From 44ed5d834b689a5b8e85908260f8049706e66472 Mon Sep 17 00:00:00 2001 From: Daniel Newell Date: Tue, 27 Jan 2015 23:00:07 -0500 Subject: [PATCH 1/3] Daniel Newell HW --- Charting Coin Flips.ipynb | 536 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 536 insertions(+) create mode 100644 Charting Coin Flips.ipynb diff --git a/Charting Coin Flips.ipynb b/Charting Coin Flips.ipynb new file mode 100644 index 0000000..71fbd60 --- /dev/null +++ b/Charting Coin Flips.ipynb @@ -0,0 +1,536 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:9103d7cde4d647000d437587a645a02d7cdb04c7a5c50955f810712bc4aab7cb" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Charting Coin Flips" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import random\n", + "import math\n", + "import statistics as st\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sb" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 41 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "%matplotlib inline\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 42 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def flip_coin():\n", + " \"\"\"Flips a coin\"\"\"\n", + " if random.randint(1,2) == 1:\n", + " return \"H\"\n", + " else: \n", + " return \"T\"" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 43 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 43 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "final = []\n", + "heads = []\n", + "tails = []\n", + "ratios = []\n", + "logs = [] \n", + "differences = []\n", + "\n", + "def reset_vars():\n", + " final = []\n", + " heads = []\n", + " tails = []\n", + " ratios = []\n", + " logs = []\n", + " \n", + "def repeat_coin_flip(n = 100000): \n", + " ratios1 = []\n", + " \n", + " \n", + " log = 0\n", + " count = 0\n", + " head = 0\n", + " tail = 0\n", + " for _ in range(1,n):\n", + " coin_flip = flip_coin()\n", + " if coin_flip == \"H\":\n", + " head += 1\n", + " else:\n", + " tail +=1\n", + " if count == 2**log:\n", + " log += 1\n", + " logs.append(count)\n", + " heads.append(head)\n", + " tails.append(tail)\n", + " differences.append(abs(head-tail))\n", + " if head == 0 or tail == 0:\n", + " ratios.append(0)\n", + " ratios1.append(0)\n", + " else: \n", + " ratios.append(head/tail)\n", + " ratios1.append(head/tail)\n", + " count += 1\n", + " if count == n:\n", + " final.append(head,tail)\n", + " \n", + " return ratios1\n", + " \n", + " \n", + "repeat_coin_flip()\n", + "plt.plot(logs, differences)\n", + " \n", + " " + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 57, + "text": [ + "[]" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 60 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The plots basically represent the same thing, just points dont have the visual aid of a line. If I plotted every single point and then viewed on a log scale it would give me a clearer picture...\n" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "reset_vars()\n", + "twenty_ratio = []\n", + "for _ in range(20):\n", + " twenty_ratio.append(repeat_coin_flip()) " + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 61 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "zipped_list = list(zip(*(twenty_ratio)))" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 62 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "357\n" + ] + } + ], + "prompt_number": 64 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "means = []\n", + "for item in zipped_list:\n", + " means.append(st.mean(item))\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 66 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "logs = []\n", + "repeat_coin_fl ip()\n", + "plt.plot(logs,means)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 68, + "text": [ + "[]" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 68 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The ratios are much more uniform when averaging them" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "stdevs = []\n", + "for items in zipped_list:\n", + " stdevs.append(st.pstdev(items))\n", + " " + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 69 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plt.plot(logs,stdevs)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 71, + "text": [ + "[]" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 71 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The stdev drops way off as they become more uniform and average. " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "hundred_ratio = []\n", + "for _ in range(100):\n", + " hundred_ratio.append(repeat_coin_flip()) " + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 82 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "zipped_list2 = list(zip(*(hundred_ratio)))\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 83 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "hiters = []\n", + "\n", + "for item in zipped_list2:\n", + " hiters.append(st.mean(item)) \n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 84 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "logs = []\n", + "repeat_coin_flip()\n", + "\n", + "plt.plot(logs, hiters)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 85, + "text": [ + "[]" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 85 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With this many iterations it's even straighter, " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sdevhitters =[]\n", + "logs = []\n", + "repeat_coin_flip()\n", + "for item in zipped_list2:\n", + " hiters.append(st.pstdev(item)) " + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 91 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plt.plot(logs, sdevhitters)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "ename": "ValueError", + "evalue": "x