Markdown常用数学符号和公式

妖狐艹你老母 2023-07-04 15:34 15阅读 0赞

latex数学公式分为**行内公式**和**行间公式**两种，行内公式嵌入在一行内容之间，行间公式单独占用几行的空间，行内公式左右两侧各加一个美元符号，行间公式两侧各加两个美元符号

*  行内公式：`$数学公式$`。例如 `$a\ge b$`
 *  行间公式：`$$数学公式$$`。例如 `$$a\ge b$$`

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### 文章目录 ###

*  1 数学符号
 *  2 二十四个希腊字母
 *  3 复杂公式
 *   *  3.1 矩阵
     *  3.2 方程组
     *  3.3 等式

# 1 数学符号 #

<table> 
 <thead> 
 <tr> 
 <th align="left"></th> 
 <th>形式</th> 
 <th align="left">表示</th> 
 </tr> 
 </thead> 
 <tbody> 
 <tr> 
 <td align="left">1.求和</td> 
 <td> y = ∑ n i = 1 x i \displaystyle y=\sum_{n}^{i=1}x_{i} y=n∑i=1xi</td> 
 <td align="left">$\displaystyle y=\sum_{n}^{i=1}x_{i}$</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> y = ∑ y → 0 x → ∞ x y y=\sum^{x \to \infty}_{y \to 0}{\frac{x}{y}} y=∑y→0x→∞yx</td> 
 <td align="left">y=\sum^{x \to \infty}_{y \to 0}{\frac{x}{y}}</td> 
 </tr> 
 <tr> 
 <td align="left">2.极限</td> 
 <td> lim ⁡ y → 0 x → ∞ x y \lim^{x \to \infty}_{y \to 0}{\frac{x}{y}} limy→0x→∞yx</td> 
 <td align="left">\lim^{x \to \infty}_{y \to 0}{\frac{x}{y}}</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> lim ⁡ y → 0 x → ∞ x y \displaystyle \lim^{x \to \infty}_{y \to 0}{\frac{x}{y}} y→0limx→∞yx</td> 
 <td align="left">\displaystyle \lim^{x \to \infty}_{y \to 0}{\frac{x}{y}}</td> 
 </tr> 
 <tr> 
 <td align="left">3.开方</td> 
 <td> x \sqrt x x </td> 
 <td align="left">\sqrt x</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> x + y 3 \sqrt[3]{x+y} 3x+y </td> 
 <td align="left">\sqrt[3]{x+y}</td> 
 </tr> 
 <tr> 
 <td align="left">4.微积分</td> 
 <td> ∫ 0 ∞ x d x \int^{\infty}_{0}{xdx} ∫0∞xdx</td> 
 <td align="left">\int^{\infty}_{0}{xdx}</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ∬ \iint ∬</td> 
 <td align="left">\iint</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ∭ \iiint ∭</td> 
 <td align="left">\iiint</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ∂ 2 f ∂ x 2 ∂ 2 f ∂ x ∂ y \dfrac{\partial^2 f}{\partial x^2} \dfrac{\partial^2 f}{\partial x \partial y} ∂x2∂2f∂x∂y∂2f</td> 
 <td align="left">\dfrac{\partial^2 f}{\partial x^2} \dfrac{\partial^2 f}{\partial x \partial y}</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ∮ \oint ∮</td> 
 <td align="left">\oint</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ∂ x ∂ y \frac{\partial x}{\partial y} ∂y∂x</td> 
 <td align="left">\frac{\partial x}{\partial y}</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ∂ f ( x , y ) ∂ x ∣ x = 0 \frac{\partial f(x,y)}{\partial x} \vert _{x=0} ∂x∂f(x,y)∣x=0</td> 
 <td align="left">\frac{\partial f(x,y)}{\partial x} \vert _{x=0}</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> y ′ x y{\prime}x y′x</td> 
 <td align="left">y{\prime}x</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ∇ \nabla ∇</td> 
 <td align="left">\nabla</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ∞ \infty ∞</td> 
 <td align="left">\infty</td> 
 </tr> 
 <tr> 
 <td align="left">5.上下标</td> 
 <td> x y x^y xy</td> 
 <td align="left">x^y</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> x 9 x_9 x9</td> 
 <td align="left">x_9</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> y x \stackrel{x}{y} yx</td> 
 <td align="left">\stackrel{x}{y}</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> y z \overset{z}{y} yz</td> 
 <td align="left">\overset{z}{y}</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> y x \underset{x}{y} xy</td> 
 <td align="left">\underset{x}{y}</td> 
 </tr> 
 <tr> 
 <td align="left">向量</td> 
 <td> x y → \overrightarrow{xy} xy </td> 
 <td align="left">\overrightarrow{xy}</td> 
 </tr> 
 <tr> 
 <td align="left">矢量</td> 
