Rational functions - Revision history

A WASSERMANN at 15:47, 20 February 2013

2013-02-20T15:47:36Z

← Older revision		Revision as of 15:47, 20 February 2013
Line 8:		Line 8:
	p[0] = board.create('point', [-1,2], {size:4});		p[0] = board.create('point', [-1,2], {size:4});
	p[1] = board.create('point', [3,-1], {size:4});		p[1] = board.create('point', [3,-1], {size:4});
	var f = ~~board~~.lagrangePolynomial(p);		var f = JXG.Math.Numerics.lagrangePolynomial(p);
	var graph = board.create('functiongraph', [f,-10, 10]);		var graph = board.create('functiongraph', [f,-10, 10]);

Line 25:		Line 25:
	q[0] = board2.create('point', [-1,2], {size:4});		q[0] = board2.create('point', [-1,2], {size:4});
	q[1] = board2.create('point', [3,-1], {size:4});		q[1] = board2.create('point', [3,-1], {size:4});
	var f2 = ~~board2~~.lagrangePolynomial(q);		var f2 = JXG.Math.Numerics.lagrangePolynomial(q);
	var graph2 = board2.create('functiongraph', [f2, -10, 10]);		var graph2 = board2.create('functiongraph', [f2, -10, 10]);

Line 53:		Line 53:
	p[0] = board.create('point', [-1,2], {size:4});		p[0] = board.create('point', [-1,2], {size:4});
	p[1] = board.create('point', [3,-1], {size:4});		p[1] = board.create('point', [3,-1], {size:4});
	var f = ~~board~~.lagrangePolynomial(p);		var f = JXG.Math.Numerics.lagrangePolynomial(p);
	var graph = board.create('functiongraph', [f,-10, 10]);		var graph = board.create('functiongraph', [f,-10, 10]);

Line 64:		Line 64:
	q[0] = board2.create('point', [-1,2], {size:4});		q[0] = board2.create('point', [-1,2], {size:4});
	q[1] = board2.create('point', [3,-1], {size:4});		q[1] = board2.create('point', [3,-1], {size:4});
	var f2 = ~~board2~~.lagrangePolynomial(q);		var f2 = JXG.Math.Numerics.lagrangePolynomial(q);
	var graph2 = board2.create('functiongraph', [f2, -10, 10]);		var graph2 = board2.create('functiongraph', [f2, -10, 10]);

Michael at 12:26, 8 June 2011

2011-06-08T12:26:16Z

← Older revision		Revision as of 12:26, 8 June 2011
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', {~~originX~~: ~~300~~, ~~originY: 100~~, ~~unitX: 30~~, ~~unitY: 25~~, axis:true});		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], {~~style~~:6});		p[0] = board.create('point', [-1,2], {size:4});
	p[1] = board.create('point', [3,-1], {~~style~~:6});		p[1] = board.create('point', [3,-1], {size:4});
	var f = board.lagrangePolynomial(p);		var f = board.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],{~~style~~:6}));		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', {~~originX~~: ~~300~~, ~~originY: 100~~, ~~unitX: 30~~, ~~unitY: 25~~, axis:true});		var board2 = JXG.JSXGraph.initBoard('box2', {boundingbox: [-10, 4, 10, -4], axis:true});
	q[0] = board2.create('point', [-1,2], {~~style~~:6});		q[0] = board2.create('point', [-1,2], {size:4});
	q[1] = board2.create('point', [3,-1], {~~style~~:6});		q[1] = board2.create('point', [3,-1], {size:4});
	var f2 = board2.lagrangePolynomial(q);		var f2 = board2.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],{~~style~~:6}));		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>:
	~~</html>~~
	<jsxgraph width="600" height="400" box="box3">		<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', {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', {~~originX~~: ~~300~~, ~~originY: 100~~, ~~unitX: 30~~, ~~unitY: 25~~, axis:true});		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], {~~style~~:6});		p[0] = board.create('point', [-1,2], {size:4});
	p[1] = board.create('point', [3,-1], {~~style~~:6});		p[1] = board.create('point', [3,-1], {size:4});
	var f = board.lagrangePolynomial(p);		var f = board.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],{~~style~~:6}));		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', {~~originX~~: ~~300~~, ~~originY: 100~~, ~~unitX: 30~~, ~~unitY: 25~~, axis:true});		var board2 = JXG.JSXGraph.initBoard('box2', {boundingbox: [-10, 4, 10, -4], axis:true});
	q[0] = board2.create('point', [-1,2], {~~style~~:6});		q[0] = board2.create('point', [-1,2], {size:4});
	q[1] = board2.create('point', [3,-1], {~~style~~:6});		q[1] = board2.create('point', [3,-1], {size:4});
	var f2 = board2.lagrangePolynomial(q);		var f2 = board2.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],{~~style~~:6}));		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', {~~originX~~: ~~300~~, ~~originY: 200~~, ~~unitX: 30~~, ~~unitY: 25~~, axis:true});		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'});

