Interpolation: Neville's algorithm - Revision history

AW at 20:39, 14 November 2020

2020-11-14T20:39:02Z

← Older revision		Revision as of 20:39, 14 November 2020
Line 33:		Line 33:
	p[1] = board.create('point', [3,-1], {size:4});		p[1] = board.create('point', [3,-1], {size:4});
	p[2] = board.create('point', [2,1], {size:4});		p[2] = board.create('point', [2,1], {size:4});

	var graph = board.create('curve', JXG.Math.Numerics.Neville(p),{strokeWidth:5,strokeOpacity:0.5});		var graph = board.create('curve', JXG.Math.Numerics.Neville(p),{strokeWidth:5,strokeOpacity:0.5});
	g = board.create('glider', [graph]);		g = board.create('glider', [graph]);

Michael at 19:10, 18 January 2013

2013-01-18T19:10:28Z

← Older revision		Revision as of 19:10, 18 January 2013
Line 9:		Line 9:
	p[1] = board.create('point', [3,-1], {size:4});		p[1] = board.create('point', [3,-1], {size:4});
	p[2] = board.create('point', [2,1], {size:4});		p[2] = board.create('point', [2,1], {size:4});
	graph = board.create('curve', ~~board~~.~~neville~~(p),{strokeWidth:5,strokeOpacity:0.5});		graph = board.create('curve', JXG.Math.Numerics.Neville(p),{strokeWidth:5,strokeOpacity:0.5});
	g = board.create('glider', [graph], {name:'Glider'});		g = board.create('glider', [graph], {name:'Glider'});
	t = board.create('tangent', [g],{dash:1,strokeColor:'green'});		t = board.create('tangent', [g],{dash:1,strokeColor:'green'});
Line 33:		Line 33:
	p[1] = board.create('point', [3,-1], {size:4});		p[1] = board.create('point', [3,-1], {size:4});
	p[2] = board.create('point', [2,1], {size:4});		p[2] = board.create('point', [2,1], {size:4});
	var graph = board.create('curve', ~~board~~.~~neville~~(p),{strokeWidth:5,strokeOpacity:0.5});		var graph = board.create('curve', JXG.Math.Numerics.Neville(p),{strokeWidth:5,strokeOpacity:0.5});
	g = board.create('glider', [graph]);		g = board.create('glider', [graph]);
	t = board.create('tangent', [g],{dash:1,strokeColor:'green'});		t = board.create('tangent', [g],{dash:1,strokeColor:'green'});

Michael at 07:52, 8 June 2011

2011-06-08T07:52:24Z

← Older revision		Revision as of 07:52, 8 June 2011
Line 1:		Line 1:
	<html>		<html>
	~~<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>~~
	<form><input type="button" value="Add point" onClick="addPoint()"></form>		<form><input type="button" value="Add point" onClick="addPoint()"></form>
	<~~div id~~="box" ~~class~~="~~jxgbox~~" ~~style="width:600px;~~ height~~:400px;"></div>~~		</html>
	~~<script language~~="~~JavaScript~~">		<jsxgraph box="box" width="600" height="400">
	board = JXG.JSXGraph.initBoard('box', {axis:true, ~~originX~~: ~~250~~, ~~originY: 250~~, ~~unitX: 50~~, ~~unitY: 50~~});		board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-5, 5, 7, -3]});
	board.suspendUpdate();		board.suspendUpdate();
	var p = [];		var p = [];
	p[0] = board.create('point', [-1,2], {~~style~~:6});		p[0] = board.create('point', [-1,2], {size:4});
	p[1] = board.create('point', [3,-1], {~~style~~:6});		p[1] = board.create('point', [3,-1], {size:4});
	p[2] = board.create('point', [2,1], {~~style~~:6});		p[2] = board.create('point', [2,1], {size:4});
	graph = board.create('curve', board.neville(p),{strokeWidth:5,strokeOpacity:0.5});		graph = board.create('curve', board.neville(p),{strokeWidth:5,strokeOpacity:0.5});
	g = board.create('glider', [graph], {name:'Glider'});		g = board.create('glider', [graph], {name:'Glider'});
Line 17:		Line 15:

	function addPoint() {		function addPoint() {
	p.push(board.create('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{~~style~~:6}));		p.push(board.create('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{size:4}));
	board.update();		board.update();
	}		}

	</~~script~~>		</jsxgraph>
	~~</html>~~
	=== References ===		=== References ===
	* [http://en.wikipedia.org/wiki/Neville%27s_algorithm http://en.wikipedia.org/wiki/Neville's_algorithm]		* [http://en.wikipedia.org/wiki/Neville%27s_algorithm http://en.wikipedia.org/wiki/Neville's_algorithm]

	=== 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="box" class="jxgbox" style="width:600px; height:400px;"></div>~~
	~~</source>~~

