mkatsura/SympyIntro.ipynb

## SympyIntro.ipynb
{
 "metadata": {
  "name": "SympyIntro"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# \u8907\u96d1\u306a\u6570\u5f0f\u306e\u53d6\u308a\u6271\u3044\uff08sympy\uff09 #\n",
      "\u6842\u8aa0\n",
      "\n",
      "[INDEX](https://sites.google.com/site/makotokatsura4ipythonnotebook/ipythonnb4jpnexp)\n",
      "\n",
      "## Sympy\u30e2\u30b8\u30e5\u30fc\u30eb\u306b\u3064\u3044\u3066 ##\n",
      "[sympy](http://sympy.org/en/index.html)\n",
      "\u3068\u3044\u3046\u30e2\u30b8\u30e5\u30fc\u30eb\u3092\u7528\u3044\u308b\u3068\u3001\u6570\u5f0f\u3092TeX\u5f62\u5f0f\u3067\u7dba\u9e97\u306b\u51fa\u529b\u3057\u305f\u308a\u3001\u4ee3\u6570\u8a08\u7b97\u3092\u884c\u3046\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\n",
      "\u3053\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\u306f\u306a\u305c\u304b\u3001\u79c1\u306ePC\u306e\u4e00\u3064\u306b\u306f\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3055\u308c\u3066\u3044\u306a\u304b\u3063\u305f\u3088\u3046\u3067\u3001\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3057\u305f\u3002\n",
      "pythonxy\u306b\u306f\u5165\u3063\u3066\u3044\u307e\u3059\u306e\u3067\u3001\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3057\u5fd8\u308c\u3066\u3044\u305f\u306e\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002\n",
      "\n",
      "\u6b63\u5f0f\u3067\u306a\u3044[64\u30d3\u30c3\u30c8\u7248](http://www.lfd.uci.edu/~gohlke/pythonlibs/#sympy)\n",
      "\u306f\u898b\u3064\u304b\u308a\u307e\u3059\u304c\u3001\u79c1\u81ea\u8eab\u306f32\u30d3\u30c3\u30c8\u306eWindows PC\u3092\u5229\u7528\u3057\u3066\u3044\u308b\u306e\u3067\u3001\u3053\u3061\u3089\u306e\u52d5\u4f5c\u78ba\u8a8d\u306f\u3057\u3066\u3044\u307e\u305b\u3093\u3002\n",
      "[winpython](http://code.google.com/p/winpython/)\u306e64\u30d3\u30c3\u30c8\u7248\u306b\u3082\u3053\u308c\u304c\u5165\u3063\u3066\u3044\u308b\u306e\u3067\u306f\u306a\u3044\u304b\u3068\u63a8\u5bdf\u3057\u307e\u3059\u3002\n",
      "\n",
      "## \u6570\u5f0f\u306e\u8868\u793a\u65b9\u6cd5 ##"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%load_ext sympy.interactive.ipythonprinting\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "\u3053\u306e\u30b3\u30de\u30f3\u30c9\u3067sympy\u3068\u3044\u3046\u30e2\u30b8\u30e5\u30fc\u30eb\u3092\u7528\u3044\u3066\u66f8\u304b\u308c\u305f\u6570\u5f0f\u306e\u753b\u9762\u51fa\u529b\u304c\u5f97\u3089\u308c\u307e\u3059\u3002"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import sympy\n",
      "from sympy import var,Eq\n",
      "var('a:z')#\u666e\u901a\u306e\u5c0f\u6587\u5b57\u306ea\u304b\u3089z\u306f\u5168\u3066sympy\u306e\u30b7\u30f3\u30dc\u30eb\uff08\u5909\u6570\uff09\u3068\u3057\u3066\u6271\u3046\u3053\u3068\u306b\u3057\u307e\u3057\u305f\u3002\n",
      "eq1=Eq(a*x**2+b*x+c,0)\n",
      "eq1\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": [
        "$$a x^{2} + b x + c = 0$$"
       ],
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAIYAAAAZCAYAAAD0SVYHAAAABHNCSVQICAgIfAhkiAAABENJREFU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\ndIS/ABU//PrKyBZhAAAAAElFTkSuQmCC\n",
       "prompt_number": 2,
       "text": [
        "   2              \n",
        "a\u22c5x  + b\u22c5x + c = 0"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "\u4e0b\u8a18\u306e\u3088\u3046\u306b\u3001\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u4e8b\u3082\u3067\u304d\u307e\u3059\u3002"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "eq2=eq1.subs({a:1,b:0,c:1})# \u5404\u4fc2\u6570\u306b\u5024\u3092\u4ee3\u5165\u3002\n",