A WASSERMANN at 11:00, 25 March 2011

2011-03-25T11:00:56Z

← Older revision		Revision as of 11:00, 25 March 2011
Line 1:		Line 1:
	~~<html>~~
	~~<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" />~~
	~~<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script>~~
	~~</html>~~
	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>
	~~<div id="box1" class="jxgbox" style="width:600px; height:200px;"></div>~~
	</html>		</html>
	~~Polynomial~~ <~~math>g</math>:~~		<jsxgraph width="600" height="200" box="box1">
	~~<html>~~
	~~<form><input type="button" value="Add point" onClick="addPoint2()"></form>~~
	~~<div id~~="~~box2~~" ~~class="jxgbox" style="width:600px;~~ height~~:200px;"></div>~~
	~~</html>~~
	~~Rational function <math>\frac{f}{g}</math>:~~
	~~<html>~~
	~~<div id~~="~~box3~~" ~~class="jxgbox" style="width:600px; height:400px;"></div>~~
	~~<script language~~="~~JavaScript~~">
	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 = [];
Line 29:		Line 16:
	}		}

			</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});
Line 39:		Line 32:
	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'});

	board.addChild(board3);		board.addChild(board3);
	board2.addChild(board3);		board2.addChild(board3);
			</jsxgraph>
	~~</script>~~
	</~~html~~>

	=== 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]

A WASSERMANN at 07:48, 22 July 2010

2010-07-22T07:48:56Z

← Older revision		Revision as of 07:48, 22 July 2010
Line 16:		Line 16:
	<div id="box3" class="jxgbox" style="width:600px; height:400px;"></div>		<div id="box3" class="jxgbox" style="width:600px; height:400px;"></div>
	<script language="JavaScript">		<script language="JavaScript">
	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 = [];
	var q = [];		var q = [];
	p[0] = board.~~createElement~~('point', [-1,2], {style:6});		p[0] = board.create('point', [-1,2], {style:6});
	p[1] = board.~~createElement~~('point', [3,-1], {style:6});		p[1] = board.create('point', [3,-1], {style:6});
	var f = board.lagrangePolynomial(p);		var f = board.lagrangePolynomial(p);
	graph = board.~~createElement~~('functiongraph', [f,-10, 10]);		var graph = board.create('functiongraph', [f,-10, 10]);

	function addPoint1() {		function addPoint1() {
	p.push(board.~~createElement~~('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{style:6}));		p.push(board.create('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{style:6}));
	board.update();		board.update();
	}		}

	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.~~createElement~~('point', [-1,2], {style:6});		q[0] = board2.create('point', [-1,2], {style:6});
	q[1] = board2.~~createElement~~('point', [3,-1], {style:6});		q[1] = board2.create('point', [3,-1], {style:6});
	var f2 = board2.lagrangePolynomial(q);		var f2 = board2.lagrangePolynomial(q);
	graph2 = board2.~~createElement~~('functiongraph', [f2, -10, 10]);		var graph2 = board2.create('functiongraph', [f2, -10, 10]);

	function addPoint2() {		function addPoint2() {
	q.push(board2.~~createElement~~('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{style:6}));		q.push(board2.create('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{style:6}));
	board2.update();		board2.update();
	}		}

