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Math.Математические формулы — различия между версиями

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 +
MediaWiki поддерживает встраиваемые математические формулы, использующие [http://ru.wikipedia.org/wiki/TeX TeX].
  
 +
== Использование ==
 +
Достаточно нажать кнопку ''«править»'' и заключить LaTeX-формулу в тэги ''math''.
 +
 +
Например, <code><nowiki><math>\int\limits_1^\infin \frac{1}{k}\,dk</math></nowiki></code>
 +
 +
<math>\int\limits_1^\infin \frac{1}{k}\,dk</math>
 +
 +
 +
 +
=== Специальные символы ===
 +
<code><nowiki><math>\# \$ \% \_ \{ \}</math></nowiki></code> дает <math>\# \$ \% \_ \{ \}</math>
 +
 +
{| class="wikitable"
 +
|-
 +
! Syntax
 +
! Rendering
 +
|- valign="top"
 +
|<pre><nowiki>&amp;alpha; &amp;beta; &amp;gamma; &amp;delta; &amp;epsilon; &amp;zeta;
 +
&amp;eta; &amp;theta; &amp;iota; &amp;kappa; &amp;lambda; &amp;mu; &amp;nu;
 +
&amp;xi; &amp;omicron; &amp;pi; &amp;rho; &amp;sigma; &amp;sigmaf;
 +
&amp;tau; &amp;upsilon; &amp;phi; &amp;chi; &amp;psi; &amp;omega;
 +
&amp;Gamma; &amp;Delta; &amp;Theta; &amp;Lambda; &amp;Xi; &amp;Pi;
 +
&amp;Sigma; &amp;Phi; &amp;Psi; &amp;Omega;
 +
</nowiki></pre>
 +
| style="texhtml" |α β γ δ ε ζ<br
 +
/>η θ ι κ λ μ ν<br
 +
/>ξ ο π ρ σ ς<br
 +
/>τ υ φ χ ψ ω<br
 +
/>Γ Δ Θ Λ Ξ Π<br
 +
/>Σ Φ Ψ Ω
 +
|- valign="top"
 +
| valign="middle" | <pre><nowiki>&amp;int; &amp;sum; &amp;prod; &amp;radic; &amp;minus; &amp;plusmn; &amp;infty;
 +
&amp;asymp; &amp;prop; {{=}} &amp;equiv; &amp;ne; &amp;le; &amp;ge;
 +
&amp;times; &amp;middot; &amp;divide; &amp;part; &amp;prime; &amp;Prime;
 +
&amp;nabla; &amp;permil; &amp;deg; &amp;there4; &amp;Oslash; &amp;oslash;
 +
&amp;isin; &amp;notin;
 +
&amp;cap; &amp;cup; &amp;sub; &amp;sup; &amp;sube; &amp;supe;
 +
&amp;not; &amp;and; &amp;or; &amp;exist; &amp;forall;
 +
&amp;rArr; &amp;hArr; &amp;rarr; &amp;harr; &amp;uarr;
 +
&amp;alefsym; - &amp;ndash; &amp;mdash;
 +
</nowiki></pre>
 +
| style="texhtml" |∫ ∑ ∏ √ − ± ∞<br
 +
/>≈ ∝ = ≡ ≠ ≤ ≥<br
 +
/>× · ÷ ∂ ′ ″<br
 +
/>∇ ‰ ° ∴ Ø ø<br
 +
/>∈ ∉ ∩ ∪ ⊂ ⊃ ⊆ ⊇<br
 +
/>¬ ∧ ∨ ∃ ∀<br
 +
/>⇒ ⇔ → ↔ ↑<br
 +
/>ℵ - – —
 +
|}
 +
 +
 +
 +
== Функции, символы, специальные символы ==
 +
=== Акценты / диакритические ===
 +
{| class="wikitable"
 +
|<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>
 +
|}
 +
 +
=== Стандартные функции ===
 +
{| class="wikitable"
 +
|<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>
 +
|}
 +
 +
=== Modular arithmetic ===
 +
 +
{| class="wikitable"
 +
|<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>
 +
|}
 +
 +
=== Производные ===
 +
 +
{| class="wikitable"
 +
|<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>
 +
|}
 +
 +
=== Установка ===
 +
 +
{| class="wikitable"
 +
|<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>
 +
|}
 +
 +
=== Операторы ===
 +
 +
{| class="wikitable"
 +
|<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>
 +
|}
 +
 +
=== Логические ===
 +
 +
{| class="wikitable"
 +
|<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>
 +
|}
 +
 +
=== Корни ===
 +
 +
{| class="wikitable"
 +
|<code>\sqrt{2} \sqrt[n]{x}</code>
 +
|<math>\sqrt{2} \sqrt[n]{x}\,</math>
 +
|}
 +
 +
=== Отношения ===
 +
 +
{| class="wikitable"
 +
|<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>
 +
|-
 +
|<code> \lessapprox \lesssim \eqslantless \leqslant \leqq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox</code>
 +
|<math> \lessapprox \lesssim \eqslantless \leqslant \leqq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox</math>
 +
|}
 +
 +
=== Геометрические ===
 +
 +
{| class="wikitable"
 +
|<code><nowiki>\Diamond \Box \triangle \angle \perp \mid \nmid \| 45^\circ</nowiki></code>
 +
|<math>\Diamond \, \Box \, \triangle \, \angle \perp \, \mid \; \nmid \, \| 45^\circ\,</math>
 +
|}
 +
 +
=== Стрелки ===
 +
 +
{| class="wikitable"
 +
|<code>\leftarrow (or \gets) \rightarrow (or \to) \nleftarrow \nrightarrow \leftrightarrow \nleftrightarrow \longleftarrow \longrightarrow \longleftrightarrow</code>
 +
|<math>\leftarrow \rightarrow \nleftarrow \nrightarrow \leftrightarrow \nleftrightarrow \longleftarrow \longrightarrow \longleftrightarrow \,</math>
 +
|-
 +
|<code>\Leftarrow \Rightarrow \nLeftarrow \nRightarrow \Leftrightarrow \nLeftrightarrow \Longleftarrow \Longrightarrow (or \implies) \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>
 +
|}
 +
 +
=== Специальные ===
 +
 +
{| class="wikitable"
 +
|<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>
 +
|}
 +
 +
=== Не отсортированное ===
 +
 +
{| class="wikitable"
 +
|<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 \eqsim \gtrdot</code>
 +
|<math> \Vvdash \bumpeq \Bumpeq \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 \between \shortparallel \pitchfork</code>
 +
|<math> \Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \between \shortparallel \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>
 +
|}
 +
 +
== Выражения ==
 +
=== Индексы, интегралы ===
 +
{| class="wikitable"
 +
!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="3"|Preceding and/or Additional sub & super
 +
|<code>_nP_k</code>||<math>_nP_k</math>||<math>_nP_k \,</math>
 +
|-
 +
|<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>||&nbsp;||<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="4"|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>