      "from sympy import solve\n",
      "ans=solve(eq2)\n",
      "ans\n",
      "\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": [
        "$$\\begin{bmatrix}- \\mathbf{\\imath}, & \\mathbf{\\imath}\\end{bmatrix}$$"
       ],
       "output_type": "pyout",
       "prompt_number": 3,
       "text": [
        "[-\u2148, \u2148]"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "\u3053\u306e\u3088\u3046\u306b\u3001i\u306e\u4e0a\u306e\u70b9\u304c\u3042\u308a\u307e\u305b\u3093\u3002\n",
      "\u3053\u308c\u306f\u865a\u6570\u5358\u4f4d\u306e$i$\u306b\\imath\u3068\u3044\u3046TeX\u30b3\u30de\u30f3\u30c9\u304c\u4f7f\u7528\u3055\u308c\u3066\u3044\u308b\u306e\u304c\u539f\u56e0\u306e\u3088\u3046\u3067\u3059\u3002\n",
      "\u3053\u308c\u306f\u79c1\u306b\u306f\u6c17\u6301\u3061\u60aa\u3044\u306e\u3067\u3001\u4ee5\u4e0b\u306e\u30b3\u30de\u30f3\u30c9\u3092\u5b9a\u7fa9\u3057\u3066\u307f\u307e\u3057\u305f\u3002"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def print_eq(eq):\n",
      "    from IPython.display import display, Math\n",
      "    from sympy import latex\n",
      "    display(Math(latex(eq).replace('\\imath','i')))\n",
      "    \n",
      "    "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print_eq(ans)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": [
        "$$\\begin{bmatrix}- \\mathbf{i}, & \\mathbf{i}\\end{bmatrix}$$"
       ],
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.Math object at 0x0488BAF0>"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "\u3053\u3063\u3061\u306a\u3089\u79c1\u306f\u8a31\u5bb9\u3067\u304d\u307e\u3059\u3002"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print ans\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[-I, I]\n"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "\u5358\u306bprint\u3068\u3059\u308c\u3070\u3001Sympy\u3067\u306e\u30ad\u30e3\u30e9\u30af\u30bf\u304c\u51fa\u529b\u3055\u308c\u307e\u3059\u3002\u4ee5\u4e0b\u3082\u540c\u69d8\u3067\u3059\u3002"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print eq1\n",
      "print eq2\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "a*x**2 + b*x + c == 0\n",
        "x**2 + 1 == 0\n"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## \u8907\u96d1\u306a\u5f0f\u306e\u66f8\u304d\u65b9 ##\n",
      "\u5c11\u3057\u3060\u3051\u8907\u96d1\u306a\u4f8b\u3092\u793a\u3057\u307e\u3059\u3002"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from sympy import atan, pi\n",
      "y=2*x+1\n",
      "exp0=atan(y**2/(2*y+10)**2)\n",
      "exp1=sympy.integrals.Integral(exp0,(x,-10.0,pi))\n",
      "print_eq(exp1)\n",
      "print(exp1)\n",
      "print(exp0)\n",
      "\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": [
        "$$\\int_{-10.0}^{\\pi} \\operatorname{atan}{\\left (\\frac{\\left(2 x + 1\\right)^{2}}{\\left(4 x + 12\\right)^{2}} \\right )}\\, dx$$"
       ],
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.Math object at 0x059B5290>"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Integral(atan((2*x + 1)**2/(4*x + 12)**2), (x, -10.0, pi))\n",
        "atan((2*x + 1)**2/(4*x + 12)**2)\n"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "\u81ea\u52d5\u7684\u306by\u3092\u4ee3\u5165\u3057\u3066\u304f\u308c\u308b\u306e\u3067\u3001\u8907\u96d1\u306a\u5f0f\u3092\u66f8\u304f\u306b\u306f\u4fbf\u5229\u3067\u3059\u3002\n",
      "\n",
      "## \u4ed6\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\u306e\u5229\u7528 ##\n",
      "\n",