	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});
	graph3 = board3.~~createElement~~('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 55:		Line 55:

	<source lang="javascript">		<source lang="javascript">
	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 = [];
	var q = [];		var q = [];
	p[0] = board.~~createElement~~('point', [-1,2], {style:6});		p[0] = board.create('point', [-1,2], {style:6});
	p[1] = board.~~createElement~~('point', [3,-1], {style:6});		p[1] = board.create('point', [3,-1], {style:6});
	var f = board.lagrangePolynomial(p);		var f = board.lagrangePolynomial(p);
	graph = board.~~createElement~~('functiongraph', [f,-10, 10]);		var graph = board.create('functiongraph', [f,-10, 10]);

	function addPoint1() {		function addPoint1() {
	p.push(board.~~createElement~~('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{style:6}));		p.push(board.create('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{style:6}));
	board.update();		board.update();
	}		}

	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.~~createElement~~('point', [-1,2], {style:6});		q[0] = board2.create('point', [-1,2], {style:6});
	q[1] = board2.~~createElement~~('point', [3,-1], {style:6});		q[1] = board2.create('point', [3,-1], {style:6});
	var f2 = board2.lagrangePolynomial(q);		var f2 = board2.lagrangePolynomial(q);
	graph2 = board2.~~createElement~~('functiongraph', [f2, -10, 10]);		var graph2 = board2.create('functiongraph', [f2, -10, 10]);

	function addPoint2() {		function addPoint2() {
	q.push(board2.~~createElement~~('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{style:6}));		q.push(board2.create('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{style:6}));
	board2.update();		board2.update();
	}		}

	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});
	graph3 = board3.~~createElement~~('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);
	board2.addChild(board3);		board2.addChild(board3);

	</source>		</source>

	[[Category:Examples]]		[[Category:Examples]]
	[[Category:Calculus]]		[[Category:Calculus]]

A WASSERMANN at 17:25, 29 October 2009

2009-10-29T17:25:39Z

← Older revision		Revision as of 17:25, 29 October 2009
Line 1:		Line 1:
	<html>		<html>
	<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" />		<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" />
	~~<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script>~~
	<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script>		<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script>
	</html>		</html>

A WASSERMANN at 13:37, 21 August 2009

2009-08-21T13:37:33Z

← Older revision		Revision as of 13:37, 21 August 2009
Line 56:		Line 56:

	<source lang="javascript">		<source lang="javascript">
	board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 100, unitX: 30, unitY: 25});		board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 100, unitX: 30, unitY: 25, axis:true});
	~~// Axes~~		var p = [];
	~~b1axisx~~ = board.createElement('~~axis~~', [[0,0], [1,0]], {});		var q = [];
	~~b1axisy~~ = board.createElement('~~axis~~', [[0,0], ~~[0,1~~]~~], {}~~);		p[0] = board.createElement('point', [-1,2], {style:6});
			p[1] = board.createElement('point', [3,-1], {style:6});
			var f = board.lagrangePolynomial(p);
			graph = board.createElement('functiongraph', [f,-10, 10]);

	~~var p = [];~~		function addPoint1() {
	~~var q = [];~~		p.push(board.createElement('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{style:6}));
	p~~[0] =~~ board.createElement('point', [-1,~~2], {style:6}~~);		board.update();
	~~p[1] = board~~.~~createElement('point', [~~3~~,-1~~], {style:6});		}
	~~var f =~~ board.~~lagrangePolynomial~~(p);
	~~graph = board.createElement('functiongraph', [f,-10, 10]);~~

	~~function addPoint1~~() {		board2 = JXG.JSXGraph.initBoard('box2', {originX: 300, originY: 100, unitX: 30, unitY: 25, axis:true});
	~~p.push(board~~.createElement('point',[~~(Math.random()~~-~~0.5~~)10,(Math.~~random~~()-~~0.5)3~~],{style:6}));		q[0] = board2.createElement('point', [-1,2], {style:6});
	~~board~~.~~update~~();		q[1] = board2.createElement('point', [3,-1], {style:6});
	}		var f2 = board2.lagrangePolynomial(q);
			graph2 = board2.createElement('functiongraph', [f2, -10, 10]);

