特殊符号

特殊符号

本节收录一些特殊符号。

字体转换

若要对公式的某一部分字符进行字体转换,可以用 {\字体 {需转换的部分字符}} 命令,其中 \字体 部分可以参照下表选择合适的字体。一般情况下,公式默认为意大利体.

输入

说明

显示实例

\rm

罗马体

\({\rm D}\)

\cal

花体

\(\cal D\)

\it

意大利体

\(\it D\)

\Bbb

黑板粗体

\(\Bbb D\)

\bf

粗体

\(\bf D\)

\mit

数学斜体

\(\mit D\)

\sf

等线体

\(\sf D\)

\scr

手写体

\(\scr D\)

\tt

打字机体

\(\tt D\)

\frak

旧德式字体

\(\frak D\)

\boldsymbol

黑体

\(\boldsymbol{X}\), \(\boldsymbol{x}\)

希腊字母

输入 \小写希腊字母英文全称\首字母大写希腊字母英文全称 来分别输入小写和大写希腊字母。对于大写希腊字母与现有字母相同的,直接输入大写字母即可。

输入

显示

输入

显示

$\alpha$

\(\alpha\)

$A$

\(A\)

$\beta$

\(\beta\)

$B$

\(B\)

$\gamma$

\(\gamma\)

$\Gamma$

\(\Gamma\)

$\delta$

\(\delta\)

$\Delta$

\(\Delta\)

$\epsilon$

\(\epsilon\)

$E$

\(E\)

$\zeta$

\(\zeta\)

$Z$

\(Z\)

$\eta$

\(\eta\)

$H$

\(H\)

$\theta$

\(\theta\)

$\Theta$

\(\Theta\)

$\iota$

\(\iota\)

$I$

\(I\)

$\kappa$

\(\kappa\)

$K$

\(K\)

$\lambda$

\(\lambda\)

$\Lambda$

\(\Lambda\)

$\nu$

\(\nu\)

$N$

\(N\)

$\mu$

\(\mu\)

$M$

\(M\)

$\xi$

\(\xi\)

$\Xi$

\(\Xi\)

$o$

\(o\)

$O$

\(O\)

$\pi$

\(\pi\)

$\Pi$

\(\Pi\)

$\rho$

\(\rho\)

$P$

\(P\)

$\sigma$

\(\sigma\)

$\Sigma$

\(\Sigma\)

$\tau$

\(\tau\)

$T$

\(T\)

$\upsilon$

\(\upsilon\)

$\Upsilon$

\(\Upsilon\)

$\phi$

\(\phi\)

$\Phi$

\(\Phi\)

$\chi$

\(\chi\)

$X$

\(X\)

$\psi$

\(\psi\)

$\Psi$

\(\Psi\)

$\omega$

\(\omega\)

$\Omega$

\(\Omega\)

运算符

关系运算符

markdown

集合运算符

markdown

\(\pm\)

$\pm$

\(\emptyset\)

$\emptyset$

\(\times\)

$\times$

\(\in\)

$\in$

\(\div\)

$\div$

\(\notin\)

$\notin$

\(\mid\)

$\mid$

\(\subset\)

$\subset$

\(\nmid\)

$\nmid$

\(\supset\)

$\supset$

\(\cdot\)

$\cdot$

\(\subseteq\)

$\subseteq$

\(\circ\)

$\circ$

\(\supseteq\)

$\supseteq$

\(\ast\)

$\ast$

\(\bigcap\)

$\bigcap$

\(\bigodot\)

$\bigodot$

\(\bigcup\)

$\bigcup$

\(\bigotimes\)

$\bigotimes$

\(\bigvee\)

$\bigvee$

\(\bigoplus\)

$\bigoplus$

\(\bigvee\)

$\bigvee$

\(\leq\)

$\leq$

\(\bigwedge\)

$\bigwedge$

\(\geq\)

$\geq$

\(\biguplus\)

$\biguplus$

\(\neq\)

$\neq$

\(\bigsqcup\)

$\bigsqcup$

\(\approx\)

$\approx$

\(\equiv\)

$\equiv$

\(\ll\)

$\ll$

\(\sum\)

$\sum$

\(\prod\)

$\prod$

\(\sim\)

$\sim$

\(\coprod\)

