Continuous function II - Revision history

A WASSERMANN at 18:23, 7 January 2019

2019-01-07T18:23:44Z

← Older revision		Revision as of 18:23, 7 January 2019
Line 3:		Line 3:

	var f = function(x) { return 1.0/x; };		var f = function(x) { return 1.0/x; };
	var graph = board.create('functiongraph', [f,0.00001, 15], {strokeColor:'#~~00ff00~~'});		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 s = board.create('slider', [[0,-1],[1.5,-1],[0,1,1]],{name:'ε'});
Line 40:		Line 40:

	var f = function(x) { return 1.0/x; };		var f = function(x) { return 1.0/x; };
	var graph = board.create('functiongraph', [f,0.00001, 15], {strokeColor:'#~~00ff00~~'});		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 s = board.create('slider', [[0,-1],[1.5,-1],[0,1,1]],{name:'ε'});

A WASSERMANN at 18:22, 7 January 2019

2019-01-07T18:22:34Z

← Older revision		Revision as of 18:22, 7 January 2019
Line 7:		Line 7:
	var s = board.create('slider', [[0,-1],[1.5,-1],[0,1,1]],{name:'ε'});		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:'f(a)'});		var x1 = board.create('glider', [1/2, 0, board.defaultAxes.x],{name:'a'});
	board.suspendUpdate();		board.suspendUpdate();
	var y1 = board.create('point', [0,function(){return f(x1.X());}],{size:2,face:'[]',name:'f(a)'});		var y1 = board.create('point', [0,function(){return f(x1.X());}],{size:2,face:'[]',name:'f(a)'});
Line 37:		Line 37:

	<source lang="javascript">		<source lang="javascript">
	var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-1, 10, 11, -2], axis: true});		var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-1, 10, 2, -2], axis: true});

	var f = function(x) { return 1.0/x; };		var f = function(x) { return 1.0/x; };
	var graph = board.create('functiongraph', [f,0.00001, 15], {strokeColor:'#00ff00'});		var graph = board.create('functiongraph', [f,0.00001, 15], {strokeColor:'#00ff00'});

	var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'ε'});		var s = board.create('slider', [[0,-1],[1.5,-1],[0,1,1]],{name:'ε'});

	var y1 = board.create('glider', [0,3,board.defaultAxes.y],{name:'f(a)'});		var x1 = board.create('glider', [1/2, 0, board.defaultAxes.x],{name:'a'});
	board.suspendUpdate();		board.suspendUpdate();
	var y2 = board.create('point', [0,function(){return y1.Y()-s.Value();}],{size:2,face:'[]',name:' '});		var y1 = board.create('point', [0,function(){return f(x1.X());}],{size:2,face:'[]',name:'f(a)'});
	var y3 = board.create('point', [0,function(){return y1.Y()+s.Value();}],{size:2,face:'[]',name:' '});		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:'~~f(a)~~'});		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 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 z3 = board.create('point', [function(){return f(y3.Y());},function(){return y3.Y();}],{size:2,face:'[]',name:' '});
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	var h2 = board.create('curve', [function(t){return z2.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 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();
	</source>		</source>

A WASSERMANN at 18:21, 7 January 2019

2019-01-07T18:21:13Z

← Older revision		Revision as of 18:21, 7 January 2019
Line 7:		Line 7:
	var s = board.create('slider', [[0,-1],[1.5,-1],[0,1,1]],{name:'ε'});		var s = board.create('slider', [[0,-1],[1.5,-1],[0,1,1]],{name:'ε'});

	var z1 = board.create('glider', [1/2, 0, board.defaultAxes.x],{name:'f(a)'});		var x1 = board.create('glider', [1/2, 0, board.defaultAxes.x],{name:'f(a)'});
	board.suspendUpdate();		board.suspendUpdate();
	var y2 = board.create('point', [0,function(){return f(z1.X()~~)-s.Value(~~);}],{size:2,face:'[]',name:' '});		var y1 = board.create('point', [0,function(){return f(x1.X());}],{size:2,face:'[]',name:'f(a)'});
	var y3 = board.create('point', [0,function(){return f(z1.X())+s.Value();}],{size:2,face:'[]',name:' '});		var y2 = board.create('point', [0,function(){return f(x1.X())-s.Value();}],{size:2,face:'[]',name:' '});
	var y1 = board.create('point', [0,function(){return f(z1.X());}],{size:2,face:'[]',name:'~~f(a)~~'});		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 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 z3 = board.create('point', [function(){return f(y3.Y());},function(){return y3.Y();}],{size:2,face:'[]',name:' '});

