\vec{\bf x}}} -$$ -\xbf = 2^{\xbf^\xbf} -$$ -\endtt -Note that the bold face is scaled correctly up into the superscripts. The -extra $\{\ldots\}$ are necessary so that the third |\xbf| will look like a -single token to the second |\@|. - -\shead{mathtypes}{Mathematical Symbol Types} -Some symbols, even though they may look the same are given different command -sequences in \tex. The reason for this is that their use demands different -spacing and line breaking when in mathematics mode. -For this reason there are four mathematics symbols for a vertical -bar $\mid$, namely |\mid|, |\left\vert|, |\right\vert|, and |\vert|. The -first is a {\it relation} -- called {\it Rel} -- like the $=$; the second -and third are opening and -closing brackets like ( and ) --- \tex\ calls these {\it openings} and {\it -closings}; and the last is an {\it ordinary} --- called {\it Ord} --- symbol -like $\infty$. Two other types are {\it large operators} --- called {\it Op} ---- like $\sum$ and {\it binary operators} --- called {\it Bin} --- like $+$. -Finally there is the {\it punctuation} --- called {\it Punct} --- like the -period. - -\shead{greekletters}{Greek Letters} -All the Greek letters are of type {\it Ord}. They are all assumed to be in -mathematics mode. - -\bshortcomlist -\@|\alpha {\rm A} A|&$\alpha$ A $A$ \cr -\@|\beta {\rm B} B|&$\beta$ B $B$\cr -\@|\gamma \Gamma {\mit\Gamma}|&$\gamma$ $\Gamma$ ${\mit\Gamma}$ \cr -\@|\delta \Delta {\mit\Delta} |&$\delta$ $\Delta$ ${\mit\Delta}$ \cr -\@|\epsilon {\rm E} E|&$\epsilon$ E $E$ \cr -\@|\varepsilon|&$\varepsilon$\cr -\@|\zeta {\rm Z} Z|&$\zeta$ Z $Z$ \cr -\@|\eta {\rm H} H|&$\eta$ H $H$ \cr -\@|\theta \Theta {\mit\Theta} |&$\theta$ $\Theta$ $\mit\Theta$ \cr -\@|\vartheta|&$\vartheta$ \cr -\@|\iota {\rm I} I|&$\iota$ I $I$ \cr -\@|\kappa {\rm K} K |&$\kappa$ K $K$ \cr -\@|\lambda \Lambda {\mit\Lambda} |&$\lambda$ $\Lambda$ $\mit\Lambda$ \cr -\@|\mu {\rm M} M |&$\mu$ M $M$ \cr -\@|\nu {\rm N} N|&$\nu$ N $N$ \cr -\@|\xi \Xi {\mit\Xi} |&$\xi$ $\Xi$ $\mit\Xi$ \cr - |o {\rm O} O|&$o$ O $O$ \cr -\@|\pi \Pi {\mit\Pi}|&$\pi$ $\Pi$ $\mit\Pi$ \cr -\@|\varpi|&$\varpi$\cr -\@|\rho {\rm R} R|&$\rho$ R $R$\cr -\@|\sigma \Sigma {\mit\Sigma}|&$\sigma$ $\Sigma$ $\mit\Sigma$ \cr -\@|\tau {\rm T} T|&$\tau$ T $T$ \cr -\@|\upsilon \Upsilon {\mit\Upsilon}|&$\upsilon$ $\Upsilon$ $\mit\Upsilon$ \cr -\@|\phi \Phi {\mit\Phi}|&$\phi$ $\Phi$ $\mit\Phi$ \cr -\@|\varphi|&$\varphi$ \cr -\@|\chi {\rm X} X|&$\chi$ X $X$ \cr -\@|\psi \Psi {\mit\Psi}|&$\psi$ $\Psi$ $\mit\Psi$\cr -\@|\omega \Omega {\mit\Omega}|&$\omega$ $\Omega$ $\mit\Omega$\cr -\eshortcomlist - -\shead{caligraphic}{Calligraphic Capitals} -These look like ${\cal A} \ldots{\cal Z}$ and are obtained in math