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November 17, 2022 05:19
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Intro to Python.ipynb
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| { | |
| "nbformat": 4, | |
| "nbformat_minor": 0, | |
| "metadata": { | |
| "colab": { | |
| "provenance": [], | |
| "authorship_tag": "ABX9TyOVXwvqc3mtnJtUW0zpdN5e", | |
| "include_colab_link": true | |
| }, | |
| "kernelspec": { | |
| "name": "python3", | |
| "display_name": "Python 3" | |
| }, | |
| "language_info": { | |
| "name": "python" | |
| } | |
| }, | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": { | |
| "id": "view-in-github", | |
| "colab_type": "text" | |
| }, | |
| "source": [ | |
| "<a href=\"https://colab.research.google.com/gist/Saroramath/f969062ccd4967e65088e09f2a45c02e/intro-to-python.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "© An intro to Python tutorial presented to graduate students at Dept. of Maths and Stats in the Memorial University of Newfoundland on Nov 17, 2022. \n", | |
| "Shivam Arora.\n", | |
| "sarora17@mun.ca\n", | |
| "\n", | |
| " \n" | |
| ], | |
| "metadata": { | |
| "id": "RFkX12e0hYO8" | |
| } | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "#Introduction to Python\n", | |
| "---\n", | |
| "Python is a high-level open-source language with highly readable syntax, making it very versatile. The language has an extensive ecosystem of libraries for data science, machine learning, scientific computing, etc, as well as for enterprise software development. This makes it one of the most popular programming languages in academia as well as in industry." | |
| ], | |
| "metadata": { | |
| "id": "dI-cD289lamg" | |
| } | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "## What is a computer program?\n", | |
| "A computer program is a set of instructions for a computer to execute.\n", | |
| "---\n", | |
| "" | |
| ], | |
| "metadata": { | |
| "id": "Nj77YgmBnxGz" | |
| } | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "## The language " | |
| ], | |
| "metadata": { | |
| "id": "Abjzegz7pMIK" | |
| } | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "## Data types" | |
| ], | |
| "metadata": { | |
| "id": "bSHqSpi5pVyd" | |
| } | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "1. **Numbers** \n", | |
| "---" | |
| ], | |
| "metadata": { | |
| "id": "4FbatwWdpcRk" | |
| } | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "It has built in numbers and basic arithmatic operations buit-in like\n", | |
| "* +, -, *, /, \n", | |
| "* **, //, %, ==" | |
| ], | |
| "metadata": { | |
| "id": "jPvyWzJWp7_W" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| " 12+13 " | |
| ], | |
| "metadata": { | |
| "id": "PP5vfDc0ij_N" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "15%2 " | |
| ], | |
| "metadata": { | |
| "id": "qqqcxOcGsUaJ" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "It has integers as well as decimals. We can check the `type` of numbers." | |
| ], | |
| "metadata": { | |
| "id": "jOAABV1wsk6B" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "type(1)" | |
| ], | |
| "metadata": { | |
| "id": "k1ZopuzyseVT" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "type(3.0)" | |
| ], | |
| "metadata": { | |
| "id": "XPWy6HVPsalS" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "1==1" | |
| ], | |
| "metadata": { | |
| "id": "9ZNI4CsCx-gl" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "2. **Logic** \n", | |
| "---" | |
| ], | |
| "metadata": { | |
| "id": "0TD9GJ8WzpY1" | |
| } | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "True, False Opertations: and or" | |
| ], | |
| "metadata": { | |
| "id": "Dy7w4tJ20IKR" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "True and False " | |
| ], | |
| "metadata": { | |
| "id": "qcfGh-vT0EMG" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "True or False" | |
| ], | |
| "metadata": { | |
| "id": "niQNh_Mx0Xnz" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "3. **Strings**\n", | |
| "---" | |
| ], | |
| "metadata": { | |
| "id": "rwUDfCEs0k4B" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "'abc'" | |
| ], | |
| "metadata": { | |
| "id": "36gE5k_U0oVv" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "What happens if we try the below:\n", | |
| "* Error??" | |
| ], | |
| "metadata": { | |
| "id": "h5VLJqyx0-mr" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "'After' + 'thought' " | |
| ], | |
| "metadata": { | |
| "id": "Ve1xezML0r3K" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "## Variables" | |
| ], | |
| "metadata": { | |
| "id": "6gg3gWNra8n-" | |
| } | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "We can define the variables and assign the values to them. " | |
| ], | |
| "metadata": { | |
| "id": "Trr8nA96bEld" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "x = 5" | |
| ], | |
| "metadata": { | |
| "id": "mqh0iTHUa7-u" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "y = 'Math'" | |
| ], | |
