Harmonic Waves - Revision history

A WASSERMANN at 17:31, 15 March 2020

2020-03-15T17:31:24Z

← Older revision		Revision as of 17:31, 15 March 2020
Line 32:		Line 32:
	board1.suspendUpdate();		board1.suspendUpdate();
	var s = board1.create('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S',snapWidth:1});		var s = board1.create('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S',snapWidth:1});
	board1.~~createElement~~('functiongraph', [		board1.create('functiongraph', [
	function(t) {		function(t) {
	var val = 0, sv = s.Value()+1,		var val = 0, sv = s.Value()+1,

Michael at 07:12, 8 June 2011

2011-06-08T07:12:14Z

← Older revision		Revision as of 07:12, 8 June 2011
Line 2:		Line 2:
	board1 = JXG.JSXGraph.initBoard('jxgbox1', {axis: true, boundingbox: [-6, 5, 6, -5]});		board1 = JXG.JSXGraph.initBoard('jxgbox1', {axis: true, boundingbox: [-6, 5, 6, -5]});
	board1.suspendUpdate();		board1.suspendUpdate();
	var s = board1.~~createElement~~('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S',snapWidth:1});		var s = board1.create('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S',snapWidth:1});
	board1.~~createElement~~('functiongraph', [		board1.create('functiongraph', [
	function(t) {		function(t) {
	var val = 0, sv = s.Value()+1,		var val = 0, sv = s.Value()+1,
Line 14:		Line 14:
	}, -10, 10], {strokeColor: "#bb0000"});		}, -10, 10], {strokeColor: "#bb0000"});

	board1.~~createElement~~('functiongraph', [		board1.create('functiongraph', [
	function(t) {		function(t) {
	var val = 0, sv = s.Value()+1,		var val = 0, sv = s.Value()+1,
Line 31:		Line 31:
	board1 = JXG.JSXGraph.initBoard('jxgbox1', {axis: true, boundingbox: [-6, 5, 6, -5]});		board1 = JXG.JSXGraph.initBoard('jxgbox1', {axis: true, boundingbox: [-6, 5, 6, -5]});
	board1.suspendUpdate();		board1.suspendUpdate();
	var s = board1.~~createElement~~('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S',snapWidth:1});		var s = board1.create('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S',snapWidth:1});
	board1.createElement('functiongraph', [		board1.createElement('functiongraph', [
	function(t) {		function(t) {
Line 43:		Line 43:
	}, -10, 10], {strokeColor: "#bb0000"});		}, -10, 10], {strokeColor: "#bb0000"});

	board1.~~createElement~~('functiongraph', [		board1.create('functiongraph', [
	function(t) {		function(t) {
	var val = 0, sv = s.Value()+1,		var val = 0, sv = s.Value()+1,

Michael at 07:11, 8 June 2011

2011-06-08T07:11:38Z

← Older revision		Revision as of 07:11, 8 June 2011
Line 1:		Line 1:
	<~~html>~~		<jsxgraph box="jxgbox1" width="600" height="500">
	~~<link rel="stylesheet" type="text/css" href="http://~~jsxgraph~~.uni-bayreuth.de/distrib/jsxgraph.css" />~~		board1 = JXG.JSXGraph.initBoard('jxgbox1', {axis: true, boundingbox: [-6, 5, 6, -5]});
	~~<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script>~~
	~~<div id~~="jxgbox1" ~~class~~="~~jxgbox" style=~~"~~width:600px;~~ height~~:500px;"></div>~~
	~~<script language~~="~~JavaScript~~">
	board1 = JXG.JSXGraph.initBoard('jxgbox1', {~~originX~~: ~~300~~, ~~originY~~: ~~200~~, ~~unitX: 50~~, ~~unitY: 50~~});
	board1.suspendUpdate();		board1.suspendUpdate();
	~~board1.createElement('axis', [[0,0], [1,0]], {});~~
	~~board1.createElement('axis', [[0,0], [0,1]], {});~~
	var s = board1.createElement('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S',snapWidth:1});		var s = board1.createElement('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S',snapWidth:1});
	board1.createElement('functiongraph', [		board1.createElement('functiongraph', [
Line 32:		Line 26:

	board1.unsuspendUpdate();		board1.unsuspendUpdate();
	</~~script>~~		</jsxgraph>
	~~</html~~>

