LaTeX数学表达式
发布日期:2022-02-14 23:02:49 浏览次数:16 分类:技术文章

本文共 9446 字,大约阅读时间需要 31 分钟。

希腊字母

  • 小写
命令 显示 命令 显示 命令 显示
\alpha α \alpha α \beta β \beta β \gamma γ \gamma γ
\delta δ \delta δ \epsilon ϵ \epsilon ϵ \varepsilon ε \varepsilon ε
\zeta ζ \zeta ζ \eta η \eta η \theta θ \theta θ
\vartheta ϑ \vartheta ϑ \iota ι \iota ι \kappa κ \kappa κ
\lambda λ \lambda λ \mu μ \mu μ \sigma σ \sigma σ
\varsigma ς \varsigma ς \xi ξ \xi ξ \nu ν \nu ν
\upsilon υ \upsilon υ \pi π \pi π \varpi ϖ \varpi ϖ
\rho ρ \rho ρ \varrho ϱ \varrho ϱ \tau τ \tau τ
\phi ϕ \phi ϕ \varphi φ \varphi φ \chi χ \chi χ
\chi2 χ 2 \chi2 χ2 \psi ψ \psi ψ \omega ω \omega ω
\eth ð \eth ð \overset{\frown} {AB} A B ⌢ \overset{\frown} {AB} AB \widehat{e f g} e f g ^ \widehat{e f g} efg
  • 大写
命令 显示 命令 显示 命令 显示
\Gamma Γ \Gamma Γ \varGamma Γ \varGamma Γ \Delta Δ \Delta Δ
\varDelta Δ \varDelta Δ \Lambda Λ \Lambda Λ \Xi Ξ \Xi Ξ
\Pi Π \Pi Π \Sigma Σ \Sigma Σ \Upsilon Υ \Upsilon Υ
\Phi Φ \Phi Φ \Psi Ψ \Psi Ψ \Omega Ω \Omega Ω
\Epsilon E \Epsilon E \Zeta Z \Zeta Z \Eta H \Eta H
\Theta Θ \Theta Θ

