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116 lines
2.1 KiB
116 lines
2.1 KiB
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Factoring Polynomials with SymPy"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Here is an example that uses [SymPy](http://sympy.org/en/index.html) to factor polynomials."
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"collapsed": false
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},
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"outputs": [],
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"source": [
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"from IPython.html.widgets import interact\n",
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"from IPython.display import display"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"collapsed": false
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},
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"outputs": [],
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"source": [
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"from sympy import Symbol, Eq, factor, init_printing\n",
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"init_printing(use_latex='mathjax')"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"collapsed": false
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},
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"outputs": [],
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"source": [
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"x = Symbol('x')"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"collapsed": false
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},
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"outputs": [],
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"source": [
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"def factorit(n):\n",
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" display(Eq(x**n-1, factor(x**n-1)))"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Notice how the output of the `factorit` function is properly formatted LaTeX."
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"collapsed": false
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},
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"outputs": [],
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"source": [
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"factorit(12)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"collapsed": false
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},
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"outputs": [],
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"source": [
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"interact(factorit, n=(2,40));"
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.4.0"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 0
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}
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