{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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yxNZN/HztB0jDxq62QPa+CnRVIT89lee/eDs/fe9dlhQXE7GsziqOihB4VZWr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WtFha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\nCxhckBgbbo8ZXPXEM9S1tSWUr4diBqGYwUW/W8iki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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(np.random.randn(1000),\n", " np.random.randn(1000),\n", " c=np.random.randn(1000), s=100)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.2" } }, "nbformat": 4, "nbformat_minor": 2 }