mode by -the construction |{\cal <capital letter>}| while in math -mode. - -\shead{opsrels}{Ords, Operators, and Relations} -The following is a composite list of the symbols of -type ordinary, relation and operator supplied by -{\it plain}. The type is specified along with the symbol. The meaning of the -type abbreviations has been given in Section \ref{mathtypes}. -\medbreak -\beginmulticolumnformat -\hfuzz=20pt -\parindent=0pt -\def\bin{\leavevmode\hbox to 30pt{\it Bin\hss}} -\def\ord{\leavevmode\hbox to 30pt{\it Ord\hss}} -\def\rel{\leavevmode\hbox to 30pt{\it Rel\hss}} -\def\op{\leavevmode\hbox to 30pt{\it Op\hss}} -\intercolumnsep = {\hskip 3em} -\numberofcolumns = 2 -\obeylines -\bin\hbox to 20pt{$+$\quad\hss}\@|+| -\bin\hbox to 20pt{$-$\quad\hss}\@|-| -\rel\hbox to 20pt{$=$\quad\hss}\@|=| -\rel\hbox to 20pt{$\not=$\quad\hss}\@|\not=| |\ne| |\neq| -\rel\hbox to 20pt{$<$\quad\hss}\@|<| -\rel\hbox to 20pt{$\not<$\quad\hss}\@|\not<| -\rel\hbox to 20pt{$>$\quad\hss}\@|>| -\rel\hbox to 20pt{$\not>$\quad\hss}\@|\not>| -\ord\hbox to 20pt{$\aleph$\quad\hss}\@|\aleph| -\ord\hbox to 20pt{$\amalg$\quad\hss}\@|\amalg| -\ord\hbox to 20pt{$\angle$\quad\hss}\@|\angle| -\rel\hbox to 20pt{$\approx$\quad\hss}\@|\approx| -\rel\hbox to 20pt{$\not\approx$\quad\hss}\@|\not\approx| -\bin\hbox to 20pt{$\ast$\quad\hss}\@|\ast| or * -\rel\hbox to 20pt{$\asymp$\quad\hss}\@|\asymp| -\ord\hbox to 20pt{$\backslash$\quad\hss}\@|\backslash| -\op\hbox to 20pt{$\bigcap$\quad\hss}\@|\bigcap| -\bin\hbox to 20pt{$\bigcirc$\quad\hss}\@|\bigcirc| -\op\hbox to 20pt{$\bigcup$\quad\hss}\@|\bigcup| -\op\hbox to 20pt{$\bigodot$\quad\hss}\@|\bigodot| -\op\hbox to 20pt{$\bigoplus$\quad\hss}\@|\bigoplus| -\op\hbox to 20pt{$\bigotimes$\quad\hss}\@|\bigotimes| -\op\hbox to 20pt{$\bigsqcup$\quad\hss}\@|\bigsqcup| -\bin\hbox to 20pt{$\bigtriangledown$\quad\hss}\@|\bigtriangledown| -\bin\hbox to 20pt{$\bigtriangleup$\quad\hss}\@|\bigtriangleup| -\op\hbox to 20pt{$\biguplus$\quad\hss}\@|\biguplus| -\op\hbox to 20pt{$\bigvee$\quad\hss}\@|\bigvee| -\op\hbox to 20pt{$\bigwedge$\quad\hss}\@|\bigwedge| -\ord\hbox to 20pt{$\bot$\quad\hss}\@|\bot| -\rel\hbox to 20pt{$\bowtie$\quad\hss}\@|\bowtie| -\bin\hbox to 20pt{$\bullet$\quad\hss}\@|\bullet| -\bin\hbox to 20pt{$\cap$\quad\hss}\@|\cap| -\bin\hbox to 20pt{$\cdot$\quad\hss}\@|\cdot| -\bin\hbox to 20pt{$\circ$\quad\hss}\@|\circ| -\ord\hbox to 20pt{$\clubsuit$\quad\hss}\@|\clubsuit| -\rel\hbox to 20pt{$\cong$\quad\hss}\@|\cong| -\rel\hbox to 20pt{$\not\cong$\quad\hss}\@|\not\cong| -\op\hbox to 20pt{$\coprod$\quad\hss}\@|\coprod| -\bin\hbox to 20pt{$\cup$\quad\hss}\@|\cup| -\bin\hbox to 20pt{$\dagger$\quad\hss}\@|\dagger| -\rel\hbox to 20pt{$\dashv$\quad\hss}\@|\dashv| -\bin\hbox