	~~board2 = JXG.JSXGraph.initBoard~~(~~'box2',~~ {~~originX: 300, originY: 100, unitX: 30, unitY: 25});~~		function addPoint2() {
	~~// Axes~~		q.push(board2.createElement('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{style:6}));
	~~b1axisx2 =~~ board2.createElement('~~axis~~', [[0,0~~], [1,0]~~], {});		board2.update();
	~~b1axisy2 =~~ board2.~~createElement~~(~~'axis', [[0,0], [0,1]], {}~~);		}

	~~q[0]~~ = ~~board2~~.~~createElement~~('~~point~~', ~~[-1~~,2], ~~{style~~:6});		board3 = JXG.JSXGraph.initBoard('box3', {originX: 300, originY: 200, unitX: 30, unitY: 25, axis:true});
	~~q[1]~~ = ~~board2~~.createElement('~~point~~', [~~3,-1],~~ {~~style:6}~~);		graph3 = board3.createElement('functiongraph', [function(x){return f(x)/f2(x);}, -10, 10], {strokeColor:'#ff0000'});
	~~var~~ f2 ~~= board2.lagrangePolynomial~~(q);
	~~graph2 = board2.createElement('functiongraph', [f2~~, -10, 10]);

	~~function addPoint2() {~~
	~~q.push(board2.createElement('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{style:6}));~~
	~~board2.update();~~
	}

	~~board3 = JXG.JSXGraph.initBoard('box3', {originX: 300, originY: 200, unitX: 30, unitY: 25});~~
	~~// Axes~~
	~~b1axisx3 = board3.createElement('axis', [[0,0], [1,0]], {});~~
	~~b1axisy3 = board3.createElement('axis', [[0,0], [0,1]], {});~~
	~~graph3 = board3.createElement('functiongraph', [function(x){return f(x)/f2(x);}, -10, 10], {strokeColor:'#ff0000'});~~
	board.addChild(board3);		board.addChild(board3);
	board2.addChild(board3);		board2.addChild(board3);

A WASSERMANN at 13:37, 21 August 2009

2009-08-21T13:37:03Z

← Older revision		Revision as of 13:37, 21 August 2009
Line 17:		Line 17:
	<div id="box3" class="jxgbox" style="width:600px; height:400px;"></div>		<div id="box3" class="jxgbox" style="width:600px; height:400px;"></div>
	<script language="JavaScript">		<script language="JavaScript">
	board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 100, unitX: 30, unitY: 25});		board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 100, unitX: 30, unitY: 25, axis:true});
	~~// Axes~~		var p = [];
	~~b1axisx~~ = board.createElement('~~axis~~', [[0,0], [1,0]], {});		var q = [];
	~~b1axisy~~ = board.createElement('~~axis~~', [[0,0], ~~[0,1~~]~~], {}~~);		p[0] = board.createElement('point', [-1,2], {style:6});
			p[1] = board.createElement('point', [3,-1], {style:6});
			var f = board.lagrangePolynomial(p);
			graph = board.createElement('functiongraph', [f,-10, 10]);

	~~var p = [];~~		function addPoint1() {
	~~var q = [];~~		p.push(board.createElement('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{style:6}));
	p~~[0] =~~ board.createElement('point', [-1,~~2], {style:6}~~);		board.update();
	~~p[1] = board~~.~~createElement('point', [~~3~~,-1~~], {style:6});		}
	~~var f =~~ board.~~lagrangePolynomial~~(p);
	~~graph = board.createElement('functiongraph', [f,-10, 10]);~~

	~~function addPoint1~~() {		board2 = JXG.JSXGraph.initBoard('box2', {originX: 300, originY: 100, unitX: 30, unitY: 25, axis:true});
	~~p.push(board~~.createElement('point',[~~(Math.random()~~-~~0.5~~)10,(Math.~~random~~()-~~0.5)3~~],{style:6}));		q[0] = board2.createElement('point', [-1,2], {style:6});
	~~board~~.~~update~~();		q[1] = board2.createElement('point', [3,-1], {style:6});
	}		var f2 = board2.lagrangePolynomial(q);
			graph2 = board2.createElement('functiongraph', [f2, -10, 10]);

