Power Series for sine and cosine - Revision history

A WASSERMANN at 15:42, 20 February 2013

2013-02-20T15:42:18Z

← Older revision		Revision as of 15:42, 20 February 2013
Line 11:		Line 11:
	var val = 0, i, sv = s.Value()+1;		var val = 0, i, sv = s.Value()+1;
	for(i = 0; i < sv; i++) {		for(i = 0; i < sv; i++) {
	val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / ~~board1~~.factorial(2*i+1);		val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / JXG.Math.factorial(2*i+1);
	}		}
	return val;		return val;
Line 28:		Line 28:
	var val = 0, i, sv = s.Value()+1;		var val = 0, i, sv = s.Value()+1;
	for(i = 0; i < sv; i++) {		for(i = 0; i < sv; i++) {
	val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / ~~board1~~.factorial(2*i+1);		val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / JXG.Math.factorial(2*i+1);
	}		}
	return val;		return val;
Line 46:		Line 46:
	var val = 0, i, sv = s2.Value()+1;		var val = 0, i, sv = s2.Value()+1;
	for(i = 0; i < sv; i++) {		for(i = 0; i < sv; i++) {
	val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / ~~board2~~.factorial(2*i);		val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / JXG.Math.factorial(2*i);
	}		}
	return val;		return val;
Line 63:		Line 63:
	var val = 0, i, sv = Math.floor(s2.Value())+1;		var val = 0, i, sv = Math.floor(s2.Value())+1;
	for(i = 0; i < sv; i++) {		for(i = 0; i < sv; i++) {
	val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / ~~board2~~.factorial(2*i);		val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / JXG.Math.factorial(2*i);
	}		}
	return val;		return val;

Michael at 11:53, 8 June 2011

2011-06-08T11:53:59Z

← Older revision		Revision as of 11:53, 8 June 2011
Line 5:		Line 5:
	board1 = JXG.JSXGraph.initBoard('jxgbox1', {axis:true, boundingbox: [-6, 3, 8, -3]});		board1 = JXG.JSXGraph.initBoard('jxgbox1', {axis:true, boundingbox: [-6, 3, 8, -3]});
	board1.suspendUpdate();		board1.suspendUpdate();
	board1.~~createElement~~('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"});		board1.create('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"});
	var s = board1.~~createElement~~('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'S',snapWidth:1});		var s = board1.create('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'S',snapWidth:1});
	board1.~~createElement~~('functiongraph', [		board1.create('functiongraph', [
	function(t) {		function(t) {
	var val = 0, i, sv = s.Value()+1;		var val = 0, i, sv = s.Value()+1;
Line 22:		Line 22:
	board1 = JXG.JSXGraph.initBoard('jxgbox1', {axis:true, boundingbox: [-6, 3, 8, -3]});		board1 = JXG.JSXGraph.initBoard('jxgbox1', {axis:true, boundingbox: [-6, 3, 8, -3]});
	board1.suspendUpdate();		board1.suspendUpdate();
	board1.~~createElement~~('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"});		board1.create('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"});
	var s = board1.~~createElement~~('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'S',snapWidth:1});		var s = board1.create('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'S',snapWidth:1});
	board1.~~createElement~~('functiongraph', [		board1.create('functiongraph', [
	function(t) {		function(t) {
	var val = 0, i, sv = s.Value()+1;		var val = 0, i, sv = s.Value()+1;
Line 37:		Line 37:

