$\LaTeX$[置顶]

声调/变音符号

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$\dot{a} \ddot{a} \acute{a} \grave{a}$

$\dot{a}\quad \ddot{a}\quad \acute{a}\quad \grave{a}$

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$\check{a} \breve{a} \tilde{a} \bar{a}$

$\check{a}\quad \breve{a}\quad \tilde{a}\quad \bar{a}\quad$

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$\hat{a} \widehat{a} \vec{a}$

$\hat{a}\quad \widehat{a}\quad \vec{a}$

类字母符号即常数

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$\infty \aleph \complement \backepsilon \eth \Finv \hbar$

$\infty\quad \aleph\quad \complement\quad \backepsilon\quad \eth\quad \Finv\quad \hbar$

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$\Im \imath \jmath \Bbbk \ell \mho \wp \Re \circledS$

$\Im\quad \imath\quad \jmath\quad \Bbbk\quad \ell\quad \mho\quad \wp\quad \Re\quad \circledS$

数论用

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$a\equiv1\pmod{m}$

$a\equiv1\pmod{m}$

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$a\bmod b$

$a\bmod b$

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$\gcd(m,n) \operatorname{lcm}(m,n)$

$\gcd(m,n)\quad \operatorname{lcm}(m,n)$

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$\mid \nmid \shortmid \nshortmid$
ps:\mid可以用|代替。

$\mid\quad \nmid\quad \shortmid\quad \nshortmid$

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$a\%b$

$a\%b$

根号

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$\surd \sqrt{2} \sqrt[n]{} \sqrt[n]{x}$

$\surd\quad \sqrt{2}\quad \sqrt[n]{}\quad \sqrt[n]{x}$

运算符

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$+ - \pm \mp \dotplus$

$+\quad -\quad \pm\quad \mp\quad \dotplus$

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$\times \div \divideontimes / \backslash$

$\times\quad \div\quad \divideontimes\quad /\quad \backslash$

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$\cdot * \star \circ \bullet$
ps:*可以用\ast代替。

$\cdot\quad *\quad \star\quad \circ\quad \bullet$

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$\oplus \ominus \otimes \oslash \odot$

$\oplus\quad \ominus\quad \otimes\quad \oslash\quad \odot$

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$\circleddash \circledcirc \circledast$

$\circleddash\quad \circledcirc\quad \circledast$

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$\bigoplus \bigotimes \bigodot$

$\bigoplus\quad \bigotimes\quad \bigodot$

集合

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$\{ \} \emptyset \varnothing$

${\quad }\quad \emptyset\quad \varnothing$

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$\in \notin \not\in \ni \not\ni$

$\in\quad \notin\quad \not\in\quad \ni\quad \not\ni$

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$\cap \Cap \sqcap \bigcap$

$\cap\quad \Cap\quad \sqcap\quad \bigcap$

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$\cup \Cup \sqcup \bigcup \bigsqcup \uplus \biguplus$

$\cup\quad \Cup\quad \sqcup\quad \bigcup\quad \bigsqcup\quad \uplus\quad \biguplus$

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$\setminus \smallsetminus \times$

$\setminus\quad \smallsetminus\quad \times$

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$\subset \Subset \sqsubset$

$\subset\quad \Subset\quad \sqsubset$

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$\supset \Supset \sqsupset$

$\supset\quad \Supset\quad \sqsupset$

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$\subseteq \nsubseteq \subsetneq \varsubsetneq \sqsubseteq$

$\subseteq\quad \nsubseteq\quad \subsetneq\quad \varsubsetneq\quad \sqsubseteq$

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$\supseteq \nsupseteq \supsetneq \varsupsetneq \sqsupseteq$

$\supseteq\quad \nsupseteq\quad \supsetneq\quad \varsupsetneq\quad \sqsupseteq$

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$\subseteqq \nsubseteqq \subsetneqq \varsubsetneqq$

$\subseteqq\quad \nsubseteqq\quad \subsetneqq\quad \varsubsetneqq$

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$\supseteqq \nsupseteqq \supsetneqq \varsupsetneqq$

$\supseteqq\quad \nsupseteqq\quad \supsetneqq\quad \varsupsetneqq$

关系符号

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$= \ne \neq \equiv \not\equiv$

$=\quad \ne\quad \neq\quad \equiv\quad \not\equiv$

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$\doteq \doteqdot \overset{\underset{def}{}}{=} :=$

$\doteq\quad \doteqdot\quad \overset{\underset{def}{}}{=}\quad :=$

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$\sim \nsim \backsim \thicksim \simeq \backsimeq \eqsim \cong \ncong$

