simpy做数学题.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "# sympy，一个可以做数学题的Python库"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "sympy 是 symbolic python 的简称，也就是一个支持代数符号计算的python库。\n",
    "\n",
    "它可以用来帮助我们解决从初中数学到高等数学的各类问题，包括但不限于:\n",
    "\n",
    "* 表达式化简，因式分解，方程求解，不等式求解。\n",
    "  \n",
    "* 求极限，求导，求积分，级数展开，解微分方程，级数求和。\n",
    "\n",
    "* 求概率，求期望，方差。\n",
    "  \n",
    "* 矩阵乘法，求行列式，矩阵求逆，矩阵分解。\n",
    "\n",
    "它的设计思想非常像强大的数学软件mathematica。\n",
    "\n",
    "我一般把它理解成一个python版的mathematica~ \n",
    "\n",
    "本文将先演示sympy的基础使用范例，然后讲解sympy的原理。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 〇，基本范例演示"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sympy\n",
    "from sympy import sqrt,log,exp,sin,cos,tan,cot,Eq\n",
    "from sympy import S,oo,pi\n",
    "# 定义一些常见的代数符号\n",
    "x,y,z,a,b,c = sympy.symbols('x,y,z,a,b,c')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{x - 1}{x^{2} + 1}$"
      ],
      "text/plain": [
       "(x - 1)/(x**2 + 1)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#定义一个函数\n",
    "f = sympy.Lambda(x,(x-1)/(x**2+1))\n",
    "f(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#求方程 f(x)==0 \n",
    "sympy.solve(f(x),x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 0$"
      ],
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#求极限 limit(f(x),x->∞)\n",
    "sympy.limit(f(x),x,oo)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle - \\frac{2 x \\left(x - 1\\right)}{\\left(x^{2} + 1\\right)^{2}} + \\frac{1}{x^{2} + 1}$"
      ],
      "text/plain": [
       "-2*x*(x - 1)/(x**2 + 1)**2 + 1/(x**2 + 1)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#求导数\n",
    "sympy.diff(f(x),x) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{\\log{\\left(x^{2} + 1 \\right)}}{2} - \\operatorname{atan}{\\left(x \\right)}$"
      ],
      "text/plain": [
       "log(x**2 + 1)/2 - atan(x)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#求积分\n",
    "sympy.integrate(f(x),x) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle -1 + x + x^{2} - x^{3} - x^{4} + O\\left(x^{5}\\right)$"
      ],
      "text/plain": [
       "-1 + x + x**2 - x**3 - x**4 + O(x**5)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#求级数展开 \n",
    "sympy.series(f(x),x,0,5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 一，符号和数字"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1， 定义符号"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以从 sympy.abc直接导入单字母。\n",
    "\n",
    "可以用sympy.symbols定义多个符号。\n",
    "\n",
    "可以用sympy.var 声明符号。\n",
    "\n",
    "支持希腊字母，支持下标符号。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sympy.abc import p,q,r"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义符号\n",
    "x,y,z,a,b,c = sympy.symbols('x,y,z,a,b,c')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\lambda + \\rho^{2}$"
      ],
      "text/plain": [
       "lambda + rho**2"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#使用希腊字母\n",
    "l, r = sympy.symbols('lambda rho')\n",
    "l + r**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'\\\\left(p + q + \\\\rho\\\\right)^{2}'"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#获取latex代码\n",
    "sympy.latex((p+q+r)**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x_{1}$"
      ],
      "text/plain": [
       "x_1"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#声明 x_1, z_1 为符号\n",
    "#可以使用下标\n",
    "sympy.var('x_1  z_1')\n",
    "x_1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 0$"
      ],
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sympy.sin(pi)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<style>\n",
    ".td{width:100px;overflow:hidden}\n",
    "</style>\n",
