% This checks out LucidaNewMath math symbols ... % Copyright 2007 TeX Users Group. % You may freely use, modify and/or distribute this file. \input lcdplain.mac % \input stanacce.tex \input accents.tex % %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% $$\widehat{s}, \widehat{ss}, \widehat{sss}, \widehat{ssss}, \widehat{sssss}, % $$ % $$ \widehat{f}, \widehat{ff}, \widehat{fff}, \widehat{ffff}, \widehat{fffff}$$ $$\widetilde{s}, \widetilde{ss}, \widetilde{sss}, \widetilde{ssss}, \widetilde{sssss}, % $$ % $$ \widetilde{f}, \widetilde{ff}, \widetilde{fff}, \widetilde{ffff}, \widetilde{fffff}$$ % %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% $$ \midint f(x) \, dx \quad % \int f(x) \, dx \quad % \big\largeint f(x) \, dx \quad \bigg\largeint f(x) \, dx \quad \Bigg\largeint f(x) \, dx \quad \biggg\largeint f(x) \, dx \quad \Biggg\largeint f(x) \, dx $$ $$ \Biggg\largeint \biggg\largeint \Bigg\largeint \bigg\largeint\! % almost enough backspacing... \midint f(x_1, x_2, x_3, x_4, x_5) \, dx_5\,dx_4\,dx_3\, dx_2\,dx_1$$ % $$ % \Biggg\largeint\, % \biggg\largeint\, % \Bigg\largeint\, % \bigg\largeint % \midint % f(x_1, x_2, x_3, x_4, x_5) \, % dx_5\,dx_4\,dx_3\, dx_2\,dx_1$$ % %%% %%% % $$ % \midint_0^\infty g(\eta)\, d\eta \quad % \bigg\largeint_0^\infty g(\eta)\, d\eta \quad % \Bigg\largeint_0^\infty g(\eta)\, d\eta \quad % \biggg\largeint_0^\infty g(\eta)\, d\eta \quad % \Biggg\largeint_0^\infty g(\eta)\, d\eta $$ $$ \midint_0^\infty g(\eta)\, d\eta \quad \bigg\largeint_{\!\!0}^\infty g(\eta)\, d\eta \quad \Bigg\largeint_{\!\!0}^\infty g(\eta)\, d\eta \quad \biggg\largeint_{\!\!0}^\infty g(\eta)\, d\eta \quad \Biggg\largeint_{\!\!0}^\infty g(\eta)\, d\eta $$ % $$ % \Biggg\largeint_0^\infty % \biggg\largeint_0^\infty % \Bigg\largeint_0^\infty % \bigg\largeint_0^\infty % \midint_0^\infty % f(x_1, x_2, x_3, x_4, x_5) \, % dx_5\,dx_4\,dx_3\, dx_2\,dx_1$$ $$ \Biggg\largeint_{\!\!0}^\infty \biggg\largeint_{\!\!0}^\infty \Bigg\largeint_{\!\!0}^\infty \bigg\largeint_{\!\!0}^\infty\! % almost enough backspacing \midint_0^\infty f(x_1, x_2, x_3, x_4, x_5) \, dx_5\,dx_4\,dx_3\, dx_2\,dx_1$$ % %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% $$\int_0^1f(x)\,dx={\sqrt{3}\over2} \neq {\sqrt{2\pi}\over\sqrt{3}}$$ % %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% $$\sqrt{x}, \sqrt{\pi}, \sqrt{x^2}, \sqrt{{a \over b}}, \sqrt{{a^2+b^2\over a^2 -b^2}}, \sqrt{\sum_{i \neq j}^{n < m}{a^2+b^2\over a^2 -b^2}} $$ $${(x+10y)(x-10y)\over x^2-100y^2} = 1 + {a+{x\over y}+c \over 2 + {5^2\over\epsilon_2}-9}$$ $$30^{\circ}, 60^{\circ}, 90^{\circ}, 120^{\circ}$$ $$\sum_{i=1}^{n} \int_0^x f(x)\,dx = \root n+1\of{a^n+b^n} = {\pi\over 2}$$ $$\overbrace{x+y} = \underbrace{x+y} = x_{n-2}^{i}$$ $$\overline{x+y} = \underline{x+y} = x_n^{-2}$$ % %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% $$\leftarrow, \rightarrow, \leftrightarrow, \longleftarrow, \longrightarrow, \longleftrightarrow, \Leftarrow, \Rightarrow, \Leftrightarrow, \Longleftarrow, \Longrightarrow, \Longleftrightarrow$$ $$\mapsto, \longmapsto, \hookleftarrow, \hookrightarrow$$ $$\leftharpoonup, \leftharpoondown, \rightharpoonup, \rightharpoondown, \rightleftharpoons, \leftrightharpoons$$ $$\uparrow, \downarrow, \updownarrow, \Uparrow, \Downarrow, \Updownarrow, \nearrow, \searrow, \swarrow, \nwarrow, \leadsto$$ % %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% $$\sum, \prod, \coprod, \int, \oint, \bigcap, \bigcup, \bigsqcup, \bigvee, \bigwedge, \bigodot, \bigotimes, \bigoplus, \biguplus$$ \centerline{ $\sum, \prod, \coprod, \int, \oint, \bigcap, \bigcup, \bigsqcup, \bigvee, \bigwedge, \bigodot, \bigotimes, \bigoplus, \biguplus$ } % %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% $$\leq, \prec, \preceq, \ll, \subset, \subseteq, \sqsubset, \in, \vdash$$ $$\geq, \succ, \succeq, \gg, \supset, \supseteq, \sqsupset, \sqsupseteq, \ni, \dashv$$ $$\equiv, \sim, \simeq, \asymp, \approx, \propto, \perp, \mid, \parallel, \smile, \frown$$ $$\bowtie, \models, \cong, \neq, \doteq,$$ % %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% % $$\oplus, \oplus, \ominus, \ominus, \odot, \odot, \oslash, \oslash$$ $$+, \ast, \cdot, \sqcap, \setminus, \bigtriangledown, \ominus, \bigcirc$$ $$-, \star, \cap, \sqcup, \wr, \triangleleft, \otimes, \dagger, \pm$$ $$\times, \circ, \cup, \vee, \diamond, \triangleright, \oslash, \ddagger, \mp$$ $$\div, \bullet, \uplus, \wedge, \bigtriangleup, \oplus, \odot, \amalg$$ $$\rhd, \lhd, \unlhd, \unrhd$$ % %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% $$\mho, \Box, \Diamond, \Join, \leadsto, \sqsubset, \sqsupset$$ $$\aleph, \ell, \surd, \angle, \flat, \partial, \triangle, \spadesuit$$ $$\hbar, \wp, \prime, \top, \forall, \natural, \infty, \clubsuit$$ $$\imath, \Re, \emptyset, \bot, \exists, \sharp, \diamondsuit$$ $$\jmath, \Im, \nabla, \|, \neg, \backslash, \heartsuit$$ $$\Gamma, \Lambda, \Sigma, \Psi, \Delta, \Xi, \Upsilon, \Omega, \Theta, \Pi, \Phi$$ % $$\Gamma, \Gamma, \Gamma, \Gamma$$ $${\cal A}, {\cal B}, \ldots, {\cal Z}$$ $$\hat{a}, \breve{a}, \tilde{a}, \bar{a}, \dot{a}, \grave{a}$$ $$\acute{a},\vec{a}, \ddot{a}, \check{a}, \imath, \jmath$$ $$\widehat{ab}, \widetilde{ab}, \vec{\imath}, \vec{\jmath}$$ % %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% -, --, --- \"{a}, \'{a}, \`{a}, \t{aa}, \v{a}, \b{a}, \u{a}, \={a}, \~{a}, \.