diff --git a/docs/cheatsheet/KaTex常用公式编辑.ipynb b/docs/cheatsheet/KaTex常用公式编辑.ipynb new file mode 100644 index 0000000..1a6675a --- /dev/null +++ b/docs/cheatsheet/KaTex常用公式编辑.ipynb @@ -0,0 +1,1091 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "dc81939e-7d67-48ba-8a08-d942220e564e", + "metadata": {}, + "source": [ + "# KaTex 常用公式编辑\n", + "\n", + "来源：[KaTex 常用公式编辑](https://blog.iyatt.com/?p=7854)" + ] + }, + { + "cell_type": "markdown", + "id": "d33fa5ce-8bb2-4027-948a-0200b0a9005a", + "metadata": {}, + "source": [ + "## TeX，LaTeX和KaTeX区别" + ] + }, + { + "cell_type": "markdown", + "id": "03f7e830-3341-4d05-bef4-5d09792c519f", + "metadata": {}, + "source": [ + "### TeX - 计算机排版系统\n", + "七十年代末，Donald E. Knuth在看自己的《电脑编程的艺术》校样时，感觉计算机排版的校样质量低到无法忍受，于是决定自己开发一个高质量的计算机排版系统，这样就有了 TeX 。\n", + "TeX 在希腊语中这个词的意思是“科技”和“艺术”。" + ] + }, + { + "cell_type": "markdown", + "id": "24c7a34b-11a2-4686-92c2-62b41b7feab7", + "metadata": {}, + "source": [ + "### LaTeX - TEX宏集\n", + "LaTeX 是一套建在 TeX 之上的，当今世界上最流行和使用最广泛的TEX宏集。LaTeX 是一套建在 TeX 之上的宏。LaTeX 背后的理念是将焦点从格式转移到文档内容。在 LaTeX 命令是为了给文档内容提供结构。已经按照一套排版标准编写好模板，你只需要指定就行了。\n", + "由美国计算机科学家莱斯利·兰伯特在20世纪80年代初期开发，利用这种格式系统的处理，即使用户没有排版和程序设计的知识也可以充分发挥由TeX所提供的强大功能。" + ] + }, + { + "cell_type": "markdown", + "id": "6ff276ec-0045-4d7d-b611-ba30ae46e436", + "metadata": {}, + "source": [ + "### KaTeX和MathJax - JavaScript渲染器\n", + "\n", + "目前来说，在网页上显示数学公式最常用的方案是引入 JavaScript 对 LaTeX 代码渲染，如维基百科、segmentfault 都是采用这样的方案，其中使用最多的库是 MathJax 和 KaTeX。" + ] + }, + { + "cell_type": "markdown", + "id": "9aff6005-0208-433a-a0f9-1ca6497365c4", + "metadata": {}, + "source": [ + "## 希腊字母" + ] + }, + { + "cell_type": "markdown", + "id": "923e56f5-6720-4cf9-8c6f-56359504c47f", + "metadata": {}, + "source": [ + "大写 | 代码 | 小写 | 代码\n", + "--- | --- | --- | ---\n", + "A \t| A \t| $\\alpha$ | \t\\alpha\n", + "B \t| B \t| $\\beta$ | \t\\beta\n", + "$\\Gamma$ |\t\\Gamma \t| $\\gamma$ |\t\\gamma\n", + "$\\Delta$ \t| \\Delta \t| $\\delta$ | \t\\delta\n", + "E \t| E \t|$\\epsilon$ | \t\\epsilon\n", + "Z \t| Z \t| $\\zeta$ |\t\\zeta\n", + "H \t| H \t| $\\eta$ | \t\\eta\n", + "$\\Theta$ \t| \\Theta |\t$\\theta$ |\t\\theta\n", + "I \t| I \t| $\\iota$ \t| \\iota\n", + "K \t| K \t| $\\kappa$\t| \\kappa\n", + "$\\Lambda$ \t| \\Lambda \t| $\\lambda$ \t| \\lambda\n", + "M \t| M \t| $\\mu$\t| \\mu\n", + "N \t| N \t| $\\nu$ \t| \\nu\n", + "$\\Xi$\t| \\Xi \t| $\\xi$ \t| \\xi\n", + "O \t| O \t| $\\omicron$\t| \\omicron\n", + "$\\Pi$\t| \\Pi \t| $\\pi$ \t| \\pi\n", + "P \t| P \t| $\\rho$ \t| \\rho\n", + "$\\Sigma$ \t| \\Sigma |\t$\\sigma$ \t|\\sigma\n", + "T \t| T \t| $\\tau$ \t| \\tau\n", + "Υ \t| Υ \t| $\\upsilon$ \t| \\upsilon\n", + "$\\Phi$\t| \\Phi \t| $\\phi$ \t| \\phi\n", + "X \t| X \t| $\\chi$ \t| \\chi\n", + "$\\Psi$ \t| \\Psi \t| $\\psi$ \t| \\psi\n", + "$\\Omega$\t| \\Omega \t| $\\omega$ \t| \\omega" + ] + }, + { + "cell_type": "markdown", + "id": "9f133d97-cc43-4131-9279-689ebc0f4f85", + "metadata": {}, + "source": [ + "## 符号" + ] + }, + { + "cell_type": "markdown", + "id": "046a874d-bbcc-477f-b088-3dbe58f7d09a", + "metadata": {}, + "source": [ + "\n", + "含义 | 代码 | 符号\n", + "--- | --- | ---\n", + "乘 | \\times | $\\times$\n", + "除 | \\div | $\\div$\n", + "加减 | \\pm | $\\pm$\n", + "减加 | \\mp | $\\mp$\n", + "偏导数 | \\partial | $\\partial$\n", + "小于 | \\lt | $\\lt$\n", + "大于 | \\gt | $\\gt$\n", + "小于等于 | \\le | $\\le$\n", + "大于等于 | \\ge | $\\ge$\n", + "不等于 | \\ne | $\\ne$\n", + "加 \\not 作 否定 | \\not \\lt | $\\not \\lt$\n", + "并集 | \\cup | $\\cup$\n", + "交集 | \\cap | $\\cap$\n", + "子集 | \\subset | $\\subset$\n", + "差集 | \\setminus | $\\setminus$\n", + "非子集 | \\subsetneq | $\\subsetneq$\n", + "父集 | \\supset | $\\supset$\n", + "属于 | \\in | $\\in$\n", + "不属于 | \\notin | $\\notin$\n", + "空集 | \\emptyset | $\\emptyset$\n", + "空 | \\varnothing | $\\varnothing$\n", + "虚数 i、j | \\imath , \\jmath | $\\imath$, $\\jmath$\n", + "异或 | \\oplus | $\\oplus$\n", + "同与 | \\otimes | $\\otimes$\n", + "同或 | \\odot | $\\odot$\n", + "与 | \\land | $\\land$\n", + "或 | \\lor | $\\lor$\n", + "非 | \\lnot | $\\lnot$\n", + "点乘 | \\cdot | $\\cdot$\n", + "平均运算符 | \\overline{x} | $\\overline{x}$\n", + "向量（单） | \\vec{x} | \\vec{x}\n", + "向量（多）| \\overrightarrow{xy} | $\\overrightarrow{xy}$\n", + "梯度算子 | \\nabla | $\\nabla$\n", + "空格 \\ | a\\ b | $a\\ b$\n", + "任意 | \\forall | $\\forall$\n", + "存在 | \\exists | $\\exists$\n", + "反斜杠 | \\backslash | $\\backslash$\n", + " | \\to | $\\to$\n", + " | \\rightarrow | $\\rightarrow$\n", + " | \\leftarrow | $\\leftarrow$\n", + " | \\leftrightarrow | $\\leftrightarrow$\n", + " | \\uparrow | $\\uparrow$\n", + " | \\downarrow | $\\downarrow$\n", + " | \\updownarrow | $\\updownarrow$\n", + " | \\Rightarrow | $\\Rightarrow$\n", + " | \\Leftarrow | $\\Leftarrow$\n", + " | \\Leftrightarrow | $\\Leftrightarrow$\n", + " | \\Uparrow | $\\Uparrow$\n", + " | \\Downarrow | $\\Downarrow$\n", + " | \\Updownarrow | $\\Updownarrow$\n", + " | \\longrightarrow | $\\longrightarrow$\n", + " | \\Longrightarrow | $\\Longrightarrow$\n", + " | \\twoheadrightarrow | $\\twoheadrightarrow$\n", + " | \\rightarrowtail | $\\rightarrowtail$\n", + " | \\looparrowright | $\\looparrowright$\n", + " | \\curvearrowright | $\\curvearrowright$\n", + " | \\circlearrowright | $\\circlearrowright$\n", + " | \\Rsh | $\\Rsh$\n", + " | \\multimap | $\\multimap$\n", + " | \\leftrightsquigarrow | $\\leftrightsquigarrow$\n", + " | \\rightsquigarrow | $\\rightsquigarrow$\n", + " | \\leadsto | $\\leadsto$\n", + " | \\nearrow | $\\nearrow$\n", + " | \\searrow | $\\searrow$\n", + " | \\swarrow | $\\swarrow$\n", + " | \\nwarrow | $\\nwarrow$\n", + " | \\nleftarrow | $\\nleftarrow$\n", + " | \\nrightarrow | $\\nrightarrow$\n", + " | \\nLeftarrow | $\\nLeftarrow$\n", + " | \\nRightarrow | $\\nRightarrow$\n", + " | \\nleftrightarrow | $\\nleftrightarrow$\n", + " | \\nLeftrightarrow | $\\nLeftrightarrow$\n", + " | \\dashrightarrow | $\\dashrightarrow$\n", + " | \\dashleftarrow | $\\dashleftarrow$\n", + " | \\leftleftarrows | $\\leftleftarrows$\n", + " | \\leftrightarrows | $\\leftrightarrows$\n", + " | \\twoheadleftarrow | $\\twoheadleftarrow$\n", + " | \\leftarrowtail | $\\leftarrowtail$\n", + " | \\looparrowleft | $\\looparrowleft$\n", + " | \\curvearrowleft | $\\curvearrowleft$\n", + " | \\circlearrowleft | $\\circlearrowleft$\n", + " | \\Lsh | $\\Lsh$\n", + " | \\mapsto | $\\mapsto$\n", + " | \\hookleftarrow | $\\hookleftarrow$\n", + " | \\hookrightarrow | $\\hookrightarrow$\n", + " | \\upharpoonright | $\\upharpoonright$\n", + " | \\upharpoonleft | $\\upharpoonleft$\n", + " | \\downharpoonright | $\\downharpoonright$\n", + " | \\downharpoonleft | $\\downharpoonleft$\n", + " | \\leftharpoonup | $\\leftharpoonup$\n", + " | \\rightharpoonup | $\\rightharpoonup$\n", + " | \\leftharpoondown | $\\leftharpoondown$\n", + " | \\rightharpoondown | $\\rightharpoondown$\n", + " | \\upuparrows | $\\upuparrows$\n", + " | \\downdownarrows | $\\downdownarrows$\n", + " | \\rightrightarrows | $\\rightrightarrows$\n", + " | \\rightleftarrows | $\\rightleftarrows$\n", + " | \\rightrightarrows | $\\rightrightarrows$\n", + " | \\rightleftarrows | $\\rightleftarrows$\n", + " | \\rightleftharpoons | $\\rightleftharpoons$\n", + " | \\leftrightharpoons | $\\leftrightharpoons$\n", + " | \\mapsto | $\\mapsto$\n", + " | \\forall | $\\forall$\n", + " | \\exists | $\\exists$\n", + " | \\top | $\\top$\n", + " | \\bot | $\\bot$\n", + " | \\vDash | $\\vDash$\n", + " | \\star | $\\star$\n", + " | \\ast | $\\ast$\n", + " | \\bullet | $\\bullet$\n", + "约等于 | \\approx | $\\approx$\n", + "波浪号 | \\sim | $\\sim$\n", + " | \\equiv | $\\equiv$\n", + " | \\prec | $\\prec$\n", + "无穷 | \\infty | $\\infty$\n", + " | \\aleph_o | $\\aleph_o$\n", + " | \\Im | $\\Im$\n", + " | \\Re | $\\Re$\n", + " | \\ldots | $\\ldots$\n", + " | \\cdots | $\\cdots$\n", + " | \\vdots | $\\vdots$\n", + " | \\ddots | $\\ddots$\n", + " | \\hat x | $\\hat x$\n", + " | \\widehat {xy} | $\\widehat {xy}$\n", + " | \\dot x | $\\dot x$\n", + " | \\ddot x | $\\ddot x$\n", + " | \\dot {\\dot x} | $\\dot {\\dot x}$\n", + " | \\mathring{U} | $\\mathring{U}$" + ] + }, + { + "cell_type": "markdown", + "id": "210c05a6-24a0-4a2a-8791-37cf120e7adf", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "## 上下添加公式" + ] + }, + { + "cell_type": "markdown", + "id": "a5f66a33-5426-458c-a990-b70676676894", + "metadata": {}, + "source": [ + "代码 | 符号\n", + "--- | ---\n", + "\\overset{x=9}{=} | $\\overset{x=9}{=}$\n", + "\\underset{x=\\sin\\theta}{=} | $\\underset{x=\\sin\\theta}{=}$\n", + "\\xlongequal[下方公式]{上方公式} | $\\xlongequal[下方公式]{上方公式}$" + ] + }, + { + "cell_type": "markdown", + "id": "0e03b2a0-ce3e-4307-8aa3-046f3b00de15", + "metadata": {}, + "source": [ + "## 上下大括号" + ] + }, + { + "cell_type": "markdown", + "id": "4dd3cdf7-d268-48fa-97e6-c78e2331d249", + "metadata": {}, + "source": [ + "代码 | 符号\n", + "--- | ---\n", + "\\overbrace{a+b+c}^x | $\\overbrace{a+b+c}^x$\n", + "a+\\underbrace{b+c}_y | $a+\\underbrace{b+c}_y$" + ] + }, + { + "cell_type": "markdown", + "id": "8271bc55-d6a5-46c5-a220-1dae6b87302d", + "metadata": {}, + "source": [ + "## 上下标" + ] + }, + { + "cell_type": "markdown", + "id": "88c8d874-ba94-4b88-9a85-b2288e980b57", + "metadata": {}, + "source": [ + "代码 | 符号\n", + "--- | ---\n", + "A^m_n | $A^m_n$\n", + "A_n^m | $A_n^m$\n", + "x^2 | $x^2$\n", + "a_n | $a_n$\n", + "a_{n+1} | $a_{n+1}$\n", + "A^{B^C} | $A^{B^C}$\n", + "{A^B}^C | ${A^B}^C$" + ] + }, + { + "cell_type": "markdown", + "id": "3a1c9405-6fd7-4673-861d-20ce4a8a3921", + "metadata": {}, + "source": [ + "## 根号" + ] + }, + { + "cell_type": "markdown", + "id": "8ccc9cec-4f6a-441c-892b-99b21b2f2515", + "metadata": {}, + "source": [ + "代码 | 符号\n", + "--- | ---\n", + "\\sqrt{25} | $\\sqrt{25}$\n", + "\\sqrt[3]{27} | $\\sqrt[3]{27}$" + ] + }, + { + "cell_type": "markdown", + "id": "a66546a0-f409-4777-b022-19161de025c1", + "metadata": {}, + "source": [ + "## 分式" + ] + }, + { + "cell_type": "markdown", + "id": "92310f8a-64d0-4780-b16d-2805a4cb9baa", + "metadata": {}, + "source": [ + "代码 | 符号\n", + "--- | ---\n", + "\\frac{a+b}{a-b} | $\\frac{a+b}{a-b}$\n", + "\\frac{4}{5} | $\\frac{4}{5}$" + ] + }, + { + "cell_type": "markdown", + "id": "fc0e9179-199b-4df8-9370-4f104ded4ea4", + "metadata": {}, + "source": [ + "## 括号\n", + "\n", + "(), [] 直接使用，{ 和 } 有特殊含义，需要使用 \\{ 和 \\} 表示。尖括号使用:\n" + ] + }, + { + "cell_type": "markdown", + "id": "6eedab25-aded-4a94-84ce-619b812fba76", + "metadata": {}, + "source": [ + "代码 | 符号\n", + "--- | ---\n", + "\\langle | $\\langle$\n", + "\\rangle | $\\rangle$" + ] + }, + { + "cell_type": "markdown", + "id": "a9100a76-f081-4442-9b85-6c05c1816271", + "metadata": {}, + "source": [ + "## 求和" + ] + }, + { + "cell_type": "markdown", + "id": "ec43f531-1729-45a2-92ef-6eccc0a6fd66", + "metadata": {}, + "source": [ + "代码 | 符号\n", + "--- | ---\n", + "\\sum_{i=1}^n | $\\sum_{i=1}^n$\n", + "\\sum_{j=0}^k | $\\sum_{j=0}^k$" + ] + }, + { + "cell_type": "markdown", + "id": "93846beb-86fe-4f64-9758-a5df8e4ce453", + "metadata": {}, + "source": [ + "## 连乘" + ] + }, + { + "cell_type": "markdown", + "id": "eed403e2-3358-4dd6-811d-5c1590319d9f", + "metadata": {}, + "source": [ + "代码 | 符号\n", + "--- | ---\n", + "\\prod_{i=0}^nx | $\\prod_{i=0}^nx$" + ] + }, + { + "cell_type": "markdown", + "id": "9482bd16-f404-4f4d-8c8c-7b36981dc817", + "metadata": {}, + "source": [ + "## 积分" + ] + }, + { + "cell_type": "markdown", + "id": "60b9d6ad-3106-4d20-9f04-c0d12ab3207d", + "metadata": {}, + "source": [ + "代码 | 符号\n", + "--- | ---\n", + "\\int_0^x | $\\int_0^x$\n", + "\\iint_0^x | $\\iint_0^x$\n", + "\\iiint_0^x | $\\iiint_0^x$" + ] + }, + { + "cell_type": "markdown", + "id": "fccb3ffa-0221-4859-8241-5b6aeaae167f", + "metadata": {}, + "source": [ + "## 极限" + ] + }, + { + "cell_type": "markdown", + "id": "0fd69ae8-e7ac-47f7-9e43-4017fb4f0be9", + "metadata": {}, + "source": [ + "代码 | 符号\n", + "--- | ---\n", + "\\lim_{x \\to \\infty}(1 + \\frac{1}{x})^x | $\\lim_{x \\to \\infty}(1 + \\frac{1}{x})^x$" + ] + }, + { + "cell_type": "markdown", + "id": "2a078686-42b7-4a9b-b0b7-9d81a42f23d4", + "metadata": {}, + "source": [ + "## 换行等号对齐" + ] + }, + { + "cell_type": "markdown", + "id": "65c153ef-b805-4c58-89ed-cecf7bdafadd", + "metadata": {}, + "source": [ + "代码：\n", + "\n", + "```katex\n", + "\\begin{aligned}\n", + "19&=10+9 \\\\\n", + "&=11+8 \\\\\n", + "&=12+7\n", + "\\end{aligned}\n", + "```" + ] + }, + { + "cell_type": "markdown", + "id": "1fa3402d-3134-4361-a79f-c3ee735fc129", + "metadata": {}, + "source": [ + "符号：\n", + "$$\n", + "\\begin{aligned}\n", + "19&=10+9 \\\\\n", + "&=11+8 \\\\\n", + "&=12+7\n", + "\\end{aligned}\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "id": "f21e1657-3d3e-40d9-b282-30446ff74e25", + "metadata": {}, + "source": [ + "## 分类" + ] + }, + { + "cell_type": "markdown", + "id": "0a875e3a-c564-46c3-b5ec-a26d4c7f0f45", + "metadata": {}, + "source": [ + "代码：\n", + "\n", + "```\n", + "f(x)=\n", + "\\begin{cases}\n", + "x+1, &x<0\\\\\n", + "0, &x=0\\\\\n", + "2x-1, &x>0\n", + "\\end{cases}\n", + "```" + ] + }, + { + "cell_type": "markdown", + "id": "09ecc9f8-52f3-4af2-b51b-edda0f02a8cc", + "metadata": {}, + "source": [ + "符号：\n", + "\n", + "$$\n", + "f(x)=\n", + "\\begin{cases}\n", + "x+1, &x<0\\\\\n", + "0, &x=0\\\\\n", + "2x-1, &x>0\n", + "\\end{cases}\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "id": "88fc710b-7b01-44d3-b751-f2f4f778d5a6", + "metadata": {}, + "source": [ + "## 方程组" + ] + }, + { + "cell_type": "markdown", + "id": "670c8919-b251-453a-a56c-99f21758c3b9", + "metadata": {}, + "source": [ + "代码：\n", + "\n", + "```\n", + "\\left \\{\n", + "\\begin{array}{l} % l 靠左、c 居中、r 靠右\n", + "x+y+z=6 \\\\\n", + "2x-y+z=3 \\\\\n", + "x+y-z=0\n", + "\\end{array}\n", + "\\right.\n", + "```" + ] + }, + { + "cell_type": "markdown", + "id": "3b78b46a-c0da-456f-963c-32d4220c00f3", + "metadata": {}, + "source": [ + "符号：\n", + "\n", + "$$\n", + "\\left \\{\n", + "\\begin{array}{l} % l 靠左、c 居中、r 靠右\n", + "x+y+z=6 \\\\\n", + "2x-y+z=3 \\\\\n", + "x+y-z=0\n", + "\\end{array}\n", + "\\right.