{ "cells": [ { "cell_type": "markdown", "metadata": {}, "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", "\n", "\n", "- TODO: finish this!\n", "- FIXME: something weird is going on..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Some basic plotting" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "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": 29, "metadata": { "collapsed": false }, "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": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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5ms1m4IlFDIQqowAAQIRURkNQGQUAACKkMhqCyigAABAhldEQnBACAAARckIY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\n4BFL1xACAACQKmNDaIYQAAAooJ2dncAjDmpDuLK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = figure();\n", "plot(t, x, 'r*-')\n", "grid on\n", "hold on\n", "plot(t, y, 'b+-')\n", "legend(['\\cos(t)', '\\sin(t)'])\n", "title('Cosinus and sinus on [0, 2 \\pi]')\n", "% whitebg(fig);" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": 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QAgAAhBKEAAAAoQQhAABAKEEIAAAQShACAACEEoQAAAChBCEAAEAoQQgAABBK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\nAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = figure();\n", "grid on\n", "plot(x, y)\n", "title('\\sin(t) as function of \\cos(t)')\n", "% whitebg(fig);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Some basic linear algebra" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "a =\n", "\n", " 1 0 1\n", " 0 1 1\n", " 1 1 0\n", "\n" ] } ], "source": [ "a = [[1 0 1]; [0 1 1]; [1 1 0]]" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ans =\n", "\n", " 1 0 1\n", " 0 1 1\n", " 1 1 0\n", "\n" ] } ], "source": [ "a'" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "b =\n", "\n", " 12 11 12\n", " 11 12 12\n", " 12 12 11\n", "\n" ] } ], "source": [ "b = 1 + a^5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "``eig`` gives the eigen values:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "l_a =\n", "\n", " -1.00000\n", " 1.00000\n", " 2.00000\n", "\n", "l_b =\n", "\n", " -1.0000\n", " 1.0000\n", " 35.0000\n", "\n" ] } ], "source": [ "l_a = eig(a)\n", "l_b = eig(b)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Ua =\n", "\n", " -5.7735e-01 4.0825e-01 -7.0711e-01\n", " -5.7735e-01 -8.1650e-01 -7.8505e-17\n", " -5.7735e-01 4.0825e-01 7.0711e-01\n", "\n", "Sa =\n", "\n", "Diagonal Matrix\n", "\n", " 2.00000 0 0\n", " 0 1.00000 0\n", " 0 0 1.00000\n", "\n", "Va =\n", "\n", " -0.57735 0.81650 -0.00000\n", " -0.57735 -0.40825 0.70711\n", " -0.57735 -0.40825 -0.70711\n", "\n", "Ub =\n", "\n", " -5.7735e-01 4.0825e-01 -7.0711e-01\n", " -5.7735e-01 -8.1650e-01 -1.6098e-15\n", " -5.7735e-01 4.0825e-01 7.0711e-01\n", "\n", "Sb =\n", "\n", "Diagonal Matrix\n", "\n", " 35.00000 0 0\n", " 0 1.00000 0\n", " 0 0 1.00000\n", "\n", "Vb =\n", "\n", " -0.57735 0.81650 -0.00000\n", " -0.57735 -0.40825 0.70711\n", " -0.57735 -0.40825 -0.70711\n", "\n" ] } ], "source": [ "[Ua, Sa, Va] = svd(a)\n", "[Ub, Sb, Vb] = svd(b)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*That's all for today, folks!*" ] } ], "metadata": { "kernelspec": { "display_name": "Octave", "language": "octave", "name": "octave" }, "language_info": { "file_extension": ".m", "help_links": [ { "text": "MetaKernel Magics", "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" } ], "mimetype": "text/x-octave", "name": "octave", "version": "0.16.0" } }, "nbformat": 4, "nbformat_minor": 0 }