Inverse mapping of the power function - Revision history

A WASSERMANN at 15:18, 20 February 2013

2013-02-20T15:18:29Z

← Older revision		Revision as of 15:18, 20 February 2013
Line 5:		Line 5:
	var n = b.create('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});		var n = b.create('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});
	b.create('functiongraph', [function(t){ return t}],{strokeColor:'#000000',dash:1,strokeWidth:1});		b.create('functiongraph', [function(t){ return t}],{strokeColor:'#000000',dash:1,strokeWidth:1});
	b.create('functiongraph', [function(t){ return b.pow(t,n.Value()); },0.001,8],{strokeColor:'#ff0000'});		b.create('functiongraph', [function(t){ return JXG.Math.pow(t,n.Value()); },0.001,8],{strokeColor:'#ff0000'});
	b.create('functiongraph', [function(t){ return b.pow(t,1/n.Value()); },0.001,8],{strokeColor:'#ff0000',dash:2});		b.create('functiongraph', [function(t){ return JXG.Math.pow(t,1/n.Value()); },0.001,8],{strokeColor:'#ff0000',dash:2});
	b.unsuspendUpdate();		b.unsuspendUpdate();
	</jsxgraph>		</jsxgraph>
Line 16:		Line 16:
	var n = b.create('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});		var n = b.create('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});
	b.create('functiongraph', [function(t){ return t}],{strokeColor:'#000000',dash:1,strokeWidth:1});		b.create('functiongraph', [function(t){ return t}],{strokeColor:'#000000',dash:1,strokeWidth:1});
	b.create('functiongraph', [function(t){ return b.pow(t,n.Value()); },0.001,8],{strokeColor:'#ff0000'});		b.create('functiongraph', [function(t){ return JXG.Math.pow(t,n.Value()); },0.001,8],{strokeColor:'#ff0000'});
	b.create('functiongraph', [function(t){ return b.pow(t,1/n.Value()); },0.001,8],{strokeColor:'#ff0000',dash:2});		b.create('functiongraph', [function(t){ return JXG.Math.pow(t,1/n.Value()); },0.001,8],{strokeColor:'#ff0000',dash:2});
	b.unsuspendUpdate();		b.unsuspendUpdate();
	</source>		</source>

Michael at 07:56, 8 June 2011

2011-06-08T07:56:21Z

← Older revision		Revision as of 07:56, 8 June 2011
Line 1:		Line 1:
	<jsxgraph width="600" height="400" box="jxgbox">		<jsxgraph width="600" height="400" box="jxgbox">
	b = JXG.JSXGraph.initBoard('jxgbox', {~~originX~~: ~~220~~, ~~originY: 300~~, ~~unitX: 40~~, ~~unitY~~: 40});		b = JXG.JSXGraph.initBoard('jxgbox', {boundingbox: [-5.5, 7.5, 9.5, -2.5], axis: true});
	b.suspendUpdate();		b.suspendUpdate();
	~~b.create('axis', [[0,0], [1,0]], {});~~
	~~b.create('axis', [[0,0], [0,1]], {});~~

	var n = b.create('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});		var n = b.create('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});
Line 13:		Line 11:

	<source lang="javascript">		<source lang="javascript">
	b = JXG.JSXGraph.initBoard('jxgbox', {~~originX~~: ~~220~~, ~~originY: 300~~, ~~unitX: 40~~, ~~unitY~~: 40});		b = JXG.JSXGraph.initBoard('jxgbox', {boundingbox: [-5.5, 7.5, 9.5, -2.5], axis: true});
	b.suspendUpdate();		b.suspendUpdate();
	~~b.create('axis', [[0,0], [1,0]], {});~~
	~~b.create('axis', [[0,0], [0,1]], {});~~

	var n = b.create('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});		var n = b.create('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});

