IMathics Demo

gistfile1.json

{
 "metadata": {
  "name": "Mathics Demo"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": "An IMathics Preview\n===================\nThis notebook is a demo of IMathics: A [Mathics](http://mathics.org) backend combined with the [IPython](http://ipython.org/) interactive environment.\n\nBasics\n------\nBasic queries of the Mathics Backend:"
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "Solve[Cos[x^2] == 1, x]",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 1,
       "text": "{{x -> 0}, {x -> -Sqrt[Pi] Sqrt[2]}, {x -> Sqrt[Pi] Sqrt[2]}}"
      }
     ],
     "prompt_number": "*"
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": "You can define multiline expressions too"
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "x = 2\nIf[x == 1,\n   x = 3,\n   x = 5]\nx+1",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 2,
       "text": "2"
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 3,
       "text": "5"
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 4,
       "text": "6"
      }
     ],
     "prompt_number": "*"
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "N[Pi/7, 100]",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 5,
       "text": "0.4487989505128276054946633404685004120281670570535865458535635131868309151837441426611478321917310099"
      }
     ],
     "prompt_number": "*"
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": "There is even support for basic errors reporting"
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "Log[1.5)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "ename": "General::syntax",
       "evalue": "Parse error at or near token ).",
       "output_type": "pyerr",
       "traceback": [
        "General::syntaxParse error at or near token )."
       ]
      }
     ],
     "prompt_number": "*"
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": "Graphics to come soon!"
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "Plot[Sin[x], {x, -5, 5}]",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 6,
       "text": "-Graphics-"
      }
     ],
     "prompt_number": "*"
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "Plot3D[Sin[x y^2], {x, -5, 5}, {y, -5, 5}]",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 7,
       "text": "-Graphics3D-"
      }
     ],
     "prompt_number": "*"
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "",
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
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