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 | 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> | ||
− | < | + | <jsxgraph width="600" height="400" box="jxgbox"> |
− | + | JXG.Options.axis.strokeColor = '#cccccc'; | |
− | + | brd = JXG.JSXGraph.initBoard('jxgbox', {boundingbox: [-15, 10, 15, -10], axis:true}); | |
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− | |||
− | |||
− | brd = JXG.JSXGraph.initBoard('jxgbox', { | ||
brd.suspendUpdate(); | brd.suspendUpdate(); | ||
− | + | var b = brd.create('slider',[[1,-3],[10,-3],[-10,2.10,10]],{name:'a'}); | |
− | + | var a = brd.create('slider',[[1,-4],[10,-4],[-10,-9.52,10]],{name:'b'}); | |
− | |||
− | var b = brd. | ||
− | |||
− | var a = brd. | ||
− | |||
− | |||
− | |||
− | |||
+ | var c1 = brd.create('functiongraph', [function(x){ return Math.sqrt(x*x*x+a.Value()*x+b.Value()); }], | ||
+ | {strokeWidth:3,strokeColor:'black'}); | ||
+ | var c2 = brd.create('functiongraph', [function(x){ return -Math.sqrt(x*x*x+a.Value()*x+b.Value()); }], | ||
+ | {strokeWidth:3,strokeColor:'black'}); | ||
brd.unsuspendUpdate(); | brd.unsuspendUpdate(); | ||
− | </ | + | </jsxgraph> |
− | |||
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<source lang="javascript"> | <source lang="javascript"> | ||
− | brd = JXG.JSXGraph.initBoard('jxgbox', { | + | JXG.Options.axis.strokeColor = '#cccccc'; |
+ | brd = JXG.JSXGraph.initBoard('jxgbox', {boundingbox: [-15, 10, 15, -10], axis:true}); | ||
brd.suspendUpdate(); | brd.suspendUpdate(); | ||
− | + | var b = brd.create('slider',[[1,-3],[10,-3],[-10,0,10]],{name:'a'}); | |
− | + | var a = brd.create('slider',[[1,-4],[10,-4],[-10,0,10]],{name:'b'}); | |
− | |||
− | var b = brd. | ||
− | |||
− | var a = brd. | ||
− | |||
− | |||
− | |||
− | |||
+ | var c1 = brd.create('functiongraph', [function(x){ return Math.sqrt(x*x*x+a.Value()*x+b.Value()); }], | ||
+ | {strokeWidth:3,strokeColor:'black'}); | ||
+ | var c2 = brd.create('functiongraph', [function(x){ return -Math.sqrt(x*x*x+a.Value()*x+b.Value()); }], | ||
+ | {strokeWidth:3,strokeColor:'black'}); | ||
brd.unsuspendUpdate(); | brd.unsuspendUpdate(); | ||
</source> | </source> |
Latest revision as of 13:42, 28 February 2014
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]
JXG.Options.axis.strokeColor = '#cccccc';
brd = JXG.JSXGraph.initBoard('jxgbox', {boundingbox: [-15, 10, 15, -10], axis:true});
brd.suspendUpdate();
var b = brd.create('slider',[[1,-3],[10,-3],[-10,0,10]],{name:'a'});
var a = brd.create('slider',[[1,-4],[10,-4],[-10,0,10]],{name:'b'});
var c1 = brd.create('functiongraph', [function(x){ return Math.sqrt(x*x*x+a.Value()*x+b.Value()); }],
{strokeWidth:3,strokeColor:'black'});
var c2 = brd.create('functiongraph', [function(x){ return -Math.sqrt(x*x*x+a.Value()*x+b.Value()); }],
{strokeWidth:3,strokeColor:'black'});
brd.unsuspendUpdate();