	~~board2 = JXG.JSXGraph.initBoard('box2', {originX: 300, originY: 100, unitX: 30, unitY: 25});~~		function addPoint2() {
	~~// Axes~~		q.push(board2.createElement('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{style:6}));
	~~b1axisx2 = board2.createElement('axis', [[0,0], [1,0]], {});~~		board2.update();
	~~b1axisy2 = board2.createElement('axis', [[0,0], [0,1]], {});~~		}

	~~q[0] = board2.createElement('point', [-1,2], {style:6});~~
	~~q[1] = board2.createElement('point', [3,-1], {style:6});~~
	~~var f2 = board2.lagrangePolynomial(q);~~
	~~graph2 = board2.createElement('functiongraph', [f2, -10, 10]);~~

	function addPoint2() {
	q.push(board2.createElement('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{style:6}));
	board2.update();
	}

	board3 = JXG.JSXGraph.initBoard('box3', {originX: 300, originY: 200, unitX: 30, unitY: 25~~});~~		board3 = JXG.JSXGraph.initBoard('box3', {originX: 300, originY: 200, unitX: 30, unitY: 25, axis:true});
	~~// Axes~~		graph3 = board3.createElement('functiongraph', [function(x){return f(x)/f2(x);}, -10, 10], {strokeColor:'#ff0000'});
	~~b1axisx3 = board3.createElement('axis', [[0,0], [1,0]]~~, ~~{});~~
	~~b1axisy3 = board3.createElement('~~axis~~', [[0,0], [0,1]], {~~});
	graph3 = board3.createElement('functiongraph', [function(x){return f(x)/f2(x);}, -10, 10], {strokeColor:'#ff0000'});

	~~board1~~.addChild(board3);		board.addChild(board3);
	board2.addChild(board3);		board2.addChild(board3);

Line 104:		Line 93:
	b1axisy3 = board3.createElement('axis', [[0,0], [0,1]], {});		b1axisy3 = board3.createElement('axis', [[0,0], [0,1]], {});
	graph3 = board3.createElement('functiongraph', [function(x){return f(x)/f2(x);}, -10, 10], {strokeColor:'#ff0000'});		graph3 = board3.createElement('functiongraph', [function(x){return f(x)/f2(x);}, -10, 10], {strokeColor:'#ff0000'});
	~~board1~~.addChild(board3);		board.addChild(board3);
	board2.addChild(board3);		board2.addChild(board3);
	</source>		</source>

A WASSERMANN at 13:34, 21 August 2009

2009-08-21T13:34:18Z

← Older revision		Revision as of 13:34, 21 August 2009
Line 54:		Line 54:
	b1axisy3 = board3.createElement('axis', [[0,0], [0,1]], {});		b1axisy3 = board3.createElement('axis', [[0,0], [0,1]], {});
	graph3 = board3.createElement('functiongraph', [function(x){return f(x)/f2(x);}, -10, 10], {strokeColor:'#ff0000'});		graph3 = board3.createElement('functiongraph', [function(x){return f(x)/f2(x);}, -10, 10], {strokeColor:'#ff0000'});

			board1.addChild(board3);
			board2.addChild(board3);

	</script>		</script>
Line 101:		Line 104:
	b1axisy3 = board3.createElement('axis', [[0,0], [0,1]], {});		b1axisy3 = board3.createElement('axis', [[0,0], [0,1]], {});
	graph3 = board3.createElement('functiongraph', [function(x){return f(x)/f2(x);}, -10, 10], {strokeColor:'#ff0000'});		graph3 = board3.createElement('functiongraph', [function(x){return f(x)/f2(x);}, -10, 10], {strokeColor:'#ff0000'});
			board1.addChild(board3);
			board2.addChild(board3);
	</source>		</source>

