Minor changes to nb examples

examples/Notebook/Examples/Importing Notebooks.ipynb

@@ -1,7 +1,8 b''
 {
  "metadata": {
   "gist_id": "6011986",
-  "name": ""
+  "name": "",
+  "signature": "sha256:26d4e13b833b84557da8501e68fc5119f11a3c1cdbecba63c0ab613e0cb0619f"
  },
  "nbformat": 3,
  "nbformat_minor": 0,
@@ -260,7 +261,7 b''
      "cell_type": "code",
      "collapsed": false,
      "input": [
-      "ls nbimp"
+      "ls nbpackage"
      ],
      "language": "python",
      "metadata": {},
@@ -269,7 +270,7 b''
        "output_type": "stream",
        "stream": "stdout",
        "text": [
-        "__init__.py       __init__.pyc      bs.ipynb          mynotebook.ipynb  \u001b[34mnbs\u001b[m\u001b[m/\r\n"
+        "__init__.py       mynotebook.ipynb  \u001b[34mnbs\u001b[m\u001b[m/\r\n"
        ]
       }
      ],
@@ -392,7 +393,7 b''
        "metadata": {},
        "output_type": "display_data",
        "text": [
-        "<IPython.core.display.HTML at 0x10a006890>"
+        "<IPython.core.display.HTML at 0x1072303d0>"
        ]
       }
      ],
@@ -415,7 +416,7 b''
       "            html.append(\"<pre>%s</pre>\" % cell.source)\n",
       "    display(HTML('\\n'.join(html)))\n",
       "\n",
-      "show_notebook(os.path.join(\"nbimp\", \"mynotebook.ipynb\"))"
+      "show_notebook(os.path.join(\"nbpackage\", \"mynotebook.ipynb\"))"
      ],
      "language": "python",
      "metadata": {},
@@ -443,11 +444,11 b''
        "metadata": {},
        "output_type": "display_data",
        "text": [
-        "<IPython.core.display.HTML at 0x10ad7af10>"
+        "<IPython.core.display.HTML at 0x10775a150>"
        ]
       }
      ],
-     "prompt_number": 9
+     "prompt_number": 10
     },
     {
      "cell_type": "markdown",
@@ -463,7 +464,7 b''
      "cell_type": "code",
      "collapsed": false,
      "input": [
-      "from nbimp import mynotebook"
+      "from nbpackage import mynotebook"
      ],
      "language": "python",
      "metadata": {},
@@ -472,11 +473,11 b''
        "output_type": "stream",
        "stream": "stdout",
        "text": [
-        "importing IPython notebook from nbimp/mynotebook.ipynb\n"
+        "importing IPython notebook from nbpackage/mynotebook.ipynb\n"
        ]
       }
      ],
-     "prompt_number": 10
+     "prompt_number": 11
     },
     {
      "cell_type": "markdown",
@@ -497,13 +498,13 b''
       {
        "metadata": {},
        "output_type": "pyout",
-       "prompt_number": 11,
+       "prompt_number": 12,
        "text": [
         "'foo'"
        ]
       }
      ],
-     "prompt_number": 11
+     "prompt_number": 12
     },
     {
      "cell_type": "markdown",
@@ -526,39 +527,20 b''
       {
        "metadata": {},
        "output_type": "pyout",
-       "prompt_number": 12,
+       "prompt_number": 13,
        "text": [
         "['Animations Using clear_output.ipynb',\n",
-        " 'Cell Magics.ipynb',\n",
-        " 'Custom Display Logic.ipynb',\n",
-        " 'Cython Magics.ipynb',\n",
-        " 'Data Publication API.ipynb',\n",
-        " 'Frontend-Kernel Model.ipynb',\n",
+        " 'Connecting with the Qt Console.ipynb',\n",
         " 'Importing Notebooks.ipynb',\n",
-        " 'Octave Magic.ipynb',\n",
-        " 'Part 1 - Running Code.ipynb',\n",
-        " 'Part 2 - Basic Output.ipynb',\n",
-        " 'Part 3 - Plotting with Matplotlib.ipynb',\n",
-        " 'Part 4 - Markdown Cells.ipynb',\n",
-        " 'Part 5 - Rich Display System.ipynb',\n",
         " 'Progress Bars.ipynb',\n",
-        " 'R Magics.ipynb',\n",
-        " 'README.md',\n",
-        " 'Script Magics.ipynb',\n",
-        " 'SymPy Examples.ipynb',\n",
+        " 'Raw Input.ipynb',\n",
+        " 'SymPy.ipynb',\n",
         " 'Trapezoid Rule.ipynb',\n",
-        " 'Typesetting Math Using MathJax.ipynb',\n",
-        " 'animation.m4v',\n",
-        " 'foo.pyx',\n",
-        " 'lnum.py',\n",
-        " 'logo',\n",
-        " 'nbimp',\n",
-        " 'python-logo.svg',\n",
-        " 'test.html']"
+        " 'nbpackage']"
        ]
       }
      ],
-     "prompt_number": 12
+     "prompt_number": 13
     },
     {
      "cell_type": "heading",
@@ -580,7 +562,7 b''
      "cell_type": "code",
      "collapsed": false,
      "input": [
-      "ls nbimp/nbs"
+      "ls nbpackage/nbs"
      ],
      "language": "python",
      "metadata": {},
@@ -589,11 +571,11 b''
        "output_type": "stream",
        "stream": "stdout",
        "text": [
-        "__init__.py   __init__.pyc  other.ipynb\r\n"
+        "__init__.py  other.ipynb\r\n"
        ]
       }
      ],
-     "prompt_number": 13
+     "prompt_number": 14
     },
     {
      "cell_type": "markdown",
@@ -607,7 +589,7 b''
      "cell_type": "code",
      "collapsed": false,
      "input": [
-      "show_notebook(os.path.join(\"nbimp\", \"nbs\", \"other.ipynb\"))"
+      "show_notebook(os.path.join(\"nbpackage\", \"nbs\", \"other.ipynb\"))"
      ],
      "language": "python",
      "metadata": {},
@@ -624,17 +606,17 b''
        "metadata": {},
        "output_type": "display_data",
        "text": [
-        "<IPython.core.display.HTML at 0x10ad56090>"
+        "<IPython.core.display.HTML at 0x10775a250>"
        ]
       }
      ],
-     "prompt_number": 14
+     "prompt_number": 15
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
-      "from nbimp.nbs import other\n",
+      "from nbpackage.nbs import other\n",
       "other.bar(5)"
      ],
      "language": "python",
@@ -644,19 +626,19 b''
        "output_type": "stream",
        "stream": "stdout",
        "text": [
-        "importing IPython notebook from nbimp/nbs/other.ipynb\n"
+        "importing IPython notebook from nbpackage/nbs/other.ipynb\n"
        ]
       },
       {
        "metadata": {},
        "output_type": "pyout",
-       "prompt_number": 15,
+       "prompt_number": 16,
        "text": [
         "'barbarbarbarbar'"
        ]
       }
      ],
-     "prompt_number": 15
+     "prompt_number": 16
     },
     {
      "cell_type": "markdown",
@@ -675,14 +657,14 b''
       "from IPython.utils.path import get_ipython_package_dir\n",
       "\n",
       "utils = os.path.join(get_ipython_package_dir(), 'utils')\n",
-      "shutil.copy(os.path.join(\"nbimp\", \"mynotebook.ipynb\"),\n",
+      "shutil.copy(os.path.join(\"nbpackage\", \"mynotebook.ipynb\"),\n",
       "            os.path.join(utils, \"inside_ipython.ipynb\")\n",
       ")"
      ],
      "language": "python",
      "metadata": {},
      "outputs": [],
-     "prompt_number": 16
+     "prompt_number": 17
     },
     {
      "cell_type": "markdown",
@@ -705,83 +687,26 b''
        "output_type": "stream",
        "stream": "stdout",
        "text": [
-        "importing IPython notebook from /Users/minrk/dev/ip/mine/IPython/utils/inside_ipython.ipynb\n"
+        "importing IPython notebook from /Users/bgranger/Documents/Computing/IPython/code/ipython/IPython/utils/inside_ipython.ipynb\n"
        ]
       },
       {
        "metadata": {},
        "output_type": "pyout",
-       "prompt_number": 17,
+       "prompt_number": 18,
        "text": [
         "'IPython.utils.inside_ipython'"
        ]
       }
      ],
-     "prompt_number": 17
-    },
-    {
-     "cell_type": "heading",
-     "level": 2,
-     "metadata": {},
-     "source": [
-      "Even Cython magics"
-     ]
+     "prompt_number": 18
     },
     {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
-      "With a bit of extra magic for handling the IPython interactive namespace during load,\n",
-      "even magics like `%%cython` can be used:"
+      "This approach can even import functions and classes that are defined in a notebook using the `%%cython` magic."
