转载自https://blog.csdn.net/jzj_c_love/article/details/122279703
代码都可以在typora中运行,给出的图片链接语法是Ketax,可能有少数的不适用,但基本可以。
A_1^2
\\
B_{12}
\\
2^{x^2+y}
A12B122x2+y
$$
\frac{x}{1+x^2}
\\
\frac{\frac{1}{2}+x}{y}
\\
\tfrac{a}{b}
\frac{a}{b}
$$
1+x2xy21+xbaba
$$
\sqrt{x}
\sqrt[3]{x}
$$
x3x
$$
\binom{n}{k}
\tbinom{n}{k}
$$
(kn)(kn)
a′a′′a′
$$
x \pmod a
\\
2\mod{x}
$$
x(moda)2modx
$$
\int_{1}^{2}
\intop_{2}^{1}
\oint
\smallint
\\
\iint
\oiint
\iiint
\oiiint
$$
∫122∫1∮∫∬∬∭∭
$$
\nabla
\partial x
\mathrm{d}x
\dot x
\ddot y
\Delta
$$
∇∂xdxx˙y¨Δ
$$
\sum_{i=1}^{k}
\displaystyle\sum_{i=1}^n
\textstyle\sum_{i=1}^n
\\
\prod_{i=1}^{k}
\displaystyle\prod_{i=1}^n
\textstyle\prod_{i=1}^n
\\
\lim_{k \to \infty}
\lim\limits_{k \to \infty}
\lim\nolimits_{k \to \infty}]
$$
i=1∑ki=1∑n∑i=1n∏i=1ki=1∏n∏i=1nlimk→∞k→∞limlimk→∞]
\hat{\theta}
\widehat{AB}
\\
\bar{y}
\overline{AB}
\\
\tilde{a}
\widetilde{ac}
\\
\bar{a}
\acute{a}
\check{a}
\grave{a}
\\
\dot{a}
\ddot{a}
\\
\vec{a}
\overline{a}
\underline{a}
\underset{min}{a}
\\
\hat{a}
\widehat{a}
\\
\mathring{a}\dddot{a}
\\
\ddddot{a}
θ^AByˉABa~acaˉaˊaˇaˋa˙a¨aaaminaa^aa˚a...a....
$$
\overleftarrow{AB}
\overrightarrow{AB}
\overleftrightarrow{AB}
\\
\underleftarrow{AB}
\underrightarrow{AB}
\underleftrightarrow{AB}
\\
\overbrace{AB}
\underbrace{AB}
\\
\overline{AB}
\underline{AB}
$$
ABABABABABABABABABAB
$$
\overbrace{a+b+c}^{\text{note}}
\\
\underbrace{a+b+c}_{\text{note}}
\\
\boxed{\pi=3.14}
$$
a+b+cnotenotea+b+cπ=3.14
$$
(
\big(
\Big(
\bigg(
\Bigg(
$$
(((((
[]<>∣−2∣{}
$$
\lgroup x \rgroup
\lVert a \rVert
\lceil 2.6 \rceil
\lfloor 1.2 \rfloor
\ulcorner
\urcorner
\llcorner
\lrcorner
$$
⟮x⟯∥a∥⌈2.6⌉⌊1.2⌋┌┐└┘
mathnormalABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz1234567890
mathitABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz1234567890
##3、罗马体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\text{字母}
\bf{字母}
\mathit{字母}
\pmb{字母}
\cal{字母}
RACLRACLRACLRACLRACL
\tiny ABCabc
\small ABCabc
\normalsize ABCabc
\large ABCabc
\Large ABCabc
\huge ABCabc
\Huge ABCabc
{\tiny ABC} {\large ABC}
ABCabcABCabcABCabcABCabcABCabcABCabcABCabcABCABC
