Lagrange interpolation (dup): Difference between revisions

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<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>
<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', {originX: 250, originY: 250, unitX: 50, unitY: 25});
var board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 50, unitY: 25, axis:true});
        // Axes
var p = [];
        b1axisx = board.createElement('axis', [[0,0], [1,0]], {});
p[0] = board.create('point', [-1,2], {style:6});
        b1axisy = board.createElement('axis', [[0,0], [0,1]], {});
p[1] = board.create('point', [3,-1], {style:6});
p[2] = board.create('point', [-3,0], {style:6});
var graph = board.create('functiongraph', [board.lagrangePolynomial(p), -10, 10]);


        var p = [];
function addPoint() {
        p[0] = board.createElement('point', [-1,2], {style:6});
      p.push(board.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{style:6}));
        p[1] = board.createElement('point', [3,-1], {style:6});
      board.update();
        graph = board.createElement('functiongraph', [board.lagrangePolynomial(p), -10, 10], {fillColor:'346554'});
}
 
        function addPoint() {
          p.push(board.createElement('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{style:6}));
          board.update();
        }
</script>
</script>
</html>
</html>
Line 30: Line 26:
<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>
Line 36: Line 31:


<source lang="javascript">
<source lang="javascript">
        board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 50, unitY: 25});
var board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 50, unitY: 25, axis:true});
        // Axes
var p = [];
        b1axisx = board.createElement('axis', [[0,0], [1,0]], {});
p[0] = board.create('point', [-1,2], {style:6});
        b1axisy = board.createElement('axis', [[0,0], [0,1]], {});
p[1] = board.create('point', [3,-1], {style:6});
 
p[2] = board.create('point', [-3,0], {style:6});
        var p = [];
var graph = board.create('functiongraph', [board.lagrangePolynomial(p), -10, 10]);
        p[0] = board.createElement('point', [-1,2], {style:6});
        p[1] = board.createElement('point', [3,-1], {style:6});
       
        graph = board.createElement('functiongraph', [board.lagrangePolynomial(p), -10, 10]);
 
        function addPoint() {
          p.push(board.createElement('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{style:6}));
          board.update();
        }


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




[[Category:Examples]]
[[Category:Austragungsstueberl]]
[[Category:Calculus]]
Category:Examples
Category:Calculus
Category:Interpolation

Latest revision as of 08:05, 8 June 2011

Constructs a polynomial of degree [math]\displaystyle{ n }[/math] through [math]\displaystyle{ n+1 }[/math] given points. Points can be added by clicking on "Add point".

References

The underlying JavaScript code

<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>

var board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 50, unitY: 25, axis:true});
var p = [];
p[0] = board.create('point', [-1,2], {style:6});
p[1] = board.create('point', [3,-1], {style:6});
p[2] = board.create('point', [-3,0], {style:6});
var graph = board.create('functiongraph', [board.lagrangePolynomial(p), -10, 10]);

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

Category:Examples Category:Calculus Category:Interpolation

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