学習環境
- Surface 3 (4G LTE)、Surface 3 タイプ カバー、Surface ペン(端末)
- Windows 10 Pro (OS)
- 数式入力ソフト(TeX, MathML): MathType
- MathML対応ブラウザ: Firefox、Safari
- MathML非対応ブラウザ(Internet Explorer, Google Chrome...)用JavaScript Library: MathJax
解析入門〈1〉(松坂 和夫(著)、岩波書店)の第5章(各種の初等関数)、5.2(累乗関数、大きさの比較)、問題5.2-3.を取り組んでみる。
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x 0 2-√2 2 2+√2 f'(x) - 0 + + + 0 - - - f''(x) + + + 0 - - - 0 + f(x) 0 4 / e^2
コード(Emacs)
HTML5
<div id="graph0"></div> <pre id="output0"></pre> <button id="draw0">draw</button> <button id="clear0">clear</button> <script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/d3/4.2.6/d3.min.js" integrity="sha256-5idA201uSwHAROtCops7codXJ0vja+6wbBrZdQ6ETQc=" crossorigin="anonymous"></script> <script src="sample3.js"></script>
JavaScript
let div0 = document.querySelector('#graph0'), pre0 = document.querySelector('#output0'), width = 600, height = 600, padding = 50, btn0 = document.querySelector('#draw0'), btn1 = document.querySelector('#clear0'), p = (x) => pre0.textContent += x + '\n'; let f = (x) => Math.pow(x, 2) * Math.exp(-x); let draw = () => { pre0.textContent = ''; let points = []; for (let x = -0.5; x <= 4; x += 0.001) { points.push([x, f(x)]); } let xscale = d3.scaleLinear() .domain([-0.5, 4.5]) .range([padding, width - padding]); let ys = points.map((a) => a[1]); let yscale = d3.scaleLinear() .domain([Math.min(...ys), Math.max(...ys)]) .range([height - padding, padding]); let xaxis = d3.axisBottom().scale(xscale); let yaxis = d3.axisLeft().scale(yscale); div0.innerHTML = ''; let svg = d3.select('#graph0') .append('svg') .attr('width', width) .attr('height', height); let t = points.length / 2; svg.selectAll('circle') .data(points) .enter() .append('circle') .attr('cx', (d) => xscale(d[0])) .attr('cy', (d) => yscale(d[1])) .attr('r', 1) .attr('fill', 'green'); svg.append('g') .attr('transform', `translate(0, ${height - padding})`) .call(xaxis); svg.append('g') .attr('transform', `translate(${padding}, 0)`) .call(yaxis); } btn0.onclick = draw; btn1.onclick = () => pre0.textContent = ''; draw();
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