	== Power Series for Cosine ==		== Power Series for Cosine ==
	<jsxgraph box="~~jxgbox1~~" width="700" height="300">		<jsxgraph box="jxgbox2" width="700" height="300">
	board2 = JXG.JSXGraph.initBoard('jxgbox2', {axis:true, boundingbox: [-6, 3, 8, -3]});		board2 = JXG.JSXGraph.initBoard('jxgbox2', {axis:true, boundingbox: [-6, 3, 8, -3]});
	board2.suspendUpdate();		board2.suspendUpdate();
	board2.~~createElement~~('functiongraph', [function(t){ return Math.cos(t); }, -10, 10],{strokeColor: "#cccccc"});		board2.create('functiongraph', [function(t){ return Math.cos(t); }, -10, 10],{strokeColor: "#cccccc"});
	var s2 = board2.~~createElement~~('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'T',snapWidth:1});		var s2 = board2.create('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'T',snapWidth:1});
	board2.~~createElement~~('functiongraph', [		board2.create('functiongraph', [
	function(t) {		function(t) {
	var val = 0, i, sv = s2.Value()+1;		var val = 0, i, sv = s2.Value()+1;
Line 57:		Line 57:
	board2 = JXG.JSXGraph.initBoard('jxgbox2', {axis:true, boundingbox: [-6, 3, 8, -3]});		board2 = JXG.JSXGraph.initBoard('jxgbox2', {axis:true, boundingbox: [-6, 3, 8, -3]});
	board2.suspendUpdate();		board2.suspendUpdate();
	board2.~~createElement~~('functiongraph', [function(t){ return Math.cos(t); }, -10, 10],{strokeColor: "#cccccc"});		board2.create('functiongraph', [function(t){ return Math.cos(t); }, -10, 10],{strokeColor: "#cccccc"});
	var s2 = board2.~~createElement~~('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'T',snapWidth:1});		var s2 = board2.create('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'T',snapWidth:1});
	board2.~~createElement~~('functiongraph', [		board2.create('functiongraph', [
	function(t) {		function(t) {
	var val = 0, i, sv = Math.floor(s2.Value())+1;		var val = 0, i, sv = Math.floor(s2.Value())+1;

Michael at 11:52, 8 June 2011

2011-06-08T11:52:54Z

← Older revision		Revision as of 11:52, 8 June 2011
Line 2:		Line 2:
	:<math>\sum_{k=0}^n (-1)^k\frac{1}{(2k+1)!}x^{2k+1}</math>		:<math>\sum_{k=0}^n (-1)^k\frac{1}{(2k+1)!}x^{2k+1}</math>

	<~~html>~~		<jsxgraph box="jxgbox1" width="700" height="300">
	~~<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" />~~		board1 = JXG.JSXGraph.initBoard('jxgbox1', {axis:true, boundingbox: [-6, 3, 8, -3]});
	~~<script type="text/javascript" src="http://~~jsxgraph~~.uni-bayreuth.de/distrib/jsxgraphcore.js"></script>~~
	~~<div id~~="jxgbox1" ~~class~~="~~jxgbox" style=~~"~~width:700px;~~ height~~:300px;"></div>~~
	~~<script language~~="~~JavaScript~~">
	~~// Board~~
	board1 = JXG.JSXGraph.initBoard('jxgbox1', {axis:true, ~~originX~~: ~~300~~, ~~originY: 150~~, ~~unitX: 50~~, ~~unitY: 50~~});
	board1.suspendUpdate();		board1.suspendUpdate();
	board1.createElement('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"});		board1.createElement('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"});
Line 22:		Line 17:
	-10, 10], {strokeColor: "#bb0000"});		-10, 10], {strokeColor: "#bb0000"});
	board1.unsuspendUpdate();		board1.unsuspendUpdate();
	/*		</jsxgraph>
	*/
	~~</script>~~
	~~</html>~~
	~~<source lang="html4strict">~~
	<~~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>~~
	~~<div id="jxgbox1" class="jxgbox" style="width:700px; height:600px;"></div>~~
	~~</source~~>

	<source lang="javascript">		<source lang="javascript">
	board1 = JXG.JSXGraph.initBoard('jxgbox1', {axis:true, ~~originX~~: ~~300~~, ~~originY: 150~~, ~~unitX: 50~~, ~~unitY: 50~~});		board1 = JXG.JSXGraph.initBoard('jxgbox1', {axis:true, boundingbox: [-6, 3, 8, -3]});
	board1.suspendUpdate();		board1.suspendUpdate();
	board1.createElement('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"});		board1.createElement('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"});
Line 50:		Line 37:

	== Power Series for Cosine ==		== Power Series for Cosine ==
	<~~html>~~		<jsxgraph box="jxgbox1" width="700" height="300">
	~~<div id~~="~~jxgbox2~~" ~~class~~="~~jxgbox" style=~~"~~width:700px;~~ height~~:300px;"></div>~~		board2 = JXG.JSXGraph.initBoard('jxgbox2', {axis:true, boundingbox: [-6, 3, 8, -3]});
	~~<script language~~="~~JavaScript~~">
	~~// Board~~
	board2 = JXG.JSXGraph.initBoard('jxgbox2', {axis:true, ~~originX~~: ~~300~~, ~~originY: 150~~, ~~unitX: 50~~, ~~unitY: 50~~});
	board2.suspendUpdate();		board2.suspendUpdate();
	board2.createElement('functiongraph', [function(t){ return Math.cos(t); }, -10, 10],{strokeColor: "#cccccc"});		board2.createElement('functiongraph', [function(t){ return Math.cos(t); }, -10, 10],{strokeColor: "#cccccc"});
Line 68:		Line 52:
	-10, 10],{strokeColor: "#009900"});		-10, 10],{strokeColor: "#009900"});
	board2.unsuspendUpdate();		board2.unsuspendUpdate();
	</~~script>~~		</jsxgraph>
	~~</html~~>

	<source lang="javascript">		<source lang="javascript">
	board2 = JXG.JSXGraph.initBoard('jxgbox2', {axis:true, ~~originX~~: ~~300~~, ~~originY: 150~~, ~~unitX: 50~~, ~~unitY: 50~~});		board2 = JXG.JSXGraph.initBoard('jxgbox2', {axis:true, boundingbox: [-6, 3, 8, -3]});
	board2.suspendUpdate();		board2.suspendUpdate();
	board2.createElement('functiongraph', [function(t){ return Math.cos(t); }, -10, 10],{strokeColor: "#cccccc"});		board2.createElement('functiongraph', [function(t){ return Math.cos(t); }, -10, 10],{strokeColor: "#cccccc"});

A WASSERMANN at 15:13, 29 October 2009

2009-10-29T15:13:12Z

← Older revision		Revision as of 15:13, 29 October 2009
Line 4:		Line 4:
	<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:700px; height:300px;"></div>		<div id="jxgbox1" class="jxgbox" style="width:700px; height:300px;"></div>
Line 29:		Line 28:
	<source lang="html4strict">		<source lang="html4strict">
	<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:700px; height:600px;"></div>		<div id="jxgbox1" class="jxgbox" style="width:700px; height:600px;"></div>

A WASSERMANN at 15:52, 18 September 2009

2009-09-18T15:52:17Z

← Older revision		Revision as of 15:52, 18 September 2009
Line 15:		Line 15:
	board1.createElement('functiongraph', [		board1.createElement('functiongraph', [
	function(t) {		function(t) {
	var val = 0;		var val = 0, i, sv = s.Value()+1;
	for(~~var~~ i = 0; i < ~~s.Value() + 1~~; i++) {		for(i = 0; i < sv; i++) {
	val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / board1.factorial(2*i+1);		val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / board1.factorial(2*i+1);
	}		}
Line 41:		Line 41:
	board1.createElement('functiongraph', [		board1.createElement('functiongraph', [
	function(t) {		function(t) {
	var val = 0;		var val = 0, i, sv = s.Value()+1;
	for(~~var~~ i = 0; i < ~~s.Value()+1~~; i++) {		for(i = 0; i < sv; i++) {
	val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / board1.factorial(2*i+1);		val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / board1.factorial(2*i+1);
	}		}
Line 62:		Line 62:
	board2.createElement('functiongraph', [		board2.createElement('functiongraph', [
	function(t) {		function(t) {
	var val = 0;		var val = 0, i, sv = s2.Value()+1;
	for(~~var~~ i = 0; i < ~~s2.Value() + 1~~; i++) {		for(i = 0; i < sv; i++) {
	val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / board2.factorial(2*i);		val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / board2.factorial(2*i);
	}		}
Line 80:		Line 80:
	board2.createElement('functiongraph', [		board2.createElement('functiongraph', [
	function(t) {		function(t) {
	var val = 0;		var val = 0, i, sv = Math.floor(s2.Value())+1;
	~~for(var~~ i = ~~0; i <~~ Math.floor(s2.Value()) + 1; i++) {		for(i = 0; i < sv; i++) {
	val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / board2.factorial(2*i);		val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / board2.factorial(2*i);
	}		}

