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# 原创
： 03-用Jupyter编写数学公式
# 03-用Jupyter编写数学公式
# 用jupyter编写数学公式
# Contents
## 两种数学模式
直接切入正题，毕竟我是在用Jupyter，不是LaTex。。。
```
$P(A \mid B) = \frac{ P(B \mid A) P(A) }{ P(B) }$
```
P
(
A
∣
B
)
=
P
(
B
∣
A
)
P
(
A
)
P
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B
)
P(A \mid B) = \frac{ P(B \mid A) P(A) }{ P(B) }
P(A∣B)=P(B)P(B∣A)P(A)​
```
贝叶斯公式：$$P(A \mid B) = \frac{ P(B \mid A) P(A) }{ P(B) }$$
```
贝叶斯公式：
P
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)
=
P
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B
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P
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P
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B
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P(A \mid B) = \frac{ P(B \mid A) P(A) }{ P(B) }
P(A∣B)=P(B)P(B∣A)P(A)​
## 空格
```
$$a\quad\a$$
```
KaTeX parse error: Expected 'EOF', got '\a' at position 7: a\quad\̲a̲
注意这个空格很奇葩，后面非要紧跟字符，否则没有效果，<s>另外，上一篇文章md是自动加空格的，写错了。</s>
在LaTeX中，符号之间的空格会被自动移除，通过 `\`, 或 `\:`或 `\;`添加空格，其空格宽度分别为从小到大。
`$$\intf(x) \; dx$$`
∫
f
(
x
)
&amp;ThickSpace;
d
x
\int f(x) \; dx
∫f(x)dx
## 上标和下标
`$$x^2$$`
x
2
x^2
x2
`$$e^2x$$`
e
2
x
e^2x
e2x
`$$e^{2x}$$`
e
2
x
e^{2x}
e2x<br/> `$$x_i$$`<br/>
x
i
x_i
xi​<br/> `$$_{10}C_5$$`<br/>
10
C
5
_{10}C_5
10​C5​<br/> `$$\underset{k}{argmax}$$`<br/>
a
r
g
m
a
x
k
\underset{k}{argmax}
kargmax​
## 命令
特定的符号和形式通过命令进行编写，每一个命令以反斜杠开始，一个命令名紧随其后。比如说，创建一个平方根的表达式 `$ \sqrt{2\pi} $$` 显示为
2
π
\sqrt{2\pi}
2π
​<br/> `$$\frac{a}{b}$$`<br/>
a
b
\frac{a}{b}
ba​
## 符号
`$$\alpha, \beta, \gamma$$`<br/>
α
,
β
,
γ
\alpha, \beta, \gamma
α,β,γ<br/> `$$\Phi, \Lambda, \Gamma$$`<br/>
Φ
,
Λ
,
Γ
\Phi, \Lambda, \Gamma
Φ,Λ,Γ<br/> `$$\times, \pm, \cup, \oplus$$`<br/>
×
,
±
,
∪
,
⊕
\times, \pm, \cup, \oplus
×,±,∪,⊕<br/> `$$\sin, \cosh, \arctan$$`<br/>
sin
⁡
,
cosh
⁡
,
arctan
⁡
\sin, \cosh, \arctan
sin,cosh,arctan<br/> `$$\leq, \geq, \approx, \neq$$`<br/>
≤
,
≥
,
≈
,
≠
\leq, \geq, \approx, \neq
≤,≥,≈,̸​=<br/> `$$\cdots, \ldots, \ddots$$`<br/>
⋯
&amp;ThinSpace;
,
…
,
⋱
\cdots, \ldots, \ddots
⋯,…,⋱<br/> `$$\infty, \nabla, \partial $$`<br/>
∞
,
∇
,
∂
\infty, \nabla, \partial
∞,∇,∂
## 头标
`$$\hat x$$`<br/>
x
^
\hat x
x^<br/> `$$\widehat{abs}$$`<br/>
a
b
s
^
\widehat{abs}
abs
<br/> `$$\bar x $$`<br/>
x
ˉ
\bar x
xˉ<br/> `$$\overline{abs}$$`<br/>
a
b
s
‾
\overline{abs}
abs<br/> `$$\dot x\quad\ddot x $$`<br/>
x
˙
x
¨
\dot x\quad\ddot x
x˙x¨<br/> `$$\vec{x}, \overrightarrow{AB}$$`<br/>
x
⃗
,
A
B
→
\vec{x}, \overrightarrow{AB}
x
,AB
## 括号
`$$z=(\frac{dx}{dy})^{1/3}$$`<br/>
z
=
(
d
x
d
y
)
1
/
3
z=(\frac{dx}{dy})^{1/3}
z=(dydx​)1/3<br/> `$$z=\left(\frac{dx}{dy}\right)^{1/3}$$`<br/>
z
=
(
d
x
d
y
)
1
/
3
z=\left(\frac{dx}{dy}\right)^{1/3}
z=(dydx​)1/3<br/> `$$ {\langle} {\phi} \mid {\psi} {\rangle} $$`<br/>
⟨
ϕ
∣
ψ
⟩
{\langle} {\phi} \mid {\psi} {\rangle}
⟨ϕ∣ψ⟩<br/> `$$ {\langle} {\phi} \vert {\psi} {\rangle} $$`<br/>
⟨
ϕ
∣
ψ
⟩
{\langle} {\phi} \vert {\psi} {\rangle}
⟨ϕ∣ψ⟩<br/> `$$\left[\begin{matrix}a &amp; b \cr c &amp; d\end{matrix}\right]$$`<br/>
[
a
b
c
d
]
\left[\begin{matrix}a &amp;amp; b \cr c &amp;amp; d\end{matrix}\right]
