Typora中常用的数学公式

快来打我* 2022-09-16 03:44 339阅读 0赞

## 1.插入位置 ##

### **1.1行间公式**(inline) ###

用`$...$`将公式括起来。

### 1.2**块间公式**(displayed) ###

用`$$...$$`将公式括起来是无编号的形式，块间元素默认是居中显示的。

## 2.**各类希腊字母编辑表** ##

<table> 
 <thead> 
 <tr> 
 <th align="center">大写</th> 
 <th align="center">Markdown</th> 
 <th align="center">小写</th> 
 <th align="center">Markdown</th> 
 </tr> 
 </thead> 
 <tbody> 
 <tr> 
 <td align="center">A</td> 
 <td align="center">A</td> 
 <td align="center">α</td> 
 <td align="center">\alpha</td> 
 </tr> 
 <tr> 
 <td align="center">B</td> 
 <td align="center">B</td> 
 <td align="center">β</td> 
 <td align="center">\beta</td> 
 </tr> 
 <tr> 
 <td align="center">Γ</td> 
 <td align="center">\Gamma</td> 
 <td align="center">γ</td> 
 <td align="center">\gamma</td> 
 </tr> 
 <tr> 
 <td align="center">Δ</td> 
 <td align="center">\Delta</td> 
 <td align="center">δ</td> 
 <td align="center">\delta</td> 
 </tr> 
 <tr> 
 <td align="center">E</td> 
 <td align="center">E</td> 
 <td align="center">ϵ</td> 
 <td align="center">\epsilon</td> 
 </tr> 
 <tr> 
 <td align="center">ε</td> 
 <td align="center">\varepsilon</td> 
 <td align="center"></td> 
 <td align="center"></td> 
 </tr> 
 <tr> 
 <td align="center">Z</td> 
 <td align="center">Z</td> 
 <td align="center">ζ</td> 
 <td align="center">\zeta</td> 
 </tr> 
 <tr> 
 <td align="center">H</td> 
 <td align="center">H</td> 
 <td align="center">η</td> 
 <td align="center">\eta</td> 
 </tr> 
 <tr> 
 <td align="center">Θ</td> 
 <td align="center">\Theta</td> 
 <td align="center">θ</td> 
 <td align="center">\theta</td> 
 </tr> 
 <tr> 
 <td align="center">I</td> 
 <td align="center">I</td> 
 <td align="center">ι</td> 
 <td align="center">\iota</td> 
 </tr> 
 <tr> 
 <td align="center">K</td> 
 <td align="center">K</td> 
 <td align="center">κ</td> 
 <td align="center">\kappa</td> 
 </tr> 
 <tr> 
 <td align="center">Λ</td> 
 <td align="center">\Lambda</td> 
 <td align="center">λ</td> 
 <td align="center">\lambda</td> 
 </tr> 
 <tr> 
 <td align="center">M</td> 
 <td align="center">M</td> 
 <td align="center">μ</td> 
 <td align="center">\mu</td> 
 </tr> 
 <tr> 
 <td align="center">N</td> 
 <td align="center">N</td> 
 <td align="center">ν</td> 
 <td align="center">\nu</td> 
 </tr> 
 <tr> 
 <td align="center">Ξ</td> 
 <td align="center">\Xi</td> 
 <td align="center">ξ</td> 
 <td align="center">\xi</td> 
 </tr> 
 <tr> 
 <td align="center">O</td> 
 <td align="center">O</td> 
 <td align="center">ο</td> 
 <td align="center">\omicron</td> 
 </tr> 
 <tr> 
 <td align="center">Π</td> 
 <td align="center">\Pi</td> 
 <td align="center">π</td> 
 <td align="center">\pi</td> 
 </tr> 
 <tr> 
 <td align="center">P</td> 
 <td align="center">P</td> 
 <td align="center">ρ</td> 
 <td align="center">\rho</td> 
 </tr> 
 <tr> 
 <td align="center">Σ</td> 
 <td align="center">\Sigma</td> 
 <td align="center">σ</td> 
 <td align="center">\sigma</td> 
 </tr> 
 <tr> 
 <td align="center">T</td> 
 <td align="center">T</td> 
 <td align="center">τ</td> 
 <td align="center">\tau</td> 
 </tr> 
 <tr> 
 <td align="center">Υ</td> 
 <td align="center">\Upsilon</td> 
 <td align="center">υ</td> 
 <td align="center">\upsilon</td> 
 </tr> 
 <tr> 
 <td align="center">Φ</td> 
 <td align="center">\Phi</td> 
 <td align="center">ϕ</td> 
 <td align="center">\phi</td> 
 </tr> 
 <tr> 
 <td align="center">φ</td> 
 <td align="center">\varphi</td> 
 <td align="center"></td> 
 <td align="center"></td> 
 </tr> 
 <tr> 
 <td align="center">X</td> 
 <td align="center">X</td> 
 <td align="center">χ</td> 
 <td align="center">\chi</td> 
 </tr> 
 <tr> 
 <td align="center">Ψ</td> 
 <td align="center">\Psi</td> 
 <td align="center">ψ</td> 
 <td align="center">\psi</td> 
 </tr> 
 <tr> 
 <td align="center">Ω</td> 
 <td align="center">\Omega</td> 
 <td align="center">ω</td> 
 <td align="center">\omega</td> 
 </tr> 
 </tbody> 
</table>

