Published on

Markdown(Typora)数学公式

Authors
  • avatar
    Name
    东哥
    Twitter

Ctrl+Shift+M激活公式

上下标

a^2+\ b_{y_3}

a2+ by3a^2+\ b_{y_3}

括号

  • 中小括号

(a+b)*[c+2]

(a+b)∗[c+2](a+b)*[c+2]
  • 大括号需要加\

\{1,2,3 \}

{1,2,3}\{1,2,3 \}
  • 尖括号

\langle x \rangle

⟨x⟩\langle x \rangle
  • 上下取整

\lceil x \rceil+\lfloor y\rfloor

⌈x⌉+⌊y⌋\lceil x \rceil+\lfloor y\rfloor
  • 特殊括号

\begin{pmatrix} 1\ 2\\ 3\ 4 \end{pmatrix}\\ \begin{bmatrix} 1\ 2\\ 3\ 4 \end{bmatrix}\\ \begin{Bmatrix} 1\ 2\\ 3\ 4 \end{Bmatrix}\\ \begin{vmatrix} 1& 2\\ 3& 4 \end{vmatrix}\\ \begin{Vmatrix} 1& 2\\ 3& 4 \end{Vmatrix}\\

(1 23 4)[1 23 4]{1 23 4}∣1234∣∥1234∥\begin{pmatrix} 1\ 2\\ 3\ 4 \end{pmatrix}\\ \begin{bmatrix} 1\ 2\\ 3\ 4 \end{bmatrix}\\ \begin{Bmatrix} 1\ 2\\ 3\ 4 \end{Bmatrix}\\ \begin{vmatrix} 1& 2\\ 3& 4 \end{vmatrix}\\ \begin{Vmatrix} 1 & 2\\ 3 & 4 \end{Vmatrix}\\

希腊字母

1.\alpha\ A\\ 2.\beta\ B\\ 3.\gamma\ \Gamma\\ 4.\delta\ \Delta\\ 5.\epsilon\ E\\ 6.\zeta\ Z\\ 7.\eta\ H\\ 8.\theta\ \Theta\\ 9.\iota\ I\\ 10.\kappa\ K\\ 11.\lambda\ \Lambda\\ 12.\mu\ M\\ 13.\nu\ N\\ 14.\xi\ \Xi\\ 15.\omicron\ O\\ 16.\pi\ \Pi\\ 17.\rho\ P\\ 18.\sigma\ \Sigma\\ 19.\tau\ T\\ 20.\upsilon\ \Upsilon\\ 21.\phi\ \Phi\\ 22.\chi\ X\\ 23.\psi\ \Psi\\ 24.\omega\ \Omega\\

1.α A2.β B3.γ Γ4.δ Δ5.ϵ E6.ζ Z7.η H8.θ Θ9.ι I10.κ K11.λ Λ12.μ M13.ν N14.ξ Ξ15.ο O16.π Π17.ρ P18.σ Σ19.τ T20.υ Υ21.ϕ Φ22.χ X23.ψ Ψ24.ω Ω1.\alpha\ A\\ 2.\beta\ B\\ 3.\gamma\ \Gamma\\ 4.\delta\ \Delta\\ 5.\epsilon\ E\\ 6.\zeta\ Z\\ 7.\eta\ H\\ 8.\theta\ \Theta\\ 9.\iota\ I\\ 10.\kappa\ K\\ 11.\lambda\ \Lambda\\ 12.\mu\ M\\ 13.\nu\ N\\ 14.\xi\ \Xi\\ 15.\omicron\ O\\ 16.\pi\ \Pi\\ 17.\rho\ P\\ 18.\sigma\ \Sigma\\ 19.\tau\ T\\ 20.\upsilon\ \Upsilon\\ 21.\phi\ \Phi\\ 22.\chi\ X\\ 23.\psi\ \Psi\\ 24.\omega\ \Omega\\

根式分式

\sqrt[x+y]{\frac ab}+\sqrt{c+2\over 50+x}

abx+y+c+250+x\sqrt[x+y]{\frac ab}+\sqrt{c+2\over 50+x}

字体

ABCabc+\ \mathbb{ ABCabc}+\ \Bbb{ ABCabc黑板粗体}\\ ABCabc+\mathbf{ABCabc黑体}\\ ABCabc+\mathtt{ABCabc打印字体} \\ ABCabc+\mathrm{ABCabc罗马字体} \\ ABCabc+\mathscr{ABCabc手写字体} \\ ABCabc+\mathfrak{ABCabc德国字体Fraktur}