 +
|-
 +
|<code>\not 1 \ \cancel{123}</code>||colspan=2|<math>\not 1 \ \cancel{123}</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 }^{\text{sum}\,=\,5050}</code>||colspan=2|<math>\overbrace{ 1+2+\cdots+100 }^{\text{sum}\,=\,5050}</math>
 +
|-
 +
|Underbraces||<code>\underbrace{ a+b+\cdots+z }_{26\text{ terms}}</code>||colspan=2|<math>\underbrace{ a+b+\cdots+z }_{26\text{ terms}}</math>
 +
|-
 +
|Sum||<code>\sum_{k=1}^N k^2</code>||colspan=2|<math>\sum_{k=1}^N k^2</math>
 +
|-
 +
|Sum (force&nbsp;<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&nbsp;<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&nbsp;<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&nbsp;<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&nbsp;<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&nbsp;<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>
 +
|}
 +
 +
=== Фракции, матрицы, модули...===
 +
 +
{|  class="wikitable"
 +
! Feature
 +
! Syntax
 +
! How it looks rendered
 +
|-
 +
| Fractions
 +
| <code>\frac{1}{2}=0.5</code>
 +
| <math>\frac{1}{2}=0.5</math>
 +
|-
 +
| Small ("text style") fractions
 +
| <code>\tfrac{1}{2} = 0.5</code>
 +
| <math>\tfrac{1}{2} = 0.5</math>
 +
|-
 +
| Large ("display style") fractions
 +
| <code>\dfrac{k}{k-1} = 0.5</code>
 +
| <math>\dfrac{k}{k-1} = 0.5</math>
 +
|-
 +
| Mixture of large and small fractions
 +
| <code>\dfrac{ \tfrac{1}{2}[1-(\tfrac{1}{2})^n] }{ 1-\tfrac{1}{2} } = s_n</code>
 +
| <math>\dfrac{ \tfrac{1}{2}[1-(\tfrac{1}{2})^n] }{ 1-\tfrac{1}{2} } = s_n</math>
 +
|-
 +
| Continued fractions <small>(note the difference in formatting)</small>
 +
| <pre>\cfrac{2}{ c + \cfrac{2}{ d + \cfrac{1}{2} } } = a
 +
\qquad
 +
\dfrac{2}{ c + \dfrac{2}{ d + \dfrac{1}{2} } } = a</pre>
 +
| <math>\cfrac{2}{ c + \cfrac{2}{ d + \cfrac{1}{2} } } = a \qquad \dfrac{2}{ c + \dfrac{2}{ d + \dfrac{1}{2} } } = a</math>
 +
|-
 +
| Binomial coefficients
 +
| <code>\binom{n}{k}</code>
 +
| <math>\binom{n}{k}</math>
 +
|-
 +
| Small ("text style") binomial coefficients
 +
| <code>\tbinom{n}{k}</code>
 +
| <math>\tbinom{n}{k}</math>
 +
|-
 +
| Large ("display style") binomial coefficients
 +
| <code>\dbinom{n}{k}</code>
 +
| <math>\dbinom{n}{k}</math>
 +
|-
 +
|  rowspan="7" | Matrices
 +
| <pre>\begin{matrix}
 +
x & y \\
 +
z & v
 +
\end{matrix}</pre>
 +
| <math>\begin{matrix} x & y \\ z & v
 +
\end{matrix}</math>
 +
|-
 +
| <pre>\begin{vmatrix}
 +
x & y \\
 +
z & v
 +
\end{vmatrix}</pre>
 +
| <math>\begin{vmatrix} x & y \\ z & v
 +
\end{vmatrix}</math>
 +
|-
 +
| <pre>\begin{Vmatrix}
 +
x & y \\
 +
z & v
 +
\end{Vmatrix}</pre>
 +
| <math>\begin{Vmatrix} x & y \\ z & v
 +
\end{Vmatrix}</math>
 +
|-
 +
| <pre>\begin{bmatrix}
 +
0      & \cdots & 0      \\
 +
\vdots & \ddots & \vdots \\
 +
0      & \cdots & 0
 +
\end{bmatrix}</pre>
 +
| <math>\begin{bmatrix} 0 & \cdots & 0 \\ \vdots
 +
& \ddots & \vdots \\ 0 & \cdots &
 +
0\end{bmatrix} </math>
 +
|-
 +
| <pre>\begin{Bmatrix}
 +
x & y \\
 +
z & v
 +
\end{Bmatrix}</pre>
 +
| <math>\begin{Bmatrix} x & y \\ z & v
 +
\end{Bmatrix}</math>
 +
|-
 +
| <pre>\begin{pmatrix}
 +
x & y \\
 +
z & v
 +
\end{pmatrix}</pre>
 +
| <math>\begin{pmatrix} x & y \\ z & v
 +
\end{pmatrix}</math>
 +
|-
 +
| <pre>
 +
\bigl( \begin{smallmatrix}
 +
a&b\\ c&d
 +
\end{smallmatrix} \bigr)
 +
</pre>
 +
| <math>
 +
\bigl( \begin{smallmatrix}
 +
a&b\\ c&d
 +
\end{smallmatrix} \bigr)
 +
</math>
 +
|-
 +
| Arrays
 +
| <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>
 +
| <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>
 +
|-
 +
| Cases
 +
| <pre>
 +
f(n) =
 +
\begin{cases}
 +
n/2,  & \mbox{if }n\mbox{ is even} \\
 +
3n+1, & \mbox{if }n\mbox{ is odd}
 +
\end{cases}</pre>
 +
| <math>f(n) =
 +
\begin{cases}
 +
n/2,  & \mbox{if }n\mbox{ is even} \\
 +
3n+1, & \mbox{if }n\mbox{ is odd}
 +
\end{cases} </math>
 +
|-
 +
| System of equations
 +
| <pre>\begin{cases}
 +
3x + 5y +  z &= 1 \\
 +
7x - 2y + 4z &= 2 \\
 +
-6x + 3y + 2z &= 3
 +
\end{cases}</pre>
 +
| <math>\begin{cases}
 +
3x + 5y +  z &= 1 \\
 +
7x - 2y + 4z &= 2 \\
 +
-6x + 3y + 2z &= 3
 +
\end{cases}</math>
 +
|-
 +
| Breaking up a long expression so it wraps when necessary
 +
| <pre><nowiki><math>f(x) = \sum_{n=0}^\infty a_n x^n</math>
 +
<math>= a_0 + a_1x + a_2x^2 + \cdots</math></nowiki></pre>
 +
| <math>f(x) = \sum_{n=0}^\infty a_n x^n</math> <math>= a_0 + a_1x + a_2x^2 + \cdots</math>
 +
|-
 +
|  rowspan="2" | Multiline equations
 +
| <pre>
 +
\begin{align}
 +
f(x) & = (a+b)^2 \\
 +
& = a^2+2ab+b^2 \\
 +
\end{align}
 +
</pre>
 +
| <math>
 +
\begin{align}
 +
f(x) & = (a+b)^2 \\
 +
& = a^2+2ab+b^2 \\
 +
\end{align}
 +
</math>
 +
|-
 +
| <pre>
 +
\begin{alignat}{2}
 +
f(x) & = (a-b)^2 \\
 +
& = a^2-2ab+b^2 \\
 +
\end{alignat}
 +
</pre>
 +
| <math>
 +
\begin{alignat}{2}
 +
f(x) & = (a-b)^2 \\
 +
& = a^2-2ab+b^2 \\
 +
\end{alignat}
 +
</math>
 +
|-
 +
| rowspan="2" | Multiline equations with aligment specified <small>(<u>l</u>eft, <u>c</u>enter, <u>r</u>ight)</small>
 +
| <pre>
 +
\begin{array}{lcl}
 +
z        & = & a \\
 +
f(x,y,z) & = & x + y + z 
 +
\end{array}</pre>
 +
| <math>\begin{array}{lcl}
 +
z        & = & a \\
 +
f(x,y,z) & = & x + y + z 
 +
\end{array}</math>
 +
|-
 +
| <pre>
 +
\begin{array}{lcr}
