{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" }, "toc": "true" }, "source": [ "# Table of Contents\n", "
" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Quick demonstration of GNU Octave\n", "In a Jupyter Notebook\n", "\n", "> - This [Jupyter Notebook](http://jupyter.org/) was written by [Lilian Besson](https://github.com/Naereen/).\n", "> - It uses the unofficial [Octave kernel for Jupyter](https://github.com/calysto/octave_kernel) by [@Calysto](https://github.com/calysto/)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "----\n", "## Some basic plotting\n", "\n", "Let show some basic use of GNU Octave for computations, and plotting." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "N = 100\n", "Number of values N =100\n", "h = 0.010000\n", "Step h = 0.01\n" ] } ], "source": [ "% Some variables\n", "N = 100\n", "disp(['Number of values N =', num2str(N)])\n", "h = 1 / N\n", "disp(['Step h = ', num2str(h)])" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ans = 629\n", "ans = 629\n", "ans = 629\n" ] } ], "source": [ "% Some arrays\n", "t = 0 : h : 2*pi;\n", "x = cos(t);\n", "y = sin(t);\n", "length(t)\n", "length(x)\n", "length(y)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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jKS7myBH27OHGG7HZehebtAlr9mxqarj5Zm64gRUr9BeHuVSiRYFHROjCXWFh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\nj2O343DQ2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