ABCabc+ ABCabc+ ABCabc黑板粗体ABCabc+ABCabc黑体ABCabc+ABCabc打印字体ABCabc+ABCabc罗马字体ABCabc+ABCabc手写字体ABCabc+ABCabc德国字体FrakturABCabc+\ \mathbb{ ABCabc}+\ \Bbb{ ABCabc黑板粗体}\\ ABCabc+\mathbf{ABCabc黑体}\\ ABCabc+\mathtt{ABCabc打印字体} \\ ABCabc+\mathrm{ABCabc罗马字体} \\ ABCabc+\mathscr{ABCabc手写字体} \\ ABCabc+\mathfrak{ABCabc德国字体Fraktur}

表格

\begin{array}{c|lcr} n & \text{Left} & \text{Center} & \text{Right} \\ \hline 1 & 0.24 & 1 & 125 \\ 2 & -1 & 189 & -8 \\ 3 & -20 & 2000 & 1+10i \\ \end{array}

nLeftCenterRight10.2411252−1189−83−2020001+10i\begin{array}{c|lcr} n & \text{Left} & \text{Center} & \text{Right} \\ \hline 1 & 0.24 & 1 & 125 \\ 2 & -1 & 189 & -8 \\ 3 & -20 & 2000 & 1+10i \\ \end{array}

矩阵

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

1xx21yy21zz2\begin{matrix} 1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2 \end{matrix}

向量等顶部符号

\vec{abc} \ ,\overline b\ ,\overrightarrow{cde} \ ,\dot c\ , \dot {adb}\ ,\ddot{acd}\ ,\dddot{adfe}

abc⃗ ,b‾ ,cde→ ,c˙ ,adb˙ ,acd¨ ,adfe...\vec{abc} \ ,\overline b\ ,\overrightarrow{cde} \ ,\dot c\ , \dot {adb}\ ,\ddot{acd}\ ,\dddot{adfe}

对其

需要使用&来指示需要对齐的位置

\begin{align} \sqrt{37} & = \sqrt{\frac{73^2-1}{12^2}} \\ & = \sqrt{\frac{73^2}{12^2} \cdot \frac{73^2-1}{73^2}} \\ & = \frac{73}{12} \sqrt{1 - \frac{1}{73^2}} \\ & \approx \frac{73}{12} \left( 1 - \frac{1}{2 \cdot 73^2} \right) \end{align}

37=732−1122=732122⋅732−1732=73121−1732≈7312(1−12⋅732)\begin{align} \sqrt{37} & = \sqrt{\frac{73^2-1}{12^2}} \\ & = \sqrt{\frac{73^2}{12^2} \cdot \frac{73^2-1}{73^2}} \\ & = \frac{73}{12} \sqrt{1 - \frac{1}{73^2}} \\ & \approx \frac{73}{12} \left( 1 - \frac{1}{2 \cdot 73^2} \right) \end{align}

分类表达式

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

\left. \begin{array}{l} \text{if $n$ is even:} & n/2 \\ \text{if $n$ is odd:} & 3n+1 \end{array} \right\} = f(n)

if n is even:n/2if n is odd:3n+1}=f(n)\left. \begin{array}{l} \text{if $n$ is even:} & n/2 \\ \text{if $n$ is odd:} & 3n+1 \end{array} \right\} = f(n)

公式标记与引用

a:= x^2-y^3 \tag{公式1}\label{公式1}

a:=x2−y3\label公式1(公式1)a:= x^2-y^3 \tag{公式1}\label{公式1}

a+y^3 \stackrel{\eqref{公式1}}=x^2

a+y3=\eqref公式1x2a+y^3 \stackrel{\eqref{公式1}}=x^2

其他

\to \rightarrow \leftarrow \Rightarrow \Leftarrow \mapsto

→→←⇒⇐↦\to \rightarrow \leftarrow \Rightarrow \Leftarrow \mapsto

\lt \gt \le \ge \neq

<>≤≥≠\lt \gt \le \ge \neq

\sin x\\ \arctan_y\\ \lim_{1\to\infty}\\

sin⁡xarctan⁡ylim⁡1→∞\sin x\\ \arctan_y\\ \lim_{1\to\infty}\\

\sum_1^n\ ,\int_1^{x+y}\

\sum_1^n\ ,\int_1^{x+y}\

合集图片

20190703164359871

Discuss on Twitter • View on GitHub