A WASSERMANN at 13:45, 9 July 2009

2009-07-09T13:45:47Z

← Older revision		Revision as of 13:45, 9 July 2009
Line 1:		Line 1:
	== Power Series for Sine ==		== Power Series for Sine ==
	~~<source lang="html4strict">~~		:<math>\sum_{k=0}^n (-1)^k\frac{1}{(2k+1)!}x^{2k+1}</math>
	~~<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>~~
	~~<div id="jxgbox1" class="jxgbox" style="width:700px; height:600px;"></div>~~
	~~</source>~~

	~~<source lang="javascript">~~
	~~board1 = JXG.JSXGraph.initBoard('jxgbox1', {axis:true, originX: 300, originY: 150, unitX: 50, unitY: 50~~});
	~~board1.suspendUpdate();~~
	~~board1.createElement('functiongraph', [function(t){ return Math.sin~~(~~t); },~~-~~10, 10],{strokeColor: "#cccccc"}~~);
	~~var s = board1.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]],~~ {~~name:'S',snapWidth:~~1});
	~~board1.createElement('functiongraph', [~~
	~~function(t)~~ {
	~~var val = 0;~~
	~~for(var i = 0; i < s.Value~~()+1~~; i++~~) {
	~~val = val~~ + ~~Math.pow(-~~1~~, i) * Math.pow(t, 2 * i + 1) / board1.factorial(2*i+1);~~
	}
	~~return val;~~
	~~}, -10, 10], {strokeColor: "#bb0000"});~~
	~~board1.unsuspendUpdate();~~
	</~~source~~>

	<html>		<html>
Line 48:		Line 27:
	</script>		</script>
	</html>		</html>
			<source lang="html4strict">
			<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>
			<div id="jxgbox1" class="jxgbox" style="width:700px; height:600px;"></div>
			</source>

	~~== Power Series for Cosine ==~~
	<source lang="javascript">		<source lang="javascript">
	~~board2~~ = JXG.JSXGraph.initBoard('~~jxgbox2~~', {axis:true, originX: 300, originY: 150, unitX: 50, unitY: 50});		board1 = JXG.JSXGraph.initBoard('jxgbox1', {axis:true, originX: 300, originY: 150, unitX: 50, unitY: 50});
	~~board2~~.suspendUpdate();		board1.suspendUpdate();
	~~board2~~.createElement('functiongraph', [function(t){ return Math.~~cos~~(t); }, -10, 10],{strokeColor: "#cccccc"});		board1.createElement('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"});
	var s2 = ~~board2~~.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'T',snapWidth:1});		var s = board1.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'S',snapWidth:1});
	~~board2~~.createElement('functiongraph', [		board1.createElement('functiongraph', [
	function(t) {		function(t) {
	var val = 0;		var val = 0;
	for(var i = 0; i < ~~Math.floor(s2~~.Value()) + 1; i++) {		for(var i = 0; i < s.Value()+1; i++) {
	val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / ~~board2~~.factorial(2*i);		val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / board1.factorial(2*i+1);
	}		}
	return val;		return val;
	}, -10, 10],{strokeColor: "#~~009900~~"});		}, -10, 10], {strokeColor: "#bb0000"});
	~~board2~~.unsuspendUpdate();		board1.unsuspendUpdate();
	</source>		</source>


			== Power Series for Cosine ==
	<html>		<html>
	<div id="jxgbox2" class="jxgbox" style="width:700px; height:300px;"></div>		<div id="jxgbox2" class="jxgbox" style="width:700px; height:300px;"></div>
Line 85:		Line 72:
	</script>		</script>
	</html>		</html>

			<source lang="javascript">
			board2 = JXG.JSXGraph.initBoard('jxgbox2', {axis:true, originX: 300, originY: 150, unitX: 50, unitY: 50});
			board2.suspendUpdate();
			board2.createElement('functiongraph', [function(t){ return Math.cos(t); }, -10, 10],{strokeColor: "#cccccc"});
			var s2 = board2.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'T',snapWidth:1});
			board2.createElement('functiongraph', [
			function(t) {
			var val = 0;
			for(var i = 0; i < Math.floor(s2.Value()) + 1; i++) {
			val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / board2.factorial(2*i);
			}
			return val;
			}, -10, 10],{strokeColor: "#009900"});
			board2.unsuspendUpdate();
			</source>