## 3.常用公式代码 ##

<table> 
 <thead> 
 <tr> 
 <th align="center"></th> 
 <th align="center">算式</th> 
 <th align="center">markdown</th> 
 </tr> 
 </thead> 
 <tbody> 
 <tr> 
 <td align="center">上标</td> 
 <td align="center"> x 2 x^2 x2</td> 
 <td align="center">x^2</td> 
 </tr> 
 <tr> 
 <td align="center">下标</td> 
 <td align="center"> y 1 y _1 y1</td> 
 <td align="center">y _1</td> 
 </tr> 
 <tr> 
 <td align="center">除法</td> 
 <td align="center"> 1 2 \frac{1}{2} 21</td> 
 <td align="center">\frac{1}{2}</td> 
 </tr> 
 <tr> 
 <td align="center">省略号</td> 
 <td align="center"> ⋯ \cdots ⋯</td> 
 <td align="center">\cdots</td> 
 </tr> 
 <tr> 
 <td align="center">开根号</td> 
 <td align="center"> 2 \sqrt{2} 2 </td> 
 <td align="center">\sqrt{2}</td> 
 </tr> 
 <tr> 
 <td align="center">积分</td> 
 <td align="center"> ∫ x d x \int{x}dx ∫xdx</td> 
 <td align="center">\int{x}dx</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ∫ 1 2 x d x \int_{1}^{2}{x}dx ∫12xdx</td> 
 <td align="center">\int_{1}^{2}{x}dx</td> 
 </tr> 
 <tr> 
 <td align="center">矢量</td> 
 <td align="center"> a ⃗ \vec{a} a </td> 
 <td align="center">\vec{a}</td> 
 </tr> 
 <tr> 
 <td align="center">极限</td> 
 <td align="center"> lim ⁡ a + b \lim{a+b} lima+b</td> 
 <td align="center">\lim{a+b}</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> lim ⁡ n → + ∞ \lim_{n\rightarrow+\infty} limn→+∞</td> 
 <td align="center">\lim_{n\rightarrow+\infty}</td> 
 </tr> 
 <tr> 
 <td align="center">累加</td> 
 <td align="center"> ∑ j = 0 n θ j x j \sum_{j=0} ^n \theta_j x_j ∑j=0nθjxj</td> 
 <td align="center">\sum_{j=0} ^n \theta_j x_j</td> 
 </tr> 
 <tr> 
 <td align="center">累乘</td> 
 <td align="center"> ∏ x \prod{x} ∏x</td> 
 <td align="center">\prod{x}</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ∏ n = 1 99 x n \prod_{n=1}^{99}{x_n} ∏n=199xn</td> 
 <td align="center">\prod_{n=1}^{99}{x_n}</td> 
 </tr> 
 <tr> 
 <td align="center">三角运算符</td> 
 <td align="center"> ⊥ \bot ⊥</td> 
 <td align="center">\bot</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ∠ \angle ∠</td> 
 <td align="center">\angle</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> sin ⁡ \sin sin</td> 
 <td align="center">\sin</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> cos ⁡ \cos cos</td> 
 <td align="center">\cos</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> tan ⁡ \tan tan</td> 
 <td align="center">\tan</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> sec ⁡ \sec sec</td> 
 <td align="center">\sec</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> csc ⁡ \csc csc</td> 
 <td align="center">\csc</td> 
 </tr> 
 <tr> 
 <td align="center">对数运算符</td> 
 <td align="center"> ln ⁡ 2 \ln2 ln2</td> 
 <td align="center">\ln2</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> log ⁡ 2 8 \log_28 log28</td> 
 <td align="center">\log_28</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> lg ⁡ 10 \lg10 lg10</td> 
 <td align="center">\lg10</td> 
 </tr> 
 <tr> 
 <td align="center">关系运算符</td> 
 <td align="center"> ± \pm ±</td> 
 <td align="center">\pm</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> × \times ×</td> 
 <td align="center">\times</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ⋅ \cdot ⋅</td> 
 <td align="center">\cdot</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ÷ \div ÷</td> 
 <td align="center">\div</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ⨀ \bigodot ⨀</td> 
 <td align="center">\bigodot</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ⨂ \bigotimes ⨂</td> 
 <td align="center">\bigotimes</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ⨁ \bigoplus ⨁</td> 
 <td align="center">\bigoplus</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ≈ \approx ≈</td> 
 <td align="center">\approx</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ≠ \neq =</td> 
 <td align="center">\neq</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ≡ \equiv ≡</td> 
 <td align="center">\equiv</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ≤ \leq ≤</td> 
