LaTeX数学符号表
本文来源:http://www.mohu.org/info/lshort-cn.pdf 的50-56页。
下面的表格中将给出在数学模式中常用的所有符号。使用表 1.12–1.16所列出的符号,必须事先安装 AMS 数学字库并且在文档的导言区加载宏包: amssymb。如果你的系统中没有安装 AMS 宏包和数学字库,可去下述地址下载:CTAN:/tex-archive/macros/latex/required/amslatex 。
如果你的md编辑器显示错误,这里 可以正常显示。
在线公式编辑网站:https://latex.codecogs.com/eqneditor/editor.php
1.1 数学模式重音符
a ^ \hat{a} a^ a ˇ \check{a} aˇ a ~ \tilde{a} a~ a ˊ \acute{a} aˊ a ˋ \grave{a} aˋ a ˙ \dot{a} a˙ a ¨ \ddot{a} a¨ a ˘ \breve{a} a˘ a ˉ \bar{a} aˉ a ⃗ \vec{a} a A ^ \widehat{A} A
A ~ \widetilde{A} A
% CSDN代码块中没看见latex,所以没有高亮色彩啥的,将就着看吧。 \hat{a} \check{a} \tilde{a} \acute{a} \grave{a} \dot{a} \ddot{a} \breve{a} \bar{a} \vec{a} \widehat{A} \widetilde{A}
| 第1列 | 第2列 | 第3列 | 第4列 |
|---|---|---|---|
| a ^ \hat{a} a^ \hat{a} | a ˇ \check{a} aˇ \check{a} | a ~ \tilde{a} a~ \tilde{a} | a ˊ \acute{a} aˊ \acute{a} |
| a ˋ \grave{a} aˋ \grave{a} | a ˙ \dot{a} a˙ \dot{a} | a ¨ \ddot{a} a¨ \ddot{a} | a ˘ \breve{a} a˘ \breve{a} |
| a ˉ \bar{a} aˉ \bar{a} | a ⃗ \vec{a} a \vec{a} | A ^ \widehat{A} A \widehat{A} |
A ~ \widetilde{A} A \widetilde{A} |
1.2 小写希腊字母
α \alpha α θ \theta θ o o o υ \upsilon υ β \beta β ϑ \vartheta ϑ π \pi π ϕ \phi ϕ γ \gamma γ ι \iota ι ϖ \varpi ϖ φ \varphi φ δ \delta δ κ \kappa κ ρ \rho ρ χ \chi χ ϵ \epsilon ϵ λ \lambda λ ϱ \varrho ϱ ψ \psi ψ ε \varepsilon ε μ \mu μ σ \sigma σ ω \omega ω ζ \zeta ζ ν \nu ν ς \varsigma ς η \eta η ξ \xi ξ τ \tau τ
\alpha \theta o \upsilon \beta \vartheta \pi \phi \gamma \iota \varpi \varphi \delta \kappa \rho \chi \epsilon \lambda \varrho \psi \varepsilon \mu \sigma \omega \zeta \nu \varsigma \eta \xi \tau
| 第1列 | 第2列 | 第3列 | 第4列 |
|---|---|---|---|
| α \alpha α \alpha | θ \theta θ \theta | o o o o | υ \upsilon υ \upsilon |
| β \beta β \beta | ϑ \vartheta ϑ \vartheta | π \pi π \pi | ϕ \phi ϕ \phi |
| γ \gamma γ \gamma | ι \iota ι \iota | ϖ \varpi ϖ \varpi | φ \varphi φ \varphi |
| δ \delta δ \delta | κ \kappa κ \kappa | ρ \rho ρ \rho | χ \chi χ \chi |
| ϵ \epsilon ϵ \epsilon | λ \lambda λ \lambda | ϱ \varrho ϱ \varrho | ψ \psi ψ \psi |
| ε \varepsilon ε \varepsilon | μ \mu μ \mu | σ \sigma σ \sigma | ω \omega ω \omega |
| ζ \zeta ζ \zeta | ν \nu ν \nu | ς \varsigma ς \varsigma | |
| η \eta η \eta | ξ \xi ξ \xi | τ \tau τ \tau |
1.3 大写希腊字母
Γ \Gamma Γ Λ \Lambda Λ Σ \Sigma Σ Ψ \Psi Ψ Δ \Delta Δ Ξ \Xi Ξ Υ \Upsilon Υ Ω \Omega Ω Θ \Theta Θ Π \Pi Π Φ \Phi Φ
\Gamma \Lambda \Sigma \Psi \Delta \Xi \Upsilon \Omega \Theta \Pi \Phi
| 第1列 | 第2列 | 第3列 | 第4列 |
|---|---|---|---|
| Γ \Gamma Γ \Gamma | Λ \Lambda Λ \Lambda | Σ \Sigma Σ \Sigma | Ψ \Psi Ψ \Psi |
| Δ \Delta Δ \Delta | Ξ \Xi Ξ \Xi | Υ \Upsilon Υ \Upsilon | Ω \Omega Ω \Omega |
| Θ \Theta Θ \Theta | Π \Pi Π \Pi | Φ \Phi Φ \Phi |
1.4 二元关系符
你可以在下述命令的前面加上 \not 来得到其否定形式。
< < < > > > = = = ≤ \leq ≤ ≥ \geq ≥ ≡ \equiv ≡ ≪ \ll ≪ ≫ \gg ≫ ≐ \doteq ≐ ≺ \prec ≺ ≻ \succ ≻ ∼ \sim ∼ ⪯ \preceq ⪯ ⪰ \succeq ⪰ ≃ \simeq ≃ ⊂ \subset ⊂ ⊃ \supset ⊃ ≈ \approx ≈ ⊆ \subseteq ⊆ ⊇ \supseteq ⊇ ≅ \cong ≅ ⊏ \sqsubset ⊏ ⊐ \sqsupset ⊐ ⋈ \Join ⋈ ⊑ \sqsubseteq ⊑ ⊒ \sqsupseteq ⊒ ⋈ \bowtie ⋈ ∈ \in ∈ ∋ \ni ∋ ∝ \propto ∝ ⊢ \vdash ⊢ ⊣ \dashv ⊣ ⊨ \models ⊨ ∣ \mid ∣ ∥ \parallel ∥ ⊥ \perp ⊥ ⌣ \smile ⌣ ⌢ \frown ⌢ ≍ \asymp ≍ : : : ∉ \notin ∈/ ≠ \neq =
< > = \le \ge \equiv \ll \gg \doteq \prec \succ \sim \preceq \succeq \simeq \subset \supset \approx \subseteq \supseteq \cong \sqsubset \sqsupset \Join \sqsubseteq \sqsupseteq \bowtie \in \owns \propto \vdash \dashv \models \mid \parallel \perp \smile \frown \asymp : \notin \ne
| 第1列 | 第2列 | 第3列 |
|---|---|---|
| < < < < | > > > > | = = = = |
| ≤ \le ≤ \leq or \le | ≥ \ge ≥ \geq or \ge | ≡ \equiv ≡ \equiv |
| ≪ \ll ≪ \ll | ≫ \gg ≫ \gg | ≐ \doteq ≐ \doteq |
| ≺ \prec ≺ \prec | ≻ \succ ≻ \succ | ∼ \sim ∼ \sim |
| ⪯ \preceq ⪯ \preceq | ⪰ \succeq ⪰ \succeq | ≃ \simeq ≃ \simeq |
| ⊂ \subset ⊂ \subset | ⊃ \supset ⊃ \supset | ≈ \approx ≈ \approx |
| ⊆ \subseteq ⊆ \subseteq | ⊇ \supseteq ⊇ \supseteq | ≅ \cong ≅ \cong |
| ⊏ \sqsubset ⊏ \sqsubset | ⊐ \sqsupset ⊐ \sqsupset | ⋈ \Join ⋈ \Join |
| ⊑ \sqsubseteq ⊑ \sqsubseteq | ⊒ \sqsupseteq ⊒ \sqsupseteq | ⋈ \bowtie ⋈ \bowtie |
| ∈ \in ∈ \in | ∋ \owns ∋ \ni or \owns | ∝ \propto ∝ \propto |
| ⊢ \vdash ⊢ \vdash | ⊣ \dashv ⊣ \dashv | ⊨ \models ⊨ \models |
| ∣ \mid ∣ \mid | ∥ \parallel ∥ \parallel | ⊥ \perp ⊥ \perp |
| ⌣ \smile ⌣ \smile | ⌢ \frown ⌢ \frown | ≍ \asymp ≍ \asymp |
| : : : : | ∉ \notin ∈/ \notin | ≠ \neq = \neq or \ne |
1.5 二元运算符
+ + + − – − ± \pm ± ∓ \mp ∓ ◃ \triangleleft ◃ ⋅ \cdot ⋅ ÷ \div ÷ ▹ \triangleright ▹ × \times × ∖ \setminus ∖ ⋆ \star ⋆ ∪ \cup ∪ ∩ \cap ∩ ∗ \ast ∗ ⊔ \sqcup ⊔ ⊓ \sqcap ⊓ ∘ \circ ∘ ∨ \vee ∨ ∧ \wedge ∧ ∙ \bullet ∙ ⊕ \oplus ⊕ ⊖ \ominus ⊖ ⋄ \diamond ⋄ ⊙ \odot ⊙ ⊘ \oslash ⊘ ⊎ \uplus ⊎ ⊗ \otimes ⊗ ◯ \bigcirc ◯ ⨿ \amalg ⨿ △ \bigtriangleup △ ▽ \bigtriangledown ▽ † \dagger † ⊲ \lhd ⊲ ⊳ \rhd ⊳ ‡ \ddagger ‡ ⊴ \unlhd ⊴ ⊵ \unrhd ⊵ ≀ \wr ≀
\+ \- \pm \mp \triangleleft \cdot \div \triangleright \times \setminus \star \cup \cap \ast \sqcup \sqcap \circ \lor \wedge \bullet \oplus \ominus \diamond \odot \oslash \uplus \otimes \bigcirc \amalg \bigtriangleup \bigtriangledown \dagger \lhd \rhd \ddagger \unlhd \unrhd \wr
| 第1列 | 第2列 | 第3列 |
|---|---|---|
| + + + + | − – − – | |
| ± \pm ± \pm | ∓ \mp ∓ \mp | ◃ \triangleleft ◃ \triangleleft |
| ⋅ \cdot ⋅ \cdot | ÷ \div ÷ \div | ▹ \triangleright ▹ \triangleright |
| × \times × \times | ∖ \setminus ∖ \setminus | ⋆ \star ⋆ \star |
| ∪ \cup ∪ \cup | ∩ \cap ∩ \cap | ∗ \ast ∗ \ast |
| ⊔ \sqcup ⊔ \sqcup | ⊓ \sqcap ⊓ \sqcap | ∘ \circ ∘ \circ |
| ∨ \vee ∨ \vee or \lor | ∧ \wedge ∧ \wedge or \land | ∙ \bullet ∙ \bullet |
| ⊕ \oplus ⊕ \oplus | ⊖ \ominus ⊖ \ominus | ⋄ \diamond ⋄ \diamond |
| ⊙ \odot ⊙ \odot | ⊘ \oslash ⊘ \oslash | ⊎ \uplus ⊎ \uplus |
| ⊗ \otimes ⊗ \otimes | ◯ \bigcirc ◯ \bigcirc | ⨿ \amalg ⨿ \amalg |
| △ \bigtriangleup △ \bigtriangleup | ▽ \bigtriangledown ▽ \bigtriangledown | † \dagger † \dagger |
| ⊲ \lhd ⊲ \lhd | ⊳ \rhd ⊳ \rhd | ‡ \ddagger ‡ \ddagger |
| ⊴ \unlhd ⊴ \unlhd | ⊵ \unrhd ⊵ \unrhd | ≀ \wr ≀ \wr |
1.6 大尺寸运算符
∑ \sum ∑ ⋃ \bigcup ⋃ ⋁ \bigvee ⋁ ⨁ \bigoplus ⨁ ∏ \prod ∏ ⋂ \bigcap ⋂ ⋀ \bigwedge ⋀ ⨂ \bigotimes ⨂ ∐ \coprod ∐ ⨆ \bigsqcup ⨆ ⨀ \bigodot ⨀ ∫ \int ∫ ∮ \oint ∮ ⨄ \biguplus ⨄
\sum \bigcup \bigvee \bigoplus \prod \bigcap \bigwedge \bigotimes \coprod \bigsqcup \bigodot \int \oint \biguplus
| 第1列 | 第2列 | 第3列 | 第4列 |
|---|---|---|---|
| ∑ \sum ∑ \sum | ⋃ \bigcup ⋃ \bigcup | ⋁ \bigvee ⋁ \bigvee | ⨁ \bigoplus ⨁ \bigoplus |
| ∏ \prod ∏ \prod | ⋂ \bigcap ⋂ \bigcap | ⋀ \bigwedge ⋀ \bigwedge | ⨂ \bigotimes ⨂ \bigotimes |
| ∐ \coprod ∐ \coprod | ⨆ \bigsqcup ⨆ \bigsqcup | ⨀ \bigodot ⨀ \bigodot | |
