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
数学読本〈4〉数列の極限,順列/順列・組合せ/確率/関数の極限と微分法(松坂 和夫(著)、岩波書店)の第16章(確からしさをみる - 確率)、16.1(確率とその基本性質)、確率の計算、問6、7、8、9、10、11.を取り組んでみる。
コード(Emacs)
HTML5
<div id="graph0"></div> <pre id="output0"></pre> n = <input id="n0" type="number" min="2" step="1" value="100"> <br> <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="sample6.js"></script>
JavaScript
let div0 = document.querySelector('#graph0'), input0 = document.querySelector('#n0'), pre0 = document.querySelector('#output0'), width = 600, height = 600, padding = 20, btn0 = document.querySelector('#draw0'), btn1 = document.querySelector('#clear0'), p = (x) => pre0.textContent += x + '\n', pn = (n) => (n - 1) / (2 * n - 1), qn = (n) => n / (2 * n - 1); let draw = () => { let points = [], n = parseInt(input0.value, 10); for (let i = 2; i <= n; i += 1) { points.push([i, pn(i)]); } for (let i = 2; i <= n; i += 1) { points.push([i, qn(i)]); } let xscale = d3.scaleLinear() .domain([2, n]) .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', (d, i) => i < t ? 'green' : 'blue'); svg.append('g') .attr('transform', `translate(0, ${height - padding})`) .call(xaxis); svg.append('g') .attr('transform', `translate(${padding}, 0)`) .call(yaxis); p('n, pn, qn, difference'); for (let i = 2; i <= n; i += 1) { let a = pn(i), b = qn(i); p(`${i}, ${a}, ${b}, ${b - a}`); } } input0.onchange = draw; btn0.onclick = draw; btn1.onclick = () => pre0.textContent = ''; draw();n =
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