      "\u4eca\u5ea6\u306f\u3001\u3053\u306e\u5f0f\u3092Numpy\u3067\u6271\u3063\u3066\u307f\u307e\u3057\u3087\u3046\u3002\n",
      "\u624b\u3067\u5c11\u3057\u66f8\u304d\u63db\u3048\u307e\u3059\u3002\n",
      "\u4e0a\u306eprint\u6587\u306e\u51fa\u529b\u3092\u30b3\u30d4\u30da\u3057\u3066\u7c21\u5358\u306a\u95a2\u6570\u3092\u5b9a\u7fa9\u3057\u307e\u3059\u3002"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def exp0_func(x):\n",
      "    from numpy import arctan             # numpy\u3067\u306farctan, sympy\u3067\u306fatan\n",
      "    return arctan((2*x + 1)**2/(4*x + 12)**2)\n",
      "_x=np.arange(-10.0,np.pi,0.1)\n",
      "plt.plot(_x,exp0_func(_x))\n",
      "\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 9,
       "text": [
        "[Line2D(_line0)]"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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Ay5erTkJaxSIn8gITJwLz5qlOQVrFIifyAiNGAN9/z708qWlY5EReoEULICUF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\ncSxyIiKNY5ETEWkci5yISOP+H7uX50jMp2DhAAAAAElFTkSuQmCC\n"
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "\u3053\u306e\u3088\u3046\u306b\u95a2\u6570\u3092\u308f\u3056\u308f\u3056\u5b9a\u7fa9\u3057\u3066\u3001x\u3001y\u3068\u3044\u3046\u5909\u6570\u3092\u4f7f\u308f\u306a\u304b\u3063\u305f\u306e\u306f\u3001\u666e\u901a\u306e\u30a2\u30eb\u30d5\u30a1\u30d9\u30c3\u30c8\u306ea\u304b\u3089z\u306fsympy\u306e\u30b7\u30f3\u30dc\u30eb\u3068\u3057\u3066\u4e88\u7d04\u3057\u3066\u3057\u307e\u3063\u305f\u304b\u3089\u3067\u3059\u3002\n",
      "\n",
      "\u6b21\u306b\u3001scipy\u3067\u7a4d\u5206\u3092\u5b9f\u884c\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from scipy import integrate\n",
      "integrate.quad(exp0_func,-10.0,np.pi)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": [
        "$$\\begin{pmatrix}6.94987255622, & 3.9625733733e-11\\end{pmatrix}$$"
       ],
       "output_type": "pyout",
       "prompt_number": 10,
       "text": [
        "(6.94987255622, 3.9625733733e-11)"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "\u6700\u521d\u306e\u5024\u304c\u7a4d\u5206\u7d50\u679c\u30012\u756a\u76ee\u306e\u5024\u306f\u8aa4\u5dee\u306e\u898b\u7a4d\u3082\u308a\u3067\u3059\u3002\n",
      "\u3053\u306e\u3088\u3046\u306b\u3001Numpy,Scipy\u3068Sympy\u306e\u9593\u306e\u5f0f\u306e\u5909\u63db\u306f\u624b\u52d5\u3067\u305d\u308c\u307b\u3069\u9762\u5012\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\n",
      "\n",
      "\u3068\u3053\u308d\u304c\u3001\u5b9f\u306f\u3001"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "exp1.evalf()\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": [
        "$$6.94987255622221$$"
       ],
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAJ0AAAASCAYAAABBwNzbAAAABHNCSVQICAgIfAhkiAAABVhJREFU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\nmtYBiAAAAABJRU5ErkJggg==\n",
       "prompt_number": 11,
       "text": [
        "6.94987255622221"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "\u3053\u308c\u3060\u3051\u3067\u7a4d\u5206\u304c\u5b9f\u884c\u3067\u304d\u3066\u3057\u307e\u3046\u306e\u3067\u3001\u4eca\u306e\u5834\u5408\u306a\u3089Scipy\u3092\u4f7f\u3046\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u3067\u3057\u305f\u3002\n",
      "\u30d7\u30ed\u30c3\u30c8\u306b\u95a2\u3057\u3066\u3082\u3001"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from sympy.plotting import plot\n",
