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LaTeX数学符号大全
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本篇博文介紹一些常用的LaTeX符號,方便使用時查詢。
文章目錄
- 1.操作符
- 2.關系符
- 3.希臘字母
- 4.箭頭
- 5.點
- 6.上標
- 7.其他
- 8.命令符
- 9.跨行或跨列的符號:
- 換行符號 ' \\\\' 與空格符號'\quad'
1.操作符
SymbolCommandSymbolCommandSymbolCommand
| ±\pm± | \pm | ?\mp? | \mp | ×\times× | \times |
| ÷\div÷ | \div | ?\cdot? | \cdot | ?\ast? | \ast |
| ?\star? | \star | ?\dagger? | \dagger | ?\ddagger? | \ddagger |
| ?\amalg? | \amalg | ∩\cap∩ | \cap | ∪\cup∪ | \cup |
| ?\uplus? | \uplus | ?\sqcap? | \sqcap | ?\sqcup? | \sqcup |
| ∨\vee∨ | \vee | ∧\wedge∧ | \wedge | ⊕\oplus⊕ | \oplus |
| ?\ominus? | \ominus | ?\otimes? | \otimes | °\circ° | \circ |
| ?\bullet? | \bullet | ?\diamond? | \diamond | ?\lhd? | \lhd |
| ?\rhd? | \rhd | ?\unlhd? | \unlhd | ?\unrhd? | \unrhd |
| ?\oslash? | \oslash | ⊙\odot⊙ | \odot | ?\bigcirc? | \bigcirc |
| ?\triangleleft? | \triangleleft | ?\Diamond? | \Diamond | △\bigtriangleup△ | \bigtriangleup |
| ▽\bigtriangledown▽ | \bigtriangledown | □\Box□ | \Box | ?\triangleright? | \triangleright |
| $\setminus $ | \setminus | ?\wr? | \wr | x\sqrt{x}x? | \sqrt{x} |
| x°x^{\circ}x° | x^{\circ} | ▽\triangledown▽ | \triangledown | xn\sqrt[n]{x}nx? | \sqrt[n]{x} |
| axa^xax | a^x | axyza^{xyz}axyz | a^{xyz} | | |
2.關系符
SymbolCommandSymbolCommandSymbolCommand
| ≤\le≤ | \le | ≥\ge≥ | \ge | ≠\neq?= | \neq |
| ~\sim~ | \sim | ?\ll? | \ll | ?\gg? | \gg |
| ?\doteq? | \doteq | ?\simeq? | \simeq | ?\subset? | \subset |
| ?\supset? | \supset | ≈\approx≈ | \approx | ?\asymp? | \asymp |
| ?\subseteq? | \subseteq | ?\supseteq? | \supseteq | ?\cong? | \cong |
| ?\smile? | \smile | ?\sqsubset? | \sqsubset | ?\sqsupset? | \sqsupset |
| ≡\equiv≡ | \equiv | ?\frown? | \frown | ?\sqsubseteq? | \sqsubseteq |
| ?\sqsupseteq? | \sqsupseteq | ∝\propto∝ | \propto | ?\bowtie? | \bowtie |
| ∈\in∈ | \in | ?\ni? | \ni | ?\prec? | \prec |
| ?\succ? | \succ | ?\vdash? | \vdash | ?\dashv? | \dashv |
| ?\preceq? | \preceq | ?\succeq? | \succeq | ?\models? | \models |
| ⊥\perp⊥ | \perp | ∥\parallel∥ | \parallel | | |
| ∣\mid∣ | \mid | ?\bumpeq? | \bumpeq | \ | |
只要將not放在符號前面或者在 \ 和單詞之間插入一個 n ,就可以形成許多這些關系的否定形式,這里有一些例子,加上一些其他的否定,它也適用于許多其他的。
SymbolCommandSymbolCommandSymbolCommand
| ?\nmid? | \nmid | ?\nleq? | \nleq | ?\ngeq? | \ngeq |
