Elliptic curves: Difference between revisions
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An elliptic curve can be written as a plane algebraic curve defined by an equation of the form | |||
:<math> y^2=x^3+ax+b\,. </math> | :<math> y^2=x^3+ax+b\,. </math> | ||
<html> | |||
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /> | |||
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<div id="jxgbox" class="jxgbox" style="width:600px; height:400px;"></div> | |||
<script language="JavaScript"> | |||
brd = JXG.JSXGraph.initBoard('jxgbox', {originX: 300, originY: 200, unitX: 20, unitY: 20}); | |||
brd.suspendUpdate(); | |||
brd.createElement('axis', [[0,0], [1,0]], {}); | |||
brd.createElement('axis', [[0,0], [0,1]], {}); | |||
// | |||
var b = brd.createElement('slider',[[-5,-2],[5,-2],[-5,1,5]],{name:'a'}); | |||
var a = brd.createElement('slider',[[1,-4],[10,-4],[1,1,10]],{name:'b'}); | |||
brd.createElement('curve', [function(x){ return x; }, function(x){ return Math.sqrt(x*x*x+a.Value()*x+b.Value(); }, 'x']); | |||
b.unsuspendUpdate(); | |||
</script> | |||
</html> | |||
<source lang="html4strict"> | |||
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /> | |||
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<div id="jxgbox" class="jxgbox" style="width:600px; height:400px;"></div> | |||
</source> | |||
<source lang="javascript"> | |||
</source> | |||
[[Category:Examples]] | |||
Revision as of 18:07, 30 January 2009
An elliptic curve can be written as a plane algebraic curve defined by an equation of the form
- [math]\displaystyle{ y^2=x^3+ax+b\,. }[/math]
<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>
<div id="jxgbox" class="jxgbox" style="width:600px; height:400px;"></div>