A WASSERMANN at 15:58, 25 March 2011

2011-03-25T15:58:53Z

← Older revision		Revision as of 15:58, 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~~="jxgbox~~" class="jxgbox" style="width:600px; height:400px;"></div>~~
	~~<script language="JavaScript~~">
	b = JXG.JSXGraph.initBoard('jxgbox', {originX: 220, originY: 300, unitX: 40, unitY: 40});		b = JXG.JSXGraph.initBoard('jxgbox', {originX: 220, originY: 300, unitX: 40, unitY: 40});
	b.suspendUpdate();		b.suspendUpdate();
Line 14:		Line 10:
	b.create('functiongraph', [function(t){ return b.pow(t,1/n.Value()); },0.001,8],{strokeColor:'#ff0000',dash:2});		b.create('functiongraph', [function(t){ return b.pow(t,1/n.Value()); },0.001,8],{strokeColor:'#ff0000',dash:2});
	b.unsuspendUpdate();		b.unsuspendUpdate();
	</~~script>~~		</jsxgraph>
	~~</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="jxgbox" class="jxgbox" style="width:600px; height:400px;"></div>~~
	~~</source>~~
	<source lang="javascript">		<source lang="javascript">
	b = JXG.JSXGraph.initBoard('jxgbox', {originX: 220, originY: 300, unitX: 40, unitY: 40});		b = JXG.JSXGraph.initBoard('jxgbox', {originX: 220, originY: 300, unitX: 40, unitY: 40});

A WASSERMANN at 07:44, 22 July 2010

2010-07-22T07:44:27Z

← Older revision		Revision as of 07:44, 22 July 2010
Line 6:		Line 6:
	b = JXG.JSXGraph.initBoard('jxgbox', {originX: 220, originY: 300, unitX: 40, unitY: 40});		b = JXG.JSXGraph.initBoard('jxgbox', {originX: 220, originY: 300, unitX: 40, unitY: 40});
	b.suspendUpdate();		b.suspendUpdate();
	b.~~createElement~~('axis', [[0,0], [1,0]], {});		b.create('axis', [[0,0], [1,0]], {});
	b.~~createElement~~('axis', [[0,0], [0,1]], {});		b.create('axis', [[0,0], [0,1]], {});
	//
	var n = b.~~createElement~~('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});		var n = b.create('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});
	b.~~createElement~~('functiongraph', [function(t){ return t}],{strokeColor:'#000000',dash:1,strokeWidth:1});		b.create('functiongraph', [function(t){ return t}],{strokeColor:'#000000',dash:1,strokeWidth:1});
	b.~~createElement~~('functiongraph', [function(t){ return b.pow(t,n.Value()); },0.001,8],{strokeColor:'#ff0000'});		b.create('functiongraph', [function(t){ return b.pow(t,n.Value()); },0.001,8],{strokeColor:'#ff0000'});
	b.~~createElement~~('functiongraph', [function(t){ return b.pow(t,1/n.Value()); },0.001,8],{strokeColor:'#ff0000',dash:2});		b.create('functiongraph', [function(t){ return b.pow(t,1/n.Value()); },0.001,8],{strokeColor:'#ff0000',dash:2});
	b.unsuspendUpdate();		b.unsuspendUpdate();
	</script>		</script>
Line 25:		Line 25:
	b = JXG.JSXGraph.initBoard('jxgbox', {originX: 220, originY: 300, unitX: 40, unitY: 40});		b = JXG.JSXGraph.initBoard('jxgbox', {originX: 220, originY: 300, unitX: 40, unitY: 40});
	b.suspendUpdate();		b.suspendUpdate();
	b.~~createElement~~('axis', [[0,0], [1,0]], {});		b.create('axis', [[0,0], [1,0]], {});
	b.~~createElement~~('axis', [[0,0], [0,1]], {});		b.create('axis', [[0,0], [0,1]], {});
	var n = b.~~createElement~~('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});
	b.~~createElement~~('functiongraph', [function(t){ return t}],{strokeColor:'#000000',dash:1,strokeWidth:1});		var n = b.create('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});
	b.~~createElement~~('functiongraph', [function(t){ return b.pow(t,n.Value()); },0.001,8],{strokeColor:'#ff0000'});		b.create('functiongraph', [function(t){ return t}],{strokeColor:'#000000',dash:1,strokeWidth:1});
	b.~~createElement~~('functiongraph', [function(t){ return b.pow(t,1/n.Value()); },0.001,8],{strokeColor:'#ff0000',dash:2});		b.create('functiongraph', [function(t){ return b.pow(t,n.Value()); },0.001,8],{strokeColor:'#ff0000'});
			b.create('functiongraph', [function(t){ return b.pow(t,1/n.Value()); },0.001,8],{strokeColor:'#ff0000',dash:2});
	b.unsuspendUpdate();		b.unsuspendUpdate();
	</source>		</source>