 +
z        & = & a \\
 +
f(x,y,z) & = & x + y + z   
 +
\end{array}</pre>
 +
| <math>\begin{array}{lcr}
 +
z        & = & a \\
 +
f(x,y,z) & = & x + y + z   
 +
\end{array}</math>
 +
|}
 +
 +
=== Скобки больших выражений... ===
 +
{| 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>
 +
|}
 +
 +
Вы можете использовать различные разделители с <tt>\left</tt> и <tt>\right</tt>:
 +
 +
{| 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 <small>(note the backslash before the braces in the code)</small>
 +
| <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 <small>(note: "bars" provide the absolute value function)</small>
 +
| <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, as long as <tt>\left</tt> and <tt>\right</tt> are both used
 +
| <code>\left [ 0,1 \right )</code> <br/> <code><nowiki>\left \langle \psi \right |</nowiki></code>
 +
| <math>\left [ 0,1 \right )</math> <br/> <math>\left \langle \psi \right |</math>
 +
|-
 +
| Use <tt>\left.</tt> or <tt>\right.</tt> if you don't 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>
 +
|}
 +
 +
== Алфавиты и шрифты ==
 +
 +
{| 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 \Omicron \Pi \Rho \Sigma \Tau</nowiki></code>
 +
|<math>\Nu \Xi \Omicron \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 \omicron \pi \rho \sigma \tau</nowiki></code>
 +
|<math>\nu \xi \pi \omicron \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>
 +
|-
 +
| <code><nowiki>\C \N \Q \R \Z</nowiki></code>
 +
|<math>\C \N \Q \R \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>
 +
|}
 +
 +
 +
{|  class="wikitable"
 +
! Feature
 +
! Syntax
 +
!  colspan="2" | How it looks rendered
 +
|-
 +
| non-italicised characters
 +
| <code><nowiki>\mbox{abc}</nowiki></code>
 +
| <math>\mbox{abc}</math>
 +
| <math>\mbox{abc} \,</math>
 +
|-
 +
| mixed italics (bad)
 +
| <code><nowiki>\mbox{if} n \mbox{is even}</nowiki></code>
 +
| <math>\mbox{if} n \mbox{is even}</math>
 +
| <math>\mbox{if} n \mbox{is even} \,</math>
 +
|-
 +
| mixed italics (good)
 +
| <code><nowiki>\mbox{if }n\mbox{ is even}</nowiki></code>
 +
| <math>\mbox{if }n\mbox{ is even}</math>
 +
| <math>\mbox{if }n\mbox{ is even} \,</math>
 +
|-
 +
| mixed italics (more legible: ~ is a non-breaking space, while "\ " forces a space)
 +
| <code><nowiki>\mbox{if}~n\ \mbox{is even}</nowiki></code>
 +
| <math>\mbox{if}~n\ \mbox{is even}</math>
 +
| <math>\mbox{if}~n\ \mbox{is even} \,</math>
 +
|}
 +
 +
== Цвет ==
 +
В формулах можно использовать цветной текст:
 +
 +
*<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>
 +
 +
Кроме того, можно изменить цвет фона, как в следующем примере:
 +
{| class=wikitable
 +
|-
 +
! Background
 +
! Wikicode
 +
! Rendering (in PNG)
 +
|-
 +
! rowspan=2 | White
 +
| <code>e^{i \pi} + 1 = 0</code>
 +
| <math>e^{i \pi} + 1 = 0\,</math>
 +
|-
 +
| <code>'''\definecolor{orange}{RGB}{255,165,0}\pagecolor{orange}'''e^{i \pi} + 1 = 0</code>
 +
| <math>\definecolor{orange}{RGB}{255,165,0}\pagecolor{orange}e^{i \pi} + 1 = 0\,</math></span>
 +
|-
 +
! rowspan=2 | Orange
 +
| <code>e^{i \pi} + 1 = 0</code>
 +
| style="background-color:orange;" | <math>e^{i \pi} + 1 = 0\,</math>
 +
|-
 +
| <code>'''\definecolor{orange}{RGB}{255,165,0}\pagecolor{orange}'''e^{i \pi} + 1 = 0</code>
 +
| style="background-color:orange;" | <math>\definecolor{orange}{RGB}{255,165,0}\pagecolor{orange}e^{i \pi} + 1 = 0\,</math>
 +
|}
 +
 +
== Форматирование ==
 +
=== Расстояние ===
 +
Note that {{TeX}} handles most spacing automatically, but you may sometimes want manual control.
 +
 +
{|  class="wikitable"
 +
! Feature
 +
! Syntax
 +
! How it looks rendered
 +
|-
 +
| double quad space
 +
| <code><nowiki>a \qquad b</nowiki></code>
 +
| <math>a \qquad b</math>
 +
|-
 +
| quad space
 +
| <code><nowiki>a \quad b</nowiki></code>
 +
| <math>a \quad b</math>
 +
|-
 +
| text space
 +
| <code><nowiki>a\ b</nowiki></code>
 +
| <math>a\ b</math>
 +
|-
 +
| text space without PNG conversion
 +
| <code><nowiki>a \mbox{ } b</nowiki></code>
 +
| <math>a \mbox{ } b</math>
 +
|-
 +
| large space
 +
| <code><nowiki>a\;b</nowiki></code>
 +
| <math>a\;b</math>
 +
|-
 +
| medium space
 +
| <code><nowiki>a\&gt;b</nowiki></code>
 +
| [not supported]
 +
|-
 +
| small space
 +
| <code><nowiki>a\,b</nowiki></code>
 +
| <math>a\,b</math>
 +
|-
 +
| no space
 +
| <code><nowiki>ab</nowiki></code>
 +
| <math>ab\,</math>
 +
|-
 +
| small negative space
 +
| <code><nowiki>a\!b</nowiki></code>
 +
| <math>a\!b</math>
 +
|}
 +
 +
Автоматический интервал может быть нарушен в очень длинных выражениях (потому что они производят переполненный горизонтальный бокс в ТеХ):
 +
 +
:<code><nowiki><math>0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\cdots</math></nowiki></code>
 +
:<math>0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\cdots</math>
 +
 +
Это можно исправить, поставив пару фигурных скобок {} по всему выражению:
 +
:<code><nowiki><math>{0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\cdots}</math></nowiki></code>
 +
:<math>{0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\cdots}</math>
 +
 +
== Примеры==
 +
 +
<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> &emsp; <math> \tfrac {a}{b} </math>
 +
<nowiki><math> \frac {a}{b}\  \tfrac {a}{b} </math></nowiki>
 +
 +
</center>
  
