latex常用符号
文章目錄
- 0.常用公式
- 1.希臘字母
- 2.數學相關
- 3.分割符號
- 4.可變公式
- 5.數學函數
- 6.運算符號
- 7.其它符號
- 8.箭頭合集
- 9.帽子標記
- 10.數學樣式
- 11.大小顏色
- 13.多行公式
- 14.間距微調
顯示latex格式的公式需要加美元號 $,例如 $\beta$顯示的結果為 β\betaβ,如果單獨一行的公式可用雙美元符號,例如 $$a+b=c$$會單獨成行
a+b=ca+b=c a+b=c
0.常用公式
| x=?b?b2?4ac2ax=\frac{-b\mp\sqrt{b^2-4ac}}{2a}x=2a?b?b2?4ac?? | x=\frac{-b\mp\sqrt{b^2-4ac}}{2a} |
| x=?b±b2?4ac2ax=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}x=2a?b±b2?4ac?? | x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a} |
| n!=1×2×3?×nn! = 1\times2\times3\cdots\times nn!=1×2×3?×n | n! = 1\times2\times3\cdots\times n |
| ∮f(s)ds\oint f(s)\mathrmozvdkddzhkzds∮f(s)ds | \oint f(s)\mathrmozvdkddzhkzdr |
| ∮f(s)ds\displaystyle\oint f(s)\mathrmozvdkddzhkzds∮f(s)ds | \displaystyle\oint f(s)\mathrmozvdkddzhkzds |
| ∫?1+∞f(x)dx\displaystyle\int_{-1}^{+\infty} f(x)\mathrmozvdkddzhkzdx∫?1+∞?f(x)dx | \displaystyle\int_{-1}^{+\infty} f(x)\mathrmozvdkddzhkzdx |
| ?f(x)dx\displaystyle\iint f(\bm x)\mathrmozvdkddzhkzd\bm x?f(x)dx | \displaystyle\iint f(\bm x)\mathrmozvdkddzhkzd\bm x |
| ∥∑i=1p+1∥\left\|\sum_{i=1}^{p+1} \right\|∥∥∥?∑i=1p+1?∥∥∥? | \left\|\sum_{i=1}^{p+1}\right\| |
| ∥∑i=1p+1∥\left\|\displaystyle\sum_{i=1}^{p+1} \right\|∥∥∥∥∥?i=1∑p+1?∥∥∥∥∥? | \left\|\displaystyle\sum_{i=1}^{p+1} \right\| |
| ∥∑i=1p+1∥\Big\Vert\displaystyle\sum_{i=1}^{p+1}\bigg\Vert∥∥∥?i=1∑p+1?∥∥∥∥? | \Big\Vert\displaystyle\sum_{i=1}^{p+1}\bigg\Vert |
| ???u=Δu\nabla\cdot\nabla u = \Delta u???u=Δu | \nabla\cdot\nabla u = \Delta u |
| (a+ba+b+c){a+b \choose a+b+c}(a+b+ca+b?) | {a+b \choose a+b+c} |
| (a+b+ca+b)\left({}_{a+b+c}^{a+b}\right)(a+b+ca+b?) | \left({}_{a+b+c}^{a+b}\right) |
| a+ba+b+c{a+b \atop a+b+c}a+b+ca+b? | {a+b \atop a+b+c} |
| Ca+b+ca+bC_{a+b+c}^{a+b}Ca+b+ca+b? | C_{a+b+c}^{a+b} |
| min?x∈Rf(x)\min\limits^{x\in\mathcal{R}}f(x)minx∈Rf(x) | \min\limits^{x\in\mathcal{R}}f(x) |
| max?x∈Rf(x)\max\limits_{x\in\mathcal{R}}f(x)x∈Rmax?f(x) | \max\limits_{x\in\mathcal{R}}f(x) |
dudt=?u?x?x?t+?u?y?y?t\dfrac{\mathrmozvdkddzhkzdu}{\mathrmozvdkddzhkzdt}=\dfrac{\partial u}{\partial x}\dfrac{\partial x}{\partial t} + \dfrac{\partial u}{\partial y}\dfrac{\partial y}{\partial t}dtdu?=?x?u??t?x?+?y?u??t?y?
