希腊字母(小写) |
\alpha \quad \beta \quad \gamma \quad \delta
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\epsilon \quad \varepsilon
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\zeta \quad \eta \quad \theta \quad \vartheta
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\iota \quad \kappa \quad \varkappa \quad \lambda \quad \mu
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\nu \quad \xi \quad o \quad \pi \quad \varpi
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\rho \quad \varrho \quad \sigma \quad \varsigma
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\tau \quad \upsilon \quad \phi \quad \varphi
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\chi \quad \psi \quad \omega
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希腊字母(大写) |
\Gamma \quad \Delta \quad \Theta \quad \Lambda
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\Xi \quad \Pi \quad \Sigma \quad \Upsilon
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\Phi \quad \Psi \quad \Omega
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\varGamma \quad \varDelta \quad \varTheta
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\varLambda \quad \varXi \quad \varPi
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\varSigma \quad \varUpsilon \quad \varPhi
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希伯来字母与其他字符 |
\aleph \quad \beth \quad \gimel \quad \daleth
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\hbar \quad \hslash \quad \ell \quad \wp
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\partial \quad \nabla \quad \infty
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\emptyset \quad \varnothing
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大型运算符 |
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\oint_{C} \mathbf{F} \cdot d\mathbf{r}
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\liminf_{n \to \infty} a_n \quad \limsup_{n \to \infty} a_n
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\sup_{x \in S} f(x) \quad \inf_{x \in S} f(x)
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\max \quad \min \quad \arg\max \quad \arg\min
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可变大小运算符 |
\bigcup_{i \in I} A_i \quad \bigcap_{i \in I} A_i
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\bigvee_{i} p_i \quad \bigwedge_{i} p_i
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\bigoplus \quad \bigotimes \quad \bigodot
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\biguplus \quad \bigsqcup
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二元运算符 |
\pm \quad \mp \quad \times \quad \div
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\cdot \quad \ast \quad \star \quad \circ \quad \bullet
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\oplus \quad \ominus \quad \otimes \quad \oslash \quad \odot
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\boxplus \quad \boxminus \quad \boxtimes \quad \boxdot
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\cup \quad \cap \quad \uplus \quad \sqcup \quad \sqcap
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\vee \quad \wedge \quad \veebar \quad \barwedge
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\setminus \quad \smallsetminus \quad \wr
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\dagger \quad \ddagger \quad \amalg
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\ltimes \quad \rtimes \quad \bowtie
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a \bmod b \quad a \pmod{b}
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关系符 |
= \quad \neq \quad \equiv \quad \approx \quad \approxeq
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\sim \quad \simeq \quad \cong \quad \propto \quad \asymp
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< \quad > \quad \leq \quad \geq
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\leqslant \quad \geqslant \quad \leqq \quad \geqq
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\ll \quad \gg \quad \lll \quad \ggg
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\prec \quad \succ \quad \preceq \quad \succeq
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\precsim \quad \succsim \quad \precapprox \quad \succapprox
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\parallel \quad \perp \quad \mid \quad \nmid
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\vdash \quad \dashv \quad \models \quad \vDash \quad \Vdash
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\smile \quad \frown \quad \smallsmile \quad \smallfrown
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\doteq \quad \risingdotseq \quad \fallingdotseq
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\circeq \quad \triangleq \quad \eqcirc \quad \bumpeq
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否定关系符 |
\neq \quad \nless \quad \ngtr
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\nleq \quad \ngeq \quad \nleqq \quad \ngeqq
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\nleqslant \quad \ngeqslant
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\nsubseteq \quad \nsupseteq
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\subsetneq \quad \supsetneq
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\nprec \quad \nsucc \quad \npreceq \quad \nsucceq
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\nvdash \quad \nvDash \quad \nVdash \quad \nVDash
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箭头 |
\to \quad \rightarrow \quad \leftarrow \quad \leftrightarrow
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\Rightarrow \quad \Leftarrow \quad \Leftrightarrow
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\longrightarrow \quad \longleftarrow \quad \longleftrightarrow
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\Longrightarrow \quad \Longleftarrow \quad \Longleftrightarrow