 <td align="center">\leq</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ≥ \geq ≥</td> 
 <td align="center">\geq</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ∑ \sum ∑</td> 
 <td align="center">\sum</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ∏ \prod ∏</td> 
 <td align="center">\prod</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ∐ \coprod ∐</td> 
 <td align="center">\coprod</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ∣ \mid ∣</td> 
 <td align="center">\mid</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ∤ \nmid ∤</td> 
 <td align="center">\nmid</td> 
 </tr> 
 <tr> 
 <td align="center">集合运算符</td> 
 <td align="center"> ∅ \emptyset ∅</td> 
 <td align="center">\emptyset</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ∈ \in ∈</td> 
 <td align="center">\in</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ∉ \notin ∈/</td> 
 <td align="center">\notin</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ⊂ \subset ⊂</td> 
 <td align="center">\subset</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ⊃ \supset ⊃</td> 
 <td align="center">\supset</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ⊆ \subseteq ⊆</td> 
 <td align="center">\subseteq</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ⊇ \supseteq ⊇</td> 
 <td align="center">\supseteq</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ⋂ \bigcap ⋂</td> 
 <td align="center">\bigcap</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ⋃ \bigcup ⋃</td> 
 <td align="center">\bigcup</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ⋁ \bigvee ⋁</td> 
 <td align="center">\bigvee</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ⋀ \bigwedge ⋀</td> 
 <td align="center">\bigwedge</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ⨄ \biguplus ⨄</td> 
 <td align="center">\biguplus</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ⨆ \bigsqcup ⨆</td> 
 <td align="center">\bigsqcup</td> 
 </tr> 
 <tr> 
 <td align="center">微积分运算符</td> 
 <td align="center"> ∫ \int ∫</td> 
 <td align="center">\int</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ∬ \iint ∬</td> 
 <td align="center">\iint</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ∭ \iiint ∭</td> 
 <td align="center">\iiint</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ∮ \oint ∮</td> 
 <td align="center">\oint</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ∞ \infty ∞</td> 
 <td align="center">\infty</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ∇ \nabla ∇</td> 
 <td align="center">\nabla</td> 
 </tr> 
 <tr> 
 <td align="center">逻辑运算符</td> 
 <td align="center"> ∵ \because ∵</td> 
 <td align="center">\because</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ∴ \therefore ∴</td> 
 <td align="center">\therefore</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ∃ \exists ∃</td> 
 <td align="center">\exists</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ∀ \forall ∀</td> 
 <td align="center">\forall</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ⊄ \not\subset ⊂</td> 
 <td align="center">\not\subset</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> ∅ \emptyset ∅</td> 
 <td align="center">\emptyset</td> 
 </tr> 
 <tr> 
 <td align="center">戴帽运算符</td> 
 <td align="center"> x ^ \hat{x} x^</td> 
 <td align="center">\hat{x}</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> x ˇ \check{x} xˇ</td> 
 <td align="center">\check{x}</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> x ˘ \breve{x} x˘</td> 
 <td align="center">\breve{x}</td> 
 </tr> 
 <tr> 
 <td align="center">连线符号</td> 
 <td align="center"> a + b + c + d ‾ \overline{a+b+c+d} a+b+c+d</td> 
 <td align="center">\overline{a+b+c+d}</td> 
 </tr> 
 <tr> 
 <td align="center"></td> 
 <td align="center"> a + b + c ⏟ m + d ⏞ n \overbrace{a+\underbrace{b+c}{m}+d}^{n} a+ b+cm+d n</td> 
 <td align="center">\overbrace{a+\underbrace{b+c}{m}+d}^{n}</td> 
 </tr> 
 <tr> 
 <td align="center">空格</td> 
 <td align="center"> \quad </td> 
 <td align="center">\quad</td> 
 </tr> 
 </tbody> 
</table>

