Difference between revisions of "Riemann integrability"
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| Line 9: | Line 9: | ||
var f = brd.lagrangePolynomial(p); | var f = brd.lagrangePolynomial(p); | ||
| − | var n = brd.create('slider',[[-1,3],[2,3],[1,10, | + | var n = brd.create('slider',[[-1,3],[2,3],[1,10,50]],{name:'n',snapWidth:1}); |
var plot = brd.create('functiongraph',[f,-3,3]); | var plot = brd.create('functiongraph',[f,-3,3]); | ||
| Line 15: | Line 15: | ||
var lo = brd.create('riemannsum',[f,function(){ return n.Value();}, 'lower',-3,3],{fillColor:'#ffff00', fillOpacity:0.3}); | var lo = brd.create('riemannsum',[f,function(){ return n.Value();}, 'lower',-3,3],{fillColor:'#ffff00', fillOpacity:0.3}); | ||
| − | brd. | + | brd.create('text',[-2,-2,function(){ return 'Diff='+(brd.riemannsum(f,n.Value(),'upper',-3,3)-brd.riemannsum(f,n.Value(),'lower',-3,3)).toFixed(4); }]); |
</jsxgraph> | </jsxgraph> | ||
| + | |||
| + | ===The underlying JavaScript code=== | ||
| + | <source lang="javascript"> | ||
| + | var brd = JXG.JSXGraph.initBoard('box', {boundingbox:[-3,5,3,-3],axis:true}); | ||
| + | var p = []; | ||
| + | p.push(brd.create('point',[-2.7,(Math.random()-0.2)*5])); | ||
| + | p.push(brd.create('point',[-1,(Math.random()-0.2)*5])); | ||
| + | p.push(brd.create('point',[0,(Math.random()-0.2)*5])); | ||
| + | p.push(brd.create('point',[1,(Math.random()-0.2)*5])); | ||
| + | p.push(brd.create('point',[2.7,(Math.random()-0.2)*5])); | ||
| + | |||
| + | var f = brd.lagrangePolynomial(p); | ||
| + | var n = brd.create('slider',[[-1,3],[2,3],[1,10,50]],{name:'n',snapWidth:1}); | ||
| + | var plot = brd.create('functiongraph',[f,-3,3]); | ||
| + | |||
| + | var up = brd.create('riemannsum',[f,function(){ return n.Value();}, 'upper',-3,3],{fillColor:'#ff0000', fillOpacity:0.3}); | ||
| + | var lo = brd.create('riemannsum',[f,function(){ return n.Value();}, 'lower',-3,3],{fillColor:'#ffff00', fillOpacity:0.3}); | ||
| + | |||
| + | brd.create('text',[-2,-2,function(){ return 'Diff='+(brd.riemannsum(f,n.Value(),'upper',-3,3)-brd.riemannsum(f,n.Value(),'lower',-3,3)).toFixed(4); }]); | ||
| + | </source> | ||
[[Category:Calculus]] | [[Category:Calculus]] | ||
[[Category:Examples]] | [[Category:Examples]] | ||
Revision as of 13:47, 11 May 2010
The underlying JavaScript code
var brd = JXG.JSXGraph.initBoard('box', {boundingbox:[-3,5,3,-3],axis:true});
var p = [];
p.push(brd.create('point',[-2.7,(Math.random()-0.2)*5]));
p.push(brd.create('point',[-1,(Math.random()-0.2)*5]));
p.push(brd.create('point',[0,(Math.random()-0.2)*5]));
p.push(brd.create('point',[1,(Math.random()-0.2)*5]));
p.push(brd.create('point',[2.7,(Math.random()-0.2)*5]));
var f = brd.lagrangePolynomial(p);
var n = brd.create('slider',[[-1,3],[2,3],[1,10,50]],{name:'n',snapWidth:1});
var plot = brd.create('functiongraph',[f,-3,3]);
var up = brd.create('riemannsum',[f,function(){ return n.Value();}, 'upper',-3,3],{fillColor:'#ff0000', fillOpacity:0.3});
var lo = brd.create('riemannsum',[f,function(){ return n.Value();}, 'lower',-3,3],{fillColor:'#ffff00', fillOpacity:0.3});
brd.create('text',[-2,-2,function(){ return 'Diff='+(brd.riemannsum(f,n.Value(),'upper',-3,3)-brd.riemannsum(f,n.Value(),'lower',-3,3)).toFixed(4); }]);