\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "id": "1ca19642-46e2-419a-b0e3-ed82fcde1542", + "metadata": {}, + "source": [ + "## 多列对齐" + ] + }, + { + "cell_type": "markdown", + "id": "e12ef27f-75b8-4266-9888-17aee3d9a504", + "metadata": {}, + "source": [ + "代码：\n", + "\n", + "```\n", + "\\begin{array}{l l} % l 靠左、c 居中、r 靠右\n", + "x+y+z=6 & x+y+z=6\\\\\n", + "2x-y+z=3 & 2x-y+z=3 \\\\\n", + "x+y-z=0 & x+y-z=0\n", + "\\end{array}\n", + "```\n", + "\n", + "符号：\n", + "\n", + "$$\n", + "\\begin{array}{l l} % l 靠左、c 居中、r 靠右\n", + "x+y+z=6 & x+y+z=6\\\\\n", + "2x-y+z=3 & 2x-y+z=3 \\\\\n", + "x+y-z=0 & x+y-z=0\n", + "\\end{array}\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "id": "aff1a7d0-cbef-43ad-9a18-ca6a21a7e3e4", + "metadata": {}, + "source": [ + "## 矩阵" + ] + }, + { + "cell_type": "markdown", + "id": "271c5d70-774f-46cf-93d3-f3ec021fcfb3", + "metadata": {}, + "source": [ + "代码：\n", + "\n", + "```\n", + "\\begin{matrix}\n", + "1&2&3 \\\\\n", + "4&5&6 \\\\\n", + "7&8&9\n", + "\\end{matrix}\n", + "```\n", + "\n", + "符号：\n", + "\n", + "$$\n", + "\\begin{matrix}\n", + "1&2&3 \\\\\n", + "4&5&6 \\\\\n", + "7&8&9\n", + "\\end{matrix}\n", + "$$\n", + "\n", + "\n", + "代码：\n", + "\n", + "```\n", + "\\left \\{\n", + "\\begin{matrix}\n", + "1&2&3 \\\\\n", + "4&5&6 \\\\\n", + "7&8&9\n", + "\\end{matrix}\n", + "\\right \\}\n", + "```\n", + "\n", + "符号：\n", + "\n", + "$$\n", + "\\left \\{\n", + "\\begin{matrix}\n", + "1&2&3 \\\\\n", + "4&5&6 \\\\\n", + "7&8&9\n", + "\\end{matrix}\n", + "\\right \\}\n", + "$$\n", + "\n", + "代码：\n", + "\n", + "```\n", + "\\left |\n", + "\\begin{matrix}\n", + "1&2&3 \\\\\n", + "4&5&6 \\\\\n", + "7&8&9\n", + "\\end{matrix}\n", + "\\right |\n", + "```\n", + "\n", + "符号：\n", + "\n", + "$$\n", + "\\left |\n", + "\\begin{matrix}\n", + "1&2&3 \\\\\n", + "4&5&6 \\\\\n", + "7&8&9\n", + "\\end{matrix}\n", + "\\right |\n", + "$$\n", + "\n", + "\n", + "代码：\n", + "\n", + "```\n", + "\\left (\n", + "\\begin{matrix}\n", + "1&2&3 \\\\\n", + "4&5&6 \\\\\n", + "7&8&9\n", + "\\end{matrix}\n", + "\\right )\n", + "```\n", + "\n", + "符号：\n", + "\n", + "$$\n", + "\\left (\n", + "\\begin{matrix}\n", + "1&2&3 \\\\\n", + "4&5&6 \\\\\n", + "7&8&9\n", + "\\end{matrix}\n", + "\\right )\n", + "$$\n", + "\n", + "上面是使用 \\left 和 \\right 来添加的左右括号，也可以不用这对符号，将 \\begin 和 \\end 后面的词分别换为 pmatrix、bmatrix、Bmatrix、vmatrix、Vmatrix，分别对应小括号、中括号、大括号、单竖线、双竖线，如：\n", + "\n", + "代码：\n", + "\n", + "```\n", + "\\begin{pmatrix}\n", + "1&2&3 \\\\\n", + "4&5&6 \\\\\n", + "7&8&9\n", + "\\end{pmatrix}\n", + "```\n", + "\n", + "符号：\n", + "\n", + "$$\n", + "\\begin{pmatrix}\n", + "1&2&3 \\\\\n", + "4&5&6 \\\\\n", + "7&8&9\n", + "\\end{pmatrix}\n", + "$$\n", + "\n", + "\n", + "代码：\n", + "\n", + "```\n", + "\\begin{array} {c c | c} % c 居中，r 右对齐，l 左对齐，竖线为插入竖线的位置\n", + "1&2&3 \\\\\n", + "\\hline % 插入横线\n", + "4&5&6 \\\\\n", + "7&8&9\n", + "\\end{array}\n", + "```\n", + "\n", + "符号：\n", + "\n", + "$$\n", + "\\begin{array} {c c | c} % c 居中，r 右对齐，l 左对齐，竖线为插入竖线的位置\n", + "1&2&3 \\\\\n", + "\\hline % 插入横线\n", + "4&5&6 \\\\\n", + "7&8&9\n", + "\\end{array}\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "id": "ecc4b692-8c48-4a8d-844f-edafce6cac57", + "metadata": {}, + "source": [ + "## 表格" + ] + }, + { + "cell_type": "markdown", + "id": "aa346fa7-497c-49f3-8f24-477ebf4ccf4c", + "metadata": {}, + "source": [ + "代码：\n", + "\n", + "```\n", + "\\begin{array}{c|lcr}\n", + "n & \\text{Left} & \\text{Center} & \\text{Right} \\\\\n", + "\\hline\n", + "1 & 2 & 1 & 4 \\\\\n", + "4 & 3 & 2 & 1 \\\\\n", + "1.0 & 2.0 & 3000 & 3\\times10^5 \\\\\n", + "\\end{array}\n", + "```\n", + "\n", + "符号：\n", + "\n", + "$$\n", + "\\begin{array}{c|lcr}\n", + "n & \\text{Left} & \\text{Center} & \\text{Right} \\\\\n", + "\\hline\n", + "1 & 2 & 1 & 4 \\\\\n", + "4 & 3 & 2 & 1 \\\\\n", + "1.0 & 2.0 & 3000 & 3\\times10^5 \\\\\n", + "\\end{array}\n", + "$$\n", + "\n", + "代码：\n", + "\n", + "```\n", + "\\begin{array}{|c|c|}\n", + "\\hline\n", + "\\text{公式1} & \\text{公式2} \\\\\n", + "\\hline\n", + "\\begin{aligned}\n", + "a &= b + c \\\\\n", + " &= d + e\n", + "\\end{aligned}\n", + "&\n", + "\\begin{aligned}\n", + "f &= g + h \\\\\n", + " &= i + j\n", + "\\end{aligned} \\\\\n", + "\\hline\n", + "\\end{array}\n", + "```\n", + "\n", + "符号：\n", + "\n", + "$$\n", + "\\begin{array}{|c|c|}\n", + "\\hline\n", + "\\text{公式1} & \\text{公式2} \\\\\n", + "\\hline\n", + "\\begin{aligned}\n", + "a &= b + c \\\\\n", + " &= d + e\n", + "\\end{aligned}\n", + "&\n", + "\\begin{aligned}\n", + "f &= g + h \\\\\n", + " &= i + j\n", + "\\end{aligned} \\\\\n", + "\\hline\n", + "\\end{array}\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "id": "51bd567e-312d-46f2-9421-10fd03b2a542", + "metadata": {}, + "source": [ + "## 字体" + ] + }, + { + "cell_type": "markdown", + "id": "dac885d1-98d8-4abb-ae0c-25132d388292", + "metadata": {}, + "source": [ + "### 黑板粗体\n", + "\n", + "一般用于表示数学和物理学中的向量或集合" + ] + }, + { + "cell_type": "markdown", + "id": "f87d8abf-627a-47f9-bc71-d0221841a2b4", + "metadata": {}, + "source": [ + "代码：\n", + "\n", + "```\n", + "\\mathbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \n", + "```\n", + "\n", + "符号：\n", + "\n", + "$$\n", + "\\mathbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \n", + "$$\n", + "\n", + "代码：\n", + "\n", + "```\n", + "\\mathbb{abcdefghijklmnopqrstuvwxyz} \n", + "```\n", + "\n", + "符号：\n", + "\n", + "$$\n", + "\\mathbb{abcdefghijklmnopqrstuvwxyz} \n", + "$$" + ] + }, + { + "cell_type": "markdown", + "id": "95c86702-5f4a-44a8-8919-9b70d30ad906", + "metadata": {}, + "source": [ + "### 正粗体" + ] + }, + { + "cell_type": "markdown", + "id": "079faa47-e6d9-4b3a-b2ce-fedb1cce8d48", + "metadata": {}, + "source": [ + "代码：\n", + "\n", + "```\n", + "\\mathbf{ABCDEFGHIJKLMNOPQRSTUVWXYZ}\n", + "```\n", + "\n", + "符号：\n", + "\n", + "$$\n", + "\\mathbf{ABCDEFGHIJKLMNOPQRSTUVWXYZ}\n", + "$$\n", + "\n", + "代码：\n", + "\n", + "```\n", + "\\mathbf{abcdefghijklmnopqrstuvwxyz} \n", + "```\n", + "\n", + "符号：\n", + "\n", + "$$\n", + "\\mathbf{abcdefghijklmnopqrstuvwxyz} \n", + "$$" + ] + }, + { + "cell_type": "markdown", + "id": "d9361e73-edf0-4083-b27a-de142c903f7b", + "metadata": {}, + "source": [ + "### 