and y must have same first dimension", + "output_type": "pyerr", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlogs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msdevhitters\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m/Users/Daniel/.pyenv/versions/charting/lib/python3.4/site-packages/matplotlib/pyplot.py\u001b[0m in \u001b[0;36mplot\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m 3097\u001b[0m \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mhold\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mhold\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3098\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 3099\u001b[0;31m \u001b[0mret\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3100\u001b[0m \u001b[0mdraw_if_interactive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3101\u001b[0m \u001b[0;32mfinally\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/Users/Daniel/.pyenv/versions/charting/lib/python3.4/site-packages/matplotlib/axes/_axes.py\u001b[0m in \u001b[0;36mplot\u001b[0;34m(self, *args, **kwargs)\u001b[0m\n\u001b[1;32m 1372\u001b[0m \u001b[0mlines\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1373\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1374\u001b[0;31m \u001b[0;32mfor\u001b[0m \u001b[0mline\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_get_lines\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1375\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0madd_line\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mline\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1376\u001b[0m \u001b[0mlines\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mline\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/Users/Daniel/.pyenv/versions/charting/lib/python3.4/site-packages/matplotlib/axes/_base.py\u001b[0m in \u001b[0;36m_grab_next_args\u001b[0;34m(self, *args, **kwargs)\u001b[0m\n\u001b[1;32m 301\u001b[0m \u001b[0;32mreturn\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 302\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mremaining\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m<=\u001b[0m \u001b[0;36m3\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 303\u001b[0;31m \u001b[0;32mfor\u001b[0m \u001b[0mseg\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_plot_args\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mremaining\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 304\u001b[0m \u001b[0;32myield\u001b[0m \u001b[0mseg\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 305\u001b[0m \u001b[0;32mreturn\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/Users/Daniel/.pyenv/versions/charting/lib/python3.4/site-packages/matplotlib/axes/_base.py\u001b[0m in \u001b[0;36m_plot_args\u001b[0;34m(self, tup, kwargs)\u001b[0m\n\u001b[1;32m 279\u001b[0m \u001b[0mx\u001b[0m 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\u001b[0;34m'plot'\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/Users/Daniel/.pyenv/versions/charting/lib/python3.4/site-packages/matplotlib/axes/_base.py\u001b[0m in \u001b[0;36m_xy_from_xy\u001b[0;34m(self, x, y)\u001b[0m\n\u001b[1;32m 221\u001b[0m \u001b[0my\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0matleast_1d\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 222\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m!=\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 223\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"x and y must have same first dimension\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 224\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndim\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m2\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndim\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 225\u001b[0m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"x and y can be no greater than 2-D\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mValueError\u001b[0m: x and y must have same first dimension" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 92 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 92 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + } + ], + "metadata": {} + } + ] +} \ No newline at end of file From aad7552504ff46a60c896b4b138fa3164e76bb57 Mon Sep 17 00:00:00 2001 From: Daniel Newell Date: Wed, 28 Jan 2015 07:57:07 -0500 Subject: [PATCH 2/3] Made a few more graphs --- Charting Coin Flips.ipynb | 197 ++++++++++++++++++++++---------------- 1 file changed, 117 insertions(+), 80 deletions(-) diff --git a/Charting Coin Flips.ipynb b/Charting Coin Flips.ipynb index 71fbd60..0de1439 100644 --- a/Charting Coin Flips.ipynb +++ b/Charting Coin Flips.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:9103d7cde4d647000d437587a645a02d7cdb04c7a5c50955f810712bc4aab7cb" + "signature": "sha256:3cad7d951fe76d85628af6d5b799ee27844f529e78f0c50d2d58f862c7f4647b" }, "nbformat": 3, "nbformat_minor": 0, @@ -29,7 +29,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 41 + "prompt_number": 8 }, { "cell_type": "code", @@ -40,7 +40,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 42 + "prompt_number": 9 }, { "cell_type": "code", @@ -56,7 +56,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 43 + "prompt_number": 10 }, { "cell_type": "code", @@ -65,7 +65,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 43 + "prompt_number": 10 }, { "cell_type": "code", @@ -130,21 +130,21 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 57, + "prompt_number": 11, "text": [ - "[]" + "[]" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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"text": [ - "" + "" ] } ], - "prompt_number": 58 + "prompt_number": 12 }, { "cell_type": "code", @@ -186,21 +186,21 