      ]
-    },
-    {
-     "cell_type": "code",
-     "collapsed": false,
-     "input": [
-      "import Cython_Magics"
-     ],
-     "language": "python",
-     "metadata": {},
-     "outputs": [
-      {
-       "output_type": "stream",
-       "stream": "stdout",
-       "text": [
-        "importing IPython notebook from Cython Magics.ipynb\n",
-        "1000000 loops, best of 3: 439 ns per loop"
-       ]
-      },
-      {
-       "output_type": "stream",
-       "stream": "stdout",
-       "text": [
-        "\n",
-        "sin(1)= 0.841470984808\n"
-       ]
-      }
-     ],
-     "prompt_number": 18
-    },
-    {
-     "cell_type": "code",
-     "collapsed": false,
-     "input": [
-      "Cython_Magics.black_scholes(100.0, 100.0, 1.0, 0.3, 0.03, 0.0, -1)"
-     ],
-     "language": "python",
-     "metadata": {},
-     "outputs": [
-      {
-       "metadata": {},
-       "output_type": "pyout",
-       "prompt_number": 19,
-       "text": [
-        "10.327861752731728"
-       ]
-      }
-     ],
-     "prompt_number": 19
     }
    ],
    "metadata": {}

examples/Notebook/Examples/Progress Bars.ipynb

@@ -1,6 +1,7 b''
 {
  "metadata": {
-  "name": "Progress Bars"
+  "name": "",
+  "signature": "sha256:b27252cd7971960ff2eae7ecf0460051d87c002b4370d791970fb47ea62143c3"
  },
  "nbformat": 3,
  "nbformat_minor": 0,
@@ -16,6 +17,13 b''
      ]
     },
     {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "This notebook demonstrates two ways of creating progress bars using simple animations. A better approach after IPython 2.0 would be to use the `IntProgressWidget` or `FloatProgressWidget` in `IPython.html.widgets`."
+     ]
+    },
+    {
      "cell_type": "heading",
      "level": 2,
      "metadata": {},
@@ -54,8 +62,1022 b''
      ],
      "language": "python",
      "metadata": {},
-     "outputs": [],
-     "prompt_number": 2
+     "outputs": [
+      {
+       "html": [
+        "\n",
+        "<div style=\"border: 1px solid black; width:500px\">\n",
+        "  <div id=\"d3d8c575-04ee-4df1-90a4-a691bd98f43f\" style=\"background-color:blue; width:0%\">&nbsp;</div>\n",
+        "</div> \n"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.HTML at 0x106255ed0>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('1%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106255f10>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('2%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106255e50>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('3%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106255f50>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('4%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257310>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('5%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257350>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('6%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257510>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('7%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x1062573d0>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('8%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257410>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('9%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257450>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('10%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x1062574d0>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('11%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257550>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('12%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257590>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('13%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106255f50>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('14%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106255e50>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('15%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106255f10>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('16%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257590>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('17%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257610>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('18%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257650>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('19%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257690>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('20%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257390>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('21%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x1062576d0>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('22%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257710>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('23%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257750>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('24%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257550>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('25%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x1062574d0>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('26%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257450>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('27%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257410>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('28%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x1062573d0>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('29%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257510>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('30%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257350>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('31%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257310>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('32%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257790>"
+       ]
+      },
+      {
+       "javascript": [
+        "$('div#d3d8c575-04ee-4df1-90a4-a691bd98f43f').width('33%')"
+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x1062577d0>"
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+       ],
+       "metadata": {},
+       "output_type": "display_data",