      "plot(exp0,(x,-10.0,pi))\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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HjtQ6ZunSpYiJicG+ffuQk5ODJ598EpWVlc4rkhrEkCanyMmRIf3664BOp7oatZwd0vn5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\n/w/p2ShZnc0kYQAAAABJRU5ErkJggg==\n"
      },
      {
       "output_type": "pyout",
       "prompt_number": 12,
       "text": [
        "                                  Plot object containing:                     \n",
        "[0]: cartesian line: atan((2*x + 1)**2/(4*x + 12)**2) for x over (-10.0, 3.141\n",
        "\n",
        "             \n",
        "592653589793)"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "\u3053\u306e\u3088\u3046\u306bMatplotlib\u3092\u4f7f\u308f\u305a\u306bSympy\u5185\u90e8\u306e\u95a2\u6570\u3067\u3082\u7c21\u5358\u306a\u30b0\u30e9\u30d5\u4f5c\u6210\u306f\u53ef\u80fd\u3067\u3059\u3002\n",
      "\n",
      "## sympy\u3060\u3051\u3067\u5341\u5206\u304b\uff1f\u305d\u308c\u3068\u3082\uff1f ##\n",
      "\u3053\u308c\u307e\u3067\u898b\u3066\u304d\u305f\u3088\u3046\u306b\u3001Sympy\u306f\u305d\u308c\u5358\u72ec\u3067\u76f8\u5f53\u306a\u4e8b\u304c\u3067\u304d\u308b\u30e2\u30b8\u30e5\u30fc\u30eb\u3067\u3042\u308b\u3053\u3068\u304c\u60f3\u50cf\u3067\u304d\u307e\u3059\u3002\n",
      "\u79c1\u81ea\u8eab\u306f\u3001\u73fe\u6642\u70b9\u3067\u306f\u3001Sympy\u306e\u5168\u8c8c\u304c\u628a\u63e1\u3067\u304d\u3066\u3044\u307e\u305b\u3093\u3002\n",
      "\uff08\u4ed6\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\u3060\u3063\u3066\u305d\u3046\u3067\u3059\u304c\u3002\u3002\uff09\n",
      "\n",
      "\u3057\u304b\u3057\u3001\u8907\u96d1\u306a\u6570\u5f0f\u3092\u6271\u3046\u5fc5\u8981\u304c\u3042\u308b\u5834\u5408\u306b\u306fSympy\u3092\u5229\u7528\u3057\u3001\u305d\u308c\u4ee5\u5916\u306e\u6642\u306b\u306fNumpy,Scipy\u3092\u7528\u3044\u308b\u3068\u3059\u308b\u3068\u3001\n",
      "\u79c1\u306e\u5834\u5408\u306b\u306fSympy\u306e\u4f7f\u7528\u983b\u5ea6\u306f\u4eca\u5f8c\u3082\u3042\u307e\u308a\u9ad8\u304f\u306a\u3089\u306a\u3044\u3068\u4e88\u60f3\u3057\u3066\u3044\u307e\u3059\u3002"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Sympy\u306b\u3088\u308b\u4ee3\u6570\u8a08\u7b97 ##\n",
      "Sympy\u306e\u4ee3\u6570\u8a08\u7b97\u306e\u6a5f\u80fd\u306b\u3064\u3044\u3066\u306f\u6b86\u3069\u89e6\u308c\u307e\u305b\u3093\u3067\u3057\u305f\u3002\n",
      "\n",
      "[\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb](http://docs.sympy.org/0.7.2/tutorial.html#tutorial)\n",
      "\u306b\u3042\u308b\u3082\u306e\u3092\u629c\u7c8b\u3057\u305f\u3060\u3051\u3067\u3082\u3001\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3059\u3002\n",
      "\n",
      "* \u30ab\u30c3\u30b3\u306e\u5c55\u958b\n",
      "* \u901a\u5206\n",
      "* \u90e8\u5206\u5206\u6570\u5c55\u958b\n",
      "* \u5fae\u5206\uff08\u504f\u5fae\u5206\u3092\u542b\u3080\uff09\n",
      "* \u7a4d\u5206\uff08\u6570\u5024\u7a4d\u5206\u3082\u3001\u4e0d\u5b9a\u7a4d\u5206\u3082\uff09\n",
      "* \u30c6\u30fc\u30e9\u30fc\u5c55\u958b\n",
      "* \u7d1a\u6570\u306e\u548c\n",
      "* \u6975\u9650\n",
      "* \u884c\u5217\u6f14\u7b97\n",
      "* \u5404\u7a2e\u306e\u7279\u6b8a\u95a2\u6570\n",
      "\n",
      "\u3053\u308c\u4ee5\u5916\u306e\u91cd\u8981\u306a\u6a5f\u80fd\u3068\u3057\u3066\u306f\u3001\u8a08\u7b97\u5f0f\u306e\u5358\u7d14\u5316(\n",
      "[simplify](http://docs.sympy.org/0.7.2/modules/simplify/simplify.html#simplify)\n",
      ")\u304c\u3042\u308a\u307e\u3059\u3002\n",