αβγδϵζηθικλμνξπρστυϕχψωΓΓγϝΔΔδϵεΘΘθϑκϰΞΞξΠΠπϖρϱΣΣσςΥΥυΦΦϕφΨΨψΩΩω


ℵℶℸℷ
\times
\div
\cdot
\%
\circ
\ast
\star
\otimes
\oplus
\odot
\oslash
\pm
\mp
\dotplus
\divideontimes
\textbackslash
×÷⋅%∘∗⋆⊗⊕⊙⊘±∓∔⋇\textbackslash
===<≮>≯≤≤≰≦≨⩽⪇≥≥≱≧≩⩾⪈≲⋦⪅⪉≳⋧⪆⪊≺⊀≻⊁⪯⋠⪵⪰⋡⪶∈∈/∋∋≪⋘≫⋙∼≁≃≅≆≈≡≐⊂⊆⊈⊊⫅⫋⊃⊇⊉⊋⫆⫌⌣⌢⊥⊨∣∤∣∥⊢⊬⊣⊨⊭⊪⊩⊮⊯∝⋈⋈⊲⋪⊴⋬⊳⋫⊵⋭
\in
\owns \not
\subset \not
\supset
\subseteq
\supseteq
\\
\cap
\cup
\land
\lor
\\
\neg
\emptyset
\varnothing
\\
\because
\forall
\exists
\therefore
\cap
\cup
\land
\lor
\sqcup
\sqcap
∈∋⊂⊃⊆⊇∩∪∧∨¬∅∅∵∀∃∴∩∪∧∨⊔⊓
\gets
\leftarrow
\to
\rightarrow
\leftrightarrow
\\
\uparrow
\downarrow
\updownarrow
\Leftarrow
\Rightarrow
\Leftrightarrow
\iff
\\
\Uparrow
\Downarrow
\Updownarrow
\nearrow
\searrow
\swarrow
\nwarrow
\longleftarrow
\longrightarrow
\longleftrightarrow
\Longleftarrow
\Longrightarrow
\Longleftrightarrow
\longmapsto
\xrightarrow{over}
\xrightarrow[over]{}
\xrightarrow[under]{over}
\xleftarrow[]{over}
\xleftarrow[under]{}
\xleftarrow[under]{over}
←←→→↔↑↓↕⇐⇒⇔⟺⇑⇓⇕↗↘↙↖⟵⟶⟷⟸⟹⟺⟼overoveroverunderoverunderoverunder
→↛⟶⇒⇏⟹←↚⟵⇐⇍⟸↔↮⇔⇎⟷⟺⟺↑↓↕⇑⇓↗↙↖↘⇀⇁↼↽↿⇃↾⇂⇌⇋↶↷↺↻↰↱⇈⇊⇇⇉
A\!B
\\
AB
\\
A\thinspace B
\\
A\:B
\\
A\ B
\\
A \enspace B
\\
A\quad B
\\
A\qquad B
ABABABABA BABABAB
A=
\begin{pmatrix}
a & b & \cdots & c \\
d & e & \cdots & f \\
\vdots & \vdots & \ddots & \vdots \\
g & h & \cdots & j
\end{pmatrix}
\tag{5.1}
A=ad⋮gbe⋮h⋯⋯⋱⋯cf⋮j(5.1)
A = \begin{matrix}
a & b\\
c & d
\end{matrix}
A=acbd
B = \begin{pmatrix}
a & b\\
c & d
\end{pmatrix}
B=acbd
C = \begin{vmatrix}
a & b\\
c & d
\end{vmatrix}
C=acbd
D = \begin{bmatrix}
a & b\\
c & d
\end{bmatrix}
D=acbd
E = \begin{Vmatrix}
a & b\\
c & d
\end{Vmatrix}
E=acbd
\begin{aligned}
f(x) &= (x+1)^2\\
&= x^2 + 2x + 1
\end{aligned}
f(x)=(x+1)2=x2+2x+1
f(x) = \begin{cases}
a &\text{if b}\\
b &\text{if a}\\
\end{cases}
f(x)=⎩⎨⎧abif bif a
\begin{cases}
\begin{aligned}
x + 2y &= 1\\
3x - y &= 5
\end{aligned}
\end{cases}
⎩⎨⎧x+2y3x−y=1=5
g(x,y)=\left\{
\begin{array}{rcl}
\frac{M_g - d}{M_f-b}[f(x,y)-b]+d & & {b \leq f(x,y) \leq M_f}\\
F^*_L & & {S_L \leq 0 < S_M}\\
F^*_R & & {S_M \leq 0 < S_R}\\
F_R & & {S_R \leq 0}
\end{array} \right.