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\mapsto \quad \longmapsto
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\hookleftarrow \quad \hookrightarrow
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\twoheadleftarrow \quad \twoheadrightarrow
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\leftarrowtail \quad \rightarrowtail
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\uparrow \quad \downarrow \quad \updownarrow
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\Uparrow \quad \Downarrow \quad \Updownarrow
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\nearrow \quad \searrow \quad \swarrow \quad \nwarrow
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\rightleftarrows \quad \leftrightarrows \quad \rightrightarrows \quad \leftleftarrows
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\upuparrows \quad \downdownarrows
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\rightleftharpoons \quad \leftrightharpoons
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\circlearrowleft \quad \circlearrowright
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\curvearrowleft \quad \curvearrowright
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\rightsquigarrow \quad \leftrightsquigarrow
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\nrightarrow \quad \nleftarrow \quad \nleftrightarrow
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\nRightarrow \quad \nLeftarrow \quad \nLeftrightarrow
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\implies \quad \impliedby \quad \iff
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可扩展箭头 |
\xleftarrow{abc} \quad \xrightarrow{abc}
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\xLeftarrow{abc} \quad \xRightarrow{abc}
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\xleftrightarrow{abc} \quad \xLeftrightarrow{abc}
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\xhookleftarrow{abc} \quad \xhookrightarrow{abc}
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\xtwoheadleftarrow{abc} \quad \xtwoheadrightarrow{abc}
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\xmapsto{abc} \quad \xlongequal{abc}
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\xrightarrow[under]{over}
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集合论 |
\in \quad \notin \quad \ni
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\subset \quad \subseteq \quad \subsetneq
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\supset \quad \supseteq \quad \supsetneq
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\sqsubset \quad \sqsupset \quad \sqsubseteq \quad \sqsupseteq
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\cup \quad \cap \quad \setminus \quad \complement
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\emptyset \quad \varnothing
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\mathbb{N} \quad \mathbb{Z} \quad \mathbb{Q}
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\mathbb{R} \quad \mathbb{C} \quad \mathbb{F}
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逻辑 |
\forall \quad \exists \quad \nexists
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\neg \quad \lnot \quad \land \quad \lor
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\implies \quad \impliedby \quad \iff
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\therefore \quad \because
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\top \quad \bot \quad \models \quad \vdash \quad \dashv
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\square \quad \blacksquare \quad \Box
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p \Rightarrow q \quad p \Leftrightarrow q
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微积分 |
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\frac{\partial f}{\partial x} \quad \frac{\partial^2 f}{\partial x^2}
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\nabla f \quad \nabla \cdot \mathbf{F} \quad \nabla \times \mathbf{F}
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\nabla^2 f \quad \Delta f
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\int_{a}^{b} f(x)\,dx \quad \int_{-\infty}^{\infty} e^{-x^2}\,dx = \sqrt{\pi}
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\iint_{D} f\,dA \quad \iiint_{V} f\,dV \quad \oint_{C} \mathbf{F} \cdot d\mathbf{r}
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\lim_{x \to 0} \frac{\sin x}{x} = 1
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\sum_{n=0}^{\infty} \frac{x^n}{n!} = e^x
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f'(x) \quad f''(x) \quad f^{(n)}(x)
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分数、根号与幂次 |
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\dfrac{a}{b} \quad \tfrac{a}{b}
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\cfrac{a}{1 + \cfrac{1}{b}}
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{a \over b} \quad {a \above 1pt b}
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\sqrt{x} \quad \sqrt[n]{x} \quad \sqrt[3]{x+y}
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x^{n} \quad x_{n} \quad x^{n}_{m} \quad x_{i,j}^{2k}
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\binom{n}{k} \quad \dbinom{n}{k} \quad \tbinom{n}{k}
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函数 |
\sin x \quad \cos x \quad \tan x \quad \cot x
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\arcsin x \quad \arccos x \quad \arctan x
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\sinh x \quad \cosh x \quad \tanh x \quad \coth x
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\log x \quad \ln x \quad \log_{10} x \quad \lg x
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\exp x \quad \deg \quad \det \quad \dim
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\gcd(a, b) \quad \hom(A, B) \quad \ker(f)
