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147
⚪ᗩ⚪I⚪ᗝ⚪І⚪Ẏ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪Ẏ⚪І⚪ᗝ⚪I⚪ᗩ⚪/⚪✤⚪ᴥ⚪ᗩ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᗩ⚪ᴥ⚪✤⚪/⚪ᗱᗴ⚪ᴥ⚪ᗩ⚪ᗯ⚪✤⚪ꗳ⚪Ⓞ⚪ᔓᔕ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᔓᔕ⚪Ⓞ⚪ꗳ⚪✤⚪ᗯ⚪ᗩ⚪ᴥ⚪ᗱᗴ⚪/⚪ЭЄ⚪ᗩ⚪Н⚪ߦ⚪ᗱᗴ⚪ᙏ⚪ЭЄ⚪Ⓞ⚪Ẏ⚪ᗝ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᗝ⚪Ẏ⚪Ⓞ⚪ЭЄ⚪ᙏ⚪ᗱᗴ⚪ߦ⚪Н⚪ᗩ⚪ЭЄ⚪/⚪ᗱᗴ⚪ᕤᕦ⚪ᗩ⚪ᑎ⚪ᕤᕦ⚪ИN⚪ᗩ⚪ᙁ⚪◯⚪ߦ⚪ᑎ⚪✻⚪ᴥ⚪ᗩ⚪ᙏ⚪◯⚪✤⚪ꕤ⚪ᗱᗴ⚪✤⚪ᴥ⚪ᗱᗴ⚪ߦ⚪人⚪옷⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪옷⚪人⚪ߦ⚪ᗱᗴ⚪ᴥ⚪✤⚪ᗱᗴ⚪ꕤ⚪✤⚪◯⚪ᙏ⚪ᗩ⚪ᴥ⚪✻⚪ᑎ⚪ߦ⚪◯⚪ᙁ⚪ᗩ⚪ИN⚪ᕤᕦ⚪ᑎ⚪ᗩ⚪ᕤᕦ⚪ᗱᗴ⚪/LMTH.⚪ᴥᗱᗴ✤Ⓞᙁߦ⚪ᗱᗴᴥᑎ✤ᗩᗯᴥᑎᑐᑕ⚪𖡼⚪𖡼⚪𖡼⚪𖡼⚪𖡼⚪𖡼⚪ᑐᑕᑎᴥᗯᗩ✤ᑎᴥᗱᗴ⚪ߦᙁⓄ✤ᗱᗴᴥ⚪.HTML
147
⚪ᗩ⚪I⚪ᗝ⚪І⚪Ẏ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪Ẏ⚪І⚪ᗝ⚪I⚪ᗩ⚪/⚪✤⚪ᴥ⚪ᗩ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᗩ⚪ᴥ⚪✤⚪/⚪ᗱᗴ⚪ᴥ⚪ᗩ⚪ᗯ⚪✤⚪ꗳ⚪Ⓞ⚪ᔓᔕ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᔓᔕ⚪Ⓞ⚪ꗳ⚪✤⚪ᗯ⚪ᗩ⚪ᴥ⚪ᗱᗴ⚪/⚪ЭЄ⚪ᗩ⚪Н⚪ߦ⚪ᗱᗴ⚪ᙏ⚪ЭЄ⚪Ⓞ⚪Ẏ⚪ᗝ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᗝ⚪Ẏ⚪Ⓞ⚪ЭЄ⚪ᙏ⚪ᗱᗴ⚪ߦ⚪Н⚪ᗩ⚪ЭЄ⚪/⚪ᗱᗴ⚪ᕤᕦ⚪ᗩ⚪ᑎ⚪ᕤᕦ⚪ИN⚪ᗩ⚪ᙁ⚪◯⚪ߦ⚪ᑎ⚪✻⚪ᴥ⚪ᗩ⚪ᙏ⚪◯⚪✤⚪ꕤ⚪ᗱᗴ⚪✤⚪ᴥ⚪ᗱᗴ⚪ߦ⚪人⚪옷⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪옷⚪人⚪ߦ⚪ᗱᗴ⚪ᴥ⚪✤⚪ᗱᗴ⚪ꕤ⚪✤⚪◯⚪ᙏ⚪ᗩ⚪ᴥ⚪✻⚪ᑎ⚪ߦ⚪◯⚪ᙁ⚪ᗩ⚪ИN⚪ᕤᕦ⚪ᑎ⚪ᗩ⚪ᕤᕦ⚪ᗱᗴ⚪/LMTH.⚪ᴥᗱᗴ✤Ⓞᙁߦ⚪ᗱᗴᴥᑎ✤ᗩᗯᴥᑎᑐᑕ⚪𖡼⚪𖡼⚪𖡼⚪𖡼⚪𖡼⚪𖡼⚪ᑐᑕᑎᴥᗯᗩ✤ᑎᴥᗱᗴ⚪ߦᙁⓄ✤ᗱᗴᴥ⚪.HTML
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<!DOCTYPE html> |
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<html> |
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<head> |
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<script src="https://cdnjs.cloudflare.com/ajax/libs/mathjs/12.1.0/math.js"></script> |
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<script src="https://cdn.plot.ly/plotly-latest.min.js"></script> |
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<style> |
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input[type=text]{ |
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--O_ROLOC_O_COLOR_O:#F2F2F2; |
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--O_SUIDAR_RULB_O_BLUR_RADIUS_O:0PX; |
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--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O:1.0PX; |
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BOX-SHADOW:INSET 0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O),0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O)!IMPORTANT; |
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BORDER-WIDTH:0;BORDER-RADIUS:65536PX;OVERFLOW:VISIBLE |
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} |
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input[type=text]:focus{ |
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border-color: #CECECE;BORDER-WIDTH:0PX;border-style: solid;outline: 1PX SOLID #E7E7E7; |
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} |
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input[type=range]::-moz-range-track { |
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HEIGHT:0PX; |
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--O_ROLOC_O_COLOR_O:#F2F2F2; |
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--O_SUIDAR_RULB_O_BLUR_RADIUS_O:0PX; |
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--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O:1.0PX; |
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BOX-SHADOW:INSET 0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O),0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O)!IMPORTANT; |
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BORDER-WIDTH:0;BORDER-RADIUS:65536PX;OVERFLOW:HIDDEN |
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} |
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|
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input[type=range]::-moz-range-thumb { |
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HEIGHT:16PX;WIDTH:16PX; |
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--O_ROLOC_O_COLOR_O:#F2F2F2; |
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--O_SUIDAR_RULB_O_BLUR_RADIUS_O:0PX; |
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--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O:1.0PX; |
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BOX-SHADOW:INSET 0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O),0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O)!IMPORTANT; |
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BORDER-WIDTH:0;BORDER-RADIUS:65536PX;OVERFLOW:HIDDEN |
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} |
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</style> |
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</head> |
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<body style="background:#FFFFFF;font-size:16px;MARGIN:0;COLOR:#CECECE"> |
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<div align="center"> |
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𓊗<br><span id="nVal"></span><br><input type="range" id="n" min="1" max="16" value="8" style="width:100%"><br> |
