Difference between revisions of "Continuous function II"
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− | < | + | <jsxgraph width="600" height="500" box="box"> |
− | + | var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-1, 10, 2, -2], axis: true}); | |
− | |||
− | |||
− | |||
− | |||
− | board = JXG.JSXGraph.initBoard('box', { | ||
− | |||
− | |||
− | |||
var f = function(x) { return 1.0/x; }; | var f = function(x) { return 1.0/x; }; | ||
− | graph = board. | + | var graph = board.create('functiongraph', [f,0.00001, 15], {strokeColor:'#0000ff'}); |
+ | |||
+ | var s = board.create('slider', [[0,-1],[1.5,-1],[0,1,1]],{name:'ε'}); | ||
− | + | var x1 = board.create('glider', [1/2, 0, board.defaultAxes.x],{name:'a'}); | |
+ | board.suspendUpdate(); | ||
+ | var y1 = board.create('point', [0,function(){return f(x1.X());}],{size:2,face:'[]',name:'f(a)'}); | ||
+ | var y2 = board.create('point', [0,function(){return f(x1.X())-s.Value();}],{size:2,face:'[]',name:' '}); | ||
+ | var y3 = board.create('point', [0,function(){return f(x1.X())+s.Value();}],{size:2,face:'[]',name:' '}); | ||
− | + | var z1 = board.create('point', [function(){return f(y1.Y());},function(){return y1.Y();}],{size:2,face:'[]',name:' '}); | |
− | + | var z2 = board.create('point', [function(){return f(y2.Y());},function(){return y2.Y();}],{size:2,face:'[]',name:' '}); | |
− | + | var z3 = board.create('point', [function(){return f(y3.Y());},function(){return y3.Y();}],{size:2,face:'[]',name:' '}); | |
− | + | var v1 = board.create('segment', [z1,y1],{strokeColor:'gray',dash:2,strokeWidth:1}); | |
− | + | var v2 = board.create('line', [z2,y2],{strokeColor:'gray',dash:2,strokeWidth:1}); | |
− | + | var v3 = board.create('line', [z3,y3],{strokeColor:'gray',dash:2,strokeWidth:1}); | |
− | + | var h1 = board.create('curve', [function(t){return z1.X();},function(t){return t},0,20], {strokeColor:'gray',dash:2,strokeWidth:1}); | |
− | + | var h2 = board.create('curve', [function(t){return z2.X();},function(t){return t},0,20], {strokeColor:'gray',dash:2,strokeWidth:1}); | |
− | + | var h3 = board.create('curve', [function(t){return z3.X();},function(t){return t},0,20], {strokeColor:'gray',dash:2,strokeWidth:1}); | |
− | + | var txt = board.create('text', [1.2, 4.3, function() { | |
− | + | return 'δ = ' + Math.min(z1.X() - z3.X(), z2.X() - z1.X()).toFixed(5); }]); | |
− | |||
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"> | ||
+ | var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-1, 10, 2, -2], axis: true}); | ||
+ | |||
+ | var f = function(x) { return 1.0/x; }; | ||
+ | var graph = board.create('functiongraph', [f,0.00001, 15], {strokeColor:'#0000ff'}); | ||
+ | |||
+ | var s = board.create('slider', [[0,-1],[1.5,-1],[0,1,1]],{name:'ε'}); | ||
+ | |||
+ | var x1 = board.create('glider', [1/2, 0, board.defaultAxes.x],{name:'a'}); | ||
+ | board.suspendUpdate(); | ||
+ | var y1 = board.create('point', [0,function(){return f(x1.X());}],{size:2,face:'[]',name:'f(a)'}); | ||
+ | var y2 = board.create('point', [0,function(){return f(x1.X())-s.Value();}],{size:2,face:'[]',name:' '}); | ||
+ | var y3 = board.create('point', [0,function(){return f(x1.X())+s.Value();}],{size:2,face:'[]',name:' '}); | ||
+ | |||