g(x,y)=⎩⎨⎧Mf−bMg−d[f(x,y)−b]+dFL∗FR∗FRb≤f(x,y)≤MfSL≤0<SMSM≤0<SRSR≤0
九、修改字体大小
AB
\Huge AB
\huge AB
\\
AB
\LARGE AB
\Large AB
\large AB
\\
AB
\small AB
\tiny AB
ABABABABABABABABABAB
\cancel{5}
\bcancel{5}
\xcancel{ABC}
\not =
55ABC=
\Box
\square
\blacksquare
\triangle
\triangledown
\blacktriangle
\diamond
\Diamond
\star
\bigstar
\circ
\bullet
\bigcirc
\bigodot
\diamondsuit
\clubsuit
\heartsuit
\spadesuit
\angle
\measuredangle
\top
\bot
\infty
\checkmark
\dagger
\ddagger
\yen
\$
□□■△▽▲⋄◊⋆★∘∙◯⨀♢♣♡♠∠∡⊤⊥∞✓†‡¥$
对于一些复杂但是只有少许不同的表达式,可以声明一个函数来调用,提高源码的可读性,减少出错
\def\macroname#1#2{
your command
}
宏允许带任意数量的参数(也可以不带参),必须是#1,#2,……这样的命名格式,同时注意再定义宏的时候注意让#1与\中间隔一个空格,否则会解析成#。再调用的时候格式为\macroname{x}{y}{z},可以参考一下的例子
\def\Normal#1#2#3{
\frac{1}{\sqrt{2\pi}\ #3}\exp{[-\frac{(#1 - #2)^2}{2\ #3^2}]}
}
f(x)=\Normal{x}{u_1}{\sigma_1}\\
f(y)=\Normal{y}{u_2}{\sigma_2}\\
f(x)=2π σ11exp[−2 σ12(x−u1)2]f(y)=2π σ21exp[−2 σ22(y−u2)2]
\def\EXP{
e^x = 1 + x + \frac{1}{2!}x^2 + \frac{1}{3!}x^3 + \cdots
}
\EXP
ex=1+x+2!1x2+3!1x3+⋯
1、排版
公式居中:
E=mc2
添加标签:
cos\theta+isin\theta=e^{i\theta}\tag{1.1}
cosθ+isinθ=eiθ(1.1)
E=mc2
等号对齐:
\begin{align}f(x)=&x-1\\=&(x-1)(x^2+x+1)\end{align}\\
f(x)==x−1(x−1)(x2+x+1)
\begin{equation} \begin{split}
a &= b + c - d \\
&= e - f \\
&= g + h \\
&= i
\end{split} \end{equation}\\
a=b+c−d=e−f=g+h=i
2、公式加方框行号
a2=b2+c2−2bccosA
{ \bbox[#EFF]{\boxed{\text{求导数: }y=\sin^2\left(\frac1x\right)-2^x.}}}
\ldots \quad \cdots \quad \vdots \quad \ddots \quad \dotsc
…⋯⋮⋱…
3、 求和符号下多行限制条件
\prod_{k_0,k_1,\ldots>0\atop
k_0+k_1+\cdots=n}
{A_{k_0}A_{k_0}\cdots}
k0+k1+⋯=nk0,k1,…>0∏Ak0Ak0⋯
4、上下标记
\overline{x+y} \qquad \underline{a+b} \qquad \overbrace{1+2+\cdots+n}^{n个} \qquad \underbrace{a+b+\cdots+z}_{共有26个}
x+ya+b1+2+⋯+nn个共有26个a+b+⋯+z
5、显示长方程
\begin{multline}
p(x) = 3x^6 + 14x^5y + 590x^4y^2 + 19x^3y^3\\
- 12x^2y^4 - 12xy^5 + 2y^6 - a^3b^3
\end{multline}
\begin{multline} p(x) = 3x^6 + 14x^5y + 590x^4y^2 + 19x^3y^3\\ - 12x^2y^4 - 12xy^5 + 2y^6 - a^3b^3 \end{multline}
6、普通数学符号
ℏℓ℘ℜℑ∂∞′∅∇√⊤⊥∠△∀∃¬♭♮♯♣♢♡♠\‵ℏ∅△▲▽▼□■◊⧫Ⓢ®★∢∡∄∁℧ðℲ╱⅁╲k
7、其他符号
§…✓✠¥
8、可带上下限的数学算子巨型符号
∑∏∐∫∬∭\iiiint\idotsint∮⋃⋂⨄⨆⋁⋀⨀⨁⨂
9、LaTex二元运算符
◃▹△▽◀▶∧∧∨∨∩∪⊓⊔‡†⊎⨿⋄∙≀÷⊙⊘⊗⊕∓±∘◯∖⋅∗×⋆
10、AMS二元运算符
∔∖⊺⋒⋒⋓⋓⊼⊻⩞⊟⊡⊞⋉⋊⋇⋋⋌⋏⋎⋅⊝⊛⊚⊲⊴⊳⊵
11、其他
↓⏐∂↓⏐∂↓⏐∂↓⏐∂↓⏐∂Sq(X;G′)↓⏐∂↓⏐∂Sq−1(X;G′)↓⏐∂↓⏐∂ϕϕSq(X;G)Sq−1(X;G)ψψSq(X;G′′)Sq−1(X;G′′)
0G′ϕGψG′′0
∩ABCBC−3−1−1
⌊x⌋⌈x⌉±∓∔×÷ba⋇\⋅∗∘∙⊞⊟⊠⊡⊕⊖⊗⊘⊙⨁⨂⨀