      "\u3069\u306e\u3088\u3046\u306b\u5f0f\u3092\u5358\u7d14\u5316\u3059\u3079\u304d\u304b\u3001\u3068\u3044\u3046\u306e\u306f\u81ea\u660e\u3067\u306f\u306a\u3044\uff08\u4eba\u9593\u306e\u90fd\u5408\u306b\u3088\u308b\uff09\u306e\u3067\u3001\u8272\u3093\u306a\u8a2d\u5b9a\u3092\u5fc5\u8981\u3068\u3057\u307e\u3059\u3002\n",
      "\u624b\u8a08\u7b97\u306e\u88dc\u52a9\u3068\u3044\u3046\u4f4d\u7f6e\u3065\u3051\u3067\u8003\u3048\u3066\u304a\u304f\u3068\u826f\u3044\u3068\u601d\u3044\u307e\u3059\u3002\n",
      "\n",
      "\u307e\u305f\u3001[physics](http://docs.sympy.org/0.7.2/modules/physics/index.html#module-sympy.physics)\n",
      "\u3068\u3044\u3046\u30e2\u30b8\u30e5\u30fc\u30eb\u3082\u3042\u308a\u307e\u3059\u3002\n",
      "\u3053\u3053\u306b\u306f\u91cf\u5b50\u529b\u5b66\u3084\u529b\u5b66\u306e\u8a08\u7b97\u306b\u4f7f\u3048\u308b\u30e2\u30b8\u30e5\u30fc\u30eb\u306e\u4ed6\u306b\u3001\u5358\u4f4d\u63db\u7b97\u306b\u5229\u7528\u3067\u304d\u308b\u3088\u3046\u306a\u30e2\u30b8\u30e5\u30fc\u30eb\u3082\u3042\u308a\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u4fbf\u5229\u306b\u4f7f\u3048\u305d\u3046\u3067\u3059\u3002"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import sympy.physics.units as unit\n",
      "unit.find_unit(\"avogad\")[1]\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 13,
       "text": [
        "avogadro_number"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "unit.avogadro_number\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": [
        "$$602214179000000000000000$$"
       ],
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAPIAAAASCAYAAABhLIMmAAAABHNCSVQICAgIfAhkiAAABORJREFU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\ndKgAAAAASUVORK5CYII=\n",
       "prompt_number": 14,
       "text": [
        "602214179000000000000000"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "unit.find_unit(\"planc\")\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 15,
       "text": [
        "[planck]"
       ]
      }
     ],
     "prompt_number": 15
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "unit.planck\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": [
        "$$\\frac{41412931}{62500000000000000000000000000000000000000} \\frac{kg m^{2}}{s}$$"
       ],
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAUYAAAAnCAYAAABzCOG7AAAABHNCSVQICAgIfAhkiAAABjZJREFU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\nAABJRU5ErkJggg==\n",
       "prompt_number": 16,
       "text": [
        "                            2              \n",
        "               41412931\u22c5kg\u22c5m               \n",
        "\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n",
        "62500000000000000000000000000000000000000\u22c5s"
       ]
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "unit.planck.evalf()\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": [
        "$$6.62606896 \\times 10^{-34} \\frac{kg m^{2}}{s}$$"
       ],
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAMUAAAAjCAYAAAAkJc5vAAAABHNCSVQICAgIfAhkiAAAB8pJREFU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\nM1lWAAAAAElFTkSuQmCC\n",
       "prompt_number": 17,
       "text": [
        "                   2\n",
        "6.62606896e-34\u22c5kg\u22c5m \n",
        "\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n",
        "         s          "
       ]
      }
     ],
     "prompt_number": 17
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "unit.find_unit(unit.pressure)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 18,
       "text": [
        "[Pa, pa, atm, bar, kPa, psi, bars, mmHg, pascal, pascals, pressure, atmosphere\n",
        ", atmospheres]"
