2f:[] 2d:{"title":"✒️ Python, R and Observable Plots 2","cells":[{"id":0,"value":"# ✒️ Python, R and Observable Plots 2","pinned":false,"hidden":false,"mode":"md"},{"id":21,"value":"

Matplotlib

","pinned":false,"hidden":false,"mode":"html"},{"id":23,"value":"

","pinned":false,"hidden":false,"mode":"html"},{"id":25,"value":"

R

","pinned":false,"hidden":false,"mode":"html"},{"id":27,"value":"

","pinned":false,"hidden":false,"mode":"html"},{"id":29,"value":"

Observable Plot

","pinned":false,"hidden":false,"mode":"html"},{"id":39,"value":"viewof range = Inputs.range([500, 6000], {label: \"number of points\", step: 500, value: 3000})","pinned":false,"hidden":false,"mode":"ojs"},{"id":132,"value":"u = 2 * Math.PI / range;","pinned":false,"hidden":false,"mode":"ojs"},{"id":197,"value":"m = 25;","pinned":true,"hidden":false,"mode":"ojs"},{"id":58,"value":"function f(t) {\n return Math.exp(Math.pow(Math.cos(u * t), 2) + Math.sin(u * t)) - 3 * Math.cos(4 * u * t);};","pinned":true,"hidden":false,"mode":"ojs"},{"id":45,"value":"function data(i) { \n return Array.from({length: range}, (_, t) => {\n return {x: .04 * i * f(t) * Math.cos(u * t), y: .04 * i * f(t) * Math.sin(u * t)} })}","pinned":true,"hidden":false,"mode":"ojs"},{"id":75,"value":"Plot.plot({\n grid: true,\n marks: [\n Plot.frame(), \n Array.from({length: m}, (_, i) => {\n return Plot.dot(data(i), {x: \"x\", y: \"y\", fill: Math.floor(m / 2) + 1 - i, r:.5})})\n ], \n x: { domain: [-6, 6]},\n y: { domain: [-4, 6]},\n color: {scheme: \"RdBu\", domain:[0, Math.floor(m / 2)]},\n style: {background: 'lightgray'},\n height: 600,\n width: 600\n})","pinned":true,"hidden":false,"mode":"ojs"},{"id":214,"value":"

","pinned":true,"hidden":false,"mode":"html"},{"id":11,"value":"\n \n\n\n

SageCell Styling and Code Importing

","pinned":false,"hidden":false,"mode":"html"},{"id":5,"value":"import_js = function(src, module_name) {\n /*if (!$('head').find(`script[src='${src}']`)) {\n $('head').append(``);\n }*/\n return new Promise(function(resolve, reject) {\n function waiting(){\n if (typeof module_name == 'undefined') resolve();\n if (eval(module_name)) resolve(eval(module_name));\n setTimeout(waiting, 30);};\n require(src).then(function() {waiting();})\n .catch(function() {waiting();}); }); }","pinned":false,"hidden":false,"mode":"ojs"},{"id":6,"value":"sagecell = import_js('https://sagecell.sagemath.org/static/embedded_sagecell.js', 'window.sagecell')","pinned":false,"hidden":false,"mode":"ojs"},{"id":16,"value":"sage_python1 = {sagecell.makeSagecell({\n inputLocation:'#sage_python1',\n autoeval:true,\n evalButtonText:'run', \n languages: sagecell.allLanguages,\n defaultLanguage:'python'})}","pinned":false,"hidden":false,"mode":"ojs"},{"id":217,"value":"sage_python2 = {\n sagecell.makeSagecell({\n inputLocation: \"#sage_python2\",\n autoeval: true,\n evalButtonText: \"run\",\n languages: sagecell.allLanguages,\n defaultLanguage: \"python\"\n });\n}","pinned":true,"hidden":false,"mode":"ojs"},{"id":17,"value":"sage_r1 = {sagecell.makeSagecell({\n inputLocation:'#sage_r1',\n autoeval:true,\n evalButtonText:'run', \n languages: sagecell.allLanguages,\n defaultLanguage:'r'})}","pinned":false,"hidden":false,"mode":"ojs"}],"files":"$W2f","stdlib":"1","titling":"auto"}