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✤<br><span id="toVal"></span><br><input type="range" id="to" min="-12.566370614359172953850573533118" max="12.566370614359172953850573533118" value="6.283185307179586476925286766559" step="0.785398163397448" style="width:100%;color:#CECECE"><br> |
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ꗳ<br><span id="fromVal"></span><br><input type="range" id="from" min="-12.566370614359172953850573533118" max="12.566370614359172953850573533118" value="-6.283185307179586476925286766559" step="0.785398163397448" style="width:100%;color:#CECECE"><br> |
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<input type="text" id="formula" value="(1-cos(x*(4)/2))/2 ; acos(cos(x*(4)/2))/pi" style="width:100%; text-align:CENTER;COLOR:#CECECE;FONT-SIZE:16PX"><br> |
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<div id="k-graph"></div> |
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<div id="function-graph"></div> |
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<script> |
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function clamp(x) {return math.max(math.min(x,1),0)} |
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|
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// JS equivalent for the map function |
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function arrayMax(arr) { |
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return Math.max(...arr.map(e => Math.max(...e))); |
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} |
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function arrayMin(arr) { |
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return Math.min(...arr.map(e => Math.min(...e))); |
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} |
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|
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function plot() { |
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var formulas = document.getElementById('formula').value.split(";"); |
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var fromPIO2 = Number(document.getElementById('from').value); |
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var toPIO2 = Number(document.getElementById('to').value); |
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var N = Number(document.getElementById('n').value); |
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|
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var num_points = 0 + 2 ** N; |
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document.getElementById('fromVal').innerText = +fromPIO2; |
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document.getElementById('toVal').innerText = +toPIO2; |
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document.getElementById('nVal').innerText = +N; |
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|
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var from = fromPIO2; |
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var to = toPIO2; |
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|
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var step = (to - from) / num_points; |
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var x_vals = math.range(from, to, step, true).toArray(); |
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|
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var k_trace = []; |
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var function_trace = []; |
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|
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var all_x = []; |
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var all_y = []; |
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|
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formulas.map((formula, i) => { |
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var scope = { |
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clamp: function(x) { return math.max(math.min(x, 1), 0); } |
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}; |
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var kappa_vals = x_vals.map(x => math.evaluate(formula.trim(), { x: x, ...scope})); |
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var theta_vals = math.map(math.cumsum(kappa_vals), x => x * step); |
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var x_coords = math.map(math.cumsum(math.map(theta_vals, math.cos)), x => x * step); |
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var y_coords = math.map(math.cumsum(math.map(theta_vals, math.sin)), x => x * step); |
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|
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if (x_coords[0] != 0 || y_coords[0] != 0) { |
