Difference between revisions of "Continuous function II"
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− | < | + | <jsxgraph width="600" height="500" box="box"> |
− | |||
− | |||
− | |||
− | |||
board = JXG.JSXGraph.initBoard('box', {originX: 50, originY: 400, unitX: 50, unitY: 50}); | board = JXG.JSXGraph.initBoard('box', {originX: 50, originY: 400, unitX: 50, unitY: 50}); | ||
board.suspendUpdate(); | board.suspendUpdate(); | ||
− | b1axisx = board. | + | b1axisx = board.create('axis', [[0,0], [1,0]], {}); |
− | b1axisy = board. | + | b1axisy = board.create('axis', [[0,0], [0,1]], {}); |
var f = function(x) { return 1.0/x; }; | var f = function(x) { return 1.0/x; }; | ||
− | graph = board. | + | graph = board.create('functiongraph', [f,0.00001, 15], {strokeColor:'#00ff00'}); |
− | s = board. | + | s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'ε'}); |
− | y1 = board. | + | y1 = board.create('glider', [0,3,b1axisy],{name:'f(a)'}); |
− | y2 = board. | + | y2 = board.create('point', [0,function(){return y1.Y()-s.Value();}],{style:7,name:' '}); |
− | y3 = board. | + | y3 = board.create('point', [0,function(){return y1.Y()+s.Value();}],{style:7,name:' '}); |
− | z1 = board. | + | z1 = board.create('point', [function(){return f(y1.Y());},function(){return y1.Y();}],{style:7,name:'f(a)'}); |
− | z2 = board. | + | z2 = board.create('point', [function(){return f(y2.Y());},function(){return y2.Y();}],{style:7,name:' '}); |
− | z3 = board. | + | z3 = board.create('point', [function(){return f(y3.Y());},function(){return y3.Y();}],{style:7,name:' '}); |
− | v1 = board. | + | v1 = board.create('line', [z1,y1],{strokeColor:'gray',dash:2,strokeWidth:1,straightFirst:false,straightLast:false}); |
− | v2 = board. | + | v2 = board.create('line', [z2,y2],{strokeColor:'gray',dash:2,strokeWidth:1}); |
− | v3 = board. | + | v3 = board.create('line', [z3,y3],{strokeColor:'gray',dash:2,strokeWidth:1}); |
− | h1 = board. | + | h1 = board.create('curve', [function(t){return z1.X();},function(t){return t},0,20], {strokeColor:'gray',dash:2,strokeWidth:1}); |
− | h2 = board. | + | h2 = board.create('curve', [function(t){return z2.X();},function(t){return t},0,20], {strokeColor:'gray',dash:2,strokeWidth:1}); |
− | h3 = board. | + | h3 = board.create('curve', [function(t){return z3.X();},function(t){return t},0,20], {strokeColor:'gray',dash:2,strokeWidth:1}); |
board.unsuspendUpdate(); | board.unsuspendUpdate(); | ||
− | + | </jsxgraph> | |
− | </ | ||
− | |||
=== References === | === References === | ||
* [http://en.wikipedia.org/wiki/Continuous_function http://en.wikipedia.org/wiki/Continuous_function] | * [http://en.wikipedia.org/wiki/Continuous_function http://en.wikipedia.org/wiki/Continuous_function] | ||
+ | |||
+ | === The underlying JavaScript code === | ||
+ | |||
+ | <source lang="javascript"> | ||
+ | board = JXG.JSXGraph.initBoard('box', {originX: 50, originY: 400, unitX: 50, unitY: 50}); | ||
+ | board.suspendUpdate(); | ||
+ | b1axisx = board.create('axis', [[0,0], [1,0]], {}); | ||
+ | b1axisy = board.create('axis', [[0,0], [0,1]], {}); | ||
+ | |||
+ | var f = function(x) { return 1.0/x; }; | ||
+ | graph = board.create('functiongraph', [f,0.00001, 15], {strokeColor:'#00ff00'}); | ||
+ | |||