+       "text": [
+        "<IPython.core.display.Javascript at 0x106257b90>"
+       ]
+      }
+     ],
+     "prompt_number": 1
     },
     {
      "cell_type": "markdown",
@@ -124,7 +1146,7 b''
      "language": "python",
      "metadata": {},
      "outputs": [],
-     "prompt_number": 3
+     "prompt_number": 2
     },
     {
      "cell_type": "code",
@@ -137,8 +1159,8017 b''
      ],
      "language": "python",
      "metadata": {},
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+       ]
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+       ]
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+       "text": [
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+       ]
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+       ]
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+       "stream": "stdout",
+       "text": [
+        "\r",
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+       ]
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+       ]
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+       ]
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+       ]
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+       ]
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+       ]
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+       ]
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+       ]
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+       ]
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+       ]
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+       ]
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+       "stream": "stdout",
+       "text": [
+        "\r",
+        " [**********************92%*******************    ]  916 of 1000 complete"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
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+        "\r",
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+       ]
+      },
+      {
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+        "\r",
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+       ]
+      },
+      {
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+       ]
+      },
+      {
+       "output_type": "stream",
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+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
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+        "\r",
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+       ]
+      },
+      {
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+        "\r",
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+       ]
+      },
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+        "\r",
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+       ]
+      },
+      {
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+        "\r",
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+       ]
+      },
+      {
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+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
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+        "\r",
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+       ]
+      },
+      {
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+        "\r",
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+       ]
+      },
+      {
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+        "\r",
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+       ]
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+       ]
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+       ]
+      },
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+       ]
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+       ]
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+       ]
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+        "\r",
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+       ]
+      },
+      {
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+        "\r",
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+       ]
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+       ]
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+       ]
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+      {
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+        "\r",
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+       ]
+      },
+      {
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+       ]
+      },
+      {
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+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
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+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
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+        "\r",
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+       ]
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+      {
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+        "\r",
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+       ]
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+      {
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+        "\r",
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+       ]
+      },
+      {
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+        "\r",
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+       ]
+      },
+      {
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+       ]
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+       ]
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+       ]
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+       ]
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+      {
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+       ]
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+       ]
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+       ]
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+      {
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+       ]
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+       ]
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+      {
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+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
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+        "\r",