| ∫ \int ∫ \int | ∮ \oint ∮ \oint | ⨄ \biguplus ⨄ \biguplus |
1.7 箭头
← \gets ← ⟵ \longleftarrow ⟵ ↑ \uparrow ↑ → \to → ⟶ \longrightarrow ⟶ ↓ \downarrow ↓ ↔ \leftrightarrow ↔ ⟷ \longleftrightarrow ⟷ ↕ \updownarrow ↕ ⇐ \Leftarrow ⇐ ⟸ \Longleftarrow ⟸ ⇑ \Uparrow ⇑ ⇒ \Rightarrow ⇒ ⟹ \Longrightarrow ⟹ ⇓ \Downarrow ⇓ ⇔ \Leftrightarrow ⇔ ⟺ \Longleftrightarrow ⟺ ⇕ \Updownarrow ⇕ ↦ \mapsto ↦ ⟼ \longmapsto ⟼ ↗ \nearrow ↗ ↩ \hookleftarrow ↩ ↪ \hookrightarrow ↪ ↘ \searrow ↘ ↼ \leftharpoonup ↼ ⇀ \rightharpoonup ⇀ ↙ \swarrow ↙ ↽ \leftharpoondown ↽ ⇁ \rightharpoondown ⇁ ↖ \nwarrow ↖ ⇌ \rightleftharpoons ⇌ ⟺ \iff ⟺ ⇝ \leadsto ⇝
\leftarrow \longleftarrow \uparrow \rightarrow \longrightarrow \downarrow \leftrightarrow \longleftrightarrow \updownarrow \Leftarrow \Longleftarrow \Uparrow \Rightarrow \Longrightarrow \Downarrow \Leftrightarrow \Longleftrightarrow \Updownarrow \mapsto \longmapsto \nearrow \hookleftarrow \hookrightarrow \searrow \leftharpoonup \rightharpoonup \swarrow \leftharpoondown \rightharpoondown \nwarrow \rightleftharpoons \iff \leadsto
| 第1列 | 第2列 | 第3列 |
|---|---|---|
| ← \leftarrow ← \leftarrow or \gets | ⟵ \longleftarrow ⟵ \longleftarrow | ↑ \uparrow ↑ \uparrow |
| → \rightarrow → \rightarrow or \to | ⟶ \longrightarrow ⟶ \longrightarrow | ↓ \downarrow ↓ \downarrow |
| ↔ \leftrightarrow ↔ \leftrightarrow | ⟷ \longleftrightarrow ⟷ \longleftrightarrow | ↕ \updownarrow ↕ \updownarrow |
| ⇐ \Leftarrow ⇐ \Leftarrow | ⟸ \Longleftarrow ⟸ \Longleftarrow | ⇑ \Uparrow ⇑ \Uparrow |
| ⇒ \Rightarrow ⇒ \Rightarrow | ⟹ \Longrightarrow ⟹ \Longrightarrow | ⇓ \Downarrow ⇓ \Downarrow |
| ⇔ \Leftrightarrow ⇔ \Leftrightarrow | ⟺ \Longleftrightarrow ⟺ \Longleftrightarrow | ⇕ \Updownarrow ⇕ \Updownarrow |
| ↦ \mapsto ↦ \mapsto | ⟼ \longmapsto ⟼ \longmapsto | ↗ \nearrow ↗ \nearrow |
| ↩ \hookleftarrow ↩ \hookleftarrow | ↪ \hookrightarrow ↪ \hookrightarrow | ↘ \searrow ↘ \searrow |
| ↼ \leftharpoonup ↼ \leftharpoonup | ⇀ \rightharpoonup ⇀ \rightharpoonup | ↙ \swarrow ↙ \swarrow |
| ↽ \leftharpoondown ↽ \leftharpoondown | ⇁ \rightharpoondown ⇁ \rightharpoondown | ↖ \nwarrow ↖ \nwarrow |
| ⇌ \rightleftharpoons ⇌ \rightleftharpoons | ⟺ \iff ⟺ \iff | ⇝ \leadsto ⇝ \leadsto |
1.8 定界符
( ( ( ) ) ) ↑ \uparrow ↑ ⇑ \Uparrow ⇑ [ \lbrack [ ] \rbrack ] ↓ \downarrow ↓ ⇓ \Downarrow ⇓ { \lbrace {
} \rbrace } ↕ \updownarrow ↕ ⇕ \Updownarrow ⇕ ⟨ \langle ⟨ ⟩ \rangle ⟩ ∣ \vert ∣ ∥ \Vert ∥ ⌊ \lfloor ⌊ ⌋ \rfloor ⌋ ⌈ \lceil ⌈ ⌉ \rceil ⌉ / / / \ \backslash \ ~
( ) \uparrow \Uparrow [ ] \downarrow \Downarrow \{ \} \updownarrow \Updownarrow \langle \rangle \vert \Vert \lfloor \rfloor \lceil \rceil / \backslash ~
最后一个符号(dual. empty)不知道是啥。
| ( ( ( ( | ) ) ) ) | ↑ \uparrow ↑ \uparrow | ⇑ \Uparrow ⇑ \Uparrow |
|---|---|---|---|
| [ [ [ [ or \lbrack | ] ] ] ] or \rbrack | ↓ \downarrow ↓ \downarrow | ⇓ \Downarrow ⇓ \Downarrow |
| { \{ { { or \lbrace |
} \} } } or \rbrace | ↕ \updownarrow ↕ \updownarrow | ⇕ \Updownarrow ⇕ \Updownarrow |
| ⟨ \langle ⟨ \langle | ⟩ \rangle ⟩ \rangle | $ | $ | or \vert |
| ⌊ \lfloor ⌊ \lfloor | ⌋ \rfloor ⌋ \rfloor | ⌈ \lceil ⌈ \lceil | ⌉ \rceil ⌉ \rceil |
| / / / / | \ \backslash \ \backslash | ~ ~(不知道是啥) |
1.9 大尺寸定界符
CSDN显示错误,出现报错信息,不过 jupter notebook 和 Typora 能正确显示。
⟮ \lgroup ⟮ ⟯ \rgroup ⟯ ⎰ \lmoustache ⎰ ⎱ \rmoustache ⎱ KaTeX parse error: Undefined control sequence: \Arrowvert at position 1: \̲A̲r̲r̲o̲w̲v̲e̲r̲t̲ KaTeX parse error: Undefined control sequence: \Arrowvert at position 1: \̲A̲r̲r̲o̲w̲v̲e̲r̲t̲ KaTeX parse error: Undefined control sequence: \bracevert at position 1: \̲b̲r̲a̲c̲e̲v̲e̲r̲t̲
\lgroup \rgroup \lmoustache \rmoustache \Arrowvert \Arrowvert \bracevert
| 第1列 | 第2列 | 第3列 | 第4列 |
|---|---|---|---|
| ⟮ \lgroup ⟮ \lgroup | ⟯ \rgroup ⟯ \rgroup | ⎰ \lmoustache ⎰ \lmoustache | ⎱ \rmoustache ⎱ \rmoustache |
| KaTeX parse error: Undefined control sequence: \Arrowvert at position 1: \̲A̲r̲r̲o̲w̲v̲e̲r̲t̲ \Arrowvert | KaTeX parse error: Undefined control sequence: \Arrowvert at position 1: \̲A̲r̲r̲o̲w̲v̲e̲r̲t̲ \Arrowvert | KaTeX parse error: Undefined control sequence: \bracevert at position 1: \̲b̲r̲a̲c̲e̲v̲e̲r̲t̲ \bracevert |
1.10 其它符号
… \dots … ⋯ \cdots ⋯ ⋮ \vdots ⋮ ⋱ \ddots ⋱ ℏ \hbar ℏ ı \imath ı ȷ \jmath ȷ ℓ \ell ℓ ℜ \Re ℜ ℑ \Im ℑ ℵ \aleph ℵ ℘ \wp ℘ ∀ \forall ∀ ∃ \exists ∃ ℧ \mho ℧ ∂ \partial ∂ ′ ‘ ′ ′ \prime ′ ∅ \emptyset ∅ ∞ \infty ∞ ∇ \nabla ∇ △ \triangle △ □ \Box □ ◊ \Diamond ◊ ⊥ \bot ⊥ ⊤ \top ⊤ ∠ \angle ∠ √ \surd √ ♢ \diamondsuit ♢ ♡ \heartsuit ♡ ♣ \clubsuit ♣ ♠ \spadesuit ♠ ¬ \neg ¬ ♭ \flat ♭ ♮ \natural ♮ ♯ \sharp ♯
\dots \cdots \vdots \ddots \hbar \imath \jmath \ell \Re \Im \aleph \wp \forall \exists \mho \partial ' \prime \emptyset \infty \nabla \triangle \Box \Diamond \bot \top \angle \surd \diamondsuit \heartsuit \clubsuit \spadesuit \neg \flat \natural \sharp
| 第1列 | 第2列 | 第3列 | 第4列 |
|---|---|---|---|
| … \dots … \dots | ⋯ \cdots ⋯ \cdots | ⋮ \vdots ⋮ \vdots | ⋱ \ddots ⋱ \ddots |
| ℏ \hbar ℏ \hbar | ı \imath ı \imath | ȷ \jmath ȷ \jmath | ℓ \ell ℓ \ell |
| ℜ \Re ℜ \Re | ℑ \Im ℑ \Im | ℵ \aleph ℵ \aleph | ℘ \wp ℘ \wp |
| ∀ \forall ∀ \forall | ∃ \exists ∃ \exists | ℧ \mho ℧ \mho | ∂ \partial ∂ \partial |
| ′ ‘ ′ ’ | ′ \prime ′ \prime | ∅ \emptyset ∅ \emptyset | ∞ \infty ∞ \infty |
| ∇ \nabla ∇ \nabla | △ \triangle △ \triangle | □ \Box □ \Box | ◊ \Diamond ◊ \Diamond |
| ⊥ \bot ⊥ \bot | ⊤ \top ⊤ \top | ∠ \angle ∠ \angle | √ \surd √ \surd |
| ♢ \diamondsuit ♢ \diamondsuit | ♡ \heartsuit ♡ \heartsuit | ♣ \clubsuit ♣ \clubsuit | ♠ \spadesuit ♠ \spadesuit |
| ¬ \neg ¬ \neg or \lnot | ♭ \flat ♭ \flat | ♮ \natural ♮ \natural | ♯ \sharp ♯ \sharp |
1.11 非数学符号
这些符号也可以在文本模式中使用。(如果你的md编辑器显示错误,这里 可以正常显示)
† \dag † KaTeX parse error: Undefined control sequence: \S at position 1: \̲S̲ © \copyright c◯ ‡ \ddag ‡ KaTeX parse error: Undefined control sequence: \P at position 1: \̲P̲ £ \pounds £
\dag \S \copyright \ddag \P \pounds
| 第1列 | 第2列 | 第3列 |
|---|---|---|
| † \dag † \dag | KaTeX parse error: Undefined control sequence: \S at position 1: \̲S̲ \S | © \copyright c◯ \copyright |
| ‡ \ddag ‡ \ddag | KaTeX parse error: Undefined control sequence: \P at position 1: \̲P̲ \P | £ \pounds £ \pounds |
1.12 AMS 定界符
┌ \ulcorner ┌ ┐ \urcorner ┐ └ \llcorner └ ┘ \lrcorner ┘ ∣ \lvert ∣ ∣ \rvert ∣ ∥ \lVert ∥ ∥ \rVert ∥
\ulcorner \urcorner \llcorner \lrcorner \lvert \rvert \lVert \rVert
| 第1列 | 第2列 | 第3列 | 第4列 |
|---|---|---|---|
| ┌ \ulcorner ┌ \ulcorner | ┐ \urcorner ┐ \urcorner | └ \llcorner └ \llcorner | ┘ \lrcorner ┘ \lrcorner |
| ∣ \lvert ∣ \lvert | ∣ \rvert ∣ \rvert | ∥ \lVert ∥ \lVert | ∥ \rVert ∥ \rVert |