    "<table  style=\"width:100%\">\n",
    "<thead>\n",
    "<tr>\n",
    "  <th>假设的关键字参数</th>\n",
    "  <th>属性</th>\n",
    "  <th>描述</th>\n",
    "</tr>\n",
    "</thead>\n",
    "<tbody><tr>\n",
    "  <td>real, imaginary</td>\n",
    "  <td>is_real, is_imaginary</td>\n",
    "  <td>指定一个符号代表实数或虚数</td>\n",
    "</tr>\n",
    "<tr>\n",
    "  <td>positive, negative</td>\n",
    "  <td>is_positive, is_negative</td>\n",
    "  <td>指定一个符号代表正数或负数</td>\n",
    "</tr>\n",
    "<tr>\n",
    "  <td>integer</td>\n",
    "  <td>is_integer</td>\n",
    "  <td>该符号代表整数</td>\n",
    "</tr>\n",
    "<tr>\n",
    "  <td>odd, even</td>\n",
    "  <td>is_odd, is_even</td>\n",
    "  <td>该符号代表奇数或偶数</td>\n",
    "</tr>\n",
    "<tr>\n",
    "  <td>prime</td>\n",
    "  <td>is_prime</td>\n",
    "  <td>该符号代表质数</td>\n",
    "</tr>\n",
    "<tr>\n",
    "  <td>finite, infinite</td>\n",
    "  <td>is_finite, is_infinite</td>\n",
    "  <td>该符号代表有限或无限</td>\n",
    "</tr>\n",
    "</tbody></table>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "m = sympy.Symbol('m',real = True)\n",
    "n = sympy.Symbol('n',integer = True)\n",
    "t = sympy.Symbol('t')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m.is_real\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "t.is_positive"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2，定义数字"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "sympy里的定义的符号数字可以是任意精度的。\n",
    "\n",
    "可以用Integer,Float,Rational等类定义符号数字，也可以用S定义符号数字。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sympy import S "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "i = S(19)\n",
    "type(i)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "sympy.core.numbers.Float"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "u = S(3.2)\n",
    "type(u)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{3}{17}$"
      ],
      "text/plain": [
       "3/17"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v = S('3/17')\n",
    "v"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\sqrt{2}$"
      ],
      "text/plain": [
       "sqrt(2)"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "S('sqrt(2)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3， 获取数值结果"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用sympy.N或者表达式的n()方法，或者evalf()等方法可以将表达式转换成数值结果。\n",
    "\n",
    "如果要获得表达式对多个数值计算的结果，可以用lambdify将表达式中的函数转换成对应的numpy函数。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sympy import pi,sin,cos,exp,sqrt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 3.141592654$"
      ],
      "text/plain": [
       "3.141592654"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pi.n(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 3.141592654$"
      ],
      "text/plain": [
       "3.141592654"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pi.evalf(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle -2.0 \\cdot 10^{-155}$"
      ],
      "text/plain": [
       "-0.e-155"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(sin(x)**2 + cos(x)**2 - 1).subs({x:1}).n(10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "设置chop= True还可以将精度导致的小尾巴割掉。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 0$"
      ],
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(sin(x)**2 + cos(x)**2 - 1).subs({x:1}).evalf(chop = True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "将符号函数转换成对应数值函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.        ,  1.27051671,  1.40335322,  1.38411464,  1.21488575,\n",
       "        0.91400515,  0.5140779 ,  0.05844234, -0.40352636, -0.82176671,\n",
       "       -1.15095589, -1.35542114, -1.41300548, -1.31746875, -1.07916384,\n",