+ | s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'ε'}); | ||
+ | |||
+ | y1 = board.create('glider', [0,3,b1axisy],{name:'f(a)'}); | ||
+ | y2 = board.create('point', [0,function(){return y1.Y()-s.Value();}],{style:7,name:' '}); | ||
+ | y3 = board.create('point', [0,function(){return y1.Y()+s.Value();}],{style:7,name:' '}); | ||
+ | |||
+ | z1 = board.create('point', [function(){return f(y1.Y());},function(){return y1.Y();}],{style:7,name:'f(a)'}); | ||
+ | z2 = board.create('point', [function(){return f(y2.Y());},function(){return y2.Y();}],{style:7,name:' '}); | ||
+ | z3 = board.create('point', [function(){return f(y3.Y());},function(){return y3.Y();}],{style:7,name:' '}); | ||
+ | |||
+ | v1 = board.create('line', [z1,y1],{strokeColor:'gray',dash:2,strokeWidth:1,straightFirst:false,straightLast:false}); | ||
+ | v2 = board.create('line', [z2,y2],{strokeColor:'gray',dash:2,strokeWidth:1}); | ||
+ | v3 = board.create('line', [z3,y3],{strokeColor:'gray',dash:2,strokeWidth:1}); | ||
+ | |||
+ | h1 = board.create('curve', [function(t){return z1.X();},function(t){return t},0,20], {strokeColor:'gray',dash:2,strokeWidth:1}); | ||
+ | h2 = board.create('curve', [function(t){return z2.X();},function(t){return t},0,20], {strokeColor:'gray',dash:2,strokeWidth:1}); | ||
+ | h3 = board.create('curve', [function(t){return z3.X();},function(t){return t},0,20], {strokeColor:'gray',dash:2,strokeWidth:1}); | ||
+ | board.unsuspendUpdate(); | ||
+ | </source> | ||
[[Category:Examples]] | [[Category:Examples]] | ||
[[Category:Calculus]] | [[Category:Calculus]] |
Revision as of 11:28, 25 March 2011
References
The underlying JavaScript code
board = JXG.JSXGraph.initBoard('box', {originX: 50, originY: 400, unitX: 50, unitY: 50});
board.suspendUpdate();
b1axisx = board.create('axis', [[0,0], [1,0]], {});
b1axisy = board.create('axis', [[0,0], [0,1]], {});
var f = function(x) { return 1.0/x; };
graph = board.create('functiongraph', [f,0.00001, 15], {strokeColor:'#00ff00'});
s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'ε'});
y1 = board.create('glider', [0,3,b1axisy],{name:'f(a)'});
y2 = board.create('point', [0,function(){return y1.Y()-s.Value();}],{style:7,name:' '});
y3 = board.create('point', [0,function(){return y1.Y()+s.Value();}],{style:7,name:' '});
z1 = board.create('point', [function(){return f(y1.Y());},function(){return y1.Y();}],{style:7,name:'f(a)'});
z2 = board.create('point', [function(){return f(y2.Y());},function(){return y2.Y();}],{style:7,name:' '});
z3 = board.create('point', [function(){return f(y3.Y());},function(){return y3.Y();}],{style:7,name:' '});
v1 = board.create('line', [z1,y1],{strokeColor:'gray',dash:2,strokeWidth:1,straightFirst:false,straightLast:false});
v2 = board.create('line', [z2,y2],{strokeColor:'gray',dash:2,strokeWidth:1});
v3 = board.create('line', [z3,y3],{strokeColor:'gray',dash:2,strokeWidth:1});
h1 = board.create('curve', [function(t){return z1.X();},function(t){return t},0,20], {strokeColor:'gray',dash:2,strokeWidth:1});
h2 = board.create('curve', [function(t){return z2.X();},function(t){return t},0,20], {strokeColor:'gray',dash:2,strokeWidth:1});
h3 = board.create('curve', [function(t){return z3.X();},function(t){return t},0,20], {strokeColor:'gray',dash:2,strokeWidth:1});
board.unsuspendUpdate();