[ac​bd​]<br/> `$$\left\lgroup\begin{matrix}a &amp; b \cr c &amp; d\end{matrix}\right\rgroup$$`<br/>
⟮
a
b
c
d
⟯
\left\lgroup\begin{matrix}a &amp;amp; b \cr c &amp;amp; d\end{matrix}\right\rgroup
⎩⎪⎪⎧​ac​bd​⎭⎪⎪⎫​
## 字体及其选项
```
<code># 非斜体罗马文本
# 使用 \textrm{abcdefghijklmn123456}
# 或者 \rm{abcdefghijklmn123456}
</code>
```
abcdefghijklmn123456
\textrm{abcdefghijklmn123456}
abcdefghijklmn123456
```
<code># 斜体字母 \mathit{abcdefghijklmn123456}
</code>
```
a
b
c
d
e
f
g
h
i
j
k
l
m
n
123456
\mathit{abcdefghijklmn123456}
abcdefghijklmn123456
```
<code># Boldsymbol 字体加粗 \boldsymbol{A\cdot x}=\lambda\cdot v
</code>
```
A
⋅
x
=
λ
⋅
v
\boldsymbol{A\cdot x}=\lambda\cdot v
A⋅x=λ⋅v
## 转义字符’’
## 等式对齐
通过 \ 断开两个或多个等式，可实现等式中部对齐，例如：
```
$$
a_1=b_1+c_1 \\
a_2=b_2+c_2+d_2 \\
a_3=b_3+c_3
$$
```
a
1
=
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+
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=
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+
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a_1=b_1+c_1 \\ a_2=b_2+c_2+d_2 \\ a_3=b_3+c_3
a1​=b1​+c1​a2​=b2​+c2​+d2​a3​=b3​+c3​<br/> 左对齐：
```
$$\begin{aligned}
a_1&amp;=b_1+c_1 \\
a_2&amp;=b_2+c_2+d_2 \\
a_3&amp;=b_3+c_3
\end{aligned}$$
```
a
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=
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\begin{aligned} a_1&amp;amp;=b_1+c_1 \\ a_2&amp;amp;=b_2+c_2+d_2 \\ a_3&amp;amp;=b_3+c_3 \end{aligned}
a1​a2​a3​​=b1​+c1​=b2​+c2​+d2​=b3​+c3​​
## 分段函数
```
$$
sign(x)=
\begin{cases}
1,&amp;x&gt;0 \\
0,&amp;x=0 \\
-1,&amp;x&lt;0
\end{cases}
$$
```
s
i
g
n
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x
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=
{
1
,
x
&amp;gt;
0
0
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=
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−
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x
&amp;lt;
0
sign(x)= \begin{cases} 1,&amp;amp;x&amp;gt;0 \\ 0,&amp;amp;x=0 \\ -1,&amp;amp;x&amp;lt;0 \end{cases}
sign(x)=⎩⎪⎨⎪⎧​1,0,−1,​x&gt;0x=0x&lt;0​
`\\ 等价于 \cr，表示换行到新的 case。`
## 一点总结
`$$\sqrt[3]{a}$$`<br/>
a
3
\sqrt[3]{a}
3a
​<br/> `$$\overline{m+n}$$`<br/>
m
+
n
‾
\overline{m+n}
m+n​<br/> `$$\underline {m+n}$$`<br/>
m
+
n
‾
\underline {m+n}
m+n​
不知道为啥这个下划线需要加空格，否则报错。。。关于md和LaTex对于空格方面都是忽略，不同的是md会保留一个空格。
所以以后书写数学公式关键命令及语法前面还是要加空格，正如md标准语法中，每一种格式的结束都需要空一行，表示此语法格式结束，虽然有些md编辑器会容下这些细小的错误，但为保证统一，我们还是使用标准格式比较好。<br/> `$$\underbrace{a+b+\cdots+j}_{10}$$`<br/>
a
+
b
+
⋯
+
j
⎵
10
\underbrace{a+b+\cdots+j}_{10}
10
a+b+⋯+j​​<br/> `$$\overbrace{a+b+\cdots+j}^{10}$$`<br/>
a
+
b
+
⋯
+
j
⏞
10
\overbrace{a+b+\cdots+j}^{10}
a+b+⋯+j
​10​<br/> `$$\vec{AB}$$`<br/>
A
B
⃗
\vec{AB}
AB
<br/> `$$\overrightarrow{AB}$$`<br/>
A
B
→
\overrightarrow{AB}
AB
<br/> `$$\overleftarrow {AB}$$`<br/>
A
B
←
\overleftarrow {AB}
AB
<br/> `$$\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$`<br/>
−
b
±
b
2
−
4
a
c
2
a
\frac{-b\pm\sqrt{b^2-4ac}}{2a}
2a−b±b2−4ac
​​<br/> `$$\int_{0}^{\pi}{\tan x}$$`<br/>
∫
0
π
tan
⁡
x
\int_{0}^{\pi}{\tan x}
∫0π​tanx<br/> `$$\sum_{i=0}^{n}{i}$$`<br/>
∑
i
=
0
n
i
\sum_{i=0}^{n}{i}
i=0∑n​i<br/> `$$\prod_{i=1}^{9}{i}$$`<br/>
∏
i
=
1
9
i
\prod_{i=1}^{9}{i}
i=1∏9​i
## 附录1：数学符号表
>
要经常查看
## 附录2：参考书籍
Reference in New Issue View Git Blame Copy Permalink