 
[http://meta.wikimedia.org/wiki/Help:Formula Источник]
 
[http://meta.wikimedia.org/wiki/Help:Formula Источник]
  
 
[[Категория:Справка]]
 
[[Категория:Справка]]

Версия 15:25, 13 марта 2013

Вернуться на справочную страницу

MediaWiki поддерживает встраиваемые математические формулы, использующие TeX.

Содержание

Использование

Достаточно нажать кнопку «править» и заключить LaTeX-формулу в тэги math.

Например, <math>\int\limits_1^\infin \frac{1}{k}\,dk</math>

\int\limits_1^\infin \frac{1}{k}\,dk


Специальные символы

<math>\# \$ \% \_ \{ \}</math> дает \# \$ \% \_ \{ \}

Syntax Rendering 
&alpha; &beta; &gamma; &delta; &epsilon; &zeta;
&eta; &theta; &iota; &kappa; &lambda; &mu; &nu;
&xi; &omicron; &pi; &rho; &sigma; &sigmaf;
&tau; &upsilon; &phi; &chi; &psi; &omega;
&Gamma; &Delta; &Theta; &Lambda; &Xi; &Pi;
&Sigma; &Phi; &Psi; &Omega;
α β γ δ ε ζ
η θ ι κ λ μ ν
ξ ο π ρ σ ς
τ υ φ χ ψ ω
Γ Δ Θ Λ Ξ Π
Σ Φ Ψ Ω 
&int; &sum; &prod; &radic; &minus; &plusmn; &infty;
&asymp; &prop; {{=}} &equiv; &ne; &le; &ge; 
&times; &middot; &divide; &part; &prime; &Prime;
&nabla; &permil; &deg; &there4; &Oslash; &oslash;
&isin; &notin; 
&cap; &cup; &sub; &sup; &sube; &supe;
&not; &and; &or; &exist; &forall; 
&rArr; &hArr; &rarr; &harr; &uarr; 
&alefsym; - &ndash; &mdash;
∫ ∑ ∏ √ − ± ∞
≈ ∝ = ≡ ≠ ≤ ≥
× · ÷ ∂ ′ ″
∇ ‰ ° ∴ Ø ø
∈ ∉ ∩ ∪ ⊂ ⊃ ⊆ ⊇
¬ ∧ ∨ ∃ ∀
⇒ ⇔ → ↔ ↑
ℵ - – —


Функции, символы, специальные символы

Акценты / диакритические

\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a} \acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}\,
\check{a} \bar{a} \ddot{a} \dot{a} \check{a} \bar{a} \ddot{a} \dot{a}

Стандартные функции

\sin a \cos b \tan c \sin a \cos b \tan c
\sec d \csc e \cot f \sec d \csc e \cot f\,
\arcsin h \arccos i \arctan j \arcsin h \arccos i \arctan j\,
\sinh k \cosh l \tanh m \coth n \sinh k \cosh l \tanh m \coth n
\operatorname{sh}o\,\operatorname{ch}p\,\operatorname{th}q \operatorname{sh}o\,\operatorname{ch}p\,\operatorname{th}q
\operatorname{arsinh}r\,\operatorname{arcosh}s\,\operatorname{artanh}t \operatorname{arsinh}r\,\operatorname{arcosh}s\,\operatorname{artanh}t
\lim u \limsup v \liminf w \min x \max y \lim u \limsup v \liminf w \min x \max y
\inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g \inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g
\deg h \gcd i \Pr j \det k \hom l \arg m \dim n \deg h \gcd i \Pr j \det k \hom l \arg m \dim n

Modular arithmetic

s_k \equiv 0 \pmod{m} s_k \equiv 0 \pmod{m}\,
a\,\bmod\,b a\,\bmod\,b\,

Производные

\nabla \, \partial x \, dx \, \dot x \, \ddot y\, dy/dx\, \frac{dy}{dx}\, \frac{\partial^2 y}{\partial x_1\,\partial x_2} \nabla \, \partial x \, dx \, \dot x \, \ddot y\, dy/dx\, \frac{dy}{dx}\, \frac{\partial^2 y}{\partial x_1\,\partial x_2}

Установка

\forall \exists \empty \emptyset \varnothing \forall \exists \empty \emptyset \varnothing\,
\in \ni \not \in \notin \subset \subseteq \supset \supseteq \in \ni \not \in \notin \subset \subseteq \supset \supseteq\,
\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus \cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus\,
\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup \sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup\,

Операторы

+ \oplus \bigoplus \pm \mp - + \oplus \bigoplus \pm \mp - \,
\times \otimes \bigotimes \cdot \circ \bullet \bigodot \times \otimes \bigotimes \cdot \circ \bullet \bigodot\,
\star * / \div \frac{1}{2} \star * / \div \frac{1}{2}\,