$\sim \quad\nsim\quad \backsim\quad \thicksim\quad \simeq \quad \backsimeq\quad \eqsim\quad \cong\quad \ncong$

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$\approx \thickapprox \approxeq \asymp \propto \varpropto$

$\approx\quad\thickapprox\quad \approxeq\quad \asymp\quad \propto\quad \varpropto$

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$< \nless \ll \not\ll \lll \not\lll \lessdot$

$<\quad \nless\quad \ll\quad \not\quad\ll \quad\lll \quad\not\lll\quad \lessdot$

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$> \ngtr \gg \not\gg \ggg \not\ggg \gtrdot$

$> \quad\ngtr\quad \gg\quad \not\gg\quad \ggg\quad \not\ggg \quad\gtrdot$

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$\le \leq \lneq \leqq \nleq \nleqq \lneqq \lvertneqq$

$\le\quad \leq\quad \lneq\quad \leqq\quad \nleq\quad \nleqq\quad \lneqq\quad \lvertneqq$

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$\ge \geq \gneq \geqq \ngeq \ngeqq \gneqq \gvertneqq$

$\ge\quad \geq\quad \gneq\quad \geqq\quad \ngeq\quad \ngeqq\quad \gneqq\quad \gvertneqq$

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$\lessgtr \lesseqgtr \lesseqqgtr \gtrless \gtreqless \gtreqqless$

$\lessgtr\quad \lesseqgtr\quad \lesseqqgtr\quad \gtrless\quad \gtreqless\quad \gtreqqless$

还有很多,大概率是用不上的,就不写了

集合符号

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$\parallel \nparallel \shortparallel \nshortparallel$

$\parallel\quad \nparallel\quad \shortparallel\quad \nshortparallel$

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$\perp \angle \sphericalangle \measuredangle 45^\circ$

$\perp\quad \angle\quad \sphericalangle\quad \measuredangle 45^\circ$

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$\Box \blacksquare \diamond \Diamond \lozenge \blacklozenge \bigstar$

$\Box\quad \blacksquare\quad \diamond\quad \Diamond\quad\lozenge\quad \blacklozenge\quad \bigstar$

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$\bigcirc \triangle \bigtriangleup \bigtriangledown$

$\bigcirc\quad \triangle\quad \bigtriangleup\quad \bigtriangledown$

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$\vartriangle \triangledown \triangleleft \triangleright$

$\vartriangle\quad\triangledown \quad\triangleleft \quad\triangleright$

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$\blacktriangle \blacktriangledown \blacktriangleleft \blacktriangleright$

$\blacktriangle\quad \blacktriangledown \quad\blacktriangleleft\quad \blacktriangleright$

逻辑符号

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$\forall \exists \nexists$

$\forall\quad \exists\quad \nexists$

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$\therefore \because \And$

$\therefore\quad \because\quad \And$

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$\lor \vee \curlyvee \bigvee$

$\lor\quad \vee\quad \curlyvee\quad \bigvee$

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$\land \wedge \curlywedge \bigwedge$

$\land\quad \wedge\quad \curlywedge\quad \bigwedge$

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$\bar{q} \bar{abc} \overline{q} \overline{abc}$

$\bar{q}\quad \bar{abc}\quad \overline{q}\quad \overline{abc}$

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$\lnot \neg \bot \top$

$\lnot\quad \neg\quad \bot\quad \top$

箭头

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$\Rrightarrow \Lleftarrow$

$\Rrightarrow\quad \Lleftarrow$

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$\Rightarrow \nRightarrow \Longrightarrow \implies$

$\Rightarrow\quad \nRightarrow\quad \Longrightarrow\quad \implies$

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$\Leftarrow \nLeftarrow \Longleftarrow$

$\Leftarrow\quad \nLeftarrow\quad \Longleftarrow$

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$\Leftrightarrow \nLeftrightarrow \Longleftrightarrow \iff$

$\Leftrightarrow\quad \nLeftrightarrow\quad \Longleftrightarrow\quad \iff$

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$\Uparrow \Downarrow \Updownarrow$

$\Uparrow \quad\Downarrow\quad \Updownarrow$

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$\leftarrow \rightarrow \nleftarrow \nrightarrow \leftrightarrow \nleftrightarrow \longleftarrow \longrightarrow \longleftrightarrow$

$\leftarrow\quad \rightarrow\quad \nleftarrow\quad \nrightarrow \quad\leftrightarrow\quad \nleftrightarrow\quad \longleftarrow\quad \longrightarrow \quad\longleftrightarrow$