       "       -0.72391478, -0.29021832,  0.1749278 ,  0.62111777,  1.        ])"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np \n",
    "\n",
    "a = np.linspace(0,2*np.pi,20)\n",
    "\n",
    "f = sin(x) + cos(x)\n",
    "\n",
    "fn = sympy.lambdify(x,f,modules = 'numpy')\n",
    "\n",
    "fn(a)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 二，表达式和函数"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1，定义表达式"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "符号的运算组合构成表达式，表达式是一种树形结构，由 func和args组成，表达式可以嵌套。\n",
    "\n",
    "含有symbols符号的算式会自动对常见的四则运算和乘方等运算符进行重载。\n",
    "\n",
    "使用sympy.sympify可以将字符串转换成对应的表达式。\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sympy\n",
    "from sympy import S\n",
    "x,y,z,a,b,c = sympy.symbols('x,y,z,a,b,c')\n",
    "expr = a*x**2 + b*x + c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "sympy.core.add.Add"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "expr.func  # 相当于mathematica中表达式的Head"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(c, a*x**2, b*x)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "expr.args # 相当于mathematica中表达式的Parts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 以下为恒等式\n",
    "expr.func(*expr.args) == expr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle a x^{2} + b x + c$"
      ],
      "text/plain": [
       "a*x**2 + b*x + c"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#使用S从字符串定义表达式\n",
    "expr = sympy.S(\"a*x**2 + b*x + c\")\n",
    "expr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Hold[Integrate[x^2, {x, 0, 2}]]'"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 转换为mathematica中表达式\n",
    "sympy.mathematica_code(sympy.Integral(x**2,(x,0,2)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2，定义函数"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "函数是从一组参数符号到一个表达式的映射。\n",
    "\n",
    "There are three types of functions implemented in SymPy:\n",
    "\n",
    "1) defined functions (in the sense that they can be evaluated) like\n",
    "   exp or sin; they have a name and a body:\n",
    "       $$f = exp$$\n",
    "       \n",
    "2) undefined function which have a name but no body. Undefined\n",
    "   functions can be defined using a Function class as follows:\n",
    "       $$f = Function('f')$$\n",
    "   (the result will be a Function instance)\n",
    "   \n",
    "3) anonymous function (or lambda function) which have a body (defined\n",
    "   with dummy variables) but have no name:\n",
    "       $$f = Lambda(x, exp(x)*x)$$\n",
    "       $$f = Lambda((x, y), exp(x)*y)$$\n",
    "       \n",
    "The fourth type of functions are composites, like $(sin + cos)(x)$; these work in\n",
    "SymPy core, but are not yet part of SymPy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{d^{2}}{d x^{2}} f{\\left(x \\right)}$"
      ],
      "text/plain": [
       "Derivative(f(x), (x, 2))"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import sympy\n",
    "\n",
    "#Function定义函数：需要自定义eval才有body\n",
    "f = sympy.Function('f')\n",
    "f(x).diff(x).diff(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\int\\limits_{1}^{10} g{\\left(x,y \\right)}\\, dx$"
      ],
      "text/plain": [
       "Integral(g(x, y), (x, 1, 10))"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g = sympy.Function('g')\n",
    "g(x,y).integrate((x,1,10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sympy import Function, S, oo, I, sin\n",
    "class sinxtox(sympy.Function):\n",
    "    @classmethod\n",
    "    def eval(cls, x):\n",
    "        if x is S(0):\n",
    "            return S(1)\n",
    "        elif x is S('oo'):\n",
    "             return S('0')\n",
    "        else:\n",