Логические

\land (or \and) \wedge \bigwedge \bar{q} \to p \land \wedge \bigwedge \bar{q} \to p\,
\lor \vee \bigvee \lnot \neg q \And \lor \vee \bigvee \lnot \neg q \And\,

Корни

\sqrt{2} \sqrt[n]{x} \sqrt{2} \sqrt[n]{x}\,

Отношения

\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=} \sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}\,
< \le \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto < \le \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto\,
\lessapprox \lesssim \eqslantless \leqslant \leqq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \lessapprox \lesssim \eqslantless \leqslant \leqq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox

Геометрические

\Diamond \Box \triangle \angle \perp \mid \nmid \| 45^\circ \Diamond \, \Box \, \triangle \, \angle \perp \, \mid \; \nmid \, \| 45^\circ\,

Стрелки

\leftarrow (or \gets) \rightarrow (or \to) \nleftarrow \nrightarrow \leftrightarrow \nleftrightarrow \longleftarrow \longrightarrow \longleftrightarrow \leftarrow \rightarrow \nleftarrow \nrightarrow \leftrightarrow \nleftrightarrow \longleftarrow \longrightarrow \longleftrightarrow \,
\Leftarrow \Rightarrow \nLeftarrow \nRightarrow \Leftrightarrow \nLeftrightarrow \Longleftarrow \Longrightarrow (or \implies) \Longleftrightarrow (or \iff) \Leftarrow \Rightarrow \nLeftarrow \nRightarrow \Leftrightarrow \nLeftrightarrow \Longleftarrow \Longrightarrow \Longleftrightarrow
\uparrow \downarrow \updownarrow \Uparrow \Downarrow \Updownarrow \nearrow \searrow \swarrow \nwarrow \uparrow \downarrow \updownarrow \Uparrow \Downarrow \Updownarrow \nearrow \searrow \swarrow \nwarrow
\rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \leftrightharpoons \rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \leftrightharpoons \,
\curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \Rrightarrow \rightarrowtail \looparrowright \curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \Rrightarrow \rightarrowtail \looparrowright \,
\curvearrowright \circlearrowright \Rsh \downdownarrows \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft \curvearrowright \circlearrowright \Rsh \downdownarrows \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft \,
\mapsto \longmapsto \hookrightarrow \hookleftarrow \multimap \leftrightsquigarrow \rightsquigarrow \mapsto \longmapsto \hookrightarrow \hookleftarrow \multimap \leftrightsquigarrow \rightsquigarrow \,

Специальные

\And \eth \S \P \% \dagger \ddagger \ldots \cdots \And \eth \S \P \% \dagger \ddagger \ldots \cdots\,
\smile \frown \wr \triangleleft \triangleright \infty \bot \top \smile \frown \wr \triangleleft \triangleright \infty \bot \top\,
\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar \vdash \vDash \Vdash \models \lVert \rVert \imath \hbar\,
\ell \mho \Finv \Re \Im \wp \complement \ell \mho \Finv \Re \Im \wp \complement\,
\diamondsuit \heartsuit \clubsuit \spadesuit \Game \flat \natural \sharp \diamondsuit \heartsuit \clubsuit \spadesuit \Game \flat \natural \sharp\,

Не отсортированное

\vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown \vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown
\blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge \blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge
\veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes \veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes
\rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant \rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant
\eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq \eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq
\fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft \fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft
\Vvdash \bumpeq \Bumpeq \eqsim \gtrdot \Vvdash \bumpeq \Bumpeq \eqsim \gtrdot
\ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq \ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq
\Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \between \shortparallel \pitchfork \Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \between \shortparallel \pitchfork
\varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq \varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq
\lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid \lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid
\nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr \nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr
\subsetneq \subsetneq
\ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq \ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq
\succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq \succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq
\nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq \nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq
\jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus \jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus\,
\oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq \oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq\,
\dashv \asymp \doteq \parallel \dashv \asymp \doteq \parallel\,
\ulcorner \urcorner \llcorner \lrcorner \ulcorner \urcorner \llcorner \lrcorner

Выражения

Индексы, интегралы

Feature Syntax How it looks rendered
HTML PNG
Superscript a^2 a^2 a^2 \,
Subscript a_2 a_2 a_2 \,
Grouping a^{2+2} a^{2+2} a^{2+2}\,
a_{i,j} a_{i,j} a_{i,j}\,
Combining sub & super without and with horizontal separation x_2^3 x_2^3 x_2^3 \,
{x_2}^3 {x_2}^3 {x_2}^3 \,
Super super 10^{10^{ \,\!{8} } 10^{10^{ \,\! 8 } }
Super super 10^{10^{ \overset{8}{} }} 10^{10^{ \overset{8}{} }}
Super super (wrong in HTML in some browsers) 10^{10^8} 10^{10^8}
Preceding and/or Additional sub & super _nP_k _nP_k _nP_k \,
\sideset{_1^2}{_3^4}\prod_a^b \sideset{_1^2}{_3^4}\prod_a^b
{}_1^2\!\Omega_3^4 {}_1^2\!\Omega_3^4
Stacking \overset{\alpha}{\omega} \overset{\alpha}{\omega}
\underset{\alpha}{\omega} \underset{\alpha}{\omega}
\overset{\alpha}{\underset{\gamma}{\omega}} \overset{\alpha}{\underset{\gamma}{\omega}}
\stackrel{\alpha}{\omega} \stackrel{\alpha}{\omega}
Derivative (forced PNG) x', y'', f', f''   x', y'', f', f''
Derivative (f in italics may overlap primes in HTML) x', y'', f', f'' x', y'', f', f'' x', y'', f', f''
Derivative (wrong in HTML) x^\prime, y^{\prime\prime} x^\prime, y^{\prime\prime} x^\prime, y^{\prime\prime}\,
Derivative (wrong in PNG) x\prime, y\prime\prime x\prime, y\prime\prime x\prime, y\prime\prime\,
Derivative dots \dot{x}, \ddot{x} \dot{x}, \ddot{x}
Underlines, overlines, vectors \hat a \ \bar b \ \vec c \hat a \ \bar b \ \vec c
\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f} \overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f}
\overline{g h i} \ \underline{j k l} \overline{g h i} \ \underline{j k l}
\not 1 \ \cancel{123} \not 1 \ \cancel{123}
Arrows A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C
Overbraces \overbrace{ 1+2+\cdots+100 }^{\text{sum}\,=\,5050} \overbrace{ 1+2+\cdots+100 }^{\text{sum}\,=\,5050}
Underbraces \underbrace{ a+b+\cdots+z }_{26\text{ terms}} \underbrace{ a+b+\cdots+z }_{26\text{ terms}}
Sum \sum_{k=1}^N k^2 \sum_{k=1}^N k^2
Sum (force \textstyle) \textstyle \sum_{k=1}^N k^2 \textstyle \sum_{k=1}^N k^2
Product \prod_{i=1}^N x_i \prod_{i=1}^N x_i
Product (force \textstyle) \textstyle \prod_{i=1}^N x_i \textstyle \prod_{i=1}^N x_i
Coproduct \coprod_{i=1}^N x_i \coprod_{i=1}^N x_i
Coproduct (force \textstyle) \textstyle \coprod_{i=1}^N x_i \textstyle \coprod_{i=1}^N x_i
Limit \lim_{n \to \infty}x_n \lim_{n \to \infty}x_n
Limit (force \textstyle) \textstyle \lim_{n \to \infty}x_n \textstyle \lim_{n \to \infty}x_n
Integral \int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx \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 \int_{1}^{3}\frac{e^3/x}{x^2}\, dx
Integral (force \textstyle) \textstyle \int\limits_{-N}^{N} e^x\, dx \textstyle \int\limits_{-N}^{N} e^x\, dx
Integral (force \textstyle, alternate limits style) \textstyle \int_{-N}^{N} e^x\, dx \textstyle \int_{-N}^{N} e^x\, dx
Double integral \iint\limits_D \, dx\,dy \iint\limits_D \, dx\,dy
Triple integral \iiint\limits_E \, dx\,dy\,dz \iiint\limits_E \, dx\,dy\,dz
Quadruple integral \iiiint\limits_F \, dx\,dy\,dz\,dt \iiiint\limits_F \, dx\,dy\,dz\,dt
Line or path integral \int_C x^3\, dx + 4y^2\, dy \int_C x^3\, dx + 4y^2\, dy
Closed line or path integral \oint_C x^3\, dx + 4y^2\, dy \oint_C x^3\, dx + 4y^2\, dy
Intersections \bigcap_1^n p \bigcap_1^n p
Unions \bigcup_1^k p \bigcup_1^k p

