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例子:
∑ni=0i2=(n2+n)(2n+1)6
求和公式(1):
求和公式(2):
使一对或者两对$号,可以用不同方式显示
大写 | 表达式 | 小写 | 表达式 |
---|---|---|---|
A | A | α | \alpha |
B | B | β | \beta |
Γ | \Gamma | γ | \gamma |
Δ | \Delta | δ | \delta |
E | E | ϵ | \epsilon |
ε | \varepsilon | ||
Z | Z | ζ | \zeta |
H | H | η | \eta |
Θ | \Theta | θ | \theta |
I | I | ι | \iota |
K | K | κ | \kappa |
Λ | \Lambda | λ | \lambda |
M | M | μ | \mu |
N | N | ν | \nu |
Ξ | \Xi | ξ | \xi |
O | O | ο | \omicron |
Π | \Pi | π | \pi |
P | P | ρ | \rho |
Σ | \Sigma | σ | \sigma |
T | T | τ | \tau |
Υ | \Upsilon | υ | \upsilon |
Φ | \Phi | ϕ | \phi |
φ φ | \varphi | ||
X | X | χ | \chi |
Ψ | \Psi | ψ | \psi |
Ω | \Omega | ω | \omega |
\ell | |||
\mathcal{E} | |||
\varepsilon{E} |
表达式 | 代码 |
---|---|
\frac{7x+5}{1+y^2} | |
z=z_l | |
\cdots | |
\sqrt{2};\sqrt[n]{3} | |
\vec{a} \cdot \vec{b}=0 | |
\int ^2_3 x^2 {\rm d}x | |
\lim_{n\rightarrow+\infty} n | |
| 加双$$ |
\sum \frac{1}{i^2} | |
\prod \frac{1}{i^2} | |
\sin | |
\cos | |
\tan | |
\ln15 | |
\log_2 10 | |
\lg7 | |
\pm | |
\mp | |
\times | |
\div | |
\sum | |
\int | |
\iint | |
\prod | |
\neq | |
\leq | |
\geq | |
\lt | |
\gt | |
\not \lt | |
\star | |
\ast | |
\oplus | |
\circ | |
\bullet | |
\bigcup | |
\bigcap |
表达式 | 代码 |
---|---|
\sum_{i=0}^n i^2 = \frac{(n^2+n)(2n+1)}{6} | |
{x^y}^z | |
x^{y^z} | |
x_i^2 | |
x_{i^2} | |
\frac ab | |
()[] | |
\{ and \} | |
\frac{\sqrt x}{y^3} | |
\left (\frac{\sqrt x}{y^3} \right) | |
\Biggl(\biggl(\Bigl(\bigl((x)\bigr)\Bigr)\biggr)\Biggr) | |
\vert | |
\sum_{i=0}^\infty i^2 | |
{a+1\over b+1} | |
\mathbb | \mathbb |
\Bbb | \Bbb |
\mathbf | \mathbf,\mathcal,\mathtt,\mathscr,\mathfrak |
{…}^{1/2} | |
| \lim_{x\to 0} |
{n+1 \choose 2k},\binom{n+1}{2k} |
表达式 | 代码 |
---|---|
\cup | |
\cap | |
\setminus | |
\subset | |
\subseteq | |
\subsetneq | |
\supset | |
\in | |
\notin | |
\emptyset | |
\varnothing |
表达式 | 代码 |
---|---|
\to | |
\rightarrow | |
\leftarrow | |
\Rightarrow | |
\Leftarrow | |
\mapsto | |
\land | |
\lor | |
\lnot | |
\forall | |
\exists | |
\top | |
\bot | |
\vdash | |
\vDash | |
\approx | |
\sim | |
\simeq | |
\cong | |
\equiv | |
\prec | |
\lhd | |
\infty \aleph_0 | |
\infty | |
\nabla | |
\partial | |
\Im | |
\Re | |
a\equiv b\pmod n | |
\hat{d} | |
\widehat{x} | |
\bar{x} | |
\overline{xy} | |
\vec{x} | |
\overrightarrow{xyz} | |
\overleftrightarrow{xy} | |
\mathrm{B} | |
\operatorname{Spec} | |
_5C_3 |
$$
\begin{matrix}
1 & x & x^2 \\
1 & y & y^2 \\
1 & z & z^2 \\
\end{matrix}
$$
$$
\begin{pmatrix}
1 & x & x^2 \\
1 & y & y^2 \\
1 & z & z^2 \\
\end{pmatrix}
$$
$$
\begin{bmatrix}
1 & x & x^2 \\
1 & y & y^2 \\
1 & z & z^2 \\
\end{bmatrix}
$$
$$
\begin{Bmatrix}
1 & x & x^2 \\
1 & y & y^2 \\
