保定seo网站推广,阿玛尼手表官方网站查询正品,o2o手机网站建设难,免费分站网站本文汇总了在使用LaTeX中常用的数学符号#xff0c;相关下载资源为#xff1a;139分钟学会Latex#xff08;免积分下载#xff09;。 文章目录1. 希腊字母2. 集合运算符3. 数学运算符4. 三角符号、指数符号、对数符号5. 积分、微分、偏微分6. 矩阵和行列式7. 基本函数、分段…本文汇总了在使用LaTeX中常用的数学符号相关下载资源为139分钟学会Latex免积分下载。 文章目录1. 希腊字母2. 集合运算符3. 数学运算符4. 三角符号、指数符号、对数符号5. 积分、微分、偏微分6. 矩阵和行列式7. 基本函数、分段函数8. 其它符号1. 希腊字母
在LaTeX中即使只是单个数学符号或数字也要使用’$$表示例如数字777应写成 $ 7 $大写希腊字母只需要首字母大写即可。
希腊字母LaTeX语法希腊字母LaTeX语法α\alphaα\alphaξ\xiξ, Ξ\XiΞ\xi, \Xiβ\betaβ\betaooooγ\gammaγ, Γ\GammaΓ\gamma, \Gammaπ\piπ, Π\PiΠ\pi, \Piδ\deltaδ, Δ\DeltaΔ\delta, \Deltaϖ\varpiϖ\varpiϵ\epsilonϵ\epsilonρ\rhoρ\rhoε\varepsilonε\varepsilonϱ\varrhoϱ\varrhoζ\zetaζ\zetaσ\sigmaσ, Σ\SigmaΣ\sigma, \Sigmaη\etaη\etaς\varsigmaς\varsigmaθ\thetaθ, Θ\ThetaΘ\theta, \Thetaτ\tauτ\tauϑ\varthetaϑ\varthetaυ\upsilonυ, Υ\UpsilonΥ\upsilon, \Upsilonι\iotaι\iotaϕ\phiϕ, Φ\PhiΦ\phi, \Phiκ\kappaκ\kappaφ\varphiφ\varphiλ\lambdaλ, Λ\LambdaΛ\lambda, \Lambdaχ\chiχ\chiμ\muμ\muψ\psiψ, Ψ\PsiΨ\psi, \Psiν\nuν\nuω\omegaω, Ω\OmegaΩ\omega, \Omega2. 集合运算符
集合符号LaTeX语法集合符号LaTeX语法∪\cup∪\cup∩\cap∩\cap⊂\subset⊂, ⊄\not\subset⊂\subset , \not\subset⊆\subseteq⊆\subseteq⊃\supset⊃\supset⊇\supseteq⊇\supseteq∈\in∈\in∉\notin∈/\notinR\mathbb{R}R\mathbb{R}Z\mathbb{Z}Z\mathbb{Z}Q\mathbb{Q}Q\mathbb{Q}N\mathbb{N}N\mathbb{N}C\mathbb{C}C\mathbb{C}∅\varnothing∅\varnothing∅\emptyset∅\emptysetℵ\alephℵ\aleph∀\forall∀\forall∃\exists∃\exists¬\neg¬\neg∨\vee∨\vee∧\wedge∧\wedge⊢\vdash⊢\vdash⊨\models⊨\models∖\setminus∖\setminusAcA^{\mathsf{c}}AcA^{\mathsf{c}}A‾\overline{A}A\overline{A}3. 数学运算符
运算符号LaTeX语法运算符号LaTeX语法运算符号LaTeX语法∠\angle∠\angle⋅\cdot⋅\cdot≤\leq≤\leq∡\measuredangle∡\measuredangle±\pm±\pmℓ\ellℓ\ell∓\mp∓\mp≥\geq≥\geq∥\parallel∥\parallel×\times×\times≠\neq\neq45∘45^{\circ}45∘45^{\circ}÷\div÷\div≪\ll≪ll≅\cong≅\cong∗\ast∗\ast≫\gg≫\gg≆\ncong≆\ncong∣\mid∣\mid≈\approx≈\approx∼\sim∼\sim∤\nmid∤\nmid≍\asymp≍\asymp≃\simeq≃\simeqn!n!n!n!≡\equiv≡\equiv≁\nsim≁\nsim∂\partial∂\partial≺\prec≺\prec⊕\oplus⊕\oplus∇\nabla∇\nabla⪯\preceq⪯\preceq⊖\ominus⊖\ominusℏ\hbarℏ\hbar≻\succ≻\succ⊙\odot⊙\odot∘\circ∘\circ⪰\succeq⪰\succeq⊗\otimes⊗\otimes⋆\star⋆\star∝\propto∝\propto⊘\oslash⊘\oslash√\surd√\surd≐\doteq≐\doteq↾\upharpoonright↾\upharpoonright✓\checkmark✓\checkmark4. 三角符号、指数符号、对数符号