\dfrac{\mathrm{d}u}{\mathrm{d}t} = \dfrac{\partial u}{\partial x}\dfrac{\partial x}{\partial t} + \dfrac{\partial u}{\partial y}\dfrac{\partial y}{\partial t}1.希臘字母
| α\alphaα | \alpha | θ\thetaθ | \theta | ooo | o | τ\tauτ | \tau | |||
| β\betaβ | \beta | ?\vartheta? | \vartheta | π\piπ | \pi | υ\upsilonυ | \upsilon | |||
| γ\gammaγ | \gamma | ι\iotaι | \iota | ?\varpi? | \varpi | ?\phi? | \phi | |||
| δ\deltaδ | \delta | κ\kappaκ | \kappa | ρ\rhoρ | \rho | φ\varphiφ | \varphi | |||
| ?\epsilon? | \epsilon | λ\lambdaλ | \lambda | ?\varrho? | \varrho | χ\chiχ | \chi | |||
| ε\varepsilonε | \varepsilon | μ\muμ | \mu | σ\sigmaσ | \sigma | ψ\psiψ | \psi | |||
| ζ\zetaζ | \zeta | ν\nuν | \nu | ?\varsigma? | \varsigma | ω\omegaω | \omega | |||
| η\etaη | \eta | ζ\zetaζ | \zeta | |||||||
| Γ\GammaΓ | \Gamma | Λ\LambdaΛ | \Lambda | Σ\SigmaΣ | \Sigma | Ψ\PsiΨ | \Psi | |||
| Δ\DeltaΔ | \Delta | Ξ\XiΞ | \Xi | Υ\UpsilonΥ | \Upsilon | Ω\OmegaΩ | \Omega | |||
| Θ\ThetaΘ | \Theta | Π\PiΠ | \Pi | Φ\PhiΦ | \Phi | |||||
| ?\aleph? | \aleph | ?\beth? | \beth | ?\daleth? | \daleth | ?\gimel? | \gimel |
2.數學相關
| abcxyz\dfrac{abc}{xyz}xyzabc? | \dfrac{abc}{xyz} | abcxyz\frac{abc}{xyz}xyzabc? | \frac{abc}{xyz} | abc ̄\overline{abc}abc | \overline{abc} | ||
| abc\sqrt{abc}abc? | \sqrt{abc} | abcn\sqrt[n]{abc}nabc? | \sqrt[n]{abc} | abc ̄\underline{abc}abc? | \underline{abc} | ||
| abc^\widehat{abc}abc | \widehat{abc} | abc~\widetilde{abc}abc | \widetilde{abc} | abc→\overrightarrow{abc}abc | \overrightarrow{abc} | ||
| abc←\overleftarrow{abc}abc | \overleftarrow{abc} | abc?\overbrace{abc}abc | \overbrace{abc} | abc?\underbrace{abc}abc? | \underbrace{abc} | ||
| ab?\overset{\frown} {ab}ab? | \overset{\frown}{ab} | AB?\overgroup{AB}AB | \overparen{ab} |
注:頭頂的弧蓋\overparen{ab}用于LaTeX\LaTeXLATE?X, AB?\overgroup{AB}AB用于KaTeX\KaTeXKATE?X
3.分割符號
| ∣\vert∣ | \vert | ?\langle? | \langle | ?\lfloor? | \lfoolr | ?\lceil? | \lceil | |||
| ∥\Vert∥ | \Vert | ?\rangle? | \rangle | ?\rfloor? | \rfloor | ?\rceil? | \rceil | |||
| ?\Uparrow? | \Uparrow | ↑\uparrow↑ | \uparrow | ?\Downarrow? | \Downarrow | ↓\downarrow↓ | \downarrow | |||
| └\llcorner└ | \llcorner | ┘\lrcorner┘ | \lrcorner | ┌\ulcorner┌ | \ulcorner | ┐\urcorner┐ | \urcorner | |||
| /// | / | \\backslash\ | \backslash |
4.可變公式
| ∑\sum∑ | \sum | ∏\prod∏ | \prod | ?\coprod? | \coprod | ||
| ∫\int∫ | \int | ∮\oint∮ | \ont | ?\iint? | \iint | ||
| ?\biguplus? | \biguplus | ?\bigcap? | \bigcap | ?\bigcup? | \bigcup | ||
| ?\bigoplus? | \bigoplus | ?\bigotimes? | \bigotimes | ?\bigodot? | \bigodot | ||
| ?\bigvee? | \bigvee | ?\bigwedge? | \bigwedge | ?\bigsqcup? | \bigsqcup |
5.數學函數
只需要在常用數學函數前加上斜杠\即可
$\sin, \cos, \tan, \exp, \min, \max, \log, \ln, \lim, \cdots$
sin?,cos?,tan?,exp?,min?,max?,log?,ln?,lim?,?\sin, \cos, \tan, \exp, \min, \max, \log, \ln, \lim, \cdotssin,cos,tan,exp,min,max,log,ln,lim,?