to 20pt{$\ddagger$\quad\hss}\@|\ddagger| -\ord\hbox to 20pt{$\diamondsuit$\quad\hss}\@|\diamondsuit| -\balancecolumnsize = 470pt -\bin\hbox to 20pt{$\diamond$\quad\hss}\@|\diamond| -\bin\hbox to 20pt{$\div$\quad\hss}\@|\div| -\rel\hbox to 20pt{$\doteq$\quad\hss}\@|\doteq| -\rel\hbox to 20pt{$\Downarrow$\quad\hss}\@|\Downarrow| -\rel\hbox to 20pt{$\downarrow$\quad\hss}\@|\downarrow| -\ord\hbox to 20pt{$\ell$\quad\hss}\@|\ell| -\ord\hbox to 20pt{$\emptyset$\quad\hss}\@|\emptyset| -\rel\hbox to 20pt{$\equiv$\quad\hss}\@|\equiv| -\rel\hbox to 20pt{$\not\equiv$\quad\hss}\@|\not\equiv| -\ord\hbox to 20pt{$\exists$\quad\hss}\@|\exists| -\ord\hbox to 20pt{$\flat$\quad\hss}\@|\flat| -\ord\hbox to 20pt{$\forall$\quad\hss}\@|\forall| -\ord\hbox to 20pt{$\frown$\quad\hss}\@|\frown| -\rel\hbox to 20pt{$\geq$\quad\hss}\@|\ge| \@|\geq| -\rel\hbox to 20pt{$\not\geq$\quad\hss}\@|\not\geq| -\rel\hbox to 20pt{$\gg$\quad\hss}\@|\gg| -\rel\hbox to 20pt{$\not\gg$\quad\hss}\@|\not\gg| -\ord\hbox to 20pt{$\hbar$\quad\hss}\@|\hbar| -\ord\hbox to 20pt{$\heartsuit$\quad\hss}\@|\heartsuit| -\rel\hbox to 20pt{$\hookleftarrow$\quad\hss}\@|\hookleftarrow| -\rel\hbox to 20pt{$\hookrightarrow$\quad\hss}\@|\hookrightarrow| -\ord\hbox to 20pt{$\Im$\quad\hss}\@|\Im| -\ord\hbox to 20pt{$\imath$\quad\hss}\@|\imath| -\ord\hbox to 20pt{$\infty$\quad\hss}\@|\infty| -\op\hbox to 20pt{$\int$\quad\hss}\@|\int| -\rel\hbox to 20pt{$\in$\quad\hss}\@|\in| -\rel\hbox to 20pt{$\not\in$\quad\hss}\@|\not\in| -\ord\hbox to 20pt{$\jmath$\quad\hss}\@|\jmath| -\rel\hbox to 20pt{$\Leftarrow$\quad\hss}\@|\Leftarrow| -\rel\hbox to 20pt{$\leftarrow$\quad\hss}\@|\leftarrow| -\rel\hbox to 20pt{$\leftharpoondown$\quad\hss}\@|\leftharpoondown| -\rel\hbox to 20pt{$\leftharpoonup$\quad\hss}\@|\leftharpoonup| -\rel\hbox to 20pt{$\Leftrightarrow$\quad\hss}\@|\Leftrightarrow| -\rel\hbox to 20pt{$\leftrightarrow$\quad\hss}\@|\leftrightarrow| -\rel\hbox to 20pt{$\leq$\quad\hss}\@|\le| \@|\leq| -\rel\hbox to 20pt{$\not\leq$\quad\hss}\@|\not\leq| -\rel\hbox to 20pt{$\ll$\quad\hss}\@|\ll| -\rel\hbox to 20pt{$\not\ll$\quad\hss}\@|\not\ll| -\rel\hbox to 20pt{$\Longleftarrow$\quad\hss}\@|\Longleftarrow| -\rel\hbox to 20pt{$\longleftarrow$\quad\hss}\@|\longleftarrow| -\rel\hbox to 20pt{$\Longleftrightarrow$\quad\hss}\@|\Longleftrightarrow| -\rel\hbox to 20pt{$\longleftrightarrow$\quad\hss}\@|\longleftrightarrow| -\rel\hbox to 20pt{$\longmapsto$\quad\hss}\@|\longmapsto| -\rel\hbox to 20pt{$\Longrightarrow$\quad\hss}\@|\Longrightarrow| -\rel\hbox to 20pt{$\longrightarrow$\quad\hss}\@|\longrightarrow| -\rel\hbox to 20pt{$\mapsto$\quad\hss}\@|\mapsto| -\rel\hbox to 20pt{$\mid$\quad\hss}\@|\mid| -\rel\hbox to 20pt{$\models$\quad\hss}\@|\models| -\bin\hbox