LaTeX数学表达式

希腊字母

• 小写

\alpha α \alpha \beta β \beta \gamma γ \gamma
\delta δ \delta \epsilon ϵ \epsilon \varepsilon ε \varepsilon
\zeta ζ \zeta \eta η \eta \theta θ \theta
\vartheta ϑ \vartheta \iota ι \iota \kappa κ \kappa
\lambda λ \lambda \mu μ \mu \sigma σ \sigma
\varsigma ς \varsigma \xi ξ \xi \nu ν \nu
\upsilon υ \upsilon \pi π \pi \varpi ϖ \varpi
\rho ρ \rho \varrho ϱ \varrho \tau τ \tau
\phi ϕ \phi \varphi φ \varphi \chi χ \chi
\chi2 χ 2 \chi2 \psi ψ \psi \omega ω \omega
\eth ð \eth \overset{\frown} {AB} A B ⌢ \overset{\frown} {AB} \widehat{e f g} e f g ^ \widehat{e f g}
• 大写

\Gamma Γ \Gamma \varGamma Γ \varGamma \Delta Δ \Delta
\varDelta Δ \varDelta \Lambda Λ \Lambda \Xi Ξ \Xi
\Pi Π \Pi \Sigma Σ \Sigma \Upsilon Υ \Upsilon
\Phi Φ \Phi \Psi Ψ \Psi \Omega Ω \Omega
\Epsilon E \Epsilon \Zeta Z \Zeta \Eta H \Eta
\Theta Θ \Theta

数学

• 数学符号

\sum ∑ \sum \prod ∏ \prod \bigcup ⋃ \bigcup
\int ∫ \int \iint ∬ \iint \bigcap ⋂ \bigcap
x_{min} x m i n x_{min} \infty ∞ \infty \mathbb{R} R \mathbb{R}
\mathfrak{R} R \mathfrak{R} \mathrm{R} R \mathrm{R} \mathit{R} R \mathit{R}
\mathscr{R} R \mathscr{R} \Re ℜ \Re \triangleq ≜ \triangleq
\underline{x} x ‾ \underline{x} \underbrace{a+b+\cdots+z}_{26} a + b + ⋯ + z ⏟ 26 \underbrace{a+b+\cdots+z}_{26} \vec{a} a ⃗ \vec{a}
\overrightarrow{AB} A B → \overrightarrow{AB} \hat{a} a ^ \hat{a} \grave{a} a ˋ \grave{a}
\check{a} a ˇ \check{a} \dot{a} a ˙ \dot{a} \tilde{a} a ~ \tilde{a}
\ddot{a} a ¨ \ddot{a} \widehat{A} A ^ \widehat{A} \acute{a} a ˊ \acute{a}
\breve{a} a ˘ \breve{a} \widetilde{A} A ~ \widetilde{A} \coprod ∐ \coprod
\bigsqcup ⨆ \bigsqcup \oint ∮ \oint \bigvee ⋁ \bigvee
\bigwedge ⋀ \bigwedge \bigoplus ⨁ \bigoplus \bigotimes ⨂ \bigotimes
\bigodot ⨀ \bigodot \biguplus ⨄ \biguplus \dots … \dots
\cdots ⋯ \cdots \hbar ℏ \hbar \forall ∀ \forall
\nabla ∇ \nabla \bot ⊥ \bot \diamondsuit ♢ \diamondsuit
\Diamond ◊ \Diamond \neg ¬ \neg \imath ı \imath
\Im ℑ \Im \exists ∃ \exists \prime ′ \prime
\triangle △ \triangle \top ⊤ \top \heartsuit ♡ \heartsuit
\flat ♭ \flat \vdots ⋮ \vdots \ddots ⋱ \ddots
\jmath ȷ \jmath \aleph ℵ \aleph \mho ℧ \mho
\emptyset ∅ \emptyset \Box □ \Box \angle ∠ \angle
\clubsuit ♣ \clubsuit \spadesuit ♠ \spadesuit \natural ♮ \natural
\ell ℓ \ell \wp ℘ \wp \circeq ≗ \circeq
\surd √ \surd \sharp ♯ \sharp f'(x) f ′ ( x ) f'(x)
f''(x) f ′ ′ ( x ) f''(x) \partial{x} ∂ x \partial{x} \mathrm{d}t d t \mathrm{d}t
\log_{a}b log ⁡ a b \log_{a}b \ln{x} ln ⁡ x \ln{x} \pmod{m} ( m o d m ) \pmod{m}
\overline{x} x ‾ \overline{x} \bar{x} x ˉ \bar{x} \therefore ∴ \therefore
\because ∵ \because \therefore ∴ \therefore \partial ∂ \partial
• 计算