A WASSERMANN at 17:09, 29 October 2009

2009-10-29T17:09:39Z

← Older revision		Revision as of 17:09, 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="jxgbox" class="jxgbox" style="width:600px; height:400px;"></div>		<div id="jxgbox" class="jxgbox" style="width:600px; height:400px;"></div>
Line 20:		Line 19:
	<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="jxgbox" class="jxgbox" style="width:600px; height:400px;"></div>		<div id="jxgbox" class="jxgbox" style="width:600px; height:400px;"></div>

A WASSERMANN at 13:38, 4 June 2009

2009-06-04T13:38:08Z

← Older revision		Revision as of 13:38, 4 June 2009
Line 12:		Line 12:
	var n = b.createElement('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});		var n = b.createElement('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});
	b.createElement('functiongraph', [function(t){ return t}],{strokeColor:'#000000',dash:1,strokeWidth:1});		b.createElement('functiongraph', [function(t){ return t}],{strokeColor:'#000000',dash:1,strokeWidth:1});
	b.createElement('functiongraph', [function(t){ return b.pow(t,n.X()); },0.001,8],{strokeColor:'#ff0000'});		b.createElement('functiongraph', [function(t){ return b.pow(t,n.Value()); },0.001,8],{strokeColor:'#ff0000'});
	b.createElement('functiongraph', [function(t){ return b.pow(t,1/n.X()); },0.001,8],{strokeColor:'#ff0000',dash:2});		b.createElement('functiongraph', [function(t){ return b.pow(t,1/n.Value()); },0.001,8],{strokeColor:'#ff0000',dash:2});
	b.unsuspendUpdate();		b.unsuspendUpdate();
	</script>		</script>
Line 31:		Line 31:
	var n = b.createElement('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});		var n = b.createElement('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});
	b.createElement('functiongraph', [function(t){ return t}],{strokeColor:'#000000',dash:1,strokeWidth:1});		b.createElement('functiongraph', [function(t){ return t}],{strokeColor:'#000000',dash:1,strokeWidth:1});
	b.createElement('functiongraph', [function(t){ return b.pow(t,n.X()); },0.001,8],{strokeColor:'#ff0000'});		b.createElement('functiongraph', [function(t){ return b.pow(t,n.Value()); },0.001,8],{strokeColor:'#ff0000'});
	b.createElement('functiongraph', [function(t){ return b.pow(t,1/n.X()); },0.001,8],{strokeColor:'#ff0000',dash:2});		b.createElement('functiongraph', [function(t){ return b.pow(t,1/n.Value()); },0.001,8],{strokeColor:'#ff0000',dash:2});
	b.unsuspendUpdate();		b.unsuspendUpdate();
	</source>		</source>

A WASSERMANN at 11:49, 10 March 2009

2009-03-10T11:49:05Z

← Older revision		Revision as of 11:49, 10 March 2009
Line 11:		Line 11:
	//		//
	var n = b.createElement('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});		var n = b.createElement('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});
	b.createElement('~~curve~~', [~~function(t){ return t; },~~ function(t){ return t}~~, "t"~~],{strokeColor:'#000000',dash:1,strokeWidth:1});		b.createElement('functiongraph', [function(t){ return t}],{strokeColor:'#000000',dash:1,strokeWidth:1});
	b.createElement('~~curve~~', [~~function(t){ return t; },~~ function(t){ return b.pow(t,n.X()); }~~, "t"~~,0.001,8],{strokeColor:'#ff0000'});		b.createElement('functiongraph', [function(t){ return b.pow(t,n.X()); },0.001,8],{strokeColor:'#ff0000'});
	b.createElement('~~curve~~', [~~function(t){ return t; },~~ function(t){ return b.pow(t,1/n.X()); }~~, "t"~~,0.001,8],{strokeColor:'#ff0000',dash:2});		b.createElement('functiongraph', [function(t){ return b.pow(t,1/n.X()); },0.001,8],{strokeColor:'#ff0000',dash:2});
	b.unsuspendUpdate();		b.unsuspendUpdate();
	</script>		</script>
Line 30:		Line 30:
	b.createElement('axis', [[0,0], [0,1]], {});		b.createElement('axis', [[0,0], [0,1]], {});
	var n = b.createElement('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});		var n = b.createElement('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});
	b.createElement('~~curve~~', [~~function(t){ return t; },~~ function(t){ return t}~~, "t"~~],{strokeColor:'#000000',dash:1,strokeWidth:1});		b.createElement('functiongraph', [function(t){ return t}],{strokeColor:'#000000',dash:1,strokeWidth:1});
	b.createElement('~~curve~~', [~~function(t){ return t; },~~ function(t){ return b.pow(t,n.X()); }~~, "t"~~,0.001,8],{strokeColor:'#ff0000'});		b.createElement('functiongraph', [function(t){ return b.pow(t,n.X()); },0.001,8],{strokeColor:'#ff0000'});
	b.createElement('~~curve~~', [~~function(t){ return t; },~~ function(t){ return b.pow(t,1/n.X()); }~~, "t"~~,0.001,8],{strokeColor:'#ff0000',dash:2});		b.createElement('functiongraph', [function(t){ return b.pow(t,1/n.X()); },0.001,8],{strokeColor:'#ff0000',dash:2});
	b.unsuspendUpdate();		b.unsuspendUpdate();
	</source>		</source>