| "metadata": { | |
| "id": "6MCIia_MbPnV" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "Lets play error or no error" | |
| ], | |
| "metadata": { | |
| "id": "VaNOksbgboUW" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "x + y" | |
| ], | |
| "metadata": { | |
| "id": "Bz9NMU6nbUfp" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "We can define the type of the variable" | |
| ], | |
| "metadata": { | |
| "id": "9TvIZhoPbyV5" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "x:int\n", | |
| "print(type(x))" | |
| ], | |
| "metadata": { | |
| "id": "Kk4ikKWGcD12" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "\n", | |
| "\n", | |
| "```\n", | |
| "Fact: Python is a dynamically typed language so we don't need to define the type of variables. \n", | |
| "```\n", | |
| "\n" | |
| ], | |
| "metadata": { | |
| "id": "x0cDOjMZzLVN" | |
| } | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "Error or no error" | |
| ], | |
| "metadata": { | |
| "id": "LQDNqYYqcsn0" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "x = 5\n", | |
| "x = 6" | |
| ], | |
| "metadata": { | |
| "id": "4VCxbHqrcNhX" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "1 = 2" | |
| ], | |
| "metadata": { | |
| "id": "RyO0DTL4pFlK" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "## Composable data types" | |
| ], | |
| "metadata": { | |
| "id": "7qSg9XJ1al_5" | |
| } | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "1. **Lists**\n", | |
| "---" | |
| ], | |
| "metadata": { | |
| "id": "JfCGNJwzdQYB" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "V = [1,2,3]" | |
| ], | |
| "metadata": { | |
| "id": "Td41mJ2Xalap" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "type(V)" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "m85z8fHWdY_x", | |
| "outputId": "a7b4e67d-e751-47f2-cb2a-2e503e92b527" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "list" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 50 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "len(V)" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "vViMhQ6IddQh", | |
| "outputId": "35e3a6ec-4bdc-4a23-9055-4ad9ce408e07" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "3" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 51 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "Guess the output??" | |
| ], | |
| "metadata": { | |
| "id": "1IQJKlGrdwwK" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "V[1] #??" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "CvnT4GKwPV4s", | |
| "outputId": "c8ef5780-95dd-4952-a81f-52d5f9856079" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "2" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 54 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "[1,2,3] + [4,5,6] #??" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "YNh3CzkMPXth", | |
| "outputId": "5ebe0a86-5a2b-4c8a-fe6e-c00247a2f826" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "[1, 2, 3, 4, 5, 6]" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 55 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "V[2] = 6 #??" | |
| ], | |
| "metadata": { | |
| "id": "1qOTjBJ_feOu" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "V[1:]" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "kOnjfOzmmMLI", | |
| "outputId": "7e45c313-ad88-435d-9d2b-41ec5f82b3f3" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "[2, 3]" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 83 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "Add more items to the list" | |
| ], | |
| "metadata": { | |
| "id": "AucScGQuuSTG" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "V.append(4)\n", | |
| "print(V)" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "N7bNSSAOuEt4", | |
| "outputId": "3492666a-0eb7-44a1-8d45-00478092111a" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "[1, 2, 3, 4]\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "2. **Tuple**\n", | |
| "---" | |
| ], | |
| "metadata": { | |
| "id": "yrtnQ8p9fyjV" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "z = (1,2,3)" | |
| ], | |
| "metadata": { | |
| "id": "dwLnSyJQf1dK" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "type(z)" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "O5b8e1YXf4wY", | |
| "outputId": "c6eedb40-9012-4547-f442-8f50c127be86" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "tuple" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 64 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "z[0]" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "4v9MPZsJf7po", | |
| "outputId": "452d90d9-f056-4142-c800-83bdee2c9427" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "1" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 65 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "z[1] = 9" | |
| ], | |
| "metadata": { | |
| "id": "Yn9I4ntRf927" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "3. **Set**\n", | |
| "---" | |
| ], | |
| "metadata": { | |
| "id": "kJTs2oVe0mR0" | |
| } | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "This is used to reprents collection of unique elements" | |
| ], | |
| "metadata": { | |
| "id": "gofyUELp1P5m" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "A = {1,2}\n", | |
| "B = {2,3}" | |
| ], | |
| "metadata": { | |
| "id": "eDzuFlJF0uX_" | |
| }, | |
| "execution_count": 210, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "A & B" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "lhq9oqNm07oU", | |
| "outputId": "7d61a951-cc22-49ee-9d62-9b3b8579a9ae" | |
| }, | |
| "execution_count": 211, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "{2}" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 211 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "A - B" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "mWQgGv990-7s", | |
| "outputId": "5ae5dce8-b019-4844-e380-124fdbe51630" | |
| }, | |
| "execution_count": 212, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "{1}" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 212 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "A | B" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "8Ejzm6Wi1IDc", | |
| "outputId": "beeb5e1b-a493-4f7d-e790-95aaa834bc99" | |
| }, | |
| "execution_count": 213, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "{1, 2, 3}" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 213 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "A ^ B" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "Qxxye3WK1KQw", | |
| "outputId": "ff7146f8-2789-46c1-813f-0c30736f65e9" | |
| }, | |
| "execution_count": 214, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "{1, 3}" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 214 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "A = set(\"Mississippi\")" | |
| ], | |
| "metadata": { | |
| "id": "jez6JtC31VeH" | |
| }, | |
| "execution_count": 219, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "A" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "5FebSUO61aaX", | |
| "outputId": "4302a111-6ebe-4163-ac75-9571ec439329" | |
| }, | |
| "execution_count": 220, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "{'M', 'i', 'p', 's'}" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 220 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [], | |
| "metadata": { | |
| "id": "puBA9hpc0uEd" | |
| } | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "3. **Dictionaries**" | |
| ], | |
| "metadata": { | |
| "id": "9gzrAXDWy-pW" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "Phonebook = {'Tim': 1223, 'Ron': 4323}" | |
| ], | |
| "metadata": { | |
| "id": "eWN_GTft1nDw" | |
| }, | |
| "execution_count": 228, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "Phonebook['Alice'] = 9080" | |
| ], | |
| "metadata": { | |
| "id": "vB-m18z82h2j" | |
| }, | |
| "execution_count": 229, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "PhoneBook['Tim']" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "Rxi68hBg2HQf", | |
| "outputId": "20eaa2ad-a26c-42d7-b2e7-36e5f09ed860" | |
| }, | |
| "execution_count": 225, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "1223" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 225 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "'Alice' in Phonebook" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "sbtBECI92tBc", | |
| "outputId": "189eb492-e937-4e6c-83e3-7949d20953b5" | |
| }, | |
| "execution_count": 230, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "True" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 230 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "sorted(Phonebook)" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "g1_sw5Vb2w69", | |
| "outputId": "244e12dc-ad75-4a20-c65d-a7260bddc94f" | |
| }, | |
| "execution_count": 231, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "['Alice', 'Ron', 'Tim']" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 231 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "Phonebook.keys()" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "lsDtKYHJ1ziQ", | |
| "outputId": "82078337-d538-441a-bcf2-75092c4f1bae" | |
| }, | |
| "execution_count": 223, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "dict_keys(['Tim', 'Ron'])" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 223 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "Phonebook.values()" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "787y_ojm16_i", | |
| "outputId": "e29b86c9-3661-41c2-ee8b-691511099002" | |
| }, | |
| "execution_count": 224, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "dict_values([1223, 4323])" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 224 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "Phonebook.items()" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "Lk0FVdKT3JFc", | |
| "outputId": "fdff82e1-0868-44f7-9f77-c3d4bcd04097" | |
| }, | |
