Difference between revisions of "Arithmetics of complex numbers"
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| Line 25: | Line 25: | ||
</html> | </html> | ||
| − | === | + | ===Multiplication of complex numbers=== |
| − | + | <html> | |
| + | <div id="box2" class="jxgbox" style="width:600px; height:400px;"></div> | ||
| + | <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 x = brd2.createElement('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 xy = brd2.createElement('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'}); | ||
| + | var c = brd2.createElement('circle',[org2,1],{strokeWidth:1,dash:1}); | ||
| + | </script> | ||
| + | </html> | ||
| + | |||
=== The underlying JavaScript code === | === The underlying JavaScript code === | ||
| + | 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', {originX: 250, originY: 250, unitX: 40, unitY: 40}); | ||
| Line 48: | Line 65: | ||
</source> | </source> | ||
| − | + | Multiplication: | |
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<source lang="javascript"> | <source lang="javascript"> | ||
| Line 79: | Line 80: | ||
var c = brd2.createElement('circle',[org2,1],{strokeWidth:1,dash:1}); | var c = brd2.createElement('circle',[org2,1],{strokeWidth:1,dash:1}); | ||
</source> | </source> | ||
| + | |||
| + | === References === | ||
| + | * [http://en.wikipedia.org/wiki/Complex_numbers http://en.wikipedia.org/wiki/Complex_numbers] | ||
| + | |||
[[Category:Examples]] | [[Category:Examples]] | ||
Revision as of 14:38, 15 December 2008
Contents
Addition of complex numbers
Multiplication of complex numbers
The underlying JavaScript code
Addition:
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 x = board.createElement('point', [2,2], {style:5,fillColor:'blue',name:'x'});
var y = board.createElement('point', [-1,-3], {style:5,fillColor:'blue',name:'y'});
var xy = board.createElement('point',
["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 ay =board.createElement('line', [org,y], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'blue'});
var axy =board.createElement('line', [org,xy], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'red'});
var ax2 =board.createElement('line', [x,xy], {straightFirst:false,straightLast:false,lastArrow:true,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});
Multiplication:
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 x = brd2.createElement('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 xy = brd2.createElement('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.createElement('circle',[org2,1],{strokeWidth:1,dash:1});