    "            return sin(x)/x\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 1$"
      ],
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sinxtox(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 0$"
      ],
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sinxtox(oo)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{1}{e^{x} + 1}$"
      ],
      "text/plain": [
       "1/(exp(x) + 1)"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import sympy \n",
    "\n",
    "#Lambda定义函数：无名字有body\n",
    "g = sympy.Lambda(x,1/(sympy.exp(x) + 1)) \n",
    "g(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# g.__name__ 将会报错"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle - \\frac{e^{x}}{\\left(e^{x} + 1\\right)^{2}} + \\frac{2 e^{2 x}}{\\left(e^{x} + 1\\right)^{3}}$"
      ],
      "text/plain": [
       "-exp(x)/(exp(x) + 1)**2 + 2*exp(2*x)/(exp(x) + 1)**3"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g(x).diff(x).diff(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\log{\\left(2 \\right)}$"
      ],
      "text/plain": [
       "log(2)"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g(x).integrate((x,0,oo))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "sympy.core.function.Lambda"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(g)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "以下定义函数的方式效果和lambda类似"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "h = lambda p,p_:p*sympy.log(p_) + (1-p)*sympy.log(1-p_) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'<lambda>'"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "h.__name__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{x}{y} - \\frac{1 - x}{1 - y}$"
      ],
      "text/plain": [
       "x/y - (1 - x)/(1 - y)"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "h(x,y).diff(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "function"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(h)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3，表达式操控\n",
    "\n",
    "下面介绍表达式的因式分解，展开，化简，合并同类项，替换 等操作\n",
    "\n",
    "simplify, factor, expand, collect, apart,together, subs,xreplace, rewrite\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 1$"
      ],
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import sympy\n",
    "from sympy import S\n",
    "from sympy import sin,cos,tan,cot,exp,log\n",
    "### 化简\n",
    "expr = sin(x)**2 + cos(x)**2\n",
    "#expr.simplify()\n",
    "sympy.simplify(expr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left(x - 1\\right) \\left(x^{2} + x + 1\\right)$"
      ],
      "text/plain": [
       "(x - 1)*(x**2 + x + 1)"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "### 因式分解\n",
    "expr = x**3 - 1\n",
    "factors = sympy.factor(expr)\n",
    "factors "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x^{3} - 1$"
      ],
      "text/plain": [
       "x**3 - 1"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "### 展开\n",
    "sympy.expand(factors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x^{2} + 2 x + 1$"
      ],
      "text/plain": [
       "x**2 + 2*x + 1"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "### 替换\n",
    "expr = a*x**2 + b*x + c\n",
    "expr.subs({a:1,b:2,c:1})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{2 x - 1}{x^{2} + x + 1} - \\frac{1}{x + 4} + \\frac{3}{x}$"
      ],
      "text/plain": [
       "(2*x - 1)/(x**2 + x + 1) - 1/(x + 4) + 3/x"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# apart 分式展开\n",
    "expr = (4*x**3 + 21*x**2 + 10*x + 12)/(x**4 + 5*x**3 + 5*x**2 + 4*x)\n",
    "ans = sympy.apart(expr)\n",
    "ans "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{4 x^{3} + 21 x^{2} + 10 x + 12}{x \\left(x^{3} + 5 x^{2} + 5 x + 4\\right)}$"