| ?\nsim? | \nsim | ?\ncong? | \ncong | ?\nparallel? | \nparallel |
| <?\not<?< | \not< | >?\not>?> | \not> | =?\not=?= | \not= or \neq |
| ≤?\not\le?≤ | \not\le | ≥?\not\ge?≥ | \not\ge | ~?\not\sim?~ | \not\sim |
| ≈?\not \approx?≈ | \not\approx | ??\not\cong?? | \not\cong | ≡?\not\equiv?≡ | \not\equiv |
| ∥?\not\parallel?∥ | \not\parallel | ≮\nless≮ | \nless | ≯\ngtr≯ | \ngtr |
| ?\lneq? | \lneq | ?\gneq? | \gneq | ?\lnsim? | \lnsim |
| ?\lneqq? | \lneqq | ?\gneqq? | \gneqq | | |
3.希臘字母
小寫
SymbolCommandSymbolCommandSymbolCommandSymbolCommand
| α\alphaα | \alpha | β\betaβ | \beta | γ\gammaγ | \gamma | δ\deltaδ | \delta |
| ?\epsilon? | \epsilon | ε\varepsilonε | \varepsilon | ζ\zetaζ | \zeta | η\etaη | \eta |
| θ\thetaθ | \theta | ?\vartheta? | \vartheta | ι\iotaι | \iota | κ\kappaκ | \kappa |
| λ\lambdaλ | \lambda | μ\muμ | \mu | ν\nuν | \nu | ξ\xiξ | \xi |
| π\piπ | \pi | ?\varpi? | \varpi | ρ\rhoρ | \rho | ?\varrho? | \varrho |
| σ\sigmaσ | \sigma | ?\varsigma? | \varsigma | τ\tauτ | \tau | υ\upsilonυ | \upsilon |
| ?\phi? | \phi | φ\varphiφ | \varphi | χ\chiχ | \chi | ψ\psiψ | \psi |
| ω\omegaω | \omega | | | | | | |
大寫
SymbolCommandSymbolCommandSymbolCommandSymbolCommand
| Γ\GammaΓ | \Gamma | Δ\DeltaΔ | \Delta | Θ\ThetaΘ | \Theta | Λ\LambdaΛ | \Lambda |
| Ξ\XiΞ | \Xi | Π\PiΠ | \Pi | Σ\SigmaΣ | \Sigma | Υ\UpsilonΥ | \Upsilon |
| Φ\PhiΦ | \Phi | Ψ\PsiΨ | \Psi | Ω\OmegaΩ | \Omega | ?\nabla? | \nabla |
加粗
在公式中的字母加粗:
SymbolCommand
| m\bold mm | $ \bold m $ |
空心字母
SymbolCommand
| M\mathbb{M}M | $ \mathbb{M} $ |
| R\mathbb{R}R | $ \mathbb{R} $ |
4.箭頭
SymbolCommandSymbolCommand
| ←\gets← | \gets | →\to→ | \to |
| ←\leftarrow← | \leftarrow | ?\Leftarrow? | \Leftarrow |
| →\rightarrow→ | \rightarrow | ?\Rightarrow? | \Rightarrow |
| ?\leftrightarrow? | \leftrightarrow | ?\Leftrightarrow? | \Leftrightarrow |
| ?\mapsto? | \mapsto | ?\hookleftarrow? | \hookleftarrow |
| ?\leftharpoonup? | \leftharpoonup | ?\leftharpoondown? | \leftharpoondown |
| ?\rightleftharpoons? | \rightleftharpoons | ?\longleftarrow? | \longleftarrow |
| ?\Longleftarrow? | \Longleftarrow | ?\longrightarrow? | \longrightarrow |
| ?\Longrightarrow? | \Longrightarrow | ?\longleftrightarrow? | \longleftrightarrow |
| ?\Longleftrightarrow? | \Longleftrightarrow | ?\longmapsto? | \longmapsto |
