Sequences of functions - Revision history

A WASSERMANN at 13:23, 3 March 2021

2021-03-03T13:23:25Z

← Older revision		Revision as of 13:23, 3 March 2021
Line 30:		Line 30:
	var f2 = function(x){ return 4(1-x)x/n2.Value(); }		var f2 = function(x){ return 4(1-x)x/n2.Value(); }
	var plot2 = brd2.create('functiongraph',[f2,0,1], {strokeWidth:2});		var plot2 = brd2.create('functiongraph',[f2,0,1], {strokeWidth:2});
	brd2.~~createElement~~('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n2.Value())+'</sub>(x)=4(1-x)x/'+n2.Value().toFixed(0);}],		brd2.create('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n2.Value())+'</sub>(x)=4(1-x)x/'+n2.Value().toFixed(0);}],
	{fontSize:20});		{fontSize:20});
	brd2.unsuspendUpdate();		brd2.unsuspendUpdate();
Line 41:		Line 41:
	var f2 = function(x){ return 4(1-x)x/n2.Value(); }		var f2 = function(x){ return 4(1-x)x/n2.Value(); }
	var plot2 = brd2.create('functiongraph',[f2,0,1], {strokeWidth:2});		var plot2 = brd2.create('functiongraph',[f2,0,1], {strokeWidth:2});
	brd2.~~createElement~~('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n2.Value())+'</sub>(x)=4(1-x)x/'+n2.Value().toFixed(0);}],		brd2.create('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n2.Value())+'</sub>(x)=4(1-x)x/'+n2.Value().toFixed(0);}],
	{fontSize:20});		{fontSize:20});
	brd2.unsuspendUpdate();		brd2.unsuspendUpdate();
Line 52:		Line 52:
	var f3 = function(x){ return x*x+x/n3.Value(); }		var f3 = function(x){ return x*x+x/n3.Value(); }
	var plot3 = brd3.create('functiongraph',[f3,0,1], {strokeWidth:2});		var plot3 = brd3.create('functiongraph',[f3,0,1], {strokeWidth:2});
	brd3.~~createElement~~('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n3.Value())+'</sub>(x)=x<sup>2</sup>+x/'+n3.Value().toFixed(0);}],		brd3.create('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n3.Value())+'</sub>(x)=x<sup>2</sup>+x/'+n3.Value().toFixed(0);}],
	{fontSize:20});		{fontSize:20});
	brd3.unsuspendUpdate();		brd3.unsuspendUpdate();
Line 63:		Line 63:
	var f3 = function(x){ return x*x+x/n3.Value(); }		var f3 = function(x){ return x*x+x/n3.Value(); }
	var plot3 = brd3.create('functiongraph',[f3,0,1], {strokeWidth:2});		var plot3 = brd3.create('functiongraph',[f3,0,1], {strokeWidth:2});
	brd3.~~createElement~~('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n3.Value())+'</sub>(x)=x<sup>2</sup>+x/'+n3.Value().toFixed(0);}],		brd3.create('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n3.Value())+'</sub>(x)=x<sup>2</sup>+x/'+n3.Value().toFixed(0);}],
	{fontSize:20});		{fontSize:20});
	brd3.unsuspendUpdate();		brd3.unsuspendUpdate();

A WASSERMANN at 13:22, 3 March 2021

2021-03-03T13:22:47Z

← Older revision		Revision as of 13:22, 3 March 2021
Line 7:		Line 7:
	var f = function(x){ return Math.pow(x,n.Value()); }		var f = function(x){ return Math.pow(x,n.Value()); }
	var plot = brd.create('functiongraph',[f,0,1], {strokeWidth:2});		var plot = brd.create('functiongraph',[f,0,1], {strokeWidth:2});
	brd.~~createElement~~('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n.Value())+'</sub>(x)=x<sup>'+Math.floor(n.Value())+'</sup>';}],		brd.create('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n.Value())+'</sub>(x)=x<sup>'+Math.floor(n.Value())+'</sup>';}],
	{fontSize:20});		{fontSize:20});
	brd.unsuspendUpdate();		brd.unsuspendUpdate();
Line 18:		Line 18:
	var f = function(x){ return Math.pow(x,n.Value()); }		var f = function(x){ return Math.pow(x,n.Value()); }
	var plot = brd.create('functiongraph',[f,0,1], {strokeWidth:2});		var plot = brd.create('functiongraph',[f,0,1], {strokeWidth:2});
	brd.~~createElement~~('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n.Value())+'</sub>(x)=x<sup>'+Math.floor(n.Value())+'</sup>';}],		brd.create('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n.Value())+'</sub>(x)=x<sup>'+Math.floor(n.Value())+'</sup>';}],
	{fontSize:20});		{fontSize:20});
	brd.unsuspendUpdate();		brd.unsuspendUpdate();