      ],
      "text/plain": [
       "(4*x**3 + 21*x**2 + 10*x + 12)/(x*(x**3 + 5*x**2 + 5*x + 4))"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# together 分式合并\n",
    "ans.together().expand().together()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle a x^{2} z + x^{3} + x^{2} y + 5 x + y^{2}$"
      ],
      "text/plain": [
       "a*x**2*z + x**3 + x**2*y + 5*x + y**2"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "### 合并同类项\n",
    "expr = x**3 + x**2*y + a*x**2*z + y**2 + 5*x \n",
    "expr "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x^{3} + x^{2} \\left(a z + y\\right) + 5 x + y^{2}$"
      ],
      "text/plain": [
       "x**3 + x**2*(a*z + y) + 5*x + y**2"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result = sympy.collect(expr,x)\n",
    "result "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{x**3: 1, x: 5, x**2: a*z + y, 1: y**2}"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "expr_dic  = sympy.collect(expr,x,evaluate= False)\n",
    "expr_dic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle a z + y$"
      ],
      "text/plain": [
       "a*z + y"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "expr_dic[x**2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle y^{2} + y$"
      ],
      "text/plain": [
       "y**2 + y"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(x**2 + x**4).subs(x**2, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "xreplace只会替换表达式中完全相同的项"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x^{4} + y$"
      ],
      "text/plain": [
       "x**4 + y"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(x**2 + x**4).xreplace({x**2: y})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "普通替换在逐个执行替换后会计算一次"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 1$"
      ],
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "((x + y)/y).subs({x + y: y, y: x + y})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用simultaneous让各个替换同时完成后进行计算"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{y}{x + y}$"
      ],
      "text/plain": [
       "y/(x + y)"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "((x + y)/y).subs({x + y: y, y: x + y}, simultaneous=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "rewrite 可以应用数学恒等变换对表达式中的一些函数，用其它函数改写。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{2 \\tan{\\left(\\frac{x}{2} \\right)}}{\\tan^{2}{\\left(\\frac{x}{2} \\right)} + 1}$"
      ],
      "text/plain": [
       "2*tan(x/2)/(tan(x/2)**2 + 1)"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sin(x).rewrite(tan)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x^{2} + \\frac{1 - \\tan^{2}{\\left(\\frac{x}{2} \\right)}}{\\tan^{2}{\\left(\\frac{x}{2} \\right)} + 1} + \\frac{2 \\tan{\\left(x \\right)}}{\\tan^{2}{\\left(x \\right)} + 1}$"
      ],
      "text/plain": [
       "x**2 + (1 - tan(x/2)**2)/(tan(x/2)**2 + 1) + 2*tan(x)/(tan(x)**2 + 1)"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(sin(2*x) + cos(x) + x**2).rewrite([sin,cos],tan)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle - \\frac{i \\left(e^{i x} - e^{- i x}\\right)}{2}$"
      ],
      "text/plain": [
       "-I*(exp(I*x) - exp(-I*x))/2"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sin(x).rewrite(exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\Gamma\\left(x + 1\\right)$"
      ],
      "text/plain": [
       "gamma(x + 1)"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sympy.factorial(x).rewrite(sympy.gamma)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 三，方程和不等式"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1，方程求解"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "方程求解有solve,solveset,linsolve等函数可以使用。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sympy\n",
