Arithmetics of complex numbers: Difference between revisions

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===Addition of complex numbers===
===Addition of complex numbers===
<html>
<jsxgraph box="box" width="600" height="400">
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" />
         board = JXG.JSXGraph.initBoard('box', {boundingbox: [-6, 6, 8, -4], axis: true});
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script>
<div id="box" class="jxgbox" style="width:600px; height:400px;"></div>
<script language="JavaScript">
         board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 40, unitY: 40});
        // Axes
        b1axisx = board.createElement('axis', [[0,0], [1,0]], {});
        b1axisy = board.createElement('axis', [[0,0], [0,1]], {});
          
          
         var org = board.createElement('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
         var org = board.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
         var x = board.createElement('point', [2,2], {style:5,fillColor:'blue',name:'x'});
         var x = board.create('point', [2,2], {style:5,fillColor:'blue',name:'x'});
         var y = board.createElement('point', [-1,-3], {style:5,fillColor:'blue',name:'y'});
         var y = board.create('point', [-1,-3], {style:5,fillColor:'blue',name:'y'});
         var xy = board.createElement('point',  
         var xy = board.create('point',  
               ["X(x)+X(y)","Y(x)+Y(y)"], {style:7,fillColor:'blue',name:'x+y'});
               ["X(x)+X(y)","Y(x)+Y(y)"], {style:7,fillColor:'blue',name:'x+y'});
         var ax =board.createElement('line', [org,x], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'blue'});
         var ax =board.create('arrow', [org,x], {strokeColor:'blue'});
         var ay =board.createElement('line', [org,y], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'blue'});
         var ay =board.create('arrow', [org,y], {strokeColor:'blue'});
         var axy =board.createElement('line', [org,xy], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'red'});
         var axy =board.create('arrow', [org,xy], {strokeColor:'red'});
         var ax2 =board.createElement('line', [x,xy], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'blue',strokeWidth:1,dash:1});
         var ax2 =board.create('arrow', [x,xy], {strokeColor:'blue',strokeWidth:1,dash:1});
         var ay2 =board.createElement('line', [y,xy], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'blue',strokeWidth:1,dash:1});
         var ay2 =board.create('arrow', [y,xy], {strokeColor:'blue',strokeWidth:1,dash:1});
       
</jsxgraph>
</script>
</html>


===Multiplication of complex numbers===
===Multiplication of complex numbers===
<html>
<jsxgraph box="box2" width="600" height="400">
<div id="box2" class="jxgbox" style="width:600px; height:400px;"></div>
         brd2 = JXG.JSXGraph.initBoard('box2', {boundingbox: [-6, 6, 8, -4], axis: true});
<script language="JavaScript">
         brd2 = JXG.JSXGraph.initBoard('box2', {originX: 250, originY: 250, unitX: 40, unitY: 40});
        // Axes
        b1axisx = brd2.createElement('axis', [[0,0], [1,0]], {});
        b1axisy = brd2.createElement('axis', [[0,0], [0,1]], {});
          
          
         var org2 = brd2.createElement('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
         var org2 = brd2.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
         var x = brd2.createElement('point', [1,0], {style:4,fillColor:'blue',name:'x'});
         var x = brd2.create('point', [1,0], {style:4,fillColor:'blue',name:'x'});
         var y = brd2.createElement('point', [0,2], {style:4,fillColor:'red',strokeColor:'red',name:'y'});
         var y = brd2.create('point', [0,2], {style:4,fillColor:'red',strokeColor:'red',name:'y'});
         var xy = brd2.createElement('point',  
         var xy = brd2.create('point',  
               ["X(x)*X(y)-Y(x)*Y(y)","X(x)*Y(y)+X(y)*Y(x)"], {style:7,fillColor:'green',strokeColor:'green',name:'x*y'});
               ["X(x)*X(y)-Y(x)*Y(y)","X(x)*Y(y)+X(y)*Y(x)"], {style:7,fillColor:'green',strokeColor:'green',name:'x*y'});
         var c = brd2.createElement('circle',[org2,1],{strokeWidth:1,dash:1});         
         var c = brd2.create('circle',[org2,1],{strokeWidth:1,dash:1});         
</script>
</jsxgraph>
</html>




Line 47: Line 32:
Addition:
Addition:
<source lang="javascript">
<source lang="javascript">
         board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 40, unitY: 40});
         board = JXG.JSXGraph.initBoard('box', {boundingbox: [-6, 6, 8, -4], axis: true});
        // Axes
        b1axisx = board.createElement('axis', [[0,0], [1,0]], {});
        b1axisy = board.createElement('axis', [[0,0], [0,1]], {});
          
