Греческие буквы
| | | |
| | | |
| |
| \alpha | \alpha |
\iota | \iota |
\varrho | \varrho |
| \beta | \beta |
\kappa | \kappa |
\sigma | \sigma |
| \gamma | \gamma |
\lambda | \lambda |
\varsigma | \varsigma |
| \delta | \delta |
\mu | \mu |
\tau | \tau |
| \epsilon | \epsilon |
\nu | \nu |
\upsilon | \upsilon |
| \varepsilon | \varepsilon |
\xi | \xi |
\phi | \phi |
| \zeta | \zeta |
o | o |
\varphi | \varphi |
| \eta | \eta |
\pi | \pi |
\chi | \chi |
| \theta | \theta |
\varpi | \varpi |
\psi | \psi |
| \vartheta | \vartheta |
\rho | \rho |
\omega | \omega |
|
| \Gamma | \Gamma |
\Xi | \Xi |
\Phi | \Phi |
| \Delta | \Delta |
\Pi | \Pi |
\Psi | \Psi |
| \Theta | \Theta |
\Sigma | \Sigma |
\Omega | \Omega |
| \Lambda | \Lambda |
\Upsilon | \Upsilon |
Специальные символы
| | | |
| | | |
| |
| \aleph | \aleph |
\prime | \prime |
\forall | \forall |
| \hbar | \hbar |
\emptyset | \emptyset |
\exists | \exists |
| \imath | \imath |
\nabla | \nabla |
\neg | \neg |
| \jmath | \jmath |
\surd | \surd |
\flat | \flat |
| \ell | \ell |
\top | \top |
\natural | \natural |
| \wp | \wp |
\bot | \bot |
\sharp | \sharp |
| \Re | \Re |
\| | \| |
\clubsuit | \clubsuit |
| \Im | \Im |
\angle | \angle |
\diamondsuit | \diamondsuit |
| \partial | \partial |
\triangle | \triangle |
\heartsuit | \heartsuit |
| \infty | \infty |
\backslash | \backslash |
\spadesuit | \spadesuit |
| | | |
| | | |
| | | |
| |
| \strut\ldots | \ldots |
\strut\cdots | \cdots |
\strut\vdots | \vdots |
\strut\ddots | \ddots |
Функции
| | | |
| | | |
| |
| \arcsin | \arcsin |
\dim | \dim |
\log | \log |
| \arccos | \arccos |
\exp | \exp |
\max | \max |
| \arctan | \arctan |
\gcd | \gcd |
\min | \min |
| \arg | \arg |
\hom | \hom |
\Pr | \Pr |
| \cos | \cos |
\inf | \inf |
\sec | \sec |
| \cosh | \cosh |
\ker | \ker |
\sin | \sin |
| \cot | \cot |
\lg | \lg |
\sinh | \sinh |
| \coth | \coth |
\lim | \lim |
\sup | \sup |
| \csc | \csc |
\liminf | \liminf |
\tan | \tan |
| \deg | \deg |
\limsup | \limsup |
\tanh | \tanh |
| \det | \det |
\ln | \ln |
Математические операторы
| | | | |
| | | | |
| | |
| \sum | \displaystyle\sum | \sum |
\bigcap | \displaystyle\bigcap | \bigcap |
\bigodot | \displaystyle\bigodot | \bigodot |
| \prod | \displaystyle\prod | \prod |
\bigcup | \displaystyle\bigcup | \bigcup |
\bigotimes | \displaystyle\bigotimes | \bigotimes |
| \coprod | \displaystyle\coprod | \coprod |
\bigsqcup | \displaystyle\bigsqcup | \bigsqcup |
\bigoplus | \displaystyle\bigoplus | \bigoplus |
| \int | \displaystyle\int | \int |
\bigvee | \displaystyle\bigvee | \bigvee |
\biguplus | \displaystyle\biguplus | \biguplus |
| \oint | \displaystyle\oint | \oint |
\bigwedge | \displaystyle\bigwedge | \bigwedge |
Винарные отношения В дополнение к + и -:
| | | |
| | | |
| |
| \pm | \pm |
\cap | \cap |
\vee | \vee |
| \mp | \mp |
\cup | \cup |
\wedge | \wedge |
| \setminus | \setminus |
\uplus | \uplus |
\oplus | \oplus |
| \cdot | \cdot |
\sqcap | \sqcap |
\ominus | \ominus |
| \times | \times |