罗马体" + ] + }, + { + "cell_type": "markdown", + "id": "cfb50dd1-5244-474f-81a8-3281a757863e", + "metadata": {}, + "source": [ + "代码：\n", + "\n", + "```\n", + "\\mathrm{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \n", + "```\n", + "\n", + "符号：\n", + "\n", + "$$\n", + "\\mathrm{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \n", + "$$\n", + "\n", + "代码：\n", + "\n", + "```\n", + "\\mathrm{abcdefghijklmnopqrstuvwxyz} \n", + "```\n", + "\n", + "符号：\n", + "\n", + "$$\n", + "\\mathrm{abcdefghijklmnopqrstuvwxyz} \n", + "$$" + ] + }, + { + "cell_type": "markdown", + "id": "deaaca62-b655-4073-859c-ff93d121908f", + "metadata": {}, + "source": [ + "### 哥特体" + ] + }, + { + "cell_type": "markdown", + "id": "27cd1b6c-3815-471a-952a-e0fba184b3a6", + "metadata": {}, + "source": [ + "代码：\n", + "\n", + "```\n", + "\\mathfrak{ABCDEFGHIJKLMNOPQRSTUVWXYZ}\n", + "```\n", + "\n", + "符号：\n", + "\n", + "$$\n", + "\\mathfrak{ABCDEFGHIJKLMNOPQRSTUVWXYZ}\n", + "$$\n", + "\n", + "代码：\n", + "\n", + "```\n", + "\\mathfrak{abcdefghijklmnopqrstuvwxyz} \n", + "```\n", + "\n", + "符号：\n", + "\n", + "$$\n", + "\\mathfrak{abcdefghijklmnopqrstuvwxyz} \n", + "$$" + ] + }, + { + "cell_type": "markdown", + "id": "b1abf3d6-b3d5-41a3-8417-9efe1bfff4ef", + "metadata": {}, + "source": [ + "### 打印体" + ] + }, + { + "cell_type": "markdown", + "id": "a80530a9-271f-4327-ba0a-0b8523016e6d", + "metadata": {}, + "source": [ + "代码：\n", + "\n", + "```\n", + "\\mathtt{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \n", + "```\n", + "\n", + "符号：\n", + "\n", + "$$\n", + "\\mathtt{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \n", + "$$\n", + "\n", + "代码：\n", + "\n", + "```\n", + "\\mathtt{abcdefghijklmnopqrstuvwxyz}\n", + "```\n", + "\n", + "符号：\n", + "\n", + "$$\n", + "\\mathtt{abcdefghijklmnopqrstuvwxyz}\n", + "$$\n" + ] + }, + { + "cell_type": "markdown", + "id": "f9c9c64a-586c-404c-80e6-7862c6ed9998", + "metadata": {}, + "source": [ + "### 手写体" + ] + }, + { + "cell_type": "markdown", + "id": "5d406932-cd0f-46b8-819e-d02677614b57", + "metadata": {}, + "source": [ + "代码：\n", + "\n", + "```\n", + "\\mathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \n", + "```\n", + "\n", + "符号：\n", + "\n", + "$$\n", + "\\mathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \n", + "$$\n", + "\n", + "代码：\n", + "\n", + "```\n", + "\\mathcal{abcdefghijklmnopqrstuvwxyz} \n", + "```\n", + "\n", + "符号：\n", + "\n", + "$$\n", + "\\mathcal{abcdefghijklmnopqrstuvwxyz} \n", + "$$" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.12" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/mkdocs.yml b/mkdocs.yml index f35d8e4..477218e 100644 --- a/mkdocs.yml +++ b/mkdocs.yml @@ -243,6 +243,7 @@ nav: - Makefile: cheatsheet/makefile.md - GDB: cheatsheet/gdb.md - CMake: cheatsheet/cmake.md + - Katex: cheatsheet/KaTex常用公式编辑.ipynb - QA: - redis: qa/redis.md - mysql: qa/mysql.md