[希腊字母](#toc)
------------

小写字母

语法

大写字母

语法

αα\\alpha

`$\alpha$`

AAA\\Alpha\\Alpha

`$\Alpha$`

ββββ\\beta

`$\beta$`

BBB\\Beta\\Beta

`$\Beta$`

γγγγ\\gamma

`$\gamma$`

ΓΓΓΓ\\Gamma

`$\Gamma$`

δδδδ\\delta

`$\delta$`

ΔΔΔΔ\\Delta

`$\Delta$`

λλλλ\\lambda

`$\lambda$`

ΛΛΛΛ\\Lambda

`$\Lambda$`

ωωωω\\omega

`$\omega$`

ΩΩΩΩ\\Omega

`$\Omega$`

ψψψψ\\psi

`$\psi$`

ΨΨΨΨ\\Psi

`$\Psi$`

χχχχ\\chi

`$\chi$`

XXX\\Chi\\Chi

`$\Chi$`

ρρρρ\\rho

`$\rho$`

PPP\\Rho\\Rho

`$\Rho$`

ϵϵϵϵ\\epsilon

`$\epsilon$`

EEE\\Epsilon\\Epsilon

`$\Epsilon$`

κκκκ\\kappa

`$\kappa$`

KKK\\Kappa\\Kappa

`$\Kappa$`

ππππ\\pi

`$\pi$`

ΠΠΠΠ\\Pi

`$\Pi$`

ϕϕϕϕ\\phi

`$\phi$`

ΦΦΦΦ\\Phi

`$\Phi$`

σσσσ\\sigma

`$\sigma$`

ΣΣΣΣ\\Sigma

`$\Sigma$`

θθθθ\\theta

`$\theta$`

ΘΘΘΘ\\Theta

`$\Theta$`

υυυυ\\upsilon

`$\upsilon$`

ΥΥΥΥ\\Upsilon

`$\Upsilon$`

ξξξξ\\xi

`$\xi$`

ΞΞΞΞ\\Xi

`$\Xi$`

ττττ\\tau

`$\tau$`

TTT\\Tau\\Tau

`$\Tau$`

ιιιι\\iota

`$\iota$`

III\\Iota\\Iota

`$\Iota$`

ηηηη\\eta

`$\eta$`

HHH\\Eta\\Eta

`$\Eta$`

ζζζζ\\zeta

`$\zeta$`

ZZZ\\Zeta\\Zeta

`$\Zeta$`

μμμμ\\mu

`$\mu$`

MMM\\Mu\\Mu

`$\Mu$`

νννν\\nu

`$\nu$`

NNN\\Nu\\Nu

`$\Nu$`

ϝϝϝϝ\\digamma

`$\digamma$`

ℵℵℵℵ\\aleph

`$\aleph$`

ℷℷℷℷ\\gimel

`$\gimel$`

ℸℸℸℸ\\daleth

`$\daleth$`

ϱϱϱϱ\\varrho

`$\varrho$`

εεεε\\varepsilon

`$\varepsilon$`

ϰϰϰϰ\\varkappa

`$\varkappa$`

ϖϖϖϖ\\varpi

`$\varpi$`

φφφφ\\varphi

`$\varphi$`

ςςςς\\varsigma

`$\varsigma$`

ϑϑϑϑ\\vartheta

`$\vartheta$`

[算符](#toc)
----------

### [基本数学算符](#toc)

算符形式

语法

××××\\times

`$\times$`

÷÷÷÷\\div

`$\div$`

x−−√x−−√xx−−√\\sqrt{x}

`$\sqrt{x}$`

ndndndnd\\frac{n}{d}

`$\frac{n}{d}$`

⋅⋅⋅⋅\\cdot

`$\cdot$`

⋅⋅⋅⋅\\centerdot

`$\centerdot$`

∖∖∖∖\\setminus

`$\setminus$`

%%%%\\%

`$\%$`

∗∗∗∗\\ast

`$\ast$`

$$$$\\$

`$\$$`

∞∞∞∞\\infty

`$\infty$`

±±±±\\pm

`$\pm$`

∓∓∓∓\\mp

`$\mp$`

||||\\lvert

`$\lvert$`

||||\\rvert

`$\rvert$`

∥∥‖∥\\lVert

`$\lVert$`

∥∥‖∥\\rVert

`$\rVert$`

