{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Matplotlib Tutorial\n", "> In this post, it will cover the basic usage of matplotlib (especially on pyplot) in various ways. This post is a summary of supplement lecture note in \"Probability and Statistics in Data Science using Python\", offered from UCSD DSE210x\n", "\n", "- toc: true \n", "- badges: true\n", "- comments: true\n", "- author: Chanseok Kang\n", "- categories: [Python, edX, Visualization]\n", "- image: images/multiple_axis_ex.png" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tutorial\n", "This notebook will show you how to draw basic/advanced plots using matplotlib. Please refer to [the offical page](https://matplotlib.org/) for the details." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Line Plot\n", "In this secion, we will plot $y = \\cos(x)$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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