	[[Category:Examples]]		[[Category:Examples]]
	[[Category:Calculus]]		[[Category:Calculus]]

A WASSERMANN at 12:08, 10 March 2009

2009-03-10T12:08:24Z

← Older revision		Revision as of 12:08, 10 March 2009
Line 27:		Line 27:
	p[1] = board.createElement('point', [3,-1], {style:6});		p[1] = board.createElement('point', [3,-1], {style:6});
	var f = board.lagrangePolynomial(p);		var f = board.lagrangePolynomial(p);
	graph = board.createElement('~~curve~~', [~~'x',~~ f~~, 'x'~~, -10, 10]~~, {curveType:'graph'}~~);		graph = board.createElement('functiongraph', [f,-10, 10]);

	function addPoint1() {		function addPoint1() {
Line 42:		Line 42:
	q[1] = board2.createElement('point', [3,-1], {style:6});		q[1] = board2.createElement('point', [3,-1], {style:6});
	var f2 = board2.lagrangePolynomial(q);		var f2 = board2.lagrangePolynomial(q);
	graph2 = board2.createElement('~~curve~~', [~~'x',~~ f2~~, 'x'~~, -10, 10]~~, {curveType:'graph'}~~);		graph2 = board2.createElement('functiongraph', [f2, -10, 10]);

	function addPoint2() {		function addPoint2() {
Line 53:		Line 53:
	b1axisx3 = board3.createElement('axis', [[0,0], [1,0]], {});		b1axisx3 = board3.createElement('axis', [[0,0], [1,0]], {});
	b1axisy3 = board3.createElement('axis', [[0,0], [0,1]], {});		b1axisy3 = board3.createElement('axis', [[0,0], [0,1]], {});
	graph3 = board3.createElement('~~curve~~', [~~'x',~~ function(x){return f(x)/f2(x);}~~, 'x'~~, -10, 10], {~~curveType:'graph',~~strokeColor:'#ff0000'});		graph3 = board3.createElement('functiongraph', [function(x){return f(x)/f2(x);}, -10, 10], {strokeColor:'#ff0000'});

	</script>		</script>
Line 65:		Line 65:
	<source lang="javascript">		<source lang="javascript">
	board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 100, unitX: 30, unitY: 25});		board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 100, unitX: 30, unitY: 25});
	board.createElement('axis', [[0,0], [1,0]]);		// Axes
	board.createElement('axis', [[0,0], [0,1]]);		b1axisx = board.createElement('axis', [[0,0], [1,0]], {});
			b1axisy = board.createElement('axis', [[0,0], [0,1]], {});

	var p = [];		var p = [];
Line 73:		Line 74:
	p[1] = board.createElement('point', [3,-1], {style:6});		p[1] = board.createElement('point', [3,-1], {style:6});
	var f = board.lagrangePolynomial(p);		var f = board.lagrangePolynomial(p);
	graph = board.createElement('~~curve~~', [~~'x',~~ f~~, 'x'~~, -10, 10]~~, {curveType:'graph'}~~);		graph = board.createElement('functiongraph', [f,-10, 10]);

	function addPoint1() {		function addPoint1() {
Line 81:		Line 82:

	board2 = JXG.JSXGraph.initBoard('box2', {originX: 300, originY: 100, unitX: 30, unitY: 25});		board2 = JXG.JSXGraph.initBoard('box2', {originX: 300, originY: 100, unitX: 30, unitY: 25});
	board2.createElement('axis', [[0,0], [1,0]]);		// Axes
	board2.createElement('axis', [[0,0], [0,1]]);		b1axisx2 = board2.createElement('axis', [[0,0], [1,0]], {});
			b1axisy2 = board2.createElement('axis', [[0,0], [0,1]], {});

	q[0] = board2.createElement('point', [-1,2], {style:6});		q[0] = board2.createElement('point', [-1,2], {style:6});
	q[1] = board2.createElement('point', [3,-1], {style:6});		q[1] = board2.createElement('point', [3,-1], {style:6});
	var f2 = board2.lagrangePolynomial(q);		var f2 = board2.lagrangePolynomial(q);
	graph2 = board2.createElement('~~curve~~', [~~'x',~~ f2~~, 'x'~~, -10, 10]~~, {curveType:'graph'}~~);		graph2 = board2.createElement('functiongraph', [f2, -10, 10]);

