lower case names for keys

IPython/html/static/notebook/js/quickhelp.js

@@ -1,133 +1,133 b''
 //----------------------------------------------------------------------------
 //  Copyright (C) 2008-2011  The IPython Development Team
 //
 //  Distributed under the terms of the BSD License.  The full license is in
 //  the file COPYING, distributed as part of this software.
 //----------------------------------------------------------------------------
 
 //============================================================================
 // QuickHelp button
 //============================================================================
 
 var IPython = (function (IPython) {
     "use strict";
 
     var QuickHelp = function (selector) {
     };
 
     QuickHelp.prototype.show_keyboard_shortcuts = function () {
         // toggles display of keyboard shortcut dialog
         var that = this;
         if ( this.shortcut_dialog ){
             // if dialog is already shown, close it
             $(this.shortcut_dialog).modal("toggle");
             return;
         }
         var command_shortcuts = IPython.keyboard_manager.command_shortcuts.help();
         var edit_shortcuts = IPython.keyboard_manager.edit_shortcuts.help();
         var help, shortcut;
         var i, half, n;
         var element = $('<div/>');
 
         // The documentation
         var doc = $('<div/>').addClass('alert');
         doc.append(
             $('<button/>').addClass('close').attr('data-dismiss','alert').html('&times;')
         ).append(
             'The IPython Notebook has two different keyboard input modes. <b>Edit mode</b> '+
             'allows you to type code/text into a cell and is indicated by a green cell '+
             'border. <b>Command mode</b> binds the keyboard to notebook level actions '+
             'and is indicated by a grey cell border.'
         )
         element.append(doc);
 
         // Command mode
         var cmd_div = this.build_command_help();
         element.append(cmd_div);
 
         // Edit mode
         var edit_div = this.build_edit_help();
         element.append(edit_div);
 
         this.shortcut_dialog = IPython.dialog.modal({
             title : "Keyboard shortcuts",
             body : element,
             destroy : false,
             buttons : {
                 Close : {}
             }
         });
     };
 
     QuickHelp.prototype.build_command_help = function () {
         var command_shortcuts = IPython.keyboard_manager.command_shortcuts.help();
         var help, shortcut;
         var i, half, n;
 
         // Command mode
-        var cmd_div = $('<div/>').append($('<h4>Command Mode (press ESC to enable)</h4>'));
+        var cmd_div = $('<div/>').append($('<h4>Command Mode (press <tt>esc</tt> to enable)</h4>'));
         var cmd_sub_div = $('<div/>').addClass('hbox');
         var cmd_col1 = $('<div/>').addClass('box-flex0');
         var cmd_col2 = $('<div/>').addClass('box-flex0');
         n = command_shortcuts.length;
         half = ~~(n/2);  // Truncate :)
         for (i=0; i<half; i++) {
             help = command_shortcuts[i]['help'];
             shortcut = command_shortcuts[i]['shortcut'];
             cmd_col1.append($('<div>').addClass('quickhelp').
                 append($('<span/>').addClass('shortcut_key').text(shortcut)).
                 append($('<span/>').addClass('shortcut_descr').text(' : ' + help))
             );
         };
         for (i=half; i<n; i++) {
             help = command_shortcuts[i]['help'];
             shortcut = command_shortcuts[i]['shortcut'];
             cmd_col2.append($('<div>').addClass('quickhelp').
                 append($('<span/>').addClass('shortcut_key').text(shortcut)).
                 append($('<span/>').addClass('shortcut_descr').text(' : ' + help))
             );
         };
         cmd_sub_div.append(cmd_col1).append(cmd_col2);
         cmd_div.append(cmd_sub_div);
         return cmd_div;
     }
 
     QuickHelp.prototype.build_edit_help = function () {
         var edit_shortcuts = IPython.keyboard_manager.edit_shortcuts.help();
         var help, shortcut;
         var i, half, n;
 