          
         var org = board.createElement('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
         var org = board.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
         var x = board.createElement('point', [2,2], {style:5,fillColor:'blue',name:'x'});
         var x = board.create('point', [2,2], {style:5,fillColor:'blue',name:'x'});
         var y = board.createElement('point', [-1,-3], {style:5,fillColor:'blue',name:'y'});
         var y = board.create('point', [-1,-3], {style:5,fillColor:'blue',name:'y'});
         var xy = board.createElement('point',  
         var xy = board.create('point',  
               ["X(x)+X(y)","Y(x)+Y(y)"], {style:7,fillColor:'blue',name:'x+y'});
               ["X(x)+X(y)","Y(x)+Y(y)"], {style:7,fillColor:'blue',name:'x+y'});
         var ax =board.createElement('line', [org,x], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'blue'});
         var ax =board.create('arrow', [org,x], {strokeColor:'blue'});
         var ay =board.createElement('line', [org,y], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'blue'});
         var ay =board.create('arrow', [org,y], {strokeColor:'blue'});
         var axy =board.createElement('line', [org,xy], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'red'});
         var axy =board.create('arrow', [org,xy], {strokeColor:'red'});
         var ax2 =board.createElement('line', [x,xy], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'blue',strokeWidth:1,dash:1});
         var ax2 =board.create('arrow', [x,xy], {strokeColor:'blue',strokeWidth:1,dash:1});
         var ay2 =board.createElement('line', [y,xy], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'blue',strokeWidth:1,dash:1});
         var ay2 =board.create('arrow', [y,xy], {strokeColor:'blue',strokeWidth:1,dash:1});
</source>
</source>


Line 67: Line 49:


<source lang="javascript">
<source lang="javascript">
         brd2 = JXG.JSXGraph.initBoard('box2', {originX: 250, originY: 250, unitX: 40, unitY: 40});
         brd2 = JXG.JSXGraph.initBoard('box2', {boundingbox: [-6, 6, 8, -4], axis: true});
        // Axes
        b1axisx = brd2.createElement('axis', [[0,0], [1,0]], {});
        b1axisy = brd2.createElement('axis', [[0,0], [0,1]], {});
          
          
         var org2 = brd2.createElement('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
         var org2 = brd2.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
         var x = brd2.createElement('point', [1,0], {style:5,fillColor:'blue',name:'x',trace:true});
         var x = brd2.create('point', [1,0], {style:5,fillColor:'blue',name:'x',trace:true});
         var y = brd2.createElement('point', [0,2], {style:5,fillColor:'red',strokeColor:'red',name:'y',trace:true});
         var y = brd2.create('point', [0,2], {style:5,fillColor:'red',strokeColor:'red',name:'y',trace:true});
         var xy = brd2.createElement('point',  
         var xy = brd2.create('point',  
               ["X(x)*X(y)-Y(x)*Y(y)","X(x)*Y(y)+X(y)*Y(x)"], {style:7,fillColor:'green',strokeColor:'green',name:'x*y',trace:true});
               ["X(x)*X(y)-Y(x)*Y(y)","X(x)*Y(y)+X(y)*Y(x)"], {style:7,fillColor:'green',strokeColor:'green',name:'x*y',trace:true});
         var c = brd2.createElement('circle',[org2,1],{strokeWidth:1,dash:1});         
         var c = brd2.create('circle',[org2,1],{strokeWidth:1,dash:1});         
</source>
</source>



Revision as of 11:47, 7 June 2011

Addition of complex numbers

Multiplication of complex numbers


The underlying JavaScript code

Addition:

        board = JXG.JSXGraph.initBoard('box', {boundingbox: [-6, 6, 8, -4], axis: true});
        
        var org = board.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
        var x = board.create('point', [2,2], {style:5,fillColor:'blue',name:'x'});
        var y = board.create('point', [-1,-3], {style:5,fillColor:'blue',name:'y'});
        var xy = board.create('point', 
              ["X(x)+X(y)","Y(x)+Y(y)"], {style:7,fillColor:'blue',name:'x+y'});
        var ax =board.create('arrow', [org,x], {strokeColor:'blue'});
        var ay =board.create('arrow', [org,y], {strokeColor:'blue'});
        var axy =board.create('arrow', [org,xy], {strokeColor:'red'});
        var ax2 =board.create('arrow', [x,xy], {strokeColor:'blue',strokeWidth:1,dash:1});
        var ay2 =board.create('arrow', [y,xy], {strokeColor:'blue',strokeWidth:1,dash:1});

Multiplication:

        brd2 = JXG.JSXGraph.initBoard('box2', {boundingbox: [-6, 6, 8, -4], axis: true});
        
        var org2 = brd2.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
        var x = brd2.create('point', [1,0], {style:5,fillColor:'blue',name:'x',trace:true});
        var y = brd2.create('point', [0,2], {style:5,fillColor:'red',strokeColor:'red',name:'y',trace:true});
        var xy = brd2.create('point', 
              ["X(x)*X(y)-Y(x)*Y(y)","X(x)*Y(y)+X(y)*Y(x)"], {style:7,fillColor:'green',strokeColor:'green',name:'x*y',trace:true});
        var c = brd2.create('circle',[org2,1],{strokeWidth:1,dash:1});

References