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2026-01-20
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希腊字母#

δ,λΔ,ΛABϕ,φϵ,επ\delta,\lambda\\ \Delta,\Lambda\\ \Alpha\Beta\\ \phi,\varphi\\ \epsilon,\varepsilon\\ π

上下标#

a2,a1xy+z,pij,pijxi,xiA B,ABAB,ABABe,ia^2,a_1\\ x^{y+z},p_{ij},p_ij\\ x_i,x_{\text i}\\ \text{A B},\rm{A B}\\ \text A B,\rm A B\\ {\rm A} B\\ \text{e},\text{i}

分式与根式#

12,12,1x+y1x+1y+1\frac{1}{2},\frac 1 2,\\ \frac 1 {x+y}\\ \frac {\dfrac 1 x + 1}{y + 1}2,x+y,x3\sqrt 2,\sqrt{x+y},\sqrt[3]x

普通运算符#

+−×,⋅,÷±,∓><,≥,≤,≫,≪,≠,≈,≡∩,∪,∈,∉,⊆,⫋,∅∀,∃,∄∵,∴R,R,\Q,N,Z+F,F+-\\ \times,\cdot,\div\\ \pm,\mp\\ ><,\ge,\le,\gg,\ll,\ne,\approx,\equiv\\ \cap,\cup,\in,\notin,\subseteq,\subsetneqq,\varnothing\\ \forall,\exists,\nexists\\ \because,\therefore\\ \mathbb R,\R,\Q,\N,\Z_+\\ \mathcal F,\mathscr F⋯ ,⋮,⋱\cdots,\vdots,\ddots∞,∂,∂,∇,∝,°\infty,\partial,∂,\nabla,\propto,\degreesin⁡x,sec⁡x,cosh⁡xlog⁡2x,ln⁡x,lg⁡xlim⁡x→0xsin⁡xmax⁡x\sin x,\sec x,\cosh x\\ \log_2 x, \ln x,\lg x\\ \lim\limits_{x \to 0} \frac { x}{\sin x}\\ \max xMSE(x)\text{MSE}(x)

大型运算符#

∑,∏∑i,∑i=0N∑i=1nxi∏i=1nxi\sum,\prod\\ \sum_i,\sum_{i=0}^N\\ \frac{\sum\limits_{i=1}^n x_i}{\prod\limits_{i=1}^n x_i}∫,∬,∭,∮,∯∫−∞0f(x) dx\int,\iint,\iiint,\oint,\oiint\\ \int_{-\infty}^0 f(x)\,\text d xa aa aaaaaa\, a\\ a\ a\\ a\quad a\\ a\qquad a

标注符号#

x⃗,AB→xˉ,AB‾\vec x,\overrightarrow {AB}\\ \bar x,\overline{AB}

箭头#

←,⇒,⇔,⟵\leftarrow,\Rightarrow,\Leftrightarrow,\longleftarrow

括号与定界符#

([]){}⌈,⌉,⌊,⌋,∣∣(0,1a]∂f∂x∣x=0([])\{ \}\\ \lceil,\rceil,\lfloor,\rfloor,||\\ \left(0,\frac 1 a\right]\\ \left.\frac {∂f}{∂x}\right|_{x=0}

多行公式#

a=b+c+d=e+f\begin{align} a&=b+c+d\\ &=e+f \end{align}

大括号#

f(x)={sin⁡x,−π≤x≤π0,其他f(x)= \begin{cases} \sin x, & -π\le x \le π\\ 0,& \text{其他} \end{cases}

矩阵#

ab⋯c⋮⋮⋱⋮ef⋯g\begin{matrix} a & b & \cdots & c \\ \vdots& \vdots & \ddots & \vdots \\ e & f& \cdots & g \end{matrix}[ab⋯c⋮⋮⋱⋮ef⋯g](ab⋯c⋮⋮⋱⋮ef⋯g)∣ab⋯c⋮⋮⋱⋮ef⋯g∣\begin{bmatrix} a & b & \cdots & c \\ \vdots& \vdots & \ddots & \vdots \\ e & f& \cdots & g \end{bmatrix} \begin{pmatrix} a & b & \cdots & c \\ \vdots& \vdots & \ddots & \vdots \\ e & f& \cdots & g \end{pmatrix} \begin{vmatrix} a & b & \cdots & c \\ \vdots& \vdots & \ddots & \vdots \\ e & f& \cdots & g \end{vmatrix}A,BT\bf A,\bf B^{\rm T}

实战演练#

f(x)=12πσe−(x−μ)22σ2f(x)=12πσexp⁡[−(x−μ)22σ2]f(x) = \frac 1 {\sqrt{2\pi} \sigma} {\rm e} ^ {-\frac {(x-\mu)^2}{2\sigma ^ 2}}\\ f(x) = \frac 1 {\sqrt{2\pi} \sigma} \exp \left[ {-\frac {(x-\mu)^2}{2\sigma ^ 2}}\right]lim⁡N→∞P{∣I(αi)N−H(s)∣<ε}=1\lim\limits_{N\to \infty} P \left\{ \left| \frac {I\left( \alpha_i \right)}{N} - H(s) \right| < \varepsilon \right\} = 1x(n)=12π∫−ππX(ejω)ejωn dωx(n) = \frac 1 {2\pi} \int _{-π} ^ π X\left( {\rm e} ^ {{\rm j} \omega } \right) {\rm e} ^ {{\rm j} \omega n} \, {\rm d}\omega\\B⃗(r⃗)=μ04π∮CI dl⃗×R⃗R3=μ04π∫VJ⃗V×R⃗R3 dV′\begin{align} \vec B \left( \vec r \right) &= \frac {\mu_0}{4\pi}\oint_C \frac {I \, {\rm d} \vec l \times \vec R}{R^3}\\ &= \frac {\mu_0}{4\pi} \int_V \frac{\vec J_V \times \vec R}{R^3}\, {\rm d} V' \end{align}
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Markdown Tutorial
https://github.com/emn178/markdown
作者
emn178
发布于
2026-01-20
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