	<source lang="javascript">		<source lang="javascript">
	board1 = JXG.JSXGraph.initBoard('jxgbox1', {~~originX~~: ~~300~~, ~~originY~~: ~~200~~, ~~unitX: 50~~, ~~unitY: 50~~});		board1 = JXG.JSXGraph.initBoard('jxgbox1', {axis: true, boundingbox: [-6, 5, 6, -5]});
	board1.suspendUpdate();		board1.suspendUpdate();
	board1.createElement('~~axis~~', [[0,0], [1,0]], {});		var s = board1.createElement('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S',snapWidth:1});
	board1.createElement('~~axis~~', [[0,~~0], [0~~,1~~]], {})~~;		board1.createElement('functiongraph', [
	var s = ~~board1~~.~~createElement~~(~~'slider', [[0~~.~~75,-~~2~~],[4.5~~,-~~2],[0,0~~,10]], {~~name:'S',snapWidth~~:1});		function(t) {
	board1.createElement('functiongraph', [		var val = 0, sv = s.Value()+1,
	function(t) {		k = 1;
	var val = 0, sv = s.Value()+1,		for(var i = 0; i < sv; i++) {
			val = val + Math.sin(2Math.PIk*t)/k;
			k += 1;
			}
			return val+2;
			}, -10, 10], {strokeColor: "#bb0000"});

			board1.createElement('functiongraph', [
			function(t) {
			var val = 0, sv = s.Value()+1,
	k = 1;		k = 1;
	for(var i = 0; i < sv; i++~~) {~~		for(var i = 0; i < sv; i++) {
	~~val = val + Math.sin(2Math.PIk*t)/k;~~		val = val + Math.sin(2Math.PI(2k-1)t)/(2*k-1);
	~~k += 1;~~		k += 1;
	}		}
	~~return val+2;~~		return val-2;
	~~}, -10, 10], {strokeColor: "#bb0000"});~~		}, -10, 10], {strokeColor: "#cc5520"});

	~~board1.createElement('functiongraph', [~~
	~~function(t~~) {
	~~var val = 0, sv = s.Value()+1,~~
	~~k = 1;~~
	~~for(var i = 0; i < sv; i++) {~~
	val = val + Math.sin(2Math.PI(2k-1)t)/(2*k-1);
	k += 1;
	}
	return val-2;
	}, -10, 10], {strokeColor: "#cc5520"});

	board1.unsuspendUpdate();		board1.unsuspendUpdate();
	</source>		</source>

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

A WASSERMANN at 17:07, 29 October 2009

2009-10-29T17:07:05Z

← Older revision		Revision as of 17:07, 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>
	<div id="jxgbox1" class="jxgbox" style="width:600px; height:500px;"></div>		<div id="jxgbox1" class="jxgbox" style="width:600px; height:500px;"></div>

A WASSERMANN at 08:08, 20 September 2009

2009-09-20T08:08:56Z

← Older revision		Revision as of 08:08, 20 September 2009
Line 42:		Line 42:
	board1.createElement('axis', [[0,0], [0,1]], {});		board1.createElement('axis', [[0,0], [0,1]], {});
	var s = board1.createElement('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S',snapWidth:1});		var s = board1.createElement('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S',snapWidth:1});
	~~board1.createElement('functiongraph', [~~
	board1.createElement('functiongraph', [		board1.createElement('functiongraph', [
	function(t) {		function(t) {
	var val = 0, sv = s.Value()+1,		var val = 0, sv = s.Value()+1,
	k = 1;		k = 1;
	for(var i = 0; i < sv; i++) {		for(var i = 0; i < sv; i++) {
	val = val + Math.sin(2Math.PIk*t)/k;		val = val + Math.sin(2Math.PIk*t)/k;
	k += 1;		k += 1;
	}		}
	return val+2;		return val+2;
	}, -10, 10], {strokeColor: "#bb0000"});		}, -10, 10], {strokeColor: "#bb0000"});

	board1.createElement('functiongraph', [		board1.createElement('functiongraph', [
	function(t) {		function(t) {
	var val = 0, sv = s.Value()+1,		var val = 0, sv = s.Value()+1,
	k = 1;		k = 1;
	for(var i = 0; i < sv; i++) {		for(var i = 0; i < sv; i++) {
	val = val + Math.sin(2Math.PI(2k-1)t)/(2*k-1);		val = val + Math.sin(2Math.PI(2k-1)t)/(2*k-1);
	k += 1;		k += 1;
	}		}
	return val-2;		return val-2;
	}, -10, 10], {strokeColor: "#cc5520"});		}, -10, 10], {strokeColor: "#cc5520"});

	board1.unsuspendUpdate();		board1.unsuspendUpdate();