6.運算符號
| +++ | + | ?-? | - | ×\times× | \times | ÷\div÷ | \div | |||
| ?\ast? | \ast | ?\star? | \star | ?\cdot? | \cdot | °\circ° | \circ | |||
| ±\pm± | \pm | ?\mp? | \mp | ⊕\oplus⊕ | \oplus | ?\otimes? | \otimes | |||
| ?\divideontimes? | \divideontimes | ?\centerdot? | \centerdot | ⊙\odot⊙ | \odot | ?\circledcirc? | \circledcirc | |||
| ∩\cap∩ | \cap | ∪\cup∪ | \cup | ∨\vee∨ | \vee | ∧\wedge∧ | \wedge | |||
| ⊥\bot⊥ | \bot | ⊥\perp⊥ | \perp | ?\setminus? | \setminus | \\backslash\ | \backslash | |||
| □\Box□ | \Box | □\square□ | \square | ?\wr? | \wr | ?\boxplus? | \boxplus | |||
| △\triangle△ | \triangle | ▽\bigtriangledown▽ | \bigtriangledown | Δ\DeltaΔ | \Delta | ?\nabla? | \nabla | |||
| ≡\equiv≡ | \equiv | ≠\neq?= | \neq | ~\sim~ | \sim | ≈\approx≈ | \approx | |||
| ?\triangleq? | \triangleq | ∝\varpropto∝ | \varpropto | ?\ll? | \ll | ?\lll? | \lll | |||
| ≤\leq≤ | \leq | ≥\geq≥ | \geq | ?\leqslant? | \leqslant | ?\geqslant? | \geqslant | |||
| ∈\in∈ | \in | ?\notin∈/? | \notin | ?\prec? | \prec | ?\succ? | \succ | |||
| ?\subset? | \subset | ?\subseteq? | \subseteq | ?\supset? | \supset | ?\supseteq? | \supseteq | |||
| ?\supseteqq? | \nsubseteq | ?\subseteqq? | \nsubseteqq | ?\nsubseteq? | \nsubseteq | ?\nsubseteqq | \nsubseteqq | |||
| ?\subsetneq? | \nsubseteq | ?\subsetneqq? | \nsubsetneqq | ?\supsetneq? | \nsupseteq | ?\supsetneqq? | \nsupsetneqq | |||
| ?\complement? | \complement |
7.其它符號
| ∵\because∵ | \because | ∴\therefore∴ | \therefore | ////// | // | ⊥\perp⊥ | \perp | |||
| △\triangle△ | \triangle | □\square□ | \square | ?\text{?}? | \text{?} | =//{}_{=}^{//}=//? | {}_{=}^{//} | |||
| ∞\infty∞ | \infty | ∠\angle∠ | \angle | ?\measuredangle? | \measuredangle | ?\sphericalangle? | \sphericalangle | |||
| ?\forall? | \foall | ?\exist? | \exist | ?\varnothing? | \varnothing | ?\emptyset? | \emptyset | |||
| ?\partial? | \partial | ′\prime′ | \prime | ?\hbar? | \hbar | √\surd√ | \surd | |||
| ?\cdots? | \cdots | ?\vdots? | \vdots | …\ldots… | \ldots | ?\ddots? | \ddots | |||
| ?\Im? | \Im | ?\Re? | \Re | ?\lozenge? | \lozenge | ?\mho? | \mho | |||
| ?\spadesuit? | \spadesuit | ?\heartsuit? | \heartsuit | ?\clubsuit? | \clubsuit | ?\diamondsuit? | \diamondsuit | |||
| ?\copyrightc? | \copyright | ?\circledS? | \circledS | ?\circledR? | \circledR | £\pounds£ | \pounds | |||
| $ | \$ | %\%% | \% | #\## | \# | ~ | \~{} | |||
| ?\imath? | \imath | ?\jmath? | \jmath | ?\ell? | \ell |