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 59, + "prompt_number": 13, "text": [ - "" + "" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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"text": [ - "" + "" ] } ], - "prompt_number": 59 + "prompt_number": 13 }, { "cell_type": "code", @@ -214,21 +214,21 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 60, + "prompt_number": 14, "text": [ - "" + "" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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"text": [ - "" + "" ] } ], - "prompt_number": 60 + "prompt_number": 14 }, { "cell_type": "markdown", @@ -249,7 +249,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 61 + "prompt_number": 15 }, { "cell_type": "code", @@ -260,7 +260,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 62 + "prompt_number": 16 }, { "cell_type": "code", @@ -268,16 +268,8 @@ "input": [], "language": "python", "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "357\n" - ] - } - ], - "prompt_number": 64 + "outputs": [], + "prompt_number": 16 }, { "cell_type": "code", @@ -290,14 +282,14 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 66 + "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "logs = []\n", - "repeat_coin_fl ip()\n", + "repeat_coin_flip()\n", "plt.plot(logs,means)\n" ], "language": "python", @@ -306,21 +298,21 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 68, + "prompt_number": 21, "text": [ - "[]" + "[]" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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"text": [ - "" + "" ] } ], - "prompt_number": 85 + "prompt_number": 27 }, { "cell_type": "markdown", @@ -468,49 +461,93 @@ "input": [ "sdevhitters =[]\n", "logs = []\n", - "repeat_coin_flip()\n", - "for item in zipped_list2:\n", - " hiters.append(st.pstdev(item)) " + "hundred_ratios = []\n", + "for _ in range(100):\n", + " hundred_ratio.append(repeat_coin_flip()) \n", + "zipped_list2 = list(zip(*(hundred_ratio)))\n" ], "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 91 + "prompt_number": 51 }, { "cell_type": "code", "collapsed": false, "input": [ - "plt.plot(logs, sdevhitters)" + "#plt.plot(logs, sdevhitters)\n", + "for items in zipped_list2:\n", + " sdevhitters.append(st.stdev(items))" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 52 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "logs = []\n", + "repeat_coin_flip()" ], "language": "python", "metadata": {}, "outputs": [ { - "ename": "ValueError", - "evalue": "x and y must have same first dimension", - "output_type": "pyerr", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlogs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msdevhitters\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;32m/Users/Daniel/.pyenv/versions/charting/lib/python3.4/site-packages/matplotlib/pyplot.py\u001b[0m in \u001b[0;36mplot\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m 3097\u001b[0m \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mhold\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mhold\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3098\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 3099\u001b[0;31m \u001b[0mret\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3100\u001b[0m \u001b[0mdraw_if_interactive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3101\u001b[0m \u001b[0;32mfinally\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/Users/Daniel/.pyenv/versions/charting/lib/python3.4/site-packages/matplotlib/axes/_axes.py\u001b[0m in \u001b[0;36mplot\u001b[0;34m(self, *args, **kwargs)\u001b[0m\n\u001b[1;32m 1372\u001b[0m \u001b[0mlines\u001b[0m \u001b[0;34m=\u001b[0m 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"\u001b[0;32m/Users/Daniel/.pyenv/versions/charting/lib/python3.4/site-packages/matplotlib/axes/_base.py\u001b[0m in \u001b[0;36m_grab_next_args\u001b[0;34m(self, *args, **kwargs)\u001b[0m\n\u001b[1;32m 301\u001b[0m \u001b[0;32mreturn\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 302\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mremaining\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m<=\u001b[0m \u001b[0;36m3\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 303\u001b[0;31m \u001b[0;32mfor\u001b[0m \u001b[0mseg\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_plot_args\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mremaining\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 304\u001b[0m \u001b[0;32myield\u001b[0m \u001b[0mseg\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 305\u001b[0m \u001b[0;32mreturn\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/Users/Daniel/.pyenv/versions/charting/lib/python3.4/site-packages/matplotlib/axes/_base.py\u001b[0m in \u001b[0;36m_plot_args\u001b[0;34m(self, tup, kwargs)\u001b[0m\n\u001b[1;32m 279\u001b[0m \u001b[0mx\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdtype\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mfloat\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 280\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 281\u001b[0;31m \u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_xy_from_xy\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 282\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 283\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcommand\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;34m'plot'\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/Users/Daniel/.pyenv/versions/charting/lib/python3.4/site-packages/matplotlib/axes/_base.py\u001b[0m in \u001b[0;36m_xy_from_xy\u001b[0;34m(self, x, y)\u001b[0m\n\u001b[1;32m 221\u001b[0m \u001b[0my\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0matleast_1d\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 222\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m!