         // Edit mode
-        var edit_div = $('<div/>').append($('<h4>Edit Mode (press ENTER to enable)</h4>'));
+        var edit_div = $('<div/>').append($('<h4>Edit Mode (press <tt>enter</tt> to enable)</h4>'));
         var edit_sub_div = $('<div/>').addClass('hbox');
         var edit_col1 = $('<div/>').addClass('box-flex0');
         var edit_col2 = $('<div/>').addClass('box-flex0');
         n = edit_shortcuts.length;
         half = ~~(n/2);  // Truncate :)
         for (i=0; i<half; i++) {
             help = edit_shortcuts[i]['help'];
             shortcut = edit_shortcuts[i]['shortcut'];
             edit_col1.append($('<div>').addClass('quickhelp').
                 append($('<span/>').addClass('shortcut_key').text(shortcut)).
                 append($('<span/>').addClass('shortcut_descr').text(' : ' + help))
             );
         };
         for (i=half; i<n; i++) {
             help = edit_shortcuts[i]['help'];
             shortcut = edit_shortcuts[i]['shortcut'];
             edit_col2.append($('<div>').addClass('quickhelp').
                 append($('<span/>').addClass('shortcut_key').text(shortcut)).
                 append($('<span/>').addClass('shortcut_descr').text(' : ' + help))
             );
         };
         edit_sub_div.append(edit_col1).append(edit_col2);
         edit_div.append(edit_sub_div);
         return edit_div;
     }
 
     // Set module variables
     IPython.QuickHelp = QuickHelp;
 
     return IPython;
 
 }(IPython));

IPython/html/static/notebook/js/tour.js

@@ -1,175 +1,175 b''
 //----------------------------------------------------------------------------
 //  Copyright (C) 2011  The IPython Development Team
 //
 //  Distributed under the terms of the BSD License.  The full license is in
 //  the file COPYING, distributed as part of this software.
 //----------------------------------------------------------------------------
 
 //============================================================================
 // Tour of IPython Notebok UI (with Bootstrap Tour)
 //============================================================================
 
