【计算机科学基础】LaTeX符号语法总结

LaTeX符号语法总结

  • 运算符
  • 希腊字母
  • 字母类符号
  • 括号
  • 箭头
  • 几何学
  • 函数
  • 强调符号
  • 空白符号
  • 省略符号
  • 数值编号
  • 分式
  • 上下标
  • 根式
  • 积分
  • 求积
  • 求和
  • 极限
  • 数列
  • 矩阵
  • 行列式
  • 排列组合
  • 分段函数
  • 化学方程式
  • 文本着色
  • 文本加粗

运算符

∞\infty∞ \infty ≠\neq= \neq ×\times× \times ÷\div÷ \div ∼\sim∼ \sim
±\pm± \pm ∓\mp∓ \mp ≤\leq≤ \leq ≥\geq≥ \geq ≈\approx≈ \approx
%\%% % ∗\ast∗ \ast ⋅\cdot⋅ \cdot ≡\equiv≡ \equiv ≅\cong≅ \cong
∈\in∈ \in ∋\ni∋ \ni ∃\exists∃ \exists ∄\nexists∄ \nexists ∝\propto∝ \propto
∪\cup∪ \cup ∩\cap∩ \cap ⊥\perp⊥ \perp ∥\parallel∥ \parallel ∘\circ∘ \circ
⊆\subseteq⊆ \subseteq ⫋⫋⫋ ⫋ ∀∀∀ ∀ ≆\ncong≆ \ncong ≁\nsim≁ \nsim
=== = +++ + ≪\ll≪ \ll ≫\gg≫ \gg ⊂\subset⊂ \subset
≐\doteq≐ \doteq <<< < >>> > ≺\prec≺ \prec ≻\succ≻ \succ
⪯\preceq⪯ \preceq ⪰\succeq⪰ \succeq ⊃\supset⊃ \supset ≃\simeq≃ \simeq ⊇\supseteq⊇ \supseteq
⊈\nsubseteq⊈ \nsubseteq ⊏\sqsubset⊏ \sqsubset ⊐\sqsupset⊐ \sqsupset ⋈\Join⋈ \Join ∉\notin∈/ \notin
∫\int∫ \int ∬\iint∬ \iint ∭\iiint∭ \iiint ∰\oiiint∭​ \oiiint ∑\sum∑ \sum
∏\prod∏ \prod ∐\coprod∐ \coprod ⋀\bigwedge⋀ \bigwedge ⋁\bigvee⋁ \bigvee ⋂\bigcap⋂ \bigcap
⋃\bigcup⋃ \bigcup ⨀\bigodot⨀ \bigodot ⨁\bigoplus⨁ \bigoplus ⨂\bigotimes⨂ \bigotimes ⨄\biguplus⨄ \biguplus
\\backslash\ \backslash /// / ⋇\divideontimes⋇ \divideontimes ⋆\star⋆ \star ≀\wr≀ \wr
△\vartriangle△ \vartriangle ‡\ddag‡ \ddag ⋄\diamond⋄ \diamond †\dag† \dag ∧\wedge∧ \wedge
∨\vee∨ \vee ⊙\odot⊙ \odot ⊗\otimes⊗ \otimes ⊕\oplus⊕ \oplus ⊖\ominus⊖ \ominus
⋓\Cup⋓ \Cup ⋒\Cap⋒ \Cap ∔\dotplus∔ \dotplus ⊺\intercal⊺ \intercal ∵\because∵ \because
∴\therefore∴ \therefore ∽\backsim∽ \backsim ⊎\uplus⊎ \uplus ∝\propto∝ \propto ∯\oiint∬​ \oiint
∮\oint∮ \oint ⨆\bigsqcup⨆ \bigsqcup ⊢\vdash⊢ \vdash ⊣\dashv⊣ \dashv ⋈\bowtie⋈ \bowtie
⊑\sqsubseteq⊑ \sqsubseteq ⊒\sqsupseteq⊒ \sqsupseteq ⊨\models⊨ \models ∣\mid∣ \mid ∥\parallel∥ \parallel
⌣\smile⌣ \smile ⌢\frown⌢ \frown ≍\asymp≍ \asymp ::: : ±\pm± \pm
‵\backprime‵ \backprime ′\prime′ \prime ⌈⌉⌈⌉⌈⌉ ⌈⌉ ⌊⌋⌊⌋⌊⌋ ⌊⌋

