Difference between revisions of "Harmonic Waves"

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(New page: <html> <link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /> <script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/pro...)
 
 
(16 intermediate revisions by 2 users not shown)
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<html>
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<jsxgraph box="jxgbox1" width="600" height="500">
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<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" />
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     board1 = JXG.JSXGraph.initBoard('jxgbox1', {axis: true, boundingbox: [-6, 5, 6, -5]});
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<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script>
 
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<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script>
 
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<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div>
 
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<script language="JavaScript">
 
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     board1 = JXG.JSXGraph.initBoard('jxgbox', {originX: 300, originY: 200, unitX: 50, unitY: 50});
 
 
     board1.suspendUpdate();
 
     board1.suspendUpdate();
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    board1.createElement('axis', [[0,0], [1,0]], {});
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     var s = board1.create('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S',snapWidth:1});
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    board1.createElement('axis', [[0,0], [0,1]], {});
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     board1.create('functiongraph', [
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     var s = board1.createElement('slider', [0.75,-2.5,5,0,10,0], {name:'S'});
 
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     board1.createElement('curve', [
 
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        't',
 
 
         function(t) {
 
         function(t) {
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             var val = 0;
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             var val = 0, sv = s.Value()+1,
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                k = 1;
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            for(var i = 0; i < Math.floor(s.X()) + 1; i++) {
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                for(var i = 0; i < sv; i++) {
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                val = val + Math.sin(2*Math.PI*k*t)/k;
+
                    val = val + Math.sin(2*Math.PI*k*t)/k;
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                k += 1;
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                    k += 1;
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            }
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                }
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            return val+2;
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                return val+2;
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             }, "t", -10, 10], {strokeColor: "#bb0000", curveType:'plot'});
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             }, -10, 10], {strokeColor: "#bb0000"});
 
      
 
      
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         board1.createElement('curve', [
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         board1.create('functiongraph', [
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            't',
 
 
             function(t) {
 
             function(t) {
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                var val = 0;
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            var val = 0, sv = s.Value()+1,
−
                 var k = 1;
+
                 k = 1;
−
                 for(var i = 0; i < Math.floor(s.X()) + 1; i++) {
+
                 for(var i = 0; i < sv; i++) {
 
                     val = val + Math.sin(2*Math.PI*(2*k-1)*t)/(2*k-1);
 
                     val = val + Math.sin(2*Math.PI*(2*k-1)*t)/(2*k-1);
 
                     k += 1;
 
                     k += 1;
 
                 }
 
                 }
 
                 return val-2;
 
                 return val-2;
−
                 }, "t", -10, 10], {strokeColor: "#cc5520", curveType:'plot'});
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                 }, -10, 10], {strokeColor: "#cc5520"});
  
 
     board1.unsuspendUpdate();         
 
     board1.unsuspendUpdate();         
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</script>
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</jsxgraph>
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</html>
+
 
 +
<source lang="javascript">
 +
board1 = JXG.JSXGraph.initBoard('jxgbox1', {axis: true, boundingbox: [-6, 5, 6, -5]});
 +
board1.suspendUpdate();
 +
var s = board1.create('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S',snapWidth:1});
 +
board1.create('functiongraph', [
 +
    function(t) {
 +
        var val = 0, sv = s.Value()+1,
 +
        k = 1;
 +
        for(var i = 0; i < sv; i++) {
 +
            val = val + Math.sin(2*Math.PI*k*t)/k;
 +
            k += 1;
 +
        }
 +
        return val+2;
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    }, -10, 10], {strokeColor: "#bb0000"});
 +
 
 +
board1.create('functiongraph', [
 +
    function(t) {
 +
        var val = 0, sv = s.Value()+1,
 +
            k = 1;
 +
        for(var i = 0; i < sv; i++) {
 +
            val = val + Math.sin(2*Math.PI*(2*k-1)*t)/(2*k-1);
 +
            k += 1;
 +
        }
 +
        return val-2;
 +
    }, -10, 10], {strokeColor: "#cc5520"});
  
 +
board1.unsuspendUpdate();
 +
</source>
  
 
[[Category:Examples]]
 
[[Category:Examples]]
 +
[[Category:Calculus]]

Latest revision as of 19:31, 15 March 2020

board1 = JXG.JSXGraph.initBoard('jxgbox1', {axis: true, boundingbox: [-6, 5, 6, -5]});
board1.suspendUpdate();
var s = board1.create('slider', [[0.75,-2],[4.5,-2],[0,0,10]], {name:'S',snapWidth:1});
board1.create('functiongraph', [
    function(t) {
        var val = 0, sv = s.Value()+1,
        k = 1;
        for(var i = 0; i < sv; i++) {
            val = val + Math.sin(2*Math.PI*k*t)/k;
            k += 1;
        }
        return val+2;
    }, -10, 10], {strokeColor: "#bb0000"});

board1.create('functiongraph', [
    function(t) {
        var val = 0, sv = s.Value()+1,
            k = 1;
        for(var i = 0; i < sv; i++) {
            val = val + Math.sin(2*Math.PI*(2*k-1)*t)/(2*k-1);
            k += 1;
        }
        return val-2;
    }, -10, 10], {strokeColor: "#cc5520"});

board1.unsuspendUpdate();
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