Power series for the exponential function - Revision history

A WASSERMANN at 15:44, 20 February 2013

2013-02-20T15:44:37Z

← Older revision		Revision as of 15:44, 20 February 2013
Line 15:		Line 15:
	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+= 1.0/~~board1~~.factorial(i);		val+= 1.0/JXG.Math.factorial(i);
	}		}
	return 'e~'+~~board1~~.~~round~~(~~val,~~10);		return 'e~'+(val).toFixed(10);
	}		}
	]);		]);
Line 25:		Line 25:
	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+= Math.pow(t,i)/~~board1~~.factorial(i);		val+= Math.pow(t,i)/JXG.Math.factorial(i);
	}		}
	return val;		return val;
Line 54:		Line 54:
	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+= 1.0/~~board1~~.factorial(i);		val+= 1.0/JXG.Math.factorial(i);
	}		}
	return 'e~'+~~board1~~.~~round~~(~~val,~~10);		return 'e~'+(val).toFixed(10);
	}		}
	]);		]);
Line 64:		Line 64:
	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+= Math.pow(t,i)/~~board1~~.factorial(i);		val+= Math.pow(t,i)/JXG.Math.factorial(i);
	}		}
	return val;		return val;

Michael at 11:55, 8 June 2011

2011-06-08T11:55:52Z

← Older revision		Revision as of 11:55, 8 June 2011
Line 1:		Line 1:
	<jsxgraph width="600" height="400" box="jxgbox1">		<jsxgraph width="600" height="400" box="jxgbox1">
	board1 = JXG.JSXGraph.initBoard('jxgbox1', {~~originX~~: ~~300~~, ~~originY: 250~~, ~~unitX: 50~~, ~~unitY~~: 10});		board1 = JXG.JSXGraph.initBoard('jxgbox1', {boundingbox: [-6, 25, 6, -15], axis: true});
	board1.suspendUpdate();		board1.suspendUpdate();
	~~board1.create('axis', [[0,0], [1,0]], {});~~
	~~board1.create('axis', [[0,0], [0,1]], {});~~

	board1.create('functiongraph',		board1.create('functiongraph',
Line 41:		Line 39:

	<source lang="javascript">		<source lang="javascript">
	board1 = JXG.JSXGraph.initBoard('jxgbox1', {~~originX~~: ~~300~~, ~~originY: 250~~, ~~unitX: 50~~, ~~unitY~~: 10});		board1 = JXG.JSXGraph.initBoard('jxgbox1', {boundingbox: [-6, 25, 6, -15], axis: true});
	board1.suspendUpdate();		board1.suspendUpdate();
	~~board1.create('axis', [[0,0], [1,0]], {});~~
	~~board1.create('axis', [[0,0], [0,1]], {});~~

	board1.create('functiongraph',		board1.create('functiongraph',

A WASSERMANN at 16:01, 25 March 2011

2011-03-25T16:01:16Z

← Older revision		Revision as of 16:01, 25 March 2011
Line 1:		Line 1:
	<jsxgraph width="600" height="400" box="jxgbox1">		<jsxgraph width="600" height="400" box="jxgbox1">
	~~// Board~~
	board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 250, unitX: 50, unitY: 10});		board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 250, unitX: 50, unitY: 10});
	board1.suspendUpdate();		board1.suspendUpdate();
	~~// Axes and Properties~~		board1.create('axis', [[0,0], [1,0]], {});
	board1.~~createElement~~('axis', [[0,0], [1,0]], {});		board1.create('axis', [[0,0], [0,1]], {});
	board1.~~createElement~~('axis', [[0,0], [0,1]], {});
	//		board1.create('functiongraph',
	board1.~~createElement~~('functiongraph',
	[function(t){ return Math.exp(t); },-10, 10],		[function(t){ return Math.exp(t); },-10, 10],
	{strokeColor: "#cccccc"});		{strokeColor: "#cccccc"});
	//
	var s = board1.~~createElement~~('slider', [[0.75,-2],[5,-2.0],[0,0,15]], {name:'S',snapWidth:1});		var s = board1.create('slider', [[0.75,-2],[5,-2.0],[0,0,15]], {name:'S',snapWidth:1});
	board1.~~createElement~~('text',[-4,10, function() {		board1.create('text',[-4,10, function() {
	return 'n='+s.Value();		return 'n='+s.Value();
	}		}
	]);		]);
	board1.~~createElement~~('text',[-4,8, function() {		board1.create('text',[-4,8, function() {
	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++) {
Line 24:		Line 22:
	}		}
	]);		]);
	//
	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 43:		Line 41:

	<source lang="javascript">		<source lang="javascript">
	~~// Board~~
	board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 250, unitX: 50, unitY: 10});		board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 250, unitX: 50, unitY: 10});
	board1.suspendUpdate();		board1.suspendUpdate();
	~~// Axes and Properties~~		board1.create('axis', [[0,0], [1,0]], {});
	board1.~~createElement~~('axis', [[0,0], [1,0]], {});		board1.create('axis', [[0,0], [0,1]], {});
	board1.~~createElement~~('axis', [[0,0], [0,1]], {});
	//		board1.create('functiongraph',
	board1.~~createElement~~('functiongraph',		[function(t){ return Math.exp(t); },-10, 10],
	[function(t){ return Math.exp(t); }, -10, 10],		{strokeColor: "#cccccc"});
	{strokeColor: "#cccccc"});
	var s = board1.~~createElement~~('slider', [[0.75,-2],[5,-2.0],[0,0,15]], {name:'S',snapWidth:1});		var s = board1.create('slider', [[0.75,-2],[5,-2.0],[0,0,15]], {name:'S',snapWidth:1});
	board1.~~createElement~~('text',[-4,10, function() {		board1.create('text',[-4,10, function() {
	return 'n='+s.Value();		return 'n='+s.Value();
	}]);		}
	board1.~~createElement~~('text',[-4,8, function() {		]);
			board1.create('text',[-4,8, function() {
	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++) {
Line 63:		Line 61:
	}		}
	return 'e~'+board1.round(val,10);		return 'e~'+board1.round(val,10);
	}]);		}
	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;

A WASSERMANN at 16:00, 25 March 2011

2011-03-25T16:00:01Z

← Older revision		Revision as of 16:00, 25 March 2011
Line 1:		Line 1:
	<jsxgraph width="600" height="400" box="~~jxgbox~~">		<jsxgraph width="600" height="400" box="jxgbox1">
	// Board		// Board
	board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 250, unitX: 50, unitY: 10});		board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 250, unitX: 50, unitY: 10});

A WASSERMANN at 15:59, 25 March 2011

2011-03-25T15:59:42Z

← Older revision		Revision as of 15:59, 25 March 2011
Line 1:		Line 1:
	<~~html>~~		<jsxgraph width="600" height="400" box="jxgbox">
	~~<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:600px; height:400px;"></div>~~
	~~<script language="JavaScript~~">
	// Board		// Board
	board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 250, unitX: 50, unitY: 10});		board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 250, unitX: 50, unitY: 10});
Line 39:		Line 35:
	-10, 10], {strokeColor: "#bb0000", curveType:'plot'});		-10, 10], {strokeColor: "#bb0000", curveType:'plot'});
	board1.unsuspendUpdate();		board1.unsuspendUpdate();
	</~~script>~~		</jsxgraph>
	~~</html~~>

	=== References ===		=== References ===
Line 46:		Line 41:

	=== The underlying JavaScript code ===		=== The underlying JavaScript code ===

	~~<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:600px; height:400px;"></div>~~
	~~</source>~~

	<source lang="javascript">		<source lang="javascript">

A WASSERMANN at 17:22, 29 October 2009

2009-10-29T17:22:20Z

← Older revision		Revision as of 17:22, 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:400px;"></div>		<div id="jxgbox1" class="jxgbox" style="width:600px; height:400px;"></div>
Line 50:		Line 49:
	<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:600px; height:400px;"></div>		<div id="jxgbox1" class="jxgbox" style="width:600px; height:400px;"></div>