$\coprod$

\(\backsim\)

$\backsim$

\(\prec\) \(\preceq\) \(\succ\) \(\succeq\)

$\prec$ $\preceq$ $\succ$ $\succeq$

对数运算符

markdown

戴帽符号

markdown

连线符号

markdown

\(\log\)

$\log$

\(\hat{y}\)

$\hat{y}$

\(\overline{a+b+c+d}\)

$\overline{a+b+c+d}$

\(\lg\)

$\lg$

\(\check{y}\)

$\check{y}$

\(\underline{a+b+c+d}\)

$\underline{a+b+c+d}$

\(\ln\)

$\ln$

\(\breve{y}\)

$\breve{y}$

\(\overbrace{a+\underbrace{b+c}{1.0}+d}^{2.0}\)

$\overbrace{a+\underbrace{b+c}{1.0}+d}^{2.0}$

三角运算符

markdown

微积分运算符

markdown

逻辑运算符

markdown

\(\bot\)

$\bot$

\(\prime\)

$\prime$

\(\because\)

$\because$

\(\angle\)

$\angle$

\(\int\)

$\int$

\(\therefore\)

$\therefore$

\(30^\circ\)

$30^\circ$

\(\iint\)

$\iint$

\(\forall\)

$\forall$

\(\sin\)

$\sin$

\(\iiint\)

$\iiint$

\(\exists\)

$\exists$

\(\cos\)

$\cos$

\(\iiiint\)

$\iiiint$

\(\not=\)

$\not=$

\(\tan\)

$\tan$

\(\oint\)

$\oint$

\(\not>\)

$\not>$

\(\cot\)

$\cot$

\(\lim\)

$\lim$

\(\not\subset\)

$\not\subset$

\(\sec\)

$\sec$

\(\infty\)

$\infty$

\(\csc\)

$\csc$

\(\nabla\)

$\nabla$

箭头符号

markdown

\(\uparrow\)

$\uparrow$

\(\downarrow\)

$\downarrow$

\(\Uparrow\)

$\Uparrow$

\(\Downarrow\)

$\Downarrow$

\(\rightarrow\)

$\rightarrow$

\(\leftarrow\)

$\leftarrow$

\(\Rightarrow\)

$\Rightarrow$

\(\Leftarrow\)

$\Leftarrow$

\(\longrightarrow\)

$\longrightarrow$

\(\longleftarrow\)

$\longleftarrow$

\(\Longrightarrow\)

$\Longrightarrow$

\(\Longleftarrow\)

$\Longleftarrow$

\(f: {\mathbf x_t} \mapsto {\mathbf y_t}\)

$f: {\mathbf x_t} \mapsto {\mathbf y_t}$

\(\Longleftrightarrow\)

\Longleftrightarrow

  • \(\boldsymbol{\hat y} = \boldsymbol{W} \boldsymbol{x}\) 的输入 代码:

$\boldsymbol{\hat y} = \boldsymbol{W} \boldsymbol{x}$
  • \(\ell_p\) 范数: $\ell_p$

对于一些特殊的数学符号可以使用 \operatorname{} 或者 \text{} 来进行转换,如:$\text{cov}$$\operatorname{s.t.}$ 便显示为:\(\text{cov}\)\(\operatorname{s.t.}\)

还有:

$A \xrightarrow{f} B \; a \; \bot b \; \overset{def}{=}$ 

\(A \xrightarrow{f} B \; a \; \bot b \; \overset{def}{=}\)

$$
 \underset{x\in S\subseteq X}{\operatorname{arg\,max}}\, f(x) := \{x \mid x\in S \wedge \forall y \in S : f(y) \le f(x)\}.   
$$
\[ \underset{x\in S\subseteq X}{\operatorname{arg\,max}}\, f(x) := \{x \mid x\in S \wedge \forall y \in S : f(y) \le f(x)\}. \]
$$
\operatorname*{\arg\max}_{x\in S\subseteq X}\, f(x) := \{x \mid x\in S \wedge \forall y \in S : f(y) \le f(x)\}.   
$$
\[ \operatorname*{\arg\max}_{x \in S \subseteq X}\, f(x) := \{x \mid x\in S \wedge \forall y \in S : f(y) \le f(x)\}. \]

特殊符号

本节收录一些特殊符号。

字体转换

若要对公式的某一部分字符进行字体转换,可以用 {\字体 {需转换的部分字符}} 命令,其中 \字体 部分可以参照下表选择合适的字体。一般情况下,公式默认为意大利体.