| ?\hookrightarrow? | \hookrightarrow | ?\rightharpoonup? | \rightharpoonup |
| ?\rightharpoondown? | \rightharpoondown | ?\leadsto? | \leadsto |
| ↑\uparrow↑ | \uparrow | ?\Uparrow? | \Uparrow |
| ↓\downarrow↓ | \downarrow | ?\Downarrow? | \Downarrow |
| ?\updownarrow? | \updownarrow | ?\Updownarrow? | \Updownarrow |
| ↗\nearrow↗ | \nearrow | ↘\searrow↘ | \searrow |
| ↙\swarrow↙ | \swarrow | ↖\nwarrow↖ | \nwarrow |
(對于不喜歡鍵入長串字母的人,\iff和\implies可以分別替代\Longleftrightarrow和\ longrighttarrow)
5.點
SymbolCommandSymbolCommand
| ?\cdot? | \cdot | ?\vdots? | \vdots |
| …\dots… | \dots | ?\ddots? | \ddots |
| ?\cdots? | \cdots | KaTeX parse error: Undefined control sequence: \iddots at position 1: \?i?d?d?o?t?s? | \iddots |
6.上標
SymbolCommandSymbolCommandSymbolCommand
| x^\hat{x}x^ | \hat{x} | xˇ\check{x}xˇ | \check{x} | x˙\dot{x}x˙ | \dot{x} |
| x?\breve{x}x? | \breve{x} | xˊ\acute{x}xˊ | \acute{x} | x¨\ddot{x}x¨ | \ddot{x} |
| xˋ\grave{x}xˋ | \grave{x} | x~\tilde{x}x~ | \tilde{x} | x?\mathring{x}x? | \mathring{x} |
| xˉ\bar{x}xˉ | \bar{x} | x?\vec{x}x | \vec{x} | | |
當對i和j應用上標時,可以使用\imath和\jmath來防止點干擾上標:
SymbolCommandSymbolCommand
| ??\vec{\jmath}?? | \vec{\jmath} | ?~\tilde{\imath}?~ | \tilde{\imath} |
\tilde和\hat有很寬的版本,可以讓你強調一個表達:
SymbolCommandSymbolCommand
| 7+x^\widehat{7+x}7+x? | \widehat{7+x} | abc~\widetilde{abc}abc | \widetilde{abc} |
7.其他
SymbolCommandSymbolCommandSymbolCommand
| ∞\infty∞ | \infty | △\triangle△ | \triangle | ∠\angle∠ | \angle |
| ?\aleph? | \aleph | ?\hbar? | \hbar | ?\imath? | \imath |
| ?\jmath? | \jmath | ?\ell? | \ell | ?\wp? | \wp |
| ?\Re? | \Re | ?\Im? | \Im | ?\mho? | \mho |
| ′\prime′ | \prime | ?\emptyset? | \emptyset | ?\nabla? | \nabla |
| √\surd√ | \surd | ?\partial? | \partial | ?\top? | \top |
| ⊥\bot⊥ | \bot | ?\vdash? | \vdash | ?\dashv? | \dashv |
| ?\forall? | \forall | ?\exists? | \exists | ?\neg? | \neg |
| ?\flat? | \flat | ?\natural? | \natural | ?\sharp? | \sharp |
| \\backslash\ | \backslash | □\Box□ | \Box | ?\Diamond? | \Diamond |
| ?\clubsuit? | \clubsuit | ?\diamondsuit? | \diamondsuit | ?\heartsuit? | \heartsuit |
| ?\spadesuit? | \spadesuit | ?\Join? | \Join | ■\blacksquare■ | \blacksquare |
| ?\checkmark? | \checkmark | R\mathbb{R}R | \mathbb{R} | ?\copyrightc? | \copyright |
