Riemann sums: Difference between revisions

From JSXGraph Wiki
← Older editNewer edit →
No edit summary
No edit summary
(11 intermediate revisions by 2 users not shown)
Line 1: Line 1:
<html>
<html>
<script type="text/javascript" src="http://korpelainen.net/js/AM1.js"></script>  
<!--<script type="text/javascript" src="http://korpelainen.net/js/AM1.js"></script>-->
</html>
</html>
<html>
<html>
Line 7: Line 7:
<option value='right'> right
<option value='right'> right
<option value='middle'> middle
<option value='middle'> middle
<option value='trapezodial'> trapezodial
<option value='trapezoidal'> trapezoidal
<option value='simpson'> simpson
<option value='lower'> lower
<option value='lower'> lower
<option value='upper'> upper
<option value='upper'> upper
</select></form>
</select></form>
</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, 4, 8, -4]});
var s = brd.create('slider',[[1,3],[5,3],[1,10,50]],{name:'n',snapWidth:1});
var a = brd.create('slider',[[1,2],[5,2],[-10,-3,0]],{name:'start'});
var b = brd.create('slider',[[1,1],[5,1],[0,Math.PI,10]],{name:'end'});
var f = function(x){ return Math.sin(x); };
var plot = brd.create('functiongraph',[f,function(){return a.Value();}, function(){return b.Value();}]);


JXG.Options.text.useASCIIMathML = true;
var os = brd.create('riemannsum',[f,  
 
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 s.Value();}, function(){ return document.getElementById('sumtype').value;},
     function(){return a.Value();},  
     function(){return a.Value();},  
Line 30: Line 29:
     {fillColor:'#ffff00', fillOpacity:0.3});
     {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',[-6,-3,function(){ return 'Sum='+(JXG.Math.Numerics.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>


===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', {axis:true, boundingbox: [-8, 4, 8, -4]});
JXG.Options.text.useASCIIMathML = true;
var s = brd.create('slider',[[1,3],[5,3],[1,10,50]],{name:'n',snapWidth:1});
 
var a = brd.create('slider',[[1,2],[5,2],[-10,-3,0]],{name:'start'});
var brd = JXG.JSXGraph.initBoard('box', {axis:true, originX: 400, originY: 200, grid:true, unitX: 50, unitY: 50});
var b = brd.create('slider',[[1,1],[5,1],[0,Math.PI,10]],{name:'end'});
var s = brd.createElement('slider',[[1,3],[5,3],[1,10,50]],{name:'n',snapWidth:1});
var f = function(x){ return Math.sin(x); };
var a = brd.createElement('slider',[[1,2],[5,2],[-10,-3,0]],{name:'start'});
var plot = brd.create('functiongraph',[f,function(){return a.Value();}, function(){return b.Value();}]);
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,  
var os = brd.create('riemannsum',[f,  
     function(){ return s.Value();}, function(){ return document.getElementById('sumtype').value;},
     function(){ return s.Value();}, function(){ return document.getElementById('sumtype').value;},
     function(){return a.Value();},  
     function(){return a.Value();},  
Line 55: Line 48:
     {fillColor:'#ffff00', fillOpacity:0.3});
     {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',[-6,-3,function(){ return 'Sum='+(JXG.Math.Numerics.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>
</source>
</source>


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

Revision as of 12:13, 11 July 2018

Riemann sum type:

The underlying JavaScript code

var brd = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-8, 4, 8, -4]});
var s = brd.create('slider',[[1,3],[5,3],[1,10,50]],{name:'n',snapWidth:1});
var a = brd.create('slider',[[1,2],[5,2],[-10,-3,0]],{name:'start'});
var b = brd.create('slider',[[1,1],[5,1],[0,Math.PI,10]],{name:'end'});
var f = function(x){ return Math.sin(x); };
var plot = brd.create('functiongraph',[f,function(){return a.Value();}, function(){return b.Value();}]);

var os = brd.create('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.create('text',[-6,-3,function(){ return 'Sum='+(JXG.Math.Numerics.riemannsum(f,s.Value(),document.getElementById('sumtype').value,a.Value(),b.Value())).toFixed(4); }]);
Retrieved from "http://jsxgraph.org/wiki/index.php?title=Riemann_sums&oldid=6576"