{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction to Jupyter notebooks\n", "\n", "(c) 2017 Justin Bois. This work is licensed under a [Creative Commons Attribution License CC-BY 4.0](https://creativecommons.org/licenses/by/4.0/). All code contained herein is licensed under an [MIT license](https://opensource.org/licenses/MIT).\n", "\n", "*This tutorial was generated from a Jupyter notebook. You can download the notebook [here](intro_to_jupyter_notebooks.ipynb).*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first thing we'll do, [discussed later](#Best-practices-for-code-cells), is import all the modules we'll need. You should in general do this at the very beginning of each notebook." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Our numerical workhorses\n", "import numpy as np\n", "import scipy.integrate\n", "\n", "# Import pyplot for plotting\n", "import matplotlib.pyplot as plt\n", "\n", "# Make Matplotlib plots appear inline\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this tutorial, you will learn the basics on how to use Jupyter notebooks. Your homework will be submitted as Jupyter notebooks, so this is something you will need to master. It will be useful for you to go over [the introduction to LaTeX](intro_to_latex.html) to learn how to use $\\LaTeX$ in your Jupyter notebooks.\n", "\n", "You should, of course, read [the official Jupyter documentation](http://jupyter-notebook.readthedocs.org/) as well." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What is Jupyter?\n", "\n", "[Jupyter](http://jupyter.org) is a way to combine text (with math!) and code (which runs and can display graphic output!) in an easy-to-read document that renders in a web browser. The notebook itself is stored as a text file in [JSON](http://json.org) format. This text file is what you will email the course staff when submitting your homework.\n", "\n", "It is language agnostic as its name suggests. The name \"Jupyter\" is a combination of [Julia](http://julialang.org/) (a new language for scientific computing), [Python](http://python.org/) (which you know and love, or at least will when the course is over), and [R](https://www.r-project.org) (the dominant tool for statistical computation). However, you currently can run over 40 different languages in a Jupyter notebook, not just Julia, Python, and R." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Launching a Jupyter notebook\n", "\n", "For the purposes of ChE/BE 163, you can use Jupyter either locally, or via the Amazon Machine Image we set up for you. For the latter, see the instructions [here](aws_instructions/nupack_jupyter_ec2_installation.html). This might be the easiest way for you to use NUPACK and its Python-wrapped functions.\n", "\n", "To launch a Jupyter notebook on your local machine, you can do the following.\n", "* **Mac**: Use the Anaconda launcher and select Jupyter notebook.\n", "* **Windows**: Under \"Search programs and files\" from the Start menu, type `jupyter notebook` and select \"Jupyter notebook.\"\n", "\n", "A Jupyter notebook will then launch in your default web browser.\n", "\n", "You can also launch Jupyter from the command line. To do this, simply enter\n", "\n", " jupyter notebook\n", "\n", "on the command line and hit enter. This also allows for greater flexibility, as you can launch Jupyter with command line flags. For example, I launch Jupyter using\n", "\n", " jupyter notebook --browser=safari\n", "\n", "This fires up Jupyter with Safari as the browser. If you launch Jupyter from the command line, your shell will be occupied with Jupyter and will occasionally print information to the screen. After you are finished with your Jupyter session (and have saved everything), you can kill Jupyter by hitting \"`ctrl + C`\" in the terminal/PowerShell window.\n", "\n", "When you launch Jupyter, you will be presented with a menu of files in your current working directory to choose to edit. You can also navigate around the files on your computer to find a file you wish to edit by clicking the \"Upload\" button in the upper right corner. You can also click \"New\" in the upper right corner to get a new Jupyter notebook. After selecting the file you wish to edit, it will appear in a new window in your browser, beautifully formatted and ready to edit." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Cells\n", "\n", "A Jupyter notebook consists of **cells**. The two main types of cells you will use are **code cells** and **markdown cells**, and we will go into their properties in depth momentarily. First, an overview.\n", "\n", "A code cell contains actual code that you want to run. You can specify a cell as a code cell using the pulldown menu in the toolbar in your Jupyter notebook. Otherwise, you can can hit `esc` and then `y` (denoted \"`esc, y`\") while a cell is selected to specify that it is a code cell. Note that you will have to hit enter after doing this to start editing it.\n", "\n", "If you want to execute the code in a code cell, hit \"`shift + enter`.\" Note that code cells are executed in the order you execute them. That is to say, the ordering of the cells for which you hit \"`shift + enter`\" is the order in which the code is executed. If you did not explicitly execute a cell early in the document, its results are now known to the Python interpreter.