{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Factoring Polynomials with SymPy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is an example that uses [SymPy](http://sympy.org/en/index.html) to factor polynomials." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from IPython.html.widgets import interact\n", "from IPython.display import display" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from sympy import Symbol, Eq, factor, init_printing\n", "init_printing(use_latex='mathjax')" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x = Symbol('x')" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def factorit(n):\n", " display(Eq(x**n-1, factor(x**n-1)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice how the output of the factorit function is properly formatted LaTeX." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "factorit(12)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "interact(factorit, n=(2,40));" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.4.0" } }, "nbformat": 4, "nbformat_minor": 0 }