diff --git a/matplotlib/matplotlib.ipynb b/matplotlib/matplotlib.ipynb index 04329b6..d603fb7 100644 --- a/matplotlib/matplotlib.ipynb +++ b/matplotlib/matplotlib.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:08003effc72ed7242f0098f883755ff31312100e58bf63705b8a1b8c45afc8a4" + "signature": "sha256:b91200ffd00f36de3dea0385bc05af4782cf1c3feae3ccd0113fc179cfe33d61" }, "nbformat": 3, "nbformat_minor": 0, @@ -23,7 +23,11 @@ "* Bar Plots, Histograms, subplot2grid\n", "* Normalized Plots\n", "* Scatter Plots, subplots\n", - "* Kernel Density Estimation Plots" + "* Kernel Density Estimation Plots\n", + "* Basic Plots\n", + "* Histograms\n", + "* Two Histograms on the Same Plot\n", + "* Scatter Plots" ] }, { @@ -32,7 +36,12 @@ "input": [ "import pandas as pd\n", "import numpy as np\n", - "import pylab as plt" + "import pylab as plt\n", + "import seaborn\n", + "\n", + "%matplotlib inline\n", + "\n", + "seaborn.set()" ], "language": "python", "metadata": {}, @@ -186,15 +195,15 @@ "output_type": "pyout", "prompt_number": 4, "text": [ - "" + "" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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yyM+Tnr9D/ntpfn8Z6T4620jaDziA9GDXzuU29nXqqacWj8Evb/e5fpWgdCfup+X3O5Iu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\nqb8HPgRsbFk3NyIm8uUJYG6PMczMzMwGUtfJ5pLeBDwQEbdJGp1qn4g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RnqlbgNsAMvPWiPgDsFfD6/OBu4A1QF/D9j5gcKxCFy6cy4wZ07e6wq0wODivI8edLBYt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\nEbFTZv5zJ+vW5f4B+F1mPgbuW2R8GdC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"text": [ - "" + "" ] } ], @@ -225,15 +234,15 @@ "output_type": "pyout", "prompt_number": 5, "text": [ - "" + "" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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"text": [ - "" + "" ] } ], @@ -289,31 +298,31 @@ "output_type": "pyout", "prompt_number": 6, "text": [ - "" + "" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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+FzNmZr55qJFJkiTNMtONeF1b/nl5ZV0CUf6p2ewmHPVSB/RwNECzXw/zfHRM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\nnnQsfwu8sXJj1nsz8z8nH3B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3ZeaNq1pPk5SjAGoC81yNMFh3AKpo56rGf42IhRFxakTM7HhEkiRJk1Q79/Ea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\nuiIipgKvB24FrsnMfTPz5cA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NhX8laearMM8181WY58Ojn+b6LwJPAhZSv3tPAe4ZYEySJEkz0mqnGiPi4sxc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\nPV6a0vhdBqSZzDzXKDDPh4e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"text": [ - "" + "" ] } ], @@ -361,15 +370,15 @@ "output_type": "pyout", "prompt_number": 7, "text": [ - "" + "" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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NtF9mF46ZmeVcHzZ0hyk4O6NYKk+myZmk/iSLdn0nIpYlk94lIiIklawimzJl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\nHtjaZ32SJEmtGWJmamNVLXTbC8DGbvuJwI6p9+0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H9uudl19+iS22uJHW1nEANDScx6OPHsI666xb5cxWPs3NTXXLf9bbuZNAjfCK0JKk3hg9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\nZ90+vf6SSybw8Y/vypZbbtWn1y+PBZo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"text": [ - "" + "" ] } ], @@ -403,19 +412,55 @@ "output_type": "pyout", "prompt_number": 8, "text": [ - "" + "" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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89thjZ1y/d+9eOnfuzFlnnUWVKlXo0qULW7ZsyTn/3nvv0bBhw5xWwYkTJwKQ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\nJO3YTKlUKVMBuXUr9OsnqycIkVWkeVQIZ9GpE/j7w6efAnD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2FBUR6S0FbCJJrrm8EldKCu7MzISU780NB2xa2kNEpPcUsIkkueaKCnz58V+D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\nIrkAAAAAAElFTkSuQmCC\n", "text": [ - "" + "" ] } ], "prompt_number": 8 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Basic Plots" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "x = np.linspace(0, 2, 10)\n", + "\n", + "plt.plot(x, x, 'o-', label='linear')\n", + "plt.plot(x, x ** 2, 'x-', label='quadratic')\n", + "\n", + "plt.legend(loc='best')\n", + "plt.title('Linear vs Quadratic progression')\n", + "plt.xlabel('Input')\n", + "plt.ylabel('Output');\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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