希腊字母

α\alphaα \alpha β\betaβ \beta γ\gammaγ \gamma δ\deltaδ \delta ϕ\phiϕ \phi
ϵ\epsilonϵ \epsilon ζ\zetaζ \zeta η\etaη \eta θ\thetaθ \theta ι\iotaι \iota
κ\kappaκ \kappa λ\lambdaλ \lambda μ\muμ \mu ν\nuν \nu ξ\xiξ \xi
ρ\rhoρ \rho σ\sigmaσ \sigma τ\tauτ \tau υ\upsilonυ \upsilon φ\varphiφ \varphi
χ\chiχ \chi ω\omegaω \omega π\piπ \pi ψ\psiψ \psi ε\varepsilonε \varepsilon
ϑ\varthetaϑ \vartheta ooo o ϖ\varpiϖ \varpi ϱ\varrhoϱ \varrho ς\varsigmaς \varsigma
φ\varphiφ \varphi Ξ\XiΞ \Xi Γ\GammaΓ \Gamma Δ\DeltaΔ \Delta Λ\LambdaΛ \Lambda
Ω\OmegaΩ \Omega Φ\PhiΦ \Phi Ψ\PsiΨ \Psi Π\PiΠ \Pi Σ\SigmaΣ \Sigma
Θ\ThetaΘ \Theta Υ\UpsilonΥ \Upsilon

字母类符号

ℵ\alephℵ \aleph ℶ\bethℶ \beth ℸ\dalethℸ \daleth ℷ\gimelℷ \gimel ∂\partial∂ \partial
Ⅎ\FinvℲ \Finv ℜ\Reℜ \Re ℓ\ellℓ \ell ð\ethð \eth ℑ\Imℑ \Im
ℏ\hslashℏ \hslash ∁\complement∁ \complement ℘\wp℘ \wp ∀\forall∀ \forall

括号

((( ( ))) ) [[[ [ ]]] ] {\{{ \{
}\}} \} ∣\vert∣ \vert ∥\Vert∥ \Vert /// /

箭头

←\leftarrow← \leftarrow →\to→ \to →\rightarrow→ \rightarrow ↑\uparrow↑ \uparrow ↓\downarrow↓ \downarrow
⟵\longleftarrow⟵ \longleftarrow ⟶\longrightarrow⟶ \longrightarrow ⇐\Leftarrow⇐ \Leftarrow ⇒\Rightarrow⇒ \Rightarrow ↦\mapsto↦ \mapsto
↔\leftrightarrow↔ \leftrightarrow ↚\nleftarrow↚ \nleftarrow ↛\nrightarrow↛ \nrightarrow ⇀\rightharpoonup⇀ \rightharpoonup ↼\leftharpoonup↼ \leftharpoonup
↮\nleftrightarrow↮ \nleftrightarrow ⇔\Leftrightarrow⇔ \Leftrightarrow ⇎\nLeftrightarrow⇎ \nLeftrightarrow ⇍\nLeftarrow⇍ \nLeftarrow ⇏\nRightarrow⇏ \nRightarrow

几何学

∠\angle∠ \angle ∢\sphericalangle∢ \sphericalangle ∤\nmid∤ \nmid ∦\nparallel∦ \nparallel ■\blacksquare■ \blacksquare
⋆\star⋆ \star ∙\bullet∙ \bullet ★\bigstar★ \bigstar □\square□ \square ∘\circ∘ \circ