	=== References ===		=== References ===

A WASSERMANN at 17:00, 22 June 2009

2009-06-22T17:00:37Z

← Older revision		Revision as of 17:00, 22 June 2009
Line 4:		Line 4:
	<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/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:600px;"></div>		<div id="jxgbox1" class="jxgbox" style="width:700px; height:600px;"></div>
	</source>		</source>

Line 27:		Line 27:
	<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/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:300px;"></div>		<div id="jxgbox1" class="jxgbox" style="width:700px; height:300px;"></div>
	<script language="JavaScript">		<script language="JavaScript">
	// Board		// Board
Line 54:		Line 54:
	board2.suspendUpdate();		board2.suspendUpdate();
	board2.createElement('functiongraph', [function(t){ return Math.cos(t); }, -10, 10],{strokeColor: "#cccccc"});		board2.createElement('functiongraph', [function(t){ return Math.cos(t); }, -10, 10],{strokeColor: "#cccccc"});
	var s2 = board2.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'T'});		var s2 = board2.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'T',snapWidth:1});
	board2.createElement('functiongraph', [		board2.createElement('functiongraph', [
	function(t) {		function(t) {
Line 66:		Line 66:
	</source>		</source>
	<html>		<html>
	<div id="jxgbox2" class="jxgbox" style="width:~~600px~~; height:300px;"></div>		<div id="jxgbox2" class="jxgbox" style="width:700px; height:300px;"></div>
	<script language="JavaScript">		<script language="JavaScript">
	// Board		// Board

A WASSERMANN at 16:59, 22 June 2009

2009-06-22T16:59:09Z

← Older revision		Revision as of 16:59, 22 June 2009
Line 11:		Line 11:
	board1.suspendUpdate();		board1.suspendUpdate();
	board1.createElement('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"});		board1.createElement('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"});
	var s = board1.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'S'});		var s = board1.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'S',snapWidth:1});
	board1.createElement('functiongraph', [		board1.createElement('functiongraph', [
	function(t) {		function(t) {
	var val = 0;		var val = 0;
	for(var i = 0; i < ~~Math.floor(~~s.Value()) + 1; i++) {		for(var i = 0; i < s.Value()+1; i++) {
	val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / board1.factorial(2*i+1);		val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / board1.factorial(2*i+1);
	}		}
Line 33:		Line 33:
	board1.suspendUpdate();		board1.suspendUpdate();
	board1.createElement('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"});		board1.createElement('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"});
	var s = board1.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'S'});		var s = board1.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'S',snapWidth:1});
	board1.createElement('functiongraph', [		board1.createElement('functiongraph', [
	function(t) {		function(t) {
	var val = 0;		var val = 0;
	for(var i = 0; i < ~~Math.floor(~~s.Value()) + 1; i++) {		for(var i = 0; i < s.Value() + 1; i++) {
	val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / board1.factorial(2*i+1);		val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / board1.factorial(2*i+1);
	}		}
Line 72:		Line 72:
	board2.suspendUpdate();		board2.suspendUpdate();
	board2.createElement('functiongraph', [function(t){ return Math.cos(t); }, -10, 10],{strokeColor: "#cccccc"});		board2.createElement('functiongraph', [function(t){ return Math.cos(t); }, -10, 10],{strokeColor: "#cccccc"});
	var s2 = board2.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'T'});		var s2 = board2.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'T',snapWidth:1});
	board2.createElement('functiongraph', [		board2.createElement('functiongraph', [
	function(t) {		function(t) {
	var val = 0;		var val = 0;
	for(var i = 0; i < ~~Math.floor(~~s2.Value()) + 1; i++) {		for(var i = 0; i < s2.Value() + 1; i++) {
	val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / board2.factorial(2*i);		val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / board2.factorial(2*i);
	}		}