\sqcup | \sqcup |
\otimes | \otimes |
| \ast | \ast |
\triangleleft | \triangleleft |
\oslash | \oslash |
| \star | \star |
\triangleright | \triangleright |
\odot | \odot |
| \diamond | \diamond |
\wr | \wr |
\dagger | \dagger |
| \circ | \circ |
\bigcirc | \bigcirc |
\ddagger | \ddagger |
| \bullet | \bullet |
\bigtriangleup | \bigtriangleup |
\amalg | \amalg |
| \div | \div |
\bigtriangledown | \bigtriangledown |
| | |
| | | |
| a\bmod p | a \bmod p |
a\equiv b\pmod{p} | a\equiv b \pmod{p} |
Отношения
| | | |
| | | |
| |
| < | < |
> | > |
= | = |
| \leq | \leq |
\geq | \geq |
\equiv | \equiv |
| \prec | \prec |
\succ | \succ |
\sim | \sim |
| \preceq | \preceq |
\succeq | \succeq |
\simeq | \simeq |
| \ll | \ll |
\gg | \gg |
\asymp | \asymp |
| \subset | \subset |
\supset | \supset |
\approx | \approx |
| \subseteq | \subseteq |
\supseteq | \supseteq |
\cong | \cong |
| \sqsubseteq | \sqsubseteq |
\sqsupseteq | \sqsupseteq |
\bowtie | \bowtie |
| \in | \in |
\ni | \ni |
\propto | \propto |
| \vdash | \vdash |
\dashv | \dashv |
\models | \models |
| \smile | \smile |
\mid | \mid |
\doteq | \doteq |
| \frown | \frown |
\parallel | \parallel |
\perp | \perp |
Отношения отрицания
| | | |
| | | |
| |
| \ \not< | \not< |
\ \not> | \not> |
\ \not= | \not= |
| \ \not\leq | \not\leq |
\ \not\geq | \not\geq |
\ \not\equiv | \not\equiv |
| \ \not\prec | \not\prec |
\ \not\succ | \not\succ |
\ \not\sim | \not\sim |
| \ \not\preceq | \not\preceq |
\ \not\succeq | \not\succeq |
\ \not\simeq | \not\simeq |
| \ \not\subset | \not\subset |
\ \not\supset | \not\supset |
\ \not\approx | \not\approx |
| \ \not\subseteq | \not\subseteq |
\ \not\supseteq | \not\supseteq |
\ \not\cong | \not\cong |
| \ \not\sqsubseteq | \not\sqsubseteq |
\ \not\sqsupseteq | \not\sqsupseteq |
\ \not\asymp | \not\asymp |
| |
\ \notin | \notin |
Стрелки
| | | |
| | | |
| |
| \leftarrow | \leftarrow |
\longleftarrow | \longleftarrow |
\uparrow | \uparrow |
| \Leftarrow | \Leftarrow |
\Longleftarrow | \Longleftarrow |
\Uparrow | \Uparrow |
| \rightarrow | \rightarriw |
\longrightarrow | \longrightarrow |
\downarrow | \downarrow |
| \Rightarrow | \Rightarrow |
\Longrightarrow | \Longrightarrow |
\Downarrow | \Downarrow |
| \leftrightarrow | \leftrightarrow |
\longleftrightarrow | \longleftrightarrow |
\updownarrow | \updownarrow |
| \Leftrightarrow | \Leftrightarrow |
\Longleftrightarrow | \Longleftrightarrow |
\Updownarrow | \Updownarrow |
| \mapsto | \mapsto |
\longmapsto | \longmapsto |
\nearrow | \nearrow |
| \hookleftarrow | \hookleftarrow |
\hookrightarrow | \hookrightarrow |
\searrow | \searrow |
| \leftharpoonup | \leftharpoonup |
\rightharpoonup | \rightharpoonup |
\swarrow | \swarrow |
| \leftharpoondown | \leftharpoondown |
\rightharpoondown | \rightharpoondown |
\nwarrow | \nwarrow |
| \rightleftharpoons | \rightleftharpoons |
Ограничители
\hbox{normal:}\qquad
(\; )\; [\; ]\; \{\; \}\; \lfloor\;\rfloor\; \lceil\;\rceil\;
\langle\;\rangle\; /\; \backslash\; |\;\vert\;\Vert\;
