Riemann sum III: Difference between revisions

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</html>
</html>
<jsxgraph width="800" height="400" box="box">
<jsxgraph width="800" height="400" box="box">
var brd = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox:[-8,-40,8,-5], grid:true});
var brd = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox:[-8,40,8,-5], grid:true});
var s = brd.create('slider',[[1,30],[5,30],[1,10,50]],{name:'n',snapWidth:1});
var s = brd.create('slider',[[1,30],[5,30],[1,10,50]],{name:'n',snapWidth:1});
var a = brd.create('slider',[[1,20],[5,20],[-10,-3,0]],{name:'start'});
var a = brd.create('slider',[[1,20],[5,20],[-10,-3,0]],{name:'start'});
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     ],  
     ],  
     {fillColor:'#ffff00', fillOpacity:0.3});
     {fillColor:'#ffff00', fillOpacity:0.3});
 
/*
brd.createElement('text',[-6,-4,function(){ return 'Sum='+(brd.riemannsum(f,s.Value(),document.getElementById('sumtype').value,a.Value(),b.Value())).toFixed(4); }]);
brd.createElement('text',[-6,-4,function(){ return 'Sum='+(brd.riemannsum(f,s.Value(),document.getElementById('sumtype').value,a.Value(),b.Value())).toFixed(4); }]);
*/
</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 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,-3,'`sum_(i=0)^n i^2`']);
</jsxgraph>
</jsxgraph>
</source>
</source>

Revision as of 15:22, 2 February 2010

Riemann sum type:

The underlying JavaScript code

<jsxgraph width="800" height="400" box="box">
</jsxgraph>
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