Development:MediaWiki TeX test: Difference between revisions
(New page: This should look like some maths: <math>\int_{-\infty}^\infty e^{-x^2}\,dx = \sqrt{\pi}</math> (This page was created for the benefit of MDLSITE-649.)) |
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This should look like some maths: | This should look like some maths: | ||
<math>\int_{-\infty}^\infty e^{-x^ | <math>\int_{-\infty}^\infty e^{-x^{tim}}\,dx = \sqrt{hunt^2}</math> | ||
(This page was created for the benefit of MDLSITE-649.) | (This page was created for the benefit of MDLSITE-649.) | ||
Heavy test: | |||
== Functions, symbols, special characters == | |||
<!-- Eight symbols per line seems to be optimal--> | |||
{| class="wikitable" | |||
! colspan="2" |<h3>Accents/Diacritics</h3> | |||
|- | |||
|<code>\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}</code> | |||
|<math>\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}\,\!</math> | |||
|- | |||
|<code>\check{a} \bar{a} \ddot{a} \dot{a}</code> | |||
|<math>\check{a} \bar{a} \ddot{a} \dot{a}\!</math> | |||
|- | |||
! colspan="2" | | |||
<h3>Standard functions</h3> | |||
|- | |||
|<code>\sin a \cos b \tan c</code> | |||
|<math>\sin a \cos b \tan c\!</math> | |||
|- | |||
|<code>\sec d \csc e \cot f</code> | |||
|<math>\sec d \csc e \cot f\,\!</math> | |||
|- | |||
|<code>\arcsin h \arccos i \arctan j</code> | |||
|<math>\arcsin h \arccos i \arctan j\,\!</math> | |||
|- | |||
|<code>\sinh k \cosh l \tanh m \coth n\!</code> | |||
|<math>\sinh k \cosh l \tanh m \coth n\!</math> | |||
|- | |||
|<code>\operatorname{sh}\,o\,\operatorname{ch}\,p\,\operatorname{th}\,q\!</code> | |||
|<math>\operatorname{sh}\,o\,\operatorname{ch}\,p\,\operatorname{th}\,q\!</math> | |||
|- | |||
|<code>\operatorname{arsinh}\,r\,\operatorname{arcosh}\,s\,\operatorname{artanh}\,t</code> | |||
|<math>\operatorname{arsinh}\,r\,\operatorname{arcosh}\,s\,\operatorname{artanh}\,t\,\!</math> | |||
|- | |||
|<code>\lim u \limsup v \liminf w \min x \max y\!</code> | |||
|<math>\lim u \limsup v \liminf w \min x \max y\!</math> | |||
|- | |||
|<code>\inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g\!</code> | |||
|<math>\inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g\!</math> | |||
|- | |||
|<code>\deg h \gcd i \Pr j \det k \hom l \arg m \dim n</code> | |||
|<math>\deg h \gcd i \Pr j \det k \hom l \arg m \dim n\!</math> | |||
|- | |||
! colspan="2" | | |||
<h3>Modular arithmetic</h3> | |||
|- | |||
|<code>s_k \equiv 0 \pmod{m}</code> | |||
|<math>s_k \equiv 0 \pmod{m}\,\!</math> | |||
|- | |||
|<code>a\,\bmod\,b</code> | |||
|<math>a\,\bmod\,b\,\!</math> | |||
|- | |||
! colspan="2" | <h3>Derivatives</h3> | |||
|- | |||
|<code>\nabla \, \partial x \, dx \, \dot x \, \ddot y\, dy/dx\, \frac{dy}{dx}\, \frac{\partial^2 y}{\partial x_1\,\partial x_2}</code> | |||
|<math>\nabla \, \partial x \, dx \, \dot x \, \ddot y\, dy/dx\, \frac{dy}{dx}\, \frac{\partial^2 y}{\partial x_1\,\partial x_2}</math> | |||
|- | |||
! colspan="2" | | |||
<h3>Sets</h3> | |||
|- | |||
|<code>\forall \exists \empty \emptyset \varnothing</code> | |||
|<math>\forall \exists \empty \emptyset \varnothing\,\!</math> | |||
|- | |||
|<code>\in \ni \not \in \notin \subset \subseteq \supset \supseteq</code> | |||
|<math>\in \ni \not \in \notin \subset \subseteq \supset \supseteq\,\!</math> | |||
|- | |||
|<code>\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus</code> | |||
|<math>\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus\,\!</math> | |||
|- | |||
|<code>\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup</code> | |||
|<math>\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup\,\!</math> | |||
|- | |||
! colspan="2" | | |||
<h3>Operators</h3> | |||
|- | |||
|<code>+ \oplus \bigoplus \pm \mp - </code> | |||
|<math>+ \oplus \bigoplus \pm \mp - \,\!</math> | |||
|- | |||
|<code>\times \otimes \bigotimes \cdot \circ \bullet \bigodot</code> | |||
|<math>\times \otimes \bigotimes \cdot \circ \bullet \bigodot\,\!</math> | |||
|- | |||
|<code>\star * / \div \frac{1}{2}</code> | |||
|<math>\star * / \div \frac{1}{2}\,\!</math> | |||
|- | |||
! colspan="2" | | |||
<h3>Logic</h3> | |||
|- | |||
|<code>\land (or \and) \wedge \bigwedge \bar{q} \to p</code> | |||
|<math>\land \wedge \bigwedge \bar{q} \to p\,\!</math> | |||
|- | |||
|<code>\lor \vee \bigvee \lnot \neg q \And</code> | |||
|<math>\lor \vee \bigvee \lnot \neg q \And\,\!</math> | |||
|- | |||
! colspan="2" | | |||
<h3>Root</h3> | |||
|- | |||
|<code>\sqrt{2} \sqrt[n]{x}</code> | |||
|<math>\sqrt{2} \sqrt[n]{x}\,\!</math> | |||
|- | |||
! colspan="2" | <h3>Relations</h3> | |||
|- | |||
|<code>\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}</code> | |||
|<math>\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}\,\!</math> | |||
|- | |||
|<code>\le < \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto</code> | |||
|<math>\le < \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto\,\!</math> | |||
|- | |||
! colspan="2" | | |||
<h3>Geometric</h3> | |||
|- | |||
|<code><nowiki>\Diamond \Box \triangle \angle \perp \mid \nmid \| 45^\circ</nowiki></code> | |||
|<math>\Diamond \, \Box \, \triangle \, \angle \perp \, \mid \; \nmid \, \| 45^\circ\,\!</math> | |||
|- | |||
! colspan="2" | | |||
<h3>Arrows</h3> | |||
|- | |||
|<code>\leftarrow (or \gets) \rightarrow (or \to) \nleftarrow \nrightarrow \leftrightarrow \nleftrightarrow \longleftarrow \longrightarrow \longleftrightarrow</code> | |||
|<math>\leftarrow \rightarrow \nleftarrow \not\to \leftrightarrow \nleftrightarrow \longleftarrow \longrightarrow \longleftrightarrow \,\!</math> | |||
|- | |||
|<code>\Leftarrow \Rightarrow \nLeftarrow \nRightarrow \Leftrightarrow \nLeftrightarrow \Longleftarrow \Longrightarrow \Longleftrightarrow (or \iff)</code> | |||
|<math>\Leftarrow \Rightarrow \nLeftarrow \nRightarrow \Leftrightarrow \nLeftrightarrow \Longleftarrow \Longrightarrow \Longleftrightarrow \!</math> | |||
|- | |||
|<code>\uparrow \downarrow \updownarrow \Uparrow \Downarrow \Updownarrow \nearrow \searrow \swarrow \nwarrow</code> | |||
|<math>\uparrow \downarrow \updownarrow \Uparrow \Downarrow \Updownarrow \nearrow \searrow \swarrow \nwarrow \!</math> | |||
|- | |||
|<code>\rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \leftrightharpoons</code> | |||
|<math>\rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \leftrightharpoons \,\!</math> | |||
|- | |||
|<code>\curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \Rrightarrow \rightarrowtail \looparrowright</code> | |||
|<math>\curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \Rrightarrow \rightarrowtail \looparrowright \,\!</math> | |||
|- | |||
|<code>\curvearrowright \circlearrowright \Rsh \downdownarrows \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft</code> | |||
|<math>\curvearrowright \circlearrowright \Rsh \downdownarrows \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft \,\!</math> | |||
|- | |||
|<code>\mapsto \longmapsto \hookrightarrow \hookleftarrow \multimap \leftrightsquigarrow \rightsquigarrow </code> | |||
|<math>\mapsto \longmapsto \hookrightarrow \hookleftarrow \multimap \leftrightsquigarrow \rightsquigarrow \,\!</math> | |||
|- | |||
! colspan="2" | | |||
<h3>Special</h3> | |||
|- | |||
|<code>\And \eth \S \P \% \dagger \ddagger \ldots \cdots</code> | |||
|<math>\And \eth \S \P \% \dagger \ddagger \ldots \cdots\,\!</math> | |||
|- | |||
|<code>\smile \frown \wr \triangleleft \triangleright \infty \bot \top</code> | |||
|<math>\smile \frown \wr \triangleleft \triangleright \infty \bot \top\,\!</math> | |||
|- | |||
|<code>\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar</code> | |||
|<math>\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar\,\!</math> | |||
|- | |||
|<code>\ell \mho \Finv \Re \Im \wp \complement</code> | |||
|<math>\ell \mho \Finv \Re \Im \wp \complement\,\!</math> | |||
|- | |||
|<code>\diamondsuit \heartsuit \clubsuit \spadesuit \Game \flat \natural \sharp</code> | |||
|<math>\diamondsuit \heartsuit \clubsuit \spadesuit \Game \flat \natural \sharp\,\!</math> | |||
|- | |||
! colspan="2" | | |||
<h3>Unsorted (new stuff)</h3> | |||
|- | |||
|<code> \vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown</code> | |||
|<math> \vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown</math> | |||
|- | |||
|<code> \blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge</code> | |||
|<math> \blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge\!</math> | |||
|- | |||
|<code> \veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes</code> | |||
|<math> \veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes</math> | |||
|- | |||
|<code> \rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant</code> | |||
|<math> \rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant</math> | |||
|- | |||
|<code> \eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq</code> | |||
|<math> \eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq</math> | |||
|- | |||
|<code> \fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft</code> | |||
|<math> \fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft</math> | |||
|- | |||
|<code> \Vvdash \bumpeq \Bumpeq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \eqsim \gtrdot</code> | |||
|<math> \Vvdash \bumpeq \Bumpeq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \eqsim \gtrdot</math> | |||
|- | |||
|<code> \ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq</code> | |||
|<math> \ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq</math> | |||
|- | |||
|<code> \Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork</code> | |||
|<math> \Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork</math> | |||
|- | |||
|<code> \varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq</code> | |||
|<math> \varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq</math> | |||
|- | |||
|<code> \lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid</code> | |||
|<math> \lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid</math> | |||
|- | |||
|<code> \nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr</code> | |||
|<math> \nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr</math> | |||
|- | |||
|<code>\subsetneq</code> | |||
|<math>\subsetneq</math> | |||
|- | |||
|<code> \ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq</code> | |||
|<math> \ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq</math> | |||
|- | |||
|<code> \succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq</code> | |||
|<math> \succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq</math> | |||
|- | |||
|<code> \nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq</code> | |||
|<math> \nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq</math> | |||
|- | |||
|<code>\jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus</code> | |||
|<math>\jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus\,\!</math> | |||
|- | |||
|<code>\oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq</code> | |||
|<math>\oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq\,\!</math> | |||
|- | |||
|<code>\dashv \asymp \doteq \parallel</code> | |||
|<math>\dashv \asymp \doteq \parallel\,\!</math> | |||
|- | |||
|<code>\ulcorner \urcorner \llcorner \lrcorner</code> | |||
|<math>\ulcorner \urcorner \llcorner \lrcorner</math> | |||
|} | |||
== Larger Expressions == | |||
=== Subscripts, superscripts, integrals === | |||
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" | |||
!rowspan="2"|Feature!!rowspan="2"|Syntax!!colspan="2"|How it looks rendered | |||
|- | |||
!HTML!!PNG | |||
|- | |||
|- | |||
|Superscript||<code>a^2</code>||<math>a^2</math>||<math>a^2 \,\!</math> | |||
|- | |||
|Subscript||<code>a_2</code>||<math>a_2</math>||<math>a_2 \,\!</math> | |||
|- | |||
|rowspan=2|Grouping||<code>a^{2+2}</code>||<math>a^{2+2}</math>||<math>a^{2+2}\,\!</math> | |||
|- | |||
|<code>a_{i,j}</code>||<math>a_{i,j}</math>||<math>a_{i,j}\,\!</math> | |||
|- | |||
|rowspan=2|Combining sub & super without and with horizontal separation||<code>x_2^3</code>||<math>x_2^3</math>||<math>x_2^3 \,\!</math> | |||
|- | |||
|<code>{x_2}^3</code>||<math>{x_2}^3</math>||<math>{x_2}^3 \,\!</math> | |||
|- | |||
|Super super||<code>10^{10^{ \,\!{8} }</code>||colspan=2|<math>10^{10^{ \,\! 8 } }</math> | |||
|- | |||
|Super super||<code>10^{10^{ \overset{8}{} }}</code>||colspan=2|<math>10^{10^{ \overset{8}{} }}</math> | |||
|- | |||
|Super super (wrong in HTML in some browsers)||<code>10^{10^8}</code> ||colspan=2|<math>10^{10^8}</math> | |||
|- | |||
|rowspan="2"|Preceding and/or Additional sub & super||<code>\sideset{_1^2}{_3^4}\prod_a^b</code>||colspan=2|<math>\sideset{_1^2}{_3^4}\prod_a^b</math> | |||
|- | |||
|<code>{}_1^2\!\Omega_3^4</code>||colspan=2|<math>{}_1^2\!\Omega_3^4</math> | |||
|- | |||
|rowspan="4"|Stacking | |||
|<code>\overset{\alpha}{\omega}</code>||colspan="2"|<math>\overset{\alpha}{\omega}</math> | |||
|- | |||
|<code>\underset{\alpha}{\omega}</code>||colspan="2"|<math>\underset{\alpha}{\omega}</math> | |||
|- | |||
|<code>\overset{\alpha}{\underset{\gamma}{\omega}}</code>||colspan="2"|<math>\overset{\alpha}{\underset{\gamma}{\omega}}</math> | |||
|- | |||
|<code>\stackrel{\alpha}{\omega}</code>||colspan="2"|<math>\stackrel{\alpha}{\omega}</math> | |||
|- | |||
|Derivative (forced PNG)||<code>x', y<nowiki>''</nowiki>, f', f<nowiki>''</nowiki>\!</code>|| ||<math>x', y'', f', f''\!</math> | |||
|- | |||
|Derivative (f in italics may overlap primes in HTML)||<code>x', y<nowiki>''</nowiki>, f', f<nowiki>''</nowiki></code>||<math>x', y'', f', f''</math>||<math>x', y'', f', f''\!</math> | |||
|- | |||
|Derivative (wrong in HTML)||<code>x^\prime, y^{\prime\prime}</code>||<math>x^\prime, y^{\prime\prime}</math>||<math>x^\prime, y^{\prime\prime}\,\!</math> | |||
|- | |||
|Derivative (wrong in PNG)||<code>x\prime, y\prime\prime</code>||<math>x\prime, y\prime\prime</math>||<math>x\prime, y\prime\prime\,\!</math> | |||
|- | |||
|Derivative dots||<code>\dot{x}, \ddot{x}</code>||colspan=2|<math>\dot{x}, \ddot{x}</math> | |||
|- | |||
|rowspan="3"|Underlines, overlines, vectors||<code>\hat a \ \bar b \ \vec c</code>||colspan=2|<math>\hat a \ \bar b \ \vec c</math> | |||
|- | |||
|<code>\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f}</code>||colspan=2|<math>\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f}</math> | |||
|- | |||
|<code>\overline{g h i} \ \underline{j k l}</code>||colspan=2|<math>\overline{g h i} \ \underline{j k l}</math> | |||
|- | |||
|Arrows||<code> A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C</code>||colspan=2|<math> A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C</math> | |||
|- | |||
|Overbraces||<code>\overbrace{ 1+2+\cdots+100 }^{5050}</code>||colspan=2|<math>\overbrace{ 1+2+\cdots+100 }^{5050}</math> | |||
|- | |||
|Underbraces||<code>\underbrace{ a+b+\cdots+z }_{26}</code>||colspan=2|<math>\underbrace{ a+b+\cdots+z }_{26}</math> | |||
|- | |||
|Sum||<code>\sum_{k=1}^N k^2</code>||colspan=2|<math>\sum_{k=1}^N k^2</math> | |||
|- | |||
|Sum (force <code>\textstyle</code>)||<code>\textstyle \sum_{k=1}^N k^2 </code>||colspan=2|<math>\textstyle \sum_{k=1}^N k^2</math> | |||
|- | |||
|Product||<code>\prod_{i=1}^N x_i</code>||colspan=2|<math>\prod_{i=1}^N x_i</math> | |||
|- | |||
|Product (force <code>\textstyle</code>)||<code>\textstyle \prod_{i=1}^N x_i</code>||colspan=2|<math>\textstyle \prod_{i=1}^N x_i</math> | |||
|- | |||
|Coproduct||<code>\coprod_{i=1}^N x_i</code>||colspan=2|<math>\coprod_{i=1}^N x_i</math> | |||
|- | |||
|Coproduct (force <code>\textstyle</code>)||<code>\textstyle \coprod_{i=1}^N x_i</code>||colspan=2|<math>\textstyle \coprod_{i=1}^N x_i</math> | |||
|- | |||
|Limit||<code>\lim_{n \to \infty}x_n</code>||colspan=2|<math>\lim_{n \to \infty}x_n</math> | |||
|- | |||
|Limit (force <code>\textstyle</code>)||<code>\textstyle \lim_{n \to \infty}x_n</code>||colspan=2|<math>\textstyle \lim_{n \to \infty}x_n</math> | |||
|- | |||
|Integral||<code>\int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx</code>||colspan=2|<math>\int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx</math> | |||
|- | |||
|Integral (alternate limits style)||<code>\int_{1}^{3}\frac{e^3/x}{x^2}\, dx</code>||colspan=2|<math>\int_{1}^{3}\frac{e^3/x}{x^2}\, dx</math> | |||
|- | |||
|Integral (force <code>\textstyle</code>)||<code>\textstyle \int\limits_{-N}^{N} e^x\, dx</code>||colspan=2|<math>\textstyle \int\limits_{-N}^{N} e^x\, dx</math> | |||
|- | |||