运算符号LaTeX语法运算符号LaTeX语法运算符号LaTeX语法sin\sinsin\sinsinh\sinhsinh\sinharcsin\arcsinarcsin\arcsincos\coscos\coscosh\coshcosh\cosharccos\arccosarccos\arccostan\tantan\tantanh\tanhtanh\tanharctan\arctanarctan\arctansec\secsec\seccoth\cothcoth\cothmin\minmin\mincsc\csccsc\cscdet\detdet\detmax\maxmax\maxcot\cotcot\cotdim\dimdim\diminf\infinf\infexp\expexp\expker\kerker\kersup\supsup\suplog\loglog\logdeg\degdeg\deglim inf\liminfliminf\liminfln\lnln\lnarg\argarg\arglim sup\limsuplimsup\limsuplg\lglg\lggcd\gcdgcd\gcdlim\limlim\lim5. 积分、微分、偏微分
一重积分
$$
\int_{x0}^3 x^2\ 9
$$∫x03x29\int_{x0}^3 x^2\ 9 ∫x03x2 9
二重积分
$$
\iint dxdy S
$$∬dxdyS\iint dxdy S ∬dxdyS
三重积分
$$
\iiint dxdydz V
$$∭dxdydzV\iiint dxdydz V ∭dxdydzV
一阶微分方程
$$
\frac{dy}{dx}P(x)y Q(x)
\\ \left. \frac{{\rm d}y}{{\rm d}x} \right|_{x0} 3x1
$$dydxP(x)yQ(x)dydx∣x03x1\frac{dy}{dx}P(x)y Q(x) \\ \left. \frac{{\rm d}y}{{\rm d}x} \right|_{x0} 3x1 dxdyP(x)yQ(x)dxdy∣∣∣∣x03x1
二阶微分方程
$$
ypyqyf(x)
\\\frac{d^2y}{dx^2}p\frac{dy}{dx}qyf(x)
$$y′′py′qyf(x)d2ydx2pdydxqyf(x)ypyqyf(x) \\\frac{d^2y}{dx^2}p\frac{dy}{dx}qyf(x) y′′py′qyf(x)dx2d2ypdxdyqyf(x)
偏微分方程
$$
\frac{\partial u}{\partial t} h^2 \left( \frac{\partial^2 u}{\partial x^2} \frac{\partial^2 u}{\partial y^2} \frac{\partial^2 u}{\partial z^2}\right)
$$∂u∂th2(∂2u∂x2∂2u∂y2∂2u∂z2)\frac{\partial u}{\partial t} h^2 \left( \frac{\partial^2 u}{\partial x^2} \frac{\partial^2 u}{\partial y^2} \frac{\partial^2 u}{\partial z^2}\right) ∂t∂uh2(∂x2∂2u∂y2∂2u∂z2∂2u) 6. 矩阵和行列式
单位矩阵
$$
\begin{bmatrix}
100 \\
010 \\
001 \\
\end{bmatrix}
$$[100010001]\begin{bmatrix} 100 \\ 010 \\ 001 \\ \end{bmatrix} ⎣⎡100010001⎦⎤
m×nm \times nm×n矩阵
$$
A\begin{bmatrix}
{a_{11}}{a_{12}}{\cdots}{a_{1n}} \\
{a_{21}}{a_{22}}{\cdots}{a_{2n}} \\
{\vdots}{\vdots}{\ddots}{\vdots} \\
{a_{m1}}{a_{m2}}{\cdots}{a_{mn}} \\
\end{bmatrix}$$
