LaTeX数学公式范例

2024-06-15

字数统计: 645字 | 阅读时长: 3分

一、常见数学公式范例

行内公式

$E=mc^2$ => $E=mc^2$
$c=\pm\sqrt{a^2+b^2}$ => $c=\pm\sqrt{a^2+b^2}$
$x>y$ => $x>y$
$f(x)=x^2$ => $f(x)=x^2$
$\alpha=\sqrt{1-e^2}$ => $\alpha=\sqrt{1-e^2}$
$(\sqrt{3x-1}+(1+x)^2)$ => $(\sqrt{3x-1}+(1+x)^2)$
$\sin(\alpha)^\theta=\sum_{i=0}^n(x^i+\cos(f))$ => $\sin(\alpha)^\theta=\sum_{i=0}^n(x^i+\cos(f))$
$\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$ => $\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$
$f(x)=\int_{-\infty}^{\infty}f\hat(\xi)e^{2\pi i \xi x}\,d\xi$ => $f(x)=\int_{-\infty}^{\infty}f\hat(\xi)e^{2\pi i \xi x}\,d\xi$
$\frac{1}{(\sqrt{\phi\sqrt{5}}-\phi)e^{\frac{2}{5}\pi}} = 1+\frac{e^{-2\pi}}{1+\frac{e^{-4\pi}}{1+\frac{e^{-6\pi}}{1+\frac{e^{-8\pi}}{1+\cdots}}}}$ => $\frac{1}{(\sqrt{\phi\sqrt{5}}-\phi)e^{\frac{2}{5}\pi}} = 1+\frac{e^{-2\pi}}{1+\frac{e^{-4\pi}}{1+\frac{e^{-6\pi}}{1+\frac{e^{-8\pi}}{1+\cdots}}}}$
$\displaystyle\left(\sum_{k=1}^na_kb_k\right)^2\leq\left(\sum_{k=1}^{n}a_k^2\right)\left(\sum_{k=1}^{n}b_k^2\right)$ => $\displaystyle\left(\sum{k=1}^na_kb_k\right)^2\leq\left(\sum{k=1}^{n}ak^2\right)\left(\sum{k=1}^{n}b_k^2\right)$
$a^2$ => $a^2$
$a^{2+2}$ => $a^{2+2}$
$a_2$ => $a_2$
$x_2^3$ => $x_2^3$
${x_2}^3$ => ${x_2}^3$
$10^{10^{10}}$ => $10^{10^{10}}$
$a_{i,j}$ => $a_{i,j}$
$_nP_k$ => $_nP_k$
$c=\pm\sqrt{a^2+b^2}$ => $c=\pm\sqrt{a^2+b^2}$
$\frac{1}{2}=0.5$ => $\frac{1}{2}=0.5$
$\dfrac{k}{k-1}=0.5$ => $\dfrac{k}{k-1}=0.5$
$(_k^n) \dbinom{n}{k} \binom{n}{k}$ => $(_k^n) \dbinom{n}{k} \binom{n}{k}$
$\oint_Cx^3\,dx+4y^2\,dy$ => $\oint_Cx^3\,dx+4y^2\,dy$
$\bigcap_1^np\bigcup_1^kp$ => $\bigcap_1^np\bigcup_1^kp$
$e^{i\pi}+1=0$ => $e^{i\pi}+1=0$
$(\frac{1}{2})$ => $(\frac{1}{2})$
$x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ => $x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$
$x^2+2x-1$ => $x^2+2x-1$
$\sum_{k=1}^{N}k^2$ => $\sum_{k=1}^{N}k^2$
$\frac{\frac{1}{2}[1-(\frac{1}{2})^n]}{1-\frac{1}{2}}=s_n$ => $\frac{\frac{1}{2}[1-(\frac{1}{2})^n]}{1-\frac{1}{2}}=s_n$
$\binom{n}{k}$ => $\binom{n}{k}$
$0+1+2+\cdots$ => $0+1+2+\cdots$
$\sum_{k=1}^{N}k^2$ => $\sum_{k=1}^{N}k^2$
$\textstyle \sum_{k=1}^{N}k^2$ => $\textstyle \sum_{k=1}^{N}k^2$
$\displaystyle \sum_{k=1}^{N}k^2$ => $\displaystyle \sum_{k=1}^{N}k^2$
$\prod_{i=1}^{N}x_i$ => $\prod_{i=1}^{N}x_i$
$\coprod_{i=1}^{N}x_i$ => $\coprod_{i=1}^{N}x_i$
$\int_{1}^{3}\frac{e^3/x}{x^2}\,dx$ => $\int_{1}^{3}\frac{e^3/x}{x^2}\,dx$
$\int_Cx^3\,dx+4y^2\,dy$ => $\int_Cx^3\,dx+4y^2\,dy$
${}_1^2\!\Omega_3^4$ => ${}_1^2!\Omega_3^4$
L_2=\sqrt{x\div2} => $L_2=\sqrt{x\div2}$
\% => $\%$
\infty => $\infty$

二、参考资料

GitHub:https://pandao.github.io/editor.md/examples/katex.html
公式手册:https://www.cnblogs.com/1024th/p/11623258.html

本文作者： killf
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