 <td> x ⃗ \vec x x </td> 
 <td align="left">\vec x</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> x y z ‾ \overline{xyz} xyz</td> 
 <td align="left">\overline{xyz}</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> x y z ‾ ‾ \overline{x\overline{yz}} xyz</td> 
 <td align="left">\overline{x\overline{yz}}</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> x y z ‾ \underline{xyz} xyz</td> 
 <td align="left">\underline{xyz}</td> 
 </tr> 
 <tr> 
 <td align="left">6.累乘</td> 
 <td> ∏ n = 1 99 x n \prod_{n=1}^{99}{x_n} ∏n=199xn</td> 
 <td align="left">\prod_{n=1}^{99}{x_n}</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ∏ n = 1 99 x n \displaystyle \prod_{n=1}^{99}{x_n} n=1∏99xn</td> 
 <td align="left">\displaystyle \prod_{n=1}^{99}{x_n}</td> 
 </tr> 
 <tr> 
 <td align="left">7.箭头</td> 
 <td> a ← b → c ↔ d ⇔ e ⇌ f a \leftarrow b \rightarrow c \leftrightarrow d \Leftrightarrow e \rightleftharpoons f a←b→c↔d⇔e⇌f</td> 
 <td align="left">a \leftarrow b \rightarrow c \leftrightarrow d \Leftrightarrow e \rightleftharpoons f</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> a ⟵ b ⟶ c ⟺ d a \longleftarrow b \longrightarrow c \Longleftrightarrow d a⟵b⟶c⟺d</td> 
 <td align="left">a \longleftarrow b \longrightarrow c \Longleftrightarrow d</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> a ↗ b ↘ c ↖ d ↘ e a \nearrow b \searrow c \nwarrow d \searrow e a↗b↘c↖d↘e</td> 
 <td align="left">a \nearrow b \searrow c \nwarrow d \searrow e</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> a ↑ b ↓ c ⇑ d ⇓ e a \uparrow b \downarrow c \Uparrow d \Downarrow e a↑b↓c⇑d⇓e</td> 
 <td align="left">a \uparrow b \downarrow c \Uparrow d \Downarrow e</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> a ⇀ b ⇁ c ↼ d ↽ e a \rightharpoonup b \rightharpoondown c \leftharpoonup d \leftharpoondown e a⇀b⇁c↼d↽e</td> 
 <td align="left">a \rightharpoonup b \rightharpoondown c \leftharpoonup d \leftharpoondown e</td> 
 </tr> 
 <tr> 
 <td align="left">8.逻辑运算符</td> 
 <td> ∀ a ∃ b \forall a \exists b ∀a∃b</td> 
 <td align="left">\forall a \exists b</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ¬ a ⋁ b ⋀ \lnot a \bigvee b \bigwedge ¬a⋁b⋀</td> 
 <td align="left">\lnot a \bigvee b \bigwedge</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ∵ a ∴ b \because a \therefore b ∵a∴b</td> 
 <td align="left">\because a \therefore b</td> 
 </tr> 
 <tr> 
 <td align="left">9.集合符号</td> 
 <td> X ∪ Y ⋃ Z ∩ W X\cup Y \bigcup Z\cap W X∪Y⋃Z∩W</td> 
 <td align="left">X\cup Y \bigcup Z\cap W</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> X ⊂ Y ⊄ Z ⊆ W ⊈ U X \subset Y \not\subset Z \subseteq W \not\subseteq U X⊂Y⊂Z⊆W⊆U</td> 
 <td align="left">X \subset Y \not\subset Z \subseteq W \not\subseteq U</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> c ∈ d ∉ e c \in d \notin e c∈d∈/e</td> 
 <td align="left">c \in d \notin e</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ∅ \emptyset ∅</td> 
 <td align="left">\emptyset</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ∅ \varnothing ∅</td> 
 <td align="left">\varnothing</td> 
 </tr> 
 <tr> 
 <td align="left">10.取整</td> 
 <td> ⌈ x 2 ⌉ \lceil \frac{x}{2} \rceil ⌈2x⌉</td> 
 <td align="left">\lceil \frac{x}{2} \rceil</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ⌊ x ⌋ \lfloor x \rfloor ⌊x⌋</td> 
 <td align="left">\lfloor x \rfloor</td> 
 </tr> 
 <tr> 
 <td align="left">11.括号</td> 
 <td> ( n k ) \tbinom{n}{k} (kn)</td> 
 <td align="left">\tbinom{n}{k}</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ( n k ) \binom{n}{k} (kn)</td> 