Фракции, матрицы, модули...

Feature Syntax How it looks rendered
Fractions \frac{1}{2}=0.5 \frac{1}{2}=0.5
Small ("text style") fractions \tfrac{1}{2} = 0.5 \tfrac{1}{2} = 0.5
Large ("display style") fractions \dfrac{k}{k-1} = 0.5 \dfrac{k}{k-1} = 0.5
Mixture of large and small fractions \dfrac{ \tfrac{1}{2}[1-(\tfrac{1}{2})^n] }{ 1-\tfrac{1}{2} } = s_n \dfrac{ \tfrac{1}{2}[1-(\tfrac{1}{2})^n] }{ 1-\tfrac{1}{2} } = s_n
Continued fractions (note the difference in formatting) 
\cfrac{2}{ c + \cfrac{2}{ d + \cfrac{1}{2} } } = a
\qquad
\dfrac{2}{ c + \dfrac{2}{ d + \dfrac{1}{2} } } = a
 \cfrac{2}{ c + \cfrac{2}{ d + \cfrac{1}{2} } } = a \qquad \dfrac{2}{ c + \dfrac{2}{ d + \dfrac{1}{2} } } = a
Binomial coefficients \binom{n}{k} \binom{n}{k}
Small ("text style") binomial coefficients \tbinom{n}{k} \tbinom{n}{k}
Large ("display style") binomial coefficients \dbinom{n}{k} \dbinom{n}{k}
Matrices 
\begin{matrix}
x & y \\
z & v 
\end{matrix}
 \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{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} 0 & \cdots & 0 \\ \vdots & \ddots & \vdots \\ 0 & \cdots & 0\end{bmatrix} 
\begin{Bmatrix}
x & y \\
z & v
\end{Bmatrix}
 \begin{Bmatrix} x & y \\ z & v \end{Bmatrix} 
\begin{pmatrix}
x & y \\
z & v 
\end{pmatrix}
 \begin{pmatrix} x & y \\ z & v \end{pmatrix} 
\bigl( \begin{smallmatrix}
a&b\\ c&d
\end{smallmatrix} \bigr)
\bigl( \begin{smallmatrix} a&b\\ c&d \end{smallmatrix} \bigr)
Arrays 
\begin{array}{|c|c||c|} a & b & S \\
\hline
0&0&1\\
0&1&1\\
1&0&1\\
1&1&0\\
\end{array}
\begin{array}{|c|c||c|} a & b & S \\ \hline 0&0&1\\ 0&1&1\\ 1&0&1\\ 1&1&0\\ \end{array}
Cases 
f(n) = 
\begin{cases} 
n/2,  & \mbox{if }n\mbox{ is even} \\
3n+1, & \mbox{if }n\mbox{ is odd} 
\end{cases}
 f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases}
System of equations 
\begin{cases}
3x + 5y +  z &= 1 \\
7x - 2y + 4z &= 2 \\
-6x + 3y + 2z &= 3
\end{cases}
 \begin{cases} 3x + 5y + z &= 1 \\ 7x - 2y + 4z &= 2 \\ -6x + 3y + 2z &= 3 \end{cases}
Breaking up a long expression so it wraps when necessary 
<math>f(x) = \sum_{n=0}^\infty a_n x^n</math>
<math>= a_0 + a_1x + a_2x^2 + \cdots</math>
 f(x) = \sum_{n=0}^\infty a_n x^n = a_0 + a_1x + a_2x^2 + \cdots
Multiline equations 
\begin{align}
f(x) & = (a+b)^2 \\
& = a^2+2ab+b^2 \\
\end{align}
\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}
\begin{alignat}{2} f(x) & = (a-b)^2 \\ & = a^2-2ab+b^2 \\ \end{alignat}
Multiline equations with aligment specified (left, center, right) 
\begin{array}{lcl}
z        & = & a \\
f(x,y,z) & = & x + y + z  
\end{array}
 \begin{array}{lcl} z & = & a \\ f(x,y,z) & = & x + y + z \end{array} 
\begin{array}{lcr}
z        & = & a \\
f(x,y,z) & = & x + y + z     
\end{array}
 \begin{array}{lcr} z & = & a \\ f(x,y,z) & = & x + y + z \end{array}

Скобки больших выражений...

