{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Hello World"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Welcome to Jupyter Notebook!\n"
     ]
    }
   ],
   "source": [
    "print('Welcome to Jupyter Notebook!')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Individual code or Markdown blocks are called cells. If there is any, the output from executing a cell is printed below it.\n",
    "\n",
    "### Snippet to check for prime numbers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "nums = [13, 137, 1347]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "13 is a prime number\n",
      "\n",
      "137 is a prime number\n",
      "\n",
      "1347 is not a prime number\n",
      "3 times 449 is 1347 \n",
      "\n"
     ]
    }
   ],
   "source": [
    "for num in nums:\n",
    "    # prime numbers are greater than 1\n",
    "    if num > 1:\n",
    "       for i in range(2,num):\n",
    "           if (num % i) == 0:\n",
    "               print(num,\"is not a prime number\")\n",
    "               print(i,\"times\",num//i,\"is\",num, \"\\n\")\n",
    "               break\n",
    "       else:\n",
    "           print(num,\"is a prime number\\n\")\n",
    "\n",
    "    else:\n",
    "       print(num,\"is not a prime number\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### A note about state\n",
    "Variables will maintain their values throughout a notebook session. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the nums array is:  [13, 137, 1347]\n"
     ]
    }
   ],
   "source": [
    "print(\"the nums array is: \", nums)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "But, be careful. If we were to reassign the nums array and run the prime number cell it will use the new value \"one two three\" and throw a TypeError. For this reason, the numbers in brackets next to a code cell exist to indicate the order in which they executed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "TypeError",
     "evalue": "unorderable types: str() > int()",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-53-5da4b71aaa64>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mnum\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mnums\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      2\u001b[0m     \u001b[0;31m# prime numbers are greater than 1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m     \u001b[0;32mif\u001b[0m \u001b[0mnum\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      4\u001b[0m        \u001b[0;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mnum\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      5\u001b[0m            \u001b[0;32mif\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mnum\u001b[0m \u001b[0;34m%\u001b[0m \u001b[0mi\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mTypeError\u001b[0m: unorderable types: str() > int()"
     ]
    }
   ],
   "source": [
    "nums = \"one two three\"\n",
    "\n",
    "# If I now reran the prime number cell, this is what would happen:\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Importing libraries\n",
    "\n",
    "It's also possible to import and use your favorite python libraries. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from IPython.display import Image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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OXuHl+CibHkcE+a2X5PTI1yaDGv0m/wB6r29S6TUNcqmB2YQ7/qNyA5snaEj9Cn7sBvIB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\ncGxlLnByaW50LlB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0oqduNp4NMz5cR5D7fuNlkI6gdF5dbb4d7JPL5v5PEyKLjWYFwWdivTNcfLjblvwM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\nVz7HYYgPKLArq4V3HjxL26H8lz2bj6D4x2i4P5LhXSO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Yi5SoZtYYO77lJJDKRDOpi7ka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Me22MXMI7ROyxbI1JVPZnVF4xoHPaLBcp2S+JG7rZ81AsnkVCVttnGLaVgbldpLr5rlcXxF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\n403xjxMTDfoR1WbpdSbSq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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 15,
     "metadata": {
      "image/jpeg": {
       "width": "50%"
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(\"images/jupiter.jpg\", width=\"50%\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd, numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.441549</td>\n",
       "      <td>0.089738</td>\n",
       "      <td>1.744346</td>\n",
       "      <td>2.258575</td>\n",
       "      <td>0.426664</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.553689</td>\n",
       "      <td>-0.275493</td>\n",
       "      <td>-0.510059</td>\n",
       "      <td>1.242461</td>\n",
       "      <td>2.455822</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.840024</td>\n",
       "      <td>1.177655</td>\n",
       "      <td>-1.655240</td>\n",
       "      <td>-0.741060</td>\n",
       "      <td>0.592697</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.627262</td>\n",
       "      <td>-0.755453</td>\n",
       "      <td>-1.440758</td>\n",
       "      <td>-0.674110</td>\n",
       "      <td>-1.067317</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-1.105372</td>\n",
       "      <td>0.625164</td>\n",
       "      <td>-0.071721</td>\n",
       "      <td>0.481504</td>\n",
       "      <td>0.236426</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.509087</td>\n",
       "      <td>0.231790</td>\n",
       "      <td>-1.800046</td>\n",
       "      <td>-1.122785</td>\n",
       "      <td>1.039416</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.512036</td>\n",
       "      <td>-0.227839</td>\n",
       "      <td>-0.929626</td>\n",
       "      <td>0.899213</td>\n",
       "      <td>0.116162</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.222015</td>\n",
       "      <td>0.638809</td>\n",
       "      <td>0.362991</td>\n",
       "      <td>-1.449985</td>\n",
       "      <td>1.138178</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>-1.413669</td>\n",
       "      <td>-1.734242</td>\n",
       "      <td>-0.931476</td>\n",
       "      <td>-2.319323</td>\n",
       "      <td>0.764478</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>-0.291182</td>\n",
       "      <td>0.501667</td>\n",
       "      <td>-1.191091</td>\n",
       "      <td>-0.822639</td>\n",
       "      <td>-0.659891</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          0         1         2         3         4\n",
       "0  0.441549  0.089738  1.744346  2.258575  0.426664\n",
       "1  0.553689 -0.275493 -0.510059  1.242461  2.455822\n",
       "2  0.840024  1.177655 -1.655240 -0.741060  0.592697\n",
       "3 -0.627262 -0.755453 -1.440758 -0.674110 -1.067317\n",
       "4 -1.105372  0.625164 -0.071721  0.481504  0.236426\n",
       "5  0.509087  0.231790 -1.800046 -1.122785  1.039416\n",
       "6  0.512036 -0.227839 -0.929626  0.899213  0.116162\n",
       "7  0.222015  0.638809  0.362991 -1.449985  1.138178\n",
       "8 -1.413669 -1.734242 -0.931476 -2.319323  0.764478\n",
       "9 -0.291182  0.501667 -1.191091 -0.822639 -0.659891"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.DataFrame(np.random.randn(10,5))\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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JKauiooLXN75B+KxIVt6zCvMVknTN7x/efFApdDodRpORWUtnk5afzt73dvO7V3/Hj7//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Nz/rdFNJiMPLBhH2rgG3n9rB6+/4WL90z/o934IBoOBZUuXMWP6DE6cOEHZ1TJcbjeRMWMoWDSJ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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1069a60b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "N = 50\n",
    "x = np.random.rand(N)\n",
    "y = np.random.rand(N)\n",
    "colors = np.random.rand(N)\n",
    "area = np.pi * (15 * np.random.rand(N))**2\n",
    "plt.scatter(x, y, s=area, c=colors, alpha=0.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [conda root]",
   "language": "python",
   "name": "conda-root-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}