 <td align="left">\binom{n}{k}</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ( n k ) \dbinom{n}{k} (kn)</td> 
 <td align="left">\dbinom{n}{k}</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> { n k } {n\brace k} { kn}</td> 
 <td align="left">{n\brace k}</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ( n k ) {n\choose k} (kn)</td> 
 <td align="left">{n\choose k}</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> [ n k ] {n\brack k} [kn]</td> 
 <td align="left">{n\brack k}</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> 1 + 2 + ⋯ + 100 ⏞ \overbrace{1+2+\cdots+100} 1+2+⋯+100 </td> 
 <td align="left">\overbrace{1+2+\cdots+100}</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> 1 + 2 + ⋯ + 100 ⏟ \underbrace{1+2+\cdots+100} 1+2+⋯+100</td> 
 <td align="left">\underbrace{1+2+\cdots+100}</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> 5050 1 + 2 + ⋯ + 100 ⏞ \begin{matrix} 5050 \\ \overbrace{ 1+2+\cdots+100 }\end{matrix} 50501+2+⋯+100 </td> 
 <td align="left">\begin{matrix} 5050 \ \overbrace{ 1+2+\cdots+100 }\end{matrix}</td> 
 </tr> 
 <tr> 
 <td align="left">12.运算符</td> 
 <td> ≠ \neq =</td> 
 <td align="left">\neq</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ≤ \leq ≤</td> 
 <td align="left">\leq</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ≥ \geq ≥</td> 
 <td align="left">\geq</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ≈ \approx ≈</td> 
 <td align="left">\approx</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> &lt;̸ \not\lt &lt;</td> 
 <td align="left">\not\lt</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> &gt; \gt &gt;</td> 
 <td align="left">\gt</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> &lt; \lt &lt;</td> 
 <td align="left">\lt</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ≫ \gg ≫</td> 
 <td align="left">\gg</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ⋘ \lll ⋘</td> 
 <td align="left">\lll</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ± \pm ±</td> 
 <td align="left">\pm</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> × \times ×</td> 
 <td align="left">\times</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ÷ \div ÷</td> 
 <td align="left">\div</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ∣ \mid ∣</td> 
 <td align="left">\mid</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ∗ \ast ∗</td> 
 <td align="left">\ast</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ⊗ a n d ⨂ \otimes and \bigotimes ⊗and⨂</td> 
 <td align="left">\odot and\bigodot</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ⊗ a n d ⨂ \otimes and \bigotimes ⊗and⨂</td> 
 <td align="left">\otimes and \bigotimes</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ⋈ \bowtie ⋈</td> 
 <td align="left">\bowtie</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ∠ \angle ∠</td> 
 <td align="left">\angle</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> ⊥ \bot ⊥</td> 
 <td align="left">\bot</td> 
 </tr> 
 <tr> 
 <td align="left">13.三角函数</td> 
 <td> sin ⁡ 3 0 ∘ \sin 30^\circ sin30∘</td> 
 <td align="left">\sin 30^\circ</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> cos ⁡ \cos cos</td> 
 <td align="left">\cos</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> tan ⁡ \tan tan</td> 
 <td align="left">\tan</td> 
 </tr> 
 <tr> 
 <td align="left">14.对数</td> 
 <td> ln ⁡ 2 \ln 2 ln2</td> 
 <td align="left">\ln 2</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> log ⁡ 2 8 \log_2 8 log28</td> 
 <td align="left">\log_2 8</td> 
 </tr> 
 <tr> 
 <td align="left"></td> 
 <td> lg ⁡ 10 \lg 10 lg10</td> 
 <td align="left">\lg 10</td> 
 </tr> 
 </tbody> 
</table>

