Difference between revisions of "Rational functions"

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Line 16: Line 16:
 
<div id="box3" class="jxgbox" style="width:600px; height:400px;"></div>
 
<div id="box3" class="jxgbox" style="width:600px; height:400px;"></div>
 
<script language="JavaScript">
 
<script language="JavaScript">
board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 100, unitX: 30, unitY: 25, axis:true});
+
var board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 100, unitX: 30, unitY: 25, axis:true});
 
var p = [];
 
var p = [];
 
var q = [];
 
var q = [];
p[0] = board.createElement('point', [-1,2], {style:6});
+
p[0] = board.create('point', [-1,2], {style:6});
p[1] = board.createElement('point', [3,-1], {style:6});
+
p[1] = board.create('point', [3,-1], {style:6});
 
var f = board.lagrangePolynomial(p);
 
var f = board.lagrangePolynomial(p);
graph = board.createElement('functiongraph', [f,-10, 10]);
+
var graph = board.create('functiongraph', [f,-10, 10]);
  
 
function addPoint1() {
 
function addPoint1() {
   p.push(board.createElement('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{style:6}));
+
   p.push(board.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{style:6}));
 
   board.update();
 
   board.update();
 
}
 
}
  
board2 = JXG.JSXGraph.initBoard('box2', {originX: 300, originY: 100, unitX: 30, unitY: 25, axis:true});
+
var board2 = JXG.JSXGraph.initBoard('box2', {originX: 300, originY: 100, unitX: 30, unitY: 25, axis:true});
q[0] = board2.createElement('point', [-1,2], {style:6});
+
q[0] = board2.create('point', [-1,2], {style:6});
q[1] = board2.createElement('point', [3,-1], {style:6});
+
q[1] = board2.create('point', [3,-1], {style:6});
 
var f2 = board2.lagrangePolynomial(q);
 
var f2 = board2.lagrangePolynomial(q);
graph2 = board2.createElement('functiongraph', [f2, -10, 10]);
+
var graph2 = board2.create('functiongraph', [f2, -10, 10]);
  
 
function addPoint2() {
 
function addPoint2() {
   q.push(board2.createElement('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{style:6}));
+
   q.push(board2.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{style:6}));
 
   board2.update();
 
   board2.update();
 
}
 
}
  
board3 = JXG.JSXGraph.initBoard('box3', {originX: 300, originY: 200, unitX: 30, unitY: 25, axis:true});
+
var board3 = JXG.JSXGraph.initBoard('box3', {originX: 300, originY: 200, unitX: 30, unitY: 25, axis:true});
graph3 = board3.createElement('functiongraph', [function(x){return f(x)/f2(x);}, -10, 10], {strokeColor:'#ff0000'});
+
var graph3 = board3.create('functiongraph', [function(x){return f(x)/f2(x);}, -10, 10], {strokeColor:'#ff0000'});
  
 
board.addChild(board3);
 
board.addChild(board3);
Line 55: Line 55:
  
 
<source lang="javascript">
 
<source lang="javascript">
board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 100, unitX: 30, unitY: 25, axis:true});
+
var board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 100, unitX: 30, unitY: 25, axis:true});
 
var p = [];
 
var p = [];
 
var q = [];
 
var q = [];
p[0] = board.createElement('point', [-1,2], {style:6});
+
p[0] = board.create('point', [-1,2], {style:6});
p[1] = board.createElement('point', [3,-1], {style:6});
+
p[1] = board.create('point', [3,-1], {style:6});
 
var f = board.lagrangePolynomial(p);
 
var f = board.lagrangePolynomial(p);
graph = board.createElement('functiongraph', [f,-10, 10]);
+
var graph = board.create('functiongraph', [f,-10, 10]);
  
 
function addPoint1() {
 
function addPoint1() {
   p.push(board.createElement('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{style:6}));
+
   p.push(board.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{style:6}));
 
   board.update();
 
   board.update();
 
}
 
}
  
board2 = JXG.JSXGraph.initBoard('box2', {originX: 300, originY: 100, unitX: 30, unitY: 25, axis:true});
+
var board2 = JXG.JSXGraph.initBoard('box2', {originX: 300, originY: 100, unitX: 30, unitY: 25, axis:true});
q[0] = board2.createElement('point', [-1,2], {style:6});
+
q[0] = board2.create('point', [-1,2], {style:6});
q[1] = board2.createElement('point', [3,-1], {style:6});
+
q[1] = board2.create('point', [3,-1], {style:6});
 
var f2 = board2.lagrangePolynomial(q);
 
var f2 = board2.lagrangePolynomial(q);
graph2 = board2.createElement('functiongraph', [f2, -10, 10]);
+
var graph2 = board2.create('functiongraph', [f2, -10, 10]);
  
 
function addPoint2() {
 
function addPoint2() {
   q.push(board2.createElement('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{style:6}));
+
   q.push(board2.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{style:6}));
 
   board2.update();
 
   board2.update();
 
}
 
}
  
board3 = JXG.JSXGraph.initBoard('box3', {originX: 300, originY: 200, unitX: 30, unitY: 25, axis:true});
+
var board3 = JXG.JSXGraph.initBoard('box3', {originX: 300, originY: 200, unitX: 30, unitY: 25, axis:true});
graph3 = board3.createElement('functiongraph', [function(x){return f(x)/f2(x);}, -10, 10], {strokeColor:'#ff0000'});
+
var graph3 = board3.create('functiongraph', [function(x){return f(x)/f2(x);}, -10, 10], {strokeColor:'#ff0000'});
  
 
board.addChild(board3);
 
board.addChild(board3);
 
board2.addChild(board3);
 
board2.addChild(board3);
 +
         
 
</source>
 
</source>
  
 
[[Category:Examples]]
 
[[Category:Examples]]
 
[[Category:Calculus]]
 
[[Category:Calculus]]

Revision as of 08:48, 22 July 2010

Polynomial [math]f[/math]:

Polynomial [math]g[/math]:

Rational function [math]\frac{f}{g}[/math]:

References

The underlying JavaScript source code

var board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 100, unitX: 30, unitY: 25, axis:true});
var p = [];
var q = [];
p[0] = board.create('point', [-1,2], {style:6});
p[1] = board.create('point', [3,-1], {style:6});
var f = board.lagrangePolynomial(p);
var graph = board.create('functiongraph', [f,-10, 10]);

function addPoint1() {
   p.push(board.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{style:6}));
   board.update();
}

var board2 = JXG.JSXGraph.initBoard('box2', {originX: 300, originY: 100, unitX: 30, unitY: 25, axis:true});
q[0] = board2.create('point', [-1,2], {style:6});
q[1] = board2.create('point', [3,-1], {style:6});
var f2 = board2.lagrangePolynomial(q);
var graph2 = board2.create('functiongraph', [f2, -10, 10]);

function addPoint2() {
   q.push(board2.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{style:6}));
   board2.update();
}

var board3 = JXG.JSXGraph.initBoard('box3', {originX: 300, originY: 200, unitX: 30, unitY: 25, axis:true});
var graph3 = board3.create('functiongraph', [function(x){return f(x)/f2(x);}, -10, 10], {strokeColor:'#ff0000'});

board.addChild(board3);
board2.addChild(board3);