1 & z & z^2 \\
\end{Bmatrix}
$$
$$
\begin{vmatrix}
\cdots & x & x^2 \\
\ddots & y & y^2 \\
1 & \vdots & z^2 \\
\end{vmatrix}
$$
$$
\begin{Vmatrix}
1 & x & x^2 \\
1 & y & y^2 \\
1 & z & z^2 \\
\end{Vmatrix}
$$
\begin{array}{cc|c}
1&2&3\\
4&5&6
\end{array}
\begin{align}
\sqrt{37} & = \sqrt{\frac{73^2-1}{12^2}} \\
& = \sqrt{\frac{73^2}{12^2}\cdot\frac{73^2-1}{73^2}} \\
& = \sqrt{\frac{73^2}{12^2}}\sqrt{\frac{73^2-1}{73^2}} \\
& = \frac{73}{12}\sqrt{1 - \frac{1}{73^2}} \\
& \approx \frac{73}{12}\left(1 - \frac{1}{2\cdot73^2}\right)
\end{align}
$$f(n) =
\begin{cases}
n/2, & \text{if $n$ is even} \\
3n+1, & \text{if $n$ is odd}
\end{cases}
$$
$$
\left.
\begin{array}{l}
\text{if $n$ is even:}&n/2\\
\text{if $n$ is odd:}&3n+1
\end{array}
\right\}
=f(n)
$$
$$
f(n) =
\begin{cases}
\frac{n}{2}, & \text{if $n$ is even} \\[2ex]
3n+1, & \text{if $n$ is odd}
\end{cases}
$$
$$
\begin{array}{c|lcr}
n & \text{Left} & \text{Center} & \text{Right} \\
\hline
1 & 0.24 & 1 & 125 \\
2 & -1 & 189 & -8 \\
3 & -20 & 2000 & 1+10i
\end{array}
$$
\begin{array}{ll} \hfill\mathrm{Bad}\hfill & \hfill\mathrm{Better}\hfill \\ \hline \\ e^{i\frac{\pi}2} \quad e^{\frac{i\pi}2}& e^{i\pi/2} \\ \int_{-\frac\pi2}^\frac\pi2 \sin x\,dx & \int_{-\pi/2}^{\pi/2}\sin x\,dx \\ \end{array}
\begin{array}{cc}
\mathrm{Bad} & \mathrm{Better} \\
\hline \\
\{x|x^2\in\Bbb Z\} & \{x\mid x^2\in\Bbb Z\} \\
\end{array}
\begin{array}{cc}
\mathrm{Bad} & \mathrm{Better} \\
\hline \\
\int\int_S f(x)\,dy\,dx & \iint_S f(x)\,dy\,dx \\
\int\int\int_V f(x)\,dz\,dy\,dx & \iiint_V f(x)\,dz\,dy\,dx
\end{array}
$$\left\{x\middle | \frac{x^2}{2} \in \mathbb{z}\right\}$$
\begin{array}{|rc|}
\hline
\verb+\color{black}{text}+ & \color{black}{text} \\
\verb+\color{gray}{text}+ & \color{gray}{text} \\
\verb+\color{silver}{text}+ & \color{silver}{text} \\
\verb+\color{white}{text}+ & \color{white}{text} \\
\hline
\verb+\color{maroon}{text}+ & \color{maroon}{text} \\
\verb+\color{red}{text}+ & \color{red}{text} \\
\verb+\color{yellow}{text}+ & \color{yellow}{text} \\
\verb+\color{lime}{text}+ & \color{lime}{text} \\
\verb+\color{olive}{text}+ & \color{olive}{text} \\
\verb+\color{green}{text}+ & \color{green}{text} \\
\verb+\color{teal}{text}+ & \color{teal}{text} \\
\verb+\color{aqua}{text}+ & \color{aqua}{text} \\
\verb+\color{blue}{text}+ & \color{blue}{text} \\
\verb+\color{navy}{text}+ & \color{navy}{text} \\
\verb+\color{purple}{text}+ & \color{purple}{text} \\
\verb+\color{fuchsia}{text}+ & \color{magenta}{text} \\
\hline
\end{array}
[引用文献][1]
[1]: https://math.meta.stackexchange.com/questions/5020/mathjax-basic-tutorial-and-quick-reference
[2]:http://blog.csdn.net/zdk930519/article/details/54137476
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