# 2 二十四个希腊字母 #

<table> 
 <thead> 
 <tr> 
 <th>序号</th> 
 <th>小写</th> 
 <th>表示</th> 
 <th>大写</th> 
 <th>表示</th> 
 </tr> 
 </thead> 
 <tbody> 
 <tr> 
 <td>1</td> 
 <td> α \alpha α</td> 
 <td>\alpha</td> 
 <td> A \Alpha A</td> 
 <td>\Alpha</td> 
 </tr> 
 <tr> 
 <td>2</td> 
 <td> β \beta β</td> 
 <td>\beta</td> 
 <td> B \Beta B</td> 
 <td>\Beta</td> 
 </tr> 
 <tr> 
 <td>3</td> 
 <td> γ \gamma γ</td> 
 <td>\gamma</td> 
 <td> Γ \Gamma Γ</td> 
 <td>\Gamma</td> 
 </tr> 
 <tr> 
 <td>4</td> 
 <td> δ \delta δ</td> 
 <td>\delta</td> 
 <td> Δ \Delta Δ</td> 
 <td>\Delta</td> 
 </tr> 
 <tr> 
 <td>5</td> 
 <td> ϵ \epsilon ϵ</td> 
 <td>\epsilon</td> 
 <td> E \Epsilon E</td> 
 <td>\Epsilon</td> 
 </tr> 
 <tr> 
 <td></td> 
 <td> ε \varepsilon ε</td> 
 <td>\varepsilon</td> 
 <td></td> 
 <td></td> 
 </tr> 
 <tr> 
 <td>6</td> 
 <td> ζ \zeta ζ</td> 
 <td>\zeta</td> 
 <td> Z \Zeta Z</td> 
 <td>\Zeta</td> 
 </tr> 
 <tr> 
 <td>7</td> 
 <td> η \eta η</td> 
 <td>\eta</td> 
 <td> H \Eta H</td> 
 <td>\Eta</td> 
 </tr> 
 <tr> 
 <td>8</td> 
 <td> θ \theta θ</td> 
 <td>\theta</td> 
 <td> Θ \Theta Θ</td> 
 <td>\Theta</td> 
 </tr> 
 <tr> 
 <td>9</td> 
 <td> ι \iota ι</td> 
 <td>\iota</td> 
 <td> I \Iota I</td> 
 <td>\Iota</td> 
 </tr> 
 <tr> 
 <td>10</td> 
 <td> κ \kappa κ</td> 
 <td>\kappa</td> 
 <td> K \Kappa K</td> 
 <td>\Kappa</td> 
 </tr> 
 <tr> 
 <td>11</td> 
 <td> λ \lambda λ</td> 
 <td>\lambda</td> 
 <td> Λ \Lambda Λ</td> 
 <td>\Lambda</td> 
 </tr> 
 <tr> 
 <td>12</td> 
 <td> μ \mu μ</td> 
 <td>\mu</td> 
 <td> M \Mu M</td> 
 <td>\Mu</td> 
 </tr> 
 <tr> 
 <td>13</td> 
 <td> ν \nu ν</td> 
 <td>\nu</td> 
 <td> N \Nu N</td> 
 <td>\Nu</td> 
 </tr> 
 <tr> 
 <td>14</td> 
 <td> ξ \xi ξ</td> 
 <td>\xi</td> 
 <td> Ξ \Xi Ξ</td> 
 <td>\Xi</td> 
 </tr> 
 <tr> 
 <td>15</td> 
 <td> ο \omicron ο</td> 
 <td>\omicron</td> 
 <td> O \Omicron O</td> 
 <td>\Omicron</td> 
 </tr> 
 <tr> 
 <td>16</td> 
 <td> π \pi π</td> 
 <td>\pi</td> 
 <td> Π \Pi Π</td> 
 <td>\Pi</td> 
 </tr> 
 <tr> 
 <td>17</td> 
 <td> ρ \rho ρ</td> 
 <td>\rho</td> 
 <td> P \Rho P</td> 
 <td>\Rho</td> 
 </tr> 
 <tr> 
 <td>18</td> 
 <td> σ \sigma σ</td> 
 <td>\sigma</td> 
 <td> Σ \Sigma Σ</td> 
 <td>\Sigma</td> 
 </tr> 
 <tr> 
 <td>19</td> 
 <td> τ \tau τ</td> 
 <td>\tau</td> 
 <td> T \Tau T</td> 
 <td>\Tau</td> 
 </tr> 
 <tr> 
 <td>20</td> 
 <td> υ \upsilon υ</td> 
 <td>\upsilon</td> 
 <td> Υ \Upsilon Υ</td> 
 <td>\Upsilon</td> 
 </tr> 
 <tr> 
 <td>21</td> 
 <td> ϕ \phi ϕ</td> 
 <td>\phi</td> 
 <td> Φ \Phi Φ</td> 
 <td>\Phi</td> 
 </tr> 
 <tr> 
 <td></td> 
 <td> φ \varphi φ</td> 
 <td>\varphi</td> 
 <td></td> 
 <td></td> 
 </tr> 
 <tr> 
 <td>22</td> 
 <td> χ \chi χ</td> 
 <td>\chi</td> 
 <td> X \Chi X</td> 
 <td>\Chi</td> 
 </tr> 
 <tr> 
 <td>23</td> 
 <td> ψ \psi ψ</td> 
 <td>\psi</td> 
 <td> Ψ \Psi Ψ</td> 
 <td>\Psi</td> 
 </tr> 
 <tr> 
 <td>24</td> 
 <td> ω \omega ω</td> 
 <td>\omega</td> 
 <td> Ω \Omega Ω</td> 
 <td>\Omega</td> 
 </tr> 
 </tbody> 
</table>