| "execution_count": 232, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "dict_items([('Tim', 1223), ('Ron', 4323), ('Alice', 9080)])" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 232 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "## Control flow" | |
| ], | |
| "metadata": { | |
| "id": "cvznLPeogk1G" | |
| } | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "1. **While**\n", | |
| "---" | |
| ], | |
| "metadata": { | |
| "id": "yfskXSFagqzM" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "a = 0\n", | |
| "while a <5:\n", | |
| " print('Hi')\n", | |
| " a = a+1" | |
| ], | |
| "metadata": { | |
| "id": "X746rccvg59D" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "a, b = 0, 1\n", | |
| "while a < 1000:\n", | |
| " print(a, end=',')\n", | |
| " a,b = b, a+b" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "4i6gsgsFguzm", | |
| "outputId": "b4188714-8d6e-4905-d024-d6158a62ac8b" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987," | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "2. **If**\n", | |
| "---" | |
| ], | |
| "metadata": { | |
| "id": "A0VBAkGeh-HX" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "if True:\n", | |
| " print(\"yay\")\n" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "T86uQHCBiATC", | |
| "outputId": "be0eca67-540c-4647-81d8-a9dbaf893865" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "yay\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "if 2 < 3:\n", | |
| " print(\"Math is still true\")" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "FChAw2GsiH8t", | |
| "outputId": "26409968-d503-4f29-a024-d8c0b31e2bce" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "Math is still true\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "3. **For**\n", | |
| "---" | |
| ], | |
| "metadata": { | |
| "id": "S5iiwA6qhcRs" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "V = [2,3,5,7]\n", | |
| "for item in V:\n", | |
| " print(item)" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "hAXQFjpilmKp", | |
| "outputId": "595ab6f6-d68b-4c93-8f4a-8db9381f616e" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "2\n", | |
| "3\n", | |
| "5\n", | |
| "7\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "Error or no error??" | |
| ], | |
| "metadata": { | |
| "id": "JgIPWpVPl9dG" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "for item in 'word':\n", | |
| " print(item)" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "YODw-LLCl4DZ", | |
| "outputId": "a86d939c-95b8-45b1-db26-2c4d724e2955" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "w\n", | |
| "o\n", | |
| "r\n", | |
| "d\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "bag = ['apple', 'banana', 'pear', 'melon']\n", | |
| "x = 'does not'\n", | |
| "for item in bag:\n", | |
| " if item == 'banana':\n", | |
| " x = 'does'\n", | |
| " break\n", | |
| "print(f\"The bag {x} contain the banana\")\n" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "mJJIzMcBhpak", | |
| "outputId": "69bd5652-7fca-493f-e43f-1aaae323f5e2" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "The bag does contain the banana\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "How can we reuse the code for another bag?" | |
| ], | |
| "metadata": { | |
| "id": "kmeaNP2GolQq" | |
| } | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "## Functions" | |
| ], | |
| "metadata": { | |
| "id": "G-Nk8xvvokNz" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "def Gary():\n", | |
| " print('Have a good day')" | |
| ], | |
| "metadata": { | |
| "id": "1nq9NgOmosC1" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "Gary()" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "1k4kPyLhpUAy", | |
| "outputId": "cbf31897-c836-4122-89c2-d3f8ccb01b41" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "Have a good day\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "def abs(x):\n", | |
| " if x < 0:\n", | |
| " x = -x\n", | |
| " return x \n" | |
| ], | |
| "metadata": { | |
| "id": "jpfrIYs2pfVG" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "def bananafunc(bag):\n", | |
| " x = 'does not'\n", | |
| " for item in bag:\n", | |
| " if item == 'banana':\n", | |
| " x = 'does'\n", | |
| " break\n", | |
| " print(f\"The bag {x} contain the banana\")\n", | |
| " \n" | |
| ], | |
| "metadata": { | |
| "id": "BYDx5rq6pvQg" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "bag1 = ['apple', 'banana', 'pear', 'melon']\n", | |
| "bag2 = ['apple', 'juice', 'eggs', 'milk']\n" | |
| ], | |
| "metadata": { | |
| "id": "s3qZ7QhQqNoP" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "bananafunc(bag1)" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "Em87c6-6sSiy", | |
| "outputId": "8ee84053-e1e8-4d32-a3c3-5574b8b65e60" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "The bag does contain the banana\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "bananafunc(bag2)\n" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "UNeIpta4rpkU", | |