to 20pt{$\mp$\quad\hss}\@|\mp| -\ord\hbox to 20pt{$\nabla$\quad\hss}\@|\nabla| -\ord\hbox to 20pt{$\natural$\quad\hss}\@|\natural| -\rel\hbox to 20pt{$\nearrow$\quad\hss}\@|\nearrow| -\rel\hbox to 20pt{$\nwarrow$\quad\hss}\@|\nwarrow| -\ord\hbox to 20pt{$\neg$\quad\hss}\@|\neg| \@|\lnot| -\rel\hbox to 20pt{$\ni$\quad\hss}\@|\ni| \@|\owns| -\bin\hbox to 20pt{$\odot$\quad\hss}\@|\odot| -\op\hbox to 20pt{$\oint$\quad\hss}\@|\oint| -\bin\hbox to 20pt{$\ominus$\quad\hss}\@|\ominus| -\bin\hbox to 20pt{$\oplus$\quad\hss}\@|\oplus| -\bin\hbox to 20pt{$\oslash$\quad\hss}\@|\oslash| -\bin\hbox to 20pt{$\otimes$\quad\hss}\@|\otimes| -\rel\hbox to 20pt{$\parallel$\quad\hss}\@|\parallel| -\ord\hbox to 20pt{$\partial$\quad\hss}\@|\partial| -\bin\hbox to 20pt{$\perp$\quad\hss}\@|\perp| -\bin\hbox to 20pt{$\pm$\quad\hss}\@|\pm| -\rel\hbox to 20pt{$\preceq$\quad\hss}\@|\preceq| -\rel\hbox to 20pt{$\not\preceq$\quad\hss}\@|\not\preceq| -\rel\hbox to 20pt{$\prec$\quad\hss}\@|\prec| -\rel\hbox to 20pt{$\not\prec$\quad\hss}\@|\not\prec| -\ord\hbox to 20pt{$\prime$\quad\hss}\@|\prime| -\op\hbox to 20pt{$\prod$\quad\hss}\@|\prod| -\rel\hbox to 20pt{$\propto$\quad\hss}\@|\propto| -\ord\hbox to 20pt{$\Re$\quad\hss}\@|\Re| -\rel\hbox to 20pt{$\Rightarrow$\quad\hss}\@|\Rightarrow| -\rel\hbox to 20pt{$\rightarrow$\quad\hss}\@|\rightarrow| -\rel\hbox to 20pt{$\rightharpoondown$\quad\hss}\@|\rightharpoondown| -\rel\hbox to 20pt{$\rightharpoonup$\quad\hss}\@|\rightharpoonup| -\rel\hbox to 20pt{$\rightleftharpoons$\quad\hss}\@|\rightleftharpoons| -\bin\hbox to 20pt{$\setminus$\quad\hss}\@|\setminus| -\ord\hbox to 20pt{$\sharp$\quad\hss}\@|\sharp| -\rel\hbox to 20pt{$\simeq$\quad\hss}\@|\simeq| -\rel\hbox to 20pt{$\not\simeq$\quad\hss}\@|\not\simeq| -\rel\hbox to 20pt{$\sim$\quad\hss}\@|\sim| -\rel\hbox to 20pt{$\not\sim$\quad\hss}\@|\not\sim| -\rel\hbox to 20pt{$\smile$\quad\hss}\@|\smile| -\ord\hbox to 20pt{$\spadesuit$\quad\hss}\@|\spadesuit| -\bin\hbox to 20pt{$\sqcap$\quad\hss}\@|\sqcap| -\bin\hbox to 20pt{$\sqcup$\quad\hss}\@|\sqcup| -\rel\hbox to 20pt{$\sqsubseteq$\quad\hss}\@|\sqsubseteq| -\rel\hbox to 20pt{$\not\sqsubseteq$\quad\hss}\@|\not\sqsubseteq| -\rel\hbox to 20pt{$\sqsupseteq$\quad\hss}\@|\sqsupseteq| -\rel\hbox to 20pt{$\not\sqsupseteq$\quad\hss}\@|\not\sqsupseteq| -\ord\hbox to 20pt{$\star$\quad\hss}\@|\star| -\rel\hbox to 20pt{$\subseteq$\quad\hss}\@|\subseteq| -\rel\hbox to 20pt{$\not\subseteq$\quad\hss}\@|\not\subseteq| -\rel\hbox to 20pt{$\subset$\quad\hss}\@|\subset| -\rel\hbox to 20pt{$\not\subset$\quad\hss}\@|\not\subset| -\rel\hbox to 20pt{$\succeq$\quad\hss}\@|\succeq| -\rel\hbox to 20pt{$\not\succeq$\quad\hss}\@|\not\succeq| -\rel\hbox to 20pt{$\succ$\quad\hss}\@|\succ| -\rel\hbox