# 3 复杂公式 #

## 3.1 矩阵 ##

<table> 
 <thead> 
 <tr> 
 <th>符号</th> 
 <th>表示</th> 
 </tr> 
 </thead> 
 <tbody> 
 <tr> 
 <td> 0 1 3 4 \begin{matrix} 0 &amp; 1 \\ 3 &amp; 4 \\ \end{matrix} 0314</td> 
 <td><code>$$\begin{matrix} 0 &amp; 1 \\ 3 &amp; 4 \\ \end{matrix}$$</code></td> 
 </tr> 
 <tr> 
 <td> ( 0 1 3 4 ) \begin{pmatrix} 0 &amp; 1 \\ 3 &amp; 4 \\ \end{pmatrix} (0314)</td> 
 <td><code>\begin{pmatrix} 0 &amp; 1 \\ 3 &amp; 4 \\ \end{pmatrix}</code></td> 
 </tr> 
 <tr> 
 <td> ∣ 0 1 3 4 ∣ \begin{vmatrix} 0 &amp; 1 \\ 3 &amp; 4 \\ \end{vmatrix} ∣∣∣∣0314∣∣∣∣</td> 
 <td><code>\begin{vmatrix} 0 &amp; 1 \\ 3 &amp; 4 \\ \end{vmatrix}</code></td> 
 </tr> 
 <tr> 
 <td> ∥ 0 1 3 4 ∥ \begin{Vmatrix} 0 &amp; 1 \\ 3 &amp; 4 \\ \end{Vmatrix} ∥∥∥∥0314∥∥∥∥</td> 
 <td><code>\begin{Vmatrix} 0 &amp; 1 \\ 3 &amp; 4 \\ \end{Vmatrix}</code></td> 
 </tr> 
 <tr> 
 <td> [ 0 1 3 4 ] \begin{bmatrix} 0 &amp; 1 \\ 3 &amp; 4 \\ \end{bmatrix} [0314]</td> 
 <td><code>\begin{bmatrix} 0 &amp; 1 \\ 3 &amp; 4 \\ \end{bmatrix}</code></td> 
 </tr> 
 <tr> 
 <td> { 0 1 3 4 } \begin{Bmatrix} 0 &amp; 1 \\ 3 &amp; 4 \\ \end{Bmatrix} { 0314}</td> 
 <td><code>\begin{Bmatrix} 0 &amp; 1 \\ 3 &amp; 4 \\ \end{Bmatrix}</code></td> 
 </tr> 
 </tbody> 
</table>