 var tour_steps = [
   { 
     element: $("#ipython_notebook"),
     title: "Welcome to the Notebook Tour",
     placement: 'bottom',
     content: "This tour will take 2 minutes.",
     backdrop: true,
   }, {
     element: "#notebook_name",
     title: "Filename",
     placement: 'bottom',
     content: "Click here to change the filename for this notebook."
   }, {
     element: "#checkpoint_status",
     title: "Checkpoint Status",
     placement: 'bottom',
     content: "Information about the last time this notebook was saved."
   }, {
     element: $("#menus").parent(),
     placement: 'bottom',
     backdrop: true,
     title: "Notebook Menubar",
     content: "The menubar has menus for actions on the notebook, its cells, and the kernel it communicates with."
   }, {
     element: "#maintoolbar",
     placement: 'bottom',
     backdrop: true,
     title: "Notebook Toolbar",
     content: "The toolbar has buttons for the most common actions. Hover your mouse over each button for more information."
   }, {
     element: "#modal_indicator",
     title: "Mode Indicator",
     placement: 'bottom',
     content: "IPython has two modes: Edit Mode and Command Mode. In this area, an indicator can appear to tell you which mode you are in.",
     onShow: function(tour) { command_icon_hack(); }
   }, {
     element: "#modal_indicator",
     title: "Command Mode",
     placement: 'bottom',
     onShow: function(tour) { IPython.notebook.command_mode(); command_icon_hack(); },
     onNext: function(tour) { edit_mode(); },
     content: "Right now you are in Command Mode, and many keyboard shortcuts are available. In this mode, no icon is displayed in the indicator area."
   }, {
     element: "#modal_indicator",
     title: "Edit Mode",
     placement: 'bottom',
     onShow: function(tour) { edit_mode(); },
-    content: "Pressing Enter or clicking in the input text area of the cell switches to Edit Mode."
+    content: "Pressing <tt>enter</tt> or clicking in the input text area of the cell switches to Edit Mode."
   }, {
     element: '.selected',
     title: "Edit Mode",
     placement: 'bottom',
     onShow: function(tour) { edit_mode(); },
     content: "Notice that the border around the currently active cell changed color. Typing will insert text into the currently active cell."
   }, {
     element: '.selected',
     title: "Back to Command Mode",
     placement: 'bottom',
     onShow: function(tour) { IPython.notebook.command_mode(); },
-    content: "Pressing Esc or clicking outside of the input text area takes you back to Command Mode."
+    content: "Pressing <tt>esc</tt> or clicking outside of the input text area takes you back to Command Mode."
   }, {
     element: '#keyboard_shortcuts',
     title: "Keyboard Shortcuts",
     placement: 'bottom',
     onShow: function(tour) { $('#help_menu').parent().addClass('open'); },
     onHide: function(tour) { $('#help_menu').parent().removeClass('open'); },
     content: "You can click here to get a list of all of the keyboard shortcuts."
   }, {
     element: "#kernel_indicator",
     title: "Kernel Indicator",
     placement: 'bottom',
     onShow: function(tour) { $([IPython.events]).trigger('status_idle.Kernel');},
     content: "This is the Kernel indicator. It looks like this when the Kernel is idle.",
   }, {
     element: "#kernel_indicator",
     title: "Kernel Indicator",
     placement: 'bottom',
     onShow: function(tour) { $([IPython.events]).trigger('status_busy.Kernel'); },
     content: "The Kernel indicator looks like this when the Kernel is busy.",
   }, {
     element: ".icon-stop",
     placement: 'bottom',
     title: "Interrupting the Kernel",
     onHide: function(tour) { $([IPython.events]).trigger('status_idle.Kernel'); },
     content: "To cancel a computation in progress, you can click here."
   }, {
     element: "#notification_kernel",
     placement: 'bottom',
     onShow: function(tour) { $('.icon-stop').click(); },
     title: "Notification Area",
     content: "Messages in response to user actions (Save, Interrupt, etc) appear here."
   }, {
     element: "#ipython_notebook",
     title: "Fin.",
     placement: 'bottom',
     backdrop: true,
     content: "This concludes the IPython Notebook User Interface Tour. Happy hacking!",
   }
 ];
 
 var tour_style = "<div class='popover tour' style='position:relative'>\
   <div class='arrow'></div>\
     <div style='position:absolute; top:7px; right:7px'>\
         <button class='btn btn-sm icon-remove' data-role='end'></button></div>\
   <h3 class='popover-title'></h3>\
   <div class='popover-content'></div>\
   <div class='popover-navigation'>\
     <button class='btn btn-default icon-step-backward' data-role='prev'></button>\
     <button class='btn btn-default icon-step-forward pull-right' data-role='next'></button>\
     <button id='tour-pause' class='btn btn-sm btn-default icon-pause' data-resume-text='' data-pause-text='' data-role='pause-resume'></button>\
   </div>\
 </div>";
 
 var command_icon_hack =  function() {$('#modal_indicator').css('min-height', 20);}
 var toggle_pause_play = function () { $('#tour-pause').toggleClass('icon-pause icon-play'); };
 var edit_mode = function() { 
     IPython.notebook.focus_cell(); 
     IPython.notebook.edit_mode();
 ;}
 
 IPython = (function (IPython) {
  "use strict";
 
     
     var NotebookTour = function () {
         this.step_duration = 0;
         this.tour_steps = tour_steps ;
         this.tour_steps[0].content = "You can use the left and right arrow keys to go backwards and forwards.";
         this.tour = new Tour({
             //orphan: true,
             storage: false, // start tour from beginning every time
             //element: $("#ipython_notebook"),
             debug: true,
             reflex: true, // click on element to continue tour
             //backdrop: true, // show dark behind popover
             animation: false,
             duration: this.step_duration,
             onStart: function() { console.log('tour started'); },
             // TODO: remove the onPause/onResume logic once pi's patch has been
             // merged upstream to make this work via data-resume-class and 
             // data-resume-text attributes.
             onPause: toggle_pause_play,
             onResume: toggle_pause_play,
             steps: this.tour_steps,
             template: tour_style
         });
         this.tour.init();
     };
 