       ]
      }
     ],
     "prompt_number": 18
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "3.5*unit.psi\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": [
        "$$24131.6505260893 \\frac{kg}{m s^{2}}$$"
       ],
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAALgAAAAlCAYAAADxyyNaAAAABHNCSVQICAgIfAhkiAAACHBJREFU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\nAABJRU5ErkJggg==\n",
       "prompt_number": 19,
       "text": [
        "24131.6505260893\u22c5kg\n",
        "\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n",
        "           2       \n",
        "        m\u22c5s        "
       ]
      }
     ],
     "prompt_number": 19
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "\u3057\u304b\u3057\u3001Scipy\u306b\u3082\u540c\u69d8\u306b\u4fbf\u5229\u306a[\u30e2\u30b8\u30e5\u30fc\u30eb](http://docs.scipy.org/doc/scipy-0.7.x/reference/constants.html#module-scipy.constants)\u304c\u3042\u308a\u307e\u3059\u3002"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## \u6539\u3081\u3066\u3001Sympy\u306e\u4f7f\u3044\u65b9\u306b\u3064\u3044\u3066\u306e\u79c1\u898b ##\n",
      "Sympy\u306f\u3053\u308c\u3060\u3051\u9ad8\u6a5f\u80fd\u3067\u3059\u3002\n",
      "\u307e\u305f\u3001Sympy\u3067\u5f97\u305f\u6570\u5f0f\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3092Numpy\u7b49\u3067\u76f4\u63a5\u5229\u7528\u3059\u308b\u306f\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u306e\u3067\u3001\u30b3\u30d4\u30fc\uff06\u30da\u30fc\u30b9\u30c8\u3068\u591a\u5c11\u306e\u66f8\u304d\u63db\u3048\u3092\u5fc5\u8981\u3068\u3057\u307e\u3059\u3002\n",
      "\n",
      "\u3067\u3059\u304b\u3089\u3001\u8907\u96d1\u306a\u6570\u5f0f\u3092\u53d6\u308a\u6271\u3046\u5fc5\u8981\u304c\u751f\u3058\u305f\u5834\u5408\u306b\u306f\u3001\u4e00\u3064\u306eNotebook\u5185\u3067\u306f\u307b\u307cSympy\u306b\u5fb9\u3057\u3001\n",
      "\u5b9f\u9a13\u30c7\u30fc\u30bf\u3092\u53d6\u308a\u6271\u3046\u5834\u5408\u306b\u306f\u9006\u306bSympy\u306f\u4f7f\u308f\u306a\u3044\u3068\u3044\u3063\u305f\u4f7f\u3044\u5206\u3051\u3092\u3057\u305f\u65b9\u304c\u826f\u3044\u3088\u3046\u306b\u601d\u3048\u307e\u3059\u3002\n",
      "\n",
      "\u5168\u3066\u3092Sympy\u3067\u884c\u3046\u53ef\u80fd\u6027\u3001\u307e\u305f\u3001\n",
      "[Sage](http://ja.wikipedia.org/wiki/Sage_(%E6%95%B0%E5%BC%8F%E5%87%A6%E7%90%86%E3%82%B7%E3%82%B9%E3%83%86%E3%83%A0))\n",
      "\u306a\u3069\u306e\u5de8\u5927\u306a\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u3092\u4f7f\u3046\u3053\u3068\u306a\u3069\u3082\u5c06\u6765\u7684\u306b\u306f\u8003\u3048\u3066\u3082\u3088\u3044\u306e\u304b\u3082\u77e5\u308c\u307e\u305b\u3093\u304c\u3001\n",
      "Windows\u74b0\u5883\u306b\u304a\u3044\u3066\u3001Numpy(+Scipy)+Matplotlib\u3092\u30e1\u30a4\u30f3\u3068\u3059\u308b\u5b9f\u9a13\u30c7\u30fc\u30bf\u306e\u89e3\u6790\u3068Sympy\u3092\u30e1\u30a4\u30f3\u3068\u3059\u308b\u6570\u5f0f\u51e6\u7406\u3092\u3042\u308b\u7a0b\u5ea6\u5206\u3051\u3066\u884c\u3046\u4e8b\u306f\u3001\n",
      "\u591a\u304f\u306e\u5b9f\u9a13\u5c4b\u306b\u3068\u3063\u3066\u306f\u8efd\u5feb\u3067\u5341\u5206\u306a\u3084\u308a\u65b9\u3060\u308d\u3046\u3068\u601d\u3063\u3066\u3044\u307e\u3059\u3002\n",
      "\u305d\u3057\u3066\u3001\u305d\u306e\u4e21\u65b9\u304cipython notebook\u3068\u3044\u3046\u4e00\u3064\u306e\u74b0\u5883\u3067\u5b9f\u884c\u3067\u304d\u308b\u306a\u3093\u3066\u3001\u3068\u3066\u3082\u4fbf\u5229\u306a\u3053\u3068\u3060\u3068\u601d\u3044\u307e\u3059\u3002"
     ]
    }
   ],
   "metadata": {}
  }
 ]
}