Difference between revisions of "Rational functions"
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Line 3: | Line 3: | ||
</html> | </html> | ||
<jsxgraph width="600" height="200" box="box1"> | <jsxgraph width="600" height="200" box="box1"> | ||
− | var board = JXG.JSXGraph.initBoard('box1', { | + | var board = JXG.JSXGraph.initBoard('box1', {boundingbox: [-10, 4, 10, -4], axis:true}); |
var p = []; | var p = []; | ||
var q = []; | var q = []; | ||
− | p[0] = board.create('point', [-1,2], { | + | p[0] = board.create('point', [-1,2], {size:4}); |
− | p[1] = board.create('point', [3,-1], { | + | p[1] = board.create('point', [3,-1], {size:4}); |
− | var f = | + | var f = JXG.Math.Numerics.lagrangePolynomial(p); |
var graph = board.create('functiongraph', [f,-10, 10]); | var graph = board.create('functiongraph', [f,-10, 10]); | ||
function addPoint1() { | function addPoint1() { | ||
− | p.push(board.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{ | + | p.push(board.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{size:4})); |
board.update(); | board.update(); | ||
} | } | ||
Line 22: | Line 22: | ||
</html> | </html> | ||
<jsxgraph width="600" height="200" box="box2"> | <jsxgraph width="600" height="200" box="box2"> | ||
− | var board2 = JXG.JSXGraph.initBoard('box2', { | + | var board2 = JXG.JSXGraph.initBoard('box2', {boundingbox: [-10, 4, 10, -4], axis:true}); |
− | q[0] = board2.create('point', [-1,2], { | + | q[0] = board2.create('point', [-1,2], {size:4}); |
− | q[1] = board2.create('point', [3,-1], { | + | q[1] = board2.create('point', [3,-1], {size:4}); |
− | var f2 = | + | var f2 = JXG.Math.Numerics.lagrangePolynomial(q); |
var graph2 = board2.create('functiongraph', [f2, -10, 10]); | var graph2 = board2.create('functiongraph', [f2, -10, 10]); | ||
function addPoint2() { | function addPoint2() { | ||
− | q.push(board2.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{ | + | q.push(board2.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{size:4})); |
board2.update(); | board2.update(); | ||
} | } | ||
</jsxgraph> | </jsxgraph> | ||
Rational function <math>\frac{f}{g}</math>: | Rational function <math>\frac{f}{g}</math>: | ||
− | + | ||
<jsxgraph width="600" height="400" box="box3"> | <jsxgraph width="600" height="400" box="box3"> | ||
− | var board3 = JXG.JSXGraph.initBoard('box3', { | + | var board3 = JXG.JSXGraph.initBoard('box3', {boundingbox: [-10, 8, 10, -8], 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'}); | ||
board.addChild(board3); | board.addChild(board3); | ||
Line 48: | Line 48: | ||
<source lang="javascript"> | <source lang="javascript"> | ||
− | var board = JXG.JSXGraph.initBoard('box1', { | + | var board = JXG.JSXGraph.initBoard('box1', {boundingbox: [-10, 4, 10, -4], axis:true}); |
var p = []; | var p = []; | ||
var q = []; | var q = []; | ||
− | p[0] = board.create('point', [-1,2], { | + | p[0] = board.create('point', [-1,2], {size:4}); |
− | p[1] = board.create('point', [3,-1], { | + | p[1] = board.create('point', [3,-1], {size:4}); |
− | var f = | + | var f = JXG.Math.Numerics.lagrangePolynomial(p); |
var graph = board.create('functiongraph', [f,-10, 10]); | var graph = board.create('functiongraph', [f,-10, 10]); | ||
function addPoint1() { | function addPoint1() { | ||
− | p.push(board.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{ | + | p.push(board.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{size:4})); |
board.update(); | board.update(); | ||
} | } | ||
− | var board2 = JXG.JSXGraph.initBoard('box2', { | + | var board2 = JXG.JSXGraph.initBoard('box2', {boundingbox: [-10, 4, 10, -4], axis:true}); |
− | q[0] = board2.create('point', [-1,2], { | + | q[0] = board2.create('point', [-1,2], {size:4}); |
− | q[1] = board2.create('point', [3,-1], { | + | q[1] = board2.create('point', [3,-1], {size:4}); |
− | var f2 = | + | var f2 = JXG.Math.Numerics.lagrangePolynomial(q); |
var graph2 = board2.create('functiongraph', [f2, -10, 10]); | var graph2 = board2.create('functiongraph', [f2, -10, 10]); | ||
function addPoint2() { | function addPoint2() { | ||
− | q.push(board2.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{ | + | q.push(board2.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{size:4})); |
board2.update(); | board2.update(); | ||
} | } | ||
− | var board3 = JXG.JSXGraph.initBoard('box3', { | + | var board3 = JXG.JSXGraph.initBoard('box3', {boundingbox: [-10, 8, 10, -8], 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'}); | ||
Latest revision as of 16:47, 20 February 2013
Polynomial [math]f[/math]:
Polynomial [math]g[/math]:
Rational function [math]\frac{f}{g}[/math]:
References
The underlying JavaScript source code
var board = JXG.JSXGraph.initBoard('box1', {boundingbox: [-10, 4, 10, -4], axis:true});
var p = [];
var q = [];
p[0] = board.create('point', [-1,2], {size:4});
p[1] = board.create('point', [3,-1], {size:4});
var f = JXG.Math.Numerics.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],{size:4}));
board.update();
}
var board2 = JXG.JSXGraph.initBoard('box2', {boundingbox: [-10, 4, 10, -4], axis:true});
q[0] = board2.create('point', [-1,2], {size:4});
q[1] = board2.create('point', [3,-1], {size:4});
var f2 = JXG.Math.Numerics.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],{size:4}));
board2.update();
}
var board3 = JXG.JSXGraph.initBoard('box3', {boundingbox: [-10, 8, 10, -8], axis:true});
var graph3 = board3.create('functiongraph', [function(x){return f(x)/f2(x);}, -10, 10], {strokeColor:'#ff0000'});
board.addChild(board3);
board2.addChild(board3);