|Integral (force <code>\textstyle</code>, alternate limits style)||<code>\textstyle \int_{-N}^{N} e^x\, dx</code>||colspan=2|<math>\textstyle \int_{-N}^{N} e^x\, dx</math> | |||
|- | |||
|Double integral||<code>\iint\limits_D \, dx\,dy</code>||colspan=2|<math>\iint\limits_D \, dx\,dy</math> | |||
|- | |||
|Triple integral||<code>\iiint\limits_E \, dx\,dy\,dz</code>||colspan=2|<math>\iiint\limits_E \, dx\,dy\,dz</math> | |||
|- | |||
|Quadruple integral||<code>\iiiint\limits_F \, dx\,dy\,dz\,dt</code>||colspan=2|<math>\iiiint\limits_F \, dx\,dy\,dz\,dt</math> | |||
|- | |||
|Line or path integral||<code>\int_C x^3\, dx + 4y^2\, dy</code>||colspan=2|<math>\int_C x^3\, dx + 4y^2\, dy</math> | |||
|- | |||
|Closed line or path integral||<code>\oint_C x^3\, dx + 4y^2\, dy</code>||colspan=2|<math>\oint_C x^3\, dx + 4y^2\, dy</math> | |||
|- | |||
|Intersections||<code>\bigcap_1^n p</code>||colspan=2|<math>\bigcap_1^n p</math> | |||
|- | |||
|Unions||<code>\bigcup_1^k p</code>||colspan=2|<math>\bigcup_1^k p</math> | |||
|} | |||
=== Fractions, matrices, multilines === | |||
<table class="wikitable"> | |||
<tr> | |||
<th>Feature</th> | |||
<th>Syntax</th> | |||
<th>How it looks rendered</th> | |||
</tr> | |||
<tr> | |||
<td>Fractions</td> | |||
<td><code>\frac{2}{4}=0.5</code></td> | |||
<td><math>\frac{2}{4}=0.5</math></td> | |||
</tr> | |||
<tr> | |||
<td>Small Fractions</td> | |||
<td><code>\tfrac{2}{4} = 0.5</code></td> | |||
<td><math>\tfrac{2}{4} = 0.5</math></td> | |||
</tr> | |||
<tr> | |||
<td>Large (normal) Fractions</td> | |||
<td><code>\dfrac{2}{4} = 0.5 \qquad \dfrac{2}{c + \dfrac{2}{d + \dfrac{2}{4}}} = a </code></td> | |||
<td><math>\dfrac{2}{4} = 0.5 \qquad \dfrac{2}{c + \dfrac{2}{d + \dfrac{2}{4}}} = a</math></td> | |||
</tr> | |||
<tr> | |||
<td>Large (nested) Fractions</td> | |||
<td><code>\cfrac{2}{c + \cfrac{2}{d + \cfrac{2}{4}}} = a</code></td> | |||
<td><math>\cfrac{2}{c + \cfrac{2}{d + \cfrac{2}{4}}} = a</math></td> | |||
</tr> | |||
<tr> | |||
<td>Binomial coefficients</td> | |||
<td><code>\binom{n}{k}</code></td> | |||
<td><math>\binom{n}{k}</math></td> | |||
</tr> | |||
<tr> | |||
<td>Small Binomial coefficients</td> | |||
<td><code>\tbinom{n}{k}</code></td> | |||
<td><math>\tbinom{n}{k}</math></td> | |||
</tr> | |||
<tr> | |||
<td>Large (normal) Binomial coefficients</td> | |||
<td><code>\dbinom{n}{k}</code></td> | |||
<td><math>\dbinom{n}{k}</math></td> | |||
</tr> | |||
<tr> | |||
<td rowspan="7">Matrices</td> | |||
<td><pre>\begin{matrix} | |||
x & y \\ | |||
z & v | |||
\end{matrix}</pre></td> | |||
<td><math>\begin{matrix} x & y \\ z & v | |||
\end{matrix}</math></td> | |||
</tr> | |||
<tr> | |||
<td><pre>\begin{vmatrix} | |||
x & y \\ | |||
z & v | |||
\end{vmatrix}</pre></td> | |||
<td><math>\begin{vmatrix} x & y \\ z & v | |||
\end{vmatrix}</math></td> | |||
</tr> | |||
<tr> | |||
<td><pre>\begin{Vmatrix} | |||
x & y \\ | |||
z & v | |||
\end{Vmatrix}</pre></td> | |||
<td><math>\begin{Vmatrix} x & y \\ z & v | |||
\end{Vmatrix}</math></td> | |||
</tr> | |||
<tr> | |||
<td><pre>\begin{bmatrix} | |||
0 & \cdots & 0 \\ | |||
\vdots & \ddots & \vdots \\ | |||
0 & \cdots & 0 | |||
\end{bmatrix}</pre></td> | |||
<td><math>\begin{bmatrix} 0 & \cdots & 0 \\ \vdots | |||
& \ddots & \vdots \\ 0 & \cdots & | |||
0\end{bmatrix} </math></td> | |||
</tr> | |||
<tr> | |||
<td><pre>\begin{Bmatrix} | |||
x & y \\ | |||
z & v | |||
\end{Bmatrix}</pre></td> | |||
<td><math>\begin{Bmatrix} x & y \\ z & v | |||
\end{Bmatrix}</math></td> | |||
</tr> | |||
<tr> | |||
<td><pre>\begin{pmatrix} | |||
x & y \\ | |||
z & v | |||
\end{pmatrix}</pre></td> | |||
<td><math>\begin{pmatrix} x & y \\ z & v | |||
\end{pmatrix}</math></td> | |||
</tr> | |||
<tr> | |||
<td><pre> | |||
\bigl( \begin{smallmatrix} | |||
a&b\\ c&d | |||
\end{smallmatrix} \bigr) | |||
</pre></td> | |||
<td><math> | |||
\bigl( \begin{smallmatrix} | |||
a&b\\ c&d | |||
\end{smallmatrix} \bigr) | |||
</math></td> | |||
</tr> | |||
<tr> | |||
<td>Case distinctions</td> | |||
<td><pre> | |||
f(n) = | |||
\begin{cases} | |||
n/2, & \mbox{if }n\mbox{ is even} \\ | |||
3n+1, & \mbox{if }n\mbox{ is odd} | |||
\end{cases}</pre></td> | |||
<td><math>f(n) = | |||
\begin{cases} | |||
n/2, & \mbox{if }n\mbox{ is even} \\ | |||
3n+1, & \mbox{if }n\mbox{ is odd} | |||
\end{cases} </math></td> | |||
</tr> | |||
<tr> | |||
<td rowspan="2">Multiline equations</td> | |||
<td><pre> | |||
\begin{align} | |||
f(x) & = (a+b)^2 \\ | |||
& = a^2+2ab+b^2 \\ | |||
\end{align} | |||
</pre></td> | |||
<td><math> | |||
\begin{align} | |||
f(x) & = (a+b)^2 \\ | |||
& = a^2+2ab+b^2 \\ | |||
\end{align} | |||
</math></td> | |||
</tr> | |||
<tr> | |||
<td><pre> | |||
\begin{alignat}{2} | |||
f(x) & = (a-b)^2 \\ | |||
& = a^2-2ab+b^2 \\ | |||
\end{alignat} | |||
</pre></td> | |||
<td><math> | |||
\begin{alignat}{2} | |||
f(x) & = (a-b)^2 \\ | |||
& = a^2-2ab+b^2 \\ | |||
\end{alignat} | |||
</math></td> | |||
</tr> | |||
<tr> | |||
<td>Multiline equations <small>(must define number of colums used ({lcr}) <small>(should not be used unless needed)</small></small></td> | |||
<td><pre> | |||
\begin{array}{lcl} | |||
z & = & a \\ | |||
f(x,y,z) & = & x + y + z | |||
\end{array}</pre></td> | |||
<td><math>\begin{array}{lcl} | |||
z & = & a \\ | |||
f(x,y,z) & = & x + y + z | |||
\end{array}</math></td> | |||
</tr> | |||
<tr> | |||
<td>Multiline equations (more)</td> | |||
<td><pre> | |||
\begin{array}{lcr} | |||
z & = & a \\ | |||
f(x,y,z) & = & x + y + z | |||
\end{array}</pre></td> | |||
<td><math>\begin{array}{lcr} | |||
z & = & a \\ | |||
f(x,y,z) & = & x + y + z | |||
\end{array}</math></td> | |||
</tr> | |||
<tr> | |||
<td>Breaking up a long expression so that it wraps when necessary, at the expense of destroying correct spacing</td> | |||
<td><pre> | |||
<nowiki> | |||
<math>f(x) \,\!</math> | |||
<math>= \sum_{n=0}^\infty a_n x^n </math> | |||
<math>= a_0+a_1x+a_2x^2+\cdots</math> | |||
</nowiki> | |||
</pre> | |||
</td> | |||
<td> | |||
<math>f(x) \,\!</math><math>= \sum_{n=0}^\infty a_n x^n </math><math>= a_0 +a_1x+a_2x^2+\cdots</math> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>Simultaneous equations</td> | |||
<td><pre>\begin{cases} | |||
3x + 5y + z \\ | |||
7x - 2y + 4z \\ | |||
-6x + 3y + 2z | |||
\end{cases}</pre></td> | |||
<td><math>\begin{cases} 3x + 5y + z \\ 7x - 2y + 4z \\ -6x + 3y + 2z \end{cases}</math></td> | |||
</tr> | |||
<tr> | |||
<td>Arrays</td> | |||
<td><pre> | |||
\begin{array}{|c|c||c|} a & b & S \\ | |||
\hline | |||
0&0&1\\ | |||
0&1&1\\ | |||
1&0&1\\ | |||
1&1&0\\ | |||
\end{array} | |||
</pre></td> | |||
<td><math> | |||
\begin{array}{|c|c||c|} a & b & S \\ | |||
\hline | |||
0&0&1\\ | |||
0&1&1\\ | |||
1&0&1\\ | |||
1&1&0\\ | |||
\end{array} | |||
</math></td> | |||
</tr> | |||
</table> | |||
=== Parenthesizing big expressions, brackets, bars === | |||
{| class="wikitable" | |||
! Feature !! Syntax !! How it looks rendered | |||
|- | |||
| Bad | |||
| <code>( \frac{1}{2} )</code> | |||
| <math>( \frac{1}{2} )</math> | |||
|- | |||
| Good | |||
| <code>\left ( \frac{1}{2} \right )</code> | |||
| <math>\left ( \frac{1}{2} \right )</math> | |||
|} | |||
You can use various delimiters with \left and \right: | |||
{| class="wikitable" | |||
! Feature | |||
! Syntax | |||
! How it looks rendered | |||
|- | |||
| Parentheses | |||
| <code>\left ( \frac{a}{b} \right )</code> | |||
| <math>\left ( \frac{a}{b} \right )</math> | |||
|- | |||
| Brackets | |||
| <code>\left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack</code> | |||
| <math>\left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack</math> | |||
|- | |||
| Braces | |||
| <code>\left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace</code> | |||
| <math>\left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace</math> | |||
|- | |||
| Angle brackets | |||
| <code>\left \langle \frac{a}{b} \right \rangle</code> | |||
| <math>\left \langle \frac{a}{b} \right \rangle</math> | |||
|- | |||
| Bars and double bars | |||
| <code><nowiki>\left | \frac{a}{b} \right \vert \left \Vert \frac{c}{d} \right \|</nowiki></code> | |||
| <math>\left | \frac{a}{b} \right \vert \left \Vert \frac{c}{d} \right \|</math> | |||
|- | |||
| Floor and ceiling functions: | |||
| <code>\left \lfloor \frac{a}{b} \right \rfloor \left \lceil \frac{c}{d} \right \rceil</code> | |||
| <math>\left \lfloor \frac{a}{b} \right \rfloor \left \lceil \frac{c}{d} \right \rceil</math> | |||
|- | |||
| Slashes and backslashes | |||
| <code>\left / \frac{a}{b} \right \backslash</code> | |||
| <math>\left / \frac{a}{b} \right \backslash</math> | |||
|- | |||
| Up, down and up-down arrows | |||
| <code>\left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow</code> | |||
| <math>\left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow</math> | |||
|- | |||
| Delimiters can be mixed,<br/>as long as \left and \right match | |||
| <code><nowiki>\left [ 0,1 \right )</code> <br/> <code>\left \langle \psi \right |</nowiki></code> | |||
| <math>\left [ 0,1 \right )</math> <br/> <math>\left \langle \psi \right |</math> | |||
|- | |||
| Use \left. and \right. if you don't<br/>want a delimiter to appear: | |||
| <code>\left . \frac{A}{B} \right \} \to X</code> | |||
| <math>\left . \frac{A}{B} \right \} \to X</math> | |||
|- | |||
| rowspan="7" | Size of the delimiters | |||
| <code>\big( \Big( \bigg( \Bigg( \dots \Bigg] \bigg] \Big] \big]/<code> | |||
| <math>\big( \Big( \bigg( \Bigg( \dots \Bigg] \bigg] \Big] \big]</math> | |||
|- | |||
| <code>\big\{ \Big\{ \bigg\{ \Bigg\{ \dots \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle</code> | |||
| <math>\big\{ \Big\{ \bigg\{ \Bigg\{ \dots \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle</math> | |||
|- | |||
| <code><nowiki>\big\| \Big\| \bigg\| \Bigg\| \dots \Bigg| \bigg| \Big| \big|</nowiki></code> | |||
| <math>\big\| \Big\| \bigg\| \Bigg\| \dots \Bigg| \bigg| \Big| \big|</math> | |||
|- | |||
| <code>\big\lfloor \Big\lfloor \bigg\lfloor \Bigg\lfloor \dots \Bigg\rceil \bigg\rceil \Big\rceil \big\rceil</code> | |||
| <math>\big\lfloor \Big\lfloor \bigg\lfloor \Bigg\lfloor \dots \Bigg\rceil \bigg\rceil \Big\rceil \big\rceil</math> | |||
|- | |||
| <code>\big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow \dots \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow</code> | |||
| <math>\big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow \dots \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow</math> | |||
|- | |||
| <code>\big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow \dots \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow</code> | |||
| <math>\big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow \dots \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow</math> | |||
|- | |||
| <code>\big / \Big / \bigg / \Bigg / \dots \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash</code> | |||
| <math>\big / \Big / \bigg / \Bigg / \dots \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash</math> | |||
|} | |||
== Alphabets and typefaces == | |||
[[w:Texvc|Texvc]] cannot render arbitrary [[w:Unicode|Unicode]] characters. Those it can handle can be entered by the expressions below. | |||
For others, such as [[w:Cyrillic|Cyrillic]], they can be entered as Unicode or HTML entities in running text, but cannot be used in displayed formulas. | |||
{| class="wikitable" | |||
! colspan="2" | Greek alphabet | |||
|- | |||
|<code><nowiki>\Alpha \Beta \Gamma \Delta \Epsilon \Zeta</nowiki></code> | |||
|<math>\Alpha \Beta \Gamma \Delta \Epsilon \Zeta \,\!</math> | |||
|- | |||
|<code><nowiki>\Eta \Theta \Iota \Kappa \Lambda \Mu</nowiki></code> | |||
|<math>\Eta \Theta \Iota \Kappa \Lambda \Mu \,\!</math> | |||
|- | |||
|<code><nowiki>\Nu \Xi \Pi \Rho \Sigma \Tau</nowiki></code> | |||
|<math>\Nu \Xi \Pi \Rho \Sigma \Tau\,\!</math> | |||
|- | |||
|<code><nowiki>\Upsilon \Phi \Chi \Psi \Omega</nowiki></code> | |||
|<math>\Upsilon \Phi \Chi \Psi \Omega \,\!</math> | |||
|- | |||
|<code><nowiki>\alpha \beta \gamma \delta \epsilon \zeta</nowiki></code> | |||
|<math>\alpha \beta \gamma \delta \epsilon \zeta \,\!</math> | |||
|- | |||
|<code><nowiki>\eta \theta \iota \kappa \lambda \mu</nowiki></code> | |||
|<math>\eta \theta \iota \kappa \lambda \mu \,\!</math> | |||
|- | |||
|<code><nowiki>\nu \xi \pi \rho \sigma \tau</nowiki></code> | |||
|<math>\nu \xi \pi \rho \sigma \tau \,\!</math> | |||
|- | |||
|<code><nowiki>\upsilon \phi \chi \psi \omega</nowiki></code> | |||
|<math>\upsilon \phi \chi \psi \omega \,\!</math> | |||
|- | |||
|<code><nowiki>\varepsilon \digamma \vartheta \varkappa</nowiki></code> | |||
|<math>\varepsilon \digamma \vartheta \varkappa \,\!</math> | |||
|- | |||
|<code><nowiki>\varpi \varrho \varsigma \varphi</nowiki></code> | |||
|<math>\varpi \varrho \varsigma \varphi\,\!</math> | |||
|- | |||
! colspan="2" | Blackboard Bold/Scripts | |||
|- | |||
|<code><nowiki>\mathbb{A} \mathbb{B} \mathbb{C} \mathbb{D} \mathbb{E} \mathbb{F} \mathbb{G}</nowiki></code> | |||
|<math>\mathbb{A} \mathbb{B} \mathbb{C} \mathbb{D} \mathbb{E} \mathbb{F} \mathbb{G} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathbb{H} \mathbb{I} \mathbb{J} \mathbb{K} \mathbb{L} \mathbb{M}</nowiki></code> | |||
|<math>\mathbb{H} \mathbb{I} \mathbb{J} \mathbb{K} \mathbb{L} \mathbb{M} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathbb{N} \mathbb{O} \mathbb{P} \mathbb{Q} \mathbb{R} \mathbb{S} \mathbb{T}</nowiki></code> | |||
|<math>\mathbb{N} \mathbb{O} \mathbb{P} \mathbb{Q} \mathbb{R} \mathbb{S} \mathbb{T} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathbb{U} \mathbb{V} \mathbb{W} \mathbb{X} \mathbb{Y} \mathbb{Z}</nowiki></code> | |||
|<math>\mathbb{U} \mathbb{V} \mathbb{W} \mathbb{X} \mathbb{Y} \mathbb{Z}\,\!</math> | |||
|- | |||
! colspan="2" | boldface (vectors) | |||
|- | |||
|<code><nowiki>\mathbf{A} \mathbf{B} \mathbf{C} \mathbf{D} \mathbf{E} \mathbf{F} \mathbf{G}</nowiki></code> | |||
|<math>\mathbf{A} \mathbf{B} \mathbf{C} \mathbf{D} \mathbf{E} \mathbf{F} \mathbf{G} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathbf{H} \mathbf{I} \mathbf{J} \mathbf{K} \mathbf{L} \mathbf{M}</nowiki></code> | |||
|<math>\mathbf{H} \mathbf{I} \mathbf{J} \mathbf{K} \mathbf{L} \mathbf{M} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathbf{N} \mathbf{O} \mathbf{P} \mathbf{Q} \mathbf{R} \mathbf{S} \mathbf{T}</nowiki></code> | |||
|<math>\mathbf{N} \mathbf{O} \mathbf{P} \mathbf{Q} \mathbf{R} \mathbf{S} \mathbf{T} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathbf{U} \mathbf{V} \mathbf{W} \mathbf{X} \mathbf{Y} \mathbf{Z}</nowiki></code> | |||
|<math>\mathbf{U} \mathbf{V} \mathbf{W} \mathbf{X} \mathbf{Y} \mathbf{Z} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathbf{a} \mathbf{b} \mathbf{c} \mathbf{d} \mathbf{e} \mathbf{f} \mathbf{g}</nowiki></code> | |||
|<math>\mathbf{a} \mathbf{b} \mathbf{c} \mathbf{d} \mathbf{e} \mathbf{f} \mathbf{g} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathbf{h} \mathbf{i} \mathbf{j} \mathbf{k} \mathbf{l} \mathbf{m}</nowiki></code> | |||
|<math>\mathbf{h} \mathbf{i} \mathbf{j} \mathbf{k} \mathbf{l} \mathbf{m} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathbf{n} \mathbf{o} \mathbf{p} \mathbf{q} \mathbf{r} \mathbf{s} \mathbf{t}</nowiki></code> | |||
|<math>\mathbf{n} \mathbf{o} \mathbf{p} \mathbf{q} \mathbf{r} \mathbf{s} \mathbf{t} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathbf{u} \mathbf{v} \mathbf{w} \mathbf{x} \mathbf{y} \mathbf{z}</nowiki></code> | |||
|<math>\mathbf{u} \mathbf{v} \mathbf{w} \mathbf{x} \mathbf{y} \mathbf{z} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathbf{0} \mathbf{1} \mathbf{2} \mathbf{3} \mathbf{4}</nowiki></code> | |||
|<math>\mathbf{0} \mathbf{1} \mathbf{2} \mathbf{3} \mathbf{4} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathbf{5} \mathbf{6} \mathbf{7} \mathbf{8} \mathbf{9}</nowiki></code> | |||
|<math>\mathbf{5} \mathbf{6} \mathbf{7} \mathbf{8} \mathbf{9}\,\!</math> | |||
|- | |||
! colspan="2" | Boldface (greek) | |||
|- | |||
|<code><nowiki>\boldsymbol{\Alpha} \boldsymbol{\Beta} \boldsymbol{\Gamma} \boldsymbol{\Delta} \boldsymbol{\Epsilon} \boldsymbol{\Zeta}</nowiki></code> | |||
|<math>\boldsymbol{\Alpha} \boldsymbol{\Beta} \boldsymbol{\Gamma} \boldsymbol{\Delta} \boldsymbol{\Epsilon} \boldsymbol{\Zeta} \,\!</math> | |||
|- | |||
|<code><nowiki>\boldsymbol{\Eta} \boldsymbol{\Theta} \boldsymbol{\Iota} \boldsymbol{\Kappa} \boldsymbol{\Lambda} \boldsymbol{\Mu}</nowiki></code> | |||