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\operatorname{sgn}(x) \quad \operatorname{Var}(X)
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重音符号 |
\hat{x} \quad \check{x} \quad \tilde{x} \quad \bar{x}
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\acute{x} \quad \grave{x} \quad \breve{x}
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\dot{x} \quad \ddot{x} \quad \dddot{x} \quad \ddddot{x}
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\widehat{xyz} \quad \widetilde{xyz}
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\overline{x+y} \quad \underline{x+y}
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\overrightarrow{AB} \quad \overleftarrow{AB} \quad \overleftrightarrow{AB}
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x' \quad x'' \quad x^{\prime} \quad x^{\prime\prime}
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注释与标注 |
\overbrace{a + b + c}^{\text{sum}}
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\underbrace{a + b + c}_{\text{sum}}
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\cancel{5} \quad \bcancel{5} \quad \xcancel{ABC}
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\cancelto{0}{x \to \infty}
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\stackrel{!}{=} \quad \overset{!}{=} \quad \underset{*}{=}
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定界符 |
\left( \frac{a}{b} \right)
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\left[ x \right] \quad \left\{ x \right\}
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\lfloor x \rfloor \quad \lceil x \rceil
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\left| x \right| \quad \left\| x \right\|
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\lvert x \rvert \quad \lVert x \rVert
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\bigl( \Bigl( \biggl( \Biggl(
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\bigr) \Bigr) \biggr) \Biggr)
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\left. \frac{dy}{dx} \right|_{x=0}
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矩阵与环境 |
\begin{matrix} a & b \\ c & d \end{matrix}
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\begin{pmatrix} a & b \\ c & d \end{pmatrix}
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\begin{bmatrix} a & b \\ c & d \end{bmatrix}
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\begin{Bmatrix} a & b \\ c & d \end{Bmatrix}
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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{smallmatrix} a & b \\ c & d \end{smallmatrix}
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\begin{array}{c|cc} a & b & c \\ \hline d & e & f \end{array}
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\begin{cases} x, & x \geq 0 \\ -x, & x < 0 \end{cases}
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\begin{aligned} y &= mx + b \\ &= 2x + 1 \end{aligned}
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\begin{gathered} a = b \\ c = d + e \end{gathered}
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\begin{alignedat}{2} 10 & x + & 3 & y = 2 \\ 3 & x + & 13 & y = 4 \end{alignedat}
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\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
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A = \begin{pmatrix} a_{11} & \cdots & a_{1n} \\ \vdots & \ddots & \vdots \\ a_{m1} & \cdots & a_{mn} \end{pmatrix}
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符号与标点 |
\dots \quad \cdots \quad \ldots \quad \vdots \quad \ddots
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\angle \quad \measuredangle \quad \sphericalangle
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\triangle \quad \triangledown \quad \blacktriangle \quad \blacktriangledown
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\triangleleft \quad \triangleright \quad \blacktriangleleft \quad \blacktriangleright
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\square \quad \blacksquare \quad \Box
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\diamond \quad \Diamond \quad \lozenge \quad \blacklozenge
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\star \quad \bigstar \quad \bullet \quad \circ
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\heartsuit \quad \diamondsuit \quad \clubsuit \quad \spadesuit
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\flat \quad \natural \quad \sharp
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\dag \quad \ddag \quad \dagger \quad \ddagger
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\S \quad \P \quad \copyright \quad \pounds
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\checkmark \quad \maltese
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\prime \quad \backprime \quad \surd
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\% \quad \# \quad \& \quad \_ \quad \$
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\colon \quad : \quad ; \quad ,
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样式与排版 |
\mathbf{abc} \quad \mathit{abc} \quad \mathrm{abc}
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\mathsf{abc} \quad \mathtt{abc} \quad \mathcal{ABC}
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\mathfrak{ABC} \quad \mathbb{ABC} \quad \boldsymbol{abc}
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\text{normal text in math: } x + y
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\displaystyle \sum_{i=1}^{n} \quad \textstyle \sum_{i=1}^{n}
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\lim\limits_{x \to 0} \quad \lim\nolimits_{x \to 0}
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\tiny AB \quad \small AB \quad \large AB \quad \Large AB
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a\,b \quad a\:b \quad a\;b \quad a\quad b \quad a\qquad b
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