=\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 223\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"x and y must have same first dimension\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 224\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndim\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m2\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndim\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 225\u001b[0m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"x and y can be no greater than 2-D\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mValueError\u001b[0m: x and y must have same first dimension" + "metadata": {}, + "output_type": "pyout", + "prompt_number": 53, + "text": [ + "[1.0,\n", + " 2.0,\n", + " 1.5,\n", + " 1.25,\n", + " 1.4285714285714286,\n", + " 0.9411764705882353,\n", + " 0.7567567567567568,\n", + " 1.0806451612903225,\n", + " 1.089430894308943,\n", + " 1.052,\n", + " 1.00587084148728,\n", + " 1.0207100591715976,\n", + " 0.9907677356656949,\n", + " 1.0056303549571604,\n", + " 0.9950079142822355,\n", + " 1.0074123989218329,\n", + " 1.0063370580131639]" + ] + } + ], + "prompt_number": 53 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plt.plot(logs,sdevhitters,)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 54, + "text": [ + 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"text": [ - "" + "" ] } ], - "prompt_number": 92 + "prompt_number": 54 }, { "cell_type": "code", @@ -519,7 +556,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 92 + "prompt_number": 48 }, { "cell_type": "code", From a5d751e78a9b91a47e32c89d57e35ae074918c06 Mon Sep 17 00:00:00 2001 From: Daniel Newell Date: Tue, 7 Apr 2015 14:03:16 -0400 Subject: [PATCH 3/3] updated comments and formatted --- Charting Coin Flips.ipynb | 175 ++++++++++++-------------------------- 1 file changed, 54 insertions(+), 121 deletions(-) diff --git a/Charting Coin Flips.ipynb b/Charting Coin Flips.ipynb index 0de1439..27535ef 100644 --- a/Charting Coin Flips.ipynb +++ b/Charting Coin Flips.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:3cad7d951fe76d85628af6d5b799ee27844f529e78f0c50d2d58f862c7f4647b" + "signature": "sha256:bb35ee88c3c3d60a57fef4232d8af04d368477f048c0b79f044d960e6cc87fac" }, "nbformat": 3, "nbformat_minor": 0, @@ -29,7 +29,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 8 + "prompt_number": 4 }, { "cell_type": "code", @@ -40,7 +40,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 9 + "prompt_number": 5 }, { "cell_type": "code", @@ -56,22 +56,12 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 10 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 10 + "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ - "\n", "final = []\n", "heads = []\n", "tails = []\n", @@ -88,8 +78,6 @@ " \n", "def repeat_coin_flip(n = 100000): \n", " ratios1 = []\n", - " \n", - " \n", " log = 0\n", " count = 0\n", " head = 0\n", @@ -115,7 +103,7 @@ " count += 1\n", " if count == n:\n", " final.append(head,tail)\n", - " \n", + " \n", " return ratios1\n", " \n", " \n", @@ -130,21 +118,21 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 11, + "prompt_number": 7, "text": [ - "[]" + "[]" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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"text": [ - "" + "" ] } ], - "prompt_number": 11 + "prompt_number": 7 }, { "cell_type": "code", @@ -158,21 +146,21 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 12, + "prompt_number": 8, "text": [ - "[]" + "[]" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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"text": [ - "" + "" ] } ], - "prompt_number": 12 + "prompt_number": 8 }, { "cell_type": "code", @@ -186,21 +174,21 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 13, + "prompt_number": 9, "text": [ - "" + "" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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"text": [ - "" + "" ] } ], - "prompt_number": 13 + "prompt_number": 9 }, { "cell_type": "code", @@ -214,21 +202,21 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 14, + "prompt_number": 10, "text": [ - "" + "" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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"text": [ - "" + "" ] } ], - "prompt_number": 27 + "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ - "With this many iterations it's even straighter, " + "With this many iterations it's even straighter." ] }, { @@ -468,8 +447,7 @@ ], "language": "python", "metadata": {}, - "outputs": [], - "prompt_number": 51 + "outputs": [] }, { "cell_type": "code", @@ -481,8 +459,7 @@ ], "language": "python", "metadata": {}, - "outputs": [], - "prompt_number": 52 + "outputs": [] }, { "cell_type": "code", @@ -493,61 +470,17 @@ ], "language": "python", "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "pyout", - "prompt_number": 53, - "text": [ - "[1.0,\n", - " 2.0,\n", - " 1.5,\n", - " 1.25,\n", - " 1.4285714285714286,\n", - " 0.9411764705882353,\n", - " 0.7567567567567568,\n", - " 1.0806451612903225,\n", - " 1.089430894308943,\n", - " 1.052,\n", - " 1.00587084148728,\n", - " 1.0207100591715976,\n", - " 0.9907677356656949,\n", - " 1.0056303549571604,\n", - " 0.9950079142822355,\n", - " 1.0074123989218329,\n", - " 1.0063370580131639]" - ] - } - ], - "prompt_number": 53 + "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ - "plt.plot(logs,sdevhitters,)" + "plt.plot(logs,sdevhitters)" ], "language": "python", "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "pyout", - "prompt_number": 54, - "text": [ - "[]" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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