|<math>\boldsymbol{\Eta} \boldsymbol{\Theta} \boldsymbol{\Iota} \boldsymbol{\Kappa} \boldsymbol{\Lambda} \boldsymbol{\Mu}\,\!</math> | |||
|- | |||
|<code><nowiki>\boldsymbol{\Nu} \boldsymbol{\Xi} \boldsymbol{\Pi} \boldsymbol{\Rho} \boldsymbol{\Sigma} \boldsymbol{\Tau}</nowiki></code> | |||
|<math>\boldsymbol{\Nu} \boldsymbol{\Xi} \boldsymbol{\Pi} \boldsymbol{\Rho} \boldsymbol{\Sigma} \boldsymbol{\Tau}\,\!</math> | |||
|- | |||
|<code><nowiki>\boldsymbol{\Upsilon} \boldsymbol{\Phi} \boldsymbol{\Chi} \boldsymbol{\Psi} \boldsymbol{\Omega}</nowiki></code> | |||
|<math>\boldsymbol{\Upsilon} \boldsymbol{\Phi} \boldsymbol{\Chi} \boldsymbol{\Psi} \boldsymbol{\Omega}\,\!</math> | |||
|- | |||
|<code><nowiki>\boldsymbol{\alpha} \boldsymbol{\beta} \boldsymbol{\gamma} \boldsymbol{\delta} \boldsymbol{\epsilon} \boldsymbol{\zeta}</nowiki></code> | |||
|<math>\boldsymbol{\alpha} \boldsymbol{\beta} \boldsymbol{\gamma} \boldsymbol{\delta} \boldsymbol{\epsilon} \boldsymbol{\zeta}\,\!</math> | |||
|- | |||
|<code><nowiki>\boldsymbol{\eta} \boldsymbol{\theta} \boldsymbol{\iota} \boldsymbol{\kappa} \boldsymbol{\lambda} \boldsymbol{\mu}</nowiki></code> | |||
|<math>\boldsymbol{\eta} \boldsymbol{\theta} \boldsymbol{\iota} \boldsymbol{\kappa} \boldsymbol{\lambda} \boldsymbol{\mu}\,\!</math> | |||
|- | |||
|<code><nowiki>\boldsymbol{\nu} \boldsymbol{\xi} \boldsymbol{\pi} \boldsymbol{\rho} \boldsymbol{\sigma} \boldsymbol{\tau}</nowiki></code> | |||
|<math>\boldsymbol{\nu} \boldsymbol{\xi} \boldsymbol{\pi} \boldsymbol{\rho} \boldsymbol{\sigma} \boldsymbol{\tau}\,\!</math> | |||
|- | |||
|<code><nowiki>\boldsymbol{\upsilon} \boldsymbol{\phi} \boldsymbol{\chi} \boldsymbol{\psi} \boldsymbol{\omega}</nowiki></code> | |||
|<math>\boldsymbol{\upsilon} \boldsymbol{\phi} \boldsymbol{\chi} \boldsymbol{\psi} \boldsymbol{\omega}\,\!</math> | |||
|- | |||
|<code><nowiki>\boldsymbol{\varepsilon} \boldsymbol{\digamma} \boldsymbol{\vartheta} \boldsymbol{\varkappa}</nowiki></code> | |||
|<math>\boldsymbol{\varepsilon} \boldsymbol{\digamma} \boldsymbol{\vartheta} \boldsymbol{\varkappa} \,\!</math> | |||
|- | |||
|<code><nowiki>\boldsymbol{\varpi} \boldsymbol{\varrho} \boldsymbol{\varsigma} \boldsymbol{\varphi}</nowiki></code> | |||
|<math>\boldsymbol{\varpi} \boldsymbol{\varrho} \boldsymbol{\varsigma} \boldsymbol{\varphi}\,\!</math> | |||
|- | |||
! colspan="2" | Italics | |||
|- | |||
|<code><nowiki>\mathit{A} \mathit{B} \mathit{C} \mathit{D} \mathit{E} \mathit{F} \mathit{G}</nowiki></code> | |||
|<math>\mathit{A} \mathit{B} \mathit{C} \mathit{D} \mathit{E} \mathit{F} \mathit{G} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathit{H} \mathit{I} \mathit{J} \mathit{K} \mathit{L} \mathit{M}</nowiki></code> | |||
|<math>\mathit{H} \mathit{I} \mathit{J} \mathit{K} \mathit{L} \mathit{M} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathit{N} \mathit{O} \mathit{P} \mathit{Q} \mathit{R} \mathit{S} \mathit{T}</nowiki></code> | |||
|<math>\mathit{N} \mathit{O} \mathit{P} \mathit{Q} \mathit{R} \mathit{S} \mathit{T} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathit{U} \mathit{V} \mathit{W} \mathit{X} \mathit{Y} \mathit{Z}</nowiki></code> | |||
|<math>\mathit{U} \mathit{V} \mathit{W} \mathit{X} \mathit{Y} \mathit{Z} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathit{a} \mathit{b} \mathit{c} \mathit{d} \mathit{e} \mathit{f} \mathit{g}</nowiki></code> | |||
|<math>\mathit{a} \mathit{b} \mathit{c} \mathit{d} \mathit{e} \mathit{f} \mathit{g} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathit{h} \mathit{i} \mathit{j} \mathit{k} \mathit{l} \mathit{m}</nowiki></code> | |||
|<math>\mathit{h} \mathit{i} \mathit{j} \mathit{k} \mathit{l} \mathit{m} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathit{n} \mathit{o} \mathit{p} \mathit{q} \mathit{r} \mathit{s} \mathit{t}</nowiki></code> | |||
|<math>\mathit{n} \mathit{o} \mathit{p} \mathit{q} \mathit{r} \mathit{s} \mathit{t} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathit{u} \mathit{v} \mathit{w} \mathit{x} \mathit{y} \mathit{z}</nowiki></code> | |||
|<math>\mathit{u} \mathit{v} \mathit{w} \mathit{x} \mathit{y} \mathit{z} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathit{0} \mathit{1} \mathit{2} \mathit{3} \mathit{4}</nowiki></code> | |||
|<math>\mathit{0} \mathit{1} \mathit{2} \mathit{3} \mathit{4} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathit{5} \mathit{6} \mathit{7} \mathit{8} \mathit{9}</nowiki></code> | |||
|<math>\mathit{5} \mathit{6} \mathit{7} \mathit{8} \mathit{9}\,\!</math> | |||
|- | |||
! colspan="2" | Roman typeface | |||
|- | |||
|<code><nowiki>\mathrm{A} \mathrm{B} \mathrm{C} \mathrm{D} \mathrm{E} \mathrm{F} \mathrm{G}</nowiki></code> | |||
|<math>\mathrm{A} \mathrm{B} \mathrm{C} \mathrm{D} \mathrm{E} \mathrm{F} \mathrm{G} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathrm{H} \mathrm{I} \mathrm{J} \mathrm{K} \mathrm{L} \mathrm{M}</nowiki></code> | |||
|<math>\mathrm{H} \mathrm{I} \mathrm{J} \mathrm{K} \mathrm{L} \mathrm{M} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathrm{N} \mathrm{O} \mathrm{P} \mathrm{Q} \mathrm{R} \mathrm{S} \mathrm{T}</nowiki></code> | |||
|<math>\mathrm{N} \mathrm{O} \mathrm{P} \mathrm{Q} \mathrm{R} \mathrm{S} \mathrm{T} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathrm{U} \mathrm{V} \mathrm{W} \mathrm{X} \mathrm{Y} \mathrm{Z}</nowiki></code> | |||
|<math>\mathrm{U} \mathrm{V} \mathrm{W} \mathrm{X} \mathrm{Y} \mathrm{Z} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathrm{a} \mathrm{b} \mathrm{c} \mathrm{d} \mathrm{e} \mathrm{f} \mathrm{g}</nowiki></code> | |||
|<math>\mathrm{a} \mathrm{b} \mathrm{c} \mathrm{d} \mathrm{e} \mathrm{f} \mathrm{g}\,\!</math> | |||
|- | |||
|<code><nowiki>\mathrm{h} \mathrm{i} \mathrm{j} \mathrm{k} \mathrm{l} \mathrm{m}</nowiki></code> | |||
|<math>\mathrm{h} \mathrm{i} \mathrm{j} \mathrm{k} \mathrm{l} \mathrm{m} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathrm{n} \mathrm{o} \mathrm{p} \mathrm{q} \mathrm{r} \mathrm{s} \mathrm{t}</nowiki></code> | |||
|<math>\mathrm{n} \mathrm{o} \mathrm{p} \mathrm{q} \mathrm{r} \mathrm{s} \mathrm{t} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathrm{u} \mathrm{v} \mathrm{w} \mathrm{x} \mathrm{y} \mathrm{z}</nowiki></code> | |||
|<math>\mathrm{u} \mathrm{v} \mathrm{w} \mathrm{x} \mathrm{y} \mathrm{z} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathrm{0} \mathrm{1} \mathrm{2} \mathrm{3} \mathrm{4}</nowiki></code> | |||
|<math>\mathrm{0} \mathrm{1} \mathrm{2} \mathrm{3} \mathrm{4} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathrm{5} \mathrm{6} \mathrm{7} \mathrm{8} \mathrm{9}</nowiki></code> | |||
|<math>\mathrm{5} \mathrm{6} \mathrm{7} \mathrm{8} \mathrm{9}\,\!</math> | |||
|- | |||
! colspan="2" | Fraktur typeface | |||
|- | |||
|<code><nowiki>\mathfrak{A} \mathfrak{B} \mathfrak{C} \mathfrak{D} \mathfrak{E} \mathfrak{F} \mathfrak{G}</nowiki></code> | |||
|<math>\mathfrak{A} \mathfrak{B} \mathfrak{C} \mathfrak{D} \mathfrak{E} \mathfrak{F} \mathfrak{G} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathfrak{H} \mathfrak{I} \mathfrak{J} \mathfrak{K} \mathfrak{L} \mathfrak{M}</nowiki></code> | |||
|<math>\mathfrak{H} \mathfrak{I} \mathfrak{J} \mathfrak{K} \mathfrak{L} \mathfrak{M} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathfrak{N} \mathfrak{O} \mathfrak{P} \mathfrak{Q} \mathfrak{R} \mathfrak{S} \mathfrak{T}</nowiki></code> | |||
|<math>\mathfrak{N} \mathfrak{O} \mathfrak{P} \mathfrak{Q} \mathfrak{R} \mathfrak{S} \mathfrak{T} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathfrak{U} \mathfrak{V} \mathfrak{W} \mathfrak{X} \mathfrak{Y} \mathfrak{Z}</nowiki></code> | |||
|<math>\mathfrak{U} \mathfrak{V} \mathfrak{W} \mathfrak{X} \mathfrak{Y} \mathfrak{Z} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathfrak{a} \mathfrak{b} \mathfrak{c} \mathfrak{d} \mathfrak{e} \mathfrak{f} \mathfrak{g}</nowiki></code> | |||
|<math>\mathfrak{a} \mathfrak{b} \mathfrak{c} \mathfrak{d} \mathfrak{e} \mathfrak{f} \mathfrak{g} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathfrak{h} \mathfrak{i} \mathfrak{j} \mathfrak{k} \mathfrak{l} \mathfrak{m}</nowiki></code> | |||
|<math>\mathfrak{h} \mathfrak{i} \mathfrak{j} \mathfrak{k} \mathfrak{l} \mathfrak{m} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathfrak{n} \mathfrak{o} \mathfrak{p} \mathfrak{q} \mathfrak{r} \mathfrak{s} \mathfrak{t}</nowiki></code> | |||
|<math>\mathfrak{n} \mathfrak{o} \mathfrak{p} \mathfrak{q} \mathfrak{r} \mathfrak{s} \mathfrak{t} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathfrak{u} \mathfrak{v} \mathfrak{w} \mathfrak{x} \mathfrak{y} \mathfrak{z}</nowiki></code> | |||
|<math>\mathfrak{u} \mathfrak{v} \mathfrak{w} \mathfrak{x} \mathfrak{y} \mathfrak{z} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathfrak{0} \mathfrak{1} \mathfrak{2} \mathfrak{3} \mathfrak{4}</nowiki></code> | |||
|<math>\mathfrak{0} \mathfrak{1} \mathfrak{2} \mathfrak{3} \mathfrak{4} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathfrak{5} \mathfrak{6} \mathfrak{7} \mathfrak{8} \mathfrak{9}</nowiki></code> | |||
|<math>\mathfrak{5} \mathfrak{6} \mathfrak{7} \mathfrak{8} \mathfrak{9}\,\!</math> | |||
|- | |||
! colspan="2" | Calligraphy/Script | |||
|- | |||
|<code><nowiki>\mathcal{A} \mathcal{B} \mathcal{C} \mathcal{D} \mathcal{E} \mathcal{F} \mathcal{G}</nowiki></code> | |||
|<math>\mathcal{A} \mathcal{B} \mathcal{C} \mathcal{D} \mathcal{E} \mathcal{F} \mathcal{G} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathcal{H} \mathcal{I} \mathcal{J} \mathcal{K} \mathcal{L} \mathcal{M}</nowiki></code> | |||
|<math>\mathcal{H} \mathcal{I} \mathcal{J} \mathcal{K} \mathcal{L} \mathcal{M} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathcal{N} \mathcal{O} \mathcal{P} \mathcal{Q} \mathcal{R} \mathcal{S} \mathcal{T}</nowiki></code> | |||
|<math>\mathcal{N} \mathcal{O} \mathcal{P} \mathcal{Q} \mathcal{R} \mathcal{S} \mathcal{T} \,\!</math> | |||
|- | |||
|<code><nowiki>\mathcal{U} \mathcal{V} \mathcal{W} \mathcal{X} \mathcal{Y} \mathcal{Z}</nowiki></code> | |||
|<math>\mathcal{U} \mathcal{V} \mathcal{W} \mathcal{X} \mathcal{Y} \mathcal{Z}\,\!</math> | |||
|- | |||
! colspan="2" | Hebrew | |||
|- | |||
|<code><nowiki>\aleph \beth \gimel \daleth</nowiki></code> | |||
|<math>\aleph \beth \gimel \daleth\,\!</math> | |||
|} | |||
<table class="wikitable"> | |||
<tr> | |||
<th>Feature</th> | |||
<th>Syntax</th> | |||
<th colspan="2">How it looks rendered</th> | |||
</tr> | |||
<tr> | |||
<td>non-italicised characters</td> | |||
<td>\mbox{abc}</td> | |||
<td><math>\mbox{abc}</math></td> | |||
<td><math>\mbox{abc} \,\!</math></td> | |||
</tr> | |||
<tr> | |||
<td>mixed italics (bad)</td> | |||
<td>\mbox{if} n \mbox{is even}</td> | |||
<td><math>\mbox{if} n \mbox{is even}</math></td> | |||
<td><math>\mbox{if} n \mbox{is even} \,\!</math></td> | |||
</tr> | |||
<tr> | |||
<td>mixed italics (good)</td> | |||
<td>\mbox{if }n\mbox{ is even}</td> | |||
<td><math>\mbox{if }n\mbox{ is even}</math></td> | |||
<td><math>\mbox{if }n\mbox{ is even} \,\!</math></td> | |||
</tr> | |||
<tr> | |||
<td>mixed italics (more legible: ~ is a non-breaking space, while "\ " forces a space)</td> | |||
<td>\mbox{if}~n\ \mbox{is even}</td> | |||
<td><math>\mbox{if}~n\ \mbox{is even}</math></td> | |||
<td><math>\mbox{if}~n\ \mbox{is even} \,\!</math></td> | |||
</tr> | |||
</table> | |||
== Color == | |||
Equations can use color: | |||
*<code>{\color{Blue}x^2}+{\color{YellowOrange}2x}-{\color{OliveGreen}1}</code> | |||
*:<math>{\color{Blue}x^2}+{\color{YellowOrange}2x}-{\color{OliveGreen}1}</math> | |||
*<code>x_{1,2}=\frac{-b\pm\sqrt{\color{Red}b^2-4ac}}{2a}</code> | |||
*:<math>x_{1,2}=\frac{-b\pm\sqrt{\color{Red}b^2-4ac}}{2a}</math> | |||
See here for [http://oregonstate.edu/%7Epeterseb/tex/samples/docs/color-package-demo.pdf all named colors] supported by LaTeX. | |||
Note that color should not be used as the ''only'' way to identify something, because it will become meaningless on black-and-white media or for color-blind people. See [[en:Wikipedia:Manual of Style#Color coding]]. | |||
== Formatting issues == | |||
=== Spacing === | |||
Note that TeX handles most spacing automatically, but you may sometimes want manual control. | |||
<table border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;"> | |||
<tr> | |||
<th>Feature</th> | |||
<th>Syntax</th> | |||
<th>How it looks rendered</th> | |||
</tr> | |||
<tr> | |||
<td>double quad space</td> | |||
<td>a \qquad b</td> | |||
<td><math>a \qquad b</math></td> | |||
</tr> | |||
<tr> | |||
<td>quad space</td> | |||
<td>a \quad b</td> | |||
<td><math>a \quad b</math></td> | |||
</tr> | |||
<tr> | |||
<td>text space</td> | |||
<td>a\ b</td> | |||
<td><math>a\ b</math></td> | |||
</tr> | |||
<tr> | |||
<td>text space without PNG conversion</td> | |||
<td>a \mbox{ } b</td> | |||
<td><math>a \mbox{ } b</math></td> | |||
</tr> | |||
<tr> | |||
<td>large space</td> | |||
<td>a\;b</td> | |||
<td><math>a\;b</math></td> | |||
</tr> | |||
<tr> | |||
<td>medium space</td> | |||
<td>a\>b</td> | |||
<td>[not supported]</td> | |||
</tr> | |||
<tr> | |||
<td>small space</td> | |||
<td>a\,b</td> | |||
<td><math>a\,b</math></td> | |||
</tr> | |||
<tr> | |||
<td>no space</td> | |||
<td>ab</td> | |||
<td><math>ab\,</math></td> | |||
</tr> | |||
<tr> | |||
<td>small negative space</td> | |||
<td>a\!b</td> | |||
<td><math>a\!b</math></td> | |||
</tr> | |||
</table> | |||
=== Alignment with normal text flow === | |||
Due to the default css | |||
<pre>img.tex { vertical-align: middle; }</pre> | |||
an inline expression like <math>\int_{-N}^{N} e^x\, dx</math> should look good. | |||
If you need to align it otherwise, use <code><nowiki><math style="vertical-align:-100%;">...</math></nowiki></code> and play with the <code>vertical-align</code> argument until you get it right; however, how it looks may depend on the browser and the browser settings. | |||
Also note that if you rely on this workaround, if/when the rendering on the server gets fixed in future releases, as a result of this extra manual offset your formulae will suddenly be aligned incorrectly. So use it sparingly, if at all. | |||
=== Forced PNG rendering === | |||
To force the formula to render as PNG, add <code>\,</code> (small space) at the end of the formula (where it is not rendered). This will force PNG if the user is in "HTML if simple" mode, but not for "HTML if possible" mode. | |||
You can also use <code>\,\!</code> (small space and negative space, which cancel out) anywhere inside the math tags. This ''does'' force PNG even in "HTML if possible" mode, unlike <code>\,</code>. | |||
This could be useful to keep the rendering of formulae in a proof consistent, for example, or to fix formulae that render incorrectly in HTML (at one time, a^{2+2} rendered with an extra underscore), or to demonstrate how something is rendered when it would normally show up as HTML (as in the examples above). | |||
For instance: | |||
<table border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;"> | |||
<tr> | |||
<th>Syntax</th> | |||
<th>How it looks rendered</th> | |||
</tr> | |||
<tr> | |||
<td>a^{c+2}</td> | |||
<td><math>a^{c+2}</math></td> | |||
</tr> | |||
<tr> | |||
<td>a^{c+2} \,</td> | |||
<td><math>a^{c+2} \,</math></td> | |||
</tr> | |||
<tr> | |||
<td>a^{\,\!c+2}</td> | |||
<td><math>a^{\,\!c+2}</math> </td> | |||
</tr> | |||
<tr> | |||
<td>a^{b^{c+2}}</td> | |||
<td><math>a^{b^{c+2}}</math> (WRONG with option "HTML if possible or else PNG"!)</td> | |||
</tr> | |||
<tr> | |||
<td>a^{b^{c+2}} \,</td> | |||
<td><math>a^{b^{c+2}} \,</math> (WRONG with option "HTML if possible or else PNG"!)</td> | |||
</tr> | |||
<tr> | |||
<td>a^{b^{c+2}}\approx 5</td> | |||
<td><math>a^{b^{c+2}}\approx 5</math> (due to "<math>\approx</math>" correctly displayed, no code "\,\!" needed)</td> | |||
</tr> | |||
<tr> | |||
<td>a^{b^{\,\!c+2}}</td> | |||
<td><math>a^{b^{\,\!c+2}}</math></td> | |||
</tr> | |||
<tr> | |||
<td>\int_{-N}^{N} e^x\, dx</td> | |||
<td><math>\int_{-N}^{N} e^x\, dx</math></td> | |||
</tr> | |||
</table> | |||
This has been tested with most of the formulae on this page, and seems to work perfectly. | |||
You might want to include a comment in the HTML so people don't "correct" the formula by removing it: | |||
:''<nowiki><!-- The \,\! is to keep the formula rendered as PNG instead of HTML. Please don't remove it.--></nowiki>'' | |||
== Examples == | |||
<center> | |||
===Quadratic Polynomial=== | |||
<math>ax^2 + bx + c = 0</math> | |||
<nowiki><math>ax^2 + bx + c = 0</math></nowiki> | |||
===Quadratic Polynomial (Force PNG Rendering)=== | |||