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$\uparrow \downarrow \updownarrow \nearrow \searrow \nwarrow \swarrow$

$\uparrow\quad \downarrow\quad \updownarrow\quad \nearrow \quad\searrow \quad\nwarrow \quad\swarrow$

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$\mapsto \longmapsto$

$\mapsto\quad \longmapsto$

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$\rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright \leftrightharpoons \rightleftharpoons$

$\rightharpoonup \quad\rightharpoondown\quad \leftharpoonup \quad\leftharpoondown \quad\upharpoonleft\quad \upharpoonright \quad\downharpoonleft \quad\downharpoonright\quad \leftrightharpoons\quad \rightleftharpoons$

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$\curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \rightarrowtail \looparrowright$

$\curvearrowleft\quad \circlearrowleft\quad \Lsh \quad\upuparrows\quad \rightrightarrows\quad \rightleftarrows \quad\rightarrowtail \quad\looparrowright$

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$\curvearrowright \circlearrowright \Rsh \downdownarrows \leftleftarrows \leftrightarrows \leftarrowtail \looparrowleft$

$\curvearrowright\quad \circlearrowright\quad \Rsh \quad\downdownarrows \quad\leftleftarrows\quad \leftrightarrows \quad\leftarrowtail \quad\looparrowleft$

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$\hookrightarrow \hookleftarrow \multimap \leftrightsquigarrow \rightsquigarrow \twoheadrightarrow \twoheadleftarrow$

$\hookrightarrow\quad \hookleftarrow \quad\multimap \quad\leftrightsquigarrow\quad \rightsquigarrow\quad \twoheadrightarrow \quad\twoheadleftarrow$

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$\xleftarrow{left} \xrightarrow{right} \xLeftarrow{Left} \xRightarrow{Right} \xleftrightarrow{left\& right} \xLeftrightarrow{Left\& Right}$

$\xleftarrow{left}\quad \xrightarrow{right}\quad $后面四个貌似有点问题?

特殊符号

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$\amalg \% \dagger \ddagger \ldots \cdots$

$\amalg\quad \% \quad\dagger\quad \ddagger\quad \ldots\quad \cdots$

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$\smile \frown \wr$

$\smile\quad \frown\quad \wr$

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$\diamondsuit \heartsuit \clubsuit \spadesuit \Game \flat \natural \sharp$

$\diamondsuit \quad\heartsuit\quad \clubsuit\quad \spadesuit \quad\Game\quad \flat\quad \natural\quad \sharp$

上下标

简单的应用省略

前置上下标

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${}^2_1\!X^3_4$

${}^2_1!X^3_4$

导数

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$(PNG)x^\prime$

$x^\prime$

导数点

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$\dot{x} \ddot{x}$

$\dot{x}\quad\ddot{x}$

向量

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$\vec{x} \overleftarrow{AB} \overrightarrow{AB} \widehat{AB}$

$\vec{x}\quad\overleftarrow{AB}\quad\overrightarrow{AB} \quad\widehat{AB}$

上弧

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$\overarc{\frown}{AB}$
ps:正确的语法应该是\overarc,但因为没有引入amsmath宏包,所以无法使用,只能用这个替代下。

$\overset{\frown}{AB}$

上划线

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$\overline{ABC}$

$\overline{ABC}$

下划线

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$\underline{ABC}$

$\underline{ABC}$

上括号

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$\overbrace{1+2+\cdots+100}$  

$\begin{matrix}
5050\\
\overbrace{1+2+\cdots+100}
\end{matrix}$

$\overbrace{1+2+\cdots+100}$

下括号

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$\underbrace{1+2+\cdots+100}$  

$\begin{matrix}
\underbrace{1+2+\cdots+100}\\
5050
\end{matrix}$

$\underbrace{1+2+\cdots+100}$

极限

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$\lim_{n\to\infty}x_n \lim\limits_{n\to\infty}x_n$

积分

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$\int_{-N}^{N}e^x\,dx$

$\int_{-N}^{N}e^x\,dx$

双重积分

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$\iint_M^Ndx\,dy$

$\iint_M^Ndx\,dy$

三重积分

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$\iiint_M^Ndx\,dy\,dz$

$\iiint_M^Ndx\,dy\,dz$

交集

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$\bigcap_1^np \bigcap\limits_1^np$

$\bigcap_1^np\quad \bigcap\limits_1^np$

并集

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$\bigcup_1^np \bigcup\limits_1^np$