A WASSERMANN at 15:57, 20 February 2013

2013-02-20T15:57:30Z

← Older revision		Revision as of 15:57, 20 February 2013
Line 8:		Line 8:
	var plot = brd.create('functiongraph',[f,0,1], {strokeWidth:2});		var plot = brd.create('functiongraph',[f,0,1], {strokeWidth:2});
	brd.createElement('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n.Value())+'</sub>(x)=x<sup>'+Math.floor(n.Value())+'</sup>';}],		brd.createElement('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n.Value())+'</sub>(x)=x<sup>'+Math.floor(n.Value())+'</sup>';}],
	{fontSize:~~'20px'~~});		{fontSize:20});
	brd.unsuspendUpdate();		brd.unsuspendUpdate();
	</jsxgraph>		</jsxgraph>
Line 19:		Line 19:
	var plot = brd.create('functiongraph',[f,0,1], {strokeWidth:2});		var plot = brd.create('functiongraph',[f,0,1], {strokeWidth:2});
	brd.createElement('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n.Value())+'</sub>(x)=x<sup>'+Math.floor(n.Value())+'</sup>';}],		brd.createElement('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n.Value())+'</sub>(x)=x<sup>'+Math.floor(n.Value())+'</sup>';}],
	{fontSize:~~'20px'~~});		{fontSize:20});
	brd.unsuspendUpdate();		brd.unsuspendUpdate();
	</source>		</source>
Line 31:		Line 31:
	var plot2 = brd2.create('functiongraph',[f2,0,1], {strokeWidth:2});		var plot2 = brd2.create('functiongraph',[f2,0,1], {strokeWidth:2});
	brd2.createElement('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n2.Value())+'</sub>(x)=4(1-x)x/'+n2.Value().toFixed(0);}],		brd2.createElement('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n2.Value())+'</sub>(x)=4(1-x)x/'+n2.Value().toFixed(0);}],
	{fontSize:~~'20px'~~});		{fontSize:20});
	brd2.unsuspendUpdate();		brd2.unsuspendUpdate();
	</jsxgraph>		</jsxgraph>
Line 42:		Line 42:
	var plot2 = brd2.create('functiongraph',[f2,0,1], {strokeWidth:2});		var plot2 = brd2.create('functiongraph',[f2,0,1], {strokeWidth:2});
	brd2.createElement('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n2.Value())+'</sub>(x)=4(1-x)x/'+n2.Value().toFixed(0);}],		brd2.createElement('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n2.Value())+'</sub>(x)=4(1-x)x/'+n2.Value().toFixed(0);}],
	{fontSize:~~'20px'~~});		{fontSize:20});
	brd2.unsuspendUpdate();		brd2.unsuspendUpdate();
	</source>		</source>
Line 53:		Line 53:
	var plot3 = brd3.create('functiongraph',[f3,0,1], {strokeWidth:2});		var plot3 = brd3.create('functiongraph',[f3,0,1], {strokeWidth:2});
	brd3.createElement('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n3.Value())+'</sub>(x)=x<sup>2</sup>+x/'+n3.Value().toFixed(0);}],		brd3.createElement('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n3.Value())+'</sub>(x)=x<sup>2</sup>+x/'+n3.Value().toFixed(0);}],
	{fontSize:~~'20px'~~});		{fontSize:20});
	brd3.unsuspendUpdate();		brd3.unsuspendUpdate();
	</jsxgraph>		</jsxgraph>
Line 64:		Line 64:
	var plot3 = brd3.create('functiongraph',[f3,0,1], {strokeWidth:2});		var plot3 = brd3.create('functiongraph',[f3,0,1], {strokeWidth:2});
	brd3.createElement('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n3.Value())+'</sub>(x)=x<sup>2</sup>+x/'+n3.Value().toFixed(0);}],		brd3.createElement('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n3.Value())+'</sub>(x)=x<sup>2</sup>+x/'+n3.Value().toFixed(0);}],
	{fontSize:~~'20px'~~});		{fontSize:20});
	brd3.unsuspendUpdate();		brd3.unsuspendUpdate();
	</source>		</source>