数学

  • 数学符号
命令 显示 命令 显示 命令 显示
\sum ∑ \sum \prod ∏ \prod \bigcup ⋃ \bigcup
\int ∫ \int \iint ∬ \iint \bigcap ⋂ \bigcap
x_{min} x m i n x_{min} xmin \infty ∞ \infty \mathbb{R} R \mathbb{R} R
\mathfrak{R} R \mathfrak{R} R \mathrm{R} R \mathrm{R} R \mathit{R} R \mathit{R} R
\mathscr{R} R \mathscr{R} R \Re ℜ \Re \triangleq ≜ \triangleq
\underline{x} x ‾ \underline{x} x \underbrace{a+b+\cdots+z}_{26} a + b + ⋯ + z ⏟ 26 \underbrace{a+b+\cdots+z}_{26} 26 a+b++z \vec{a} a ⃗ \vec{a} a
\overrightarrow{AB} A B → \overrightarrow{AB} AB \hat{a} a ^ \hat{a} a^ \grave{a} a ˋ \grave{a} aˋ
\check{a} a ˇ \check{a} aˇ \dot{a} a ˙ \dot{a} a˙ \tilde{a} a ~ \tilde{a} a~
\ddot{a} a ¨ \ddot{a} a¨ \widehat{A} A ^ \widehat{A} A \acute{a} a ˊ \acute{a} aˊ
\breve{a} a ˘ \breve{a} a˘ \widetilde{A} A ~ \widetilde{A} 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 ı
\Im ℑ \Im \exists ∃ \exists \prime ′ \prime
\triangle △ \triangle \top ⊤ \top \heartsuit ♡ \heartsuit
\flat ♭ \flat \vdots ⋮ \vdots \ddots ⋱ \ddots
\jmath ȷ \jmath ȷ \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 ) f''(x) f(x) \partial{x} ∂ x \partial{x} x \mathrm{d}t d t \mathrm{d}t dt
\log_{a}b log ⁡ a b \log_{a}b logab \ln{x} ln ⁡ x \ln{x} lnx \pmod{m} ( m o d m ) \pmod{m} (modm)
\overline{x} x ‾ \overline{x} x \bar{x} x ˉ \bar{x} xˉ \therefore ∴ \therefore
\because ∵ \because \therefore ∴ \therefore \partial ∂ \partial
  • 计算
命令 显示 命令 显示
\sum_{i=1}^N ∑ i = 1 N \sum_{i=1}^N i=1N \prod_{i=1}^{N} ∏ i = 1 N \prod_{i=1}^{N} i=1N
\bigcup_{i=1}^{N} ⋃ i = 1 N \bigcup_{i=1}^{N} i=1N \int_{a}^{b} ∫ a b \int_{a}^{b} ab
\iint_{a}^{b} ∬ a b \iint_{a}^{b} ab \int_{0}^{a}\int_{a}^{b} ∫ 0 a ∫ a b \int_{0}^{a}\int_{a}^{b} 0aab
\bigcap_{i=1}^{N} ⋂ i = 1 N \bigcap_{i=1}^{N} i=1N \sqrt[n]{x} x n \sqrt[n]{x} nx
(\frac{1 + x}{1 \times x})^{2 \times x} ( 1 + x 1 × x ) 2 × x (\frac{1 + x}{1 \times x})^{2 \times x} (1×x1+x)2×x {\lim_{x \to -\infty}} lim ⁡ x → − ∞ {\lim_{x \to -\infty}} limx
\begin{matrix} 5050 \\ \overbrace{ 1+2+\cdots+100 }\end{matrix} 5050 1 + 2 + ⋯ + 100 ⏞ \begin{matrix} 5050 \\ \overbrace{ 1+2+\cdots+100 }\end{matrix} 50501+2++100 \begin{matrix} \underbrace{ a+b+\cdots+z } \\ 26\end{matrix} a + b + ⋯ + z ⏟ 26 \begin{matrix} \underbrace{ a+b+\cdots+z } \\ 26\end{matrix} a+b++z26
\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} (rn)=(nrn)=Crn=Cnrn
  • 二元关系
命令 显示 命令 显示 命令 显示
\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 ¬q
\mathbb{R}^n \setminus E R n ∖ E \mathbb{R}^n \setminus E RnE \mathbb{R}^n \backslash E R n \ E \mathbb{R}^n \backslash E Rn\E A \cap B A ∩ B A \cap B AB
A \cup B A ∪ B A \cup B AB A \setminus B A ∖ B A \setminus B AB A \setminus B A ∖ B A \setminus B AB
A \backslash B A \ B A \backslash B A\B A \mid B A ∣ B A \mid B AB
  • 二元计算
命令 显示 命令 显示 命令 显示
\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
命令 显示 命令 显示
\{x_n\} { x n } \{x_n\} { xn} \langle x_n \rangle ⟨ x n ⟩ \langle x_n \rangle xn
\lfloor x_{n} \rfloor ⌊ x n ⌋ \lfloor x_{n} \rfloor xn \lceil x_{n} \rceil ⌈ x n ⌉ \lceil x_{n} \rceil xn
\backslash \ \backslash \ \| ∥ \|
\lgroup \rgroup ⟮ ⟯ \lgroup \rgroup \lmoustache \rmoustache ⎰ ⎱ \lmoustache \rmoustache
\brace{x_n} { x n } \brace{x_n} { xn}
  • 箭头
命令 显示 命令 显示 命令 显示
\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
命令 显示 命令 显示 命令 显示
\dag † \dag \ddag ‡ \ddag \copyright © \copyright c
\pounds £ \pounds £ a\!b a  ⁣ b a\!b ab ab a b ab ab
a\,b a   b a\,b ab a\;b a    b a\;b ab a\ b a   b a\ b a b
a \quad b a b a \quad b ab a \qquad b a b a \qquad b ab AB<br>BB AB
BB
$\parallel Ax -y \parallel_2^2 ∥ A x − y ∥ 2 2 \parallel Ax -y \parallel_2^2 Axy22 $\|a - b\|$ ∥ a − b ∥ \|a - b\| ab $\mid a - b \mid$ ∣ a − b ∣ \mid a - b \mid ab

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. f(x)=x=y=z=cos(t)sin(t)yx

  • 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} f(x)={ 01x=0x=0

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} A=147258369(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} A=147258369(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} A=147258369(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} [142536](3)

转载地址:https://blog.csdn.net/fish2009122/article/details/103632748 如侵犯您的版权,请留言回复原文章的地址,我们会给您删除此文章,给您带来不便请您谅解!

上一篇:如何构建指标体系--笔记
下一篇:tensorflow2之切片

发表评论

最新留言

初次前来,多多关照!
[***.249.68.22]2022年09月27日 12时50分49秒

关于作者

    喝酒易醉,品茶养心,人生如梦,品茶悟道,何以解忧?唯有杜康!
-- 愿君每日到此一游!

最新文章