     NotebookTour.prototype.start = function () {
         console.log("let's start the tour");
         this.tour.start();
         if (this.tour.ended())
         {
             this.tour.restart();
         }
     };
 
     // Set module variables
     IPython.NotebookTour = NotebookTour;
 
     return IPython;
 
 }(IPython));

examples/notebooks/Part 1 - Running Code.ipynb

@@ -1,472 +1,472 b''
 {
  "metadata": {
   "name": ""
  },
  "nbformat": 3,
  "nbformat_minor": 0,
  "worksheets": [
   {
    "cells": [
     {
      "cell_type": "heading",
      "level": 1,
      "metadata": {},
      "source": [
       "Running Code in the IPython Notebook"
      ]
     },
     {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
       "First and foremost, the IPython Notebook is an interactive environment for writing and running Python code."
      ]
     },
     {
      "cell_type": "heading",
      "level": 2,
      "metadata": {},
      "source": [
       "Code cells allow you to enter and run Python code"
      ]
     },
     {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
       "\n",
       "<script type=\"text/javascript\">\n",
       "var _toggle=false;\n",
       "var hl = function (id, on){\n",
       "    $(id)[0].style.background = '';\n",
       "    if (on) {\n",
       "        $(id)[0].style.background = 'lightcyan';\n",
       "    }\n",
       "};\n",
       "</script>\n",
       "\n",
-      "Run a code cell using `Shift-Enter` or pressing the <button><i class=\"icon-play\"></i></button> button in the <a href=\"#\" onMouseover=\"hl('#maintoolbar-container', 1)\" onMouseout=\"hl('#maintoolbar-container', 0)\">toolbar</a> above:"
+      "Run a code cell using `shift-enter` or pressing the <button><i class=\"icon-play\"></i></button> button in the <a href=\"#\" onMouseover=\"hl('#maintoolbar-container', 1)\" onMouseout=\"hl('#maintoolbar-container', 0)\">toolbar</a> above:"
      ]
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
       "a = 10"
      ],
      "language": "python",
      "metadata": {},
      "outputs": [],
      "prompt_number": 10
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
       "print(a)"
      ],
      "language": "python",
      "metadata": {},
      "outputs": [
       {
        "output_type": "stream",
        "stream": "stdout",
        "text": [
         "10\n"
        ]
       }
      ],
      "prompt_number": 11
     },
     {
      "cell_type": "heading",
      "level": 2,
      "metadata": {},
      "source": [
       "Managing the IPython Kernel"
      ]
     },
     {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
       "Code is run in a separate process called the IPython Kernel.  The Kernel can be interrupted or restarted.  Try running the following cell and then hit the <button><i class='icon-stop'></i></button> button in the <a href=\"#\" onMouseover=\"hl('#maintoolbar-container', 1)\" onMouseout=\"hl('#maintoolbar-container', 0)\">toolbar</a> above."
      ]
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
       "import time\n",
       "time.sleep(10)"
      ],
      "language": "python",
      "metadata": {},
      "outputs": [
       {
        "ename": "KeyboardInterrupt",
        "evalue": "",
        "output_type": "pyerr",
        "traceback": [
         "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
         "\u001b[0;32m<ipython-input-16-d7b436e260d5>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mtime\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mtime\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msleep\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m10\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
         "\u001b[0;31mKeyboardInterrupt\u001b[0m: "
        ]
       }
      ],
      "prompt_number": 16
     },
     {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
       "If the Kernel dies you will be prompted to restart it. Here we call the low-level system libc.time routine with the wrong argument via\n",
       "ctypes to segfault the Python interpreter:"
      ]
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
       "import sys\n",
       "from ctypes import CDLL\n",
       "# This will crash a Linux or Mac system; equivalent calls can be made on Windows\n",
       "dll = 'dylib' if sys.platform == 'darwin' else 'so.6'\n",