| "outputId": "0430f4be-2324-462b-e3d5-8956e113f140" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "The bag does not contain the banana\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "bananafunc(2)" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/", | |
| "height": 283 | |
| }, | |
| "id": "c6u-kb9YwISJ", | |
| "outputId": "a7c5fa2d-181b-4a37-a61a-d5639f717b08" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "error", | |
| "ename": "TypeError", | |
| "evalue": "ignored", | |
| "traceback": [ | |
| "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", | |
| "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", | |
| "\u001b[0;32m<ipython-input-174-b1fbcd5c7f13>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mbananafunc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", | |
| "\u001b[0;32m<ipython-input-173-74d1f07c2c84>\u001b[0m in \u001b[0;36mbananafunc\u001b[0;34m(bag)\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mbananafunc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mbag\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0mlist\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 2\u001b[0m \u001b[0mx\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m'does not'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0;32mfor\u001b[0m \u001b[0mitem\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mbag\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 4\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mitem\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;34m'banana'\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mx\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m'does'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", | |
| "\u001b[0;31mTypeError\u001b[0m: 'int' object is not iterable" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "type(bag)" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "6SHTFThhw_O5", | |
| "outputId": "ce0e1826-01fc-49c3-f4c7-b106272d30d0" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "list" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 178 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "def bananafunc(bag:list):\n", | |
| " if type(bag) != list:\n", | |
| " print('Sorry, please input a list')\n", | |
| " return None\n", | |
| " \n", | |
| " x = 'does not'\n", | |
| " for item in bag:\n", | |
| " if item == 'banana':\n", | |
| " x = 'does'\n", | |
| " break\n", | |
| " print(f\"The bag {x} contain the banana\")" | |
| ], | |
| "metadata": { | |
| "id": "VxnHzc6bwvU6" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "bananafunc(2)" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "J4_xipV_xKB8", | |
| "outputId": "2faf7261-b022-4f86-e37e-2b82a6fd0f2e" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "Sorry, please input a list\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "## Classes" | |
| ], | |
| "metadata": { | |
| "id": "RsjFKiT4se9g" | |
| } | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "We can create custom data structures based on our need." | |
| ], | |
| "metadata": { | |
| "id": "jVNLePqPsiOK" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "class Complex:\n", | |
| " def __init__(self, realpart, imagpart):\n", | |
| " self.r = realpart\n", | |
| " self.i = imagpart" | |
| ], | |
| "metadata": { | |
| "id": "rzR4L4hjshFQ" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "z = Complex(1,2)" | |
| ], | |
| "metadata": { | |
| "id": "6WCLRqo9tT96" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "(z.r,z.i)" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "OemMow1wtXR5", | |
| "outputId": "08f3d5f4-c105-4d1d-975f-f449a3bf38ce" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "(1, 2)" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 152 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "* **Methods**\n", | |
| "---" | |
| ], | |
| "metadata": { | |
| "id": "354aNv9zt0Ss" | |
| } | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "We can define methods to for our objects in the classes. For example lists have methods liek len, append" | |
| ], | |
| "metadata": { | |
| "id": "TfkW6Jn1t4kT" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "class Complex:\n", | |
| " def __init__(self, real, img):\n", | |
| " self.r = real\n", | |
| " self.i = img\n", | |
| " def abs(self):\n", | |
| " return self.r**2 + self.i**2 " | |
| ], | |
| "metadata": { | |
| "id": "gluckF2Ptzr4" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "z = Complex(2,3)" | |
| ], | |
| "metadata": { | |
| "id": "47iUkgFOusNT" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "z.abs()" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "Wxr7x8LbuvHy", | |
| "outputId": "ae3dfd0f-c540-4e8d-f97f-104b9d6ad45e" | |
| }, | |
| "execution_count": null, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "13" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 165 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "## Numpy" | |
| ], | |
| "metadata": { | |
| "id": "VPy-4kfS6iRz" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "import numpy as np" | |