## 4.特殊公式 ##

**字符下标：**

\max \limits_{a<x<b}\{f(x)\}

max ⁡ a < x < b \{ f ( x ) \} \\max \\limits\_\{a<x<b\}\\\{f(x)\\\} a<x<bmax\{ f(x)\}

**方程式:**

c(x) =
    		\begin{cases} 
    				\sqrt\frac{1}{M}，x=0\\ 
    				\sqrt\frac{5}{M}， x\neq0
    		\end{cases}

c ( x ) = \{ 1 M ， x = 0 5 M ， x ≠ 0 c(x) = \\begin\{cases\} \\sqrt\\frac\{1\}\{M\}，x=0\\\\ \\sqrt\\frac\{5\}\{M\}， x\\neq0 \\end\{cases\} c(x)=⎩⎨⎧M1，x=0M5，x=0

**行列式：**

\begin{matrix}
    	1 & x & x^2\\
    	1 & y & y^2\\
    	1 & z & z^2\\
    	\end{matrix}

1 x x 2 1 y y 2 1 z z 2 \\begin\{matrix\} 1 & x & x^2\\\\ 1 & y & y^2\\\\ 1 & z & z^2\\\\ \\end\{matrix\} 111xyzx2y2z2

**矩阵：**  
在起始、结束标记处用下列词替换 matrix

*  pmatrix ：小括号边框
 *  bmatrix ：中括号边框
 *  Bmatrix ：大括号边框
 *  vmatrix ：单竖线边框
 *  Vmatrix ：双竖线边框
 *  横省略号：\\cdots
 *  竖省略号：\\vdots
 *  斜省略号：\\ddots

X=\left|
    	\begin{matrix}
    		x_{11} & x_{12} & \cdots & x_{1n}\\
    		x_{21} & x_{22} & \cdots & x_{2n}\\
    		\vdots & \vdots & \ddots & \vdots \\
    		x_{11} & x_{12} & \cdots & x_{1n}\\
    	\end{matrix}
    \right|

X = ∣ x 11 x 12 ⋯ x 1 n x 21 x 22 ⋯ x 2 n ⋮ ⋮ ⋱ ⋮ x 11 x 12 ⋯ x 1 n ∣ X=\\left| \\begin\{matrix\} x\_\{11\} & x\_\{12\} & \\cdots & x\_\{1n\}\\\\ x\_\{21\} & x\_\{22\} & \\cdots & x\_\{2n\}\\\\ \\vdots & \\vdots & \\ddots & \\vdots \\\\ x\_\{11\} & x\_\{12\} & \\cdots & x\_\{1n\}\\\\ \\end\{matrix\} \\right| X=∣∣∣∣∣∣∣∣∣x11x21⋮x11x12x22⋮x12⋯⋯⋱⋯x1nx2n⋮x1n∣∣∣∣∣∣∣∣∣

## 5.常用公式 ##

**线性模型**

h(\theta) = \sum_{j=0} ^n \theta_j x_j

h ( θ ) = ∑ j = 0 n θ j x j h(\\theta) = \\sum\_\{j=0\} ^n \\theta\_j x\_j h(θ)=j=0∑nθjxj

**均方误差**

J(\theta) = \frac{1}{2m}\sum_{i=0}^m(y^i - h_\theta(x^i))^2

J ( θ ) = 1 2 m ∑ i = 0 m ( y i − h θ ( x i ) ) 2 J(\\theta) = \\frac\{1\}\{2m\}\\sum\_\{i=0\}^m(y^i - h\_\\theta(x^i))^2 J(θ)=2m1i=0∑m(yi−hθ(xi))2