	function addPoint2() {		function addPoint2() {
Line 95:		Line 97:

	board3 = JXG.JSXGraph.initBoard('box3', {originX: 300, originY: 200, unitX: 30, unitY: 25});		board3 = JXG.JSXGraph.initBoard('box3', {originX: 300, originY: 200, unitX: 30, unitY: 25});
	board3.createElement('axis', [[0,0], [1,0]]);		// Axes
	board3.createElement('axis', [[0,0], [0,1]]);		b1axisx3 = board3.createElement('axis', [[0,0], [1,0]], {});
	board3.createElement('~~curve~~', [~~'x',~~ function(x){return f(x)/f2(x);}~~, 'x'~~, -10, 10], {~~curveType:'graph',~~strokeColor:'#ff0000'});		b1axisy3 = board3.createElement('axis', [[0,0], [0,1]], {});
			graph3 = board3.createElement('functiongraph', [function(x){return f(x)/f2(x);}, -10, 10], {strokeColor:'#ff0000'});
	</source>		</source>

	[[Category:Examples]]		[[Category:Examples]]
	[[Category:Calculus]]		[[Category:Calculus]]

A WASSERMANN at 17:24, 5 February 2009

2009-02-05T17:24:26Z

← Older revision		Revision as of 17:24, 5 February 2009
Line 65:		Line 65:
	<source lang="javascript">		<source lang="javascript">
	board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 100, unitX: 30, unitY: 25});		board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 100, unitX: 30, unitY: 25});
	~~// Axes~~		board.createElement('axis', [[0,0], [1,0]]);
	~~b1axisx =~~ board.createElement('axis', [[0,0], [1,0]]~~, {}~~);		board.createElement('axis', [[0,0], [0,1]]);
	~~b1axisy =~~ board.createElement('axis', [[0,0], [0,1]]~~, {}~~);

	var p = [];		var p = [];
Line 82:		Line 81:

	board2 = JXG.JSXGraph.initBoard('box2', {originX: 300, originY: 100, unitX: 30, unitY: 25});		board2 = JXG.JSXGraph.initBoard('box2', {originX: 300, originY: 100, unitX: 30, unitY: 25});
	~~// Axes~~		board2.createElement('axis', [[0,0], [1,0]]);
	~~b1axisx2 =~~ board2.createElement('axis', [[0,0], [1,0]]~~, {}~~);		board2.createElement('axis', [[0,0], [0,1]]);
	~~b1axisy2 =~~ board2.createElement('axis', [[0,0], [0,1]]~~, {}~~);

	q[0] = board2.createElement('point', [-1,2], {style:6});		q[0] = board2.createElement('point', [-1,2], {style:6});
Line 97:		Line 95:

	board3 = JXG.JSXGraph.initBoard('box3', {originX: 300, originY: 200, unitX: 30, unitY: 25});		board3 = JXG.JSXGraph.initBoard('box3', {originX: 300, originY: 200, unitX: 30, unitY: 25});
	~~// Axes~~		board3.createElement('axis', [[0,0], [1,0]]);
	~~b1axisx3 =~~ board3.createElement('axis', [[0,0], [1,0]]~~, {}~~);		board3.createElement('axis', [[0,0], [0,1]]);
	~~b1axisy3 =~~ board3.createElement('axis', [[0,0], [0,1]]~~, {}~~);		board3.createElement('curve', ['x', function(x){return f(x)/f2(x);}, 'x', -10, 10], {curveType:'graph',strokeColor:'#ff0000'});
	~~graph3 =~~ board3.createElement('curve', ['x', function(x){return f(x)/f2(x);}, 'x', -10, 10], {curveType:'graph',strokeColor:'#ff0000'});
	</source>		</source>

	[[Category:Examples]]		[[Category:Examples]]
	[[Category:Calculus]]		[[Category:Calculus]]