| ], | |
| "metadata": { | |
| "id": "jcQuxFwZ6k1x" | |
| }, | |
| "execution_count": 239, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "x = np.array([1,2,3,4,5])" | |
| ], | |
| "metadata": { | |
| "id": "q0ppKSHj6pU2" | |
| }, | |
| "execution_count": 240, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "x.mean()" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "3NUw-LQ-6s5t", | |
| "outputId": "aa4bc33d-7d76-4a0d-cb38-45c77f0c368b" | |
| }, | |
| "execution_count": 245, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "3.0" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 245 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "x.max()" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "tYzZOsFa6xVs", | |
| "outputId": "d4c65d07-f024-4d73-dde8-754eebf4c9ad" | |
| }, | |
| "execution_count": 243, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "5" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 243 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "y = np.array([[1,2],[3,4]])" | |
| ], | |
| "metadata": { | |
| "id": "yR1e3Gf063EN" | |
| }, | |
| "execution_count": 246, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "y" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "RjRd9e_B7H6N", | |
| "outputId": "d65105fc-d5b6-46bc-d08c-afa14278c19a" | |
| }, | |
| "execution_count": 247, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "array([[1, 2],\n", | |
| " [3, 4]])" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 247 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "y[0]" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "OjWhW88-7LiZ", | |
| "outputId": "5d84cef4-fcb1-4ade-ed93-bed86fde749a" | |
| }, | |
| "execution_count": 252, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "array([1, 2])" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 252 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "y[0][1]" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "9xlOFmJA7UmL", | |
| "outputId": "32dd3aeb-2bc1-4e8a-af56-564175374db7" | |
| }, | |
| "execution_count": 253, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "2" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 253 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "np.trace(y)" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "TwbdaV6r7mWK", | |
| "outputId": "c24221f0-d0db-4b6a-9147-27f1dc76619d" | |
| }, | |
| "execution_count": 254, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "5" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 254 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "y" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "BwURXSjH8gTS", | |
| "outputId": "45aed782-1893-4c86-f23b-a74f27d28099" | |
| }, | |
| "execution_count": 259, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "array([[1, 2],\n", | |
| " [3, 4]])" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 259 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "y.T # What operation is that?" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "FBbAn6HY7JUi", | |
| "outputId": "51911d82-fd5d-47ac-ebe4-fe98776bbe39" | |
| }, | |
| "execution_count": 248, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "array([[1, 3],\n", | |
| " [2, 4]])" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 248 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "Matrix addition" | |
| ], | |
| "metadata": { | |
| "id": "4UAUW4768bYl" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "y + y.T" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "FS8Pa-0a8R5J", | |
| "outputId": "9a7f9503-2a68-4459-f89a-d883fa2fbf45" | |
| }, | |
| "execution_count": 258, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "array([[2, 5],\n", | |
| " [5, 8]])" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 258 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "Pointwise multiplication" | |
| ], | |
| "metadata": { | |
| "id": "4zHrPA3L72BD" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "y * y.T" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "aQBcIn3Z7zGj", | |
| "outputId": "015ea8a8-ec46-4137-e01d-8420bd09b4d3" | |
| }, | |
| "execution_count": 257, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "array([[ 1, 6],\n", | |
| " [ 6, 16]])" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 257 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "Matrix multiplication" | |
| ], | |
| "metadata": { | |
| "id": "Nj3lGsJz74aY" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "y @ y.T" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "iU1DXJsj7pFp", | |
| "outputId": "6c27e0d6-672f-45bc-8278-d3c8b66b7a03" | |
| }, | |
| "execution_count": 256, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "array([[ 5, 11],\n", | |
| " [11, 25]])" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 256 | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "x = np.arange(10)\n", | |
| "print(x)" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "v9SM77Tc8zrn", | |