Michael at 13:33, 8 June 2011

2011-06-08T13:33:06Z

← Older revision		Revision as of 13:33, 8 June 2011
Line 12:		Line 12:
	</jsxgraph>		</jsxgraph>

	~~===The underlying JavaScript code===~~
	<source lang="javascript">		<source lang="javascript">
	var brd = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox:[-0.25,1.7,1.25,-0.5]});		var brd = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox:[-0.25,1.7,1.25,-0.5]});
Line 36:		Line 35:
	</jsxgraph>		</jsxgraph>

	~~===The underlying JavaScript code===~~
	<source lang="javascript">		<source lang="javascript">
	var brd2 = JXG.JSXGraph.initBoard('box2', {axis:true, boundingbox:[-0.25,1.7,1.25,-0.5]});		var brd2 = JXG.JSXGraph.initBoard('box2', {axis:true, boundingbox:[-0.25,1.7,1.25,-0.5]});
Line 59:		Line 57:
	</jsxgraph>		</jsxgraph>

	~~===The underlying JavaScript code===~~
	<source lang="javascript">		<source lang="javascript">
	var brd3 = JXG.JSXGraph.initBoard('box3', {axis:true, boundingbox:[-0.25,1.7,1.25,-0.5]});		var brd3 = JXG.JSXGraph.initBoard('box3', {axis:true, boundingbox:[-0.25,1.7,1.25,-0.5]});

Michael at 13:32, 8 June 2011

2011-06-08T13:32:47Z

@@ Line 1: / Line 1: @@
-====Pointwise convergence====
+==Pointwise convergence==
 <jsxgraph width="650" height="400" box="box">
 var brd = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox:[-0.25,1.7,1.25,-0.5]});
@@ Line 11: / Line 12: @@
 </jsxgraph>
-====Uniform convergence====
+===The underlying JavaScript code===
 <jsxgraph width="650" height="400" box="box2">
 var brd2 = JXG.JSXGraph.initBoard('box2', {axis:true, boundingbox:[-0.25,1.7,1.25,-0.5]});
@@ Line 21: / Line 34: @@
    {fontSize:'20px'});
 brd2.unsuspendUpdate();
 </jsxgraph>
 ===The underlying JavaScript code===
-<source lang="xml">
+<source lang="javascript">
 var brd2 = JXG.JSXGraph.initBoard('box2', {axis:true, boundingbox:[-0.25,1.7,1.25,-0.5]});
 brd2.suspendUpdate();
@@ Line 56: / Line 46: @@
    {fontSize:'20px'});
 brd2.unsuspendUpdate();
-</jsxgraph>
+</source>
 <jsxgraph width="650" height="400" box="box3">
@@ Line 69: / Line 59: @@
 </jsxgraph>
 </source>
 [[Category:Examples]]
 [[Category:Calculus]]

A WASSERMANN at 07:09, 28 May 2010

2010-05-28T07:09:30Z

@@ Line 56: / Line 56: @@
    {fontSize:'20px'});
 brd2.unsuspendUpdate();
 </jsxgraph>

A WASSERMANN at 07:08, 28 May 2010

2010-05-28T07:08:08Z

← Older revision		Revision as of 07:08, 28 May 2010
Line 27:		Line 27:
	brd3.suspendUpdate();		brd3.suspendUpdate();
	var n3 = brd3.create('slider',[[0.1,1.5],[1.1,1.5],[1,1,100]],{name:'n',snapWidth:1});		var n3 = brd3.create('slider',[[0.1,1.5],[1.1,1.5],[1,1,100]],{name:'n',snapWidth:1});
	var f3 = function(x){ return x*x+x/n2.Value(); }		var f3 = function(x){ return x*x+x/n3.Value(); }
	var plot3 = brd3.create('functiongraph',[f3,0,1], {strokeWidth:2});		var plot3 = brd3.create('functiongraph',[f3,0,1], {strokeWidth:2});
	brd3.createElement('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n3.Value())+'</sub>(x)=x<sup>2</sup>+x/'+n3.Value().toFixed(0);}],		brd3.createElement('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n3.Value())+'</sub>(x)=x<sup>2</sup>+x/'+n3.Value().toFixed(0);}],