### [关系逻辑算符](#toc)

算符形式

语法

≠≠≠≠\\neq

`$\neq$`

≤≤≤≤\\leq

`$\leq$`

≥≥≥≥\\ge

`$\ge$|`

≡≡≡≡\\equiv

`$\equiv$`

≈≈≈≈\\approx

`$\approx$`

≃≃≃≃\\simeq

`$\simeq$`

≅≅≅≅\\cong

`$\cong$`

≪≪≪≪\\ll

`$\ll$`

≫≫≫≫\\gg

`$\gg$`

∝∝∝∝\\propto

`$\propto$`

∅∅∅∅\\varnothing

`$\varnothing$`

∝∝∝∝\\varpropto

`$\varpropto$`

∣∣∣∣\\mid

`$\mid$`

∣∣∣∣\\shortmid

`$\shortmid$`

∥∥∥∥\\parallel

`$\parallel$`

⊸⊸⊸⊸\\multimap

`$\multimap$`

⊥⊥⊥⊥\\perp

`$\perp$`

⊂⊂⊂⊂\\subset

`$\subset$`

⊃⊃⊃⊃\\supset

`$\supset$`

⊆⊆⊆⊆\\subseteq

`$\subseteq$`

⊇⊇⊇⊇\\supseteq

`$\supseteq$`

⫅⫅⫅⫅\\subseteqq

`$\subseteqq$`

⫆⫆⫆⫆\\supseteqq

`$\supseteqq$`

⊈⊈⊈⊈\\nsubseteq

`$\nsubseteq$`

⊉⊉⊉⊉\\nsupseteq

`$\nsupseteq$`

⫋⫋⫋⫋\\subsetneqq

`$\subsetneqq$`

⫌⫌⫌⫌\\supsetneqq

`$\supsetneqq$`

∪∪∪∪\\cup

`$\cup$`

∩∩∩∩\\cap

`$\cap$`

∈∈∈∈\\in

`$\in$`

∉∉∉∉\\notin

`$\notin$`

∨∨∨∨\\vee

`$\vee$`

∧∧∧∧\\wedge

`$\wedge$`

&&&&\\And

`$\And$`

### [证明算符](#toc)

算符形式

语法

∀∀∀∀\\forall

`$\forall$|`

∃∃∃∃\\exists

`$\exists$|`

→→→→\\to

`$\to$|`

⟺⟺⟺⟺\\iff

`$\iff$|`

∵∵∵∵\\because

`$\because$|`

∴∴∴∴\\therefore

`$\therefore$|`

### [微积分及特殊算子](#toc)

算符形式

语法

\\pounds\\pounds\\pounds\\pounds\\pounds

`$\pounds$`

∂∂∂∂\\partial

`$\partial$`

∇∇∇∇\\nabla

`$\nabla$`

∏∏∏∏\\prod

`$\prod$`

∑∑∑∑\\sum

`$\sum$|`

∫∫∫∫\\int

`$\int$|`

∬∬∬∬\\iint

`$\iint$|`

∭∭∭∭\\iiint

`$\iiint$|`

∮∮∮∮\\oint

`$\oint$|`

∯∯∯\\oiint\\oiint

`$\oiint$|`

∐∐∐∐\\coprod

`$\coprod$|`

ℓℓℓℓ\\ell

`$\ell$|`

FFFF\\mathscr{F}

`$\mathscr{F}$|`

LLLL\\mathscr{L}

`$\mathscr{L}$|`

MMMM\\mathscr{M}

`$\mathscr{M}$|`

ZZZZ\\mathscr{Z}

`$\mathscr{Z}$|`

limx→∞limx→∞limx→∞limx→∞\\lim_{x\\to\\infty}

`$\lim_{x\to\infty}$|`

### [矩阵向量](#toc)

示例

语法

a⃗ a⃗ a→a⃗ \\vec{a}

`$\vec{a}$|`

…………\\ldots

`$\ldots$|`

⋯⋯⋯⋯\\cdots

`$\cdots$|`

⋱⋱⋱⋱\\ddots

`$\ddots$|`

⋮⋮⋮⋮\\vdots

`$\vdots$|`

\[acbd\]\[acbd\]\[abcd\]\[acbd\]\\left\[ \\begin{matrix}a&b\\\c&d\\end{matrix} \\right\]