to 20pt{$\not\succ$\quad\hss}\@|\not\succ| -\op\hbox to 20pt{$\sum$\quad\hss}\@|\sum| -\rel\hbox to 20pt{$\supseteq$\quad\hss}\@|\supseteq| -\rel\hbox to 20pt{$\not\supseteq$\quad\hss}\@|\not\supseteq| -\rel\hbox to 20pt{$\supset$\quad\hss}\@|\supset| -\rel\hbox to 20pt{$\not\supset$\quad\hss}\@|\not\supset| -\ord\hbox to 20pt{$\surd$\quad\hss}\@|\surd| -\rel\hbox to 20pt{$\searrow$\quad\hss}\@|\searrow| -\rel\hbox to 20pt{$\swarrow$\quad\hss}\@|\swarrow| -\bin\hbox to 20pt{$\times$\quad\hss}\@|\times| -\bin\hbox to 20pt{$\top$\quad\hss}\@|\top| -\bin\hbox to 20pt{$\triangleleft$\quad\hss}\@|\triangleleft| -\bin\hbox to 20pt{$\triangleright$\quad\hss}\@|\triangleright| -\ord\hbox to 20pt{$\triangle$\quad\hss}\@|\triangle| -\bin\hbox to 20pt{$\uplus$\quad\hss}\@|\uplus| -\rel\hbox to 20pt{$\Uparrow$\quad\hss}\@|\Uparrow| -\rel\hbox to 20pt{$\uparrow$\quad\hss}\@|\uparrow| -\rel\hbox to 20pt{$\Updownarrow$\quad\hss}\@|\Updownarrow| -\rel\hbox to 20pt{$\updownarrow$\quad\hss}\@|\updownarrow| -\ord\hbox to 20pt{$\Vert$\quad\hss}\@|\Vert| or |\|\vrt -\ord\hbox to 20pt{$\vert$\quad\hss}\@|\vert| or \vrt -\rel\hbox to 20pt{$\vdash$\quad\hss}\@|\vdash| -\bin\hbox to 20pt{$\vee$\quad\hss}\@|\lor| \@|\vee| -\bin\hbox to 20pt{$\wedge$\quad\hss}\@|\land| \@|\wedge| -\ord\hbox to 20pt{$\wp$\quad\hss}\@|\wp| -\bin\hbox to 20pt{$\wr$\quad\hss}\@|\wr| -\endmulticolumnformat - -\shead{delims}{Brackets or Delimiters} -\tex\ supplies a large variety of delimiters or brackets, some of different -sizes and others that grow to be the correct size. Here is a list of the -delimiters supplied by {\it plain}. - -\bshortcomlist -\@|\big\Arrowvert|¢er part of double up arrow -- $\big\Arrowvert$\cr -\@|\big\arrowvert|¢er part of up arrow -- $\big\arrowvert$\cr -\@|\langle|&left angle bracket -- $\langle$\cr -\@|\rangle|&right angle bracket -- $\rangle$\cr -\@|\big\bracevert|¢er part of large braces -- $\big\bracevert$ \cr -|\{| or \@|\lbrace|&left brace -- $\{$\cr -|\}| or \@|\rbrace|&right brace -- $\}$\cr -|[| or \@|\lbrack|&left square bracket -- $[$\cr -|]| or \@|\rbrack|&right square bracket -- $]$\cr -\@|\lceil|&left ceiling -- $\lceil$\cr -\@|\rceil|&right ceiling -- $\rceil$\cr -\@|\lfloor|&left floor -- $\lfloor$\cr -\@|\rfloor|&right floor -- $\rfloor$\cr -\@|\big\lgroup|&large left paren without middle -- $\big\lgroup$\cr -\@|\big\rgroup|&large right paren without middle -- $\big\rgroup$\cr -\@|\big\lmoustache|& -- $\big\lmoustache$\cr -\@|\big\rmoustache|& -- $\big\rmoustache$\cr -|/|&slash -- $/$\cr -\@|\backslash|&reverse slash -- $\backslash$\cr -\vrt\ or |\vert|&vertical bar -- $\vert$\cr -|\|\vrt\ or |\Vert|&double vertical bar -- $\Vert$\cr -|\downarrow|&down arrow -- $\downarrow$\cr -|\Downarrow|&double down arrow -- $\Downarrow$\cr -|\uparrow|&up arrow -- $\uparrow$\cr -|\Uparrow|&double up arrow -- $\Uparrow$\cr -|\updownarrow|&up-and-down arrow -- $\updownarrow$\cr -|\Updownarrow|&double up-and-down arrow -- $\Updownarrow$\cr -|(|&left paren -- $($\cr -|)|&right paren -- $)$\cr -\eshortcomlist - -Two very powerful operators exist for the delimiters, namely |\left| and -|\right|. They must be used in pairs as -\par -\hbox to \hsize{\hss\@|$\left<delimiter> ...\right<delimiter>$|,\hss} -\noindent -where the |<delimiter>| is one of the above. The result -of these operators is a pair of braces that grow the correct size for the -particular formula in which they are used. This saves you from the problem of -measuring. A |\right.| implies there is nothing at the place of the right -delimiter and |\left.| similarly on the left. This allows a delimiter on only -one side of a formula but to still have the operators match in pairs. - -Finally there is a second set of four pairs of operators, \@|\bigl|, |\Bigl|, -\@|\biggl|, \@|\Biggl| and the corresponding right hand ones \@|\bigr|, \@|\Bigr|, -\@|\biggr|, and \@|\Biggr|. These produce big, but fixed size delimiters for instance we have -\begintt -$$ - \bigl\{\quad -\Bigl[\quad -\biggl\lfloor\quad -\Biggl\Updownarrow\quad\Biggr\Updownarrow -\quad\biggr\rfloor -\quad\Bigr] -\quad\bigr\} -$$ -\endtt -produces -$$ - \bigl\{\quad -\Bigl[\quad -\biggl\lfloor\quad -\Biggl\Updownarrow\quad\Biggr\Updownarrow -\quad\biggr\rfloor -\quad\Bigr] -\quad\bigr\} -$$ - -\shead{sincos}{Common Mathematical Functions} -Certain functions such as |sin|, |cos|, and |limsup| for example are shown in -mathematics text in Roman font. In addition some like |lim| sometimes take -limits that should be placed in the same way as the limits on the large -operators ({\it Op}). For example -\begintt -$$ -\limsup_{t \leftrightarrow \infty} -$$ -\endtt -gives -$$ -\limsup_{t \leftrightarrow \infty} -$$ -There are 32 of these already defined in {\it plain}. They are -\beginthreecolumn -\@|\arg| -\@|\arccos| -\@|\arcsin| -\@|\arctan| -\@|\cot| -\@|\coth| -\@|\cosh| -\@|\cos| -\@|\csc| -\@|\det| -\@|\deg| -\@|\dim| -\@|\exp| -\@|\gcd| -\@|\hom| -\@|\inf| -\@|\ker| -\@|\lg| -\@|\liminf| -\@|\limsup| -\@|\lim| -\@|\ln| -\@|\log| -\@|\max| -\@|\min| -\@|\Pr| -\@|\sec| -\@|\sin| -\@|\sinh| -\@|\sup| -\@|\tanh| -\@|\tan| -\endthreecolumn - -\shead{buildown}{Build Your Own Symbols} -There are several advanced facilities in \tex\ for building your own symbols. -However, there is one rather simple form using -\@|\buildrel <superscript> \over <relation>|. For example -|\buildrel \triangle \over =| gives $\buildrel \triangle \over =$. - -\ejectpage -\done |