$\bigcup_1^np\quad \bigcup\limits_1^np$

分数矩阵

分数

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$\frac{1}{2}=0.5$

$\frac{1}{2}=0.5$

小型分数

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$\tfrac{1}{2}=0.5$

$\tfrac{1}{2}=0.5$

大型分数

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$\dfrac{1}{2}=0.5 \dfrac{1}{x+\dfrac{3}{y+\dfrac{1}{5}}}$

$\dfrac{1}{2}=0.5\quad \dfrac{1}{x+\dfrac{3}{y+\dfrac{1}{5}}}$

二项式系数

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$\dbinom{n}{m}=\dbinom{n}{n-m}=C_n^m=C_n^{n-m}$

$\dbinom{n}{m}=\dbinom{n}{n-m}=C_n^m=C_n^{n-m}$

小型二项式系数

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$\tbinom{n}{m}=\tbinom{n}{n-m}=C_n^m=C_n^{n-m}$

$\tbinom{n}{m}=\tbinom{n}{n-m}=C_n^m=C_n^{n-m}$

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$\binom{n}{m}=\binom{n}{n-m}=C_n^m=C_n^{n-m}$

$\binom{n}{m}=\binom{n}{n-m}=C_n^m=C_n^{n-m}$

矩阵

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$\begin{matrix}a&b\\ c&d\end{matrix}$
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$\begin{vmatrix}a&b\\ c&d\end{vmatrix}$
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$\begin{Vmatrix}a&b\\ c&d\end{Vmatrix}$
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$\begin{bmatrix}a&\cdots&b\\\vdots&\ddots&\vdots\\ c&\cdots&d\end{bmatrix}$
ps:\vdots是竖着3个点,\ddots是斜着3个点。
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$\begin{Bmatrix}a&c\\ b&d\end{Bmatrix}$
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$\begin{pmatrix}a&c\\ b&d\end{pmatrix}$

矩阵嵌套

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$\begin{vmatrix} \begin{Bmatrix}A & \\ c & d \end{Bmatrix} & x\\ \dfrac{1}{2} & \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} \end{vmatrix}$

条件定义(如分段函数)

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$f(x)=\begin{cases}x-1&x\leqslant3\\ x^2+3x-1&x>3\end{cases}$

方程组

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$\begin{cases}2x+9y-5z=10\\ 4x+20y+z=24\\ x-\dfrac{1}{2}y+3z=8\end{cases}$

多行等式

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$\begin{aligned}f(x) & = (x + 1)^2 \\ & = x^2 + 2x + 1\end{aligned}$

$\begin{aligned}a_1 & = 1 \\ a_2 & = 2 \\ & \dots \\ a_n & = n\end{aligned}$

ps:原语法为align,现在是aligned。感觉align没啥不好的

数组/表格

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$\begin{array}{|c|c||c|}x&y&z\\8&2&4\\2&3&9\\10&\dfrac{3}{4}&\sqrt{3}\\a&b&c\end{array}$
ps:\begin{array}{}←这个大括号里是形如'|c|c||c|'这样的格式,'|'是两列的分割线,'c'是表示这里有一列,而内容中使用'&'来分开每一列的内容。这里可能讲的不是很清楚,所以最好还是自己尝试一下。

字体

希腊字母

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$\Alpha \Beta \Gamma\Delta \Epsilon \Zeta \Eta \Theta$

$\Alpha \Beta \Gamma\Delta \Epsilon \Zeta \Eta \Theta$

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$\Iota \Kappa \Lambda \Mu \Nu \Xi \Omicron \Pi$

$\Iota \Kappa \Lambda \Mu \Nu \Xi \Omicron \Pi$

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$\Rho \Sigma \Tau \Upsilon \Phi \Chi \Psi \Omega$

$\Rho\Sigma \Tau \Upsilon \Phi \Chi \Psi \Omega$

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$\alpha\beta\gamma\delta\epsilon\zeta\eta\theta$

$\alpha\beta\gamma\delta\epsilon\zeta\eta\theta$

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$\iota\kappa\lambda\mu\nu\xi\omicron\pi$

$\iota\kappa\lambda\mu\nu\xi\omicron\pi$

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$\rho\sigma\tau\upsilon\phi\chi\psi\omega$

$\rho\sigma\tau\upsilon\phi\chi\psi\omega$

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$\varepsilon\digamma\varkappa\varpi$

$\varepsilon\digamma\varkappa\varpi$

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$\varrho\varsigma\vartheta\varphi$

$\varrho\varsigma\vartheta\varphi$

下次继续