Riemann sums: Difference between revisions
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<html> | |||
<script type="text/javascript" src="http://korpelainen.net/js/AM1.js"></script> | |||
</html> | |||
<html> | <html> | ||
<form>Riemann sum type: <select id="sumtype"> | <form>Riemann sum type: <select id="sumtype"> | ||
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</html> | </html> | ||
<jsxgraph width="800" height="400" box="box"> | <jsxgraph width="800" height="400" box="box"> | ||
JXG.Options.text.useASCIIMathML = true; | |||
var brd = JXG.JSXGraph.initBoard('box', {axis:true, originX: 400, originY: 200, grid:true, unitX: 50, unitY: 50}); | var brd = JXG.JSXGraph.initBoard('box', {axis:true, originX: 400, originY: 200, grid:true, unitX: 50, unitY: 50}); | ||
var s = brd.createElement('slider',[[1,3],[5,3],[1,10,50]],{name:'n',snapWidth:1}); | var s = brd.createElement('slider',[[1,3],[5,3],[1,10,50]],{name:'n',snapWidth:1}); | ||
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brd.createElement('text',[-6,-3,function(){ return 'Sum='+(brd.riemannsum(f,s.Value(),document.getElementById('sumtype').value,a.Value(),b.Value())).toFixed(4); }]); | brd.createElement('text',[-6,-3,function(){ return 'Sum='+(brd.riemannsum(f,s.Value(),document.getElementById('sumtype').value,a.Value(),b.Value())).toFixed(4); }]); | ||
brd.create('text',[3,1,'`sum_(i=0)^n i^2`']); | |||
</jsxgraph> | </jsxgraph> | ||
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<source lang="xml"> | <source lang="xml"> | ||
<jsxgraph width="800" height="400" box="box"> | <jsxgraph width="800" height="400" box="box"> | ||
JXG.Options.text.useASCIIMathML = true; | |||
var brd = JXG.JSXGraph.initBoard('box', {axis:true, originX: 400, originY: 200, grid:true, unitX: 50, unitY: 50}); | var brd = JXG.JSXGraph.initBoard('box', {axis:true, originX: 400, originY: 200, grid:true, unitX: 50, unitY: 50}); | ||
var s = brd.createElement('slider',[[1,3],[5,3],[1,10,50]],{name:'n',snapWidth:1}); | var s = brd.createElement('slider',[[1,3],[5,3],[1,10,50]],{name:'n',snapWidth:1}); | ||
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brd.createElement('text',[-6,-3,function(){ return 'Sum='+(brd.riemannsum(f,s.Value(),document.getElementById('sumtype').value,a.Value(),b.Value())).toFixed(4); }]); | brd.createElement('text',[-6,-3,function(){ return 'Sum='+(brd.riemannsum(f,s.Value(),document.getElementById('sumtype').value,a.Value(),b.Value())).toFixed(4); }]); | ||
brd.create('text',[3,1,'`sum_(i=0)^n i^2`']); | |||
</jsxgraph> | </jsxgraph> | ||
</source> | </source> | ||
Revision as of 09:11, 10 November 2009
The underlying JavaScript code
<jsxgraph width="800" height="400" box="box">
JXG.Options.text.useASCIIMathML = true;
var brd = JXG.JSXGraph.initBoard('box', {axis:true, originX: 400, originY: 200, grid:true, unitX: 50, unitY: 50});
var s = brd.createElement('slider',[[1,3],[5,3],[1,10,50]],{name:'n',snapWidth:1});
var a = brd.createElement('slider',[[1,2],[5,2],[-10,-3,0]],{name:'start'});
var b = brd.createElement('slider',[[1,1],[5,1],[0,Math.PI,10]],{name:'end'});
var f = function(x){ return Math.sin(x); }
var plot = brd.createElement('functiongraph',[f,function(){return a.Value();}, function(){return b.Value();}]);
var os = brd.createElement('riemannsum',[f,
function(){ return s.Value();}, function(){ return document.getElementById('sumtype').value;},
function(){return a.Value();},
function(){return b.Value();}
],
{fillColor:'#ffff00', fillOpacity:0.3});
brd.createElement('text',[-6,-3,function(){ return 'Sum='+(brd.riemannsum(f,s.Value(),document.getElementById('sumtype').value,a.Value(),b.Value())).toFixed(4); }]);
brd.create('text',[3,1,'`sum_(i=0)^n i^2`']);
</jsxgraph>