<math>ax^2 + bx + c = 0\,\!</math> | |||
<nowiki><math>ax^2 + bx + c = 0\,\!</math></nowiki> | |||
===Quadratic Formula=== | |||
<math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math> | |||
<nowiki><math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math></nowiki> | |||
===Tall Parentheses and Fractions === | |||
<math>2 = \left( \frac{\left(3-x\right) \times 2}{3-x} \right)</math> | |||
<nowiki><math>2 = \left( | |||
\frac{\left(3-x\right) \times 2}{3-x} | |||
\right)</math></nowiki> | |||
<math>S_{\text{new}} = S_{\text{old}} - \frac{ \left( 5-T \right) ^2} {2}</math> | |||
<nowiki> | |||
<math>S_{\text{new}} = S_{\text{old}} - \frac{ \left( 5-T \right) ^2} {2}</math> | |||
</nowiki> | |||
===Integrals=== | |||
<math>\int_a^x \!\!\!\int_a^s f(y)\,dy\,ds = \int_a^x f(y)(x-y)\,dy</math> | |||
<nowiki><math>\int_a^x \!\!\!\int_a^s f(y)\,dy\,ds | |||
= \int_a^x f(y)(x-y)\,dy</math></nowiki> | |||
===Summation=== | |||
<math>\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n}{3^m\left(m\,3^n+n\,3^m\right)}</math> | |||
<nowiki><math>\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n} | |||
{3^m\left(m\,3^n+n\,3^m\right)}</math></nowiki> | |||
=== Differential Equation === | |||
<math>u'' + p(x)u' + q(x)u=f(x),\quad x>a</math> | |||
<nowiki><math>u'' + p(x)u' + q(x)u=f(x),\quad x>a</math></nowiki> | |||
===Complex numbers=== | |||
<math>|\bar{z}| = |z|, |(\bar{z})^n| = |z|^n, \arg(z^n) = n \arg(z)</math> | |||
<nowiki><math>|\bar{z}| = |z|, | |||
|(\bar{z})^n| = |z|^n, | |||
\arg(z^n) = n \arg(z)</math></nowiki> | |||
===Limits=== | |||
<math>\lim_{z\rightarrow z_0} f(z)=f(z_0)</math> | |||
<nowiki><math>\lim_{z\rightarrow z_0} f(z)=f(z_0)</math></nowiki> | |||
===Integral Equation=== | |||
<math>\phi_n(\kappa) | |||
= \frac{1}{4\pi^2\kappa^2} \int_0^\infty \frac{\sin(\kappa R)}{\kappa R} \frac{\partial}{\partial R} \left[R^2\frac{\partial D_n(R)}{\partial R}\right]\,dR</math> | |||
<nowiki><math>\phi_n(\kappa) = | |||
\frac{1}{4\pi^2\kappa^2} \int_0^\infty | |||
\frac{\sin(\kappa R)}{\kappa R} | |||
\frac{\partial}{\partial R} | |||
\left[R^2\frac{\partial D_n(R)}{\partial R}\right]\,dR</math></nowiki> | |||
===Example=== | |||
<math>\phi_n(\kappa) = 0.033C_n^2\kappa^{-11/3},\quad \frac{1}{L_0}\ll\kappa\ll\frac{1}{l_0}</math> | |||
<nowiki><math>\phi_n(\kappa) = | |||
0.033C_n^2\kappa^{-11/3},\quad | |||
\frac{1}{L_0}\ll\kappa\ll\frac{1}{l_0}</math></nowiki> | |||
===Continuation and cases=== | |||
<math>f(x) = \begin{cases}1 & -1 \le x < 0 \\ | |||
\frac{1}{2} & x = 0 \\ 1 - x^2 & \mbox{otherwise}\end{cases}</math> | |||
<nowiki><math> | |||
f(x) = | |||
\begin{cases} | |||
1 & -1 \le x < 0 \\ | |||
\frac{1}{2} & x = 0 \\ | |||
1 - x^2 & \mbox{otherwise} | |||
\end{cases} | |||
</math></nowiki> | |||
===Prefixed subscript=== | |||
<math>{}_pF_q(a_1,\dots,a_p;c_1,\dots,c_q;z) = \sum_{n=0}^\infty \frac{(a_1)_n\cdots(a_p)_n}{(c_1)_n\cdots(c_q)_n}\frac{z^n}{n!}</math> | |||
<nowiki> <math>{}_pF_q(a_1,\dots,a_p;c_1,\dots,c_q;z) | |||
= \sum_{n=0}^\infty | |||
\frac{(a_1)_n\cdots(a_p)_n}{(c_1)_n\cdots(c_q)_n} | |||
\frac{z^n}{n!}</math></nowiki> | |||
===Fraction and small fraction=== | |||
<math> \frac {a}{b}</math>   <math> \tfrac {a}{b} </math> | |||
<nowiki><math> \frac {a}{b}\ \tfrac {a}{b} </math></nowiki> | |||
</center> | |||
===Unicode vs TeX comparison=== | |||
<table border="0" cellpadding="0" cellspacing="0" style="width: 255pt; border-collapse: collapse;" width="340"> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; width: 48pt; height: 12.75pt; background-color: transparent;" width="64">unicode</td> | |||
<td style="border: medium none #f0f0f0; width: 104pt; background-color: transparent;" width="139">TeX</td> | |||
<td style="border: medium none #f0f0f0; width: 103pt; background-color: transparent;" width="137">See</td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⟦</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">[\![</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>[\![</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">{</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\{</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\{</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∥</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\|</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\|</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">}</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\}</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\}</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">ℵ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\aleph</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\aleph</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">α</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\alpha</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\alpha</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⨿</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\amalg</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\amalg</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∠</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\angle</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\angle</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≈</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\approx</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\approx</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∗</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\ast</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\ast</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≍</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\asymp</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\asymp</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">\</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\backslash</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\backslash</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">β</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\beta</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\beta</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⋂</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\bigcap</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\bigcap</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">◯</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\bigcirc</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\bigcirc</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⋃</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\bigcup</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\bigcup</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⨀</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\bigodot</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\bigodot</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⨁</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\bigoplus</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\bigoplus</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⨂</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\bigotimes</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\bigotimes</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⨆</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\bigsqcup</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\bigsqcup</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">▽</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\bigtriangledown</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\bigtriangledown</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">△</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\bigtriangleup</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\bigtriangleup</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⨄</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\biguplus</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\biguplus</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⋀</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\bigwedge</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\bigwedge</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⋁</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\bigvee</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\bigvee</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊥</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\bot</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\bot</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⋈</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\bowtie</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\bowtie</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">□</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Box</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Box</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∙</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\bullet</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\bullet</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∩</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\cap</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\cap</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⋅</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\cdot</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\cdot</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⋯</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\cdots</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\cdots</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">χ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\chi</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\chi</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∘</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\circ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\circ</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">♣</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\clubsuit</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\clubsuit</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≅</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\cong</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\cong</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∐</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\coprod</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\coprod</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∪</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\cup</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\cup</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">†</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\dagger</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\dagger</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊣</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\dashv</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\dashv</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">‡</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\ddagger</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\ddagger</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⋱</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\ddots</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\ddots</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">δ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\delta</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\delta</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">Δ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Delta</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Delta</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">◇</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Diamond</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Diamond</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⋄</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\diamond</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\diamond</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">♢</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\diamondsuit</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\diamondsuit</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">÷</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\div</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\div</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≐</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\doteq</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\doteq</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">↓</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\downarrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\downarrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⇓</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Downarrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Downarrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">ℓ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\ell</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\ell</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∅</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\emptyset</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\emptyset</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">ϵ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\epsilon</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\epsilon</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≡</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\equiv</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\equiv</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">η</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\eta</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\eta</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∃</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\exists</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\exists</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">♭</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\flat</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\flat</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∀</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\forall</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\forall</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⌢</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\frown</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\frown</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">γ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\gamma</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\gamma</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">Γ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Gamma</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Gamma</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≥</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\ge</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\ge</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≥</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\geq</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\geq</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">←</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\gets</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\gets</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≫</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\gg</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\gg</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">ℏ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\hbar</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\hbar</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">♡</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\heartsuit</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\heartsuit</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">↩</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\hookleftarrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\hookleftarrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">↪</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\hookrightarrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\hookrightarrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">ℑ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Im</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Im</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">ı</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\imath</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\imath</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∈</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\in</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\in</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∞</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\infty</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\infty</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∫</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\int</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\int</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">ι</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\iota</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\iota</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">j</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\jmath</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\jmath</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">κ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\kappa</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\kappa</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">λ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\lambda</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\lambda</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">Λ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Lambda</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Lambda</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∧</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\land</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\land</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⟨</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\langle</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\langle</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⟪</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\langle\!