Riemann sums - Revision history

A WASSERMANN at 13:50, 7 March 2024

2024-03-07T13:50:14Z

← Older revision		Revision as of 13:50, 7 March 2024
Line 3:		Line 3:
	</html>		</html>
	<html>		<html>
	<form>Riemann sum type: <select id="sumtype" onChange="~~board~~.update();">		<form>Riemann sum type: <select id="sumtype" onChange="brd.update();">
	<option value='left' selected> left		<option value='left' selected> left
	<option value='right'> right		<option value='right'> right

A WASSERMANN at 13:49, 7 March 2024

2024-03-07T13:49:51Z

← Older revision		Revision as of 13:49, 7 March 2024
Line 3:		Line 3:
	</html>		</html>
	<html>		<html>
	<form>Riemann sum type: <select id="sumtype">		<form>Riemann sum type: <select id="sumtype" onChange="board.update();">
	<option value='left' selected> left		<option value='left' selected> left
	<option value='right'> right		<option value='right'> right

A WASSERMANN at 12:13, 11 July 2018

2018-07-11T12:13:18Z

← Older revision		Revision as of 12:13, 11 July 2018
Line 11:		Line 11:
	<option value='lower'> lower		<option value='lower'> lower
	<option value='upper'> upper		<option value='upper'> upper
	~~<option value='simpson'> simpson~~
	</select></form>		</select></form>
	</html>		</html>

A WASSERMANN at 07:41, 14 July 2016

2016-07-14T07:41:56Z

← Older revision		Revision as of 07:41, 14 July 2016
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	<html>		<html>
	<script type="text/javascript" src="http://korpelainen.net/js/AM1.js"></script>		<!--<script type="text/javascript" src="http://korpelainen.net/js/AM1.js"></script>-->
	</html>		</html>
	<html>		<html>

A WASSERMANN at 09:19, 7 August 2013

2013-08-07T09:19:07Z

← Older revision		Revision as of 09:19, 7 August 2013
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	<option value='middle'> middle		<option value='middle'> middle
	<option value='trapezoidal'> trapezoidal		<option value='trapezoidal'> trapezoidal
			<option value='simpson'> simpson
	<option value='lower'> lower		<option value='lower'> lower
	<option value='upper'> upper		<option value='upper'> upper

Michael at 07:09, 6 August 2013

2013-08-06T07:09:45Z

← Older revision		Revision as of 07:09, 6 August 2013
Line 10:		Line 10:
	<option value='lower'> lower		<option value='lower'> lower
	<option value='upper'> upper		<option value='upper'> upper
			<option value='simpson'> simpson
	</select></form>		</select></form>
	</html>		</html>

A WASSERMANN at 14:53, 31 July 2013

2013-07-31T14:53:21Z

← Older revision		Revision as of 14:53, 31 July 2013
Line 7:		Line 7:
	<option value='right'> right		<option value='right'> right
	<option value='middle'> middle		<option value='middle'> middle
	<option value='~~trapezodial~~'> ~~trapezodial~~		<option value='trapezoidal'> trapezoidal
	<option value='lower'> lower		<option value='lower'> lower
	<option value='upper'> upper		<option value='upper'> upper

Michael at 18:59, 18 January 2013

2013-01-18T18:59:51Z

← Older revision		Revision as of 18:59, 18 January 2013
Line 28:		Line 28:
	{fillColor:'#ffff00', fillOpacity:0.3});		{fillColor:'#ffff00', fillOpacity:0.3});

	brd.create('text',[-6,-3,function(){ return 'Sum='+(~~brd~~.riemannsum(f,s.Value(),document.getElementById('sumtype').value,a.Value(),b.Value())).toFixed(4); }]);		brd.create('text',[-6,-3,function(){ return 'Sum='+(JXG.Math.Numerics.riemannsum(f,s.Value(),document.getElementById('sumtype').value,a.Value(),b.Value())).toFixed(4); }]);
	</jsxgraph>		</jsxgraph>

Line 47:		Line 47:
	{fillColor:'#ffff00', fillOpacity:0.3});		{fillColor:'#ffff00', fillOpacity:0.3});

	brd.create('text',[-6,-3,function(){ return 'Sum='+(~~brd~~.riemannsum(f,s.Value(),document.getElementById('sumtype').value,a.Value(),b.Value())).toFixed(4); }]);		brd.create('text',[-6,-3,function(){ return 'Sum='+(JXG.Math.Numerics.riemannsum(f,s.Value(),document.getElementById('sumtype').value,a.Value(),b.Value())).toFixed(4); }]);
	</source>		</source>

