Difference between revisions of "Riemann sums"

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(New page: <html> <form>Riemann sum type: <select id="sumtype"> <option value='left' selected> left <option value='right'> right <option value='middle'> middle <option value='trapezodial'> trapezodia...)
 
Line 24: Line 24:
 
     {fillColor:'#ffff00', fillOpacity:0.3});
 
     {fillColor:'#ffff00', fillOpacity:0.3});
  
brd.createElement('text',[-6,-3,function(){ return 'Sum='+(brd.riemannsum(f,s.Value(),$('sumtype').value,a.Value(),b.Value())).toFixed(4); }],{fontSize:40});
+
brd.createElement('text',[-6,-3,function(){ return 'Sum='+(brd.riemannsum(f,s.Value(),$('sumtype').value,a.Value(),b.Value())).toFixed(4); }]);
 
</jsxgraph>
 
</jsxgraph>
  
 
===The underlying JavaScript code===
 
===The underlying JavaScript code===
 
<source lang="xml">
 
<source lang="xml">
 +
<jsxgraph width="800" height="400" box="box">
 +
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'});
 +
var a = brd.createElement('slider',[[1,2],[5,2],[-10,0,0]],{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 $('sumtype').value;},
 +
    function(){return a.Value();},
 +
    function(){return b.Value();}
 +
    ],
 +
    {fillColor:'#ffff00', fillOpacity:0.3});
 +
 +
brd.createElement('text',[-6,-3,function(){ return 'Sum='+(brd.riemannsum(f,s.Value(),$('sumtype').value,a.Value(),b.Value())).toFixed(4); }]);
 +
</jsxgraph>
 
</source>
 
</source>
 +
 
[[Category:Examples]]
 
[[Category:Examples]]
 
[[Category:Calculus]]
 
[[Category:Calculus]]

Revision as of 08:22, 4 May 2009

Riemann sum type:

The underlying JavaScript code

<jsxgraph width="800" height="400" box="box">
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'});
var a = brd.createElement('slider',[[1,2],[5,2],[-10,0,0]],{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 $('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(),$('sumtype').value,a.Value(),b.Value())).toFixed(4); }]);
</jsxgraph>