A WASSERMANN at 11:06, 30 January 2009

2009-01-30T11:06:31Z

← Older revision		Revision as of 11:06, 30 January 2009
Line 25:		Line 25:
	</source>		</source>
	<source lang="javascript">		<source lang="javascript">
			b = JXG.JSXGraph.initBoard('jxgbox', {originX: 220, originY: 300, unitX: 40, unitY: 40});
			b.suspendUpdate();
			b.createElement('axis', [[0,0], [1,0]], {});
			b.createElement('axis', [[0,0], [0,1]], {});
			var n = b.createElement('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});
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			b.createElement('curve', [function(t){ return t; }, function(t){ return b.pow(t,n.X()); }, "t",0.001,8],{strokeColor:'#ff0000'});
			b.createElement('curve', [function(t){ return t; }, function(t){ return b.pow(t,1/n.X()); }, "t",0.001,8],{strokeColor:'#ff0000',dash:2});
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	[[Category:Examples]]		[[Category:Examples]]
	[[Category:Calculus]]		[[Category:Calculus]]

A WASSERMANN at 11:05, 30 January 2009

2009-01-30T11:05:48Z

← Older revision		Revision as of 11:05, 30 January 2009
Line 5:		Line 5:
	<div id="jxgbox" class="jxgbox" style="width:600px; height:400px;"></div>		<div id="jxgbox" class="jxgbox" style="width:600px; height:400px;"></div>
	<script language="JavaScript">		<script language="JavaScript">
	b = JXG.JSXGraph.initBoard('jxgbox', {originX: 220, originY: 300, unitX: 40, unitY: 20});		b = JXG.JSXGraph.initBoard('jxgbox', {originX: 220, originY: 300, unitX: 40, unitY: 40});
	b.suspendUpdate();		b.suspendUpdate();
	b.createElement('axis', [[0,0], [1,0]], {});		b.createElement('axis', [[0,0], [1,0]], {});
	b.createElement('axis', [[0,0], [0,1]], {});		b.createElement('axis', [[0,0], [0,1]], {});
	//		//
	var n = b.createElement('slider',[[-5,-2],[5,-2],[-5,1,5]],{name:'n'});		var n = b.createElement('slider',[[-5,-1],[5,-1],[-5,1,5]],{name:'n'});
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	b.createElement('curve', [function(t){ return t; }, function(t){ return b.pow(t,n.X()); }, "t",0.001,8],{strokeColor:'#ff0000'});		b.createElement('curve', [function(t){ return t; }, function(t){ return b.pow(t,n.X()); }, "t",0.001,8],{strokeColor:'#ff0000'});

A WASSERMANN at 11:05, 30 January 2009

2009-01-30T11:05:02Z

← Older revision		Revision as of 11:05, 30 January 2009
Line 5:		Line 5:
	<div id="jxgbox" class="jxgbox" style="width:600px; height:400px;"></div>		<div id="jxgbox" class="jxgbox" style="width:600px; height:400px;"></div>
	<script language="JavaScript">		<script language="JavaScript">
	b = JXG.JSXGraph.initBoard('jxgbox', {originX: ~~200~~, originY: 300, unitX: 40, unitY: 20});		b = JXG.JSXGraph.initBoard('jxgbox', {originX: 220, originY: 300, unitX: 40, unitY: 20});
	b.suspendUpdate();		b.suspendUpdate();
	b.createElement('axis', [[0,0], [1,0]], {});		b.createElement('axis', [[0,0], [1,0]], {});