+ | var z1 = board.create('point', [function(){return f(y1.Y());},function(){return y1.Y();}],{size:2,face:'[]',name:' '}); | ||
+ | var z2 = board.create('point', [function(){return f(y2.Y());},function(){return y2.Y();}],{size:2,face:'[]',name:' '}); | ||
+ | var z3 = board.create('point', [function(){return f(y3.Y());},function(){return y3.Y();}],{size:2,face:'[]',name:' '}); | ||
+ | |||
+ | var v1 = board.create('segment', [z1,y1],{strokeColor:'gray',dash:2,strokeWidth:1}); | ||
+ | var v2 = board.create('line', [z2,y2],{strokeColor:'gray',dash:2,strokeWidth:1}); | ||
+ | var v3 = board.create('line', [z3,y3],{strokeColor:'gray',dash:2,strokeWidth:1}); | ||
+ | |||
+ | var h1 = board.create('curve', [function(t){return z1.X();},function(t){return t},0,20], {strokeColor:'gray',dash:2,strokeWidth:1}); | ||
+ | var h2 = board.create('curve', [function(t){return z2.X();},function(t){return t},0,20], {strokeColor:'gray',dash:2,strokeWidth:1}); | ||
+ | var h3 = board.create('curve', [function(t){return z3.X();},function(t){return t},0,20], {strokeColor:'gray',dash:2,strokeWidth:1}); | ||
+ | |||
+ | var txt = board.create('text', [1.2, 4.3, function() { | ||
+ | return 'δ = ' + Math.min(z1.X() - z3.X(), z2.X() - z1.X()).toFixed(5); }]); | ||
+ | board.unsuspendUpdate(); | ||
+ | </source> | ||
[[Category:Examples]] | [[Category:Examples]] | ||
[[Category:Calculus]] | [[Category:Calculus]] |
Latest revision as of 19:23, 7 January 2019
References
The underlying JavaScript code
var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-1, 10, 2, -2], axis: true});
var f = function(x) { return 1.0/x; };
var graph = board.create('functiongraph', [f,0.00001, 15], {strokeColor:'#0000ff'});
var s = board.create('slider', [[0,-1],[1.5,-1],[0,1,1]],{name:'ε'});
var x1 = board.create('glider', [1/2, 0, board.defaultAxes.x],{name:'a'});
board.suspendUpdate();
var y1 = board.create('point', [0,function(){return f(x1.X());}],{size:2,face:'[]',name:'f(a)'});
var y2 = board.create('point', [0,function(){return f(x1.X())-s.Value();}],{size:2,face:'[]',name:' '});
var y3 = board.create('point', [0,function(){return f(x1.X())+s.Value();}],{size:2,face:'[]',name:' '});
var z1 = board.create('point', [function(){return f(y1.Y());},function(){return y1.Y();}],{size:2,face:'[]',name:' '});
var z2 = board.create('point', [function(){return f(y2.Y());},function(){return y2.Y();}],{size:2,face:'[]',name:' '});
var z3 = board.create('point', [function(){return f(y3.Y());},function(){return y3.Y();}],{size:2,face:'[]',name:' '});
var v1 = board.create('segment', [z1,y1],{strokeColor:'gray',dash:2,strokeWidth:1});
var v2 = board.create('line', [z2,y2],{strokeColor:'gray',dash:2,strokeWidth:1});
var v3 = board.create('line', [z3,y3],{strokeColor:'gray',dash:2,strokeWidth:1});
var h1 = board.create('curve', [function(t){return z1.X();},function(t){return t},0,20], {strokeColor:'gray',dash:2,strokeWidth:1});
var h2 = board.create('curve', [function(t){return z2.X();},function(t){return t},0,20], {strokeColor:'gray',dash:2,strokeWidth:1});
var h3 = board.create('curve', [function(t){return z3.X();},function(t){return t},0,20], {strokeColor:'gray',dash:2,strokeWidth:1});
var txt = board.create('text', [1.2, 4.3, function() {
return 'δ = ' + Math.min(z1.X() - z3.X(), z2.X() - z1.X()).toFixed(5); }]);
board.unsuspendUpdate();