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KaTeX 数学公式示例

1970-01-02
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KaTeX
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本文展示了 Firefly 主题对 KaTeX 数学公式的渲染支持。

行内公式 (Inline)#

行内公式使用单个 $ 符号包裹。

例如：欧拉公式 eiπ+1=0e^{i\pi} + 1 = 0 是数学中最优美的公式之一。

质能方程 E=mc2E = mc^2 也是家喻户晓。

块级公式 (Block)#

块级公式使用两个 $$ 符号包裹，会居中显示。

∫−∞∞e−x2dx=π\int_{-\infty}^{\infty} e^{-x^2} dx = \sqrt{\pi}x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

复杂示例#

矩阵 (Matrices)#

(abcd)(αβγδ)=(aα+bγaβ+bδcα+dγcβ+dδ)\begin{pmatrix} a & b \\ c & d \end{pmatrix} \begin{pmatrix} \alpha & \beta \\ \gamma & \delta \end{pmatrix} = \begin{pmatrix} a\alpha + b\gamma & a\beta + b\delta \\ c\alpha + d\gamma & c\beta + d\delta \end{pmatrix}

极限与求和 (Limits and Sums)#

∑n=1∞1n2=π26\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{\pi^2}{6}lim⁡x→0sin⁡xx=1\lim_{x \to 0} \frac{\sin x}{x} = 1

麦克斯韦方程组 (Maxwell’s Equations)#

∇⋅E=ρε0∇⋅B=0∇×E=−∂B∂t∇×B=μ0J+μ0ε0∂E∂t\begin{aligned} \nabla \cdot \mathbf{E} &= \frac{\rho}{\varepsilon_0} \\ \nabla \cdot \mathbf{B} &= 0 \\ \nabla \times \mathbf{E} &= -\frac{\partial \mathbf{B}}{\partial t} \\ \nabla \times \mathbf{B} &= \mu_0\mathbf{J} + \mu_0\varepsilon_0\frac{\partial \mathbf{E}}{\partial t} \end{aligned}

化学方程式 (Chemical Equations)#

CHX4+2 OX2→COX2+2 HX2O\ce{CH4 + 2O2 -> CO2 + 2H2O}

更多符号#

符号代码渲染结果
Alpha\alphaα\alpha
Beta\betaβ\beta
Gamma\GammaΓ\Gamma
Pi\piπ\pi
Infinity\infty∞\infty
Right Arrow\rightarrow→\rightarrow
Partial\partial∂\partial

更多 KaTeX 语法请参考 KaTeX Supported Functions。

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KaTeX 数学公式示例
https://firefly.cuteleaf.cn/posts/katex-math-example/
Author
FXYZ
Published at
1970-01-02
License
CC BY-NC-SA 4.0
Last updated on 1970-01-02，20491 days ago

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