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LaTeX数学符号汇总

發布時間:2023/12/10 编程问答 37 豆豆
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LaTeX數學符號

顯示

  • 行內顯示 $…$.
    獨行顯示 $$…$$.
  • 空格
    a b => aba bab
    a\ b => aba\ ba?b
    a \quad b => aba \quad bab
    a \qquad b =>aba \qquad bab

括號

  • [] => [][][]
    () => ()()()
    {} => {}\{\}{}

  • 自適應大小括號 \left( 與\right) :
    (\frac{\sqrt x}{y^3}) => (xy3)(\frac{\sqrt x}{y^3})(y3x??)
    \left(\frac{\sqrt x}{y^3}\right) => (xy3)\left(\frac{\sqrt x}{y^3}\right)(y3x??)

上標^ 與 下標_

  • \bar a=> aˉ\bar aaˉ
    \overline {ab}=> ab ̄\overline {ab}ab

  • \hat a => a^\hat aa^
    \widehat {abc} => abc^\widehat {abc}abc

  • "x_i^2 =>xi2x_i^2xi2?
    log_2 A => log2Alog_2 Alog2?A

  • 必要時分組{}
    10^{12} => 101210^{12}1012
    10^12 => 101210^121012
    10_12 => 101210_12101?2
    10_{12} => 101210_{12}1012?
    A_b^c => AbcA_b^cAbc?
    A_{b^c} => AbcA_{b^c}Abc?

基本運算符

  • A\times B => A×BA\times BA×B
    A\div B => A÷BA\div BA÷B
    A\cdot B => A?BA\cdot BA?B
    \Rightarrow => ?\Rightarrow?

比較運算符

  • \forall => ?\forall?
    \exists => ?\exists?
    \exists
  • \lt — &lt;\lt<
    \gt — &gt;\gt>
    \le — ≤\le
    \leq — ≤\leq
    \leqq — ≦\leqq
    \leqslant — ?\leqslant?
    \ge — ≥\ge
    \geq — ≥\geq
    \geqq — ≧\geqq
    \geqslant — ?\geqslant?
    \neq — ≠\neq??= 不等號
  • \approx —≈\approx
    \sim —~\sim
    \simeq—?\simeq?
    \cong —?\cong?
    \equiv—≡\equiv
    \prec—?\prec?

常用運算符

  • \frac{a}{b} => ab\frac{a}{b}ba? 復雜分數適用
    \frac ab => ab\frac abba? 簡單分數適用
    \cfrac{a}{b} => ab\cfrac{a}{b}ba? 連續分數適用
  • \sqrt{x^3} => x3\sqrt{x^3}x3?
    \sqrt[3]{\frac xy} => xy3\sqrt[3]{\frac xy}3yx??
  • \sin x => sin?x\sin xsinx
  • \vert a\vert => ∣a∣\vert a\verta
    \Vert a\Vert => ∥a∥\Vert a\Verta
    \langle A \rangle = >?A?\langle A \rangle?A?
    \lceilA\rceil => ?A?\lceil A\rceil?A?
    \lfloor A\rfloor => ?A?\lfloor A\rfloor?A?
    \Biggl(\biggl(\Bigl(\bigl((x)\bigr)\Bigr)\biggr)\Biggr) =>(((((x)))))\Biggl(\biggl(\Bigl(\bigl((x)\bigr)\Bigr)\biggr)\Biggr)(((((x)))))

集合運算符

  • \cup => ∪\cup
    \cap => ∩\cap
    \setminus => ?\setminus?
    \subset => ?\subset?
    \subseteq => ?\subseteq?
    \subsetneq => ?\subsetneq?
    \supset => ?\supset?
    \in => ∈\in
    \notin => ?\notin/?
    \emptyset => ?\emptyset?
    \varnothing => ?\varnothing?

常用高級運算符

  • \nabla => ?\nabla?
    \partial => ?\partial?
    \sum => ∑\sum
    \sum_{i=0}^m i^2 =>∑i=0mi2\sum_{i=0}^m i^2i=0m?i2
    \int A => ∫A\int AA
    \iint ? => ?\iint?
    \iiint ? => ?\iiint?
    \int_a^b => ∫ab\int_a^bab?
    \prod_{n=1}^{123} => ∏n=1123\prod_{n=1}^{123}n=1123?
    \bigcup => ?\bigcup?
    \bigcap => ?n=1123\bigcap_{n=1}^{123}?n=1123?
    \lim_{x\to 0} => lim?x→0\lim_{x\to 0}limx0?
    {n+1 \choose 2k} ? (n+12k){n+1 \choose 2k}(2kn+1?)
    \ldots => a1,a2…ana_1,a_2\ldots a_na1?,a2?an?
    \cdots => a1,a2?ana_1,a_2\cdots a_na1?,a2??an?

