diff --git a/numpy/numpy.ipynb b/numpy/numpy.ipynb index 7bef587..85cc682 100644 --- a/numpy/numpy.ipynb +++ b/numpy/numpy.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:cb8fc4454a69123dcb745c323968d06c15444cee91494edb720893b06e98c249" + "signature": "sha256:3968461b55764bd352e164c8cf911ac5515f1616c26827bf2eadf78953616464" }, "nbformat": 3, "nbformat_minor": 0, @@ -16,9 +16,9 @@ "\n", "* NumPy Arrays, dtype, and shape\n", "* Common Array Operations\n", - "* Reshaping and In-Place Updating\n", - "* Combining Arrays\n", - "* Creating Fake Data and Adding Noise" + "* Reshape and Update In-Place\n", + "* Combine Arrays\n", + "* Create Sample Data" ] }, { @@ -327,7 +327,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Reshaping and In-Place Updating" + "## Reshape and Update In-Place" ] }, { @@ -447,7 +447,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Combining Arrays" + "## Combine Arrays" ] }, { @@ -584,7 +584,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Creating Fake Data and Adding Noise" + "## Create Sample Data" ] }, { @@ -594,8 +594,52 @@ "import pylab as plt\n", "import seaborn\n", "\n", - "seaborn.set()\n", - "\n", + "seaborn.set()" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 3 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Create evenly spaced numbers over the specified interval\n", + "x = np.linspace(0, 2, 10)\n", + "plt.plot(x, 'o-');\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "np.random.normal?" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 8 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Create sample data, add some noise\n", "x = np.random.uniform(1, 100, 1000)\n", "y = np.log(x) + np.random.normal(0, .3, 1000)\n", "\n", @@ -608,22 +652,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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xj3cVtaylOMcxg4O3cfvtDURHj2XMmJeVd9Vsbn3zBJgGPIEQvVAVqfStHtXu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\nK5zm9iFwtzKP25zGvxn4jcOHI+2uYlV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u0X0mJOQy0tMrEDKRIOK5E4FcXn/9Q4qKviAl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Cv6+vCqNIWorU7j6PtAX95l+L87l25w07Hmi4lV9zxmyJPGdj69eO79SVdmpU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\nbjSN6LPVIiLSNTSTTjpBoDeDBu3jq199lA0bhmOSu7yYIL4N08lqA9A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