tutorial_1_JupyterLab.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction to Jupyter Lab (JLab)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This note presents the basics on how to use JLab Notebook. You can find very detailed and up-to-date tutorials [here](https://jupyterlab.readthedocs.io/en/stable/index.html). Let's start by importing all the modules we need in this notebook.\n",
    "\n",
    "###"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import numerical packages\n",
    "import numpy as np\n",
    "import scipy.integrate\n",
    "\n",
    "# Import pyplot for plotting\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# This enables high resolution PNGs. SVG is preferred, but has problems\n",
    "# rendering vertical and horizontal lines\n",
    "%config InlineBackend.figure_formats = {'png', 'retina'}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Contents\n",
    "* [What is Jupyter Lab?](#What-is-Jupyter-Lab?)\n",
    "* [Cells](#Cells)\n",
    "* [Code Cells](#Code-Cells)\n",
    "    - [Display of graphics](#Display-of-graphics)\n",
    "    - [Proper formatting of cells](#Proper-formatting-of-cells)\n",
    "    - [Best practices for code cells](#Best-practices-for-code-cells)\n",
    "* [Markdown cells](#Markdown-cells)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## What is Jupyter Lab?\n",
    "[Jupyter Lab](http://jupyter.org) is an integrated development environment (IDE) used \n",
    "for combined interactive coding and word processing (with math notations!) 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. The name \"Jupyter\" is an acronym for [**Ju**lia](http://julialang.org/)-[**Py**thon](http://python.org/)-[**R**](https://www.r-project.org). However, you currently can run over 40 different languages in a JLab, not just Julia, Python, and R."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Cells\n",
    "A JLab notebook consists of **cells**.  The two main types of cells you will use are **code cells** and **markdown cells**.\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 JLab notebook toolbar.  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 not known to the Python interpreter.\n",
    "\n",
    "  * A **Markdown cell** contains 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 JLab notebook 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`.\" There is another shot cut, \"`ctrl+enter`\", which execute a cell but not add a new line below. If you want to delete a cell, use \"`esc, dd`\". "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Code Cells\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": [
    "# If this is the last row, it will print out 9. But since it is not the last, it will not print the result.\n",
    "4 + 5\n",
    "\n",
    "# We will see 11.\n",
    "5 + 6"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "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": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "# Variable assignment and no visible output.\n",
    "a = 5 + 6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "tags": []
   },
   "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": [
    "## Output is asynchronous"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "All output is displayed asynchronously as it is generated in the Kernel. If you execute the next cell, you will see the output one piece at a time, not all at the end."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n",
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      "5\n",
      "6\n",
      "7\n"
     ]
    }
   ],
   "source": [
    "import time, sys\n",
    "for i in range(8):\n",
    "    print(i)\n",
    "    time.sleep(2) # Experiment by changing the argument value."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Remark.** Python `sleep()` is a method of python `time` module. The argument of the `sleep()` method is in seconds. That means, when the statement `time.sleep(t)` is executed, then the next line of code will be executed after $t$ seconds."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Large outputs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To better handle large outputs, the output area can be collapsed. Run the following cell and then single- or double- click on the active area to the left of the output:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": true,
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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     ]
    }
   ],
   "source": [
    "for i in range(50):\n",
    "    print(i)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can enable and disable the scroll mode in an output cell:\n",
    " 1. Move the pointer onto the output cell, and then click the right button of a mouse to show the context menu.\n",
    " 2. Select [Enable Scrolling for Outputs] or [Disable Scrolling for Outputs]"
   ]
  },
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    "scrolled": true,
    "tags": []
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      "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243583\n",
      "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167\n",
      "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974335\n",
      "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948671\n",
      "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897343\n",
      "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794687\n"
     ]
    }
   ],
   "source": [
    "for i in range(500):\n",
    "    print(2**i - 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "### Display of graphics\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. Below is an example of graphics displayed inline."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '$\\\\mathrm{e}^{\\\\sin{x}}$')"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 261,
       "width": 394
      },
      "needs_background": "light"
     },
     "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'$\\mathrm{e}^{\\sin{x}}$') # y label in math notation using LaTex."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Proper formatting of cells\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."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "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": 11,
   "metadata": {
    "tags": []
   },
   "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": 12,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, '$x$-$z$ proj. of Lorenz attractor traj.')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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",
    "Here is a summary of some general rules for composing and formatting your code cells.\n",
    "1. Keep your code cells short.  If you find yourself having one massive code cell, break it up.\n",
    "2. Always properly comment your code.  Provide complete doc strings for any functions you define.\n",
    "3. 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."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Markdown cells\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. There are plenty of resources on the internet for getting started with $\\LaTeX$, but you will only need a tiny subset of its functionality, and  cheat sheets you may find by Google (such as [this one](https://wch.github.io/latexsheet/latexsheet-a4.pdf)) are useful."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "SciML",
   "language": "python",
   "name": "sciml"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}