  • 大括號

\left\{ \begin\{array\}{c} a_1x+b_1y+c_1z=d_1 \\ a_2x+b_2y+c_2z=d_2 \\ a_3x+b_3y+c_3z=d_3 \end{array} \right.

{a1x+b1y+c1z=d1a2x+b2y+c2z=d2a3x+b3y+c3z=d3\left\{ \begin{array}{c} a_1x+b_1y+c_1z=d_1 \\ a_2x+b_2y+c_2z=d_2 \\ a_3x+b_3y+c_3z=d_3 \end{array} \right.????a1?x+b1?y+c1?z=d1?a2?x+b2?y+c2?z=d2?a3?x+b3?y+c3?z=d3??

f(n) = \begin{cases} n/2, & \text{if $n$ is even} \\ 3n+1, & \text{if $n$ is odd} \end{cases}

f(n)={n/2,if?nis?even3n+1,if?nis?oddf(n) = \begin{cases} n/2, &amp; \text{if $n$ is even} \\ 3n+1, &amp; \text{if $n$ is odd} \end{cases}f(n)={n/2,3n+1,?if?n?is?evenif?n?is?odd?

常用希臘字符

  • \alpha => α\alphaα
    \beta => β\betaβ
    \gamma => γ\gammaγ
    \Gamma => Γ\GammaΓ
    \omega => ω\omegaω
    Omega => Ω\OmegaΩ
    \Delta => Δ\DeltaΔ
    \theta => θ\thetaθ
    \epsilon => ?\epsilon?
    \varepsilon => ε\varepsilonε
    \phi => ?\phi?
    \varphi => φ\varphiφ
    \ell => ?\ell?

專用字符

-常規abcABC123
\mathbb {abcABC123} => abcABC123\mathbb {abcABC123}abcABC123
\mathit {abcABC123} => abcABC123\mathit {abcABC123}abcABC123
\pmb {abcABC123} => abcABC123\pmb {abcABC123}abcABC123abcABC123abcABC123
\mathtt {abcABC123} => abcABC123\mathtt {abcABC123}abcABC123
\mathrm {abcABC123} => abcABC123\mathrm {abcABC123}abcABC123
\mathsf {abcABC123} => abcABC123\mathsf {abcABC123}abcABC123
\mathcal {abcABC123} => abcABC123\mathcal {abcABC123}abcABC123
\mathscr {abcABC123} => abcABC123\mathscr {abcABC123}abcABC123
\mathfrak {abcABC123} => abcABC123\mathfrak {abcABC123}abcABC123

矩陣

\begin{matrix}1 & x & x^2 \\1 & y & y^2 \\1 & z & z^2 \\\end{matrix}

1xx21yy21zz2\begin{matrix} 1 &amp; x &amp; x^2 \\ 1 &amp; y &amp; y^2 \\ 1 &amp; z &amp; z^2 \\ \end{matrix}111?xyz?x2y2z2?

\begin{pmatrix}1 & x & x^2 \\1 & y & y^2 \\1 & z & z^2 \\\end{pmatrix}

(1xx21yy21zz2)\begin{pmatrix} 1 &amp; x &amp; x^2 \\ 1 &amp; y &amp; y^2 \\ 1 &amp; z &amp; z^2 \\ \end{pmatrix}???111?xyz?x2y2z2????

\begin{bmatrix}1 & x & x^2 \\1 & y & y^2 \\1 & z & z^2 \\\end{bmatrix}

[1xx21yy21zz2]\begin{bmatrix} 1 &amp; x &amp; x^2 \\ 1 &amp; y &amp; y^2 \\ 1 &amp; z &amp; z^2 \\ \end{bmatrix}???111?xyz?x2y2z2????

\begin{Bmatrix}1 & x & x^2 \\1 & y & y^2 \\1 & z & z^2 \\\end{Bmatrix}

{1xx21yy21zz2}\begin{Bmatrix} 1 &amp; x &amp; x^2 \\ 1 &amp; y &amp; y^2 \\ 1 &amp; z &amp; z^2 \\ \end{Bmatrix}????111?xyz?x2y2z2?????

\begin{vmatrix}1 & x & x^2 \\1 & y & y^2 \\1 & z & z^2 \\\end{vmatrix}

∣1xx21yy21zz2∣\begin{vmatrix} 1 &amp; x &amp; x^2 \\ 1 &amp; y &amp; y^2 \\ 1 &amp; z &amp; z^2 \\ \end{vmatrix}?111?xyz?x2y2z2??

以上為常用內容提取自:

lMathJax basic tutorial and quick refer.

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