% 可将 [] 换成 () 或 ||...
    
    $$
    \left[   
    \begin{array}{ccc|c}
        \psi(x) & g(x)   & \cdots  & a_{1n} \\
        \hline
        a_{21}  & a_{22} & \dots   & a_{2n} \\
        \vdots  & \vdots & \ddots  & \vdots \\
        a_{n1}  & a_{n2} & ...     & a_{nn}
    \end{array}
    \right]
    $$

\[ ψ ( x ) g ( x ) ⋯ a 1 n a 21 a 22 … a 2 n ⋮ ⋮ ⋱ ⋮ a n 1 a n 2 . . . a n n \] \\left\[ \\begin\{array\}\{ccc|c\} \\psi(x) & g(x) & \\cdots & a\_\{1n\} \\\\ \\hline a\_\{21\} & a\_\{22\} & \\dots & a\_\{2n\} \\\\ \\vdots & \\vdots & \\ddots & \\vdots \\\\ a\_\{n1\} & a\_\{n2\} & ... & a\_\{nn\} \\end\{array\} \\right\] ⎣⎢⎢⎢⎡ψ(x)a21⋮an1g(x)a22⋮an2⋯…⋱...a1na2n⋮ann⎦⎥⎥⎥⎤

$$
    \begin{bmatrix}
        1 & x_{0} &...      & x_{0}^{n} \\
        1 & x_{1} &...  	 & x_{1}^{n} \\
        &       & \cdots  & \\
        1 & x_{n} & \dots   & x_{n}^{n}
    \end{bmatrix}
    \begin{bmatrix}
        a_{0}\\ a_{1}\\ ...\\ a_{n}
    \end{bmatrix}=
    \begin{bmatrix}
        y_{0}\\ y_{1}\\ ...\\ y_{n}
    \end{bmatrix}
    $$

\[ 1 x 0 . . . x 0 n 1 x 1 . . . x 1 n ⋯ 1 x n … x n n \] \[ a 0 a 1 . . . a n \] = \[ y 0 y 1 . . . y n \] \\begin\{bmatrix\} 1 & x\_\{0\} &... & x\_\{0\}^\{n\} \\\\ 1 & x\_\{1\} &... & x\_\{1\}^\{n\} \\\\ & & \\cdots & \\\\ 1 & x\_\{n\} & \\dots & x\_\{n\}^\{n\} \\end\{bmatrix\} \\begin\{bmatrix\} a\_\{0\}\\\\ a\_\{1\}\\\\ ...\\\\ a\_\{n\} \\end\{bmatrix\}= \\begin\{bmatrix\} y\_\{0\}\\\\ y\_\{1\}\\\\ ...\\\\ y\_\{n\} \\end\{bmatrix\} ⎣⎢⎢⎡111x0x1xn......⋯…x0nx1nxnn⎦⎥⎥⎤⎣⎢⎢⎡a0a1...an⎦⎥⎥⎤=⎣⎢⎢⎡y0y1...yn⎦⎥⎥⎤

## 3.2 方程组 ##

$$
    \begin{cases}
        a_{0}+a_{1}x_{0}+...+a_{n}x_{0}^{n}=y_{0} \\
        a_{0}+a_{1}x_{1}+...+a_{n}x_{1}^{n}=y_{1} \\
        \cdots\\
        a_{0}+a_{1}x_{n}+...+a_{n}x_{n}^{n}=y_{n}
    \end{cases}
    $$