注1:平行四邊形符號?并不是內置的latex符號而是特殊字符
注2://////與=//{}_{=}^{//}=//?是組合生成,并非內置
8.箭頭合集
| →\rightarrow→ | \rightarrow | ?\longrightarrow? | \longrightarrow | ?\Rightarrow? | \Rightarrow |
| ?\Longrightarrow? | \Longrightarrow | ←\leftarrow← | \leftarrow | ?\longleftarrow? | \longleftarrow |
| ?\Leftarrow? | \Leftarrow | ?\Longleftarrow? | \Longleftarrow | ↗\nearrow↗ | \nearrow |
| ↘\searrow↘ | \searrow | ↙\swarrow↙ | \swarrow | ↖\nwarrow↖ | \nwarrow |
| ?\mapsto? | \mapsto | ?\longmapsto? | \longmapsto | ?\rightsquigarrow? | \rightsquigarrow |
| ?\rightrightarrows? | \rightrightarrows | ?\leftrightarrow? | \leftrightarrow | ?\longleftrightarrow? | \longleftrightarrow |
| ?\Leftrightarrow? | \Leftrightarrow | ?\Longleftrightarrow? | \Longleftrightarrow | ?\rightleftharpoons? | \rightleftharpoons |
| ?\leftrightarrows? | \leftrightarrows | ?\leftrightharpoons? | \leftrightharpoons | ?\rightleftarrows? | \rightleftarrows |
| ?\circlearrowleft? | \circlearrowleft | ?\circlearrowright? | \circlearrowright | ?\nLeftarrow? | \nLeftarrow |
| ?\nRightarrow? | \nRightarrow | ?\nLeftrightarrow? | \nLeftrightarrow | ?\leftrightsquigarrow? | \leftrightsquigarrow |
| ?\dashrightarrow? | \dashrightarrow | ?\dashleftarrow? | \dashleftarrow |
9.帽子標記
| aˉ\bar{a}aˉ | \bar{a} | aˊ\acute{a}aˊ | \acute{a} | aˇ\check{a}aˇ | \check{a} | aˋ\grave{a}aˋ | \grave{a} | |||
| a˙\dot{a}a˙ | \dot{a} | a^\hat{a}a^ | \hat{a} | a?\breve{a}a? | \breve{a} | a?\vec{a}a | \vec{a} | |||
| a¨\ddot{a}a¨ | \ddot{a} | a~\tilde{a}a~ | \tilde{a} |
10.數學樣式
\mathcal{A}
ABCDEFGHIJKLMNOPQRSTUVWXYZ\mathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ}ABCDEFGHIJKLMNOPQRSTUVWXYZ
\mathbb{A}
ABCDEFGHIJKLMNOPQRSTUVWXYZ\mathbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ}ABCDEFGHIJKLMNOPQRSTUVWXYZ
\mathfrak{A}
ABCDEFGHIJKLMNOPQRSTUVWXYZ\mathfrak{ABCDEFGHIJKLMNOPQRSTUVWXYZ}ABCDEFGHIJKLMNOPQRSTUVWXYZ
\mathsf{A}
ABCDEFGHIJKLMNOPQRSTUVWXYZ\mathsf{ABCDEFGHIJKLMNOPQRSTUVWXYZ}ABCDEFGHIJKLMNOPQRSTUVWXYZ
\mathscr{A}
ABCDEFGHIJKLMNOPQRSTUVWXYZ\mathscr{ABCDEFGHIJKLMNOPQRSTUVWXYZ}ABCDEFGHIJKLMNOPQRSTUVWXYZ
\mathrm{A}
ABCDEFGHIJKLMNOPQRSTUVWXYZ\mathrm{ABCDEFGHIJKLMNOPQRSTUVWXYZ}ABCDEFGHIJKLMNOPQRSTUVWXYZ
\mathit{A}
ABCDEFGHIJKLMNOPQRSTUVWXYZ\mathit{ABCDEFGHIJKLMNOPQRSTUVWXYZ}ABCDEFGHIJKLMNOPQRSTUVWXYZ
\mathnormal{A}
ABCDEFGHIJKLMNOPQRSTUVWXYZ\mathnormal{ABCDEFGHIJKLMNOPQRSTUVWXYZ}ABCDEFGHIJKLMNOPQRSTUVWXYZ
\mathbf{A}
