Difference between revisions of "Rational functions"
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Polynomial <math>f</math>: | Polynomial <math>f</math>: | ||
<html><form><input type="button" value="Add point" onClick="addPoint1()"></form> | <html><form><input type="button" value="Add point" onClick="addPoint1()"></form> | ||
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</html> | </html> | ||
| − | + | <jsxgraph width="600" height="200" box="box1"> | |
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var board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 100, unitX: 30, unitY: 25, axis:true}); | var board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 100, unitX: 30, unitY: 25, axis:true}); | ||
var p = []; | var p = []; | ||
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} | } | ||
| + | </jsxgraph> | ||
| + | Polynomial <math>g</math>: | ||
| + | <html> | ||
| + | <form><input type="button" value="Add point" onClick="addPoint2()"></form> | ||
| + | </html> | ||
| + | <jsxgraph width="600" height="200" box="box2"> | ||
var board2 = JXG.JSXGraph.initBoard('box2', {originX: 300, originY: 100, unitX: 30, unitY: 25, axis:true}); | var board2 = JXG.JSXGraph.initBoard('box2', {originX: 300, originY: 100, unitX: 30, unitY: 25, axis:true}); | ||
q[0] = board2.create('point', [-1,2], {style:6}); | q[0] = board2.create('point', [-1,2], {style:6}); | ||
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board2.update(); | board2.update(); | ||
} | } | ||
| − | + | </jsxgraph> | |
| + | Rational function <math>\frac{f}{g}</math>: | ||
| + | </html> | ||
| + | <jsxgraph width="600" height="400" box="box3"> | ||
var board3 = JXG.JSXGraph.initBoard('box3', {originX: 300, originY: 200, unitX: 30, unitY: 25, axis:true}); | var board3 = JXG.JSXGraph.initBoard('box3', {originX: 300, originY: 200, unitX: 30, unitY: 25, axis:true}); | ||
var graph3 = board3.create('functiongraph', [function(x){return f(x)/f2(x);}, -10, 10], {strokeColor:'#ff0000'}); | var graph3 = board3.create('functiongraph', [function(x){return f(x)/f2(x);}, -10, 10], {strokeColor:'#ff0000'}); | ||
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board.addChild(board3); | board.addChild(board3); | ||
board2.addChild(board3); | board2.addChild(board3); | ||
| − | + | </jsxgraph> | |
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| − | </ | ||
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=== References === | === References === | ||
* [http://en.wikipedia.org/wiki/Rational_function http://en.wikipedia.org/wiki/Rational_function] | * [http://en.wikipedia.org/wiki/Rational_function http://en.wikipedia.org/wiki/Rational_function] | ||
Revision as of 13:00, 25 March 2011
Polynomial [math]f[/math]:
Polynomial [math]g[/math]:
Rational function [math]\frac{f}{g}[/math]: </html>
References
The underlying JavaScript source code
var board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 100, unitX: 30, unitY: 25, axis:true});
var p = [];
var q = [];
p[0] = board.create('point', [-1,2], {style:6});
p[1] = board.create('point', [3,-1], {style:6});
var f = board.lagrangePolynomial(p);
var graph = board.create('functiongraph', [f,-10, 10]);
function addPoint1() {
p.push(board.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{style:6}));
board.update();
}
var board2 = JXG.JSXGraph.initBoard('box2', {originX: 300, originY: 100, unitX: 30, unitY: 25, axis:true});
q[0] = board2.create('point', [-1,2], {style:6});
q[1] = board2.create('point', [3,-1], {style:6});
var f2 = board2.lagrangePolynomial(q);
var graph2 = board2.create('functiongraph', [f2, -10, 10]);
function addPoint2() {
q.push(board2.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{style:6}));
board2.update();
}
var board3 = JXG.JSXGraph.initBoard('box3', {originX: 300, originY: 200, unitX: 30, unitY: 25, axis:true});
var graph3 = board3.create('functiongraph', [function(x){return f(x)/f2(x);}, -10, 10], {strokeColor:'#ff0000'});
board.addChild(board3);
board2.addChild(board3);
