Difference between revisions of "Elliptic curves"
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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" /> | ||
+ | <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> | ||
+ | <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" /> | ||
+ | <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> | ||
+ | </source> | ||
+ | <source lang="javascript"> | ||
+ | </source> | ||
+ | |||
+ | [[Category:Examples]] |
Revision as of 20:07, 30 January 2009
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]
<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>