\langle</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\langle\!\langle</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">{</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\lbrace</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\lbrace</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">[</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\lbrack</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\lbrack</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⌈</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\lceil</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\lceil</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≤</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\le</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\le</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⇐</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Leftarrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Leftarrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">←</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\leftarrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\leftarrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">↽</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\leftharpoondown</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\leftharpoondown</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">↼</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\leftharpoonup</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\leftharpoonup</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">↔</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\leftrightarrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\leftrightarrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⇔</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Leftrightarrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Leftrightarrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≤</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\leq</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\leq</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⌊</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\lfloor</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\lfloor</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≪</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\ll</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\ll</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">¬</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\lnot</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\lnot</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⟸</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Longleftarrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Longleftarrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⟵</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\longleftarrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\longleftarrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⟺</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Longleftrightarrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Longleftrightarrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⟷</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\longleftrightarrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\longleftrightarrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⟼</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\longmapsto</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\longmapsto</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⟹</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Longrightarrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Longrightarrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⟶</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\longrightarrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\longrightarrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∨</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\lor</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\lor</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">↦</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\mapsto</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\mapsto</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∣</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\mid</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\mid</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊨</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\models</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\models</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∓</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\mp</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\mp</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">μ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\mu</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\mu</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∇</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\nabla</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\nabla</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">♮</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\natural</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\natural</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≠</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\ne</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\ne</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">↗</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\nearrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\nearrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">¬</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\neg</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\neg</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≠</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\neq</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\neq</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∋</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\ni</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\ni</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≉</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\not\approx</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\not\approx</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≭</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\not\asymp</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\not\asymp</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≇</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\not\cong</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\not\cong</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≢</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\not\equiv</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\not\equiv</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≱</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\not\geq</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\not\geq</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≰</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\not\leq</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\not\leq</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊀</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\not\prec</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\not\prec</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⋠</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\not\preceq</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\not\preceq</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≁</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\not\sim</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\not\sim</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≄</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\not\simeq</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\not\simeq</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⋢</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\not\sqsubseteq</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\not\sqsubseteq</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⋣</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\not\sqsupseteq</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\not\sqsupseteq</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊄</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\not\subset</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\not\subset</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊈</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\not\subseteq</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\not\subseteq</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊁</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\not\succ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\not\succ</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⋡</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\not\succeq</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\not\succeq</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊅</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\not\supset</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\not\supset</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊉</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\not\supseteq</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\not\supseteq</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≠</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\not=</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\not=</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">ν</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\nu</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\nu</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">↖</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\nwarrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\nwarrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊙</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\odot</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\odot</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∮</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\oint</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\oint</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">ω</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\omega</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\omega</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">Ω</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Omega</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Omega</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊖</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\ominus</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\ominus</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊕</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\oplus</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\oplus</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊘</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\oslash</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\oslash</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊗</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\otimes</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\otimes</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∥</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\parallel</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\parallel</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∂</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\partial</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\partial</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊥</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\perp</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\perp</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">ϕ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\phi</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\phi</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">Φ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Phi</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Phi</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">π</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\pi</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\pi</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">Π</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Pi</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Pi</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">±</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\pm</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\pm</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≺</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\prec</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\prec</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≼</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\preceq</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\preceq</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">′</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\prime</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\prime</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∏</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\prod</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\prod</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∝</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\propto</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\propto</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">ψ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\psi</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\psi</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">Ψ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Psi</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Psi</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⟩</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\rangle</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\rangle</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⟫</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\rangle\!