**求积公式**

H_c=\sum_{l_1+\dots +l_p}\prod^p_{i=1} \binom{n_i}{l_i}

H c = ∑ l 1 + ⋯ + l p ∏ i = 1 p ( n i l i ) H\_c=\\sum\_\{l\_1+\\dots +l\_p\}\\prod^p\_\{i=1\} \\binom\{n\_i\}\{l\_i\} Hc=l1\+⋯\+lp∑i=1∏p(lini)

**批梯度下降公式**

\frac{\partial J(\theta)}{\partial\theta_j} = -\frac1m\sum_{i=0}^m(y^i - 	h_\theta(x^i))x^i_j

∂ J ( θ ) ∂ θ j = − 1 m ∑ i = 0 m ( y i − h θ ( x i ) ) x j i \\frac\{\\partial J(\\theta)\}\{\\partial\\theta\_j\} = -\\frac1m\\sum\_\{i=0\}^m(y^i - h\_\\theta(x^i))x^i\_j ∂θj∂J(θ)=−m1i=0∑m(yi−hθ(xi))xji

## 6.特殊字符 ##

**箭头**

<table> 
 <thead> 
 <tr> 
 <th align="center"> ← \leftarrow ←</th> 
 <th align="center">\leftarrow</th> 
 <th align="center"> ⟵ \longleftarrow ⟵</th> 
 <th align="center">\longleftarrow</th> 
 </tr> 
 </thead> 
 <tbody> 
 <tr> 
 <td align="center"> → \rightarrow →</td> 
 <td align="center">\rightarrow</td> 
 <td align="center"> ⟶ \longrightarrow ⟶</td> 
 <td align="center">\longrightarrow</td> 
 </tr> 
 <tr> 
 <td align="center"> ↔ \leftrightarrow ↔</td> 
 <td align="center">\leftrightarrow</td> 
 <td align="center"> ⟷ \longleftrightarrow ⟷</td> 
 <td align="center">\longleftrightarrow</td> 
 </tr> 
 <tr> 
 <td align="center"> ⇐ \Leftarrow ⇐</td> 
 <td align="center">\Leftarrow</td> 
 <td align="center"> ⟸ \Longleftarrow ⟸</td> 
 <td align="center">\Longleftarrow</td> 
 </tr> 
 <tr> 
 <td align="center"> ⇒ \Rightarrow ⇒</td> 
 <td align="center">\Rightarrow</td> 
 <td align="center"> ⟹ \Longrightarrow ⟹</td> 
 <td align="center">\Longrightarrow</td> 
 </tr> 
 <tr> 
 <td align="center"> ⇔ \Leftrightarrow ⇔</td> 
 <td align="center">\Leftrightarrow</td> 
 <td align="center"> ⟺ \Longleftrightarrow ⟺</td> 
 <td align="center">\Longleftrightarrow</td> 
 </tr> 
 <tr> 
 <td align="center"> ↑ \uparrow ↑</td> 
 <td align="center">\uparrow</td> 
 <td align="center"> ⇑ \Uparrow ⇑</td> 
 <td align="center">\Uparrow</td> 
 </tr> 
 <tr> 
 <td align="center"> ↓ \downarrow ↓</td> 
 <td align="center">\downarrow</td> 
 <td align="center"> ⇓ \Downarrow ⇓</td> 
 <td align="center">\Downarrow</td> 
 </tr> 
 </tbody> 
</table>

**符号**

<table> 
 <thead> 
 <tr> 
 <th align="center">符号</th> 
 <th align="center">markdown</th> 
 <th align="center">markdown</th> 
 </tr> 
 </thead> 
 <tbody> 
 <tr> 
 <td align="center">黑桃</td> 
 <td align="center"> ♠ \spades ♠</td> 
 <td align="center">\spades</td> 
 </tr> 
 <tr> 
 <td align="center">红桃</td> 
 <td align="center"> ♡ \hearts ♡</td> 
 <td align="center">\hearts</td> 
 </tr> 
 <tr> 
 <td align="center">梅花</td> 
 <td align="center"> ♣ \clubs ♣</td> 
 <td align="center">\clubs</td> 
 </tr> 
 <tr> 
 <td align="center">方片</td> 
 <td align="center"> ♢ \diamonds ♢</td> 
 <td align="center">\diamonds</td> 
 </tr> 
 </tbody> 
</table>