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+       ]
+      },
+      {
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+       ]
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+       ]
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+      {
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+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
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+        "\r",
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+       ]
+      },
+      {
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+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
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+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
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+       ]
+      },
+      {
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+       "stream": "stdout",
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+        "\r",
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+       ]
+      },
+      {
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+       "stream": "stdout",
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+        "\r",
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+       ]
+      },
+      {
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+       "stream": "stdout",
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+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
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+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
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+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
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+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
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+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
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+       ]
+      },
+      {
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+       "stream": "stdout",
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+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
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+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
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+       ]
+      },
+      {
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+       "stream": "stdout",
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+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
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+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
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+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
+        " [**********************99%***********************]  989 of 1000 complete"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
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+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
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+        "\r",
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+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
+        " [*********************100%***********************]  995 of 1000 complete"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
+        " [*********************100%***********************]  996 of 1000 complete"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
+        " [*********************100%***********************]  997 of 1000 complete"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
+        " [*********************100%***********************]  998 of 1000 complete"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
+        " [*********************100%***********************]  999 of 1000 complete"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\r",
+        " [*********************100%***********************]  1000 of 1000 complete"
+       ]
+      }
+     ],
+     "prompt_number": 3
     }
    ],
    "metadata": {}

examples/Notebook/Examples/SymPy.ipynb

@@ -1,6 +1,7 b''
 {
  "metadata": {
-  "name": ""
+  "name": "",
+  "signature": "sha256:a0f4cda82587c5b8e7a4502192d1210abedac9084077604eb60aea15f262a344"
  },
  "nbformat": 3,
  "nbformat_minor": 0,
@@ -27,7 +28,7 b''
       "from IPython.display import display\n",
       "\n",
       "from sympy.interactive import printing\n",
-      "printing.init_printing()\n",
+      "printing.init_printing(use_latex='mathjax')\n",
       "\n",
       "from __future__ import division\n",
       "import sympy as sym\n",
@@ -63,7 +64,6 b''
        ],
        "metadata": {},
        "output_type": "pyout",
-       "png": "iVBORw0KGgoAAAANSUhEUgAAAHAAAAAzBAMAAAC9ApG6AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nQmCC\n",
        "prompt_number": 2,
        "text": [
         "        \u2148\u22c5x \n",
@@ -91,7 +91,6 b''
        ],
        "metadata": {},
        "output_type": "pyout",
-       "png": "iVBORw0KGgoAAAANSUhEUgAAACkAAAAPBAMAAACLu/vuAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEM3dMiK7mat272aJ\nVER1AWP9AAAAiklEQVQYGWNggANFMIuxZroDXIiBIewjmMN0gdEUISpWARHdxcBwCCHKwAkRzWBg\nuC+AEIaK/mBgeH8BXZTxO1B0Aroo6x8GBv8DOESFjEFAhQFqGyNQLaYJDEBz72PYxmDGwLAf02Wz\nGBiKEJaBzZVXYGC+wLgEIcre9bmbgbmBgfHkDAeEKAoLAGTVKXybU7YXAAAAAElFTkSuQmCC\n",
        "prompt_number": 3,
        "text": [
         "-1.00000000000000"
@@ -146,7 +145,6 b''
        ],
        "metadata": {},
        "output_type": "pyout",
-       "png": "iVBORw0KGgoAAAANSUhEUgAAAgsAAAAPBAMAAACYf5HCAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\njp/0A2HdO72wUKUV4juHKOv/Qxz4F/nKkQHS8LrfAAAAAElFTkSuQmCC\n",
        "prompt_number": 6,
        "text": [
         "262537412640768743.99999999999925007259719818568888"
@@ -178,7 +176,6 b''
        ],
        "metadata": {},
        "output_type": "pyout",