\rangle</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\rangle\!\rangle</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">}</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\rbrace</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\rbrace</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">]</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\rbrack</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\rbrack</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⌉</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\rceil</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\rceil</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">ℜ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Re</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Re</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⌋</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\rfloor</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\rfloor</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">ρ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\rho</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\rho</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">→</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\rightarrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\rightarrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⇒</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Rightarrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Rightarrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⇁</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\rightharpoondown</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\rightharpoondown</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⇀</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\rightharpoonup</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\rightharpoonup</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⇌</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\rightleftharpoons</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\rightleftharpoons</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">↘</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\searrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\searrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∖</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\setminus</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\setminus</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">♯</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\sharp</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\sharp</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">σ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\sigma</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\sigma</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">Σ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Sigma</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Sigma</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∼</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\sim</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\sim</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≃</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\simeq</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\simeq</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⌣</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\smile</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\smile</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">♠</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\spadesuit</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\spadesuit</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊓</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\sqcap</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\sqcap</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊔</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\sqcup</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\sqcup</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊏</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\sqsubset</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\sqsubset</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊑</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\sqsubseteq</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\sqsubseteq</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊐</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\sqsupset</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\sqsupset</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊒</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\sqsupseteq</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\sqsupseteq</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⋆</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\star</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\star</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊂</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\subset</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\subset</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊆</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\subseteq</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\subseteq</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≻</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\succ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\succ</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≽</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\succeq</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\succeq</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∑</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\sum</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\sum</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊃</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\supset</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\supset</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊇</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\supseteq</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\supseteq</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">√</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\surd</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\surd</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">↙</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\swarrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\swarrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">τ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\tau</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\tau</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">θ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\theta</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\theta</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">Θ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Theta</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Theta</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">×</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\times</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\times</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">→</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\to</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\to</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊤</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\top</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\top</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">△</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\triangle</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\triangle</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">◁</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\triangleleft</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\triangleleft</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">▷</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\triangleright</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\triangleright</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">↑</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\uparrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\uparrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⇑</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Uparrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Uparrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">↕</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\updownarrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\updownarrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⇕</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Updownarrow</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Updownarrow</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊎</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\uplus</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\uplus</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">υ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\upsilon</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\upsilon</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">Υ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Upsilon</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Upsilon</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">ε</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\varepsilon</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\varepsilon</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">φ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\varphi</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\varphi</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">ϖ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\varpi</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\varpi</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">ϱ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\varrho</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\varrho</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">ς</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\varsigma</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\varsigma</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">ϑ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\vartheta</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\vartheta</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⊢</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\vdash</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\vdash</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⋮</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\vdots</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\vdots</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∧</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\wedge</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\wedge</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∨</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\vee</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\vee</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∣</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\vert</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\vert</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">∥</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Vert</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Vert</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">℘</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\wp</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\wp</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">≀</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\wr</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\wr</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">ξ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\xi</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\xi</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">Ξ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\Xi</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\Xi</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">ζ</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">\zeta</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>\zeta</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">⟧</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">]\!]</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>]\!]</math></td> | |||
</tr> | |||
<tr style="height: 12.75pt;"> | |||
<td height="17" style="border: medium none #f0f0f0; height: 12.75pt; background-color: transparent;">ο</td> | |||
<td style="background-color: transparent; border: #f0f0f0;">o</td> | |||
<td style="background-color: transparent; border: #f0f0f0;"><math>o</math></td> | |||
</tr> | |||
</table> |
Revision as of 15:02, 9 March 2009
This should look like some maths:
(This page was created for the benefit of MDLSITE-649.)
Heavy test:
Functions, symbols, special characters
Accents/Diacritics | |
---|---|
\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}
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\check{a} \bar{a} \ddot{a} \dot{a}
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Standard functions | |
\sin a \cos b \tan c
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\sec d \csc e \cot f
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\arcsin h \arccos i \arctan j
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\sinh k \cosh l \tanh m \coth n\!
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\operatorname{sh}\,o\,\operatorname{ch}\,p\,\operatorname{th}\,q\!
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\operatorname{arsinh}\,r\,\operatorname{arcosh}\,s\,\operatorname{artanh}\,t
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\lim u \limsup v \liminf w \min x \max y\!
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\inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g\!
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\deg h \gcd i \Pr j \det k \hom l \arg m \dim n
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Modular arithmetic | |
s_k \equiv 0 \pmod{m}
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a\,\bmod\,b
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Derivatives | |
\nabla \, \partial x \, dx \, \dot x \, \ddot y\, dy/dx\, \frac{dy}{dx}\, \frac{\partial^2 y}{\partial x_1\,\partial x_2}
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Sets | |
\forall \exists \empty \emptyset \varnothing
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\in \ni \not \in \notin \subset \subseteq \supset \supseteq
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\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus
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\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup
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Operators | |
+ \oplus \bigoplus \pm \mp -
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\times \otimes \bigotimes \cdot \circ \bullet \bigodot
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\star * / \div \frac{1}{2}
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Logic | |
\land (or \and) \wedge \bigwedge \bar{q} \to p
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\lor \vee \bigvee \lnot \neg q \And
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Root | |
\sqrt{2} \sqrt[n]{x}
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Relations | |
\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}
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\le < \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto
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Geometric | |
\Diamond \Box \triangle \angle \perp \mid \nmid \| 45^\circ
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Arrows | |
\leftarrow (or \gets) \rightarrow (or \to) \nleftarrow \nrightarrow \leftrightarrow \nleftrightarrow \longleftarrow \longrightarrow \longleftrightarrow
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\Leftarrow \Rightarrow \nLeftarrow \nRightarrow \Leftrightarrow \nLeftrightarrow \Longleftarrow \Longrightarrow \Longleftrightarrow (or \iff)