    "from sympy import S, oo, pi, I, Eq \n",
    "from sympy import log,exp,sin,cos,tan,cot\n",
    "sympy.init_printing()\n",
    "x,y,z,a,b,c = sympy.symbols('x,y,z,a,b,c')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[ 1, \\  - \\frac{1}{2} - \\frac{\\sqrt{3} i}{2}, \\  - \\frac{1}{2} + \\frac{\\sqrt{3} i}{2}\\right]$"
      ],
      "text/plain": [
       "⎡     1   √3⋅ⅈ    1   √3⋅ⅈ⎤\n",
       "⎢1, - ─ - ────, - ─ + ────⎥\n",
       "⎣     2    2      2    2  ⎦"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#解方程 x**3-1==0\n",
    "equation = x**3 -1 \n",
    "sympy.solve(equation,x)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[ \\left( - \\frac{2}{5} + \\frac{2 \\sqrt{46}}{5}, \\  \\frac{4}{5} + \\frac{\\sqrt{46}}{5}\\right), \\  \\left( - \\frac{2 \\sqrt{46}}{5} - \\frac{2}{5}, \\  \\frac{4}{5} - \\frac{\\sqrt{46}}{5}\\right)\\right]$"
      ],
      "text/plain": [
       "⎡⎛  2   2⋅√46  4   √46⎞  ⎛  2⋅√46   2  4   √46⎞⎤\n",
       "⎢⎜- ─ + ─────, ─ + ───⎟, ⎜- ───── - ─, ─ - ───⎟⎥\n",
       "⎣⎝  5     5    5    5 ⎠  ⎝    5     5  5    5 ⎠⎦"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#解方程组\n",
    "ans = sympy.solve((x**2 + y**2-10,2*y - x - 2),[x,y])\n",
    "ans "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[ \\left[ 2.31293199325011, \\  2.15646599662505\\right], \\  \\left[ -3.11293199325011, \\  -0.556465996625054\\right]\\right]$"
      ],
      "text/plain": [
       "[[2.31293199325011, 2.15646599662505], [-3.11293199325011, -0.556465996625054]]"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[[x.n() for x in y] for y in ans]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[ \\frac{\\pi}{6}, \\  \\frac{5 \\pi}{6}\\right]$"
      ],
      "text/plain": [
       "⎡π  5⋅π⎤\n",
       "⎢─, ───⎥\n",
       "⎣6   6 ⎦"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sympy.solve(2* sin(x)-1,x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left\\{\\left( \\frac{13}{7}, \\  - \\frac{4}{7}\\right)\\right\\}$"
      ],
      "text/plain": [
       "{(13/7, -4/7)}"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# linsolve可以求解线性方程组\n",
    "result = sympy.linsolve([x*2 + y*3 -2, x*3+y-5],x,y)\n",
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left\\{\\left( - y - 1, \\  y, \\  2\\right)\\right\\}$"
      ],
      "text/plain": [
       "{(-y - 1, y, 2)}"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sympy.linsolve(sympy.Matrix(([1, 1, 1, 1], [1, 1, 2, 3])), (x, y, z))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAKUAAAAVCAYAAAAn4S6vAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy80BEi2AAAACXBIWXMAABJ0AAASdAHeZh94AAAF2UlEQVR4nO2beaxdUxSHv2oTpGipxFA0hihiLkpElbZUxKyRGGqKKaRqjqC/96sY/uhgDIJ4gqRIhQQhEq2haKs0pkpLPKoqbc3z+Pyx90lfzztT372377bel7zse89eZ6911l1nn7XXPq9Xe3s7PfTQTKzX3Qb00EOaPkWdtk8FxgG7AhsBQyTNz5B7GDgK2F7SLw2ws4cmx/YQ4G3gPEkP5Mi0ANcB3wBvAVdLWpiWyw1K27sBjwK/AE8CS4CvM+T2B84Arvw/BKTtk4FDgb2BvYCNgccknd6ddtUT2wOAE4CjgT2AgcCfwPvAQ8BDkv7teI6kebafBm60PU3SzxlDzwQ2IPjuOGBr4IC0UNFMeRjQC7hO0h0FcjcBPwL3FMisS1xPCMafgS+BXbrXnIYwhvB7LgVmAF8AWwAnAg8AR9keIym9ILkFmE14ut6cHlTSTEJgYnsesJ/tjdIBXJRTbhbbBXkCtncGRgJPSPqtYKx1icuAnYFNgIu62ZZGsRA4FthG0mmSrpV0DuEGXAycRAjQVZA0B/gYuMB22XrlY8Kkt2m6o2im7B3bvwpkzokDP15iQJewfTkwmZAaTM7oHwy8B8yWNKwRNqSRNKOD/jWhco37QdLLOce/tn0v4ek4HJieITYNaAFGAS8WqEniqne6o9bV90jgH0LS2ghmxfbAnP47CRd1SYP0NwvN5IckmP7O6U9sHdVVBUVB2T+2mY9l230JCeuCBi5w3on6h2boH0O48Lslvdcg/c1CU/jBdh9gbPz6Qo7Y3NiWzdi/x7ZfuiMzKG33Ag4B2oHPcwYdSLg7l5Yo7zKS/iJc5La2t+pgX19gCrAMmNAo/c1CE/nhVmB34HlJmY9mST8QAm67krHaYjs83bFKTml7NOGuGwbsC9wnqVMZKDIgtt/labXdBgwqMa4jWaWVWdGeg4Cn4rEJwDbA2dEJudTJhmagJj/Uiu1xwBWEBcoZJeLfElbrRTwCXAhMsn0wsAi4X1JbeqEzGrg0fv6AkKvkkTzWNyiQ+ZSV03QVvso4luQoQ4GnbO9CWAG/CTxcYcx62NAM1OqHLmP7EuB24CNghKRvS07ZkJy0L0HSEtu3AFMJJSiAl4BVg1LSeNsTCDXKacCLtgdJ+idj3GWxHZDRl4w3osT4KrxBSCOSJP8uQtpwcUadrFE2NAM1+aGr2B5PCJwPCAG5rER+PcJ65LMSuaOBewk32wXAwpimdM4pJf0o6RnCcn8gYYsxi6XAcmBwkfJakfQdoVY6JG57jiCkFe82Um+z0R1+sH0NISDnA4eVBWRkMKFMOL9E7vDYtkj6MAlIKF59JwuczbI64935KrC57Z0qGFsLrwN9gfuAFYT907UG2622222fVeNQlfxQD322byAsbOYRZsgVFU9NZvIZhVIri+Zt6Y6i4nkSuUWBO51Q3T8S+KTEiFqYBZxPeCnksjhrdAu2jweOj1+3jO1Btlvj5xWSrkydlvgwr7ZXlap+qEmf7TOBiYQa9GvAuIyNgjZJrRmnHxHPe6ZETa6NRUFZJU+ZTsgtxwJ3V5DvKkl+Mhd4sIF6qrA3cGbq2A7xD8ITJh2UewA/Ac/VqLuqH2rVt31sewPjc2ReAVo7HrDdj3DDPitpcUVdneKsKCj/iG2nvckESX/avg242fY+DcxvrgL+pcFJfRUktRC20Sphuz+wJzC5DjN8qR/qoW91r7EDYwnVmEkVZJO46lQZKQrKRbE91/bbwJL060qRqYR600TgmArGrBYxqT+GsGMxt0y+CTmEkApNqWWQ1fBDXfStLrY3BK4Fpkt6vUBufcJbVsMJb5ctT8v0yvt3iKhkDqGCn7BPzku+wwhlpEn12HK0vR1wKrAj4e5bBBwg6ddax16bWJv8YHtX4BSgVVJbjkwLoA6HWiR1SlZzZ0pJv9nej7B0T948z9zdkfQqYSVeL0YT3s37npAwj2/GH2INsNb4QdICyh/5MwkLm2+AN7MmOID/AM6YQGJm4aU2AAAAAElFTkSuQmCC",
      "text/latex": [
       "$\\displaystyle \\left\\{\\left( - y - 1, \\  y, \\  2\\right)\\right\\}$"
      ],
      "text/plain": [
       "{(-y - 1, y, 2)}"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "M = sympy.Matrix(((1, 1, 1, 1), (1, 1, 2, 3)))\n",
    "system = A, b = M[:, :-1], M[:, -1]\n",
    "sympy.linsolve(system, x, y, z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left\\{2\\right\\}$"
      ],
      "text/plain": [
       "{2}"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#solveset将结果以集合形式呈现。\n",
    "\n",
    "sympy.solveset(Eq(x**3,8), x,domain= S.Reals)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left\\{2 n \\pi + \\frac{\\pi}{2}\\; \\middle|\\; n \\in \\mathbb{Z}\\right\\}$"
      ],
      "text/plain": [
       "⎧        π │      ⎫\n",
       "⎨2⋅n⋅π + ─ │ n ∊ ℤ⎬\n",
       "⎩        2 │      ⎭"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sympy.solveset(sin(x) - 1, x, domain=S.Reals)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2，不等式求解"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "不等式求解可以使用reduce_inequalities或者solve或者solveset等方法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sympy\n",
    "from sympy import S, oo, pi, I \n",
    "from sympy import log,exp,sin,cos,tan,cot\n",
    "\n",
    "sympy.init_printing(pretty_print=True)\n",
    "x,y,z,a,b,c = sympy.symbols('x,y,z,a,b,c')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left(0 \\leq x \\wedge x < \\frac{\\pi}{6}\\right) \\vee \\left(\\frac{5 \\pi}{6} < x \\wedge x < 2 \\pi\\right)$"
      ],
      "text/plain": [
       "⎛            π⎞   ⎛5⋅π              ⎞\n",
       "⎜0 ≤ x ∧ x < ─⎟ ∨ ⎜─── < x ∧ x < 2⋅π⎟\n",
       "⎝            6⎠   ⎝ 6               ⎠"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sympy.reduce_inequalities(2*sin(x)<1, x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left(-\\infty < x \\wedge x < - \\sqrt{2} - 1\\right) \\vee \\left(x < 1 \\wedge -1 + \\sqrt{2} < x\\right)$"
      ],
      "text/plain": [
       "(-∞ < x ∧ x < -√2 - 1) ∨ (x < 1 ∧ -1 + √2 < x)"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sympy.reduce_inequalities([x**2 + 2*x>1, x<1], x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left(-\\infty < x \\wedge x < - \\sqrt{14} - 2\\right) \\vee \\left(x < 10 \\wedge -2 + \\sqrt{14} < x\\right)$"
      ],
      "text/plain": [
       "(-∞ < x ∧ x < -√14 - 2) ∨ (x < 10 ∧ -2 + √14 < x)"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sympy.solve([x**2+4*x > 10,x<10],x,domain= S.Reals)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left(-\\infty, - \\sqrt{14} - 2\\right) \\cup \\left(-2 + \\sqrt{14}, \\infty\\right)$"