A WASSERMANN at 13:22, 4 June 2009

2009-06-04T13:22:06Z

← Older revision		Revision as of 13:22, 4 June 2009
Line 15:		Line 15:
	function(t) {		function(t) {
	var val = 0;		var val = 0;
	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.pow(-1, i) * Math.pow(t, 2 * i + 1) / board1.factorial(2*i+1);		val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / board1.factorial(2*i+1);
	}		}
Line 37:		Line 37:
	function(t) {		function(t) {
	var val = 0;		var val = 0;
	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.pow(-1, i) * Math.pow(t, 2 * i + 1) / board1.factorial(2*i+1);		val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / board1.factorial(2*i+1);
	}		}
Line 58:		Line 58:
	function(t) {		function(t) {
	var val = 0;		var val = 0;
	for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {		for(var i = 0; i < Math.floor(s2.Value()) + 1; i++) {
	val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / board2.factorial(2*i);		val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / board2.factorial(2*i);
	}		}
Line 76:		Line 76:
	function(t) {		function(t) {
	var val = 0;		var val = 0;
	for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {		for(var i = 0; i < Math.floor(s2.Value()) + 1; i++) {
	val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / board2.factorial(2*i);		val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / board2.factorial(2*i);
	}		}

A WASSERMANN at 16:12, 18 March 2009

2009-03-18T16:12:16Z

← Older revision		Revision as of 16:12, 18 March 2009
Line 11:		Line 11:
	board1.suspendUpdate();		board1.suspendUpdate();
	board1.createElement('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"});		board1.createElement('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"});
	var s = board1.createElement('slider', [[0.75,-2.5],[5.75,-2.5],[0,0,10]], {name:'S'});		var s = board1.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'S'});
	board1.createElement('functiongraph', [		board1.createElement('functiongraph', [
	function(t) {		function(t) {
Line 33:		Line 33:
	board1.suspendUpdate();		board1.suspendUpdate();
	board1.createElement('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"});		board1.createElement('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"});
	var s = board1.createElement('slider', [[0.75,-2.5],[5.75,-2.5],[0,0,10]], {name:'S'});		var s = board1.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'S'});
	board1.createElement('functiongraph', [		board1.createElement('functiongraph', [
	function(t) {		function(t) {
Line 51:		Line 51:
	== Power Series for Cosine ==		== Power Series for Cosine ==
	<source lang="javascript">		<source lang="javascript">
	board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 50, unitY: 50});		board2 = JXG.JSXGraph.initBoard('jxgbox2', {axis:true, originX: 300, originY: 150, unitX: 50, unitY: 50});
	board2.suspendUpdate();		board2.suspendUpdate();
	~~board2.createElement('axis', [[0,0], [1,0]], {});~~
	~~board2.createElement('axis', [[0,0], [0,1]], {});~~
	board2.createElement('functiongraph', [function(t){ return Math.cos(t); }, -10, 10],{strokeColor: "#cccccc"});		board2.createElement('functiongraph', [function(t){ return Math.cos(t); }, -10, 10],{strokeColor: "#cccccc"});
	var s2 = board2.createElement('slider', [[0.75,-2.5],[5.75,-2.5],[0,0,10]], {name:'T'});		var s2 = board2.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'T'});
	board2.createElement('functiongraph', [		board2.createElement('functiongraph', [
	function(t) {		function(t) {
Line 71:		Line 69:
	<script language="JavaScript">		<script language="JavaScript">
	// Board		// Board
	board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 50, unitY: 50});		board2 = JXG.JSXGraph.initBoard('jxgbox2', {axis:true, originX: 300, originY: 150, unitX: 50, unitY: 50});
	board2.suspendUpdate();		board2.suspendUpdate();
	~~// Axes and Properties~~
	~~board2.createElement('axis', [[0,0], [1,0]], {});~~
	~~board2.createElement('axis', [[0,0], [0,1]], {});~~
	board2.createElement('functiongraph', [function(t){ return Math.cos(t); }, -10, 10],{strokeColor: "#cccccc"});		board2.createElement('functiongraph', [function(t){ return Math.cos(t); }, -10, 10],{strokeColor: "#cccccc"});
	var s2 = board2.createElement('slider', [[0.75,-2.5],[5.75,-2.5],[0,0,10]], {name:'T'});		var s2 = board2.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'T'});
	board2.createElement('functiongraph', [		board2.createElement('functiongraph', [
	function(t) {		function(t) {