\n", "\n", "Markdown cells contain text. The text is written in **markdown**, a lightweight markup language. You can read about its syntax [here](http://daringfireball.net/projects/markdown/syntax). Note that you can also insert HTML into markdown cells, and this will be rendered properly. As you are typing the contents of these cells, the results appear as text. Hitting \"`shift + enter`\" renders the text in the formatting you specify.\n", "\n", "You can specify a cell as being a markdown cell in the Jupyter toolbar, or by hitting \"`esc, m`\" in the cell. Again, you have to hit enter after using the quick keys to bring the cell into edit mode.\n", "\n", "In general, when you want to add a new cell, you can use the \"Insert\" pulldown menu from the Jupyter toolbar. The shortcut to insert a cell below is \"`esc, b`\" and to insert a cell above is \"`esc, a`.\" Alternatively, you can execute a cell and automatically add a new one below it by hitting \"`alt + enter`.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Code cells\n", "\n", "Below is an example of a code cell printing `hello, world.` Notice that the output of the print statement appears in the same cell, though separate from the code block." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "hello, world.\n" ] } ], "source": [ "# Say hello to the world.\n", "print('hello, world.')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you evaluate a Python expression that returns a value, that value is displayed as output of the code cell. This only happens, however, for the last line of the code cell." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "11" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Would show 9 if this were the last line, but it is not, so shows nothing\n", "4 + 5\n", "\n", "# I hope we see 11.\n", "5 + 6" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note, however, if the last line does not return a value, such as if we assigned a variable, there is no visible output from the code cell." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Variable assignment, so no visible output.\n", "a = 5 + 6" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "11" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# However, now if we ask for a, its value will be displayed\n", "a" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Display of graphics\n", "\n", "When displaying graphics, you should have them **inline**, meaning that they are displayed directly in the Jupyter notebook and not in a separate window. You can specify that, as I did at the top of this document, using the `%matplotlib inline` magic function. Below is an example of graphics displayed inline.\n", "\n", "Generally, I prefer presenting graphics as scalable vector graphics (SVG), especially for publication. But for the purposes of rendering in Jupyter notebooks for this class, we will use the default PNG rendering. For future reference, you can specify SVG as I have at the top of this document in the first code cell. \n", "\n", " %config InlineBackend.figure_formats = {'svg',}" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate data to plot\n", "x = np.linspace(0, 2 * np.pi, 200)\n", "y = np.exp(np.sin(np.sin(x)))\n", "\n", "# Make plot\n", "plt.plot(x, y)\n", "plt.xlim((0, 2 * np.pi))\n", "plt.xlabel(r'$x$')\n", "plt.ylabel(r'$\\mathrm{e}^{\\sin{x}}$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot is included inline with the styling we specified using Seaborn at the beginning of the document. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Proper formatting of cells\n", "\n", "Generally, it is a good idea to keep cells simple. You can define one function, or maybe two or three closely related functions, in a single cell, and that's about it. When you define a function, you should make sure it is properly commented with descriptive doc strings. Below is an example of how I might generate a plot of the Lorenz attractor (which I choose just because it is fun) with code cells and markdown cells with discussion of what I am doing.\n", "\n", "We will use `scipy.integrate.odeint()` to numerically integrate the Lorenz attractor. We therefore first define a function that returns the right hand side of the system of ODEs that define the Lorentz attractor." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def lorenz_attractor(r, t, p):\n", " \"\"\"\n", " Compute the right hand side of system of ODEs for Lorenz attractor.\n", " \n", " Parameters\n", " ----------\n", " r : array_like, shape (3,)\n", " (x, y, z) position of trajectory.\n", " t : dummy_argument\n", " Dummy argument, necessary to pass function into \n", " scipy.integrate.odeint\n", " p : array_like, shape (3,)\n", " Parameters (s, k, b) for the attractor.\n", " \n", " Returns\n", " -------\n", " output : ndarray, shape (3,)\n", " Time derivatives of Lorenz attractor.\n", " \n", " Notes\n", " -----\n", " .. Returns the right hand side of the system of ODEs describing\n", " the Lorenz attractor.