\sum_{i=1}^N ∑ i = 1 N \sum_{i=1}^N \prod_{i=1}^{N} ∏ i = 1 N \prod_{i=1}^{N}
\bigcup_{i=1}^{N} ⋃ i = 1 N \bigcup_{i=1}^{N} \int_{a}^{b} ∫ a b \int_{a}^{b}
\iint_{a}^{b} ∬ a b \iint_{a}^{b} \int_{0}^{a}\int_{a}^{b} ∫ 0 a ∫ a b \int_{0}^{a}\int_{a}^{b}
\bigcap_{i=1}^{N} ⋂ i = 1 N \bigcap_{i=1}^{N} \sqrt[n]{x} x n \sqrt[n]{x}
(\frac{1 + x}{1 \times x})^{2 \times x} ( 1 + x 1 × x ) 2 × x (\frac{1 + x}{1 \times x})^{2 \times x} {\lim_{x \to -\infty}} lim ⁡ x → − ∞ {\lim_{x \to -\infty}}
\begin{matrix} 5050 \\ \overbrace{ 1+2+\cdots+100 }\end{matrix} 5050 1 + 2 + ⋯ + 100 ⏞ \begin{matrix} 5050 \\ \overbrace{ 1+2+\cdots+100 }\end{matrix} \begin{matrix} \underbrace{ a+b+\cdots+z } \\ 26\end{matrix} a + b + ⋯ + z ⏟ 26 \begin{matrix} \underbrace{ a+b+\cdots+z } \\ 26\end{matrix}
\dbinom{n}{r}=\binom{n}{n-r}=C^n_r=C^n_{n-r} ( n r ) = ( n n − r ) = C r n = C n − r n \dbinom{n}{r}=\binom{n}{n-r}=C^n_r=C^n_{n-r}
• 二元关系

\in ∈ \in \notin ∉ \notin \ni ∋ \ni
\owns ∋ \owns \notni ∌ \notni \le ≤ \le
\ll ≪ \ll \ge ≥ \ge \gg ≫ \gg
\prec ≺ \prec \preceq ⪯ \preceq \succ ≻ \succ
\succeq ⪰ \succeq \subset ⊂ \subset \subseteq ⊆ \subseteq
\supset ⊃ \supset \supseteq ⊇ \supseteq \sqsubset ⊏ \sqsubset
\sqsubseteq ⊑ \sqsubseteq \sqsupset ⊐ \sqsupset \sqsupseteq ⊒ \sqsupseteq
\perp ⊥ \perp \vdash ⊢ \vdash \dashv ⊣ \dashv
\mid ∣ \mid \parallel ∥ \parallel \smile ⌣ \smile
\frown ⌢ \frown \neq ≠ \neq \equiv ≡ \equiv
\doteq ≐ \doteq \sim ∼ \sim \simeq ≃ \simeq
\approx ≈ \approx \cong ≅ \cong \Join ⋈ \Join
\bowtie ⋈ \bowtie \propto ∝ \propto \models ⊨ \models
\asymp ≍ \asymp \lnot ¬ \lnot \neg q ¬ q \neg q
\mathbb{R}^n \setminus E R n ∖ E \mathbb{R}^n \setminus E \mathbb{R}^n \backslash E R n \ E \mathbb{R}^n \backslash E A \cap B A ∩ B A \cap B
A \cup B A ∪ B A \cup B A \setminus B A ∖ B A \setminus B A \setminus B A ∖ B A \setminus B
A \backslash B A \ B A \backslash B A \mid B A ∣ B A \mid B
• 二元计算

\times × \times \pm ± \pm \mp ∓ \mp
\cdot ⋅ \cdot \div ÷ \div \setminus ∖ \setminus
\cup ∪ \cup \cap ∩ \cap \sqcup ⊔ \sqcup
\sqcap ⊓ \sqcap \vee ∨ \vee \lor ∨ \lor
\wedge ∧ \wedge \land ∧ \land \\oplus ⊕ \oplus
\ominus ⊖ \ominus \odot ⊙ \odot \oslash ⊘ \oslash
\otimes ⊗ \otimes \bigcirc ◯ \bigcirc \bigtriangleup △ \bigtriangleup
\bigtriangledown ▽ \bigtriangledown \lhd ⊲ \lhd \rhd ⊳ \rhd
\unlhd ⊴ \unlhd \unrhd ⊵ \unrhd \triangleleft ◃ \triangleleft
\triangleright ▹ \triangleright \star ⋆ \star \ast ∗ \ast
\circ ∘ \circ \bullet ∙ \bullet \diamond ⋄ \diamond
\uplus ⊎ \uplus \amalg ⨿ \amalg \dagger † \dagger
\ddagger ‡ \ddagger \wr ≀ \wr
• 定界符

\{x_n\} { x n } \{x_n\} \langle x_n \rangle ⟨ x n ⟩ \langle x_n \rangle
\lfloor x_{n} \rfloor ⌊ x n ⌋ \lfloor x_{n} \rfloor \lceil x_{n} \rceil ⌈ x n ⌉ \lceil x_{n} \rceil
\backslash \ \backslash \| ∥ \|
\lgroup \rgroup ⟮ ⟯ \lgroup \rgroup \lmoustache \rmoustache ⎰ ⎱ \lmoustache \rmoustache
\brace{x_n} { x n } \brace{x_n}
• 箭头