-       "png": "iVBORw0KGgoAAAANSUhEUgAAAIoAAAAbBAMAAABRkwqxAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMmYiu80QdonvRN2Z\nVKvu110NAAACD0lEQVQ4Ea2UvS8EQRiHf3fr9va+uP/ANvqNqFRCQiPumlX4SDYRoeI6JMJFohPR\nINH4aEgUSlGQa0QjohMRCYVER0iu0PC+88HNZkWxppjZ+b3PPDs7kywQu630B7EdcLzmcnxLzku8\nx7dkdqyP+BagUP8PS67yH5YVkiRc6iJbsijjhBtZplAQyRo9dUQjqQB4lKVfCC4ycYBdYFCiod4q\nBUBKhtGEqBGRGL3vRboqUdWPydHufwmgaiZhe4081TKfn6/IGCluNLNIFnuNZyZRqGiCR0kAh40h\nTAtGuWgSpkUSAF/TxELnrHqFsRdRDBHaMnkBa0MuJ0M3bauaPM6V+bXhvbRxZBLaUr1F+hUQBHAK\nOIFTL3i8IGy548gklMW6PkdTFyAIYIv2ghTNZTO/qJVDk1AWG5tooVMQhGAg5sQv+/6J748IH9+R\nZMiiCcf3h9d9v0ZBto7W4reF9kvPRQQ8hr9IXI9J6HPJlzFHvLpAOrtCsIh0wI6wRZ9uA6EtTQ8Y\nIF6d7ipwdF1Cu3CELZecmoS25Luyb1QUhNjS1MzEkss8NX26V9tnLjDEEW26gdAW+3mef5SCAHLq\nipmnpi1iYq3xYBLaAuTLgCToF1ETC3S3px94dCrcm0TW5Qx4wvSOJmjaw1l0G5dxJHGMPqoq4te/\nFAvU8si/1P588YegT3N5QVRLejL9m/gCd/R8g+k5mUIAAAAASUVORK5CYII=\n",
        "prompt_number": 7,
        "text": [
         "               2\n",
@@ -203,7 +200,6 b''
        ],
        "metadata": {},
        "output_type": "pyout",
-       "png": "iVBORw0KGgoAAAANSUhEUgAAASgAAAAYBAMAAAC7JH0zAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nJhQ2HQAAAABJRU5ErkJggg==\n",
        "prompt_number": 8,
        "text": [
         " 3      2      2      2            2\n",
@@ -229,7 +225,6 b''
        ],
        "metadata": {},
        "output_type": "pyout",
-       "png": "iVBORw0KGgoAAAANSUhEUgAAALYAAAAqBAMAAADserwPAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nTkSuQmCC\n",
        "prompt_number": 9,
        "text": [
         "x\u22c5sin(x) - 1   1\n",
@@ -255,7 +250,6 b''
        ],
        "metadata": {},
        "output_type": "pyout",
-       "png": "iVBORw0KGgoAAAANSUhEUgAAADcAAAAVBAMAAAAQkWtIAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMnZUzRC73UTviSKZ\nZqszMyTAAAABLElEQVQoFZWRvUvDUBRHTzRpa2NFxdUSKl0qSBcFdcnUOZOgk4MIIkgGN5fgpqOr\nDiI66yQUEfInqIvgB1TBSYSoIH6g8b0kfYndvEPeeffc/Lgk8K8aTqbPk1PbSl835xPu649B+0yl\n7rTZbkN61hSmpFrbimZjMgdUp+Aq1OtoIxX7+IehncExS/SLPhiVx/W9CGfAZQUalvklZO4M5ri0\nVqFks+GwK+USfAuZr8MBh840dLvk30aRcgFehOzxwKEhCC3A2A99KRdTGZOUJ5TeM1LGoj1jgFh8\nCp4yUi403hVQjRaadFiWmUlssUXhNReYYqbXZ/PiyiuHD+XwbuKjFWUZ99XarQjXPfH4W2vq2lSk\n4EaR+EidlTtKOobdqUD9bDWVnTlNLtfwC1XgR6gJ3g8BAAAAAElFTkSuQmCC\n",
        "prompt_number": 10,
        "text": [
         "sin(x)"
@@ -280,7 +274,6 b''
        ],
        "metadata": {},
        "output_type": "pyout",
-       "png": "iVBORw0KGgoAAAANSUhEUgAAAMcAAAAWBAMAAACGSZV/AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nnlCvv+wOXivccChMyHVbD2/5D+LqohDLQZpLAAAAAElFTkSuQmCC\n",
        "prompt_number": 11,
        "text": [
         " 3      2              \n",
@@ -305,7 +298,6 b''
        ],
        "metadata": {},
        "output_type": "pyout",
-       "png": "iVBORw0KGgoAAAANSUhEUgAAAIwAAAAZBAMAAAARRdv9AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nYlw1phdFB7UYV40JiJ+I/xZj/sZ/avYbjdhWy3er6JMAAAAASUVORK5CYII=\n",
        "prompt_number": 12,
        "text": [
         "[-2, -2\u22c5\u2148, 2\u22c5\u2148]"
@@ -330,7 +322,6 b''
        ],
        "metadata": {},
        "output_type": "pyout",
-       "png": "iVBORw0KGgoAAAANSUhEUgAAAIMAAAA9BAMAAAB8c8dQAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\n",
        "prompt_number": 13,
        "text": [
         "  b              \n",
@@ -368,7 +359,6 b''
        ],
        "metadata": {},
        "output_type": "pyout",
-       "png": "iVBORw0KGgoAAAANSUhEUgAAAB0AAAAqBAMAAAC9wk0pAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEM3dMiK7mat272aJ\nRFQidGHIAAAAiUlEQVQoFWNgQAAmAQQbyGLNR+Ezpvej8BkY5g9ufsV6iw0oHhoQjpAxCKgwMPwH\ngQ+0dMOZOQ7IxgtdYFdA5uswsCUg8bm/InGATLYFqHx+lZO1yCLy2gxcD5AE5D8ysC9E4vMbMHD/\nReJzKTBw/0biA81HkecD6l+AJM+QwyD1AJnPU97CwAAAnlQjKf5L1GYAAAAASUVORK5CYII=\n",
        "prompt_number": 14,
        "text": [
         "-1/6"
@@ -392,7 +382,6 b''
        ],
        "metadata": {},
        "output_type": "pyout",
-       "png": "iVBORw0KGgoAAAANSUhEUgAAAM4AAAAwBAMAAACrqVieAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nL/nNVv6/x/8HW/gXypJ/ihwAAAAASUVORK5CYII=\n",
        "prompt_number": 15,
        "text": [
         "     2      4        \n",
@@ -419,7 +408,6 b''
        ],
        "metadata": {},
        "output_type": "pyout",
-       "png": "iVBORw0KGgoAAAANSUhEUgAAASoAAAA4BAMAAAC4fag4AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nfxAXF9fGMlsTAAAAAElFTkSuQmCC\n",
        "prompt_number": 16,
        "text": [
         "         \u239b 2\u239e    \u239b 2\u239e      2\u239b 2\u239e\n",
@@ -447,7 +435,6 b''
        ],
        "metadata": {},
        "output_type": "pyout",
-       "png": "iVBORw0KGgoAAAANSUhEUgAAAEwAAAAwBAMAAABJWYGiAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEM3dMiKZu6uJRO92\nVGZ6zyUAAAABVUlEQVQ4EY3SMUvDQBgG4C8mkVyTmODkpkRX6eAPsH9ACLhLprrWRTetuHRrBw24\ndXBx1UVwCYiTg4s4KQShuyKKupwXrq1Rr5f3W3LcPffe8eWIKivdDisNEYudBYCZsfUGMLdvfwGM\nyH+BmJlBLIXUTAKxUzoBnLX8uKVnt5zzd5fzZy1jhw8b17GWFItrdOQ1KpUALQf561bbRMKm8wBJ\nmw+DPhB3RW4PYLvk/GV2c6cB7Jwjhry+faJLmWbEmtRzoq481c80rB5CTCSsyl5q04hqn/KwCma2\nNGx2paglITalonGaeJSjGi6Jj9cuxiyKFs+iKCnGyronWzZsnKZiVkIewNaP0wO5XZtW5/wVYD8X\n+Z0mLqOuWl6eH3WzPKcY3wybrlgqTdlPEGNTEBtAzMggxghidxAzehDzO53uRVbqz8ShCzWEAoix\nvY984kn/Fr4Bq5lS2/Bs4I0AAAAASUVORK5CYII=\n",
        "prompt_number": 17,
        "text": [
         "      2\n",
@@ -476,7 +463,6 b''
        ],
        "metadata": {},
        "output_type": "display_data",
-       "png": "iVBORw0KGgoAAAANSUhEUgAAAL4AAAAvBAMAAACvYG1IAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\n70az7X2tO1K2hH8DDpT5LbY9x+oAAAAASUVORK5CYII=\n",
        "text": [
         "           2          \n",
         "          d           \n",
@@ -491,7 +477,6 b''
        ],
        "metadata": {},
        "output_type": "pyout",
-       "png": "iVBORw0KGgoAAAANSUhEUgAAAUMAAAAqBAMAAADbkSQSAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEJl2IquJVETdZu8y\nu83OyatpAAAFHklEQVRYCe1YXWgcVRT+JjuZ/ZvdDKkWRWuXYAWR4tbY+CCSoRQRQ0mtP0gtuG01\nGMV2tVoRkSwKBY1g1AYR0Q5WBItItHkoWu2itA8iZi0tiqLZ6kNV6Jo0bRM1NZ5z596Z2dmkGMnD\ngDkwc75z7v3O/fb+ZVog0pa1Ii2PxOmjUZeoHb036hKBzkWJC7DTF2dxASZxcS8uxCQuzuL/cha/\nkL/6vXn+esUTtPmSTScwWqocCFy44tCgI1DrdTb0imxvLksQcNpNd27UC17C3O9B5uk9DxdlYhZy\niOszGa0Dbu75RuU2KdDo7+orwv/qqTZ2uNFB/BrHy5vnPMi8NYj/qRJVBTwf4np5AU5Az6HPkcls\nfWMg0qYuATq8hI9UatlLhK61VVjnqXdnEX+onCJrqveFuIgVEJtEy4BkU+jaRdJ7Lj5GcNgLL/OQ\nAr9bhPpVVO+J11/S/lZJRY7nZeZCXKRtJA5geVX21YYk2CG954wBIEGPtGxRIembJhl85mf1Lz3s\n8vyFVmQlsYHrMRk8JyJvoXFStoYlpu4ZzMHIAVr7Hc9uhYCyq+u6hfzL3cC8ob267iy++vDz1XnK\nMA/I5sJkJbGOC+2qniKWtj8ArkK8LUzGT8CS1bd0UDk3BsIS0UKNGQdYinfzbwKpKvO21diIDWxn\nLWRmhV7LgAEcB07l9TMUMg9HXg6RASVRcbcctahjV9EcNncjkxdVgO8oZ/bS7yukXklWgfcpZmuQ\n2F0GkkVgM7Zbj1H1AdHNf+2hdjJzBTf0WyiwxO8BPsbMo7k8GCYriZJr2M1V6ldDfDpZgDktqgCv\nMhkPlQ3LGI/bwJMinkViHzWkS4CFU9zFHON3wA4JbLnak+evB0v8EZigPPPIPrZCZCVRcpO2SXOu\nnaauI/SjzokqwAFBTn+gIVthOCJiX+IMG8vppccdigdtlLiHs/GyK1HbNpNjiT/4EtcCozSuTzZq\ntV8/rdVyRJPcdEmfojPJXfpKwHlRRUjUbWToOPJmkxJpi70utxjnhNGA7oKZ09DU4e59jW2QO4gb\nsUnugLVITQUk8kLPWBh1aPV8MvUVQ/pcxMcDs3haVBEL3TKODO2YkTItojzh/iwKefzaTw9v+0di\nY1iljgs3SOsuENgsJe4ENgYkMu8Tmiw7RFYSFRdJ1lyjIukcElOiijgu6QqSZ+JWJ2Ikca7jotES\nwFiPxGRmTKcRm3IUB41vvUepgDhHT1k4xqssF5p42If4RJisJCque590ObjPPIhsQVQB7qcJcdCX\nf7E4iltpyDY57I7g8IQTtAR8dWu3r+rYRzBboledtR7fUKKEkLhr7zulwzO3HZ7Z9PRfJI+v7kTb\nylKYrCRCclM5rqht6LCxpuducBWK+ep+pu1bXNy+5EGH8C/0sIUlGhXO7uaXsC4Fwr7hNuIOPk90\nV2RPoiyyCy9IFHRJOxhBH5KhJ7F165WUejzrcMNb/BJGf2Bmt7iqEGz2eSKryAkn2AnmySe+rku4\nQSpXlzTyMnxeeu0jdNnAG5eKOENQmFaVIOz0q8+qEoEmjydyc5HT7vUW4LnwWF3mirqIguYhNFeA\nvTyV9H9QBIXVjymTczuP91/I/EkbsHrB1NBShcEnRRqfKLa3Xfev34onCPMl8w3iWcr2oATLK4jx\nfRNhS9Ms8pdAhM0YQ3YiwvpY2s/YGfFZRKr9iPjkj/RMNgdOdESFZtdHVJiUlRrGiB1tibET2m/R\nVkj/JFxZAv4ByMpfji3f9pUAAAAASUVORK5CYII=\n",
        "prompt_number": 18,
        "text": [
         "f(x) = C\u2081\u22c5sin(3\u22c5x) + C\u2082\u22c5cos(3\u22c5x) + 1/9"
@@ -620,9 +605,9 b''
       {
        "metadata": {},
        "output_type": "display_data",
-       "png": 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aFwc3U4ci9DTj7V6Ndq3vnzlS53Ojo6O5//77CQoK4vHHH2fEiBFUVVURFRV1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dlSs8c+gQW4KCitxlo+LoFflhSRy9I8xRLULcEUbZImUar85fzqVelwn7rgr/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\ngg==\n",
        "text": [
-        "<matplotlib.figure.Figure at 0x108046710>"
+        "<matplotlib.figure.Figure at 0x10797be10>"
        ]
       }
      ],
@@ -640,9 +625,9 b''
       {
        "metadata": {},
        "output_type": "display_data",
-       "png": 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7785ot3I6qt77EqpjMZgx6nU02o/G6bOzMGHdz9eaLVOp11S3z507Z1L1mNu2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\noGFhYcjPz8epU8Kbbd3YUgyXkAAUHjiJ3m8v4DscQgghOkKFlpbl5OT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j5C9DlYffn/LOqBo9QLdu3ejWrVuh740cObLQ9rx584w9TcXTvbs84dm33z40\nvh7g448hMVHD4mk+7Kp2hP6VjvG/1j5YV8A517N0OqadO8d6Pz+lo6jC1avQowfcvCn34r/6SulE\ngrmJuW4s2YkT8MQTcORIkbNJ5ebCs8/CP1od9t8cpufjlfjV37vCNfafnzvH4YwMVjZrpnQUi5ed\nDc88A7t2yc/pbdsmj+wV1EuftlM09JZuwgS5C7ZkSZEvp6VB+/Zw6LgOp+8P0zu4Mkt8m2JVQRr7\n67m5NN2zh90tW+Jlb690HLN5+umnSUtLM/o4167JC5zZ2Mh9BxXMECHcVa1aNbZs2fLQ90VDX4a0\nWm3BUCiTSkuTFypZswaCg4vcJTlZXv3nwjUdtRYdoldLe35s2kTvxt5s2cvAmydOkLJnD38NHqx0\nFIPpc/2DgoLYt2+fUedJToaLF8HKSv6VMtX7Ynp6OlVVPBW0WvIX9zsgZq8sD6pVg+nT5ZE4xfxl\n1q8vP+RS1daaq6/6ERV/mzdPnCBfxW+c+tiTlsaaa9cYXreu0lEs3rVrciMP4OlpukZeUAfR0JuI\nWXvEQ4bI0yL873/F7tKihfyyTa4NyYNbsOl0JsOOHdNrNI4ae/N5+fm8fuIEczw96dmpk9JxjGLu\n65+WBufOyf/fsCE4OZn2+GroDZdE7fn1IRp6NbCygi++kKezLGK45T2hobBwIZBpw5nnW3AwOYdB\nCQnkGDH00lLNS06mho0Ng2rXVjqKRcvKgtOn5Q+DdepArVpKJxKUIBp6EzH7WNxOnaBxY3nu+hKE\nhcFnn4GUac3x/s25fCOffkdKfqhKbeOIL2RnM+3cOb5v0gSNRqO6/A8yV/6cHHnglk4H1avLJT5z\nSE9PN+nxFixYwLh7q56U4M6dO/j4+HDtvnUcDGHq/JZINPRqMnu2vBLErVsl7vbZZzB0KGTdsubY\ngGZY3bGhx+HDZOTllVFQ89FJEkOPHeNtV1eaikJzsfLy4ORJeQiuoyM0alSwUqVFy8nJ4fPPP2fC\nhAmP3LdSpUoMGzaMmQ9MAig8TDT0JlImde4WLeQHqYpZ4OUejQZ+/FEeL30lxYoTQ31wtarCU3Fx\nXLxvCuR71FSj/+L8efIkiQ8bNiz4npryF8XU+fPz5fXms7KgcmX5g6CVGf+lm7LGvXbtWnx8fKir\n5w32gQMHsmzZMnJzcw0+p6jRC5Zn6lS5fPOIqZ7t7OSbs82bw/EEDYljmtCzek0eP3CA+NvqnM8+\n+tYtvr41mGoMAAAgAElEQVRwgV98KuYTwPqQJDh7FjIy5PnkvbzkMfPmlJSURL9+/ahduzY1a9Zk\n9OjRSJLEtGnTcHd3x8XFhaFDhxY8B5Cdnc3LL79MzZo1qV69Om3atOHq1asAREZG8tR9C9SuWrUK\nDw+PgvJKZGQkdevW5fr164A87Xn16tXZvXu3ef+QKicaehMpszqxq6u8OMmnnz5yVycneV60evXg\n320aTnzizmT3RnSMi2PrzZsF+6mhxn0rL49BCQn80KQJbpUrF3pNDflLYmx+jea/LysruQffujUE\nBMg9+vtff9RXael0Orp3706jRo04d+4cKSkpDBgwgCVLlrBs2TK0Wi1nzpwhIyODUaNGAbBs2TLS\n0tK4cOECN27cYMGCBVS++3d65MgRmjZtWnD8F198kSeeeIIxY8Zw/fp1Xn31VRYtWsRjjz1WsI+P\njw8HDx40+PqJGr1gmd5/X27BDx9+5K5ubvIYe0dHWLECjn9XhxW+vrwYH8/Ply6VQVjj6SSJlxMS\n6FajBv3EsBGLEhMTw6VLl/jiiy+oUqUKdnZ2tGvXjl9//ZXx48fj7u6Og4MDM2bMYOXKleh0Ouzs\n7Lh+/TonT55Eo9EQGBhYUD5JTU19qJQyf/58tmzZQseOHenVqxfdu3cv9HrVqlVJTU0tsz+zGomG\n3kTKtE7s5CQ39nr06kHu2f3xh/y4+4wZcGp1dbYGBPBZYiLjT53iyQ4dzBzYOBPPnCFDp+Obxo2L\nfL2i1+glSX4gau9e+ev6dfl7hnyVVlJSEu7u7lg9cBPg4sWLNLzvPkqDBg3Iy8vjypUrDB48mC5d\nujBgwADq16/P+++/T97dgQLVq1d/aKoHJycn+vfvz5EjRxg/fvxDGdLT06luxKylokYvWK7XX//v\nX7YeunT5b2Tmm2/CuW0O7GvViqO3bxN66BBXShifr6RvL1xg7bVrrPb1xdacdxRVLC0NEhPl/3dz\ngxo1yu7cbm5unD9/Ht0Dw3fr1atH4r1QwPnz57GxscHFxQUbGxs+/fRTjh49yq5du1i/fn3BmhUt\nWrTgxIkThY4VFxfHkiVLGDRoEKNHj34oQ0JCAv7+/qb/w5Uj4l+OiZR5nbhKFfjoI/jkE71/ZPhw\neXpjnQ5eeAESD9sS0aIFrgkJtNq/v1Dd3hIsu3SJL5KS+Mffn5p2dsXuV5Fr9BkZ8ggbSQIXF/mr\nLAUHB+Pi4sIHH3xAZmYm2dnZ7Ny5k4EDB/L111+TmJhIRkYGH374IQMGDMDKygqtVsvhw4fR6XRU\nrVoVW1tbrO/Orta9e3e2bdtWcPx7N25nzJjB4sWLSU5O5ocffih4PTk5mRs3btC2bVuD/wyiRi9Y\ntuHD5RUktm/X+0emTIGXX5ZnMOzRA5LOaRhety4/NW3KywkJfHD6tEU8Sbvo4kU+OnOGjS1a0PCB\nm6+CLDNTHiufny/34l1dyz6DlZUVq1at4tSpUzRo0AA3NzdWr17NsGHDGDx4MB06dMDDwwN7e3u+\n++47AC5dusTzzz+Pk5MTvr6+hISEMPjupHTPPvssx44d4+LdiXkmTpxIw4YNGTlyJHZ2dvzyyy98\n/PHHnD59GoDffvuNsLAwbG1ty/4PryJi9kq1W7pUnsJYq9V72ERODnTtClu3goeH/D5Rrx5czclh\n2PHjJN+5w09Nm9JSgdqlJElMP3+eH1NS2OjvTxPxUBTw8MyF2dnye3xuLjg7y3+P5aWytXDhQuLj\n4/n6669L3O/OnTsEBASwfft2atasWUbplGPM7JWioVe7vDx5sPx338mT3egpLU1+oGrfPvDxkReg\nqFVLbmiXXbrE+2fO8JKLC1Pc3XE090DsuzJ1Ot44cYJDt28T4edHvUqVyuS8anD/P/KcHDh2TP5v\n1aryWPny0sgLxRPTFFsAxerENjYwebJcry/FG2W1ahAVJb9HJCRo6dwZUlPlX5qwunU50ro113Nz\n8dm7l8UXLxq1Jq0+DmVk0PbAAXSSxI7AwFI18hWpRp+bK89fk5MDDg7mf+pVH2qvcas9vz4M/hW5\nceMGoaGhNGnShM6dOxc7jtXd3Z0WLVoQGBhImzZtDA4qlOD55+VpjNetK9WPPfYYbNwoT3YVFwfd\nusk39wBq2dmxzMeHVb6+LLt0iRb79vG/q1fRmfhT122djk/OnuWZgwcZ5+rKzz4+OIhlj4p0b/6a\n7Gz5XryXl1ghStCPwaWbCRMmULNmTSZMmMCsWbO4efNmkZMLNWrUiP3791PjEWO+ROnGSOHh8gic\n2NhSd/GSkuTlCM+dg44d5QesqlT573VJkvj7xg0mJSZyOTeXN+vVY3jdutQw4gZYpk7HoosXmXX+\nPB2cnZnt4YGruOlarFatgvj1131kZEClSvIKUeL+Y8WiSOkmPDycoUOHAjB06FD++uuvYvcVDXgZ\n6NlTbuBL2asHeez1pk1Qt658g7Z//8LT3ms0Gro+9hjRrVrxu68vR27fplF0NN0PHWJBSgrJRUyU\nVpTc/Hy0N28y6sQJ3HbvZvPNm/zVvDm/+fqKRr4EGRlw5Yr8Xzs7aNJENPJC6Rjco69evTo37467\nliSJGjVqFGzfz8PDAycnJ6ytrRk5ciQjRowoOojKe/QWse7qn3/Kyw7u3VuqiUvuZY+Phw4d5Ccr\ne/WC33+Xe49FuZWXR9SNG6y9do2/b9zAzsqKFg4O+Do44GRtjYO1NZWtrEjT6UjKziYhM5MDGRk0\nrVKFPjVrMrhOHZMNm7SIa2+EkvLfGwZ79GgQmzbto2lTef4aS6KWNVeLo5b8xvToSxxOERoayqUi\n5kP5/PPPHzqRppiGZefOndStW5erV68SGhqKt7c37du3L3LfsLAw3N3dAXB2diYgIKDgH8C9G1aW\nuh0XF6d8HmdnQu7cgagotHdrL6U93saNIXTqBOHhWkJCQKsNoVKlh/eP3bEDF+C3kBAkSWL1xo2c\nvnoV28BA0nQ69m3fTk5+Pj7t2tHcwQGv48d5z96eZ+/+3Wu1Ws4qfb0sfDs7G2bNCmHbNqhdOxtX\n13QqV5YbpHs3EO81UGK7/G9nZ2cD8u/G0qVLAQray0cxuEfv7e2NVqulTp06XLx4kY4dO3Ls2LES\nf2by5Mk4OjoWOV+F2nv0FmPlSpg7F3btMniliYMH5aGX16/LN2j//NPyepHlXWamXI3bskUuqdWq\nFcTBgw/35oSKQ5Eafa9evVi2bBkgTzvap0+fh/bJzMwseGe6ffs2//zzD35+foaeUtDH88/DzZuw\nebPBh/D3lxuYmjUhMhL69JEXsRDKRlqa/Aa7ZYu8zuuWLaImLxjH4Ib+gw8+YOPGjTRp0oQtW7bw\nwQcfAJCSkkKPHj0A+VHn9u3bExAQQHBwMM8++yydO3c2TXILYzFjua2t4cMP5QVK9FRU9hYt5Buz\ntWrB33/Lvct7Qy8tjcVcewPdn//6dfnT1L//yk8rb90qj7CxZKYeh/7bb7/x5Zdf8uKLL7Jy5UqD\njhEXF8e7776r174VYRy9wY881qhRg02bNj30/Xr16hEREQHIN2Lv1a6FMjRokDypzb//yndXDdS8\nuTyzwtNPyx8QnnlGngb/vjUfBBO6eFF+uPnoUXmN182b5f9WJKdOneL69euMHz+ea9eu4eXlRXBw\nMI1KcSG++uorduzYgZOTkxmTqot4MtZELGrUh40NTJyod6++pOy+vrBjB7i7Q0yM/L6RnGyamKZi\nUdfeACEhIZw7J1/bo0flKSm2b1dPI2/KEStHjx5l9uzZANSsWZPGjRuzf//+Uh3jnXfeoXfv3nrv\nr4YRN8Yqm0lMhLI3eLDc0O/eDY8/btShGjeGnTuhc2e5IWrXDv75Rx7PLRjv8GF5zfcLFyAwUC6V\nlbeFtM6cOcPChQuLfb1t27b07t2b7t27ExkZCcjDti9evEjjBxac8fPzY9myZbRs2bLY44mBHYWJ\nht5ELG4st50dvPsuzJoFJTzMBvplr1dPrgT16AHR0fDkk3IZJyjIhJkNZHHXvhQ2b4ZevbRkZobw\n5JPy827OzqU/jmayaRZLlz4rfQO5fft2Dh8+TEpKCkFBQeh0OiIiIli8eHHBPh4eHsyYMeORx7K1\ntaV58+YAREREEBQUREBAQKF9pk6dSpNH9DKKG+5dFLWMozeGaOjLs2HD5Fr9sWMmuaNXo4b8BG2/\nfnKPvkMH+O03eVSOUHo//ywvKZCbKz+N/PPPhg9jNaSBNpWrV6/i7e3Nxo0bmTZtGpIkMWHCBKOO\nmZqaytKlS/nll18eeq2oEX4PEj36wkRDbyIW2aO0t4e33oIvvoBFi4rdrTTZHRzkXufrr8vT4Pfr\nB7Nnw/jxBg/bN5pFXvsSSJL8APPHH8vb77wTwhdfKD8LpaH69evHxIkTCxYP2b17N61bty60j76l\nG5Ab6ZkzZ/LTTz/h6OjIuXPnCq0/q4/S9OjLe28eAMlCWFCU8uXaNUmqXl2SLlww6WHz8yVp+vT/\nlpV+7TVJyskx6SnKpawsSRo6VL5mGo0kzZ2r38+1atXKrLmMFRwcLKWmpkqSJEkjR46UNm3aJEVG\nRhp0rLlz50r79u2TLl68KO3Zs0fSarWFXv/zzz+ljIyMEo+xZMkSKSwszKDzW6rifgf0aTtV2oew\nPBY7lvuxx+Qbs3PnFruLIdk1Gnlgz++/y+WGH3+UV626etWIrAay2Gv/gHuzhC5bJn/Y+t//YMwY\n9eQvzuXLl3F2di4Yzujg4MCVK1ceOWNtUXbs2MG4ceNo3bo19erV4/HHH3/oZuyUKVMKlhIsyrx5\n81i8eDFarZbJkyeTlpZW4jkrwjh6i+lGW1AUg2zdulXpCMVLTJSkGjUk6ebNIl82Nvvu3ZJUu7bc\nS3V1laToaKMOV2oWfe3v0molqVYt+Ro1aiRJBw/+95o++S25R5+WlqZ0BKOoJb/o0VsAi64TN2wo\nj9/7v/8r8mVjs7dtC/v3y6M4L1yQe63ff1+qBa+MYsnXXpLg22+hUyf5005oqDy5aIsW/+1jyfn1\nofYat9rz60M09BXFhAlyi3N3BjxTc3WVn6IdPVoeRfLWW/Dyy5Y7bUJZuHZNHpH09tvy6lDvvSee\nLBaUIRp6E7H4OqufHwQEyGP4HmCq7HZ28nvJb7/JNejffpNPuWuXSQ5fLEu89ps3y7328HBwcpLv\nZcyeLT+0/CBLzF8aaq9xqz2/PkRDX5G8/z7MmQNmXuh74MD/yhOnT8ulnIkTC69aVV7l5MiXOTRU\nnrvmySflaZ+ff17pZEJFJhp6E1FFnbVDB6haVa4f3Mcc2X195blx7k5qysyZ0KYNHDpk8lNZzLXf\nswdatZJ77lZW8rNqW7fKt0hKYin5DaX2Grfa8+tDNPQViUYDY8fC11+XyekqVYIZM+SpEzw85J5t\nq1Zy43/7dplEKBMZGTBunHwz+sgR8PSU/8yffFJ0qUYQyppo6E1ENXXWF16Qp0Q4eLDgW+bO3q6d\nfLo33wSdTp5+x9dXnoLHFCNzlLr2kgS//AJNm8I338i9+AkT5EnKnnhC/+Oo5nenGGqvcas9vz5E\nQ1/R2NnJQ2K++aZMT+voCPPny5NpBgbC+fPQty+EhMglHrXZtUt+Axs8GFJSoHVr+c8xaxbcXa5X\nECyGwWvGmppYM7YMXb8uzz2ckCCvVVfG8vLkIf2TJslRQL5Z+fHHhceXW6L9++HTT/+7zeHiIt9/\nGDLEvHPVFLdeqFBxKLJmrKBijz0GL74IP/ygyOltbGDUKDh1Sh6hUqkSrF4tr1Xbu7d8U9OSSJK8\nbmuPHvK0zBs2yJ9QPvoITpyAsDD1TkgmyGJiYoiIiGCzEWstWzLx62kiqquzjh0rd6uzsxXL7uws\n94ZPnpQftKpcWR533ratXApZskS/RcnNlT8tDX76CVq2/G8ZxcqV5Wn+z5yBadOgWjXjz6O6350H\nqL3GnZ6ezvHjx+nRowfbt29XOo5ZGNzQr169mmbNmmFtbc2BAweK3S8qKgpvb2+8vLyYNWuWoacT\nTM3bWx4C8+uvSifBzU1+0CoxUe7hV68O+/bJ0+nXrQuvvCKvupSba/4s2dlygz5kiFzVGjEC4uKg\ndm15uGRSkjzrc3lbAaqiGzx4MMeOHaNVq1ZKRzEPQyfYSUhIkI4fPy6FhIRI+/fvL3KfvLw8ydPT\nUzp79qyUk5Mj+fv7S/Hx8QZPzCOY2D//SFKzZvKcwxYkM1OSliyRpNat/5sGGeTZlp9/XpIWLpSk\n06dNEzs/X5Li4yVpwQJJeu45SXJ0LHzOp56SpGXL5OmFlWTJk5qVBzqdTvrjjz+kzMxMpaMUy5hJ\nzQwe5eutx4pFMTExNG7cGHd3dwAGDBjA2rVr8fHxMfS0gil16iSPrd+0SX6U00JUqSLXvcPC5JGg\nq1bBypXy/69eLX+BfKuhVSu5tu/hIS+m7eYmTzlQrZp8nNxc+ev2bbh8Wf46f15e+zY+HmJj5Tlp\n7hcYKM9R8/LL8nGF8iUlJYWEhAQ2b96Mi4sLvr6+JCQkcPbsWbKysnj55ZeVjmh6xr7LlNSjX716\ntfTqq68WbP/888/SqFGjitzXBFEUpYapcov044/S1ieeUDqFXk6dkqTvv5ek3r0lqWbN+3veWwv1\nwkv7VbeuJL3wgiTNny/P6FzWxDTFRduzZ480ffp0kx83OTlZkiRJeu2116Ts7GzpZjHTdxsjNjZW\nGj9+vEmPabYefWhoKJcuXXro+9OnT6dnz56PfBMpzXJeAGFhYQW9f2dnZwICAgoeD793w8pSt+Pi\n4iwqj97bgwbBu++iXbkS6tRRPs8jtt94I4Q33oCtW7VcuQK2tiGsXw8XL2q5eBGyskJIT4ebN7Xc\nuQN2diHY2oKVlZYaNcDTM4T69aFSJS3u7jBwYAju7rBtm3z8hg0t6897bzs7O7vQItb3boCW1+1b\nt27x4Ycf0qFDB5Mf39HRkdOnT+Pk5MSdO3e4ffs21tbWpTrel19+yWuvvVbk61999RVarZZq992p\nN0X+7Lszz2q1WpYuXQpQ0F4+itHj6Dt27MiXX35Jy5YtH3otOjqaSZMmERUVBcCMGTOwsrLi/fff\nfziIGEevnPHj5TGP4ma5xapo4+hXrVpFUlISt2/f5rPPPjPpsSdMmECrVq04e/Ys3t7eei02/qDJ\nkyeXmGvZsmVotVqWLFliTNRCjBlHb5KZOIo7SVBQECdPniQxMZF69eqxatUqVqxYYYpTCqb0xhvy\nRC2TJonHOgWzKM3i4FevXsXa2ppatWpxu4hJkfz8/Fi2bFmRnUt9zJ4926CfKw1L67Qa3NCvWbOG\nMWPGcO3aNXr06EFgYCCRkZGkpKQwYsQIIiIisLGxYd68eXTp0gWdTsfw4cPL7Y1YrVar2lkItRcu\nENK6tXzXMyxM6TilpuZrD+rPv337dg4fPkxKSgpBQUHodDoiIiJYvHhxwT4eHh7MmDFDr+P9+eef\nvPbaayxfvrzI16dOnUqTJk1Mkh0oVBIzldKWrc3N4Ia+b9++9O3b96Hv16tXj4iIiILtbt260a1b\nN0NPI5SVUaPk6RaHDpVH4gjqYqq/MwN6olevXsXb25uNGzcybdo0JEliwoQJBp0+Ojqa4ODgEssR\njyq1zJ49m6xinrQbOnQoHnoOpdJoNOh0OgASEhIKvfHs2LGjoGYO0L59e7p3716wXW569EJhau6R\nhYSEyIuRjB4tzz/Qtq3SkUpFzdceTJRfwYalX79+TJw4kcGDBwOwe/duWrduXWgffUs3e/fuJTMz\nk7///pudO3eSlZVFeHg4vXr10jvPo95k8g1YeMfHx6fQJ5JH1ejLTY9eKGesrORZLefNU11DLyhv\n69atfHB3lZnly5czYsQIoqKi6Nq1K6B/6Wb06NEF/z9p0iQ0Gs1DjfyaNWvo3LkzDg4ORmU+efIk\nhw8f5vDhw/Ts2dPgmn9RLK1HL+a6MRE1z1dSkP2VVyAiQn6qSEXUfO1B/fkvX76Ms7MzTk5OADg4\nOHDlyhVq1Khh8DF///13wsPDCQ8PZ/W9J+TumjJlCqdPnzYqM8D69etxdXVlxIgRzJkzx+jj3TNv\n3jwWL16MVqtl8uTJpKWlmezYhhI9euE/1atD//7yTF4ffaR0GkEl7O3tC4ZQgzzG3FgvvPACL7zw\nQpGvxcbGGn18gHHjxgGwd+9eGjVqVKqfrVLC6LRRo0YxatQoo7KZmpiPXigsLg569oSzZ8U6eBak\noo2jL0uff/4548aNw97eXukoJRLz0QumExAArq4PLSAuCOVReHg4Y8aMITk5WekoZiUaehNRc531\noewjR8KCBYpkMYSarz2oP79a56Nfs2YNU6dOpXfv3vz+++9KxzEr8dlceNgLL8jTIpw/Dw0aKJ1G\nEMzi3rNA5nhgytKIGr1QtNGj5ZuzU6YonURA1OgFUaMXzGHkSFi0SF7JWxAEVRMNvYmouc5aZPbm\nzcHdHdavL+s4pabmaw/qz6/WGv09as+vD9HQC8VT2U1ZQRCKJmr0QvGysuS1+fbtk3v3gmJEjV4Q\nNXrBPKpUkRdOLWEyKkEQLJ9o6E1EzXXWErOPHAmLF8srbFsoNV97UH9+tde41Z5fH6KhF0rm4wNe\nXhAernQSQRAMJGr0wqP9/DOsWCGmRVCQqNELokYvmNdzz0F0NFy4oHQSQRAMYHBDv3r1apo1a4a1\ntTUHDhwodj93d3datGhBYGAgbdq0MfR0Fk/NddZHZre3l6dFWLasTPKUlpqvPag/v9pr3GrPrw+D\n57rx8/NjzZo1jBw5ssT9NBoNWq3WqEUIBAswfDgMGAATJ8qrUQmCiuzbt4/09HQ6duxo9LFiYmK4\nevUqlStX5plnnjFBOvMz+F+st7e33iuxV4Tau5rXLdUre1CQ3LP/91+z5yktNV97UH9+NUwIFhcX\nV+xasaXNf/z4cXr06MH27dtNEa1MmL1rptFo6NSpE0FBQSUuDixYOI1G7tUvWqR0EkEolePHj+Pp\n6Wmy4w0ePJhjx47RqlUrkx3T3Eps6ENDQ/Hz83voa926dXqfYOfOncTGxhIZGcn8+fNV9S5YGmqu\ns+qd/eWXYd06SE01a57SUvO1B/Xnt/Qad1JSErGxsZw8ebLI10ubPz8/n6NHj9KpUydTxCsTJdbo\nN27caPQJ6tatC0CtWrXo27cvMTExtG/fvsh9w8LCcL/7qL2zszMBAQEFH2vv/WOw1O24uDiLymO2\n7dBQWLkSrbe3ZeSpINvZ2dmF5k2/1ziJ7cLb6enpJCQkEBkZSa1atWjZsiWhoaHs3bsXnU7HPcYc\nLyEhgePHj3Pjxg1GjBhRZn++7OxsQP7dWLp0KUBBe/lIkpFCQkKkffv2Ffna7du3pbS0NEmSJCkj\nI0N64oknpL///rvIfU0QRSgLkZGSFBSkdIoKp1WrVkpHKDPp6enSJ598Iv3444/SnDlzpPz8fL1/\nNjk5WZIkSXrttdek7OxsKS8vz6gspj5eUWJjY6Xx48c/cr/ifgf0aTsNrtGvWbMGNzc3oqOj6dGj\nB926dQMgJSWFHj16AHDp0iXat29PQEAAwcHBPPvss3Tu3NnQUwqWIDQULl2CQ4eUTiKUU2PGjGH4\n8OGMGDGCxYsXc/78eb1/1tHRkcuXL1O7dm3u3LnD7du3jcpiiuPNnz+/2Ne++uorpkyZwvXr142J\n+UgGN/R9+/YlKSmJrKwsLl26RGRkJAD16tUjIiICAA8PD+Li4oiLi+PIkSNMnDjRNKktkJrrrKXK\nbm0NYWHy/DcWQs3XHtSf35Q1+jNnzpCSkkLDhg0B+Oeffwr+Xx/Tpk1Dq9Xi4ODAli1bqFat2iN/\npqT8hhzvQdeuXSv2tXfeeYfevXuX+pilJdaMFUrvlVcgOBhmzwY7O6XTCCpw5syZEkfdtW3blt69\ne7NlyxacnZ35+eefSU1NpWrVqoSFhRXa18/Pj2XLltGyZcuHjjN79myT5jb18YoilcHwc9HQm4ia\nx0KXOruHB/j6QkQE9O1rlkyloeZrD+rPf/LkSaKjo0lJSSEoKAidTkdERASL7/vU5+HhwYwZMx55\nrMuXL3PkyBFWrlwJQPv27WnXrh1eXl4F+0ydOlXvZ3j0ofRzABqNxuznEA29YJihQ2H5coto6AXQ\nmKj8IxnwpnPlyhW8vb3ZuHEj06ZNQ5IkJkyYYND5q1Wrhp+fX8F2gwYN+Oeffwo19H369Cn25630\nfGpbo9Gg0+mYPXs2WVlZRe4zdOhQPDw8SnU8gISEBJYvX17w2o4dOwpGzID85tW9e/eCbdGjVxGt\nVqvanplB2fv3h3fegWvXoGZNs+TSl5qvPZgmvyENtKm0a9eO6dOnM3jwYAB2795N69atC+2jb+mm\nWbNmhZ61sbKyKvaJ1qKUZl+ACRMmFBq2auzxAHx8fAp9epk8eTKfffZZsfuLHr1guapVgx49YOVK\nGDVK6TSCwrZu3coHH3wAwPLlyxkxYgRRUVF07doV0L90065dOz788MOC7dOnTzNp0qRC+6xZs4bO\nnTvj4ODw0M+fPHmSw4cPc/jwYXr27FlQx3/nnXf46quvDP3jFXtcUyiLHr2YncpE1NyjNDj7kCEW\nMaOlmq89qD+/tbU1zs7OODk5AeDg4MCVK1cMmsiwUqVKTJo0iU8//ZSPP/6Yt95666HpC6ZMmcLp\n06eL/Pn169fj6urKO++8w5w5cwD5zeLgwYPFnlOfGn1RxzWFefPmsXjxYrRaLZMnTyYtLc1kx76f\n6NELhuvUCYYNg/h4+easUCHZ29sTFRVVsP3ll18adbyuXbsWfBIoSmxsbLGvjRs3DoD4+HgaNWoE\nwLlz52jQoIFRmYo6rr6qVKlS7GujRo1iVBl8IhY9ehNR81hog7NbW8NLL8k3ZRWk5msP6s9vaXPd\nSJLEmjVr+PDDD4mOjn7kOhilyb9mzRo++uijUuUx9Ma0KYmGXjDOkCHwyy9w3zwigqCkdevWMWbM\nGKJMSvUAAAeISURBVJKTk0lMTGTz5s2cP3+erVu3GnXc8PDwguOqjWjoTUTNdVajsjdvDi4usGWL\nyfKUlpqvPag/v9Lj0O+3Zs0apk6dSr9+/Vi9ejUDBgzAz8+PO3fuFBrieD998t9/3N9//93Usc1O\nLA4uGO/bbyEmRu7ZC2YhFgcXxOLgFkDNdVajsw8cCOvXg0K1WjVfe1B/fkur0ZeW2vPrQzT0gvFq\n1YKnnoI//lA6iSAIRRClG8E0Vq+GBQtg0yalk5RLonQjiNKNoLxnn4X9+yElRekkgiA8QDT0JqLm\nOqtJslepAn36yFMilDE1X3tQf36117jVnl8foqEXTOell+DXX5VOIQjCA0SNXjAdnQ7c3OQx9XcX\nDxdMQ9ToBWNq9GKuG8F0rK1hwAD47TeYMkXpNOVKtWrVCAoKUjqGoCBDljEs8Mjlw4vx7rvvSt7e\n3lKLFi2kvn37SqmpqUXuFxkZKTVt2lRq3LixNHPmzGKPZ0QUi7B161alIxjMpNn37ZMkDw9Jys83\n3TEfQc3XXpJEfqWpPb8+bafBNfrOnTtz9OhRDh48SJMmTYqca1qn0zFq1CiioqKIj49nxYoVJCQk\nGP6uZMHi4uKUjmAwk2Zv2RJsbWHPHtMd8xHUfO1B5Fea2vPrw+CGPjQ0tGDZruDgYC5cuPDQPjEx\nMTRu3Bh3d3dsbW0ZMGAAa9euNTytBUtNTVU6gsFMml2jKfObsmq+9iDyK03t+fVhklE3ixcvLrQG\n4j3Jycm4ubkVbLu6uqpy5jehlAYNgt9/h9xcpZMIgsAjbsaGhoZy6dKlh74/ffp0evbsCcDnn3+O\nnZ0dgwYNemi/slgL0VIkJiYqHcFgJs/u6QkeHvJTst26mfbYRVDztQeRX2lqz68XY24CLFmyRHri\niSekrKysIl/fvXu31KVLl4Lt6dOnF3tD1tPTUwLEl/gSX+JLfJXiy9PT85FttcHj6KOiohg/fjzb\ntm2jZs2aRe6Tl5dH06ZN2bx5M/Xq1aNNmzasWLECHx8fQ04pCIIgGMDgGv3o0aPJyMggNDSUwMBA\n3nzzTQBSUlLo0aMHADY2NsybN48uXbrg6+vLiy++KBp5QRCEMmYxT8YKgiAI5qH4XDdRUVF4e3vj\n5eXFrFmzlI5TKsOGDcPFxQU/Pz+loxgkKSmJjh070qxZM5o3b863336rdKRSyc7OJjg4mICAAHx9\nfZk4caLSkUpNp9MRGBhYMLhBbdzd3WnRogWBgYGPXITb0qSmptK/f398fHzw9fUlOjpa6Uh6O378\nOIGBgQVfTk5OJf/7Lf0tWNPJy8uTPD09pbNnz0o5OTmSv7+/FB8fr2SkUvn333+lAwcOSM2bN1c6\nikEuXrwoxcbGSpIkSenp6VKTJk1Udf0lSZJu374tSZIk5ebmSsHBwdL27dsVTlQ6X375pTRo0CCp\nZ8+eSkcxiLu7u3T9+nWlYxhkyJAh0qJFiyRJkn9/inu639LpdDqpTp060vnz54vdR9EevdofqGrf\nvj3Vq1dXOobB6tSpQ0BAAACOjo74+PiQorL55O3t7QHIyclBp9NRo0YNhRPp78KFC2zYsIFXX31V\n1RP6qTH7rVu32L59O8OGDQPk+4lOTk4KpzLMpk2b8PT0LPTM0oMUbejFA1WWIzExkdjYWIKDg5WO\nUir5+fkEBATg4uJCx44d8fX1VTqS3saNG8cXX3xR8IS5Gmk0Gjp16kRQUBALFy5UOo7ezp49S61a\ntXjllVdo2bIlI0aMIDMzU+lYBlm5cmWRzzHdT9HfsIr0QJUly8jIoH///sydOxdHR0el45SKlZUV\ncXFxXLhwgX///Vc1i3isX7+e2rVrExgYqMoe8T07d+4kNjaWyMhI5s+fz/bt25WOpJe8vDwOHDjA\nm2++yYEDB3BwcGDmzJlKxyq1nJwc1q1bx/PPP1/ifoo29PXr1ycpKalgOykpCVdXVwUTVTy5ubk8\n99xzvPzyy/Tp00fpOAZzcnKiR48eqpmzfdeuXYSHh9OoUSMGDhzIli1bGDJkiNKxSq1u3boA1KpV\ni759+xITE6NwIv24urri6upK69atAejfvz8HDhxQOFXpRUZG0qpVK2rVqlXifoo29EFBQZw8eZLE\nxERycnJYtWoVvXr1UjJShSJJEsOHD8fX15exY8cqHafUrl27VjAhVVZWFhs3biQwMFDhVPqZPn06\nSUlJnD17lpUrV/L000+zfPlypWOVSmZmZsEyfLdv3+aff/5RzQi0OnXq4ObmxokTJwC5zt2sWTOF\nU5XeihUrGDhw4CP3U3ThkfsfqNLpdAwfPlxVD1QNHDiQbdu2cf36ddzc3JgyZQqvvPKK0rH0tnPn\nTn755ZeC4XEAM2bMoGvXrgon08/FixcZOnQo+fn55OfnM3jwYJ555hmlYxlEjWXMy5cv07dvX0Au\nhbz00kt07txZ4VT6++6773jppZfIycnB09OTJUuWKB2pVG7fvs2mTZv0ujciHpgSBEEo59R7u18Q\nBEHQi2joBUEQyjnR0AuCIJRzoqEXBEEo50RDLwiCUM6Jhl4QBKGcEw29IAhCOScaekEQhHLu/wGT\ntYbY1r+2UgAAAABJRU5ErkJggg==\n",
        "text": [
-        "<matplotlib.figure.Figure at 0x107e1a050>"
+        "<matplotlib.figure.Figure at 0x10984b250>"
        ]
       }
      ],
@@ -670,9 +655,9 b''
       {
        "metadata": {},
        "output_type": "display_data",
-       "png": 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plCAI+L9NxQCAywbFIiH0xLuIl9QU4O2fn8T9F/0HcRHdZWmLq9mGnLlvYvvt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\nDBs2bEBNTc0j3z906BC++eYbm85VVVWFkydP4uOPP+Z9E83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FixfZtWuXYRqOHoVz56BJE6heXf9x6enp+Pn5eU+Yl5FFf3h4uMvHqghFoVAo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\nQqFQSIoycIVCoZCU/wdDeJclXk9EegAAAABJRU5ErkJggg==\n",
        "text": [
-        "<matplotlib.figure.Figure at 0x107e4a810>"
+        "<matplotlib.figure.Figure at 0x109a2a8d0>"
        ]
       }
      ],

examples/Notebook/Examples/Trapezoid Rule.ipynb

@@ -1,6 +1,7 b''
 {
  "metadata": {
-  "name": ""
+  "name": "",
+  "signature": "sha256:cbf49a9ceac0258773ae0a652e9ac7c13e0d042debbf0115cdc081862b5f7308"
  },
  "nbformat": 3,
  "nbformat_minor": 0,
@@ -98,9 +99,9 b''
       {
        "metadata": {},
        "output_type": "display_data",
-       "png": 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a5flQlpd6r/J8g9K81CnO0caybbrj0B6zaY+m7vnXHkv9d2gOQ7KfzbEiJ8xw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\nakRGhwMHDgCp3aPh8tJLL5GXl8e+fft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Mmer24sUNg72mz963b18JdiFEmzFpDdXKykqOHTvG3//+d4YPH878+fOva8Ho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\nCCE6IAl3IYTogP4/oENi/a9Z/A8AAAAASUVORK5CYII=\n",
        "text": [
-        "<matplotlib.figure.Figure at 0x1109fec90>"
+        "<matplotlib.figure.Figure at 0x107d67b90>"
        ]
       }
      ],