A WASSERMANN at 18:19, 7 January 2019

2019-01-07T18:19:27Z

← Older revision		Revision as of 18:19, 7 January 2019
Line 7:		Line 7:
	var s = board.create('slider', [[0,-1],[1.5,-1],[0,1,1]],{name:'ε'});		var s = board.create('slider', [[0,-1],[1.5,-1],[0,1,1]],{name:'ε'});

	var y1 = board.create('glider', [0~~, 2~~,board.defaultAxes.y],{name:'f(a)'});		var z1 = board.create('glider', [1/2, 0, board.defaultAxes.x],{name:'f(a)'});
	board.suspendUpdate();		board.suspendUpdate();
	var y2 = board.create('point', [0,function(){return y1.Y()-s.Value();}],{size:2,face:'[]',name:' '});		var y2 = board.create('point', [0,function(){return f(z1.X())-s.Value();}],{size:2,face:'[]',name:' '});
	var y3 = board.create('point', [0,function(){return y1.Y()+s.Value();}],{size:2,face:'[]',name:' '});		var y3 = board.create('point', [0,function(){return f(z1.X())+s.Value();}],{size:2,face:'[]',name:' '});
			var y1 = board.create('point', [0,function(){return f(z1.X());}],{size:2,face:'[]',name:'f(a)'});

	~~var z1 = board.create('point', [function(){return f(y1.Y());},function(){return y1.Y();}],{size:2,face:'[]',name:'f(a)'});~~		var z2 = board.create('point', [function(){return f(y2.Y());},function(){return y2.Y();}],{size:2,face:'[]',name:' '});
	var z2 = board.create('point', [function(){return f(y2.Y());},function(){return y2.Y();}],{size:2,face:'[]',name:'AA '});		var z3 = board.create('point', [function(){return f(y3.Y());},function(){return y3.Y();}],{size:2,face:'[]',name:' '});
	var z3 = board.create('point', [function(){return f(y3.Y());},function(){return y3.Y();}],{size:2,face:'[]',name:'BB '});

	var v1 = board.create('segment', [z1,y1],{strokeColor:'gray',dash:2,strokeWidth:1});		var v1 = board.create('segment', [z1,y1],{strokeColor:'gray',dash:2,strokeWidth:1});
Line 24:		Line 24:
	var h3 = board.create('curve', [function(t){return z3.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, 4, function() {		var txt = board.create('text', [1.2, 4.3, function() {
	return 'δ = ' + Math.min(z1.X() - z3.X(), z2.X() - z1.X()).toFixed(5); }]);		return 'δ = ' + Math.min(z1.X() - z3.X(), z2.X() - z1.X()).toFixed(5); }]);
	board.unsuspendUpdate();		board.unsuspendUpdate();

A WASSERMANN at 18:15, 7 January 2019

2019-01-07T18:15:00Z

← Older revision		Revision as of 18:15, 7 January 2019
Line 7:		Line 7:
	var s = board.create('slider', [[0,-1],[1.5,-1],[0,1,1]],{name:'ε'});		var s = board.create('slider', [[0,-1],[1.5,-1],[0,1,1]],{name:'ε'});

	var y1 = board.create('glider', [0,3,board.defaultAxes.y],{name:'f(a)'});		var y1 = board.create('glider', [0, 2,board.defaultAxes.y],{name:'f(a)'});
	board.suspendUpdate();		board.suspendUpdate();
	var y2 = board.create('point', [0,function(){return y1.Y()-s.Value();}],{size:2,face:'[]',name:' '});		var y2 = board.create('point', [0,function(){return y1.Y()-s.Value();}],{size:2,face:'[]',name:' '});