\n", " x' = s * (y - x)\n", " y' = x * (k - z) - y\n", " z' = x * y - b * z\n", " \"\"\"\n", " # Unpack variables and parameters\n", " x, y, z = r\n", " s, p, b = p\n", " \n", " return np.array([s * (y - x), \n", " x * (p - z) - y, \n", " x * y - b * z])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With this function in hand, we just have to pick our initial conditions and time points, run the numerical integration, and then plot the result." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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j0qtRKxT8el0VIPkWbp6Tx4y8RC4el4YowoYjFv4dHcfFZWlcNiGdtYc6+da/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8/PyrFJoXn/3vo+YsJV7Krt5XfnSQvwh9eV89vzilh7uI1+h5SlMaScLkgMD2UPn1gM1pd1hlrk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\nrZQx7JKYRUFKGZsrerhpTgbBfpdSm8NDqFr6tzltm938PZsOr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m1OdvlDp/Y39FPRZeaS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\nqQ/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Parameters to use\n", "p = np.array([10.0, 28.0, 8.0 / 3.0])\n", "\n", "# Initial condition\n", "r0 = np.array([0.1, 0.0, 0.0])\n", "\n", "# Time points to sample\n", "t = np.linspace(0.0, 80.0, 10000)\n", "\n", "# Use scipy.integrate.odeint to integrate Lorentz attractor\n", "r = scipy.integrate.odeint(lorenz_attractor, r0, t, args=(p,))\n", "\n", "# Unpack results into x, y, z.\n", "x, y, z = r.transpose()\n", "\n", "# Plot the result\n", "plt.plot(x, z, '-', linewidth=0.5)\n", "plt.xlabel(r'$x(t)$', fontsize=18)\n", "plt.ylabel(r'$z(t)$', fontsize=18)\n", "plt.title(r'$x$-$z$ proj. of Lorenz attractor traj.');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Best practices for code cells\n", "\n", "Here is a summary of some general rules for composing and formatting your code cells.\n", "1. Keep the width of code in cells below 80 characters.\n", "2. Keep your code cells short. If you find yourself having one massive code cell, break it up.\n", "3. Always properly comment your code. Provide complete doc strings for any functions you define.\n", "4. Do all of your imports in the first code cell at the top of the notebook. With the exception of \"`from ... import ...`\" imports, import one module per line.\n", "5. For submitting assignments, **always** display your graphics inline." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Markdown cells\n", "\n", "Markdown cells contain text. The text is written in **markdown**, a lightweight markup language. The list of syntactical constructions at [this link](http://daringfireball.net/projects/markdown/syntax) are pretty much all you need to know for standard markdown. Note that you can also insert HTML into markdown cells, and this will be rendered properly. As you are typing the contents of these cells, the results appear as text. Hitting \"`shift + enter`\" renders the text in the formatting you specify.\n", "\n", "You can specify a cell as being a markdown cell in the Jupyter tool bar, or by hitting \"`esc, m`\" in the cell. Again, you have to hit enter after using the quick keys to bring the cell into edit mode.\n", "\n", "In addition to HTML, some $\\LaTeX$ expressions may be inserted into markdown cells. $\\LaTeX$ (pronounced \"lay-tech\") is a document markup language that uses the $\\TeX$ typesetting software. It is particularly well-suited for beautiful typesetting of mathematical expressions. In Jupyter notebooks, the $\\LaTeX$ mathematical input is rendered using software called MathJax. This is run off of a remote server, so if you are not connected to the internet, your equations will not be rendered. You will use $\\LaTeX$ extensively in preparation of your assignments. There are plenty of resources on the internet for getting started with $\\LaTeX$, but you will only need a tiny subset of its functionality in your assignments, and [the intro to LaTeX](intro_to_latex.html), plus cheat sheets you may find by Google (such as [this one](http://users.dickinson.edu/~richesod/latex/latexcheatsheet.pdf)) are useful.\n", "\n", "You can also include images in Markdown cells. You will likely want to do this in your homework to include images produced by the NUPACK web app. The syntax for including an image is\n", "\n", " ![text describing image](path/to/image)\n", "\n", "For example, if I wanted to shoe an image called `nupack-hairpin.png`, I would do the following.\n", "\n", " ![NUPACK hairpin logo](nupack-hairpin.png)\n", "\n", "And here is the result...\n", "![NUPACK hairpin logo](nupack-hairpin.png)\n", "\n", "Wow, that's huge! If you want to be able to size it, you can insert HTML to do so. Here, we would do\n", "\n", " \"NUPACK\n", " \n", "And here is the result.\n", "\"NUPACK\n", "\n", "Note that the images are **not** embedded in the notebooks or in any HTML you output (see below). The images are only linked to in the Jupyter notebook. When submitting your notebook, you also need to submit your images." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Saving your Jupyter notebook as HTML\n", "\n", "To save your Jupyter notebook as HTML, just click \n", " File -> Download as -> HTML\n", " \n", "in the menu bar. You should submit your homework via email *both* as the original Jupyter notebook (`.ipynb`) *and* as HTML (`.html`)." ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.6.2" } }, "nbformat": 4, "nbformat_minor": 1 }