A WASSERMANN at 08:06, 20 September 2009

2009-09-20T08:06:56Z

← Older revision		Revision as of 08:06, 20 September 2009
Line 12:		Line 12:
	board1.createElement('functiongraph', [		board1.createElement('functiongraph', [
	function(t) {		function(t) {
	var val = 0;		var val = 0, sv = s.Value()+1,
	~~var~~ k = 1;		k = 1;
	for(var i = 0; i < ~~s.Value() + 1~~; i++) {		for(var i = 0; i < sv; i++) {
	val = val + Math.sin(2Math.PIk*t)/k;		val = val + Math.sin(2Math.PIk*t)/k;
	k += 1;		k += 1;
	}		}
	return val+2;		return val+2;
	}, -10, 10], {strokeColor: "#bb0000"});		}, -10, 10], {strokeColor: "#bb0000"});

	board1.createElement('functiongraph', [		board1.createElement('functiongraph', [
	function(t) {		function(t) {
	var val = 0;		var val = 0, sv = s.Value()+1,
	~~var~~ k = 1;		k = 1;
	for(var i = 0; i < ~~s.Value() + 1~~; i++) {		for(var i = 0; i < sv; i++) {
	val = val + Math.sin(2Math.PI(2k-1)t)/(2*k-1);		val = val + Math.sin(2Math.PI(2k-1)t)/(2*k-1);
	k += 1;		k += 1;
Line 42:		Line 42:
	board1.createElement('axis', [[0,0], [0,1]], {});		board1.createElement('axis', [[0,0], [0,1]], {});
	var s = board1.createElement('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S',snapWidth:1});		var s = board1.createElement('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S',snapWidth:1});
			board1.createElement('functiongraph', [
	board1.createElement('functiongraph', [		board1.createElement('functiongraph', [
	function(t) {		function(t) {
	var val = 0;		var val = 0, sv = s.Value()+1,
	~~var~~ k = 1;		k = 1;
	for(var i = 0; i < ~~s.Value() + 1~~; i++) {		for(var i = 0; i < sv; i++) {
	val = val + Math.sin(2Math.PIk*t)/k;		val = val + Math.sin(2Math.PIk*t)/k;
	k += 1;		k += 1;
	}		}
	return val+2;		return val+2;
	}, -10, 10], {strokeColor: "#bb0000"});		}, -10, 10], {strokeColor: "#bb0000"});

	board1.createElement('functiongraph', [		board1.createElement('functiongraph', [
	function(t) {		function(t) {
	var val = 0;		var val = 0, sv = s.Value()+1,
	~~var~~ k = 1;		k = 1;
	for(var i = 0; i < ~~s.Value() + 1~~; i++) {		for(var i = 0; i < sv; i++) {
	val = val + Math.sin(2Math.PI(2k-1)t)/(2*k-1);		val = val + Math.sin(2Math.PI(2k-1)t)/(2*k-1);
	k += 1;		k += 1;

A WASSERMANN at 17:03, 22 June 2009

2009-06-22T17:03:15Z

← Older revision		Revision as of 17:03, 22 June 2009
Line 9:		Line 9:
	board1.createElement('axis', [[0,0], [1,0]], {});		board1.createElement('axis', [[0,0], [1,0]], {});
	board1.createElement('axis', [[0,0], [0,1]], {});		board1.createElement('axis', [[0,0], [0,1]], {});
	var s = board1.createElement('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S'});		var s = board1.createElement('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S',snapWidth:1});
	board1.createElement('functiongraph', [		board1.createElement('functiongraph', [
	function(t) {		function(t) {
	var val = 0;		var val = 0;
	var k = 1;		var k = 1;
	for(var i = 0; i < ~~Math.floor(~~s.Value()) + 1; i++) {		for(var i = 0; i < s.Value() + 1; i++) {
	val = val + Math.sin(2Math.PIk*t)/k;		val = val + Math.sin(2Math.PIk*t)/k;
	k += 1;		k += 1;
Line 25:		Line 25:
	var val = 0;		var val = 0;
	var k = 1;		var k = 1;
	for(var i = 0; i < ~~Math.floor(~~s.Value()) + 1; i++) {		for(var i = 0; i < s.Value() + 1; i++) {
	val = val + Math.sin(2Math.PI(2k-1)t)/(2*k-1);		val = val + Math.sin(2Math.PI(2k-1)t)/(2*k-1);
	k += 1;		k += 1;
Line 41:		Line 41:
	board1.createElement('axis', [[0,0], [1,0]], {});		board1.createElement('axis', [[0,0], [1,0]], {});
	board1.createElement('axis', [[0,0], [0,1]], {});		board1.createElement('axis', [[0,0], [0,1]], {});
	var s = board1.createElement('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S'});		var s = board1.createElement('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S',snapWidth:1});
	board1.createElement('functiongraph', [		board1.createElement('functiongraph', [
	function(t) {		function(t) {
	var val = 0;		var val = 0;
	var k = 1;		var k = 1;
	for(var i = 0; i < ~~Math.floor(~~s.Value()) + 1; i++) {		for(var i = 0; i < s.Value() + 1; i++) {
	val = val + Math.sin(2Math.PIk*t)/k;		val = val + Math.sin(2Math.PIk*t)/k;
	k += 1;		k += 1;
Line 57:		Line 57:
	var val = 0;		var val = 0;
	var k = 1;		var k = 1;
	for(var i = 0; i < ~~Math.floor(~~s.Value()) + 1; i++) {		for(var i = 0; i < s.Value() + 1; i++) {
	val = val + Math.sin(2Math.PI(2k-1)t)/(2*k-1);		val = val + Math.sin(2Math.PI(2k-1)t)/(2*k-1);
	k += 1;		k += 1;