	<source lang="javascript">		<source lang="javascript">
	board = JXG.JSXGraph.initBoard('box', {axis:true, ~~originX~~: ~~250~~, ~~originY: 250~~, ~~unitX: 50~~, ~~unitY: 50~~});		board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-5, 5, 7, -3]});
	board.suspendUpdate();		board.suspendUpdate();
	var p = [];		var p = [];
	p[0] = board.create('point', [-1,2], {~~style~~:6});		p[0] = board.create('point', [-1,2], {size:4});
	p[1] = board.create('point', [3,-1], {~~style~~:6});		p[1] = board.create('point', [3,-1], {size:4});
	p[2] = board.create('point', [2,1], {~~style~~:6});		p[2] = board.create('point', [2,1], {size:4});
	graph = board.create('curve', board.neville(p),{strokeWidth:5,strokeOpacity:0.5});		var graph = board.create('curve', board.neville(p),{strokeWidth:5,strokeOpacity:0.5});
	g = board.create('glider', [graph]);		g = board.create('glider', [graph]);
	t = board.create('tangent', [g],{dash:1,strokeColor:'green'});		t = board.create('tangent', [g],{dash:1,strokeColor:'green'});
	board.unsuspendUpdate();		board.unsuspendUpdate();

	function addPoint() {		function addPoint() {
	p.push(board.create('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{~~style~~:6}));		p.push(board.create('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{size:4}));
	board.update();		board.update();
	}		}
	</source>		</source>

A WASSERMANN at 16:15, 29 July 2010

2010-07-29T16:15:04Z

← Older revision		Revision as of 16:15, 29 July 2010
Line 8:		Line 8:
	board.suspendUpdate();		board.suspendUpdate();
	var p = [];		var p = [];
	p[0] = board.~~createElement~~('point', [-1,2], {style:6});		p[0] = board.create('point', [-1,2], {style:6});
	p[1] = board.~~createElement~~('point', [3,-1], {style:6});		p[1] = board.create('point', [3,-1], {style:6});
	p[2] = board.~~createElement~~('point', [2,1], {style:6});		p[2] = board.create('point', [2,1], {style:6});
	graph = board.~~createElement~~('curve', board.neville(p),{strokeWidth:5,strokeOpacity:0.5});		graph = board.create('curve', board.neville(p),{strokeWidth:5,strokeOpacity:0.5});
	g = board.~~createElement~~('glider', [graph], {name:'Glider'});		g = board.create('glider', [graph], {name:'Glider'});
	t = board.~~createElement~~('tangent', [g],{dash:1,strokeColor:'green'});		t = board.create('tangent', [g],{dash:1,strokeColor:'green'});
	board.unsuspendUpdate();		board.unsuspendUpdate();

	function addPoint() {		function addPoint() {
	p.push(board.~~createElement~~('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{style:6}));		p.push(board.create('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{style:6}));
	board.update();		board.update();
	}		}
Line 37:		Line 37:
	board.suspendUpdate();		board.suspendUpdate();
	var p = [];		var p = [];
	p[0] = board.~~createElement~~('point', [-1,2], {style:6});		p[0] = board.create('point', [-1,2], {style:6});
	p[1] = board.~~createElement~~('point', [3,-1], {style:6});		p[1] = board.create('point', [3,-1], {style:6});
	p[2] = board.~~createElement~~('point', [2,1], {style:6});		p[2] = board.create('point', [2,1], {style:6});
	graph = board.~~createElement~~('curve', board.neville(p),{strokeWidth:5,strokeOpacity:0.5});		graph = board.create('curve', board.neville(p),{strokeWidth:5,strokeOpacity:0.5});
	g = board.~~createElement~~('glider', [graph]);		g = board.create('glider', [graph]);
	t = board.~~createElement~~('tangent', [g],{dash:1,strokeColor:'green'});		t = board.create('tangent', [g],{dash:1,strokeColor:'green'});
	board.unsuspendUpdate();		board.unsuspendUpdate();

	function addPoint() {		function addPoint() {
	p.push(board.~~createElement~~('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{style:6}));		p.push(board.create('point',[(Math.random()-0.5)10,(Math.random()-0.5)3],{style:6}));
	board.update();		board.update();
	}		}
Line 55:		Line 55:
	[[Category:Calculus]]		[[Category:Calculus]]
	[[Category:Curves]]		[[Category:Curves]]
			[[Category:Interpolation]]

A WASSERMANN at 15:36, 26 November 2009

2009-11-26T15:36:36Z

← Older revision		Revision as of 15:36, 26 November 2009
Line 54:		Line 54:
	[[Category:Examples]]		[[Category:Examples]]
	[[Category:Calculus]]		[[Category:Calculus]]
			[[Category:Curves]]

A WASSERMANN at 17:09, 29 October 2009

2009-10-29T17:09:15Z

← 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>
	<form><input type="button" value="Add point" onClick="addPoint()"></form>		<form><input type="button" value="Add point" onClick="addPoint()"></form>
Line 30:		Line 29:
	<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="box" class="jxgbox" style="width:600px; height:400px;"></div>		<div id="box" class="jxgbox" style="width:600px; height:400px;"></div>

