latex公式
Use $\Sigma$ in different mode
- sum mode making-the-subscript-under-the-summation
- use color Using_colours_in_LaTeX
inline math
$\sum_{i=1}^{\infty}|x_i-y_i|$
$\sum_{i=1}^{\infty}|x_i-y_i|$
display math
$$
\sum_{i=1}^{\infty}|x_i-y_i|
$$
$$ \sum_{i=1}^{\infty}|x_i-y_i| $$
use \limits
$\sum\limits_{i=1}^{\infty}|x_i-y_i|$
$\sum\limits_{i=1}^{\infty}|x_i-y_i|$
use color
${\color{red}\eta}\frac{{\delta}L}{{\delta}W}|_{w=w^0}$
${\color{red}\eta}\frac{{\delta}L}{{\delta}W}|_{w=w^0}$
frac and sfrac
$ \frac{1}{2} = \sfrac{1}{2} $
$ \frac{1}{2} = \sfrac{1}{2} $
text and textcolor
$\textcolor{red}{\text{red curve}}\text{ will be}$
$\textcolor{red}{\text{red curve}}\text{ will be}$
cases
$$
\delta(x) =
\begin{cases}
g(x) > 0 & \text{Output = class 1} \cr
else & \text{Output = class 2}
\end{cases}
$$
$$
\delta(x) =
\begin{cases}
g(x) > 0 & \text{Output = class 1} \cr
else & \text{Output = class 2}
\end{cases}
$$
newline, space, align and tag
- new line use
\cror\\\\ - space use
\\,,\quad - align use
\begin{align},\end{align}and& - tag use
\tag{1}, or use ams automatic , equation-numbers - tag with ams automatic, will omit by
\notagor block symbol end with*, for example:\begin{align*},\end{align*} use \begin{align} and \end{align} instead of $$ or $
\begin{align}
x&=y & w &=z & a&=b+c \\\\
2x&=-y & 3w&=\frac{1}{2}z & a&=b \notag \cr
-4 + 5x&=2+y & w+2&=-1+w & a \quad b&=c\\,b\tag{xyz}
\end{align}
\begin{align} x&=y & w &=z & a&=b+c \\ 2x&=-y & 3w&=\frac{1}{2}z & a&=b \notag \cr -4 + 5x&=2+y & w+2&=-1+w & a \quad b&=c\,b\tag{xyz} \end{align}
\begin{align*}
x&=y & w &=z & a&=b+c \\\\
2x&=-y & 3w&=\frac{1}{2}z & a&=b \notag \cr
-4 + 5x&=2+y & w+2&=-1+w & a \quad b&=c\\,b\tag{xyz}
\end{align*}
\begin{align*} x&=y & w &=z & a&=b+c \\ 2x&=-y & 3w&=\frac{1}{2}z & a&=b \notag \cr -4 + 5x&=2+y & w+2&=-1+w & a \quad b&=c\,b\tag{xyz} \end{align*}
matrices
| Type | Latex markup | Render as |
|---|---|---|
| Plain | \begin{matrix}1 & 2 & 3\cr a & b & c \end{ matrix} | \begin{matrix} 1 & 2 & 3\cr a & b & c \end{matrix} |
| Parentheses; round brackets | \begin{pmatrix}1 & 2 & 3\cr a & b & c \end{ pmatrix} | \begin{pmatrix} 1 & 2 & 3\cr a & b & c \end{pmatrix} |
| Brackets; square brackets | \begin{bmatrix}1 & 2 & 3\cr a & b & c \end{ bmatrix} | \begin{bmatrix} 1 & 2 & 3\cr a & b & c \end{bmatrix} |
| Braces; curly brackets | \begin{Bmatrix}1 & 2 & 3\cr a & b & c \end{ Bmatrix} | \begin{Bmatrix} 1 & 2 & 3\cr a & b & c \end{Bmatrix} |
| Pipes | \begin{vmatrix}1 & 2 & 3\cr a & b & c \end{ vmatrix} | \begin{vmatrix} 1 & 2 & 3\cr a & b & c \end{vmatrix} |
| Double pipes | \begin{Vmatrix}1 & 2 & 3\cr a & b & c \end{ Vmatrix} | \begin{Vmatrix} 1 & 2 & 3\cr a & b & c \end{Vmatrix} |
block symbol: equation, split, multline, gather, align
equation
- equation can only include one equation
- or it will not render
\begin{equation}
x=y
\end{equation}
\begin{equation} x=y \end{equation}
\begin{equation}
x=y \cr y=b
\end{equation}
\begin{equation} x=y \cr y=b \end{equation}
split
- split can use with equation
- but the tag was only one
\begin{equation}
\begin{split}
x=y \cr y=b
\end{split}
\end{equation}
\begin{equation}
\begin{split}
x=y \cr y=b
\end{split}
\end{equation}
multline
- multline same as equation with split
- but with different align
\begin{multline}
x=y \cr y=b
\end{multline}
\begin{multline} x=y \cr y=b \end{multline}
gather
\begin{gather}
x=y \cr y=b
\end{gather}
\begin{gather} x=y \cr y=b \end{gather}
align
\begin{align}
x=y \cr y=b
\end{align}
\begin{align} x=y \cr y=b \end{align}