Difference between revisions of "Continuous functions"
From JSXGraph Wiki
Jump to navigationJump to searchA WASSERMANN (talk | contribs) |
A WASSERMANN (talk | contribs) |
||
(13 intermediate revisions by 2 users not shown) | |||
Line 1: | Line 1: | ||
− | < | + | <jsxgraph width="600" height="500" box="box"> |
− | + | var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-4, 6, 6, -4], axis: true}); | |
− | |||
− | |||
− | |||
− | |||
− | board = JXG.JSXGraph.initBoard('box', { | ||
board.suspendUpdate(); | board.suspendUpdate(); | ||
− | |||
− | |||
var f = function(x) { | var f = function(x) { | ||
Line 17: | Line 10: | ||
} | } | ||
}; | }; | ||
− | graph = board. | + | var graph = board.create('functiongraph', [f], {strokeColor:'#0000ff'}); |
− | s = board. | + | var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'δ'}); |
− | x1 = board. | + | var x1 = board.create('glider', [-2,0,board.defaultAxes.x],{name:'a'}); |
− | x2 = board. | + | board.suspendUpdate(); |
− | x3 = board. | + | var x2 = board.create('point', [function(){return x1.X()-s.Value();},0],{size:2,face:'[]',name:' '}); |
− | y1 = board. | + | var x3 = board.create('point', [function(){return x1.X()+s.Value();},0],{size:2,face:'[]',name:' '}); |
− | y2 = board. | + | var y1 = board.create('point', [function(){return x1.X();},function(){return f(x1.X());}],{size:2,face:'[]',name:'f(a)'}); |
− | y3 = board. | + | var y2 = board.create('point', [function(){return x2.X();},function(){return f(x2.X());}],{size:2,face:'[]',name:' '}); |
− | v1 = board. | + | var y3 = board.create('point', [function(){return x3.X();},function(){return f(x3.X());}],{size:2,face:'[]',name:' '}); |
− | v2 = board. | + | var v1 = board.create('segment', [x1,y1],{strokeColor:'gray',dash:2,strokeWidth:1}); |
− | v3 = board. | + | var v2 = board.create('line', [x2,y2],{strokeColor:'gray',dash:2,strokeWidth:1}); |
+ | var v3 = board.create('line', [x3,y3],{strokeColor:'gray',dash:2,strokeWidth:1}); | ||
− | h1 = board. | + | var h1 = board.create('curve', [function(t){return t},function(t){return y1.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1}); |
− | h2 = board. | + | var h2 = board.create('curve', [function(t){return t},function(t){return y2.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1}); |
− | h3 = board. | + | var h3 = board.create('curve', [function(t){return t},function(t){return y3.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1}); |
− | |||
− | + | var txt = board.create('text', [4.2, -1.5, function() { | |
− | </ | + | return 'ε = ' + Math.max(Math.abs(y2.Y() - y1.Y()), Math.abs(y1.Y() - y3.Y())).toFixed(5); |
+ | }], {strokeColor: 'blue'}); | ||
+ | board.unsuspendUpdate(); | ||
+ | </jsxgraph> | ||
=== References === | === References === | ||
Line 46: | Line 42: | ||
<source lang="javascript"> | <source lang="javascript"> | ||
− | board = JXG.JSXGraph.initBoard('box', { | + | var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-4, 6, 6, -4], axis: true}); |
board.suspendUpdate(); | board.suspendUpdate(); | ||
− | |||
− | |||
var f = function(x) { | var f = function(x) { | ||
Line 58: | Line 52: | ||
} | } | ||
}; | }; | ||
− | graph = board. | + | var graph = board.create('functiongraph', [f], {strokeColor:'#0000ff'}); |
− | s = board. | + | var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'δ'}); |
+ | |||
+ | var x1 = board.create('glider', [-2,0,board.defaultAxes.x],{name:'a'}); | ||
+ | board.suspendUpdate(); | ||
+ | var x2 = board.create('point', [function(){return x1.X()-s.Value();},0],{size:2,face:'[]',name:' '}); | ||
+ | var x3 = board.create('point', [function(){return x1.X()+s.Value();},0],{size:2,face:'[]',name:' '}); | ||
+ | var y1 = board.create('point', [function(){return x1.X();},function(){return f(x1.X());}],{size:2,face:'[]',name:'f(a)'}); | ||
+ | var y2 = board.create('point', [function(){return x2.X();},function(){return f(x2.X());}],{size:2,face:'[]',name:' '}); | ||
+ | var y3 = board.create('point', [function(){return x3.X();},function(){return f(x3.X());}],{size:2,face:'[]',name:' '}); | ||
+ | var v1 = board.create('segment', [x1,y1],{strokeColor:'gray',dash:2,strokeWidth:1}); | ||
+ | var v2 = board.create('line', [x2,y2],{strokeColor:'gray',dash:2,strokeWidth:1}); | ||
+ | var v3 = board.create('line', [x3,y3],{strokeColor:'gray',dash:2,strokeWidth:1}); | ||
− | + | var h1 = board.create('curve', [function(t){return t},function(t){return y1.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1}); | |
− | + | var h2 = board.create('curve', [function(t){return t},function(t){return y2.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1}); | |
− | + | var h3 = board.create('curve', [function(t){return t},function(t){return y3.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1}); | |
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
− | + | var txt = board.create('text', [4.2, -1.5, function() { | |
− | + | return 'ε = ' + Math.max(Math.abs(y2.Y() - y1.Y()), Math.abs(y1.Y() - y3.Y())).toFixed(5); | |
− | + | }], {strokeColor: 'blue'}); | |
board.unsuspendUpdate(); | board.unsuspendUpdate(); | ||
</source> | </source> |
Latest revision as of 20:02, 7 January 2019
References
The underlying JavaScript source code
var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-4, 6, 6, -4], axis: true});
board.suspendUpdate();
var f = function(x) {
if (x<1) {
return 0.5*x*x;
} else {
return x+1;
}
};
var graph = board.create('functiongraph', [f], {strokeColor:'#0000ff'});
var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'δ'});
var x1 = board.create('glider', [-2,0,board.defaultAxes.x],{name:'a'});
board.suspendUpdate();
var x2 = board.create('point', [function(){return x1.X()-s.Value();},0],{size:2,face:'[]',name:' '});
var x3 = board.create('point', [function(){return x1.X()+s.Value();},0],{size:2,face:'[]',name:' '});
var y1 = board.create('point', [function(){return x1.X();},function(){return f(x1.X());}],{size:2,face:'[]',name:'f(a)'});
var y2 = board.create('point', [function(){return x2.X();},function(){return f(x2.X());}],{size:2,face:'[]',name:' '});
var y3 = board.create('point', [function(){return x3.X();},function(){return f(x3.X());}],{size:2,face:'[]',name:' '});
var v1 = board.create('segment', [x1,y1],{strokeColor:'gray',dash:2,strokeWidth:1});
var v2 = board.create('line', [x2,y2],{strokeColor:'gray',dash:2,strokeWidth:1});
var v3 = board.create('line', [x3,y3],{strokeColor:'gray',dash:2,strokeWidth:1});
var h1 = board.create('curve', [function(t){return t},function(t){return y1.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});
var h2 = board.create('curve', [function(t){return t},function(t){return y2.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});
var h3 = board.create('curve', [function(t){return t},function(t){return y3.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});
var txt = board.create('text', [4.2, -1.5, function() {
return 'ε = ' + Math.max(Math.abs(y2.Y() - y1.Y()), Math.abs(y1.Y() - y3.Y())).toFixed(5);
}], {strokeColor: 'blue'});
board.unsuspendUpdate();