| £\pounds£ | \pounds | □\square□ | \square | ∪\cup∪ | \cup |
| ★\bigstar★ | \bigstar | ∈\in∈ | \in | | |
8.命令符
有些符號用于命令中,因此需要以特殊的方式處理它們。
SymbolCommandSymbolCommandSymbolCommandSymbolCommand
| \\backslash\ | \backslash | &\&& | \& | %\%% | \% | #\## | \# |
| _\__ | \_ | {\{{ | \{ | }\}} | \} | | |
您可能會注意到,如果使用其中任何一個來排版垂直較大的表達式,比如
(\frac{a}{x} )^2
得到的表達式的括號的大小不對
(ax)2(\frac{a} {x} )^2(xa?)2
如果我們把\left和\right放在相關的括號前,我們會得到一個更漂亮的表達式:
\left(\frac{a}{x} \right)^2 會得到
(ax)2\left(\frac{a}{x} \right)^2(xa?)2
9.跨行或跨列的符號:
symbolcommand
| {x+y=32x+y=5\left\{\begin{array}{l}x+y=3\\2x+y=5\end{array}\right.{x+y=32x+y=5? | \left{\begin{array}{l}x+y=3\2x+y=5\end{array}\right. |
| ?xy?\left\lceil\frac{x}{y}\right\rceil?yx?? | \left\lceil\frac{x}{y}\right\rceil |
| ?xy?\left\lfloor\frac{x}{y}\right\rfloor?yx?? | \left\lfloor\frac{x}{y}\right\rfloor |
| a0+a1+a2+?+an?x\underbrace{a_0+a_1+a_2+\cdots+a_n}_{x}xa0?+a1?+a2?+?+an??? | \underbrace{a_0+a_1+a_2+\cdots+a_n}_{x} |
| a0+a1+a2+?+an?x\overbrace{a_0+a_1+a_2+\cdots+a_n}^{x}a0?+a1?+a2?+?+an??x? | \overbrace{a_0+a_1+a_2+\cdots+a_n}^{x} |
| arg?max1≤k≤nλkλk+1\arg \underset{1\leq k \leq n} {max} \frac{\lambda_k}{\lambda_{k+1}}arg1≤k≤nmax?λk+1?λk?? | \arg \underset{1\leq k \leq n} {max} \frac{\lambda_k}{\lambda_{k+1}} |
\left和\right也可以用來調整下列符號的大小:
SymbolCommandSymbolCommandSymbolCommand
| ↑\uparrow↑ | \uparrow | ↓\downarrow↓ | \downarrow | ?\updownarrow? | \updownarrow |
| ?\Uparrow? | \Uparrow | ?\Downarrow? | \Downarrow | ?\Updownarrow? | \Updownarrow |
SymbolCommandSymbolCommandSymbolCommand
| ∑\sum∑ | \sum | ∫\int∫ | \int | ∮\oint∮ | \oint |
| ∏\prod∏ | \prod | ?\coprod? | \coprod | ?\bigcap? | \bigcap |
| ?\bigcup? | \bigcup | ?\bigsqcup? | \bigsqcup | ?\bigvee? | \bigvee |
| ?\bigwedge? | \bigwedge | ?\bigodot? | \bigodot | ?\bigotimes? | \bigotimes |
| ?\bigoplus? | \bigoplus | ?\biguplus? | \biguplus | | |
換行符號 ’ \\’ 與空格符號’\quad’
SymbolCommand
| a=1b=2a=1\\b=2a=1b=2 | $ a=1 \\ b=2 $ |
| aba \qquad bab | $ a \qquad b $ |
| aba \quad bab | $ a \quad b $ |
| aba \ ba?b | $ a\ b $ |
| aba \; bab | $ a; b $ |
| aba \, bab | $ a\ b $ |
| ababab | $ ab $ |
| a?ba \! bab | $ a! b $ |
參考:
https://artofproblemsolving.com/wiki/index.php/LaTeX:Symbols
https://artofproblemsolving.com/wiki/index.php/LaTeX:Commands
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