$$A[a11a12⋯a1na21a22⋯a2n⋮⋮⋱⋮am1am2⋯amn]A\begin{bmatrix} {a_{11}}{a_{12}}{\cdots}{a_{1n}} \\ {a_{21}}{a_{22}}{\cdots}{a_{2n}} \\ {\vdots}{\vdots}{\ddots}{\vdots} \\ {a_{m1}}{a_{m2}}{\cdots}{a_{mn}} \\ \end{bmatrix} A⎣⎢⎢⎢⎡a11a21⋮am1a12a22⋮am2⋯⋯⋱⋯a1na2n⋮amn⎦⎥⎥⎥⎤
行列式
$$
D\begin{vmatrix}
{a_{11}}{a_{12}}{\cdots}{a_{1n}} \\
{a_{21}}{a_{22}}{\cdots}{a_{2n}} \\
{\vdots}{\vdots}{\ddots}{\vdots} \\
{a_{m1}}{a_{m2}}{\cdots}{a_{mn}} \\
\end{vmatrix}
$$D∣a11a12⋯a1na21a22⋯a2n⋮⋮⋱⋮am1am2⋯amn∣D\begin{vmatrix} {a_{11}}{a_{12}}{\cdots}{a_{1n}} \\ {a_{21}}{a_{22}}{\cdots}{a_{2n}} \\ {\vdots}{\vdots}{\ddots}{\vdots} \\ {a_{m1}}{a_{m2}}{\cdots}{a_{mn}} \\ \end{vmatrix} D∣∣∣∣∣∣∣∣∣a11a21⋮am1a12a22⋮am2⋯⋯⋱⋯a1na2n⋮amn∣∣∣∣∣∣∣∣∣ 7. 基本函数、分段函数
基本函数
$$
f(n)\sum_{i1}^{n}{n*(n1)}
$$f(n)∑i1nn∗(n1)f(n)\sum_{i1}^{n}{n*(n1)} f(n)i1∑nn∗(n1)
$$
x^{y}(1{\rm e}^x)^{-2xy}
$$ xy(1ex)−2xyx^{y}(1{\rm e}^x)^{-2xy} xy(1ex)−2xy
$$
\Gamma(z) \int_0^\infty t^{z-1}e^{-t}dt\,.
$$Γ(z)∫0∞tz−1e−tdt.\Gamma(z) \int_0^\infty t^{z-1}e^{-t}dt\,. Γ(z)∫0∞tz−1e−tdt.
$$
y(x)x^32x^2x1
$$ y(x)x32x2x1y(x)x^32x^2x1 y(x)x32x2x1
分段函数
$$
f_n \begin {cases}
a \text {if $n0$} \\
r \cdot f_{n -1} \text {else}
\end{cases}
$$fn{aif n0r⋅fn−1elsef_n \begin {cases} a \text {if $n0$} \\ r \cdot f_{n -1} \text {else} \end{cases} fn{ar⋅fn−1if n0else 齐次方程
$$
\left \{
\begin{array}{c}
a_1xb_1yc_1zd_1 \\
a_2xb_2yc_2zd_2 \\
a_3xb_3yc_3zd_3
\end{array}
\right.
$${a1xb1yc1zd1a2xb2yc2zd2a3xb3yc3zd3\left \{ \begin{array}{c} a_1xb_1yc_1zd_1 \\ a_2xb_2yc_2zd_2 \\ a_3xb_3yc_3zd_3 \end{array} \right. ⎩⎨⎧a1xb1yc1zd1a2xb2yc2zd2a3xb3yc3zd3 8. 其它符号
数学符号LaTeX语法数学符号LaTeX语法数学符号LaTeX语法2\sqrt{2}2\sqrt{2}3n\sqrt[n]{3}n3\sqrt[n]{3}f′ff′f’f′′ff′′f’’Σ∗\Sigma^{*}Σ∗\Sigma^{*}a˙\dot{a}a˙\dot{a}a¨\ddot{a}a¨\ddot{a}x^\hat{x}x^\hat{x}x~\tilde{x}x~\tilde{x}xˉ\bar{x}xˉ\bar{x}x⃗\vec{x}x\vec{x}∞\infty∞\infty→\rightarrow→\rightarrow↦\mapsto↦\mapsto↛\nrightarrow↛\nrightarrow⟼\longmapsto⟼\longmapsto⟶\longrightarrow⟶\longrightarrow←\leftarrow←\leftarrow⇒\Rightarrow⇒\Rightarrow↔\leftrightarrow↔\leftrightarrow↓\downarrow↓\downarrow↑\uparrow↑\uparrow↕\updownarrow↕\updownarrow23\frac{2}{3}32\frac{2}{3}