A WASSERMANN at 18:13, 7 January 2019

2019-01-07T18:13:24Z

← Older revision		Revision as of 18:13, 7 January 2019
Line 25:		Line 25:

	var txt = board.create('text', [1, 4, function() {		var txt = board.create('text', [1, 4, function() {
	return 'δ = ' + Math.min(z3.X() - z1.X(), z1.X() - z2.X()).toFixed(5); }]);		return 'δ = ' + Math.min(z1.X() - z3.X(), z2.X() - z1.X()).toFixed(5); }]);
	board.unsuspendUpdate();		board.unsuspendUpdate();
	</jsxgraph>		</jsxgraph>

A WASSERMANN at 18:12, 7 January 2019

2019-01-07T18:12:46Z

← Older revision		Revision as of 18:12, 7 January 2019
Line 25:		Line 25:

	var txt = board.create('text', [1, 4, function() {		var txt = board.create('text', [1, 4, function() {
	return 'δ = ' + Math.min(~~(z2~~.X() - z1.X()~~)*0~~, z3.X() - z2.X()).toFixed(5); }]);		return 'δ = ' + Math.min(z3.X() - z1.X(), z1.X() - z2.X()).toFixed(5); }]);
	board.unsuspendUpdate();		board.unsuspendUpdate();
	</jsxgraph>		</jsxgraph>

A WASSERMANN at 18:11, 7 January 2019

2019-01-07T18:11:38Z

← Older revision		Revision as of 18:11, 7 January 2019
Line 13:		Line 13:

	var z1 = board.create('point', [function(){return f(y1.Y());},function(){return y1.Y();}],{size:2,face:'[]',name:'f(a)'});		var z1 = board.create('point', [function(){return f(y1.Y());},function(){return y1.Y();}],{size:2,face:'[]',name:'f(a)'});
	var z2 = board.create('point', [function(){return f(y2.Y());},function(){return y2.Y();}],{size:2,face:'[]',name:' '});		var z2 = board.create('point', [function(){return f(y2.Y());},function(){return y2.Y();}],{size:2,face:'[]',name:'AA '});
	var z3 = board.create('point', [function(){return f(y3.Y());},function(){return y3.Y();}],{size:2,face:'[]',name:' '});		var z3 = board.create('point', [function(){return f(y3.Y());},function(){return y3.Y();}],{size:2,face:'[]',name:'BB '});

	var v1 = board.create('segment', [z1,y1],{strokeColor:'gray',dash:2,strokeWidth:1});		var v1 = board.create('segment', [z1,y1],{strokeColor:'gray',dash:2,strokeWidth:1});
Line 25:		Line 25:

	var txt = board.create('text', [1, 4, function() {		var txt = board.create('text', [1, 4, function() {
	return 'δ = ' + Math.min(z2.X() - z1.X(), z3.X() - z2.X()).toFixed(5); }]);		return 'δ = ' + Math.min((z2.X() - z1.X())*0, z3.X() - z2.X()).toFixed(5); }]);
	board.unsuspendUpdate();		board.unsuspendUpdate();
	</jsxgraph>		</jsxgraph>

A WASSERMANN at 18:10, 7 January 2019

2019-01-07T18:10:25Z

← Older revision		Revision as of 18:10, 7 January 2019
Line 24:		Line 24:
	var h3 = board.create('curve', [function(t){return z3.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, 4, function() { return 'δ = ' + (z2.X() - z1.X()).toFixed(5); }]);		var txt = board.create('text', [1, 4, function() {
			return 'δ = ' + Math.min(z2.X() - z1.X(), z3.X() - z2.X()).toFixed(5); }]);
	board.unsuspendUpdate();		board.unsuspendUpdate();
	</jsxgraph>		</jsxgraph>

A WASSERMANN at 18:08, 7 January 2019

2019-01-07T18:08:52Z

← Older revision		Revision as of 18:08, 7 January 2019
Line 24:		Line 24:
	var h3 = board.create('curve', [function(t){return z3.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, 4, function() { return 'δ = ' + (z2 - z1).toFixed(5); }]);		var txt = board.create('text', [1, 4, function() { return 'δ = ' + (z2.X() - z1.X()).toFixed(5); }]);
	board.unsuspendUpdate();		board.unsuspendUpdate();
	</jsxgraph>		</jsxgraph>