Difference between revisions of "Lagrange interpolation"
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Jump to navigationJump to searchA WASSERMANN (talk  contribs) 
m (moved Lagrange interpolation II to Lagrange interpolation) 
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Revision as of 09:05, 8 June 2011
Constructs a polynomial of degree [math]n[/math] through [math]n+1[/math] given points. Points can be added by clicking on "Add point". The dotted line is the graph of the first derivative, the dashed line is the graph of the second derivative.
References
The underlying JavaScript code
<link rel="stylesheet" type="text/css" href="http://jsxgraph.unibayreuth.de/distrib/jsxgraph.css" />
<script type="text/javascript" src="http://jsxgraph.unibayreuth.de/distrib/jsxgraphcore.js"></script>
<div id="box" class="jxgbox" style="width:600px; height:400px;"></div>
board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 50, unitY: 25});
// Axes
b1axisx = board.create('axis', [[0,0], [1,0]], {});
b1axisy = board.create'axis', [[0,0], [0,1]], {});
var p = [];
p[0] = board.create('point', [1,2], {style:6});
p[1] = board.create('point', [3,1], {style:6});
var f = board.lagrangePolynomial(p);
graph = board.create('functiongraph', [f, 10, 10], {strokeWidth:3});
d1 = board.create('functiongraph', [board.D(f), 10, 10], {dash:1});
d2 = board.create('functiongraph', [board.D(board.D(f)), 10, 10], {dash:2});
function addPoint() {
p.push(board.create('point',[(Math.random()0.5)*10,(Math.random()0.5)*3],{style:6}));
board.update();
}