      ],
      "text/plain": [
       "(-∞, -√14 - 2) ∪ (-2 + √14, ∞)"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sympy.solveset(x**2+4*x > 10,x,domain= S.Reals)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 四， 函数可视化"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1，plot范例"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<sympy.plotting.backends.matplotlibbackend.matplotlib.MatplotlibBackend at 0x12a7bf880>"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import sympy\n",
    "from sympy import S,pi,exp,log,sin,cos,tan,cot,sqrt\n",
    "import matplotlib \n",
    "%matplotlib inline \n",
    "sympy.plot(sin(x) + cos(x), (x, -pi, pi))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p1 = sympy.plot(sin(x), (x, 0, 2*pi),line_color = 'red' )\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [],
   "source": [
    "g1= sympy.plot(cos(x),(x,0,2*pi),show = False,line_color = 'green',ylabel = False)\n",
    "g2 = sympy.plot(sin(x),(x,0,2*pi),show = False,line_color = 'red')\n",
    "g1.append(g2[0])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g1.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2，plot3d范例"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<sympy.plotting.backends.matplotlibbackend.matplotlib.MatplotlibBackend at 0x13b50a230>"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import sympy\n",
    "from sympy import S,pi,exp,log,sin,cos,tan,cot,sqrt\n",
    "import matplotlib \n",
    "%matplotlib inline \n",
    "sympy.plotting.plot3d(x*exp(-x**2-y**2), (x, -3, 3), (y, -2, 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3，textplot范例"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "基于纯文本可视化，不需要matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "      1 |     ..                     ..                    ...  \n",
      "        |    .  \\                   /  .                  .     \n",
      "        |        .                 .                          . \n",
      "        |   .                           .                .     \\\n",
      "        |         .               .                             \n",
      "        |  .                             .              .       \n",
      "        |          .             .                              \n",
      "        | .                               .                     \n",
      "        |                                              .        \n",
      "        |           .           .                               \n",
      "      0 |.---------------------------------.--------------------\n",
      "        |                                             .         \n",
      "        |            .         .                                \n",
      "        |                                   .        .          \n",
      "        |                     .                                 \n",
      "        |             .                      .                  \n",
      "        |                                           .           \n",
      "        |              .     .                                  \n",
      "        |                   .                 .    .            \n",
      "        |               .                      \\  /             \n",
      "     -1 |_______________________________________________________\n",
      "         0                          7.5                        15\n"
     ]
    }
   ],
   "source": [
    "import sympy \n",
    "from sympy import sin\n",
    "sympy.textplot(sin(t), 0, 15)"
   ]
  }
 ],
 "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": "3.10.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}