       "libc = CDLL(\"libc.%s\" % dll) \n",
       "libc.time(-1)  # BOOM!!"
      ],
      "language": "python",
      "metadata": {},
      "outputs": []
     },
     {
      "cell_type": "heading",
      "level": 2,
      "metadata": {},
      "source": [
       "All of the goodness of IPython works"
      ]
     },
     {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
       "Here are two system aliases:"
      ]
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
       "pwd"
      ],
      "language": "python",
      "metadata": {},
      "outputs": [
       {
        "metadata": {},
        "output_type": "pyout",
        "prompt_number": 4,
        "text": [
         "u'/Users/bgranger/Documents/Computation/IPython/code/ipython/examples/notebooks'"
        ]
       }
      ],
      "prompt_number": 4
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
       "ls"
      ],
      "language": "python",
      "metadata": {},
      "outputs": [
       {
        "output_type": "stream",
        "stream": "stdout",
        "text": [
         "01_notebook_introduction.ipynb        Octave Magic.ipynb\r\n",
         "Animations Using clear_output.ipynb   PyLab and Matplotlib.ipynb\r\n",
         "Basic Output.ipynb                    R Magics.ipynb\r\n",
         "Custom Display Logic.ipynb            Running Code.ipynb\r\n",
         "Cython Magics.ipynb                   Script Magics.ipynb\r\n",
         "Data Publication API.ipynb            SymPy Examples.ipynb\r\n",
         "Display System.ipynb                  Trapezoid Rule.ipynb\r\n",
         "JS Progress Bar.ipynb                 Typesetting Math Using MathJax.ipynb\r\n",
         "Local Files.ipynb                     animation.m4v\r\n",
         "Markdown Cells.ipynb                  python-logo.svg\r\n",
         "Notebook Tour.ipynb\r\n"
        ]
       }
      ],
      "prompt_number": 2
     },
     {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
       "Any command line program can be run using `!` with string interpolation from Python variables:"
      ]
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
       "message = 'The IPython notebook is great!'\n",
       "# note: the echo command does not run on Windows, it's a unix command.\n",
       "!echo $message"
      ],
      "language": "python",
      "metadata": {},
      "outputs": []
     },
     {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
       "Tab completion works:"
      ]
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
       "import numpy\n",
       "numpy.random."
      ],
      "language": "python",
      "metadata": {},
      "outputs": [],
      "prompt_number": 9
     },
     {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
       "Shift-Tab on selection, or after `(` brings up a tooltip with the docstring:"
      ]
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
       "numpy.random.rand("
      ],
      "language": "python",
      "metadata": {},
      "outputs": []
     },
     {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
       "Adding `?` opens the docstring in the pager below:"
      ]
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
       "magic?"
      ],
      "language": "python",
      "metadata": {},
      "outputs": [],
      "prompt_number": 8
     },
     {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
       "Exceptions are formatted nicely:"
      ]
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
       "x = 1\n",
       "y = 4\n",
       "z = y/(1-x)"
      ],
      "language": "python",
      "metadata": {},
      "outputs": [
       {
        "ename": "ZeroDivisionError",
        "evalue": "integer division or modulo by zero",
        "output_type": "pyerr",
        "traceback": [
         "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mZeroDivisionError\u001b[0m                         Traceback (most recent call last)",
         "\u001b[0;32m<ipython-input-15-dc39888fd1d2>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0mx\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      2\u001b[0m \u001b[0my\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m4\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mz\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
         "\u001b[0;31mZeroDivisionError\u001b[0m: integer division or modulo by zero"
        ]