A WASSERMANN at 13:24, 4 June 2009

2009-06-04T13:24:46Z

← Older revision		Revision as of 13:24, 4 June 2009
Line 14:		Line 14:
	var val = 0;		var val = 0;
	var k = 1;		var k = 1;
	for(var i = 0; i < Math.floor(s.X()) + 1; i++) {		for(var i = 0; i < Math.floor(s.Value()) + 1; i++) {
	val = val + Math.sin(2Math.PIk*t)/k;		val = val + Math.sin(2Math.PIk*t)/k;
	k += 1;		k += 1;
Line 25:		Line 25:
	var val = 0;		var val = 0;
	var k = 1;		var k = 1;
	for(var i = 0; i < Math.floor(s.X()) + 1; i++) {		for(var i = 0; i < Math.floor(s.Value()) + 1; i++) {
	val = val + Math.sin(2Math.PI(2k-1)t)/(2*k-1);		val = val + Math.sin(2Math.PI(2k-1)t)/(2*k-1);
	k += 1;		k += 1;
Line 46:		Line 46:
	var val = 0;		var val = 0;
	var k = 1;		var k = 1;
	for(var i = 0; i < Math.floor(s.X()) + 1; i++) {		for(var i = 0; i < Math.floor(s.Value()) + 1; i++) {
	val = val + Math.sin(2Math.PIk*t)/k;		val = val + Math.sin(2Math.PIk*t)/k;
	k += 1;		k += 1;
Line 57:		Line 57:
	var val = 0;		var val = 0;
	var k = 1;		var k = 1;
	for(var i = 0; i < Math.floor(s.X()) + 1; i++) {		for(var i = 0; i < Math.floor(s.Value()) + 1; i++) {
	val = val + Math.sin(2Math.PI(2k-1)t)/(2*k-1);		val = val + Math.sin(2Math.PI(2k-1)t)/(2*k-1);
	k += 1;		k += 1;

A WASSERMANN at 14:09, 23 March 2009

2009-03-23T14:09:45Z

← Older revision		Revision as of 14:09, 23 March 2009
Line 9:		Line 9:
	board1.createElement('axis', [[0,0], [1,0]], {});		board1.createElement('axis', [[0,0], [1,0]], {});
	board1.createElement('axis', [[0,0], [0,1]], {});		board1.createElement('axis', [[0,0], [0,1]], {});
	var s = board1.createElement('slider', [[0.75,-2],[4,-2],[0,0,10]], {name:'S'});		var s = board1.createElement('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S'});
	board1.createElement('functiongraph', [		board1.createElement('functiongraph', [
	function(t) {		function(t) {
Line 41:		Line 41:
	board1.createElement('axis', [[0,0], [1,0]], {});		board1.createElement('axis', [[0,0], [1,0]], {});
	board1.createElement('axis', [[0,0], [0,1]], {});		board1.createElement('axis', [[0,0], [0,1]], {});
	var s = board1.createElement('slider', [[0.75,-2],[5,-2],[0,0,10]], {name:'S'});		var s = board1.createElement('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S'});
	board1.createElement('functiongraph', [		board1.createElement('functiongraph', [
	function(t) {		function(t) {

A WASSERMANN at 14:09, 23 March 2009

2009-03-23T14:09:29Z

← Older revision		Revision as of 14:09, 23 March 2009
Line 9:		Line 9:
	board1.createElement('axis', [[0,0], [1,0]], {});		board1.createElement('axis', [[0,0], [1,0]], {});
	board1.createElement('axis', [[0,0], [0,1]], {});		board1.createElement('axis', [[0,0], [0,1]], {});
	var s = board1.createElement('slider', [[0.75,-2],[5,-2],[0,0,10]], {name:'S'});		var s = board1.createElement('slider', [[0.75,-2],[4,-2],[0,0,10]], {name:'S'});
	board1.createElement('functiongraph', [		board1.createElement('functiongraph', [
	function(t) {		function(t) {