1.13 AMS 希腊和希伯来字母
ϝ \digamma ϝ ϰ \varkappa ϰ ℶ \beth ℶ ℸ \daleth ℸ ℷ \gimel ℷ
\digamma \varkappa \beth \daleth \gimel
| 第1列 | 第2列 | 第3列 | 第4列 | 第5列 |
|---|---|---|---|---|
| ϝ \digamma ϝ \digamma | ϰ \varkappa ϰ \varkappa | ℶ \beth ℶ \beth | ℸ \daleth ℸ \daleth | ℷ \gimel ℷ \gimel |
1.14 AMS 二元关系符
⋖ \lessdot ⋖ ⋗ \gtrdot ⋗ ≑ \Doteq ≑ ⩽ \leqslant ⩽ ⩾ \geqslant ⩾ ≓ \risingdotseq ≓ ⪕ \eqslantless ⪕ ⪖ \eqslantgtr ⪖ ≒ \fallingdotseq ≒ ≦ \le ≦ ≧ \ge ≧ ≖ \eqcirc ≖ $\lll $ ⋙ \ggg ⋙ ≗ \circeq ≗ ≲ \lesssim ≲ ≳ \gtrsim ≳ ≜ \triangleq ≜ ⪅ \lessapprox ⪅ ⪆ \gtrapprox ⪆ ≏ \bumpeq ≏ ≶ \lessgtr ≶ ≷ \gtrless ≷ ≎ \Bumpeq ≎ ⋚ \lesseqgtr ⋚ ⋛ \gtreqless ⋛ ∼ \thicksim ∼ ⪋ \lessegtr ⪋ ⪌ \gtreless ⪌ ≈ \thickapprox ≈ ≼ \preccurlyeq ≼ ≽ \succcurlyeq ≽ ≊ \approxeq ≊ ⋞ \curlyeqprec ⋞ ⋟ \curlyeqsucc ⋟ ∽ \backsim ∽ ≾ \precsim ≾ ≿ \succsim ≿ ⋍ \backsimeq ⋍ ⪷ \precapprox ⪷ ⪸ \succapprox ⪸ ⊨ \vDash ⊨ ⫅ \subsete ⫅ ⫆ \supsete ⫆ ⊩ \Vdash ⊩ ⋐ \Subset ⋐ ⋑ \Supset ⋑ ⊪ \Vvdash ⊪ ⊏ \sqsubset ⊏ ⊐ \sqsupset ⊐ ∍ \backepsilon ∍ ∴ \therefore ∴ ∵ \because ∵ ∝ \varpropto ∝ ∣ \shortmid ∣ ∥ \shortparallel ∥ ≬ \between ≬ ⌣ \smallsmile ⌣ ⌢ \smallfrown ⌢ ⋔ \pitchfork ⋔ ⊲ \vartriangleleft ⊲ ⊳ \vartriangleright ⊳ ◀ \blacktriangleleft ◀ ⊴ \trianglelefteq ⊴ ⊵ \trianglerighteq ⊵ ▶ \blacktriangleright ▶
\lessdot \gtrdot \Doteq \leqslant \geqslant \risingdotseq \eqslantless \eqslantgtr \fallingdotseq \le \ge \eqcirc \llless \gggtr \circeq \lesssim \gtrsim \triangleq \lessapprox \gtrapprox \bumpeq \lessgtr \gtrless \Bumpeq \lesseqgtr \gtreqless \thicksim \lessegtr \gtreless \thickapprox \preccurlyeq \succcurlyeq \approxeq \curlyeqprec \curlyeqsucc \backsim \precsim \succsim \backsimeq \precapprox \succapprox \vDash \subsete \supsete \Vdash \Subset \Supset \Vvdash \sqsubset \sqsupset \backepsilon \therefore \because \varpropto \shortmid \shortparallel \between \smallsmile \smallfrown \pitchfork \vartriangleleft \vartriangleright \blacktriangleleft \trianglelefteq \trianglerighteq \blacktriangleright
| 第1列 | 第2列 | 第3列 |
|---|---|---|
| ⋖ \lessdot ⋖ \lessdot | ⋗ \gtrdot ⋗ \gtrdot | ≑ \Doteq ≑ \doteqdot or \Doteq |
| ⩽ \leqslant ⩽ \leqslant | ⩾ \geqslant ⩾ \geqslant | ≓ \risingdotseq ≓ \risingdotseq |
| ⪕ \eqslantless ⪕ \eqslantless | ⪖ \eqslantgtr ⪖ \eqslantgtr | ≒ \fallingdotseq ≒ \fallingdotseq |
| ≦ \le ≦ \le | ≧ \ge ≧ \ge | ≖ \eqcirc ≖ \eqcirc |
| ⋘ \llless ⋘ \lll or \llless | ⋙ \gggtr ⋙ \ggg or \gggtr | ≗ \circeq ≗ \circeq |
| ≲ \lesssim ≲ \lesssim | ≳ \gtrsim ≳ \gtrsim | ≜ \triangleq ≜ \triangleq |
| ⪅ \lessapprox ⪅ \lessapprox | ⪆ \gtrapprox ⪆ \gtrapprox | ≏ \bumpeq ≏ \bumpeq |
| ≶ \lessgtr ≶ \lessgtr | ≷ \gtrless ≷ \gtrless | ≎ \Bumpeq ≎ \Bumpeq |
| ⋚ \lesseqgtr ⋚ \lesseqgtr | ⋛ \gtreqless ⋛ \gtreqless | ∼ \thicksim ∼ \thicksim |
| ⪋ \lessegtr ⪋ \lessegtr | ⪌ \gtreless ⪌ \gtreless | ≈ \thickapprox ≈ \thickapprox |
| ≼ \preccurlyeq ≼ \preccurlyeq | ≽ \succcurlyeq ≽ \succcurlyeq | ≊ \approxeq ≊ \approxeq |
| ⋞ \curlyeqprec ⋞ \curlyeqprec | ⋟ \curlyeqsucc ⋟ \curlyeqsucc | ∽ \backsim ∽ \backsim |
| ≾ \precsim ≾ \precsim | ≿ \succsim ≿ \succsim | ⋍ \backsimeq ⋍ \backsimeq |
| ⪷ \precapprox ⪷ \precapprox | ⪸ \succapprox ⪸ \succapprox | ⊨ \vDash ⊨ \vDash |
| ⫅ \subsete ⫅ \subsete | ⫆ \supsete ⫆ \supsete | ⊩ \Vdash ⊩ \Vdash |
| ⋐ \Subset ⋐ \Subset | ⋑ \Supset ⋑ \Supset | ⊪ \Vvdash ⊪ \Vvdash |
| ⊏ \sqsubset ⊏ \sqsubset | ⊐ \sqsupset ⊐ \sqsupset | ∍ \backepsilon ∍ \backepsilon |
| ∴ \therefore ∴ \therefore | ∵ \because ∵ \because | ∝ \varpropto ∝ \varpropto |
| ∣ \shortmid ∣ \shortmid | ∥ \shortparallel ∥ \shortparallel | ≬ \between ≬ \between |
| ⌣ \smallsmile ⌣ \smallsmile | ⌢ \smallfrown ⌢ \smallfrown | ⋔ \pitchfork ⋔ \pitchfork |
| ⊲ \vartriangleleft ⊲ \vartriangleleft | ⊳ \vartriangleright ⊳ \vartriangleright | ◀ \blacktriangleleft ◀ \blacktriangleleft |
| ⊴ \trianglelefteq ⊴ \trianglelefteq | ⊵ \trianglerighteq ⊵ \trianglerighteq | ▶ \blacktriangleright ▶ \blacktriangleright |
1.15 AMS 箭头
⇠ \dashleftarrow ⇠ ⇢ \dashrightarrow ⇢ ⊸ \multimap ⊸ ⇇ \leftleftarrows ⇇ ⇉ \rightrightarrows ⇉ ⇈ \upuparrows ⇈ ⇆ \leftrightarrows ⇆ ⇄ \rightleftarrows ⇄ ⇊ \downdownarrows ⇊ ⇚ \Lleftarrow ⇚ ⇛ \Rrightarrow ⇛ ↿ \upharpoonleft ↿ ↞ \twoheadleftarrow ↞ ↠ \twoheadrightarrow ↠ ↾ \upharpoonright ↾ ↢ \leftarrowtail ↢ ↣ \rightarrowtail ↣ ⇃ \downharpoonleft ⇃ ⇋ \leftrightharpoons ⇋ ⇌ \rightleftharpoons ⇌ ⇂ \downharpoonright ⇂ ↰ \Lsh ↰ ↱ \Rsh ↱ ⇝ \rightsquigarrow ⇝ ↫ \looparrowleft ↫ ↬ \looparrowright ↬ ↭ \leftrightsquigarrow ↭ ↶ \curvearrowleft ↶ ↷ \curvearrowright ↷ ↺ \circlearrowleft ↺ ↻ \circlearrowright ↻
\dashleftarrow \dashrightarrow \multimap \leftleftarrows \rightrightarrows \upuparrows \leftrightarrows \rightleftarrows \downdownarrows \Lleftarrow \Rrightarrow \upharpoonleft \twoheadleftarrow \twoheadrightarrow \upharpoonright \leftarrowtail \rightarrowtail \downharpoonleft \leftrightharpoons \rightleftharpoons \downharpoonright \Lsh \Rsh \rightsquigarrow \looparrowleft \looparrowright \leftrightsquigarrow \curvearrowleft \curvearrowright \circlearrowleft \circlearrowright
| 第1列 | 第2列 | 第3列 |
|---|---|---|
| ⇠ \dashleftarrow ⇠ \dashleftarrow | ⇢ \dashrightarrow ⇢ \dashrightarrow | ⊸ \multimap ⊸ \multimap |
| ⇇ \leftleftarrows ⇇ \leftleftarrows | ⇉ \rightrightarrows ⇉ \rightrightarrows | ⇈ \upuparrows ⇈ \upuparrows |
| ⇆ \leftrightarrows ⇆ \leftrightarrows | ⇄ \rightleftarrows ⇄ \rightleftarrows | ⇊ \downdownarrows ⇊ \downdownarrows |
| ⇚ \Lleftarrow ⇚ \Lleftarrow | ⇛ \Rrightarrow ⇛ \Rrightarrow | ↿ \upharpoonleft ↿ \upharpoonleft |
| ↞ \twoheadleftarrow ↞ \twoheadleftarrow | ↠ \twoheadrightarrow ↠ \twoheadrightarrow | ↾ \upharpoonright ↾ \upharpoonright |
| ↢ \leftarrowtail ↢ \leftarrowtail | ↣ \rightarrowtail ↣ \rightarrowtail | ⇃ \downharpoonleft ⇃ \downharpoonleft |
| ⇋ \leftrightharpoons ⇋ \leftrightharpoons | ⇌ \rightleftharpoons ⇌ \rightleftharpoons | ⇂ \downharpoonright ⇂ \downharpoonright |
| ↰ \Lsh ↰ \Lsh | ↱ \Rsh ↱ \Rsh | ⇝ \rightsquigarrow ⇝ \rightsquigarrow |
| ↫ \looparrowleft ↫ \looparrowleft | ↬ \looparrowright ↬ \looparrowright | ↭ \leftrightsquigarrow ↭ \leftrightsquigarrow |
| ↶ \curvearrowleft ↶ \curvearrowleft | ↷ \curvearrowright ↷ \curvearrowright | |
| ↺ \circlearrowleft ↺ \circlearrowleft | ↻ \circlearrowright ↻ \circlearrowright |
1.16 AMS 二元否定关系符和箭头