Feature Syntax How it looks rendered
Bad ( \frac{1}{2} ) ( \frac{1}{2} )
Good \left ( \frac{1}{2} \right ) \left ( \frac{1}{2} \right )

Вы можете использовать различные разделители с \left и \right:

Feature Syntax How it looks rendered
Parentheses \left ( \frac{a}{b} \right ) \left ( \frac{a}{b} \right )
Brackets \left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack \left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack
Braces (note the backslash before the braces in the code) \left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace \left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace
Angle brackets \left \langle \frac{a}{b} \right \rangle \left \langle \frac{a}{b} \right \rangle
Bars and double bars (note: "bars" provide the absolute value function) \left | \frac{a}{b} \right \vert \left \Vert \frac{c}{d} \right \| \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 \left \lfloor \frac{a}{b} \right \rfloor \left \lceil \frac{c}{d} \right \rceil
Slashes and backslashes \left / \frac{a}{b} \right \backslash \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 \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 are both used \left [ 0,1 \right )
\left \langle \psi \right | 		\left [ 0,1 \right )
\left \langle \psi \right |
Use \left. or \right. if you don't want a delimiter to appear: \left . \frac{A}{B} \right \} \to X \left . \frac{A}{B} \right \} \to X
Size of the delimiters \big( \Big( \bigg( \Bigg( \dots \Bigg] \bigg] \Big] \big]<code> \big( \Big( \bigg( \Bigg( \dots \Bigg] \bigg] \Big] \big]
<code>\big\{ \Big\{ \bigg\{ \Bigg\{ \dots \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle \big\{ \Big\{ \bigg\{ \Bigg\{ \dots \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle
\big| \Big| \bigg| \Bigg| \dots \Bigg\| \bigg\| \Big\| \big\| \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\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\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\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 \big / \Big / \bigg / \Bigg / \dots \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash

Алфавиты и шрифты

Greek alphabet
\Alpha \Beta \Gamma \Delta \Epsilon \Zeta \Alpha \Beta \Gamma \Delta \Epsilon \Zeta \,
\Eta \Theta \Iota \Kappa \Lambda \Mu \Eta \Theta \Iota \Kappa \Lambda \Mu \,
\Nu \Xi \Omicron \Pi \Rho \Sigma \Tau \Nu \Xi \Omicron \Pi \Rho \Sigma \Tau\,
\Upsilon \Phi \Chi \Psi \Omega \Upsilon \Phi \Chi \Psi \Omega \,
\alpha \beta \gamma \delta \epsilon \zeta \alpha \beta \gamma \delta \epsilon \zeta \,
\eta \theta \iota \kappa \lambda \mu \eta \theta \iota \kappa \lambda \mu \,
\nu \xi \omicron \pi \rho \sigma \tau \nu \xi \pi \omicron \rho \sigma \tau \,
\upsilon \phi \chi \psi \omega \upsilon \phi \chi \psi \omega \,
\varepsilon \digamma \vartheta \varkappa \varepsilon \digamma \vartheta \varkappa \,
\varpi \varrho \varsigma \varphi \varpi \varrho \varsigma \varphi\,
Blackboard Bold/Scripts
\mathbb{A} \mathbb{B} \mathbb{C} \mathbb{D} \mathbb{E} \mathbb{F} \mathbb{G} \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{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{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} \mathbb{U} \mathbb{V} \mathbb{W} \mathbb{X} \mathbb{Y} \mathbb{Z}\,
\C \N \Q \R \Z \C \N \Q \R \Z
boldface (vectors)
\mathbf{A} \mathbf{B} \mathbf{C} \mathbf{D} \mathbf{E} \mathbf{F} \mathbf{G} \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{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{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{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{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{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{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{u} \mathbf{v} \mathbf{w} \mathbf{x} \mathbf{y} \mathbf{z} \,
\mathbf{0} \mathbf{1} \mathbf{2} \mathbf{3} \mathbf{4} \mathbf{0} \mathbf{1} \mathbf{2} \mathbf{3} \mathbf{4} \,
\mathbf{5} \mathbf{6} \mathbf{7} \mathbf{8} \mathbf{9} \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{\Alpha} \boldsymbol{\Beta} \boldsymbol{\Gamma} \boldsymbol{\Delta} \boldsymbol{\Epsilon} \boldsymbol{\Zeta} \,
\boldsymbol{\Eta} \boldsymbol{\Theta} \boldsymbol{\Iota} \boldsymbol{\Kappa} \boldsymbol{\Lambda} \boldsymbol{\Mu} \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{\Nu} \boldsymbol{\Xi} \boldsymbol{\Pi} \boldsymbol{\Rho} \boldsymbol{\Sigma} \boldsymbol{\Tau}\,
\boldsymbol{\Upsilon} \boldsymbol{\Phi} \boldsymbol{\Chi} \boldsymbol{\Psi} \boldsymbol{\Omega} \boldsymbol{\Upsilon} \boldsymbol{\Phi} \boldsymbol{\Chi} \boldsymbol{\Psi} \boldsymbol{\Omega}\,
\boldsymbol{\alpha} \boldsymbol{\beta} \boldsymbol{\gamma} \boldsymbol{\delta} \boldsymbol{\epsilon} \boldsymbol{\zeta} \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{\eta} \boldsymbol{\theta} \boldsymbol{\iota} \boldsymbol{\kappa} \boldsymbol{\lambda} \boldsymbol{\mu}\,
\boldsymbol{\nu} \boldsymbol{\xi} \boldsymbol{\pi} \boldsymbol{\rho} \boldsymbol{\sigma} \boldsymbol{\tau} \boldsymbol{\nu} \boldsymbol{\xi} \boldsymbol{\pi} \boldsymbol{\rho} \boldsymbol{\sigma} \boldsymbol{\tau}\,
\boldsymbol{\upsilon} \boldsymbol{\phi} \boldsymbol{\chi} \boldsymbol{\psi} \boldsymbol{\omega} \boldsymbol{\upsilon} \boldsymbol{\phi} \boldsymbol{\chi} \boldsymbol{\psi} \boldsymbol{\omega}\,
\boldsymbol{\varepsilon} \boldsymbol{\digamma} \boldsymbol{\vartheta} \boldsymbol{\varkappa} \boldsymbol{\varepsilon} \boldsymbol{\digamma} \boldsymbol{\vartheta} \boldsymbol{\varkappa} \,
\boldsymbol{\varpi} \boldsymbol{\varrho} \boldsymbol{\varsigma} \boldsymbol{\varphi} \boldsymbol{\varpi} \boldsymbol{\varrho} \boldsymbol{\varsigma} \boldsymbol{\varphi}\,
Italics
\mathit{A} \mathit{B} \mathit{C} \mathit{D} \mathit{E} \mathit{F} \mathit{G} \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{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{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{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{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{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{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{u} \mathit{v} \mathit{w} \mathit{x} \mathit{y} \mathit{z} \,
\mathit{0} \mathit{1} \mathit{2} \mathit{3} \mathit{4} \mathit{0} \mathit{1} \mathit{2} \mathit{3} \mathit{4} \,
\mathit{5} \mathit{6} \mathit{7} \mathit{8} \mathit{9} \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{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{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{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{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{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{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{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{u} \mathrm{v} \mathrm{w} \mathrm{x} \mathrm{y} \mathrm{z} \,
\mathrm{0} \mathrm{1} \mathrm{2} \mathrm{3} \mathrm{4} \mathrm{0} \mathrm{1} \mathrm{2} \mathrm{3} \mathrm{4} \,
\mathrm{5} \mathrm{6} \mathrm{7} \mathrm{8} \mathrm{9} \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{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{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{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{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{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{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{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{u} \mathfrak{v} \mathfrak{w} \mathfrak{x} \mathfrak{y} \mathfrak{z} \,
\mathfrak{0} \mathfrak{1} \mathfrak{2} \mathfrak{3} \mathfrak{4} \mathfrak{0} \mathfrak{1} \mathfrak{2} \mathfrak{3} \mathfrak{4} \,
\mathfrak{5} \mathfrak{6} \mathfrak{7} \mathfrak{8} \mathfrak{9} \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{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{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{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} \mathcal{U} \mathcal{V} \mathcal{W} \mathcal{X} \mathcal{Y} \mathcal{Z}\,
Hebrew
\aleph \beth \gimel \daleth \aleph \beth \gimel \daleth\,