| "outputId": "85df3d1a-1d47-4d2c-c475-cf56253074f2" | |
| }, | |
| "execution_count": 263, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "[0 1 2 3 4 5 6 7 8 9]\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "y = np.sqrt(x)\n", | |
| "print(y)" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "HWh4n5nM80Ym", | |
| "outputId": "a38c5768-b80c-42d8-883d-4f83f93b3e47" | |
| }, | |
| "execution_count": 264, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "[0. 1. 1.41421356 1.73205081 2. 2.23606798\n", | |
| " 2.44948974 2.64575131 2.82842712 3. ]\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "z = np.sin(x)\n", | |
| "print(z)" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "aYZ6Ircs83TP", | |
| "outputId": "3b031c76-41de-434b-f871-47e39bd6ad5e" | |
| }, | |
| "execution_count": 265, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "[ 0. 0.84147098 0.90929743 0.14112001 -0.7568025 -0.95892427\n", | |
| " -0.2794155 0.6569866 0.98935825 0.41211849]\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "## Matplotlib" | |
| ], | |
| "metadata": { | |
| "id": "KCfx5Z1K86dP" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "import matplotlib.pyplot as plt" | |
| ], | |
| "metadata": { | |
| "id": "5JXhazmx9E5W" | |
| }, | |
| "execution_count": 269, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "x = np.arange(10)\n", | |
| "y = np.sqrt(x)\n", | |
| "z = np.sin(x)\n", | |
| "\n" | |
| ], | |
| "metadata": { | |
| "id": "2EaWRgHD9I47" | |
| }, | |
| "execution_count": 299, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "plt.plot(x,y)" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/", | |
| "height": 282 | |
| }, | |
| "id": "6o69sWhU9pil", | |
| "outputId": "02caae31-3595-4693-eb4a-d5843152eb75" | |
| }, | |
| "execution_count": 285, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "[<matplotlib.lines.Line2D at 0x7faa08de3f10>]" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 285 | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ], | |
| "image/png": 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VCYMKXVqFnLx9/OZvm1i6rZS+XZP49VdG8ZVx6SQm6BZ9kXCp0CVQ64sO8Ns3NvHWxt2kdG7HPVeM4LoJGSS11epAIsdLhS6B2FZSzv1vbuHVVUV0SUrk7ouGcdOZmXTS7IciJ0y/PdKiCvcf5sE3tzBvRQHtEtrw/fMGMfOcQXTtqIWXRU6WCl1aRMnBKh5enMsfl+8A4JuT+3PrlMGkJrcPOJlI7FChS7Mqq6hh1ntbeer9+vlWrhmXzj9PHUKa5lsRiTgVujSLQ1W1/OHD7Tz+7lYOVNZyxei+3DF1CANTtWanSHNRoUtEVdbU8cflO3jknVz2lFcz9dSe3HnhMEb01XwrIs1NhS4RUVsX4qUVBTzw5haKyiqZPLAHj98wjPH9Nd+KSEtRoctJW7q1lH+bv4atJYcY3a8b/z1jNGdpvhWRFqdClxNWWl7FLxdu4OUVhfTr3oHHbxjPtBG9NN+KSEBU6HLcQiFnbnY+//f1jVRU1/L98wZx23lD6NBOd3eKBEmFLsdl086D/OzPa8jO28eEzO788uqRDOmVHHQsEUGFLmGqqK7lwbdyeeK9bSQnJfJf15zOjPHpOrwi0oqo0KVJb2/cxc/nr6Nw/2FmjE/nJ5eeSvdO7YKOJSJHUKHLMRWXHeY/Fqznr+t2MrhnZ16YOYmJA3sEHUtEjkGFLv+gti7EM0vzuO+NTdSGnLsvGsZ3zhlIu0TNTS7SmqnQ5XNW5e/np39ew7qiA3xpaCq/mD6SjB4dg44lImFQoQsABypr+M3fNjFnWR6pndvz8NfHcemo3jrpKRJFVOhxzt15bXUx9762nj3lVdw4OZO7pg0lOUnzk4tEGxV6HMsrPcTPX1nHks0ljEzrwpM3ZnF6eregY4nICVKhx6Gq2jp+v2Qb//N2Lm0T2nDPFSP45uRMEtro8IpINGuy0M3sKeByYLe7jzzK61OAV4BPGja97O73RjKkRM6ybaX87M/1E2ldNqoPP798BL27JgUdS0QiIJwR+h+Ah4DZX7DPe+5+eUQSSbMoLa/iVws38tKKAtJP6cDTN53BecN7Bh1LRCKoyUJ39yVmltn8UaQ5hELOizn1E2mVV9Zy65RB/OB8TaQlEosidQx9spmtAoqAH7n7uqPtZGYzgZkAGRkZEXprOZbNu+on0vpoe/1EWv959UiGaiItkZgViUJfAfR393IzuxSYDww52o7uPguYBZCVleUReG85isPVdTz49hZ+v+SzibSuGZdOG530FIlpJ13o7n6g0eOFZvaImaW4+56T/d5y/BZv3M3PX1lLwb7DXDM+nZ9qIi2RuHHShW5mvYFd7u5mNgFoA5SedDI5LjvLKrn3tXUsXFM/kdbzMycxSRNpicSVcC5b/BMwBUgxswLgHqAtgLs/BlwDfM/MaoHDwLXursMpLaQu5Mxeup3fvrGZmrqQJtISiWPhXOVyXROvP0T9ZY3SwnYfrOTWZ1eQnbePc4em8ovpp9G/R6egY4lIQHSnaJRalb+fW+bkUHa4hvu/NpqrxqRpIi2ROKdCj0Lzcgr46Z/X0DO5PS9970xG9O0SdCQRaQVU6FGkti7ELxdu4OkPtnPmoB489PVxuoJFRD6lQo8Sew9Vc9sfV/Dh1lK+dVYmP7v0VBITdOJTRD6jQo8C64sOMHNONrsPVvGbGaO5Znx60JFEpBVSobdyr64q4u55q+jWoR1zb5nMmH6ar1xEjk6F3krVhZzfvLGJR9/ZSlb/U3jk+nH0TNY0tyJybCr0VqjscA23P/8x72wq4boJGfzHlafpRiERaZIKvZXJ3X2Q78zOIX9vBb+8eiTfmNg/6EgiEiVU6K3IovW7uOOFlSS1bcOfZk7ijMzuQUcSkSiiQm8FQiHnocW53LdoM6PSuvL4DePp261D0LFEJMqo0ANWXlXLXXNX8rd1u/jy2DR+9eVRJLXVakIicvxU6AHavucQM+dks7XkED+/fAQ3n5Wp+VhE5ISp0AOyZHMJt/1xBW3aGLNvnsBZg1OCjiQiUU6F3sLcnd+/t43/9/pGhvZKZtYNWWT06Bh0LBGJASr0FnS4uo4fv7yaV1YWcdmoPvz3jNPp2E7/C0QkMtQmLaRgXwW3zMlhffEB7r5oGLdOGaTj5SISUSr0FrBsWym3PreCmtoQT96YxfnDewUdSURikAq9Gbk7c5blce+r6+nfoyOzvpnFoNTOQccSkRilQm8mVbV1/Hz+WuZmFzD11J7c97UxdElqG3QsEYlhKvRmsOtAJd99NoePd+znB+cP5o6pQ2nTRsfLRaR5qdAjbMWOfXx3Tg7lVbU8+o1xXDKqT9CRRCROqNAj6IWPdvDz+evo3TWJOd+eyLDeyUFHEpE4okKPgJq6EL94bT2zl+ZxzpAU/ue6sXTrqMWbRaRlNblqgpk9ZWa7zWztMV43M3vQzHLNbLWZjYt8zNartLyK659YzuyleXznnAE8fdMZKnMRCUQ4I/Q/AA8Bs4/x+iXAkIY/E4FHG/6OeWsLy7hlTg57yqv43dfGcNXYtKAjiUgca3KE7u5LgL1fsMt0YLbXWwZ0M7OYPxP4/pY9XPPYh7g78757pspcRAIXiWPoaUB+o+cFDduKj9zRzGYCMwEyMjIi8NbBqAs59yxYS99uHZh7y2RSOrcPOpKISNMj9Ehy91nunuXuWampqS351hH1yspCtpYc4l8uGqYyF5FWIxKFXgj0a/Q8vWFbTKqpC/G7N7dwWt8uXHRa76DjiIh8KhKFvgD4ZsPVLpOAMnf/h8MtseKlnAJ27K3gzguHarZEEWlVmjyGbmZ/AqYAKWZWANwDtAVw98eAhcClQC5QAXyrucIGraq2jgff2sKYft04f3jPoOOIiHxOk4Xu7tc18boD