ABCDEFGHIJKLMNOPQRSTUVWXYZ\mathbf{ABCDEFGHIJKLMNOPQRSTUVWXYZ}ABCDEFGHIJKLMNOPQRSTUVWXYZ
\textbf{A} 文本樣式粗體
ABCDEFGHIJKLMNOPQRSTUVWXYZ\textbf{ABCDEFGHIJKLMNOPQRSTUVWXYZ}ABCDEFGHIJKLMNOPQRSTUVWXYZ
\text{A} 文本樣式
ABCDEFGHIJKLMNOPQRSTUVWXYZ\text{ABCDEFGHIJKLMNOPQRSTUVWXYZ}ABCDEFGHIJKLMNOPQRSTUVWXYZ
\bm{A}
ABCDEFGHIJKLMNOPQRSTUVWXYZ\bm{ABCDEFGHIJKLMNOPQRSTUVWXYZ}ABCDEFGHIJKLMNOPQRSTUVWXYZ
\boldsymbol{A}
ABCDEFGHIJKLMNOPQRSTUVWXYZ\boldsymbol{ABCDEFGHIJKLMNOPQRSTUVWXYZ}ABCDEFGHIJKLMNOPQRSTUVWXYZ
11.大小顏色
| 123456789{\color{red}123} {\color{blue}456} {\color{green}789}123456789 | {\color{red}123} {\color{blue}456} {\color{green}789} |
| abc\tiny{abc}abc | \tiny{abc} |
| abc\scriptsize{abc}abc | \scriptsize{abc} |
| abc\footnotesize{abc}abc | \footnotesize{abc} |
| abc\small{abc}abc | \small{abc} |
| abc\normalsize{abc}abc | \normalsize{abc} |
| abc\large{abc}abc | \large{abc} |
| abc\Large{abc}abc | \Large{abc} |
| abc\LARGE{abc}abc | \LARGE{abc} |
| abc\huge{abc}abc | \huge{abc} |
| abc\Huge{abc}abc | \Huge{abc} |
| [(([(\left[ \Bigg( \bigg( \Big[ \big( \right.[(([( | \left[ \Bigg( \bigg( \Big[ \big( \right. |
| [{}}]\left[ \bigg\{ \Big\}\big\} \right][{}}] | \left[ \bigg\{ \Big\}\big\} \right] |
注:\left與\right成對出現,缺省可用.補充,它會自動設置大小
13.多行公式
多行公式常用的兩環境有cases與aligned
{x+y=1x?y=1,∫?∞+∞f(x)dx∑k=0nk\begin{cases} x+y=1\\ x-y=1 \end{cases}, \qquad % %后面是接注釋,\qquaa表示空格 \begin{aligned} &\int_{-\infty}^{+\infty}f(x)\mathrmozvdkddzhkzdx\\[.8em] &\sum_{k=0}^n k \end{aligned}{x+y=1x?y=1?,?∫?∞+∞?f(x)dxk=0∑n?k?
\begin{cases} x+y=1\\ x-y=1 \end{cases}, \qquad % %后面是接注釋,\qquaa表示空格 \begin{aligned} &\int_{-\infty}^{+\infty}f(x)\mathrm{d}x\\[.5em] &\sum_{k=0}^n k \end{aligned} % &字符號表示對齊,\\另起一行, \\[.5em]里面的.5表示行高矩陣格式
(123456789),∣abcd∣,abcdef\left(\begin{matrix} 1&2&3\\ 4&5&6\\ 7&8&9 \end{matrix}\right) ,\qquad \left| \begin{matrix} a&b\\ c&d \end{matrix}\right| ,\qquad \begin{matrix} a&b\\ c&d \\ e&f \end{matrix}???147?258?369????,∣∣∣∣?ac?bd?∣∣∣∣?,ace?bdf?
\left(\begin{matrix} 1&2&3\\ 4&5&6\\ 7&8&9 \end{matrix}\right) ,\qquad \left| \begin{matrix} a&b\\ c&d \end{matrix}\right| ,\qquad \begin{matrix} a&b\\ c&d \\ e&f \end{matrix}14.間距微調
間距緊湊:\!
| x+yx+yx+y | x+y |
| x?+yx\!+yx+y | x\!+y |
| x???+yx\!\!+yx+y | x\!\!+y |
間距拉開:\, \; \quad \qquad
| x+yx+yx+y | x+y |
| x+yx+\,yx+y | x+\,y |
| x+yx+\;yx+y | x+\;y |
| x+yx+\quad yx+y | x+\quad y |
| x+yx+\qquad yx+y | x+\qquad y |
本文參考https://katex.org/docs/supported.html
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