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

Michael at 12:34, 8 June 2011

2011-06-08T12:34:36Z

← Older revision		Revision as of 12:34, 8 June 2011
Line 12:		Line 12:
	</select></form>		</select></form>
	</html>		</html>

	<jsxgraph width="800" height="400" box="box">		<jsxgraph width="800" height="400" box="box">
			var brd = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-8, 4, 8, -4]});
	var brd = JXG.JSXGraph.initBoard('box', {axis:true, ~~originX~~: ~~400~~, ~~originY: 200~~, ~~grid:false~~, ~~unitX: 50, unitY: 50~~});
	var s = brd.create('slider',[[1,3],[5,3],[1,10,50]],{name:'n',snapWidth:1});		var s = brd.create('slider',[[1,3],[5,3],[1,10,50]],{name:'n',snapWidth:1});
	var a = brd.create('slider',[[1,2],[5,2],[-10,-3,0]],{name:'start'});		var a = brd.create('slider',[[1,2],[5,2],[-10,-3,0]],{name:'start'});
Line 32:		Line 32:

	===The underlying JavaScript code===		===The underlying JavaScript code===
	<source lang="~~xml~~">		<source lang="javascript">
	~~<jsxgraph width="800" height="400" box="box">~~		var brd = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-8, 4, 8, -4]});

	var brd = JXG.JSXGraph.initBoard('box', {axis:true, ~~originX~~: ~~400~~, ~~originY: 200~~, ~~grid:false, unitX: 50~~, ~~unitY: 50~~});
	var s = brd.create('slider',[[1,3],[5,3],[1,10,50]],{name:'n',snapWidth:1});		var s = brd.create('slider',[[1,3],[5,3],[1,10,50]],{name:'n',snapWidth:1});
	var a = brd.create('slider',[[1,2],[5,2],[-10,-3,0]],{name:'start'});		var a = brd.create('slider',[[1,2],[5,2],[-10,-3,0]],{name:'start'});
Line 50:		Line 48:

	brd.create('text',[-6,-3,function(){ return 'Sum='+(brd.riemannsum(f,s.Value(),document.getElementById('sumtype').value,a.Value(),b.Value())).toFixed(4); }]);		brd.create('text',[-6,-3,function(){ return 'Sum='+(brd.riemannsum(f,s.Value(),document.getElementById('sumtype').value,a.Value(),b.Value())).toFixed(4); }]);

	~~</jsxgraph>~~
	</source>		</source>

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

A WASSERMANN at 10:11, 25 March 2011

2011-03-25T10:11:51Z

← Older revision		Revision as of 10:11, 25 March 2011
Line 14:		Line 14:
	<jsxgraph width="800" height="400" box="box">		<jsxgraph width="800" height="400" box="box">

	var brd = JXG.JSXGraph.initBoard('box', {axis:true, originX: 400, originY: 200, grid:~~true~~, unitX: 50, unitY: 50});		var brd = JXG.JSXGraph.initBoard('box', {axis:true, originX: 400, originY: 200, grid:false, unitX: 50, unitY: 50});
	var s = brd.create('slider',[[1,3],[5,3],[1,10,50]],{name:'n',snapWidth:1});		var s = brd.create('slider',[[1,3],[5,3],[1,10,50]],{name:'n',snapWidth:1});
	var a = brd.create('slider',[[1,2],[5,2],[-10,-3,0]],{name:'start'});		var a = brd.create('slider',[[1,2],[5,2],[-10,-3,0]],{name:'start'});
Line 35:		Line 35:
	<jsxgraph width="800" height="400" box="box">		<jsxgraph width="800" height="400" box="box">

	var brd = JXG.JSXGraph.initBoard('box', {axis:true, originX: 400, originY: 200, grid:~~true~~, unitX: 50, unitY: 50});		var brd = JXG.JSXGraph.initBoard('box', {axis:true, originX: 400, originY: 200, grid:false, unitX: 50, unitY: 50});
	var s = brd.create('slider',[[1,3],[5,3],[1,10,50]],{name:'n',snapWidth:1});		var s = brd.create('slider',[[1,3],[5,3],[1,10,50]],{name:'n',snapWidth:1});
	var a = brd.create('slider',[[1,2],[5,2],[-10,-3,0]],{name:'start'});		var a = brd.create('slider',[[1,2],[5,2],[-10,-3,0]],{name:'start'});