`$\left[ \begin{matrix}a&b\\c&d\end{matrix} \right]$|`

[数学字母](#toc)
------------

示例

语法

\\mathnormalA\\mathnormalA\\mathnormalA\\mathnormalA\\mathnormal{A}

`$\mathnormal{A}$|`

AAAA\\mathrm{A}

`$\mathrm{A}$|`

AAAA\\mathsf{A}

`$\mathsf{A}$|`

AAAA\\mathbf{A}

`$\mathbf{A}$|`

AAAA\\mathit{A}

`$\mathit{A}$|`

AAAA\\mathtt{A}

`$\mathtt{A}$|`

AAAA\\mathfrak{A}

`$\mathfrak{A}$|`

AAAA\\mathscr{A}

`$\mathscr{A}$|`

AAAA\\mathcal{A}

`$\mathcal{A}$|`

AAAA\\mathbb{A}

`$\mathbb{A}$|`

AAAA\\boldsymbol{A}

`$\boldsymbol{A}$|`

[着重符](#toc)
-----------

示例

语法

a~a~a~a~\\tilde{a}

`$\tilde{a}$|`

a^a^a^a^\\hat{a}

`$\hat{a}$|`

a¯a¯a¯a¯\\bar{a}

`$\bar{a}$|`

a˙a˙a˙a˙\\dot{a}

`$\dot{a}$|`

a¨a¨a¨a¨\\ddot{a}

`$\ddot{a}$`

[箭头](#toc)
----------

示例

语法

示例

语法

示例

语法

→→→→\\rightarrow

`$\rightarrow$|`

←←←←\\leftarrow

`$\leftarrow$|`

→→→→\\to

`$\to$|`

⟺⟺⟺⟺\\iff

`$\iff$|`

⊸⊸⊸⊸\\multimap

`$\multimap$|`

⇒⇒⇒⇒\\Rightarrow

`$\Rightarrow$|`

⇐⇐⇐⇐\\Leftarrow

`$\Leftarrow$|`

⟶⟶⟶⟶\\longrightarrow

`$\longrightarrow$|`

⟹⟹⟹⟹\\Longrightarrow

`$\Longrightarrow$|`

⟵⟵⟵⟵\\longleftarrow

`$\longleftarrow$|`

⟸⟸⟸⟸\\Longleftarrow

`$\Longleftarrow$|`

↑↑↑↑\\uparrow

`$\uparrow$|`

⇑⇑⇑⇑\\Uparrow

`$\Uparrow$|`

↓↓↓↓\\downarrow

`$\downarrow$|`

⇓⇓⇓⇓\\Downarrow

`$\Downarrow$|`

↕↕↕↕\\updownarrow

`$\updownarrow$|`

⇕⇕⇕⇕\\Updownarrow

`$\Updownarrow$|`

↗↗↗↗\\nearrow

`$\nearrow$|`

↖↖↖↖\\nwarrow

`$\nwarrow$|`

↙↙↙↙\\swarrow

`$\swarrow$|`

↘↘↘↘\\searrow

`$\searrow$|`

⟷⟷⟷⟷\\longleftrightarrow

`$\longleftrightarrow$|`

⟺⟺⟺⟺\\Longleftrightarrow

`$\Longleftrightarrow$|`

↭↭↭↭\\leftrightsquigarrow

`$\leftrightsquigarrow$|`

⟼⟼⟼⟼\\longmapsto

`$\longmapsto$|`

↣↣↣↣\\rightarrowtail

`$\rightarrowtail$|`

↢↢↢↢\\leftarrowtail

`$\leftarrowtail$|`

⇢⇢⇢⇢\\dashrightarrow

`$\dashrightarrow$|`