≮ \nless ≮ ≯ \ngtr ≯ ⫋ \varsubsetne ⪇ \lneq ⪇ ⪈ \gneq ⪈ ⫌ \varsupsetne ≰ \nleq ≰ ≱ \ngeq ≱ ⊈ \nsubsete ≰ \nleqslant ≱ \ngeqslant ⊉ \nsupsete ≨ \lne ≨ ≩ \gne ≩ ∤ \nmid ∤ ≨ \lvertne ≩ \gvertne ∦ \nparallel ∦ ≰ \nle ≱ \nge ∤ \nshortmid ⋦ \lnsim ⋦ ⋧ \gnsim ⋧ ∦ \nshortparallel ⪉ \lnapprox ⪉ ⪊ \gnapprox ⪊ ≁ \nsim ≁ ⊀ \nprec ⊀ ⊁ \nsucc ⊁ ≆ \ncong ≆ ⋠ \npreceq ⋠ ⋡ \nsucceq ⋡ ⊬ \nvdash ⊬ ⪵ \precne ⪵ ⪶ \succne ⪶ ⊭ \nvDash ⊭ ⋨ \precnsim ⋨ ⋩ \succnsim ⋩ ⊮ \nVdash ⊮ ⪹ \precnapprox ⪹ ⪺ \succnapprox ⪺ ⊯ \nVDash ⊯ ⊊ \subsetneq ⊊ ⊋ \supsetneq ⊋ ⋪ \ntriangleleft ⋪ ⊊ \varsubsetneq ⊋ \varsupsetneq ⋫ \ntriangleright ⋫ ⊈ \nsubseteq ⊈ ⊉ \nsupseteq ⊉ ⋬ \ntrianglelefteq ⋬ ⫋ \subsetne ⫋ ⫌ \supsetne ⫌ ⋭ \ntrianglerighteq ⋭ ↚ \nleftarrow ↚ ↛ \nrightarrow ↛ ↮ \nleftrightarrow ↮ ⇍ \nLeftarrow ⇍ ⇏ \nRightarrow ⇏ ⇎ \nLeftrightarrow ⇎
\nless \ngtr \varsubsetne \lneq \gneq \varsupsetne \nleq \ngeq \nsubsete \nleqslant \ngeqslant \nsupsete \lne \gne \nmid \lvertne \gvertne \nparallel \nle \nge \nshortmid \lnsim \gnsim \nshortparallel \lnapprox \gnapprox \nsim \nprec \nsucc \ncong \npreceq \nsucceq \nvdash \precne \succne \nvDash \precnsim \succnsim \nVdash \precnapprox \succnapprox \nVDash \subsetneq \supsetneq \ntriangleleft \varsubsetneq \varsupsetneq \ntriangleright \nsubseteq \nsupseteq \ntrianglelefteq \subsetne \supsetne \ntrianglerighteq \nleftarrow \nrightarrow \nleftrightarrow \nLeftarrow \nRightarrow \nLeftrightarrow
| 第1列 | 第2列 | 第3列 |
|---|---|---|
| ≮ \nless ≮ \nless | ≯ \ngtr ≯ \ngtr | ⫋ \varsubsetne \varsubsetne |
| ⪇ \lneq ⪇ \lneq | ⪈ \gneq ⪈ \gneq | ⫌ \varsupsetne \varsupsetne |
| ≰ \nleq ≰ \nleq | ≱ \ngeq ≱ \ngeq | ⊈ \nsubsete \nsubsete |
| ≰ \nleqslant \nleqslant | ≱ \ngeqslant \ngeqslant | ⊉ \nsupsete \nsupsete |
| ≨ \lne ≨ \lne | ≩ \gne ≩ \gne | ∤ \nmid ∤ \nmid |
| ≨ \lvertne \lvertne | ≩ \gvertne \gvertne | ∦ \nparallel ∦ \nparallel |
| ≰ \nle \nle | ≱ \nge \nge | ∤ \nshortmid \nshortmid |
| ⋦ \lnsim ⋦ \lnsim | ⋧ \gnsim ⋧ \gnsim | ∦ \nshortparallel \nshortparallel |
| ⪉ \lnapprox ⪉ \lnapprox | ⪊ \gnapprox ⪊ \gnapprox | ≁ \nsim ≁ \nsim |
| ⊀ \nprec ⊀ \nprec | ⊁ \nsucc ⊁ \nsucc | ≆ \ncong ≆ \ncong |
| ⋠ \npreceq ⋠ \npreceq | ⋡ \nsucceq ⋡ \nsucceq | ⊬ \nvdash ⊬ \nvdash |
| ⪵ \precne ⪵ \precne | ⪶ \succne ⪶ \succne | ⊭ \nvDash ⊭ \nvDash |
| ⋨ \precnsim ⋨ \precnsim | ⋩ \succnsim ⋩ \succnsim | ⊮ \nVdash ⊮ \nVdash |
| ⪹ \precnapprox ⪹ \precnapprox | ⪺ \succnapprox ⪺ \succnapprox | ⊯ \nVDash ⊯ \nVDash |
| ⊊ \subsetneq ⊊ \subsetneq | ⊋ \supsetneq ⊋ \supsetneq | ⋪ \ntriangleleft ⋪ \ntriangleleft |
| ⊊ \varsubsetneq \varsubsetneq | ⊋ \varsupsetneq \varsupsetneq | ⋫ \ntriangleright ⋫ \ntriangleright |
| ⊈ \nsubseteq ⊈ \nsubseteq | ⊉ \nsupseteq ⊉ \nsupseteq | ⋬ \ntrianglelefteq ⋬ \ntrianglelefteq |
| ⫋ \subsetne ⫋ \subsetne | ⫌ \supsetne ⫌ \supsetne | ⋭ \ntrianglerighteq ⋭ \ntrianglerighteq |
| ↚ \nleftarrow ↚ \nleftarrow | ↛ \nrightarrow ↛ \nrightarrow | ↮ \nleftrightarrow ↮ \nleftrightarrow |
| ⇍ \nLeftarrow ⇍ \nLeftarrow | ⇏ \nRightarrow ⇏ \nRightarrow | ⇎ \nLeftrightarrow ⇎ \nLeftrightarrow |
1.17 AMS 二元运算符
∔ \dotplus ∔ ⋅ \centerdot ⋅ ⊺ \intercal ⊺ ⋉ \ltimes ⋉ ⋊ \rtimes ⋊ ⋇ \divideontimes ⋇ ⋓ \Cup ⋓ ⋒ \Cap ⋒ ∖ \smallsetminus ∖ ⊻ \veebar ⊻ ⊼ \barwedge ⊼ ⩞ \doublebarwedge ⩞ ⊞ \boxplus ⊞ ⊟ \boxminus ⊟ ⊝ \circleddash ⊝ ⊠ \boxtimes ⊠ ⊡ \boxdot ⊡ ⊚ \circledcirc ⊚ ⋋ \leftthreetimes ⋋ ⋌ \rightthreetimes ⋌ ⊛ \circledast ⊛ ⋎ \curlyvee ⋎ ⋏ \curlywedge ⋏
\dotplus \centerdot \intercal \ltimes \rtimes \divideontimes \Cup \Cap \smallsetminus \veebar \barwedge \doublebarwedge \boxplus \boxminus \circleddash \boxtimes \boxdot \circledcirc \leftthreetimes \rightthreetimes \circledast \curlyvee \curlywedge
| 第1列 | 第2列 | 第3列 |
|---|---|---|
| ∔ \dotplus ∔ \dotplus | ⋅ \centerdot ⋅ \centerdot | ⊺ \intercal ⊺ \intercal |
| ⋉ \ltimes ⋉ \ltimes | ⋊ \rtimes ⋊ \rtimes | ⋇ \divideontimes ⋇ \divideontimes |
| ⋓ \Cup ⋓ \Cup or \doublecup | ⋒ \Cap ⋒ \Cap or \doublecap | ∖ \smallsetminus ∖ \smallsetminus |
| ⊻ \veebar ⊻ \veebar | ⊼ \barwedge ⊼ \barwedge | ⩞ \doublebarwedge ⩞ \doublebarwedge |
| ⊞ \boxplus ⊞ \boxplus | ⊟ \boxminus ⊟ \boxminus | ⊝ \circleddash ⊝ \circleddash |
| ⊠ \boxtimes ⊠ \boxtimes | ⊡ \boxdot ⊡ \boxdot | ⊚ \circledcirc ⊚ \circledcirc |
| ⋋ \leftthreetimes ⋋ \leftthreetimes | ⋌ \rightthreetimes ⋌ \rightthreetimes | ⊛ \circledast ⊛ \circledast |
| ⋎ \curlyvee ⋎ \curlyvee | ⋏ \curlywedge ⋏ \curlywedge |
1.18 AMS 其它符号
ℏ \hbar ℏ ℏ \hslash ℏ k \Bbbk k □ \square □ ■ \blacksquare ■ Ⓢ \circledS Ⓢ △ \vartriangle △ ▲ \blacktriangle ▲ ∁ \complement ∁ ▽ \triangledown ▽ ▼ \blacktriangledown ▼ ⅁ \Game ⅁ ◊ \lozenge ◊ ⧫ \blacklozenge ⧫ ★ \bigstar ★ ∠ \angle ∠ ∡ \measuredangle ∡ ∢ \sphericalangle ∢ ╱ \diagup ╱ ╲ \diagdown ╲ ‵ \backprime ‵ ∄ \nexists ∄ Ⅎ \Finv Ⅎ ∅ \varnothing ∅ ð \eth ð ℧ \mho ℧
\hbar \hslash \Bbbk \square \blacksquare \circledS \vartriangle \blacktriangle \complement \triangledown \blacktriangledown \Game \lozenge \blacklozenge \bigstar \angle \measuredangle \sphericalangle \diagup \diagdown \backprime \nexists \Finv \varnothing \eth \mho
| 第1列 | 第2列 | 第3列 |
|---|---|---|
| ℏ \hbar ℏ \hbar | ℏ \hslash ℏ \hslash | k \Bbbk k \Bbbk |
| □ \square □ \square | ■ \blacksquare ■ \blacksquare | Ⓢ \circledS Ⓢ \circledS |
| △ \vartriangle △ \vartriangle | ▲ \blacktriangle ▲ \blacktriangle | ∁ \complement ∁ \complement |
| ▽ \triangledown ▽ \triangledown | ▼ \blacktriangledown ▼ \blacktriangledown | ⅁ \Game ⅁ \Game |
| ◊ \lozenge ◊ \lozenge | ⧫ \blacklozenge ⧫ \blacklozenge | ★ \bigstar ★ \bigstar |
| ∠ \angle ∠ \angle | ∡ \measuredangle ∡ \measuredangle | ∢ \sphericalangle ∢ \sphericalangle |
| ╱ \diagup ╱ \diagup | ╲ \diagdown ╲ \diagdown | ‵ \backprime ‵ \backprime |
| ∄ \nexists ∄ \nexists | Ⅎ \Finv Ⅎ \Finv | ∅ \varnothing ∅ \varnothing |
| ð \eth ð \eth | ℧ \mho ℧ \mho |
1.19 数学字母
A B C d e f \mathrm{ABCdef} ABCdef A B C d e f \mathit{ABCdef} ABCdef A B C d e f ABCdef ABCdef A B C \mathcal{ABC} ABC A B C \mathcal{ABC} ABC A B C \mathscr{ABC} ABC A B C d e f \mathfrak{ABCdef} ABCdef A B C \mathbb{ABC} ABC
\mathrm{ABCdef} \mathit{ABCdef} \mathnormal{ABCdef} \mathcal{ABC} \mathcal{ABC} \mathcal{ABC} \mathscr{ABC} \mathfrak{ABCdef} \mathbb{ABC}
- 注:第三个例子不需要 \mathnormal{} 。
| 例子 | 命令 | 所需宏包 |
|---|---|---|
| A B C d e f \mathrm{ABCdef} ABCdef | \mathrm{ABCdef} | |
| A B C d e f \mathit{ABCdef} ABCdef | \mathit{ABCdef} | |
| A B C d e f ABCdef ABCdef | \mathnormal{ABCdef} | |
| A B C \mathcal{ABC} ABC | \mathcal{ABC} | |
| A B C \mathcal{ABC} ABC | \mathcal{ABC} | mathrsfs |
| A B C \mathscr{ABC} ABC | \mathcal{ABC} | eucal with option: mathcal or |
| \mathscr{ABC} | eucal with option: mathscr | |
| A B C d e f \mathfrak{ABCdef} ABCdef | \mathfrak{ABCdef} | eufrak |
| A B C \mathbb{ABC} ABC | \mathbb{ABC} | amsfonts or amssymb |
一些常用格式