{a}, \H{a}, \c{a}, \P, \S, \dag, \ddag, % uses mathhexbox on character in LBMS \copyright, \pounds, % should be characters in their own right \ae, \AE, \oe, \OE, \ss, \o, \O, \aa, \AA, !`, ?`, \i, \j, \L, \l, % may not exist in font <, >, % `<' 60 => 161 `>' 62 => 192 % %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% $$ \hat{A} \hat{B} \hat{C} \hat{D} \hat{E} \hat{F} \hat{G} \hat{H} \hat{I} \hat{J} \hat{K} \hat{L} \hat{M} \hat{N} \hat{O} \hat{P} \hat{Q} \hat{R} \hat{S} \hat{T} \hat{U} \hat{V} \hat{W} \hat{X} \hat{Y} \hat{Z} $$ $$ \hat{a} \hat{b} \hat{c} \hat{d} \hat{e} \hat{f} \hat{g} \hat{h} \hat{i} \hat{j} \hat{k} \hat{l} \hat{m} \hat{n} \hat{o} \hat{p} \hat{q} \hat{r} \hat{s} \hat{t} \hat{u} \hat{v} \hat{w} \hat{x} \hat{y} \hat{z} $$ $$ \hat{\Gamma} \hat{\Delta} \hat{\Theta} \hat{\Lambda} \hat{\Xi} \hat{\Pi} \hat{\Sigma} \hat{\Upsilon} \hat{\Phi} \hat{\Psi} \hat{\Omega} $$ % Lucida text fonts typically don't have Greek letters, so we have to % redefine uppercase Greek to use the math italic font. \mathchardef\Gamma="100 \mathchardef\Delta="101 \mathchardef\Theta="102 \mathchardef\Lambda="103 \mathchardef\Xi="104 \mathchardef\Pi="105 \mathchardef\Sigma="106 \mathchardef\Upsilon="107 \mathchardef\Phi="108 \mathchardef\Psi="109 \mathchardef\Omega="10A $$ \hat{\Gamma} \hat{\Delta} \hat{\Theta} \hat{\Lambda} \hat{\Xi} \hat{\Pi} \hat{\Sigma} \hat{\Upsilon} \hat{\Phi} \hat{\Psi} \hat{\Omega} $$ $$ \hat{\alpha} \hat{\beta} \hat{\gamma} \hat{\delta} \hat{\epsilon} \hat{\zeta} \hat{\eta} \hat{\theta} \hat{\iota} \hat{\kappa} \hat{\lambda} \hat{\mu} \hat{\nu} \hat{\xi} \hat{\pi} \hat{\rho} \hat{\sigma} \hat{\tau} \hat{\upsilon} \hat{\phi} \hat{\chi} \hat{\psi} \hat{\omega} \hat{\varepsilon} \hat{\vartheta} \hat{\varpi} \hat{\varrho} \hat{\varsigma} \hat{\varphi} $$ $$ % \hat{\partialdiff} \hat{\partial} % \hat{\lscript} \hat{\ell} % \hat{\dotlessi} \hat{\imath} % \hat{\dotlessj} \hat{\jmath} \hat{\wp} $$ $$ \hat{{\cal A}} \hat{{\cal B}} \hat{{\cal C}} \hat{{\cal D}} \hat{{\cal E}} \hat{{\cal F}} \hat{{\cal G}} \hat{{\cal H}} \hat{{\cal I}} \hat{{\cal J}} \hat{{\cal K}} \hat{{\cal L}} \hat{{\cal M}} \hat{{\cal N}} \hat{{\cal O}} \hat{{\cal P}} \hat{{\cal Q}} \hat{{\cal R}} \hat{{\cal S}} \hat{{\cal T}} \hat{{\cal U}} \hat{{\cal V}} \hat{{\cal W}} \hat{{\cal X}} \hat{{\cal Y}} \hat{{\cal Z}} $$ % %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% $$\left( \left( \left( \left( \left( \left( \left( x \right)^2 \right)^2 \right)^2 \right)^2 \right)^2 \right)^2 \right)^2 % $$ \quad % $$ \left[ \left[ \left[ \left[ \left[ \left[ \left[ x \right]^2 \right]^2 \right]^2 \right]^2 \right]^2 \right]^2 \right]^2$$ $$\pmatrix{ A&B&C&D&E&F\cr G&H&H&I&J&K\cr L&M&N&O&P&Q\cr R&S&T&U&V&W\cr} = \left[\matrix{ A&B&C&D&E&F\cr G&H&H&I&J&K\cr L&M&N&O&P&Q\cr R&S&T&U&V&W\cr}\right]. $$ $$\pmatrix{\pmatrix{\pmatrix{a&b\cr c&d\cr}& \pmatrix{e&f\cr g&h\cr}\cr \noalign{\smallskip} 0&\pmatrix{i&j\cr k&l\cr}\cr}& \pmatrix{\pmatrix{a&b\cr c&d\cr}& \pmatrix{e&f\cr g&h\cr}\cr \noalign{\smallskip} 0&\pmatrix{i&j\cr k&l\cr}\cr}\cr \pmatrix{\pmatrix{a&b\cr c&d\cr}& \pmatrix{e&f\cr g&h\cr}\cr \noalign{\smallskip} 0&\pmatrix{i&j\cr k&l\cr}\cr}& \pmatrix{\pmatrix{a&b\cr c&d\cr}& \pmatrix{e&f\cr g&h\cr}\cr \noalign{\smallskip} 0&\pmatrix{i&j\cr k&l\cr}\cr}\cr}.$$ % %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% % The old way of getting negated relations: % \noindent % $ % y \not\leq B \allowbreak\quad % y \not\geq B \allowbreak\quad % y \not\equiv B \allowbreak\quad % y \not\prec B \allowbreak\quad % y \not\succ B \allowbreak\quad % y \not\approx B \allowbreak\quad % y \not\preceq B \allowbreak\quad % y \not\succeq B \allowbreak\quad % % y \not\propto B \allowbreak\quad % % y \not\ll B \allowbreak\quad % % y \not\gg B \allowbreak\quad % y \not\asymp B \allowbreak\quad % y \not\subset B \allowbreak\quad % y \not\supset B \allowbreak\quad % y \not\sim B \allowbreak\quad % y \not\subseteq B \allowbreak\quad % y \not\supseteq B \allowbreak\quad % y \not\simeq B \allowbreak\quad % y \not\sqsubseteq B \allowbreak\quad % y \not\sqsupseteq B \allowbreak\quad % y \not\cong B \allowbreak\quad % y \not\in B \allowbreak\quad % y \not\ni B \allowbreak\quad % % y \not\bowtie B \allowbreak\quad % y \not\vdash B \allowbreak\quad % % y \not\dashv B \allowbreak\quad % y \not\models B \allowbreak\quad % % y \not\smile B \allowbreak\quad % % y \not\mid B \allowbreak\quad % % y \not\doteq B \allowbreak\quad % % y \not\frown B \allowbreak\quad % y \not\parallel B \allowbreak\quad % % y \not\perp B \allowbreak\quad % y \not= B \allowbreak\quad % y \not< B \allowbreak\quad % y \not> B \allowbreak\quad % % y \not\ne B \allowbreak\quad % % y \not: B \allowbreak\quad % $ \vskip .05in % The new way of getting negated relations: \noindent $ y \notleq B \allowbreak\quad y \notgeq B \allowbreak\quad y \notequiv B \allowbreak\quad y \notprec B \allowbreak\quad y \notsucc B \allowbreak\quad y \notapprox B \allowbreak\quad y \notpreceq B \allowbreak\quad y \notsucceq B \allowbreak\quad % y \notpropto B \allowbreak\quad % y \notll B \allowbreak\quad % y \notgg B \allowbreak\quad y \notasymp B \allowbreak\quad y \notsubset B \allowbreak\quad y \notsupset B \allowbreak\quad y \notsim B \allowbreak\quad y \notsubseteq B \allowbreak\quad y \notsupseteq B \allowbreak\quad y \notsimeq B \allowbreak\quad y \notsqsubseteq B \allowbreak\quad y \notsqsupseteq B \allowbreak\quad y \notcong B \allowbreak\quad y \notin B \allowbreak\quad y \notni B \allowbreak\quad % y \notbowtie B \allowbreak\quad y \notvdash B \allowbreak\quad % y \notdashv B \allowbreak\quad y \notmodels B \allowbreak\quad % y \notsmile B \allowbreak\quad % y \notmid B \allowbreak\quad % y \notdoteq B \allowbreak\quad % y \notfrown B \allowbreak\quad y \notparallel B \allowbreak\quad % y \notperp B \allowbreak\quad y \noteq B \allowbreak\quad y \notless B \allowbreak\quad y \notgreater B \allowbreak\quad % y \notne B \allowbreak\quad % y \notcolon B \allowbreak\quad $ % For CM: % \def\big#1{{\hbox{$\left#1\vbox to8.5\p@{}\right.\n@space$}}} % \def\Big#1{{\hbox{$\left#1\vbox to11.5\p@{}\right.\n@space$}}} % \def\bigg#1{{\hbox{$\left#1\vbox to14.5\p@{}\right.\n@space$}}} % \def\Bigg#1{{\hbox{$\left#1\vbox to17.5\p@{}\right.\n@space$}}} % Even bigger sizes than plain provides. \def\biggg#1{{\hbox{$\left#1\vbox to20.5pt{}\right.$}}} \def\bigggl{\mathopen\biggg} \def\bigggr{\mathclose\biggg} \def\Biggg#1{{\hbox{$\left#1\vbox to23.5pt{}\right.$}}} \def\Bigggl{\mathopen\Biggg} \def\Bigggr{\mathclose\Biggg} % for LucidaNewMath: % \def\big#1{{\hbox{$\left#1\vbox to8.63\p@{}\right.\n@space$}}} % \def\Big#1{{\hbox{$\left#1\vbox to11.37\p@{}\right.\n@space$}}} % \def\bigg#1{{\hbox{$\left#1\vbox to14.13\p@{}\right.\n@space$}}} % \def\Bigg#1{{\hbox{$\left#1\vbox to16.87\p@{}\right.\n@space$}}} % Even bigger sizes than plain provides. \def\biggg#1{{\hbox{$\left#1\vbox to19.62pt{}\right.$}}} \def\bigggl{\mathopen\biggg} \def\bigggr{\mathclose\biggg} \def\Biggg#1{{\hbox{$\left#1\vbox to22.37pt{}\right.$}}} \def\Bigggl{\mathopen\Biggg} \def\Bigggr{\mathclose\Biggg} $$ \Bigggl(\bigggl(\Biggl(\biggl(\Bigl(\bigl(({x})\bigr)\Bigr)\biggr)\Biggr)\bigggr)\Bigggr) % $$ \quad % $$ \Bigggl[\bigggl[\Biggl[\biggl[\Bigl[\bigl[[{x}]\bigr]\Bigr]\biggr]\Biggr]\bigggr]\Bigggr] % $$ % $$ % \Bigggl\lbrack\bigggl\lbrack\Biggl\lbrack\biggl\lbrack\Bigl\lbrack\bigl\lbrack\lbrack{x}\rbrack\bigr\rbrack\Bigr\rbrack\biggr\rbrack\Biggr\rbrack\bigggr\rbrack\Bigggr\rbrack % $$ \quad % $$ \Bigggl\{\bigggl\{\Biggl\{\biggl\{\Bigl\{\bigl\{\{{x}\}\bigr\}\Bigr\}\biggr\}\Biggr\}\bigggr\}\Bigggr\} $$ % $$ % \Bigggl\lbrace\bigggl\lbrace\Biggl\lbrace\biggl\lbrace\Bigl\lbrace\bigl\lbrace\lbrace{x}\rbrace\bigr\rbrace\Bigr\rbrace\biggr\rbrace\Biggr\rbrace\bigggr\rbrace\Bigggr\rbrace % $$ $$ \Bigggl\lmoustache\bigggl\lmoustache\Biggl\lmoustache\biggl\lmoustache\Bigl\lmoustache\bigl\lmoustache % \lmoustache {x} % \rmoustache \bigr\rmoustache\Bigr\rmoustache\biggr\rmoustache\Biggr\rmoustache\bigggr\rmoustache\Bigggr\rmoustache % $$ \quad % $$ \Bigggl\lceil\bigggl\lceil\Biggl\lceil\biggl\lceil\Bigl\lceil\bigl\lceil\lceil{x}\rceil\bigr\rceil\Bigr\rceil\biggr\rceil\Biggr\rceil\bigggr\rceil\Bigggr\rceil % $$ \quad % $$ \Bigggl\lfloor\bigggl\lfloor\Biggl\lfloor\biggl\lfloor\Bigl\lfloor\bigl\lfloor\lfloor{x}\rfloor\bigr\rfloor\Bigr\rfloor\biggr\rfloor\Biggr\rfloor\bigggr\rfloor\Bigggr\rfloor $$ $$ \Bigggl\langle\bigggl\langle\Biggl\langle\biggl\langle\Bigl\langle\bigl\langle\langle{x}\rangle\bigr\rangle\Bigr\rangle\biggr\rangle\Biggr\rangle\bigggr\rangle\Bigggr\rangle % $$ \quad % $$ \Bigggl\backslash\bigggl\backslash\Biggl\backslash\biggl\backslash\Bigl\backslash\bigl\backslash\backslash{x}/\bigr/\Bigr/\biggr/\Biggr/\bigggr/\Bigggr/ $$ $$ \Bigggl\lgroup\bigggl\lgroup\Biggl\lgroup\biggl\lgroup\Bigl\lgroup\bigl\lgroup % \lgroup {x} % \rgroup \bigr\rgroup\Bigr\rgroup\biggr\rgroup\Biggr\rgroup\bigggr\rgroup\Bigggr\rgroup % $$ \quad % $$ \Bigggl\uparrow\bigggl\uparrow\Biggl\uparrow\biggl\uparrow\Bigl\uparrow\bigl\uparrow\uparrow{x}\downarrow\bigr\downarrow\Bigr\downarrow\biggr\downarrow\Biggr\downarrow\bigggr\downarrow\Bigggr\downarrow $$ $$ \Bigggl\Uparrow\bigggl\Uparrow\Biggl\Uparrow\biggl\Uparrow\Bigl\Uparrow\bigl\Uparrow\Uparrow{x}\Downarrow\bigr\Downarrow\Bigr\Downarrow\biggr\Downarrow\Biggr\Downarrow\bigggr\Downarrow\Bigggr\Downarrow % $$ \quad % $$ \Bigggl\updownarrow\bigggl\updownarrow\Biggl\updownarrow\biggl\updownarrow\Bigl\updownarrow\bigl\updownarrow\updownarrow{x}\Updownarrow\bigr\Updownarrow\Bigr\Updownarrow\biggr\Updownarrow\Biggr\Updownarrow\bigggr\Updownarrow\Bigggr\Updownarrow $$ $$ \Bigggl\arrowvert\bigggl\arrowvert\Biggl\arrowvert\biggl\arrowvert\Bigl\arrowvert\bigl\arrowvert % \arrowvert {x} % \Arrowvert \bigr\Arrowvert\Bigr\Arrowvert\biggr\Arrowvert\Biggr\Arrowvert\bigggr\Arrowvert\Bigggr\Arrowvert % $$ \quad % $$ \Bigggl\Vert\bigggl\Vert\Biggl\Vert\biggl\Vert\Bigl\Vert\bigl\Vert\Vert{x}\vert\bigr\vert\Bigr\vert\biggr\vert\Biggr\vert\bigggr\vert\Bigggr\vert % $$ \quad % $$ \Bigggl\bracevert\bigggl\bracevert\Biggl\bracevert\biggl\bracevert\Bigl\bracevert\bigl\bracevert % \bracevert {x} % \bracevert \bigr\bracevert\Bigr\bracevert\biggr\bracevert\Biggr\bracevert\bigggr\bracevert\Bigggr\bracevert $$ \end % \end{document}