Feature Syntax How it looks rendered
non-italicised characters \mbox{abc} \mbox{abc} \mbox{abc} \,
mixed italics (bad) \mbox{if} n \mbox{is even} \mbox{if} n \mbox{is even} \mbox{if} n \mbox{is even} \,
mixed italics (good) \mbox{if }n\mbox{ is even} \mbox{if }n\mbox{ is even} \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} \mbox{if}~n\ \mbox{is even} \mbox{if}~n\ \mbox{is even} \,

Цвет

В формулах можно использовать цветной текст:

  • {\color{Blue}x^2}+{\color{YellowOrange}2x}-{\color{OliveGreen}1}
    {\color{Blue}x^2}+{\color{YellowOrange}2x}-{\color{OliveGreen}1}
  • x_{1,2}=\frac{-b\pm\sqrt{\color{Red}b^2-4ac}}{2a}
    x_{1,2}=\frac{-b\pm\sqrt{\color{Red}b^2-4ac}}{2a}

Кроме того, можно изменить цвет фона, как в следующем примере:

Background Wikicode Rendering (in PNG)
White e^{i \pi} + 1 = 0 e^{i \pi} + 1 = 0\,
\definecolor{orange}{RGB}{255,165,0}\pagecolor{orange}e^{i \pi} + 1 = 0 \definecolor{orange}{RGB}{255,165,0}\pagecolor{orange}e^{i \pi} + 1 = 0\,</span>
Orange e^{i \pi} + 1 = 0 e^{i \pi} + 1 = 0\,
\definecolor{orange}{RGB}{255,165,0}\pagecolor{orange}e^{i \pi} + 1 = 0 \definecolor{orange}{RGB}{255,165,0}\pagecolor{orange}e^{i \pi} + 1 = 0\,

Форматирование

Расстояние

Note that Шаблон:TeX handles most spacing automatically, but you may sometimes want manual control.

Feature Syntax How it looks rendered
double quad space a \qquad b a \qquad b
quad space a \quad b a \quad b
text space a\ b a\ b
text space without PNG conversion a \mbox{ } b a \mbox{ } b
large space a\;b a\;b
medium space a\>b [not supported]
small space a\,b a\,b
no space ab ab\,
small negative space a\!b a\!b

Автоматический интервал может быть нарушен в очень длинных выражениях (потому что они производят переполненный горизонтальный бокс в ТеХ):

<math>0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\cdots</math>
0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\cdots

Это можно исправить, поставив пару фигурных скобок {} по всему выражению:

<math>{0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\cdots}</math>
{0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\cdots}

Примеры

Quadratic Polynomial

ax^2 + bx + c = 0

<math>ax^2 + bx + c = 0</math>

Quadratic Polynomial (Force PNG Rendering)

ax^2 + bx + c = 0\,

<math>ax^2 + bx + c = 0\,</math>

Quadratic Formula

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

<math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math>

Tall Parentheses and Fractions 

2 = \left( \frac{\left(3-x\right) \times 2}{3-x} \right)

<math>2 = \left(
 \frac{\left(3-x\right) \times 2}{3-x}
 \right)</math>

S_{\text{new}} = S_{\text{old}} - \frac{ \left( 5-T \right) ^2} {2}

 <math>S_{\text{new}} = S_{\text{old}} - \frac{ \left( 5-T \right) ^2} {2}</math>

Integrals

\int_a^x \!\!\!\int_a^s f(y)\,dy\,ds = \int_a^x f(y)(x-y)\,dy

<math>\int_a^x \!\!\!\int_a^s f(y)\,dy\,ds
 = \int_a^x f(y)(x-y)\,dy</math>

Summation

\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n}{3^m\left(m\,3^n+n\,3^m\right)}

<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 

u'' + p(x)u' + q(x)u=f(x),\quad x>a

<math>u'' + p(x)u' + q(x)u=f(x),\quad x>a</math>

Complex numbers

|\bar{z}| = |z|, |(\bar{z})^n| = |z|^n, \arg(z^n) = n \arg(z)

<math>|\bar{z}| = |z|,
 |(\bar{z})^n| = |z|^n,
 \arg(z^n) = n \arg(z)</math>

Limits

\lim_{z\rightarrow z_0} f(z)=f(z_0)

<math>\lim_{z\rightarrow z_0} f(z)=f(z_0)</math>

Integral Equation

\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>\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

\phi_n(\kappa) = 0.033C_n^2\kappa^{-11/3},\quad \frac{1}{L_0}\ll\kappa\ll\frac{1}{l_0}

<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

f(x) = \begin{cases}1 & -1 \le x < 0 \\
 \frac{1}{2} & x = 0 \\ 1 - x^2 & \mbox{otherwise}\end{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

{}_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>{}_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

 \frac {a}{b}    \tfrac {a}{b} 
<math> \frac {a}{b}\  \tfrac {a}{b} </math>

Источник

Источник — «http://wiki.nios.ru/index.php?title=Math.Математические_формулы&oldid=79820»
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