a b a b ∫ f ( x ) d x ∫ a b f ( x ) d x ⋂ i = 1 n ∑ i = 1 n ∏ i = 1 n a^{b} \frac{a}{b} \int f(x)dx \int^{b}_{a} f(x)dx \bigcap^{n}_{i=1} \sum^{n}_{i=1} \prod^{n}_{i=1} abba∫f(x)dx∫abf(x)dxi=1⋂ni=1∑ni=1∏n
a^{b} \frac{a}{b} \int f(x)dx \int^{b}_{a} f(x)dx \bigcap^{n}_{i=1} \sum^{n}_{i=1} \prod^{n}_{i=1}
a ˙ a ¨ a ′ ′ a ′ α β γ δ ϵ ε ζ η P N ∴ ∠ ∡ ∵ ± ∓ × ⋅ ∗ ∩ ∪ \dot{a} \ddot{a} {a}” {a}’ \alpha \beta \gamma \delta \epsilon \varepsilon \zeta \eta \mathbb{P}\mathbb{N} \therefore \angle \measuredangle \because \pm \mp \times \cdot \ast \cap \cup a˙a¨a′′a′αβγδϵεζηPN∴∠∡∵±∓×⋅∗∩∪
\dot{a} \ddot{a}{a}''{a}'\alpha \beta \gamma \delta \epsilon \varepsilon \zeta \eta \mathbb{P}\mathbb{N} \therefore \angle \measuredangle \because \pm \mp \times \cdot \ast \cap \cup
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 {\color{Red} 1}{\color{Green} 2}{\color{Blue} 3}{\color{Yellow} 4}{\color{Cyan} 5}{\color{Magenta} 6}{\color{Teal} 7}{\color{Purple} 8}{\color{DarkBlue} 9}{\color{DarkRed} 10}{\color{Orange} 11}{\color{DarkOrange} 12}{\color{Golden} 13}{\color{Pink} 14}{\color{DarkGreen} 15}{\color{Orchid} 16}{\color{Emerald} 17} 1234567891011121314151617
{\color{Red} 1}{\color{Green} 2}{\color{Blue} 3}{\color{Yellow} 4} {\color{Cyan} 5}{\color{Magenta} 6}{\color{Teal} 7}{\color{Purple} 8} {\color{DarkBlue} 9}{\color{DarkRed} 10}{\color{Orange} 11} {\color{DarkOrange} 12}{\color{Golden} 13}{\color{Pink} 14} {\color{DarkGreen} 15}{\color{Orchid} 16}{\color{Emerald} 17}
sin cos tan csc sec cot sinh cosh tanh coth arcsin arccos arctan arccsc arcsec arccot sin − 1 cos − 1 tan − 1 sinh − 1 cosh − 1 tanh − 1 \sin \cos \tan \csc \sec \cot \sinh \cosh \tanh \coth \\ \arcsin \arccos \arctan \textrm{arccsc} \ \textrm{arcsec} \ \textrm{arccot} \sin^{-1} \cos^{-1} \tan^{-1} \sinh^{-1} \cosh^{-1} \tanh^{-1} sincostancscseccotsinhcoshtanhcotharcsinarccosarctanarccsc arcsec arccotsin−1cos−1tan−1sinh−1cosh−1tanh−1
\sin \cos \tan \csc \sec \cot \sinh \cosh \tanh \coth \\ \arcsin \arccos \arctan \textrm{arccsc} \ \textrm{arcsec} \ \textrm{arccot} \sin^{-1} \cos^{-1} \tan^{-1} \sinh^{-1} \cosh^{-1} \tanh^{-1}
exp lg ln log log e log 10 lim lim inf lim sup max min ∞ arg det dim gcd hom ker Pr sup \exp \lg \ln \log \log_{e}\log_{10}\lim \liminf \limsup \max \min \infty \\ \arg \det \dim \gcd \hom \ker \Pr \sup explglnloglogelog10limliminflimsupmaxmin∞argdetdimgcdhomkerPrsup
\exp \lg \ln \log \log_{e}\log_{10}\lim \liminf \limsup \max \min \infty \\ \arg \det \dim \gcd \hom \ker \Pr \sup
( n r ) 1 → n x ↦ x 2 ⇒ ⇐ ← → ⇔ ↔ ↼ ⇀ ⇁ ↽ ⇋ ⇌ → a a b c ~ a b c ^ a b c ← a b c → \binom{n}{r} 1 \to n \ x \mapsto x^2 \Rightarrow \Leftarrow \leftarrow \rightarrow \Leftrightarrow \leftrightarrow \leftharpoonup \rightharpoonup \rightharpoondown \leftharpoondown \leftrightharpoons \rightleftharpoons \overset{a}{\rightarrow}\widetilde{abc}\widehat{abc} \overleftarrow{abc}\overrightarrow{abc} (rn)1→n x↦x2⇒⇐←→⇔↔↼⇀⇁↽⇋⇌→aabc
abc
abcabc
\binom{n}{r} 1 \to n \ x \mapsto x^2 \Rightarrow \Leftarrow \leftarrow \rightarrow \Leftrightarrow \leftrightarrow \leftharpoonup \rightharpoonup \rightharpoondown \leftharpoondown \leftrightharpoons \rightleftharpoons \overset{a} {\rightarrow}\widetilde{abc}\widehat{abc} \overleftarrow{abc}\overrightarrow{abc}
( 1 2 3 4 ) \begin{pmatrix} 1 & 2\\ 3 & 4 \end{pmatrix} (1324)
[ 1 2 3 4 ] \begin{bmatrix} 1 & 2\\ 3 & 4 \end{bmatrix} [1324]
1 2 3 4 \begin{matrix} 1 & 2\\ 3 & 4 \end{matrix} 1324
{ 1 if x = 1 2 if x = 2 \begin{cases} 1 & \text{ if } x=1 \\ 2 & \text{ if } x=2 \end{cases} {
12 if x=1 if x=2
x 1 = 1 x 2 = 2 \begin{aligned} x_1 &= 1\\ x_2 &= 2 \end{aligned} x1x2=1=2
% CSDN中不能一个 $$数学公式$$ 显示多个矩阵吗? \begin{pmatrix} 1 & 2\\ 3 & 4 \end{pmatrix} \begin{bmatrix} 1 & 2\\ 3 & 4 \end{bmatrix} \begin{matrix} 1 & 2\\ 3 & 4\ \end{matrix} \\ \begin{cases} 1 & \text{ if } x=1 \\ 2 & \text{ if } x=2 \end{cases} \\ \begin{aligned} x_1 &= 1\\ x_2 &= 2 \end{aligned}
正文完
本文源码
LaTeX数学符号表 本文来源:[http://www.mohu.org/info/lshort-cn.pdf](http://www.mohu.org/info/lshort-cn.pdf) 的50-56页。 下面的表格中将给出在数学模式中常用的所有符号。使用表 1.12–1.16所列出的符号,必须事先安装 AMS 数学字库并且在文档的导言区加载宏包: amssymb。如果你的系统中没有安装 AMS 宏包和数学字库,可去下述地址下载:[CTAN:/tex-archive/macros/latex/required/amslatex](https://www.ctan.org/pkg/amslatex) 。 如果你的md编辑器显示错误,[这里](https://latex.codecogs.com/eqneditor/editor.php) 可以正常显示。 在线公式编辑网站:[https://latex.codecogs.com/eqneditor/editor.php](https://latex.codecogs.com/eqneditor/editor.php) ---- 1.1 数学模式重音符 $\hat{a}$ $\check{a}$ $\tilde{a}$ $\acute{a}$ $\grave{a}$ $\dot{a}$ $\ddot{a}$ $\breve{a}$ $\bar{a}$ $\vec{a}$ $\widehat{A}$ $\widetilde{A}$ | 第1列 | 第2列 | 第3列 | 第4列 | | ---------------------- | ---------------------- | -------------------------- | ------------------------------ | | $\hat{a}$ \hat{a} | $\check{a}$ \check{a} | $\tilde{a}$ \tilde{a} | $\acute{a}$ \acute{a} | | $\grave{a}$ \grave{a} | $\dot{a}$ \dot{a} | $\ddot{a}$ \ddot{a} | $\breve{a}$ \breve{a} | | $\bar{a}$ \bar{a} | $\vec{a}$ \vec{a} | $\widehat{A}$ \widehat{A} | $\widetilde{A}$ \widetilde{A} | 1.2 小写希腊字母 $\alpha$ $\theta$ $o$ $\upsilon$ $\beta$ $\vartheta$ $\pi$ $\phi$ $\gamma$ $\iota$ $\varpi$ $\varphi$ $\delta$ $\kappa$ $\rho$ $\chi$ $\epsilon$ $\lambda$ $\varrho$ $\psi$ $\varepsilon$ $\mu$ $\sigma$ $\omega$ $\zeta$ $\nu$ $\varsigma$ $\eta$ $\xi$ $\tau$ | 第1列 | 第2列 | 第3列 | 第4列 | | -------------------------- | ---------------------- | ---------------------- | -------------------- | | $\alpha$ \alpha | $\theta$ \theta | $o$ o | $\upsilon$ \upsilon | | $\beta$ \beta | $\vartheta$ \vartheta | $\pi$ \pi | $\phi$ \phi | | $\gamma$ \gamma | $\iota$ \iota | $\varpi$ \varpi | $\varphi$ \varphi | | $\delta$ \delta | $\kappa$ \kappa | $\rho$ \rho | $\chi$ \chi | | $\epsilon$ \epsilon | $\lambda$ \lambda | $\varrho$ \varrho | $\psi$ \psi | | $\varepsilon$ \varepsilon | $\mu$ \mu | $\sigma$ \sigma | $\omega$ \omega | | $\zeta$ \zeta | $\nu$ \nu | $\varsigma$ \varsigma | | | $\eta$ \eta | $\xi$ \xi | $\tau$ \tau | | 1.3 大写希腊字母 $\Gamma$ $\Lambda$ $\Sigma$ $\Psi$ $\Delta$ $\Xi$ $\Upsilon$ $\Omega$ $\Theta$ $\Pi$ $\Phi$ | 第1列 | 第2列 | 第3列 | 第4列 | | ---------------- | ------------------ | -------------------- | ---------------- | | $\Gamma$ \Gamma | $\Lambda$ \Lambda | $\Sigma$ \Sigma | $\Psi$ \Psi | | $\Delta$ \Delta | $\Xi$ \Xi | $\Upsilon$ \Upsilon | $\Omega$ \Omega | | $\Theta$ \Theta | $\Pi$ \Pi | $\Phi$ \Phi | | 1.4 二元关系符 你可以在下述命令的前面加上 \not 来得到其否定形式。 $<$ $>$ $=$ $\leq$ $\geq$ $\equiv$ $\ll$ $\gg$ $\doteq$ $\prec$ $\succ$ $\sim$ $\preceq$ $\succeq$ $\simeq$ $\subset$ $\supset$ $\approx$ $\subseteq$ $\supseteq$ $\cong$ $\sqsubset$ $\sqsupset$ $\Join$ $\sqsubseteq$ $\sqsupseteq$ $\bowtie$ $\in$ $\ni$ $\propto$ $\vdash$ $\dashv$ $\models$ $\mid$ $\parallel$ $\perp$ $\smile$ $\frown$ $\asymp$ $:$ $\notin$ $\neq$ | 第1列 | 第2列 | 第3列 | | -------------------------- | -------------------------- | ------------------- | | $<$ < | $>$ > | $=$ = | | $\le$ \leq or \le | $\ge$ \geq or \ge | $\equiv$ \equiv | | $\ll$ \ll | $\gg$ \gg | $\doteq$ \doteq | | $\prec$ \prec | $\succ$ \succ | $\sim$ \sim | | $\preceq$ \preceq | $\succeq$ \succeq | $\simeq$ \simeq | | $\subset$ \subset | $\supset$ \supset | $\approx$ \approx | | $\subseteq$ \subseteq | $\supseteq$ \supseteq | $\cong$ \cong | | $\sqsubset$ \sqsubset | $\sqsupset$ \sqsupset | $\Join$ \Join | | $\sqsubseteq$ \sqsubseteq | $\sqsupseteq$ \sqsupseteq | $\bowtie$ \bowtie | | $\in$ \in | $\owns$ \ni or \owns | $\propto$ \propto | | $\vdash$ \vdash | $\dashv$ \dashv | $\models$ \models | | $\mid$ \mid | $\parallel$ \parallel | $\perp$ \perp | | $\smile$ \smile | $\frown$ \frown | $\asymp$ \asymp | | $:$ : | $\notin$ \notin | $\neq$ \neq or \ne | 1.5 二元运算符 $+$ $-$ $\pm$ $\mp$ $\triangleleft$ $\cdot$ $\div$ $\triangleright$ $\times$ $\setminus$ $\star$ $\cup$ $\cap$ $\ast$ $\sqcup$ $\sqcap$ $\circ$ $\vee$ $\wedge$ $\bullet$ $\oplus$ $\ominus$ $\diamond$ $\odot$ $\oslash$ $\uplus$ $\otimes$ $\bigcirc$ $\amalg$ $\bigtriangleup$ $\bigtriangledown$ $\dagger$ $\lhd$ $\rhd$ $\ddagger$ $\unlhd$ $\unrhd$ $\wr$ | 第1列 | 第2列 | 第3列 | | -------------------------------- | ------------------------------------ | -------------------------------- | | $+$ + | $-$ - | | | $\pm$ \pm | $\mp$ \mp | $\triangleleft$ \triangleleft | | $\cdot$ \cdot | $\div$ \div | $\triangleright$ \triangleright | | $\times$ \times | $\setminus$ \setminus | $\star$ \star | | $\cup$ \cup | $\cap$ \cap | $\ast$ \ast | | $\sqcup$ \sqcup | $\sqcap$ \sqcap | $\circ$ \circ | | $\vee$ \vee or \lor | $\wedge$ \wedge or \land | $\bullet$ \bullet | | $\oplus$ \oplus | $\ominus$ \ominus | $\diamond$ \diamond | | $\odot$ \odot | $\oslash$ \oslash | $\uplus$ \uplus | | $\otimes$ \otimes | $\bigcirc$ \bigcirc | $\amalg$ \amalg | | $\bigtriangleup$ \bigtriangleup | $\bigtriangledown$ \bigtriangledown | $\dagger$ \dagger | | $\lhd$ \lhd | $\rhd$ \rhd | $\ddagger$ \ddagger | | $\unlhd$ \unlhd | $\unrhd$ \unrhd | $\wr$ \wr | 1.6 大尺寸运算符 $\sum$ $\bigcup$ $\bigvee$ $\bigoplus$ $\prod$ $\bigcap$ $\bigwedge$ $\bigotimes$ $\coprod$ $\bigsqcup$ $\bigodot$ $\int$ $\oint$ $\biguplus$ | 第1列 | 第2列 | 第3列 | 第4列 | | ------------------ | ---------------------- | ---------------------- | ------------------------ | | $\sum$ \sum | $\bigcup$ \bigcup | $\bigvee$ \bigvee | $\bigoplus$ \bigoplus | | $\prod$ \prod | $\bigcap$ \bigcap | $\bigwedge$ \bigwedge | $\bigotimes$ \bigotimes | | $\coprod$ \coprod | $\bigsqcup$ \bigsqcup | | $\bigodot$ \bigodot | | $\int$ \int | $\oint$ \oint | | $\biguplus$ \biguplus | 1.7 箭头 $\gets$ $\longleftarrow$ $\uparrow$ $\to$ $\longrightarrow$ $\downarrow$ $\leftrightarrow$ $\longleftrightarrow$ $\updownarrow$ $\Leftarrow$ $\Longleftarrow$ $\Uparrow$ $\Rightarrow$ $\Longrightarrow$ $\Downarrow$ $\Leftrightarrow$ $\Longleftrightarrow$ $\Updownarrow$ $\mapsto$ $\longmapsto$ $\nearrow$ $\hookleftarrow$ $\hookrightarrow$ $\searrow$ $\leftharpoonup$ $\rightharpoonup$ $\swarrow$ $\leftharpoondown$ $\rightharpoondown$ $\nwarrow$ $\rightleftharpoons$ $\iff$ $\leadsto$ | 第1列 | 第2列 | 第3列 | | ---------------------------------------- | ------------------------------------------ | ---------------------------- | | $\leftarrow$ \leftarrow or \gets | $\longleftarrow$ \longleftarrow | $\uparrow$ \uparrow | | $\rightarrow$ \rightarrow or \to | $\longrightarrow$ \longrightarrow | $\downarrow$ \downarrow | | $\leftrightarrow$ \leftrightarrow | $\longleftrightarrow$ \longleftrightarrow | $\updownarrow$ \updownarrow | | $\Leftarrow$ \Leftarrow | $\Longleftarrow$ \Longleftarrow | $\Uparrow$ \Uparrow | | $\Rightarrow$ \Rightarrow | $\Longrightarrow$ \Longrightarrow | $\Downarrow$ \Downarrow | | $\Leftrightarrow$ \Leftrightarrow | $\Longleftrightarrow$ \Longleftrightarrow | $\Updownarrow$ \Updownarrow | | $\mapsto$ \mapsto | $\longmapsto$ \longmapsto | $\nearrow$ \nearrow | | $\hookleftarrow$ \hookleftarrow | $\hookrightarrow$ \hookrightarrow | $\searrow$ \searrow | | $\leftharpoonup$ \leftharpoonup | $\rightharpoonup$ \rightharpoonup | $\swarrow$ \swarrow | | $\leftharpoondown$ \leftharpoondown | $\rightharpoondown$ \rightharpoondown | $\nwarrow$ \nwarrow | | $\rightleftharpoons$ \rightleftharpoons | $\iff$ \iff | $\leadsto$ \leadsto | 1.8 定界符 $($ $)$ $\uparrow$ $\Uparrow$ $\lbrack$ $\rbrack$ $\downarrow$ $\Downarrow$ $\lbrace$ $\rbrace$ $\updownarrow$ $\Updownarrow$ $\langle$ $\rangle$ $\vert$ $\Vert$ $\lfloor$ $\rfloor$ $\lceil$ $\rceil$ $/$ $\backslash$ $~$ 最后一个符号(dual. empty)不知道是啥。 | $($ ( | $)$ ) | $\uparrow$ \uparrow | $\Uparrow$ \Uparrow | | ------------------- | ------------------------ | ---------------------------- | ---------------------------- | | $[$ [ or \lbrack | $]$ ] or \rbrack | $\downarrow$ \downarrow | $\Downarrow$ \Downarrow | | $\{$ \{ or \lbrace | $\}$ \} or \rbrace | $\updownarrow$ \updownarrow | $\Updownarrow$ \Updownarrow | | $\langle$ \langle | $\rangle$ \rangle | $|$ \| or \vert | $\|$ \\| or \Vert | | $\lfloor$ \lfloor | $\rfloor$ \rfloor | $\lceil$ \lceil | $\rceil$ \rceil | | $/$ / | $\backslash$ \backslash | $~$ ~(不知道是啥) | | 1.9 大尺寸定界符 CSDN显示错误,出现报错信息,不过 jupter notebook 和 Typora 能正确显示。 $\lgroup$ $\rgroup$ $\lmoustache$ $\rmoustache$ $\Arrowvert$ $\Arrowvert$ $\bracevert$ | 第1列 | 第2列 | 第3列 | 第4列 | | ------------------------ | ------------------------ | -------------------------- | -------------------------- | | $\lgroup$ \lgroup | $\rgroup$ \rgroup | $\lmoustache$ \lmoustache | $\rmoustache$ \rmoustache | | $\Arrowvert$ \Arrowvert | $\Arrowvert$ \Arrowvert | $\bracevert$ \bracevert | | 1.10 其它符号 $\dots$ $\cdots$ $\vdots$ $\ddots$ $\hbar$ $\imath$ $\jmath$ $\ell$ $\Re$ $\Im$ $\aleph$ $\wp$ $\forall$ $\exists$ $\mho$ $\partial$ $'$ $\prime$ $\emptyset$ $\infty$ $\nabla$ $\triangle$ $\Box$ $\Diamond$ $\bot$ $\top$ $\angle$ $\surd$ $\diamondsuit$ $\heartsuit$ $\clubsuit$ $\spadesuit$ $\neg$ $\flat$ $\natural$ $\sharp$ | 第1列 | 第2列 | 第3列 | 第4列 | | ---------------------------- | ------------------------ | ---------------------- | ------------------------ | | $\dots$ \dots | $\cdots$ \cdots | $\vdots$ \vdots | $\ddots$ \ddots | | $\hbar$ \hbar | $\imath$ \imath | $\jmath$ \jmath | $\ell$ \ell | | $\Re$ \Re | $\Im$ \Im | $\aleph$ \aleph | $\wp$ \wp | | $\forall$ \forall | $\exists$ \exists | $\mho$ \mho | $\partial$ \partial | | $'$ ' | $\prime$ \prime | $\emptyset$ \emptyset | $\infty$ \infty | | $\nabla$ \nabla | $\triangle$ \triangle | $\Box$ \Box | $\Diamond$ \Diamond | | $\bot$ \bot | $\top$ \top | $\angle$ \angle | $\surd$ \surd | | $\diamondsuit$ \diamondsuit | $\heartsuit$ \heartsuit | $\clubsuit$ \clubsuit | $\spadesuit$ \spadesuit | | $\neg$ \neg or \lnot | $\flat$ \flat | $\natural$ \natural | $\sharp$ \sharp | 1.11 非数学符号 这些符号也可以在文本模式中使用。