函数

Pr⁡\PrPr \Pr sin⁡\sinsin \sin cos⁡\coscos \cos exp⁡\expexp \exp det⁡\detdet \det
lim⁡\limlim \lim ln⁡\lnln \ln log⁡\loglog \log max⁡\maxmax \max min⁡\minmin \min
tan⁡\tantan \tan arg⁡\argarg \arg lg⁡\lglg \lg arcsin⁡\arcsinarcsin \arcsin cot⁡\cotcot \cot
sh⁡\shsh \sh

强调符号

a˙\dot{a}a˙ \dot{a} a¨\ddot{a}a¨ \ddot{a} a^\hat{a}a^ \hat{a} a~\tilde{a}a~ \tilde{a} aˉ\bar{a}aˉ \bar{a}
a⃗\vec{a}a \vec{a} xyz‾\overline{xyz}xyz​ \overline{xyz} xyz^\widehat{xyz}xyz​ \widehat{xyz} xyz~\widetilde{xyz}xyz​ \widetilde{xyz} aˇ\check{a}aˇ \check{a}
aˊ\acute{a}aˊ \acute{a} aˋ\grave{a}aˋ \grave{a} a˘\breve{a}a˘ \breve{a}

空白符号

aba\qquad{b}ab a\qquad{b} aba\quad{b}ab a\quad{b} aba \ ba b a \ b aba \; bab a\ ; b aba \, bab a \, b
aba bab a b a⁣ba \! bab a \! b

省略符号

⋯\cdots⋯ \cdots …\ldots… \ldots ⋮\vdots⋮ \vdots ⋱\ddots⋱ \ddots

数值编号

Ⅰ Ⅱ Ⅲ Ⅳ Ⅴ Ⅵ Ⅶ Ⅷ Ⅸ Ⅹ Ⅺ Ⅻ
① ② ③ ④ ⑤ ⑥ ⑦ ⑧ ⑨ ⑩
⑴ ⑵ ⑶ ⑷ ⑸ ⑹ ⑺ ⑻ ⑼ ⑽
㈠ ㈡ ㈢ ㈣ ㈤ ㈥ ㈦ ㈧ ㈨ ㈩

分式

基本格式:
\frac{分子}{分母} → 分子分母\frac{分子}{分母}分母分子​

样例:
dydx\frac{dy}{dx}dxdy​ ← \frac{dy}{dx}

∂y∂x\frac{\partial{y}}{\partial{x}}∂x∂y​ ← \frac{\partial{y}}{\partial{x}}

上下标

基本格式:
anytext_{downtext}^{uptext} → anytextdowntextuptextanytext_{downtext}^{uptext}anytextdowntextuptext​

也可以颠倒过来:anytext^{uptext}\_{downtext}

还可以只加一种:anytext_{downtext} 或 anytext^{uptext}

样例:

x2x^{2}x2 ← x^{2}

H2OH_{2}OH2​O ← H_{2}O

根式

基本格式:
\sqrt[开根幂次数]{被开根数} → 被开根数开根幂次数\sqrt[开根幂次数]{被开根数}开根幂次数被开根数​

样例:

2\sqrt{2}2​ ← \sqrt{2}

23\sqrt[3]{2}32​ ← \sqrt[3]{2}

3n\sqrt[n]{3}n3​ ← \sqrt[n]{3}

积分

基本格式:
\int_{积分下限}^{积分上限} → ∫积分下限积分上限\int_{积分下限}^{积分上限}∫积分下限积分上限​

也可以颠倒过来:\int^{积分上限}_{积分下限}

样例:
\int^{3}_{8}x^3dx → ∫83x3dx\int^{3}_{8}x^3dx∫83​x3dx

求积

基本格式:
\prod_{downtext}^{uptext}{text} → ∏downtextuptexttext\prod_{downtext}^{uptext}{text}∏downtextuptext​text

样例:
\prod_{k=1}^{n}f(k) → ∏k=1nf(k)\prod_{k=1}^{n}f(k)∏k=1n​f(k)

要想把上下标放到求和/求积符号上方和下方,则格式为:
\prod\limits_{k=1}^{n}f(k) → ∏k=1nf(k)\prod\limits_{k=1}^{n}f(k)k=1∏n​f(k)