输入

说明

显示实例

\rm

罗马体

\({\rm D}\)

\cal

花体

\(\cal D\)

\it

意大利体

\(\it D\)

\Bbb

黑板粗体

\(\Bbb D\)

\bf

粗体

\(\bf D\)

\mit

数学斜体

\(\mit D\)

\sf

等线体

\(\sf D\)

\scr

手写体

\(\scr D\)

\tt

打字机体

\(\tt D\)

\frak

旧德式字体

\(\frak D\)

\boldsymbol

黑体

\(\boldsymbol{X}\), \(\boldsymbol{x}\)

希腊字母

输入 \小写希腊字母英文全称\首字母大写希腊字母英文全称 来分别输入小写和大写希腊字母。对于大写希腊字母与现有字母相同的,直接输入大写字母即可。

输入

显示

输入

显示

$\alpha$

\(\alpha\)

$A$

\(A\)

$\beta$

\(\beta\)

$B$

\(B\)

$\gamma$

\(\gamma\)

$\Gamma$

\(\Gamma\)

$\delta$

\(\delta\)

$\Delta$

\(\Delta\)

$\epsilon$

\(\epsilon\)

$E$

\(E\)

$\zeta$

\(\zeta\)

$Z$

\(Z\)

$\eta$

\(\eta\)

$H$

\(H\)

$\theta$

\(\theta\)

$\Theta$

\(\Theta\)

$\iota$

\(\iota\)

$I$

\(I\)

$\kappa$

\(\kappa\)

$K$

\(K\)

$\lambda$

\(\lambda\)

$\Lambda$

\(\Lambda\)

$\nu$

\(\nu\)

$N$

\(N\)

$\mu$

\(\mu\)

$M$

\(M\)

$\xi$

\(\xi\)

$\Xi$

\(\Xi\)

$o$

\(o\)

$O$

\(O\)

$\pi$

\(\pi\)

$\Pi$

\(\Pi\)

$\rho$

\(\rho\)

$P$

\(P\)

$\sigma$

\(\sigma\)

$\Sigma$

\(\Sigma\)

$\tau$

\(\tau\)

$T$

\(T\)

$\upsilon$

\(\upsilon\)

$\Upsilon$

\(\Upsilon\)

$\phi$

\(\phi\)

$\Phi$

\(\Phi\)

$\chi$

\(\chi\)

$X$

\(X\)

$\psi$

\(\psi\)

$\Psi$

\(\Psi\)

$\omega$

\(\omega\)

$\Omega$

\(\Omega\)

运算符

关系运算符

markdown

集合运算符

markdown

\(\pm\)

$\pm$

\(\emptyset\)

$\emptyset$

\(\times\)

$\times$

\(\in\)

$\in$

\(\div\)

$\div$

\(\notin\)

$\notin$

\(\mid\)

$\mid$

\(\subset\)

$\subset$

\(\nmid\)

$\nmid$

\(\supset\)

$\supset$

\(\cdot\)

$\cdot$

\(\subseteq\)

$\subseteq$

\(\circ\)

$\circ$

\(\supseteq\)

$\supseteq$

\(\ast\)

$\ast$

\(\bigcap\)

$\bigcap$

\(\bigodot\)

$\bigodot$

\(\bigcup\)

$\bigcup$

\(\bigotimes\)

$\bigotimes$

\(\bigvee\)

$\bigvee$

\(\bigoplus\)

$\bigoplus$

\(\bigvee\)

$\bigvee$

\(\leq\)

$\leq$

\(\bigwedge\)

$\bigwedge$

\(\geq\)

$\geq$

\(\biguplus\)

$\biguplus$

\(\neq\)

$\neq$

\(\bigsqcup\)

$\bigsqcup$

\(\approx\)

$\approx$

\(\equiv\)

$\equiv$

\(\ll\)

$\ll$

\(\sum\)

$\sum$

\(\prod\)

$\prod$

\(\sim\)

$\sim$

\(\coprod\)