A WASSERMANN at 15:53, 18 September 2009

2009-09-18T15:53:59Z

← Older revision		Revision as of 15:53, 18 September 2009
Line 22:		Line 22:
	]);		]);
	board1.createElement('text',[-4,8, function() {		board1.createElement('text',[-4,8, function() {
	var val = 0;		var val = 0, i, sv = s.Value()+1;
	for(~~var~~ i=0;i<~~= s.Value()~~; i++) {		for(i = 0; i < sv; i++) {
	val+= 1.0/board1.factorial(i);		val+= 1.0/board1.factorial(i);
	}		}
Line 32:		Line 32:
	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()~~; i++) {		for(i = 0; i < sv; i++) {
	val+= Math.pow(t,i)/board1.factorial(i);		val+= Math.pow(t,i)/board1.factorial(i);
	}		}
Line 71:		Line 71:
	}]);		}]);
	board1.createElement('text',[-4,8, function() {		board1.createElement('text',[-4,8, function() {
	var val = 0;		var val = 0, i, sv = s.Value()+1;
	for(~~var~~ i=0;i<~~= s.Value()~~; i++) {		for(i = 0; i < sv; i++) {
	val+= 1.0/board1.factorial(i);		val+= 1.0/board1.factorial(i);
	}		}
Line 79:		Line 79:
	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()~~; i++) {		for(i = 0; i < sv; i++) {
	val+= Math.pow(t,i)/board1.factorial(i);		val+= Math.pow(t,i)/board1.factorial(i);
	}		}

A WASSERMANN at 17:06, 22 June 2009

2009-06-22T17:06:59Z

← Older revision		Revision as of 17:06, 22 June 2009
Line 3:		Line 3:
	<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:600px; height:400px;"></div>
	<script language="JavaScript">		<script language="JavaScript">
	// Board		// Board
Line 16:		Line 16:
	{strokeColor: "#cccccc"});		{strokeColor: "#cccccc"});
	//		//
	var s = board1.createElement('slider', [[0.75,-2],[5,-2.0],[0,0,15]], {name:'S'});		var s = board1.createElement('slider', [[0.75,-2],[5,-2.0],[0,0,15]], {name:'S',snapWidth:1});
	board1.createElement('text',[-4,10, function() {		board1.createElement('text',[-4,10, function() {
	return 'n='+~~Math.floor(~~s.Value());		return 'n='+s.Value();
	}		}
	]);		]);
	board1.createElement('text',[-4,8, function() {		board1.createElement('text',[-4,8, function() {
	var val = 0;		var val = 0;
	for(var i=0;i<= ~~Math.floor(~~s.Value()); i++) {		for(var i=0;i<= s.Value(); i++) {
	val+= 1.0/board1.factorial(i);		val+= 1.0/board1.factorial(i);
	}		}
Line 33:		Line 33:
	function(t) {		function(t) {
	var val = 0;		var val = 0;
	for(var i=0;i<= ~~Math.floor(~~s.Value()); i++) {		for(var i=0;i<= s.Value(); i++) {
	val+= Math.pow(t,i)/board1.factorial(i);		val+= Math.pow(t,i)/board1.factorial(i);
	}		}
Line 52:		Line 52:
	<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:600px; height:400px;"></div>
	</source>		</source>

Line 66:		Line 66:
	[function(t){ return Math.exp(t); }, -10, 10],		[function(t){ return Math.exp(t); }, -10, 10],
	{strokeColor: "#cccccc"});		{strokeColor: "#cccccc"});
	var s = board1.createElement('slider', [[0.75,-2],[5,-2.0],[0,0,15]], {name:'S'});		var s = board1.createElement('slider', [[0.75,-2],[5,-2.0],[0,0,15]], {name:'S',snapWidth:1});
	board1.createElement('text',[-4,10, function() {		board1.createElement('text',[-4,10, function() {
	return 'n='+~~Math.floor(~~s.Value());		return 'n='+s.Value();
	}]);		}]);
	board1.createElement('text',[-4,8, function() {		board1.createElement('text',[-4,8, function() {
	var val = 0;		var val = 0;
	for(var i=0;i<= ~~Math.floor(~~s.Value()); i++) {		for(var i=0;i<= s.Value(); i++) {
	val+= 1.0/board1.factorial(i);		val+= 1.0/board1.factorial(i);
	}		}
Line 80:		Line 80:
	function(t) {		function(t) {
	var val = 0;		var val = 0;
	for(var i=0;i<= ~~Math.floor(~~s.Value()); i++) {		for(var i=0;i<= s.Value(); i++) {
	val+= Math.pow(t,i)/board1.factorial(i);		val+= Math.pow(t,i)/board1.factorial(i);
	}		}