\uparrow\; \Uparrow\; \downarrow\;\Downarrow\;
\updownarrow\;\Updownarrow\;
\lgroup\;\rgroup\; \lmoustache\;\rmoustache
\hbox{\big:}\qquad
\big(\; \big)\; \big[\; \big]\; \big\{\; \big\}\;
\big\lfloor\;\big\rfloor\; \big\lceil\;\big\rceil\;
\big\langle\;\big\rangle\; \big/\; \big\backslash\; \big\vert\;\big\Vert\;
\big\uparrow\; \big\Uparrow\; \big\downarrow\;\big\Downarrow\;
\big\updownarrow\;\big\Updownarrow\;
\big\lgroup\;\big\rgroup\; \big\lmoustache\;\big\rmoustache
\hbox{\Big:}\qquad
\Big(\; \Big)\; \Big[\; \Big]\; \Big\{\; \Big\}\;
\Big\lfloor\;\Big\rfloor\; \Big\lceil\;\Big\rceil\;
\Big\langle\;\Big\rangle\; \Big/\; \Big\backslash\; \Big\vert\;\Big\Vert\;
\Big\uparrow\; \Big\Uparrow\; \Big\downarrow\;\Big\Downarrow\;
\Big\updownarrow\;\Big\Updownarrow\;
\Big\lgroup\;\Big\rgroup\; \Big\lmoustache\;\Big\rmoustache
\hbox{\bigg:}\qquad
\bigg(\; \bigg)\; \bigg[\; \bigg]\; \bigg\{\; \bigg\}\;
\bigg\lfloor\;\bigg\rfloor\; \bigg\lceil\;\bigg\rceil\;
\bigg\langle\;\bigg\rangle\; \bigg/\; \bigg\backslash\; \bigg\vert\;\bigg\Vert\;
\bigg\uparrow\; \bigg\Uparrow\; \bigg\downarrow\;\bigg\Downarrow\;
\bigg\updownarrow\;\bigg\Updownarrow\;
\bigg\lgroup\;\bigg\rgroup\; \bigg\lmoustache\;\bigg\rmoustache
\hbox{\Bigg:}\qquad
\Bigg(\; \Bigg)\; \Bigg[\; \Bigg]\; \Bigg\{\; \Bigg\}\;
\Bigg\lfloor\;\Bigg\rfloor\; \Bigg\lceil\;\Bigg\rceil\;
\Bigg\langle\;\Bigg\rangle\; \Bigg/\; \Bigg\backslash\; \Bigg\vert\;\Bigg\Vert\;
\Bigg\uparrow\; \Bigg\Uparrow\; \Bigg\downarrow\;\Bigg\Downarrow\;
\Bigg\updownarrow\;\Bigg\Updownarrow\;
\Bigg\lgroup\;\Bigg\rgroup\; \Bigg\lmoustache\;\Bigg\rmoustache
Составные конструкции
| \overline{x+y+z} | \overline{x+y+z} |
| \underline{x+y+z} |
\underline{x+y+z} |
| \overbrace{x+\cdots+x}^{k\;\rm times} |
\overbrace{x+\cdots+x}^{k\;\rm times} |
| \underbrace{x+\cdots+x}_{k\;\rm times} |
\underbrace{x+\cdots+x}_{k\;\rm times} |
| \overleftarrow{x_1+\cdots+x_k} |
\overleftarrow{x_1+\cdots+x_k} |
| \overrightarrow{x_1+\cdots+x_k} |
\overrightarrow{x_1+\cdots+x_k} |
Матрицы и массивы
| {n \choose 2} |
| \displaystyle{n \choose 2} |
|
| {n \brack 2} |
| \displaystyle{n \brack 2} |
|
| {n \brace 2} |
| \displaystyle{n \brace 2} |
|
f(x)=\cases {
x^2+1&\text{if $x<0$}\cr
1-x&\text{otherwise}
} |
| f(x)=\cases{x^2+1&\text{if $x<0$}\cr 1-x&\text{otherwise}} |
|
| \pmatrix{1& 0\\ 0& 1} |
| \pmatrix{1& 0\\ 0& 1} |
|
| \left[\matrix{a^2-b^2& -1\\ 1& 2ab}\right] |
| \left[\matrix{a^2-b^2& -1\\ 1& 2ab}\right] |
|
Альтернативные имена и не математические символы
| | | |
| |
| \ne | \ne or \neq | (same as \not=) |
\dagger | \dagger |
| \le | \le | (same as \leq) |
\ddagger | \ddagger |
| \ge | \ge | (same as \geq) |
| \{ | \{ | (same as \lbrace) |
| \} | \} | (same as \rbrace) |
| \to | \to | (same as \rightarrow) |
| \gets | \gets | (same as \leftarrow) |
| \owns | \owns | (same as \ni) |
| \land | \land | (same as \wedge) |
| \lor | \lor | (same as \vee) |
| \lnot | \lnot | (same as \neg) |
| | | | | (same as \vert) |
| \| | \| | (same as \Vert) |
|
Вход