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x_coords.unshift(0); |
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y_coords.unshift(0); |
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} |
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|
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k_trace.push({ |
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x: x_coords, |
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y: y_coords, |
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mode: 'lines', |
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// line: { color: '#CECECE' } |
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line: {width: 1}, |
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hovertemplate: 'X:%{x:.256f}' + '<br>Y:%{y:.256f}', |
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name: '' |
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}); |
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|
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all_x.push(x_coords); |
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all_y.push(y_coords); |
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|
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// Now creating the trace for y=f(x) |
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var y_vals = x_vals.map(x => math.evaluate(formula.trim(), { x: x, ...scope})); |
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|
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function_trace.push({ |
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x: x_vals, |
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y: y_vals, |
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mode: 'lines', |
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// optional features |
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// line: { color: '#CECECE' } |
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line: {width: 1}, |
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hovertemplate: 'X:%{x:.256f}' + '<br>Y:%{y:.256f}', |
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name: '' |
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}); |
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|
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all_x.push(x_vals); |
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all_y.push(y_vals); |
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}); |
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|
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var layout = { |
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margin: { l: 0, r: 0, b: 0, t: 0, pad: 0 }, |
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autosize: true, |
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height: 312, |
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xaxis: {scaleanchor:'y',scaleratio: 1, showgrid:true,zeroline:true,zerolinecolor:'#CECECE',zerolinewidth:2,tick0:0,dtick:1,showticklabels:true ,automargin:true,gridcolor:'#CECECE',tickfont:{color:'#CECECE',size:16}}, |
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yaxis: {range: [arrayMin(all_y), arrayMax(all_y)],showgrid:true,zeroline:true,zerolinecolor:'#CECECE',zerolinewidth:2,tick0:0,dtick:1,showticklabels:true ,automargin:true,gridcolor:'#CECECE',tickfont:{color:'#CECECE',size:16}}, |
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hovermode: 'closest', |
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showlegend: false, |
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hoverlabel: { bgcolor: "#FFFFFF", font_color: '#9C9C9C', bordercolor: "#CECECE", font_size: 16 } |
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} |
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|
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Plotly.newPlot('k-graph', k_trace, layout); |
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Plotly.newPlot('function-graph', function_trace, layout); |
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} |
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plot(); |
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document.getElementById('formula').addEventListener('input', plot); |
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document.getElementById('from').addEventListener('input', plot); |
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document.getElementById('to').addEventListener('input', plot); |
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document.getElementById('n').addEventListener('input', plot); |
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</script> |
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</div> |
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</body> |
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</html> |