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\uparrow \downarrow \updownarrow \Uparrow \Downarrow \Updownarrow \nearrow \searrow \swarrow \nwarrow
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\rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \leftrightharpoons
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\curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \Rrightarrow \rightarrowtail \looparrowright
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\curvearrowright \circlearrowright \Rsh \downdownarrows \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft
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\mapsto \longmapsto \hookrightarrow \hookleftarrow \multimap \leftrightsquigarrow \rightsquigarrow
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Special | |
\And \eth \S \P \% \dagger \ddagger \ldots \cdots
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\smile \frown \wr \triangleleft \triangleright \infty \bot \top
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\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar
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\ell \mho \Finv \Re \Im \wp \complement
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\diamondsuit \heartsuit \clubsuit \spadesuit \Game \flat \natural \sharp
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Unsorted (new stuff) | |
\vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown
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\blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge
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\veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes
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\rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant
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\eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq
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\fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft
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\Vvdash \bumpeq \Bumpeq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \eqsim \gtrdot
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\ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq
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\Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork
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\varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq
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\lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid
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\nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr
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\subsetneq
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\ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq
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\succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq
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\nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq
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\jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus
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\oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq
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\dashv \asymp \doteq \parallel
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\ulcorner \urcorner \llcorner \lrcorner
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Larger Expressions
Subscripts, superscripts, integrals
Feature | Syntax | How it looks rendered | |
---|---|---|---|
HTML | PNG | ||
Superscript | a^2 |
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Subscript | a_2 |
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Grouping | a^{2+2} |
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a_{i,j} |
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Combining sub & super without and with horizontal separation | x_2^3 |
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{x_2}^3 |
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Super super | 10^{10^{ \,\!{8} } |
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Super super | 10^{10^{ \overset{8}{} }} |
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Super super (wrong in HTML in some browsers) | 10^{10^8} |
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Preceding and/or Additional sub & super | \sideset{_1^2}{_3^4}\prod_a^b |
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{}_1^2\!\Omega_3^4 |
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Stacking | \overset{\alpha}{\omega} |
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\underset{\alpha}{\omega} |
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\overset{\alpha}{\underset{\gamma}{\omega}} |
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\stackrel{\alpha}{\omega} |
|||
Derivative (forced PNG) | x', y'', f', f''\! |
||
Derivative (f in italics may overlap primes in HTML) | x', y'', f', f'' |
||
Derivative (wrong in HTML) | x^\prime, y^{\prime\prime} |
||
Derivative (wrong in PNG) | x\prime, y\prime\prime |
||
Derivative dots | \dot{x}, \ddot{x} |
||
Underlines, overlines, vectors | \hat a \ \bar b \ \vec c |
||
\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f} |
|||
\overline{g h i} \ \underline{j k l} |
|||
Arrows | A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C |
||
Overbraces | \overbrace{ 1+2+\cdots+100 }^{5050} |
||
Underbraces | \underbrace{ a+b+\cdots+z }_{26} |
||
Sum | \sum_{k=1}^N k^2 |
||
Sum (force \textstyle ) |
\textstyle \sum_{k=1}^N k^2 |
||
Product | \prod_{i=1}^N x_i |
||
Product (force \textstyle ) |
\textstyle \prod_{i=1}^N x_i |
||
Coproduct | \coprod_{i=1}^N x_i |
||
Coproduct (force \textstyle ) |
\textstyle \coprod_{i=1}^N x_i |
||
Limit | \lim_{n \to \infty}x_n |
||
Limit (force \textstyle ) |
\textstyle \lim_{n \to \infty}x_n |
||
Integral | \int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx |
||
Integral (alternate limits style) | \int_{1}^{3}\frac{e^3/x}{x^2}\, dx |
||
Integral (force \textstyle ) |
\textstyle \int\limits_{-N}^{N} e^x\, dx |
||
Integral (force \textstyle , alternate limits style) |
\textstyle \int_{-N}^{N} e^x\, dx |
||
Double integral | \iint\limits_D \, dx\,dy |
||
Triple integral | \iiint\limits_E \, dx\,dy\,dz |
||
Quadruple integral | \iiiint\limits_F \, dx\,dy\,dz\,dt |
||
Line or path integral | \int_C x^3\, dx + 4y^2\, dy |
||
Closed line or path integral | \oint_C x^3\, dx + 4y^2\, dy |
||
Intersections | \bigcap_1^n p |
||
Unions | \bigcup_1^k p |
Fractions, matrices, multilines
Feature | Syntax | How it looks rendered |
---|---|---|
Fractions | \frac{2}{4}=0.5 |
|
Small Fractions | \tfrac{2}{4} = 0.5 |
|
Large (normal) Fractions | \dfrac{2}{4} = 0.5 \qquad \dfrac{2}{c + \dfrac{2}{d + \dfrac{2}{4}}} = a |
|
Large (nested) Fractions | \cfrac{2}{c + \cfrac{2}{d + \cfrac{2}{4}}} = a |
|
Binomial coefficients | \binom{n}{k} |
|
Small Binomial coefficients | \tbinom{n}{k} |
|
Large (normal) Binomial coefficients | \dbinom{n}{k} |
|
Matrices | \begin{matrix} x & y \\ z & v \end{matrix} |
|
\begin{vmatrix} x & y \\ z & v \end{vmatrix} |
||
\begin{Vmatrix} x & y \\ z & v \end{Vmatrix} |
||
\begin{bmatrix} 0 & \cdots & 0 \\ \vdots & \ddots & \vdots \\ 0 & \cdots & 0 \end{bmatrix} |
||
\begin{Bmatrix} x & y \\ z & v \end{Bmatrix} |
||
\begin{pmatrix} x & y \\ z & v \end{pmatrix} |
||
\bigl( \begin{smallmatrix} a&b\\ c&d \end{smallmatrix} \bigr) |
||
Case distinctions | f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases} |
|
Multiline equations | \begin{align} f(x) & = (a+b)^2 \\ & = a^2+2ab+b^2 \\ \end{align} |
|
\begin{alignat}{2} f(x) & = (a-b)^2 \\ & = a^2-2ab+b^2 \\ \end{alignat} |
||
Multiline equations (must define number of colums used ({lcr}) (should not be used unless needed) | \begin{array}{lcl} z & = & a \\ f(x,y,z) & = & x + y + z \end{array} |
|
Multiline equations (more) | \begin{array}{lcr} z & = & a \\ f(x,y,z) & = & x + y + z \end{array} |
|
Breaking up a long expression so that it wraps when necessary, at the expense of destroying correct spacing | <math>f(x) \,\!</math> <math>= \sum_{n=0}^\infty a_n x^n </math> <math>= a_0+a_1x+a_2x^2+\cdots</math> |
|
Simultaneous equations | \begin{cases} 3x + 5y + z \\ 7x - 2y + 4z \\ -6x + 3y + 2z \end{cases} |
|
Arrays | \begin{array}{|c|c||c|} a & b & S \\ \hline 0&0&1\\ 0&1&1\\ 1&0&1\\ 1&1&0\\ \end{array} |
Parenthesizing big expressions, brackets, bars
Feature | Syntax | How it looks rendered |
---|---|---|
Bad | ( \frac{1}{2} )
|
|
Good | \left ( \frac{1}{2} \right )
|
You can use various delimiters with \left and \right:
Feature | Syntax | How it looks rendered |
---|---|---|
Parentheses | \left ( \frac{a}{b} \right )
|
|
Brackets | \left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack
|
|
Braces | \left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace
|
|
Angle brackets | \left \langle \frac{a}{b} \right \rangle
|
|
Bars and double bars | \left | \frac{a}{b} \right \vert \left \Vert \frac{c}{d} \right \|
|
|
Floor and ceiling functions: | \left \lfloor \frac{a}{b} \right \rfloor \left \lceil \frac{c}{d} \right \rceil
|
|
Slashes and backslashes | \left / \frac{a}{b} \right \backslash
|
|
Up, down and up-down arrows | \left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow
|
|
Delimiters can be mixed, as long as \left and \right match |
\left [ 0,1 \right )</code> <br/> <code>\left \langle \psi \right |
|
|
Use \left. and \right. if you don't want a delimiter to appear: |
\left . \frac{A}{B} \right \} \to X
|
|
Size of the delimiters | \big( \Big( \bigg( \Bigg( \dots \Bigg] \bigg] \Big] \big]/ |
|
\big\{ \Big\{ \bigg\{ \Bigg\{ \dots \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle
|
||
\big\| \Big\| \bigg\| \Bigg\| \dots \Bigg| \bigg| \Big| \big|
|
||
\big\lfloor \Big\lfloor \bigg\lfloor \Bigg\lfloor \dots \Bigg\rceil \bigg\rceil \Big\rceil \big\rceil
|
||
\big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow \dots \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow
|
||
\big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow \dots \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow
|
||
\big / \Big / \bigg / \Bigg / \dots \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash
|
Alphabets and typefaces
Texvc cannot render arbitrary Unicode characters. Those it can handle can be entered by the expressions below. For others, such as Cyrillic, they can be entered as Unicode or HTML entities in running text, but cannot be used in displayed formulas.
Greek alphabet | |
---|---|
\Alpha \Beta \Gamma \Delta \Epsilon \Zeta
|
|
\Eta \Theta \Iota \Kappa \Lambda \Mu
|
|
\Nu \Xi \Pi \Rho \Sigma \Tau
|
|
\Upsilon \Phi \Chi \Psi \Omega
|
|
\alpha \beta \gamma \delta \epsilon \zeta
|
|
\eta \theta \iota \kappa \lambda \mu
|
|
\nu \xi \pi \rho \sigma \tau
|
|
\upsilon \phi \chi \psi \omega
|
|
\varepsilon \digamma \vartheta \varkappa
|
|
\varpi \varrho \varsigma \varphi
|
|
Blackboard Bold/Scripts | |
\mathbb{A} \mathbb{B} \mathbb{C} \mathbb{D} \mathbb{E} \mathbb{F} \mathbb{G}
|
|
\mathbb{H} \mathbb{I} \mathbb{J} \mathbb{K} \mathbb{L} \mathbb{M}
|
|
\mathbb{N} \mathbb{O} \mathbb{P} \mathbb{Q} \mathbb{R} \mathbb{S} \mathbb{T}
|
|
\mathbb{U} \mathbb{V} \mathbb{W} \mathbb{X} \mathbb{Y} \mathbb{Z}
|
|
boldface (vectors) | |
\mathbf{A} \mathbf{B} \mathbf{C} \mathbf{D} \mathbf{E} \mathbf{F} \mathbf{G}
|
|
\mathbf{H} \mathbf{I} \mathbf{J} \mathbf{K} \mathbf{L} \mathbf{M}
|
|
\mathbf{N} \mathbf{O} \mathbf{P} \mathbf{Q} \mathbf{R} \mathbf{S} \mathbf{T}
|
|
\mathbf{U} \mathbf{V} \mathbf{W} \mathbf{X} \mathbf{Y} \mathbf{Z}
|
|
\mathbf{a} \mathbf{b} \mathbf{c} \mathbf{d} \mathbf{e} \mathbf{f} \mathbf{g}
|
|
\mathbf{h} \mathbf{i} \mathbf{j} \mathbf{k} \mathbf{l} \mathbf{m}
|
|
\mathbf{n} \mathbf{o} \mathbf{p} \mathbf{q} \mathbf{r} \mathbf{s} \mathbf{t}
|
|
\mathbf{u} \mathbf{v} \mathbf{w} \mathbf{x} \mathbf{y} \mathbf{z}
|
|
\mathbf{0} \mathbf{1} \mathbf{2} \mathbf{3} \mathbf{4}
|
|
\mathbf{5} \mathbf{6} \mathbf{7} \mathbf{8} \mathbf{9}
|
|
Boldface (greek) | |
\boldsymbol{\Alpha} \boldsymbol{\Beta} \boldsymbol{\Gamma} \boldsymbol{\Delta} \boldsymbol{\Epsilon} \boldsymbol{\Zeta}
|
|
\boldsymbol{\Eta} \boldsymbol{\Theta} \boldsymbol{\Iota} \boldsymbol{\Kappa} \boldsymbol{\Lambda} \boldsymbol{\Mu}
|
|
\boldsymbol{\Nu} \boldsymbol{\Xi} \boldsymbol{\Pi} \boldsymbol{\Rho} \boldsymbol{\Sigma} \boldsymbol{\Tau}
|
|
\boldsymbol{\Upsilon} \boldsymbol{\Phi} \boldsymbol{\Chi} \boldsymbol{\Psi} \boldsymbol{\Omega}
|
|
\boldsymbol{\alpha} \boldsymbol{\beta} \boldsymbol{\gamma} \boldsymbol{\delta} \boldsymbol{\epsilon} \boldsymbol{\zeta}
|
|
\boldsymbol{\eta} \boldsymbol{\theta} \boldsymbol{\iota} \boldsymbol{\kappa} \boldsymbol{\lambda} \boldsymbol{\mu}
|
|
\boldsymbol{\nu} \boldsymbol{\xi} \boldsymbol{\pi} \boldsymbol{\rho} \boldsymbol{\sigma} \boldsymbol{\tau}
|
|
\boldsymbol{\upsilon} \boldsymbol{\phi} \boldsymbol{\chi} \boldsymbol{\psi} \boldsymbol{\omega}
|
|
\boldsymbol{\varepsilon} \boldsymbol{\digamma} \boldsymbol{\vartheta} \boldsymbol{\varkappa}
|
|
\boldsymbol{\varpi} \boldsymbol{\varrho} \boldsymbol{\varsigma} \boldsymbol{\varphi}
|
|
Italics | |
\mathit{A} \mathit{B} \mathit{C} \mathit{D} \mathit{E} \mathit{F} \mathit{G}
|
|
\mathit{H} \mathit{I} \mathit{J} \mathit{K} \mathit{L} \mathit{M}
|
|
\mathit{N} \mathit{O} \mathit{P} \mathit{Q} \mathit{R} \mathit{S} \mathit{T}
|
|
\mathit{U} \mathit{V} \mathit{W} \mathit{X} \mathit{Y} \mathit{Z}
|
|
\mathit{a} \mathit{b} \mathit{c} \mathit{d} \mathit{e} \mathit{f} \mathit{g}
|
|
\mathit{h} \mathit{i} \mathit{j} \mathit{k} \mathit{l} \mathit{m}
|
|
\mathit{n} \mathit{o} \mathit{p} \mathit{q} \mathit{r} \mathit{s} \mathit{t}
|
|
\mathit{u} \mathit{v} \mathit{w} \mathit{x} \mathit{y} \mathit{z}
|
|
\mathit{0} \mathit{1} \mathit{2} \mathit{3} \mathit{4}
|
|
\mathit{5} \mathit{6} \mathit{7} \mathit{8} \mathit{9}
|
|
Roman typeface | |
\mathrm{A} \mathrm{B} \mathrm{C} \mathrm{D} \mathrm{E} \mathrm{F} \mathrm{G}
|
|
\mathrm{H} \mathrm{I} \mathrm{J} \mathrm{K} \mathrm{L} \mathrm{M}
|
|
\mathrm{N} \mathrm{O} \mathrm{P} \mathrm{Q} \mathrm{R} \mathrm{S} \mathrm{T}
|
|
\mathrm{U} \mathrm{V} \mathrm{W} \mathrm{X} \mathrm{Y} \mathrm{Z}
|
|
\mathrm{a} \mathrm{b} \mathrm{c} \mathrm{d} \mathrm{e} \mathrm{f} \mathrm{g}
|
|
\mathrm{h} \mathrm{i} \mathrm{j} \mathrm{k} \mathrm{l} \mathrm{m}
|
|
\mathrm{n} \mathrm{o} \mathrm{p} \mathrm{q} \mathrm{r} \mathrm{s} \mathrm{t}
|
|
\mathrm{u} \mathrm{v} \mathrm{w} \mathrm{x} \mathrm{y} \mathrm{z}
|
|
\mathrm{0} \mathrm{1} \mathrm{2} \mathrm{3} \mathrm{4}
|
|
\mathrm{5} \mathrm{6} \mathrm{7} \mathrm{8} \mathrm{9}
|
|
Fraktur typeface | |
\mathfrak{A} \mathfrak{B} \mathfrak{C} \mathfrak{D} \mathfrak{E} \mathfrak{F} \mathfrak{G}
|
|
\mathfrak{H} \mathfrak{I} \mathfrak{J} \mathfrak{K} \mathfrak{L} \mathfrak{M}
|
|
\mathfrak{N} \mathfrak{O} \mathfrak{P} \mathfrak{Q} \mathfrak{R} \mathfrak{S} \mathfrak{T}
|
|
\mathfrak{U} \mathfrak{V} \mathfrak{W} \mathfrak{X} \mathfrak{Y} \mathfrak{Z}
|
|
\mathfrak{a} \mathfrak{b} \mathfrak{c} \mathfrak{d} \mathfrak{e} \mathfrak{f} \mathfrak{g}
|
|
\mathfrak{h} \mathfrak{i} \mathfrak{j} \mathfrak{k} \mathfrak{l} \mathfrak{m}
|
|
\mathfrak{n} \mathfrak{o} \mathfrak{p} \mathfrak{q} \mathfrak{r} \mathfrak{s} \mathfrak{t}
|
|
\mathfrak{u} \mathfrak{v} \mathfrak{w} \mathfrak{x} \mathfrak{y} \mathfrak{z}
|
|
\mathfrak{0} \mathfrak{1} \mathfrak{2} \mathfrak{3} \mathfrak{4}
|
|
\mathfrak{5} \mathfrak{6} \mathfrak{7} \mathfrak{8} \mathfrak{9}
|
|
Calligraphy/Script | |
\mathcal{A} \mathcal{B} \mathcal{C} \mathcal{D} \mathcal{E} \mathcal{F} \mathcal{G}
|
|
\mathcal{H} \mathcal{I} \mathcal{J} \mathcal{K} \mathcal{L} \mathcal{M}
|
|
\mathcal{N} \mathcal{O} \mathcal{P} \mathcal{Q} \mathcal{R} \mathcal{S} \mathcal{T}
|
|
\mathcal{U} \mathcal{V} \mathcal{W} \mathcal{X} \mathcal{Y} \mathcal{Z}
|
|
Hebrew | |
\aleph \beth \gimel \daleth
|
Feature | Syntax | How it looks rendered | |
---|---|---|---|
non-italicised characters | \mbox{abc} | ||
mixed italics (bad) | \mbox{if} n \mbox{is even} | ||
mixed italics (good) | \mbox{if }n\mbox{ is even} | ||
mixed italics (more legible: ~ is a non-breaking space, while "\ " forces a space) | \mbox{if}~n\ \mbox{is even} |
Color
Equations can use color:
{\color{Blue}x^2}+{\color{YellowOrange}2x}-{\color{OliveGreen}1}
x_{1,2}=\frac{-b\pm\sqrt{\color{Red}b^2-4ac}}{2a}
See here for all named colors supported by LaTeX.