\{ a 0 + a 1 x 0 + . . . + a n x 0 n = y 0 a 0 + a 1 x 1 + . . . + a n x 1 n = y 1 ⋯ a 0 + a 1 x n + . . . + a n x n n = y n \\begin\{cases\} a\_\{0\}+a\_\{1\}x\_\{0\}+...+a\_\{n\}x\_\{0\}^\{n\}=y\_\{0\} \\\\ a\_\{0\}+a\_\{1\}x\_\{1\}+...+a\_\{n\}x\_\{1\}^\{n\}=y\_\{1\} \\\\ \\cdots\\\\ a\_\{0\}+a\_\{1\}x\_\{n\}+...+a\_\{n\}x\_\{n\}^\{n\}=y\_\{n\} \\end\{cases\} ⎩⎪⎪⎪⎨⎪⎪⎪⎧a0\+a1x0\+...\+anx0n=y0a0\+a1x1\+...\+anx1n=y1⋯a0\+a1xn\+...\+anxnn=yn

## 3.3 等式 ##

% 使用 \& 使 = 左对齐
    
    $$
    \begin{aligned}
        (f,K^{'}_{x}y+K^{''}_{x}y)_{F}
        &=(f^{'}+f^{''},K^{'}_{x}y+K^{''}_{x}y)_{F}\\
        &=(f^{'},K^{'}_{x}y)_{F}+(f^{''},K^{''}_{x}y)_{F}+(f^{'},K^{''}_{x}y)_{F}+(f^{''},K^{'}_{x}y)_{F}\\
        &=(f^{'},K^{'}_{x}y)_{F}+(f^{''},K^{''}_{x}y)_{F}\\
        &=(f^{'}(x),y)_{Y}+(f^{''}(x),y)_{Y}\\
        &=(f^{'}(x)+f^{''}(x),y)_{Y}\\
        &=(f(x),y)_{Y}\\
        &=(f,K_{x}y)_{F}
    \end{aligned}
    $$

( f , K x ′ y + K x ′ ′ y ) F = ( f ′ + f ′ ′ , K x ′ y + K x ′ ′ y ) F = ( f ′ , K x ′ y ) F + ( f ′ ′ , K x ′ ′ y ) F + ( f ′ , K x ′ ′ y ) F + ( f ′ ′ , K x ′ y ) F = ( f ′ , K x ′ y ) F + ( f ′ ′ , K x ′ ′ y ) F = ( f ′ ( x ) , y ) Y + ( f ′ ′ ( x ) , y ) Y = ( f ′ ( x ) + f ′ ′ ( x ) , y ) Y = ( f ( x ) , y ) Y \\begin\{aligned\} (f,K^\{'\}\_\{x\}y+K^\{''\}\_\{x\}y)\_\{F\} &=(f^\{'\}+f^\{''\},K^\{'\}\_\{x\}y+K^\{''\}\_\{x\}y)\_\{F\}\\\\ &=(f^\{'\},K^\{'\}\_\{x\}y)\_\{F\}+(f^\{''\},K^\{''\}\_\{x\}y)\_\{F\}+(f^\{'\},K^\{''\}\_\{x\}y)\_\{F\}+(f^\{''\},K^\{'\}\_\{x\}y)\_\{F\}\\\\ &=(f^\{'\},K^\{'\}\_\{x\}y)\_\{F\}+(f^\{''\},K^\{''\}\_\{x\}y)\_\{F\}\\\\ &=(f^\{'\}(x),y)\_\{Y\}+(f^\{''\}(x),y)\_\{Y\}\\\\ &=(f^\{'\}(x)+f^\{''\}(x),y)\_\{Y\}\\\\ &=(f(x),y)\_\{Y\}\\\\ \\end\{aligned\} (f,Kx′y\+Kx′′y)F=(f′\+f′′,Kx′y\+Kx′′y)F=(f′,Kx′y)F\+(f′′,Kx′′y)F\+(f′,Kx′′y)F\+(f′′,Kx′y)F=(f′,Kx′y)F\+(f′′,Kx′′y)F=(f′(x),y)Y\+(f′′(x),y)Y=(f′(x)\+f′′(x),y)Y=(f(x),y)Y

[x9z2]: https://pan.baidu.com/s/1RNUWAfVDr9i3_cGoyx93sg