349YolbshY/yKSqr5NfXnK7RuYi0Oi16UjSaVdbU8dDbuUwY0J2ztf6niLRCKvQwPbssj90Hq7hLx85FpJVSoYfhUFUtj76zlbMHpzBxYI+g44iIHJUKPQx/+HA7pYequXPa0KCjiIgckwq9CQcqa5i1ZBvnD+/JuIxTgo4jInJMKvQmPPX+J5QdruHOCzU6F5HWTYX+BfZXVPPke59w8Wm9GZnWNeg4IiJfSIX+BWYt2UZ5dS13aHQuIlFAhX4Me8qrePqD7Vxxel8tJSciUUGFfgyPvbOVqto6bp86JOgoIiJhUaEfxa4DlcxZlsfVY9MZlNo56DgiImFRoR/Fw4tzqQs5t1+g0bmIRA8V+hEK9x/m+f/NZ0ZWPzJ6dAw6johI2FToR3jo7S0A/OD8wQEnERE5Pir0RvJKDzE3u4CvT8ygb7cOQccRETkuKvRGHnhrC4ltjFunDAo6iojIcVOhN8jdXc78jwu58cxMenZJCjqOiMhxU6E3+N2bm0lqm8At5w4MOoqIyAlRoQMbig/w2upibj5rAD06tw86jojICVGhA/cv2kxyUiLfOUejcxGJXnFf6GsKynhj/S7+6eyBdO3YNug4IiInLO4L/beLNtGtY1tuPjsz6CgiIiclrgs9J28f72wq4ZZzB5GcpNG5iES3uC70+xZtIqVzO248s3/QUURETlpYhW5mF5vZJjPLNbMfH+X1m8ysxMxWNvz5p8hHjaylW0v5ILeU700ZTMd2iUHHERE5aU02mZklAA8DFwIFwEdmtsDd1x+x6wvuflszZIw4d+e+RZvo1aU935iYEXQcEZGICGeEPgHIdfdt7l4NPA9Mb95Yzeu9LXv4aPs+bjt/CEltE4KOIyISEeEUehqQ3+h5QcO2I33FzFab2Twz63e0b2RmM80s28yyS0pKTiDuyXN3fvvGJtK6deBrWUeNKSISlSJ1UvRVINPdTwcWAc8cbSd3n+XuWe6elZqaGqG3Pj5vbdjNqoIybr9gCO0S4/qcsIjEmHAarRBoPJRNb9j2KXcvdfeqhqdPAOMjEy+yQiHnt4s2k9mjI18ed7R/ZIiIRK9wCv0jYIiZDTCzdsC1wILGO5hZn0ZPrwQ2RC5i5Px13U42FB/g9qlDSEzQ6FxEYkuTV7m4e62Z3Qb8DUgAnnL3dWZ2L5Dt7guAfzazK4FaYC9wUzNmPiF1Ief+RZsZ3LMzV47W6FxEYk9YF2C7+0Jg4RHb/r3R458AP4lstMh6dVURW3aX8/DXx5HQxoKOIyIScXFx3KG2LsTv3tzMqX26cMnI3kHHERFpFnFR6C+vKGR7aQV3XjiUNhqdi0iMivlCr64N8cBbWxid3pWpp/YMOo6ISLOJ+UKfm51P4f7D3DltGGYanYtI7IrpQq+sqeOht3PJ6n8K5w5JCTqOiEiziulC/+PyHew8UMldGp2LSByI2UKvqK7lkXdyOXNQDyYP6hF0HBGRZhezhT57aR57yqu5a9rQoKOIiLSImCz0g5U1PP7uVqYMS2V8/+5BxxERaRExWehPf7CdfRU13HmhRuciEj9irtDLKmr4/XvbmDaiF6endws6johIi4m5Qn/i/W0crKzlDo3ORSTOxFSh7z1UzVPvf8Jlp/fh1D5dgo4jItKiYqrQH393K4dr6rhj6pCgo4iItLiYKfTdByt5Zul2rhqTxuCeyUHHERFpcTFT6I8s3kpNnXO7RuciEqdiotCL9h/mj8t3MGN8Ov17dAo6johIIGKi0B9anIvj3Hb+4KCjiIgEJuoLPX9vBXM/yue6CRmkn9Ix6DgiIoGJ+kJ/4K0tJLQxvn+eRuciEt+iutC3lZTz8ooCrp/Un15dkoKOIyISqKgu9Afe2kL7xAS+N2VQ0FFERAIXtYW+aedBFqwq4qazMknp3D7oOCIigYvaQv/dm5vp3C6RW84dGHQUEZFWIaxCN7OLzWyTmeWa2Y+P8np7M3uh4fXlZpYZ6aCNrS0s4/W1O7n57AF069iuOd9KRCRqNFnoZpYAPAxcAowArjOzEUfs9m1gn7sPBu4Hfh3poI3dv2gzXTu05dvnDGjOtxERiSrhjNAnALnuvs3dq4HngelH7DMdeKbh8TzgAmumVZk/3rGPtzbuZua5A+mS1LY53kJEJCqFU+hpQH6j5wUN2466j7vXAmXAP6zMbGYzzSzbzLJLSkpOKLAD5w5N5aYzM0/o60VEYlWLnhR191nunuXuWampqSf0PcZlnMLsmyfQqX1ihNOJiES3cAq9EOjX6Hl6w7aj7mNmiUBXoDQSAUVEJDzhFPpHwBAzG2Bm7YBrgQVH7LMAuLHh8TXA2+7ukYspIiJNafK4hbvXmtltwN+ABOApd19nZvcC2e6+AHgSmGNmucBe6ktfRERaUFgHot19IbDwiG3/3uhxJTAjstFEROR4RO2doiIi8nkqdBGRGKFCFxGJESp0EZEYYUFdXWhmJUDeCX55CrAngnGinT6Pz9Pn8Rl9Fp8XC59Hf3c/6p2ZgRX6yTCzbHfPCjpHa6HP4/P0eXxGn8XnxfrnoUMuIiIxQoUuIhIjorXQZwUdoJXR5/F5+jw+o8/i82L684jKY+giIvKPonWELiIiR1Chi4jEiKgr9KYWrI4nZtbPzBab2XozW2dmtwedKWhmlmBmH5vZa0FnCZqZdTOzeWa20cw2mNnkoDMFxczuaPgdWWtmfzKzpKAzNYeoKvQwF6yOJ7XAXe4+ApgEfD/OPw+A24ENQYdoJR4A/uruw4HRxOnnYmZpwD8DWe4+kvppwGNyiu+oKnTCW7A6brh7sbuvaHh8kPpf2CPXe40bZpYOXAY8EXSWoJlZV+Bc6tcqwN2r3X1/sKkClQh0aFhRrSNQFHCeZhFthR7OgtVxycwygbHA8mCTBOp3wL8AoaCDtAIDgBLg6YZDUE+YWaegQwXB3QuB3wA7gGKgzN3fCDZV84i2QpejMLPOwEvAD939QNB5gmBmlwO73T0n6CytRCIwDnjU3ccCh4C4POdkZqdQ/y/5AUBfoJOZXR9squYRbYUezoLVccXM2lJf5s+5+8tB5wnQWcCVZrad+kNx55vZs8FGClQBUODuf/8X2zzqCz4eTQU+cfcSd68BXgbODDhTs4i2Qg9nweq4YWZG/THSDe5+X9B5guTuP3H3dHfPpP7n4m13j8lRWDjcfSeQb2bDGjZdAKwPMFKQdgCTzKxjw+/MBcToCeKw1hRtLY61YHXAsYJ0FqnUnlwAAABgSURBVHADsMbMVjZs+2nDGrAiPwCeaxj8bAO+FXCeQLj7cjObB6yg/sqwj4nRKQB067+ISIyItkMuIiJyDCp0EZEYoUIXEYkRKnQRkRihQhcRiREqdBGRGKFCFxGJEf8fKmun+hgD0NgAAAAASUVORK5CYII=\n" | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| } | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "plt.plot(x,z)" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/", | |
| "height": 282 | |
| }, | |
| "id": "LYWKKoN-9YRn", | |
| "outputId": "fcaa7f7c-9bb1-409e-bad6-a63599f586a3" | |
| }, | |
| "execution_count": 300, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "[<matplotlib.lines.Line2D at 0x7faa087e7090>]" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 300 | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| } | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "Make it smooth: Get more points within a domain" | |
| ], | |
| "metadata": { | |
| "id": "SD8dvKtY-muY" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "x = np.linspace(0, 2*np.pi, 10)\n", | |
| "z = np.sin(x)" | |
| ], | |
| "metadata": { | |
| "id": "MQgYrdaA9_ZF" | |
| }, | |
| "execution_count": 306, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "plt.plot(x,z)" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/", | |
| "height": 282 | |
| }, | |
| "id": "mnBBQ2Uy-ZFn", | |
| "outputId": "5ecccb06-abed-4a32-a46c-3052bb97f725" | |
| }, | |
| "execution_count": 307, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| "[<matplotlib.lines.Line2D at 0x7faa086c0850>]" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 307 | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 432x288 with 1 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| } | |
| } | |
| ] | |
| } | |
| ] | |
| } |
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