\leftarrow ← \leftarrow \gets ← \gets \rightarrow → \rightarrow
\to → \to \leftrightarrow ↔ \leftrightarrow \Leftarrow ⇐ \Leftarrow
\Leftrightarrow ⇔ \Leftrightarrow \mapsto ↦ \mapsto \hookleftarrow ↩ \hookleftarrow
\leftharpoonup ↼ \leftharpoonup \leftharpoondown ↽ \leftharpoondown \rightleftharpoons ⇌ \rightleftharpoons
\longleftarrow ⟵ \longleftarrow \longleftrightarrow ⟷ \longleftrightarrow \Longleftrightarrow ⟺ \Longleftrightarrow
\longmapsto ⟼ \longmapsto \iff    ⟺    \iff \uparrow ↑ \uparrow
\updownarrow ↕ \updownarrow \Updownarrow ⇕ \Updownarrow \nearrow ↗ \nearrow
\searrow ↘ \searrow \nwarrow ↖ \nwarrow \swarrow ↙ \swarrow
\leadsto ⇝ \leadsto \nleftarrow ↚ \nleftarrow \nLeftarrow ⇍ \nLeftarrow
\nleftrightarrow ↮ \nleftrightarrow \nLeftrightarrow ⇎ \nLeftrightarrow \dashleftarrow ⇠ \dashleftarrow
\leftleftarrows ⇇ \leftleftarrows \leftrightarrows ⇆ \leftrightarrows \Lleftarrow ⇚ \Lleftarrow
\twoheadleftarrow ↞ \twoheadleftarrow \leftarrowtail ↢ \leftarrowtail \looparrowleft ↫ \looparrowleft
\curvearrowleft ↶ \curvearrowleft \circlearrowleft ↺ \circlearrowleft \Lsh ↰ \Lsh
\upuparrows ⇈ \upuparrows \upharpoonleft ↿ \upharpoonleft \upharpoonright ↾ \upharpoonright
\leftrightsquigarrow ↭ \leftrightsquigarrow \multimap ⊸ \multimap

其它符号

• 符号

\dag † \dag \ddag ‡ \ddag \copyright © \copyright
\pounds £ \pounds a\!b a  ⁣ b a\!b ab a b ab
a\,b a   b a\,b a\;b a    b a\;b a\ b a   b a\ b
a \quad b a b a \quad b a \qquad b a b a \qquad b AB<br>BB AB
BB
$\parallel Ax -y \parallel_2^2 ∥ A x − y ∥ 2 2 \parallel Ax -y \parallel_2^2 $\|a - b\|$ ∥ a − b ∥ \|a - b\| $\mid a - b \mid\$ ∣ a − b ∣ \mid a - b \mid

函数标识

• 命令一
$$ f(x) = \left\{  \begin{array}{rcl} x = & \cos(t) \\ y = & \sin(t) \\ z = & \frac{x}{y} \end{array} \right. $$

• 显示一
f ( x ) = { x = cos ⁡ ( t ) y = sin ⁡ ( t ) z = x y f(x) = \left\{ \begin{array}{rcl} x = & \cos(t) \\ y = & \sin(t) \\ z = & \frac{x}{y} \end{array} \right.

• 命令二
$$ f(x) = \begin{cases} 0 & x=0 \\ 1 & x \neq 0 \end{cases} $$

• 显示二
f ( x ) = { 0 x = 0 1 x ≠ 0 f(x) = \begin{cases} 0 & x=0 \\ 1 & x \neq 0 \end{cases}

矩阵

• 命令一
$$ A = \left[ \begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{matrix} \right] \tag{1} $$

• 显示一
A = [ 1 2 3 4 5 6 7 8 9 ] (1) A = \left[ \begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{matrix} \right] \tag{1}

• 命令二
$$ A = \left\{  \begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{matrix} \right\} \tag{2} $$

• 显示二
A = { 1 2 3 4 5 6 7 8 9 } (2) A = \left\{ \begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{matrix} \right\} \tag{2}

• 命令三
$$ A = \begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix} \tag{1} $$

• 显示三
A = [ 1 2 3 4 5 6 7 8 9 ] (1) A = \begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix} \tag{1}

• 矩阵的特殊表达方式

• 命令
$$ \left[ \begin{array}{cc|c} 1 & 2 & 3 \\ 4 & 5 & 6 \end{array} \right] \tag{3} $$
• 显示
[ 1 2 3 4 5 6 ] (3) \left[ \begin{array}{cc|c} 1 & 2 & 3 \\ 4 & 5 & 6 \end{array} \right] \tag{3}

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[***.249.68.22]2022年09月27日 12时50分49秒

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