A WASSERMANN at 23:05, 12 March 2009

2009-03-12T23:05:23Z

← Older revision		Revision as of 23:05, 12 March 2009
Line 7:		Line 7:
	<script language="JavaScript">		<script language="JavaScript">
	board = JXG.JSXGraph.initBoard('box', {axis:true, originX: 250, originY: 250, unitX: 50, unitY: 50});		board = JXG.JSXGraph.initBoard('box', {axis:true, originX: 250, originY: 250, unitX: 50, unitY: 50});
			board.suspendUpdate();
	var p = [];		var p = [];
	p[0] = board.createElement('point', [-1,2], {style:6});		p[0] = board.createElement('point', [-1,2], {style:6});
Line 14:		Line 15:
	g = board.createElement('glider', [graph], {name:'Glider'});		g = board.createElement('glider', [graph], {name:'Glider'});
	t = board.createElement('tangent', [g],{dash:1,strokeColor:'green'});		t = board.createElement('tangent', [g],{dash:1,strokeColor:'green'});
			board.unsuspendUpdate();

	function addPoint() {		function addPoint() {
Line 35:		Line 37:
	<source lang="javascript">		<source lang="javascript">
	board = JXG.JSXGraph.initBoard('box', {axis:true, originX: 250, originY: 250, unitX: 50, unitY: 50});		board = JXG.JSXGraph.initBoard('box', {axis:true, originX: 250, originY: 250, unitX: 50, unitY: 50});
			board.suspendUpdate();
	var p = [];		var p = [];
	p[0] = board.createElement('point', [-1,2], {style:6});		p[0] = board.createElement('point', [-1,2], {style:6});
Line 42:		Line 45:
	g = board.createElement('glider', [graph]);		g = board.createElement('glider', [graph]);
	t = board.createElement('tangent', [g],{dash:1,strokeColor:'green'});		t = board.createElement('tangent', [g],{dash:1,strokeColor:'green'});
			board.unsuspendUpdate();

	function addPoint() {		function addPoint() {

A WASSERMANN at 20:20, 10 March 2009

2009-03-10T20:20:12Z

← Older revision		Revision as of 20:20, 10 March 2009
Line 14:		Line 14:
	g = board.createElement('glider', [graph], {name:'Glider'});		g = board.createElement('glider', [graph], {name:'Glider'});
	t = board.createElement('tangent', [g],{dash:1,strokeColor:'green'});		t = board.createElement('tangent', [g],{dash:1,strokeColor:'green'});
	~~l = board.createElement('line', [p[0],p[5]],{dash:1,strokeColor:'green'});~~

	function addPoint() {		function addPoint() {
Line 43:		Line 42:
	g = board.createElement('glider', [graph]);		g = board.createElement('glider', [graph]);
	t = board.createElement('tangent', [g],{dash:1,strokeColor:'green'});		t = board.createElement('tangent', [g],{dash:1,strokeColor:'green'});
	~~l = board.createElement('line', [p[0],p[5]],{dash:1,strokeColor:'green'});~~

	function addPoint() {		function addPoint() {

A WASSERMANN at 17:36, 10 March 2009

2009-03-10T17:36:34Z

← Older revision		Revision as of 17:36, 10 March 2009
Line 39:		Line 39:
	p[0] = board.createElement('point', [-1,2], {style:6});		p[0] = board.createElement('point', [-1,2], {style:6});
	p[1] = board.createElement('point', [3,-1], {style:6});		p[1] = board.createElement('point', [3,-1], {style:6});
			p[2] = board.createElement('point', [2,1], {style:6});
	graph = board.createElement('curve', board.neville(p),{strokeWidth:5,strokeOpacity:0.5});		graph = board.createElement('curve', board.neville(p),{strokeWidth:5,strokeOpacity:0.5});
	g = board.createElement('glider', [graph]);		g = board.createElement('glider', [graph]);

A WASSERMANN at 14:46, 10 March 2009

2009-03-10T14:46:15Z

← Older revision		Revision as of 14:46, 10 March 2009
Line 6:		Line 6:
	<div id="box" class="jxgbox" style="width:600px; height:400px;"></div>		<div id="box" class="jxgbox" style="width:600px; height:400px;"></div>
	<script language="JavaScript">		<script language="JavaScript">
	board = JXG.JSXGraph.initBoard('box', {axis:true, originX: 250, originY: 250, unitX: 50, unitY: 25});		board = JXG.JSXGraph.initBoard('box', {axis:true, originX: 250, originY: 250, unitX: 50, unitY: 50});
	var p = [];		var p = [];
	p[0] = board.createElement('point', [-1,2], {style:6});		p[0] = board.createElement('point', [-1,2], {style:6});
Line 35:		Line 35:

	<source lang="javascript">		<source lang="javascript">
	board = JXG.JSXGraph.initBoard('box', {axis:true, originX: 250, originY: 250, unitX: 50, unitY: 25});		board = JXG.JSXGraph.initBoard('box', {axis:true, originX: 250, originY: 250, unitX: 50, unitY: 50});
	var p = [];		var p = [];
	p[0] = board.createElement('point', [-1,2], {style:6});		p[0] = board.createElement('point', [-1,2], {style:6});