求和

\sum\limits_{downtext}^{uptext}{text} → ∑downtextuptexttext\sum\limits_{downtext}^{uptext}{text}downtext∑uptext​text

\sum\limits_{i=1}^{n}{f(i)} → ∑i=1nf(i)\sum\limits_{i=1}^{n}{f(i)}i=1∑n​f(i)

极限

\lim\limits_{x\to{0}}{\frac{\sin{x}}{x}}=1 → lim⁡x→0sin⁡xx=1\lim\limits_{x\to{0}}{\frac{\sin{x}}{x}}=1x→0lim​xsinx​=1

数列

A=\{a_{1},a_{2},\ldots,a_{n}\} → A={a1,a2,…,an}A=\{a_{1},a_{2},\ldots,a_{n}\}A={a1​,a2​,…,an​}

矩阵

\begin{matrix} 0 & 1 \\ 1 & 0 \end{matrix} → 0110\begin{matrix} 0 & 1 \\ 1 & 0 \end{matrix}01​10​

\begin{pmatrix} 0 & -i \\ i & 0 \end{pmatrix} → (0−ii0)\begin{pmatrix} 0 & -i \\ i & 0 \end{pmatrix}(0i​−i0​)

\begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix} → [0−110]\begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix}[01​−10​]

\begin{Bmatrix} 1 & 0 \\ 0 & -1 \end{Bmatrix} → {100−1}\begin{Bmatrix} 1 & 0 \\ 0 & -1 \end{Bmatrix}{10​0−1​}

\begin{bmatrix} 1 & 1 & \ldots & 1 \\ 2 & 2^{2} & \ldots & 2^{n} \\ 3 & 3^{2} & \ldots & 3^{n} \\ \vdots & \vdots & \ddots & \vdots \\ n & n^{2} & \ldots & n^{n} \end{bmatrix} → [11…1222…2n332…3n⋮⋮⋱⋮nn2…nn]\begin{bmatrix} 1 & 1 & \ldots & 1 \\ 2 & 2^{2} & \ldots & 2^{n} \\ 3 & 3^{2} & \ldots & 3^{n} \\ \vdots & \vdots & \ddots & \vdots \\ n & n^{2} & \ldots & n^{n} \end{bmatrix}​123⋮n​12232⋮n2​………⋱…​12n3n⋮nn​​

行列式

\begin{vmatrix} a & b \\ c & d \end{vmatrix} → ∣abcd∣\begin{vmatrix} a & b \\ c & d \end{vmatrix}​ac​bd​​

\begin{Vmatrix} i & 0 \\ 0 & -i \end{Vmatrix} → ∥i00−i∥\begin{Vmatrix} i & 0 \\ 0 & -i \end{Vmatrix}​i0​0−i​​

排列组合

\binom{a}{b}或\tbinom{a}{b} → (ab)\binom{a}{b}(ba​)

\dbinom{a}{b} → (ab)\dbinom{a}{b}(ba​)

C_{3}^{1} → C31C_{3}^{1}C31​

A_{3}^{1} → A31A_{3}^{1}A31​

分段函数

\Psi_{A}(x)=\begin{cases}1, & x\in{A} \\ 0, & x\notin{A} \end{cases} → ΨA(x)={1,x∈A0,x∉A\Psi_{A}(x)=\begin{cases}1, & x\in{A} \\ 0, & x\notin{A} \end{cases}ΨA​(x)={1,0,​x∈Ax∈/A​

化学方程式

C+O_{2}\stackrel{点燃}{\longrightarrow}{CO_{2}} → C+O2⟶点燃CO2C+O_{2}\stackrel{点燃}{\longrightarrow}{CO_{2}}C+O2​⟶点燃​CO2​

文本着色

\textcolor{red}{a+b=c} → a+b=c\textcolor{red}{a+b=c}a+b=c

文本加粗

不加粗:A → AAA

加粗:\textbf{A} → A\textbf{A}A

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