Note that color should not be used as the only way to identify something, because it will become meaningless on black-and-white media or for color-blind people. See.
Formatting issues
Spacing
Note that TeX handles most spacing automatically, but you may sometimes want manual control.
Feature | Syntax | How it looks rendered |
---|---|---|
double quad space | a \qquad b | |
quad space | a \quad b | |
text space | a\ b | |
text space without PNG conversion | a \mbox{ } b | |
large space | a\;b | |
medium space | a\>b | [not supported] |
small space | a\,b | |
no space | ab | |
small negative space | a\!b |
Alignment with normal text flow
Due to the default css
img.tex { vertical-align: middle; }
an inline expression like should look good.
If you need to align it otherwise, use <math style="vertical-align:-100%;">...</math>
and play with the vertical-align
argument until you get it right; however, how it looks may depend on the browser and the browser settings.
Also note that if you rely on this workaround, if/when the rendering on the server gets fixed in future releases, as a result of this extra manual offset your formulae will suddenly be aligned incorrectly. So use it sparingly, if at all.
Forced PNG rendering
To force the formula to render as PNG, add \,
(small space) at the end of the formula (where it is not rendered). This will force PNG if the user is in "HTML if simple" mode, but not for "HTML if possible" mode.
You can also use \,\!
(small space and negative space, which cancel out) anywhere inside the math tags. This does force PNG even in "HTML if possible" mode, unlike \,
.
This could be useful to keep the rendering of formulae in a proof consistent, for example, or to fix formulae that render incorrectly in HTML (at one time, a^{2+2} rendered with an extra underscore), or to demonstrate how something is rendered when it would normally show up as HTML (as in the examples above).
For instance:
Syntax | How it looks rendered |
---|---|
a^{c+2} | |
a^{c+2} \, | |
a^{\,\!c+2} | |
a^{b^{c+2}} | (WRONG with option "HTML if possible or else PNG"!) |
a^{b^{c+2}} \, | (WRONG with option "HTML if possible or else PNG"!) |
a^{b^{c+2}}\approx 5 | (due to "" correctly displayed, no code "\,\!" needed) |
a^{b^{\,\!c+2}} | |
\int_{-N}^{N} e^x\, dx |
This has been tested with most of the formulae on this page, and seems to work perfectly.
You might want to include a comment in the HTML so people don't "correct" the formula by removing it:
- <!-- The \,\! is to keep the formula rendered as PNG instead of HTML. Please don't remove it.-->
Examples
Quadratic Polynomial
<math>ax^2 + bx + c = 0</math>
Quadratic Polynomial (Force PNG Rendering)
<math>ax^2 + bx + c = 0\,\!</math>
Quadratic Formula
<math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math>
Tall Parentheses and Fractions
<math>2 = \left(
\frac{\left(3-x\right) \times 2}{3-x}
\right)</math>
<math>S_{\text{new}} = S_{\text{old}} - \frac{ \left( 5-T \right) ^2} {2}</math>
Integrals
<math>\int_a^x \!\!\!\int_a^s f(y)\,dy\,ds
= \int_a^x f(y)(x-y)\,dy</math>
Summation
<math>\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n}
{3^m\left(m\,3^n+n\,3^m\right)}</math>
Differential Equation
<math>u'' + p(x)u' + q(x)u=f(x),\quad x>a</math>
Complex numbers
<math>|\bar{z}| = |z|,
|(\bar{z})^n| = |z|^n,
\arg(z^n) = n \arg(z)</math>
Limits
<math>\lim_{z\rightarrow z_0} f(z)=f(z_0)</math>
Integral Equation
<math>\phi_n(\kappa) =
\frac{1}{4\pi^2\kappa^2} \int_0^\infty
\frac{\sin(\kappa R)}{\kappa R}
\frac{\partial}{\partial R}
\left[R^2\frac{\partial D_n(R)}{\partial R}\right]\,dR</math>
Example
<math>\phi_n(\kappa) =
0.033C_n^2\kappa^{-11/3},\quad
\frac{1}{L_0}\ll\kappa\ll\frac{1}{l_0}</math>
Continuation and cases
<math>
f(x) =
\begin{cases}
1 & -1 \le x < 0 \\
\frac{1}{2} & x = 0 \\
1 - x^2 & \mbox{otherwise}
\end{cases}
</math>
Prefixed subscript
<math>{}_pF_q(a_1,\dots,a_p;c_1,\dots,c_q;z)
= \sum_{n=0}^\infty
\frac{(a_1)_n\cdots(a_p)_n}{(c_1)_n\cdots(c_q)_n}
\frac{z^n}{n!}</math>
Fraction and small fraction
<math> \frac {a}{b}\ \tfrac {a}{b} </math>
Unicode vs TeX comparison
unicode | TeX | See |
⟦ | [\![ | |
{ | \{ | |
∥ | \| | |
} | \} | |
ℵ | \aleph | |
α | \alpha | |
⨿ | \amalg | |
∠ | \angle | |
≈ | \approx | |
∗ | \ast | |
≍ | \asymp | |
\ | \backslash | |
β | \beta | |
⋂ | \bigcap | |
◯ | \bigcirc | |
⋃ | \bigcup | |
⨀ | \bigodot | |
⨁ | \bigoplus | |
⨂ | \bigotimes | |
⨆ | \bigsqcup | |
▽ | \bigtriangledown | |
△ | \bigtriangleup | |
⨄ | \biguplus | |
⋀ | \bigwedge | |
⋁ | \bigvee | |
⊥ | \bot | |
⋈ | \bowtie | |
□ | \Box | |
∙ | \bullet | |
∩ | \cap | |
⋅ | \cdot | |
⋯ | \cdots | |
χ | \chi | |
∘ | \circ | |
♣ | \clubsuit | |
≅ | \cong | |
∐ | \coprod | |
∪ | \cup | |
† | \dagger | |
⊣ | \dashv | |
‡ | \ddagger | |
⋱ | \ddots | |
δ | \delta | |
Δ | \Delta | |
◇ | \Diamond | |
⋄ | \diamond | |
♢ | \diamondsuit | |
÷ | \div | |
≐ | \doteq | |
↓ | \downarrow | |
⇓ | \Downarrow | |
ℓ | \ell | |
∅ | \emptyset | |
ϵ | \epsilon | |
≡ | \equiv | |
η | \eta | |
∃ | \exists | |
♭ | \flat | |
∀ | \forall | |
⌢ | \frown | |
γ | \gamma | |
Γ | \Gamma | |
≥ | \ge | |
≥ | \geq | |
← | \gets | |
≫ | \gg | |
ℏ | \hbar | |
♡ | \heartsuit | |
↩ | \hookleftarrow | |
↪ | \hookrightarrow | |
ℑ | \Im | |
ı | \imath | |
∈ | \in | |
∞ | \infty | |
∫ | \int | |
ι | \iota | |
j | \jmath | |
κ | \kappa | |
λ | \lambda | |
Λ | \Lambda | |
∧ | \land | |
⟨ | \langle | |
⟪ | \langle\!\langle | |
{ | \lbrace | |
[ | \lbrack | |
⌈ | \lceil | |
≤ | \le | |
⇐ | \Leftarrow | |
← | \leftarrow | |
↽ | \leftharpoondown | |
↼ | \leftharpoonup | |
↔ | \leftrightarrow | |
⇔ | \Leftrightarrow | |
≤ | \leq | |
⌊ | \lfloor | |
≪ | \ll | |
¬ | \lnot | |
⟸ | \Longleftarrow | |
⟵ | \longleftarrow | |
⟺ | \Longleftrightarrow | |
⟷ | \longleftrightarrow | |
⟼ | \longmapsto | |
⟹ | \Longrightarrow | |
⟶ | \longrightarrow | |
∨ | \lor | |
↦ | \mapsto | |
∣ | \mid | |
⊨ | \models | |
∓ | \mp | |
μ | \mu | |
∇ | \nabla | |
♮ | \natural | |
≠ | \ne | |
↗ | \nearrow | |
¬ | \neg | |
≠ | \neq | |
∋ | \ni | |
≉ | \not\approx | |
≭ | \not\asymp | |
≇ | \not\cong | |
≢ | \not\equiv | |
≱ | \not\geq | |
≰ | \not\leq | |
⊀ | \not\prec | |
⋠ | \not\preceq | |
≁ | \not\sim | |
≄ | \not\simeq | |
⋢ | \not\sqsubseteq | |
⋣ | \not\sqsupseteq | |
⊄ | \not\subset | |
⊈ | \not\subseteq | |
⊁ | \not\succ | |
⋡ | \not\succeq | |
⊅ | \not\supset | |
⊉ | \not\supseteq | |
≠ | \not= | |
ν | \nu | |
↖ | \nwarrow | |
⊙ | \odot | |
∮ | \oint | |
ω | \omega | |
Ω | \Omega | |
⊖ | \ominus | |
⊕ | \oplus | |
⊘ | \oslash | |
⊗ | \otimes | |
∥ | \parallel | |
∂ | \partial | |
⊥ | \perp | |
ϕ | \phi | |
Φ | \Phi | |
π | \pi | |
Π | \Pi | |
± | \pm | |
≺ | \prec | |
≼ | \preceq | |
′ | \prime | |
∏ | \prod | |
∝ | \propto | |
ψ | \psi | |
Ψ | \Psi | |
⟩ | \rangle | |
⟫ | \rangle\!\rangle | |
} | \rbrace | |
] | \rbrack | |
⌉ | \rceil | |
ℜ | \Re | |
⌋ | \rfloor | |
ρ | \rho | |
→ | \rightarrow | |
⇒ | \Rightarrow | |
⇁ | \rightharpoondown | |
⇀ | \rightharpoonup | |
⇌ | \rightleftharpoons | |
↘ | \searrow | |
∖ | \setminus | |
♯ | \sharp | |
σ | \sigma | |
Σ | \Sigma | |
∼ | \sim | |
≃ | \simeq | |
⌣ | \smile | |
♠ | \spadesuit | |
⊓ | \sqcap | |
⊔ | \sqcup | |
⊏ | \sqsubset | |
⊑ | \sqsubseteq | |
⊐ | \sqsupset | |
⊒ | \sqsupseteq | |
⋆ | \star | |
⊂ | \subset | |
⊆ | \subseteq | |
≻ | \succ | |
≽ | \succeq | |
∑ | \sum | |
⊃ | \supset | |
⊇ | \supseteq | |
√ | \surd | |
↙ | \swarrow | |
τ | \tau | |
θ | \theta | |
Θ | \Theta | |
× | \times | |
→ | \to | |
⊤ | \top | |
△ | \triangle | |
◁ | \triangleleft | |
▷ | \triangleright | |
↑ | \uparrow | |
⇑ | \Uparrow | |
↕ | \updownarrow | |
⇕ | \Updownarrow | |
⊎ | \uplus | |
υ | \upsilon | |
Υ | \Upsilon | |
ε | \varepsilon | |
φ | \varphi | |
ϖ | \varpi | |
ϱ | \varrho | |
ς | \varsigma | |
ϑ | \vartheta | |
⊢ | \vdash | |
⋮ | \vdots | |
∧ | \wedge | |
∨ | \vee | |
∣ | \vert | |
∥ | \Vert | |
℘ | \wp | |
≀ | \wr | |
ξ | \xi | |
Ξ | \Xi | |
ζ | \zeta | |
⟧ | ]\!] | |
ο | o |