2020-02-06

作者: shayito | 来源:发表于2020-02-06 16:12 被阅读0次

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生日
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2020-02-06

Latex常用公式整理

常用
常用数学公式
常用希腊字母

说明：博客园中的Latex编辑是以<nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">latex公式<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi><mi>a</mi><mi>t</mi><mi>e</mi><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mo>公</mo></mrow><mrow class="MJX-TeXAtom-ORD"><mo>式</mo></mrow></math>，为边界。

1、常用

| 描述 | Latex公式 | 表达式 |
| 下标 | x_2 | x₂ |
| 上标 | x^2 | x² |
| 分数 | \frac{1}{2} | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">12<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac></math> |
| 大于等于 | \leq | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">≤<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>≤</mo></math> |
| 小于等于 | \geq | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">≥<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>≥</mo></math> |
| 两quda空格 | \qquad | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">ab<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mi>b</mi></math> |
| quda空格 | \quad | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">ab<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mi>b</mi></math> |
| 大空格 | \ | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">a b<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mi>b</mi></math> |
| 中空格 | ; | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">ab<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mi>b</mi></math> |
| 小空格 | , | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">ab<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mi>b</mi></math> |

2、常用数学公式

| 描述 | Latex公式 | 表达式 |
| 求和 | \sum_{i=1}^m | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">∑mi=1<math xmlns="http://www.w3.org/1998/Math/MathML"><munderover><mo>∑</mo><mrow class="MJX-TeXAtom-ORD"><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>m</mi></munderover></math> |
| 求偏导 | \partial L(x,y) | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">∂L(x,y)<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">∂</mi><mi>L</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo stretchy="false">)</mo></math> |
| 模 | \left | x \right | | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">∥x∥<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mo symmetric="true">‖</mo><mi>x</mi><mo symmetric="true">‖</mo></mrow></math> |
| | \bar{x} | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">x¯<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow class="MJX-TeXAtom-ORD"><mover><mi>x</mi><mo stretchy="false">¯</mo></mover></mrow></math> |
| 根号 | \sqrt{x} | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">x−−√<math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mi>x</mi></msqrt></math> |
| 根号 | \sqrt[3]{x} | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">x−−√3<math xmlns="http://www.w3.org/1998/Math/MathML"><mroot><mi>x</mi><mn>3</mn></mroot></math> |
| | \underset{x}{min} | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">minx<math xmlns="http://www.w3.org/1998/Math/MathML"><munder><mrow><mi>m</mi><mi>i</mi><mi>n</mi></mrow><mi>x</mi></munder></math> |
| 属于 | \in | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">∈<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>∈</mo></math> |
| 度 | 37^{\circ} | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">37∘<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mn>37</mn><mrow class="MJX-TeXAtom-ORD"><mo>∘</mo></mrow></msup></math> |
| 向量 | \vex{a} | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">a⃗ <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow class="MJX-TeXAtom-ORD"><mover><mi>a</mi><mo stretchy="false">→</mo></mover></mrow></math> |
| 矩阵 |

image

|
| 矩阵 |

image

|
| 行列式 |

image

|
| 大括号 |

image

| <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">⎧⎩⎨⎪⎪y1y2y3===ax1+bx2cx1+dx3+fgx1+hx3+k⎫⎭⎬⎪⎪<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mo>{</mo><mtable rowspacing="4pt" columnspacing="1em"><mtr><mtd><msub><mi>y</mi><mn>1</mn></msub></mtd><mtd><mo>=</mo></mtd><mtd><mi>a</mi><msub><mi>x</mi><mn>1</mn></msub><mo>+</mo><mi>b</mi><msub><mi>x</mi><mn>2</mn></msub></mtd></mtr><mtr><mtd><msub><mi>y</mi><mn>2</mn></msub></mtd><mtd><mo>=</mo></mtd><mtd><mi>c</mi><msub><mi>x</mi><mn>1</mn></msub><mo>+</mo><mi>d</mi><msub><mi>x</mi><mn>3</mn></msub><mo>+</mo><mi>f</mi></mtd></mtr><mtr><mtd><msub><mi>y</mi><mn>3</mn></msub></mtd><mtd><mo>=</mo></mtd><mtd><mi>g</mi><msub><mi>x</mi><mn>1</mn></msub><mo>+</mo><mi>h</mi><msub><mi>x</mi><mn>3</mn></msub><mo>+</mo><mi>k</mi></mtd></mtr></mtable><mo>}</mo></mrow></math> |

3、常用希腊字母

| Latex公式 | 表达式 |
| \alpha | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">α<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>α</mi></math> |
| \beta | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">β<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>β</mi></math> |
| \gamma | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">γ<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>γ</mi></math> |
| \delta | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">δ<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>δ</mi></math> |
| \theta | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">θ<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>θ</mi></math> |
| \epsilon | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">ϵ<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ϵ</mi></math> |
| \varepsilon | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">ε<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ε</mi></math> |
| \zeta | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">ζ<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ζ</mi></math> |
| \eta | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">η<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>η</mi></math> |
| \lambda | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">λ<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>λ</mi></math> |
| \rho | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">ρ<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ρ</mi></math> |
| \sigma | <nobr aria-hidden="true" style="margin: 0px; padding: 0px; transition: none 0s ease 0s; border: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal; text-decoration: none; white-space: nowrap !important;">σ<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>σ</mi></math> |

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Latex常用公式整理

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