Riemann sum II: Difference between revisions

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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...
 
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<html>
<form>Riemann sum type: <select id="sumtype">
<option value='left' selected> left
<option value='right'> right
<option value='middle'> middle
<option value='trapezodial'> trapezodial
<option value='lower'> lower
<option value='upper'> upper
</select></form>
</html>
<jsxgraph width="800" height="400" box="box">
<jsxgraph width="800" height="400" box="box">
var brd = JXG.JSXGraph.initBoard('jxgbox', {originX: 400, originY: 200, grid:true, unitX: 50, unitY: 50});
var brd = JXG.JSXGraph.initBoard('box', {boundingbox: [-8, 4, 8, -4], axis: true});
brd.createElement('axis', [[0,0], [1,0]], {strokeColor:'black'});
var b = brd.create('slider',[[1,3.5],[5,3.5],[0,1,3]],{name:'a', strokeColor:'black', fillColor:'white'});
brd.createElement('axis', [[0,0], [0,1]], {strokeColor:'black'});        
var b = brd.createElement('slider',[[1,3.5],[5,3.5],[0,1,3]],{name:'a', strokeColor:'black', fillColor:'white'});
var f = function(x){ return b.Value()*Math.sin(x); }
var f = function(x){ return b.Value()*Math.sin(x); }
var plot = brd.createElement('functiongraph',[f,-7,7], {strokeColor:'#32CD32', strokeWidth:'4px'});
var plot = brd.create('functiongraph',[f,-7,7], {strokeColor:'#32CD32', strokeWidth:'4px'});
var g = brd.D(f);
var g = JXG.Math.Numerics.D(f);
var plot2 = brd.createElement('functiongraph',[g,-7,7], {strokeColor:'#9370DB', strokeWidth:'2px'});
var plot2 = brd.create('functiongraph',[g,-7,7], {strokeColor:'#9370DB', strokeWidth:'2px'});
var os = brd.createElement('riemannsum',[f, 35, 'middle', -7, 7], {fillColor:'#B22222', fillOpacity:0.3, strokeColor:'#8B1A1A', strokeWidth:'2px'});
var os = brd.create('riemannsum',[f, 35, 'middle', -7, 7], {fillColor:'#B22222', fillOpacity:0.3, strokeColor:'#8B1A1A', strokeWidth:'2px'});
var t1 = brd.createElement('text',[-7,2,"(a*sin(x))'"],{strokeColor:'#9370DB'});
var t1 = brd.create('text',[-7,2,"(a*sin(x))'"],{strokeColor:'#9370DB'});
var t2 = brd.createElement('text',[-7,-1.5,"a*sin(x)"],{strokeColor:'#32CD32'});  
var t2 = brd.create('text',[-7,-1.5,"a*sin(x)"],{strokeColor:'#32CD32'});  
</jsxgraph>
</jsxgraph>


===The underlying JavaScript code===
===The underlying JavaScript code===
<source lang="xml">
<source lang="javascript">
<jsxgraph width="800" height="400" box="box">
var brd = JXG.JSXGraph.initBoard('box', {boundingbox: [-8, 4, 8, -4]});
var brd = JXG.JSXGraph.initBoard('jxgbox', {originX: 400, originY: 200, grid:true, unitX: 50, unitY: 50});
var b = brd.create('slider',[[1,3.5],[5,3.5],[0,1,3]],{name:'a', strokeColor:'black', fillColor:'white'});
brd.createElement('axis', [[0,0], [1,0]], {strokeColor:'black'});
brd.createElement('axis', [[0,0], [0,1]], {strokeColor:'black'});        
var b = brd.createElement('slider',[[1,3.5],[5,3.5],[0,1,3]],{name:'a', strokeColor:'black', fillColor:'white'});
var f = function(x){ return b.Value()*Math.sin(x); }
var f = function(x){ return b.Value()*Math.sin(x); }
var plot = brd.createElement('functiongraph',[f,-7,7], {strokeColor:'#32CD32', strokeWidth:'4px'});
var plot = brd.create('functiongraph',[f,-7,7], {strokeColor:'#32CD32', strokeWidth:'4px'});
var g = brd.D(f);
var g = JXG.Math.Numerics.D(f);
var plot2 = brd.createElement('functiongraph',[g,-7,7], {strokeColor:'#9370DB', strokeWidth:'2px'});
var plot2 = brd.create('functiongraph',[g,-7,7], {strokeColor:'#9370DB', strokeWidth:'2px'});
var os = brd.createElement('riemannsum',[f, 35, 'middle', -7, 7], {fillColor:'#B22222', fillOpacity:0.3, strokeColor:'#8B1A1A', strokeWidth:'2px'});
var os = brd.create('riemannsum',[f, 35, 'middle', -7, 7], {fillColor:'#B22222', fillOpacity:0.3, strokeColor:'#8B1A1A', strokeWidth:'2px'});
var t1 = brd.createElement('text',[-7,2,"(a*sin(x))'"],{strokeColor:'#9370DB'});
var t1 = brd.create('text',[-7,2,"(a*sin(x))'"],{strokeColor:'#9370DB'});
var t2 = brd.createElement('text',[-7,-1.5,"a*sin(x)"],{strokeColor:'#32CD32'});  
var t2 = brd.create('text',[-7,-1.5,"a*sin(x)"],{strokeColor:'#32CD32'});  
</jsxgraph>
</source>
</source>


[[Category:Examples]]
[[Category:Examples]]
[[Category:Calculus]]
[[Category:Calculus]]

Latest revision as of 15:50, 20 February 2013

The underlying JavaScript code

var brd = JXG.JSXGraph.initBoard('box', {boundingbox: [-8, 4, 8, -4]});
var b = brd.create('slider',[[1,3.5],[5,3.5],[0,1,3]],{name:'a', strokeColor:'black', fillColor:'white'});
var f = function(x){ return b.Value()*Math.sin(x); }
var plot = brd.create('functiongraph',[f,-7,7], {strokeColor:'#32CD32', strokeWidth:'4px'});
var g = JXG.Math.Numerics.D(f);
var plot2 = brd.create('functiongraph',[g,-7,7], {strokeColor:'#9370DB', strokeWidth:'2px'});
var os = brd.create('riemannsum',[f, 35, 'middle', -7, 7], {fillColor:'#B22222', fillOpacity:0.3, strokeColor:'#8B1A1A', strokeWidth:'2px'});
var t1 = brd.create('text',[-7,2,"(a*sin(x))'"],{strokeColor:'#9370DB'});
var t2 = brd.create('text',[-7,-1.5,"a*sin(x)"],{strokeColor:'#32CD32'});
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