A WASSERMANN at 13:30, 4 June 2009

2009-06-04T13:30:37Z

← Older revision		Revision as of 13:30, 4 June 2009
Line 18:		Line 18:
	var s = board1.createElement('slider', [[0.75,-2],[5,-2.0],[0,0,15]], {name:'S'});		var s = board1.createElement('slider', [[0.75,-2],[5,-2.0],[0,0,15]], {name:'S'});
	board1.createElement('text',[-4,10, function() {		board1.createElement('text',[-4,10, function() {
	return 'n='+Math.floor(s.X());		return 'n='+Math.floor(s.Value());
	}		}
	]);		]);
	board1.createElement('text',[-4,8, function() {		board1.createElement('text',[-4,8, function() {
	var val = 0;		var val = 0;
	for(var i=0;i<= Math.floor(s.X()); i++) {		for(var i=0;i<= Math.floor(s.Value()); i++) {
	val+= 1.0/board1.factorial(i);		val+= 1.0/board1.factorial(i);
	}		}
Line 33:		Line 33:
	function(t) {		function(t) {
	var val = 0;		var val = 0;
	for(var i=0;i<= Math.floor(s.X()); i++) {		for(var i=0;i<= Math.floor(s.Value()); i++) {
	val+= Math.pow(t,i)/board1.factorial(i);		val+= Math.pow(t,i)/board1.factorial(i);
	}		}
Line 68:		Line 68:
	var s = board1.createElement('slider', [[0.75,-2],[5,-2.0],[0,0,15]], {name:'S'});		var s = board1.createElement('slider', [[0.75,-2],[5,-2.0],[0,0,15]], {name:'S'});
	board1.createElement('text',[-4,10, function() {		board1.createElement('text',[-4,10, function() {
	return 'n='+Math.floor(s.X());		return 'n='+Math.floor(s.Value());
	}]);		}]);
	board1.createElement('text',[-4,8, function() {		board1.createElement('text',[-4,8, function() {
	var val = 0;		var val = 0;
	for(var i=0;i<= Math.floor(s.X()); i++) {		for(var i=0;i<= Math.floor(s.Value()); i++) {
	val+= 1.0/board1.factorial(i);		val+= 1.0/board1.factorial(i);
	}		}
Line 80:		Line 80:
	function(t) {		function(t) {
	var val = 0;		var val = 0;
	for(var i=0;i<= Math.floor(s.X()); i++) {		for(var i=0;i<= Math.floor(s.Value()); i++) {
	val+= Math.pow(t,i)/board1.factorial(i);		val+= Math.pow(t,i)/board1.factorial(i);
	}		}

A WASSERMANN at 17:36, 23 March 2009

2009-03-23T17:36:26Z

← Older revision		Revision as of 17:36, 23 March 2009
Line 21:		Line 21:
	}		}
	]);		]);
	/*
	board1.createElement('text',[-4,8, function() {		board1.createElement('text',[-4,8, function() {
	var val = 0;		var val = 0;
Line 28:		Line 27:
	}		}
	return 'e~'+board1.round(val,10);		return 'e~'+board1.round(val,10);
	},		}
	]);		]);
	//		//
Line 40:		Line 39:
	},		},
	-10, 10], {strokeColor: "#bb0000", curveType:'plot'});		-10, 10], {strokeColor: "#bb0000", curveType:'plot'});
	*/
	board1.unsuspendUpdate();		board1.unsuspendUpdate();
	</script>		</script>
Line 71:		Line 69:
	board1.createElement('text',[-4,10, function() {		board1.createElement('text',[-4,10, function() {
	return 'n='+Math.floor(s.X());		return 'n='+Math.floor(s.X());
	},		}]);
	]);
	board1.createElement('text',[-4,8, function() {		board1.createElement('text',[-4,8, function() {
	var val = 0;		var val = 0;
Line 79:		Line 76:
	}		}
	return 'e~'+board1.round(val,10);		return 'e~'+board1.round(val,10);
	},		}]);
	]);
	board1.createElement('functiongraph', [		board1.createElement('functiongraph', [
	function(t) {		function(t) {