       }
      ],
      "prompt_number": 15
     },
     {
      "cell_type": "heading",
      "level": 2,
      "metadata": {},
      "source": [
       "Working with external code"
      ]
     },
     {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
       "There are a number of ways of getting external code into code cells."
      ]
     },
     {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
       "Pasting code with `>>>` prompts works as expected:"
      ]
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
       ">>> the_world_is_flat = 1\n",
       ">>> if the_world_is_flat:\n",
       "...     print(\"Be careful not to fall off!\")"
      ],
      "language": "python",
      "metadata": {},
      "outputs": [
       {
        "output_type": "stream",
        "stream": "stdout",
        "text": [
         "Be careful not to fall off!\n"
        ]
       }
      ],
      "prompt_number": 1
     },
     {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
       "The `%load` magic lets you load code from URLs or local files:"
      ]
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
       "%load?"
      ],
      "language": "python",
      "metadata": {},
      "outputs": [],
      "prompt_number": 14
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
       "%matplotlib inline"
      ],
      "language": "python",
      "metadata": {},
      "outputs": [],
      "prompt_number": 1
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
       "%load http://matplotlib.org/mpl_examples/showcase/integral_demo.py"
      ],
      "language": "python",
      "metadata": {},
      "outputs": [],
      "prompt_number": 2
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
       "\"\"\"\n",
       "Plot demonstrating the integral as the area under a curve.\n",
       "\n",
       "Although this is a simple example, it demonstrates some important tweaks:\n",
       "\n",
       "    * A simple line plot with custom color and line width.\n",
       "    * A shaded region created using a Polygon patch.\n",
       "    * A text label with mathtext rendering.\n",
       "    * figtext calls to label the x- and y-axes.\n",
       "    * Use of axis spines to hide the top and right spines.\n",
       "    * Custom tick placement and labels.\n",
       "\"\"\"\n",
       "import numpy as np\n",
       "import matplotlib.pyplot as plt\n",
       "from matplotlib.patches import Polygon\n",
       "\n",
       "\n",
       "def func(x):\n",
       "    return (x - 3) * (x - 5) * (x - 7) + 85\n",
       "\n",
       "\n",
       "a, b = 2, 9 # integral limits\n",
       "x = np.linspace(0, 10)\n",
       "y = func(x)\n",
       "\n",
       "fig, ax = plt.subplots()\n",
       "plt.plot(x, y, 'r', linewidth=2)\n",
       "plt.ylim(ymin=0)\n",
       "\n",
       "# Make the shaded region\n",
       "ix = np.linspace(a, b)\n",
       "iy = func(ix)\n",
       "verts = [(a, 0)] + list(zip(ix, iy)) + [(b, 0)]\n",
       "poly = Polygon(verts, facecolor='0.9', edgecolor='0.5')\n",
       "ax.add_patch(poly)\n",
       "\n",
       "plt.text(0.5 * (a + b), 30, r\"$\\int_a^b f(x)\\mathrm{d}x$\",\n",
       "         horizontalalignment='center', fontsize=20)\n",
       "\n",
       "plt.figtext(0.9, 0.05, '$x$')\n",
       "plt.figtext(0.1, 0.9, '$y$')\n",
       "\n",
       "ax.spines['right'].set_visible(False)\n",
       "ax.spines['top'].set_visible(False)\n",
       "ax.xaxis.set_ticks_position('bottom')\n",
       "\n",
       "ax.set_xticks((a, b))\n",
       "ax.set_xticklabels(('$a$', '$b$'))\n",
       "ax.set_yticks([])\n",
       "\n",
       "plt.show()\n"
      ],
      "language": "python",
      "metadata": {},
      "outputs": [
       {
        "metadata": {
         "png": {
          "height": 401,
          "width": 596
         }
        },
        "output_type": "display_data",
        "png": 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GqjSNtilToulXv8qMe/be2yf5UXeUVAAAADBGladPj5bvfS8z69t991g8a1ZE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\n9ttvwdcKJ++//74k6c4777Q5CQAAOBlKKhSNz6fEfv1kZGQER2ZSktK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        "text": [
         "<matplotlib.figure.Figure at 0x1078d7e10>"
        ]
       }
      ],
      "prompt_number": 3
     }
    ],
    "metadata": {}
   }
  ]
 }
  No newline at end of file