{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "mp-0",
   "metadata": {},
   "source": "# Installing packages with mip\n\nnumbl ships with `mip`, a package manager for numbl packages. Packages are\nfetched from GitHub releases and cached in your browser's IndexedDB, so the\ndownload happens once.\n\nThe first cell you run in a session also bootstraps the engine, so expect a\nshort delay (progress is printed). These cells reach the network, so they are\nnot part of the offline verification suite."
  },
  {
   "cell_type": "code",
   "id": "mp-1",
   "metadata": {},
   "execution_count": null,
   "outputs": [],
   "source": "mip load --install chebfun"
  },
  {
   "cell_type": "markdown",
   "id": "mp-2",
   "metadata": {},
   "source": "## Chebfun: numerical computing with functions"
  },
  {
   "cell_type": "code",
   "id": "mp-3",
   "metadata": {},
   "execution_count": null,
   "outputs": [],
   "source": "x = chebfun('x', [0 4]);\nf = sin(x.^2);\nr = roots(f);\nfprintf('sin(x^2) has %d roots in [0, 4]\\n', numel(r));"
  },
  {
   "cell_type": "markdown",
   "id": "mp-4",
   "metadata": {},
   "source": "## Plot the chebfun and its roots"
  },
  {
   "cell_type": "code",
   "id": "mp-5",
   "metadata": {},
   "execution_count": null,
   "outputs": [],
   "source": "xx = linspace(0, 4, 400);\nplot(xx, f(xx));\nhold on;\nplot(r, f(r), 'ro');\nhold off;\ntitle('sin(x^2) and its roots');"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "numbl (MATLAB syntax)",
   "language": "numbl",
   "name": "numbl"
  },
  "language_info": {
   "codemirror_mode": "octave",
   "file_extension": ".m",
   "mimetype": "text/x-octave",
   "name": "numbl",
   "nbconvert_exporter": "script",
   "pygments_lexer": "matlab"
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 },
 "nbformat": 4,
 "nbformat_minor": 5
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