(如果你的md编辑器显示错误,[这里](https://latex.codecogs.com/eqneditor/editor.php) 可以正常显示) $\dag$ $\S$ $\copyright$ $\ddag$ $\P$ $\pounds$ | 第1列 | 第2列 | 第3列 | | -------------- | -------- | ------------------------ | | $\dag$ \dag | $\S$ \S | $\copyright$ \copyright | | $\ddag$ \ddag | $\P$ \P | $\pounds$ \pounds | 1.12 AMS 定界符 $\ulcorner$ $\urcorner$ $\llcorner$ $\lrcorner$ $\lvert$ $\rvert$ $\lVert$ $\rVert$ | 第1列 | 第2列 | 第3列 | 第4列 | | ---------------------- | ---------------------- | ---------------------- | ---------------------- | | $\ulcorner$ \ulcorner | $\urcorner$ \urcorner | $\llcorner$ \llcorner | $\lrcorner$ \lrcorner | | $\lvert$ \lvert | $\rvert$ \rvert | $\lVert$ \lVert | $\rVert$ \rVert | 1.13 AMS 希腊和希伯来字母 $\digamma$ $\varkappa$ $\beth$ $\daleth$ $\gimel$ | 第1列 | 第2列 | 第3列 | 第4列 | 第5列 | | -------------------- | ---------------------- | -------------- | ------------------ | ---------------- | | $\digamma$ \digamma | $\varkappa$ \varkappa | $\beth$ \beth | $\daleth$ \daleth | $\gimel$ \gimel | 1.14 AMS 二元关系符 $\lessdot$ $\gtrdot$ $\Doteq$ $\leqslant$ $\geqslant$ $\risingdotseq$ $\eqslantless$ $\eqslantgtr$ $\fallingdotseq$ $\le$ $\ge$ $\eqcirc$ $\lll $ $\ggg$ $\circeq$ $\lesssim$ $\gtrsim$ $\triangleq$ $\lessapprox$ $\gtrapprox$ $\bumpeq$ $\lessgtr$ $\gtrless$ $\Bumpeq$ $\lesseqgtr$ $\gtreqless$ $\thicksim$ $\lessegtr$ $\gtreless$ $\thickapprox$ $\preccurlyeq$ $\succcurlyeq$ $\approxeq$ $\curlyeqprec$ $\curlyeqsucc$ $\backsim$ $\precsim$ $\succsim$ $\backsimeq$ $\precapprox$ $\succapprox$ $\vDash$ $\subsete$ $\supsete$ $\Vdash$ $\Subset$ $\Supset$ $\Vvdash$ $\sqsubset$ $\sqsupset$ $\backepsilon$ $\therefore$ $\because$ $\varpropto$ $\shortmid$ $\shortparallel$ $\between$ $\smallsmile$ $\smallfrown$ $\pitchfork$ $\vartriangleleft$ $\vartriangleright$ $\blacktriangleleft$ $\trianglelefteq$ $\trianglerighteq$ $\blacktriangleright$ | 第1列 | 第2列 | 第3列 | | ------------------------------------ | -------------------------------------- | ------------------------------------------ | | $\lessdot$ \lessdot | $\gtrdot$ \gtrdot | $\Doteq$ \doteqdot or \Doteq | | $\leqslant$ \leqslant | $\geqslant$ \geqslant | $\risingdotseq$ \risingdotseq | | $\eqslantless$ \eqslantless | $\eqslantgtr$ \eqslantgtr | $\fallingdotseq$ \fallingdotseq | | $\le$ \le | $\ge$ \ge | $\eqcirc$ \eqcirc | | $\llless$ \lll or \llless | $\gggtr$ \ggg or \gggtr | $\circeq$ \circeq | | $\lesssim$ \lesssim | $\gtrsim$ \gtrsim | $\triangleq$ \triangleq | | $\lessapprox$ \lessapprox | $\gtrapprox$ \gtrapprox | $\bumpeq$ \bumpeq | | $\lessgtr$ \lessgtr | $\gtrless$ \gtrless | $\Bumpeq$ \Bumpeq | | $\lesseqgtr$ \lesseqgtr | $\gtreqless$ \gtreqless | $\thicksim$ \thicksim | | $\lessegtr$ \lessegtr | $\gtreless$ \gtreless | $\thickapprox$ \thickapprox | | $\preccurlyeq$ \preccurlyeq | $\succcurlyeq$ \succcurlyeq | $\approxeq$ \approxeq | | $\curlyeqprec$ \curlyeqprec | $\curlyeqsucc$ \curlyeqsucc | $\backsim$ \backsim | | $\precsim$ \precsim | $\succsim$ \succsim | $\backsimeq$ \backsimeq | | $\precapprox$ \precapprox | $\succapprox$ \succapprox | $\vDash$ \vDash | | $\subsete$ \subsete | $\supsete$ \supsete | $\Vdash$ \Vdash | | $\Subset$ \Subset | $\Supset$ \Supset | $\Vvdash$ \Vvdash | | $\sqsubset$ \sqsubset | $\sqsupset$ \sqsupset | $\backepsilon$ \backepsilon | | $\therefore$ \therefore | $\because$ \because | $\varpropto$ \varpropto | | $\shortmid$ \shortmid | $\shortparallel$ \shortparallel | $\between$ \between | | $\smallsmile$ \smallsmile | $\smallfrown$ \smallfrown | $\pitchfork$ \pitchfork | | $\vartriangleleft$ \vartriangleleft | $\vartriangleright$ \vartriangleright | $\blacktriangleleft$ \blacktriangleleft | | $\trianglelefteq$ \trianglelefteq | $\trianglerighteq$ \trianglerighteq | $\blacktriangleright$ \blacktriangleright | 1.15 AMS 箭头 $\dashleftarrow$ $\dashrightarrow$ $\multimap$ $\leftleftarrows$ $\rightrightarrows$ $\upuparrows$ $\leftrightarrows$ $\rightleftarrows$ $\downdownarrows$ $\Lleftarrow$ $\Rrightarrow$ $\upharpoonleft$ $\twoheadleftarrow$ $\twoheadrightarrow$ $\upharpoonright$ $\leftarrowtail$ $\rightarrowtail$ $\downharpoonleft$ $\leftrightharpoons$ $\rightleftharpoons$ $\downharpoonright$ $\Lsh$ $\Rsh$ $\rightsquigarrow$ $\looparrowleft$ $\looparrowright$ $\leftrightsquigarrow$ $\curvearrowleft$ $\curvearrowright$ $\circlearrowleft$ $\circlearrowright$ | 第1列 | 第2列 | 第3列 | | ---------------------------------------- | ---------------------------------------- | -------------------------------------------- | | $\dashleftarrow$ \dashleftarrow | $\dashrightarrow$ \dashrightarrow | $\multimap$ \multimap | | $\leftleftarrows$ \leftleftarrows | $\rightrightarrows$ \rightrightarrows | $\upuparrows$ \upuparrows | | $\leftrightarrows$ \leftrightarrows | $\rightleftarrows$ \rightleftarrows | $\downdownarrows$ \downdownarrows | | $\Lleftarrow$ \Lleftarrow | $\Rrightarrow$ \Rrightarrow | $\upharpoonleft$ \upharpoonleft | | $\twoheadleftarrow$ \twoheadleftarrow | $\twoheadrightarrow$ \twoheadrightarrow | $\upharpoonright$ \upharpoonright | | $\leftarrowtail$ \leftarrowtail | $\rightarrowtail$ \rightarrowtail | $\downharpoonleft$ \downharpoonleft | | $\leftrightharpoons$ \leftrightharpoons | $\rightleftharpoons$ \rightleftharpoons | $\downharpoonright$ \downharpoonright | | $\Lsh$ \Lsh | $\Rsh$ \Rsh | $\rightsquigarrow$ \rightsquigarrow | | $\looparrowleft$ \looparrowleft | $\looparrowright$ \looparrowright | $\leftrightsquigarrow$ \leftrightsquigarrow | | $\curvearrowleft$ \curvearrowleft | $\curvearrowright$ \curvearrowright | | | $\circlearrowleft$ \circlearrowleft | $\circlearrowright$ \circlearrowright | | 1.16 AMS 二元否定关系符和箭头 $\nless$ $\ngtr$ $\varsubsetne$ $\lneq$ $\gneq$ $\varsupsetne$ $\nleq$ $\ngeq$ $\nsubsete$ $\nleqslant$ $\ngeqslant$ $\nsupsete$ $\lne$ $\gne$ $\nmid$ $\lvertne$ $\gvertne$ $\nparallel$ $\nle$ $\nge$ $\nshortmid$ $\lnsim$ $\gnsim$ $\nshortparallel$ $\lnapprox$ $\gnapprox$ $\nsim$ $\nprec$ $\nsucc$ $\ncong$ $\npreceq$ $\nsucceq$ $\nvdash$ $\precne$ $\succne$ $\nvDash$ $\precnsim$ $\succnsim$ $\nVdash$ $\precnapprox$ $\succnapprox$ $\nVDash$ $\subsetneq$ $\supsetneq$ $\ntriangleleft$ $\varsubsetneq$ $\varsupsetneq$ $\ntriangleright$ $\nsubseteq$ $\nsupseteq$ $\ntrianglelefteq$ $\subsetne$ $\supsetne$ $\ntrianglerighteq$ $\nleftarrow$ $\nrightarrow$ $\nleftrightarrow$ $\nLeftarrow$ $\nRightarrow$ $\nLeftrightarrow$ | 第1列 | 第2列 | 第3列 | | ------------------------------ | ------------------------------ | -------------------------------------- | | $\nless$ \nless | $\ngtr$ \ngtr | $\varsubsetne$ \varsubsetne | | $\lneq$ \lneq | $\gneq$ \gneq | $\varsupsetne$ \varsupsetne | | $\nleq$ \nleq | $\ngeq$ \ngeq | $\nsubsete$ \nsubsete | | $\nleqslant$ \nleqslant | $\ngeqslant$ \ngeqslant | $\nsupsete$ \nsupsete | | $\lne$ \lne | $\gne$ \gne | $\nmid$ \nmid | | $\lvertne$ \lvertne | $\gvertne$ \gvertne | $\nparallel$ \nparallel | | $\nle$ \nle | $\nge$ \nge | $\nshortmid$ \nshortmid | | $\lnsim$ \lnsim | $\gnsim$ \gnsim | $\nshortparallel$ \nshortparallel | | $\lnapprox$ \lnapprox | $\gnapprox$ \gnapprox | $\nsim$ \nsim | | $\nprec$ \nprec | $\nsucc$ \nsucc | $\ncong$ \ncong | | $\npreceq$ \npreceq | $\nsucceq$ \nsucceq | $\nvdash$ \nvdash | | $\precne$ \precne | $\succne$ \succne | $\nvDash$ \nvDash | | $\precnsim$ \precnsim | $\succnsim$ \succnsim | $\nVdash$ \nVdash | | $\precnapprox$ \precnapprox | $\succnapprox$ \succnapprox | $\nVDash$ \nVDash | | $\subsetneq$ \subsetneq | $\supsetneq$ \supsetneq | $\ntriangleleft$ \ntriangleleft | | $\varsubsetneq$ \varsubsetneq | $\varsupsetneq$ \varsupsetneq | $\ntriangleright$ \ntriangleright | | $\nsubseteq$ \nsubseteq | $\nsupseteq$ \nsupseteq | $\ntrianglelefteq$ \ntrianglelefteq | | $\subsetne$ \subsetne | $\supsetne$ \supsetne | $\ntrianglerighteq$ \ntrianglerighteq | | $\nleftarrow$ \nleftarrow | $\nrightarrow$ \nrightarrow | $\nleftrightarrow$ \nleftrightarrow | | $\nLeftarrow$ \nLeftarrow | $\nRightarrow$ \nRightarrow | $\nLeftrightarrow$ \nLeftrightarrow | 1.17 AMS 二元运算符 $\dotplus$ $\centerdot$ $\intercal$ $\ltimes$ $\rtimes$ $\divideontimes$ $\Cup$ $\Cap$ $\smallsetminus$ $\veebar$ $\barwedge$ $\doublebarwedge$ $\boxplus$ $\boxminus$ $\circleddash$ $\boxtimes$ $\boxdot$ $\circledcirc$ $\leftthreetimes$ $\rightthreetimes$ $\circledast$ $\curlyvee$ $\curlywedge$ | 第1列 | 第2列 | 第3列 | | ---------------------------------- | ------------------------------------ | ---------------------------------- | | $\dotplus$ \dotplus | $\centerdot$ \centerdot | $\intercal$ \intercal | | $\ltimes$ \ltimes | $\rtimes$ \rtimes | $\divideontimes$ \divideontimes | | $\Cup$ \Cup or \doublecup | $\Cap$ \Cap or \doublecap | $\smallsetminus$ \smallsetminus | | $\veebar$ \veebar | $\barwedge$ \barwedge | $\doublebarwedge$ \doublebarwedge | | $\boxplus$ \boxplus | $\boxminus$ \boxminus | $\circleddash$ \circleddash | | $\boxtimes$ \boxtimes | $\boxdot$ \boxdot | $\circledcirc$ \circledcirc | | $\leftthreetimes$ \leftthreetimes | $\rightthreetimes$ \rightthreetimes | $\circledast$ \circledast | | $\curlyvee$ \curlyvee | $\curlywedge$ \curlywedge | | 1.18 AMS 其它符号 $\hbar$ $\hslash$ $\Bbbk$ $\square$ $\blacksquare$ $\circledS$ $\vartriangle$ $\blacktriangle$ $\complement$ $\triangledown$ $\blacktriangledown$ $\Game$ $\lozenge$ $\blacklozenge$ $\bigstar$ $\angle$ $\measuredangle$ $\sphericalangle$ $\diagup$ $\diagdown$ $\backprime$ $\nexists$ $\Finv$ $\varnothing$ $\eth$ $\mho$ | 第1列 | 第2列 | 第3列 | | ------------------------------ | ---------------------------------------- | ---------------------------------- | | $\hbar$ \hbar | $\hslash$ \hslash | $\Bbbk$ \Bbbk | | $\square$ \square | $\blacksquare$ \blacksquare | $\circledS$ \circledS | | $\vartriangle$ \vartriangle | $\blacktriangle$ \blacktriangle | $\complement$ \complement | | $\triangledown$ \triangledown | $\blacktriangledown$ \blacktriangledown | $\Game$ \Game | | $\lozenge$ \lozenge | $\blacklozenge$ \blacklozenge | $\bigstar$ \bigstar | | $\angle$ \angle | $\measuredangle$ \measuredangle | $\sphericalangle$ \sphericalangle | | $\diagup$ \diagup | $\diagdown$ \diagdown | $\backprime$ \backprime | | $\nexists$ \nexists | $\Finv$ \Finv | $\varnothing$ \varnothing | | $\eth$ \eth | $\mho$ \mho | | 1.19 数学字母 $\mathrm{ABCdef}$ $\mathit{ABCdef}$ $ABCdef$ $\mathcal{ABC}$ $\mathcal{ABC}$ $\mathscr{ABC}$ $\mathfrak{ABCdef}$ $\mathbb{ABC}$ - 注:第三个例子不需要 \mathnormal{} 。 | 例子 | 命令 | 所需宏包 | | ------------------- | ------------------- | ----------------------------- | | $\mathrm{ABCdef}$ | \mathrm{ABCdef} | | | $\mathit{ABCdef}$ | \mathit{ABCdef} | | | $ABCdef$ | \mathnormal{ABCdef} | | | $\mathcal{ABC}$ | \mathcal{ABC} | | | $\mathcal{ABC}$ | \mathcal{ABC} | mathrsfs | | $\mathscr{ABC}$ | \mathcal{ABC} | eucal with option: mathcal or | | | \mathscr{ABC} | eucal with option: mathscr | | $\mathfrak{ABCdef}$ | \mathfrak{ABCdef} | eufrak | | $\mathbb{ABC}$ | \mathbb{ABC} | amsfonts or amssymb | 一些常用格式 $$a^{b} \frac{a}{b} \int f(x)dx \int^{b}_{a} f(x)dx \bigcap^{n}_{i=1} \sum^{n}_{i=1} \prod^{n}_{i=1}$$ $$ \dot{a} \ddot{a} {a}'' {a}' \alpha \beta \gamma \delta \epsilon \varepsilon \zeta \eta \mathbb{P}\mathbb{N} \therefore \angle \measuredangle \because \pm \mp \times \cdot \ast \cap \cup $$ $${\color{Red} 1}{\color{Green} 2}{\color{Blue} 3}{\color{Yellow} 4}{\color{Cyan} 5}{\color{Magenta} 6}{\color{Teal} 7}{\color{Purple} 8}{\color{DarkBlue} 9}{\color{DarkRed} 10}{\color{Orange} 11}{\color{DarkOrange} 12}{\color{Golden} 13}{\color{Pink} 14}{\color{DarkGreen} 15}{\color{Orchid} 16}{\color{Emerald} 17}$$ $$\sin \cos \tan \csc \sec \cot \sinh \cosh \tanh \coth \\ \arcsin \arccos \arctan \textrm{arccsc} \ \textrm{arcsec} \ \textrm{arccot} \sin^{-1} \cos^{-1} \tan^{-1} \sinh^{-1} \cosh^{-1} \tanh^{-1} $$ $$\exp \lg \ln \log \log_{e}\log_{10}\lim \liminf \limsup \max \min \infty \\ \arg \det \dim \gcd \hom \ker \Pr \sup$$ $$\binom{n}{r} 1 \to n \ x \mapsto x^2 \Rightarrow \Leftarrow \leftarrow \rightarrow \Leftrightarrow \leftrightarrow \leftharpoonup \rightharpoonup \rightharpoondown \leftharpoondown \leftrightharpoons \rightleftharpoons \overset{a}{\rightarrow}\widetilde{abc}\widehat{abc} \overleftarrow{abc}\overrightarrow{abc}$$ $$\begin{pmatrix} 1 & 2\\ 3 & 4 \end{pmatrix}$$ $$\begin{bmatrix} 1 & 2\\ 3 & 4 \end{bmatrix}$$ $$\begin{matrix} 1 & 2\\ 3 & 4 \end{matrix}$$ $$ \begin{cases} 1 & \text{ if } x=1 \\ 2 & \text{ if } x=2 \end{cases}$$ $$\begin{aligned} x_1 &= 1\\ x_2 &= 2 \end{aligned}$$
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