$\coprod$

\(\backsim\)

$\backsim$

\(\prec\) \(\preceq\) \(\succ\) \(\succeq\)

$\prec$ $\preceq$ $\succ$ $\succeq$

对数运算符

markdown

戴帽符号

markdown

连线符号

markdown

\(\log\)

$\log$

\(\hat{y}\)

$\hat{y}$

\(\overline{a+b+c+d}\)

$\overline{a+b+c+d}$

\(\lg\)

$\lg$

\(\check{y}\)

$\check{y}$

\(\underline{a+b+c+d}\)

$\underline{a+b+c+d}$

\(\ln\)

$\ln$

\(\breve{y}\)

$\breve{y}$

\(\overbrace{a+\underbrace{b+c}{1.0}+d}^{2.0}\)

$\overbrace{a+\underbrace{b+c}{1.0}+d}^{2.0}$

三角运算符

markdown

微积分运算符

markdown

逻辑运算符

markdown

\(\bot\)

$\bot$

\(\prime\)

$\prime$

\(\because\)

$\because$

\(\angle\)

$\angle$

\(\int\)

$\int$

\(\therefore\)

$\therefore$

\(30^\circ\)

$30^\circ$

\(\iint\)

$\iint$

\(\forall\)

$\forall$

\(\sin\)

$\sin$

\(\iiint\)

$\iiint$

\(\exists\)

$\exists$

\(\cos\)

$\cos$

\(\iiiint\)

$\iiiint$

\(\not=\)

$\not=$

\(\tan\)

$\tan$

\(\oint\)

$\oint$

\(\not>\)

$\not>$

\(\cot\)

$\cot$

\(\lim\)

$\lim$

\(\not\subset\)

$\not\subset$

\(\sec\)

$\sec$

\(\infty\)

$\infty$

\(\csc\)

$\csc$

\(\nabla\)

$\nabla$

箭头符号

markdown

\(\uparrow\)

$\uparrow$

\(\downarrow\)

$\downarrow$

\(\Uparrow\)

$\Uparrow$

\(\Downarrow\)

$\Downarrow$

\(\rightarrow\)

$\rightarrow$

\(\leftarrow\)

$\leftarrow$

\(\Rightarrow\)

$\Rightarrow$

\(\Leftarrow\)

$\Leftarrow$

\(\longrightarrow\)

$\longrightarrow$

\(\longleftarrow\)

$\longleftarrow$

\(\Longrightarrow\)

$\Longrightarrow$

\(\Longleftarrow\)

$\Longleftarrow$

\(f: {\mathbf x_t} \mapsto {\mathbf y_t}\)

$f: {\mathbf x_t} \mapsto {\mathbf y_t}$

\(\Longleftrightarrow\)

\Longleftrightarrow

  • \(\boldsymbol{\hat y} = \boldsymbol{W} \boldsymbol{x}\) 的输入 代码:

$\boldsymbol{\hat y} = \boldsymbol{W} \boldsymbol{x}$
  • \(\ell_p\) 范数: $\ell_p$

对于一些特殊的数学符号可以使用 \operatorname{} 或者 \text{} 来进行转换,如:$\text{cov}$$\operatorname{s.t.}$ 便显示为:\(\text{cov}\)\(\operatorname{s.t.}\)

还有:

$A \xrightarrow{f} B \; a \; \bot b \; \overset{def}{=}$ 

\(A \xrightarrow{f} B \; a \; \bot b \; \overset{def}{=}\)

$$
 \underset{x\in S\subseteq X}{\operatorname{arg\,max}}\, f(x) := \{x \mid x\in S \wedge \forall y \in S : f(y) \le f(x)\}.   
$$
\[ \underset{x\in S\subseteq X}{\operatorname{arg\,max}}\, f(x) := \{x \mid x\in S \wedge \forall y \in S : f(y) \le f(x)\}. \]
$$
\operatorname*{\arg\max}_{x\in S\subseteq X}\, f(x) := \{x \mid x\in S \wedge \forall y \in S : f(y) \le f(x)\}.   
$$
\[ \operatorname*{\arg\max}_{x \in S \subseteq X}\, f(x) := \{x \mid x\in S \wedge \forall y \in S : f(y) \le f(x)\}. \]