⇠⇠⇠⇠\\dashleftarrow

`$\dashleftarrow$|`

↻↻↻↻\\circlearrowright

`$\circlearrowright$|`

↺↺↺↺\\circlearrowleft

`$\circlearrowleft$|`

↱↱↱↱\\Rsh

`$\Rsh$|`

↰↰↰↰\\Lsh

`$\Lsh$|`

↪↪↪↪\\hookrightarrow

`$\hookrightarrow$|`

↩↩↩↩\\hookleftarrow

`$\hookleftarrow$|`

↷↷↷↷\\curvearrowright

`$\curvearrowright$|`

↶↶↶↶\\curvearrowleft

`$\curvearrowleft$|`

↬↬↬↬\\looparrowright

`$\looparrowright$|`

↫↫↫↫\\looparrowleft

`$\looparrowleft$|`

←a←a←a←a\\xleftarrow{a}

`$\xleftarrow{a}$`

→a→a→a→a\\xrightarrow{a}

`$\xrightarrow{a}$`

\\xleftrightarrowa\\xleftrightarrowa\\xleftrightarrowa\\xleftrightarrowa\\xleftrightarrow{a}

`$\xleftrightarrow{a}$`

a→a→a→a→\\overrightarrow{a}

`$\overrightarrow{a}$`

a←a←a←a←\\overleftarrow{a}

`$\overleftarrow{a}$`

a↔a↔a↔a↔\\overleftrightarrow{a}

`$\overleftrightarrow{a}$`

a→a→a→a→\\underrightarrow{a}

`$\underrightarrow{a}$`

a←a←a←a←\\underleftarrow{a}

`$\underleftarrow{a}$`

a↔a↔a↔a↔\\underleftrightarrow{a}

`$\underleftrightarrow{a}$`

[方程组](#toc)
-----------

fϵ(t)={1ϵ,−ϵ2≤t≤ϵ20,otherwise

fϵ(t)={1ϵ,−ϵ2≤t≤ϵ20,otherwise

fϵ(t)={1ϵ,−ϵ2≤t≤ϵ20,otherwise

fϵ(t)={1ϵ,−ϵ2≤t≤ϵ20,otherwise

f_{\\epsilon}(t) = \\begin{cases} \\frac{1}{\\epsilon}, -\\frac{\\epsilon}{2} \\leq t \\leq \\frac{\\epsilon}{2} \\\ 0, otherwise \\end{cases}

$$
f_{\epsilon}(t) =
\begin{cases}
\frac{1}{\epsilon}, -\frac{\epsilon}{2} \leq t \leq \frac{\epsilon}{2} \\
0, otherwise
\end{cases}
$$

f(t)=(s+1)(s+3)(s+1)(s+2)(s+5)=s+3(s+2)(s+5)

f(t)=(s+1)(s+3)(s+1)(s+2)(s+5)=s+3(s+2)(s+5)

f(t)=(s+1)(s+3)(s+1)(s+2)(s+5)=s+3(s+2)(s+5)

f(t)=(s+1)(s+3)(s+1)(s+2)(s+5)=s+3(s+2)(s+5)

\\begin{aligned} f(t) & = \\frac{(s+1)(s+3)}{(s+1)(s+2)(s+5)} \\\ & = \\frac{s+3}{(s+2)(s+5)} \\end{aligned}

$$
\begin{aligned}
f(t) & = \frac{(s+1)(s+3)}{(s+1)(s+2)(s+5)} \\
& = \frac{s+3}{(s+2)(s+5)}
\end{aligned}
$$