A WASSERMANN at 07:07, 28 May 2010

2010-05-28T07:07:45Z

← Older revision		Revision as of 07:07, 28 May 2010
Line 1:		Line 1:
			====Pointwise convergence====
	<jsxgraph width="650" height="400" box="box">		<jsxgraph width="650" height="400" box="box">
	var brd = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox:[-0.25,1.7,1.25,-0.5]});		var brd = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox:[-0.25,1.7,1.25,-0.5]});
Line 10:		Line 11:
	</jsxgraph>		</jsxgraph>

			====Uniform convergence====
	<jsxgraph width="650" height="400" box="box2">		<jsxgraph width="650" height="400" box="box2">
	var brd2 = JXG.JSXGraph.initBoard('box2', {axis:true, boundingbox:[-0.25,1.7,1.25,-0.5]});		var brd2 = JXG.JSXGraph.initBoard('box2', {axis:true, boundingbox:[-0.25,1.7,1.25,-0.5]});
Line 21:		Line 23:
	</jsxgraph>		</jsxgraph>

			<jsxgraph width="650" height="400" box="box3">
			var brd3 = JXG.JSXGraph.initBoard('box3', {axis:true, boundingbox:[-0.25,1.7,1.25,-0.5]});
			brd3.suspendUpdate();
			var n3 = brd3.create('slider',[[0.1,1.5],[1.1,1.5],[1,1,100]],{name:'n',snapWidth:1});
			var f3 = function(x){ return x*x+x/n2.Value(); }
			var plot3 = brd3.create('functiongraph',[f3,0,1], {strokeWidth:2});
			brd3.createElement('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n3.Value())+'</sub>(x)=x<sup>2</sup>+x/'+n3.Value().toFixed(0);}],
			{fontSize:'20px'});
			brd3.unsuspendUpdate();
			</jsxgraph>

	===The underlying JavaScript code===		===The underlying JavaScript code===

A WASSERMANN at 16:18, 27 May 2010

2010-05-27T16:18:30Z

← Older revision		Revision as of 16:18, 27 May 2010
Line 24:		Line 24:
	===The underlying JavaScript code===		===The underlying JavaScript code===
	<source lang="xml">		<source lang="xml">
	<jsxgraph width="~~600~~" height="400" box="box">		<jsxgraph width="650" height="400" box="box">
	var brd = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox:[-0.25,1.7,1.25,-0.5]});		var brd = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox:[-0.25,1.7,1.25,-0.5]});
	brd.suspendUpdate();		brd.suspendUpdate();
Line 30:		Line 30:
	var f = function(x){ return Math.pow(x,n.Value()); }		var f = function(x){ return Math.pow(x,n.Value()); }
	var plot = brd.create('functiongraph',[f,0,1], {strokeWidth:2});		var plot = brd.create('functiongraph',[f,0,1], {strokeWidth:2});
	brd.createElement('text',[0.2,0.7,function(){return 'f(x)=x<sup>'+Math.floor(n.Value())+'</sup>';}],		brd.createElement('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n.Value())+'</sub>(x)=x<sup>'+Math.floor(n.Value())+'</sup>';}],
	{fontSize:'20px'});		{fontSize:'20px'});
	brd.unsuspendUpdate();		brd.unsuspendUpdate();
Line 39:		Line 39:
	brd2.suspendUpdate();		brd2.suspendUpdate();
	var n2 = brd2.create('slider',[[0.1,1.5],[1.1,1.5],[1,1,100]],{name:'n',snapWidth:1});		var n2 = brd2.create('slider',[[0.1,1.5],[1.1,1.5],[1,1,100]],{name:'n',snapWidth:1});
	var f2 = function(x){ return x*x/n2.Value(); }		var f2 = function(x){ return 4(1-x)x/n2.Value(); }
	var plot2 = brd2.create('functiongraph',[f2,0,1], {strokeWidth:2});		var plot2 = brd2.create('functiongraph',[f2,0,1], {strokeWidth:2});
	brd2.createElement('text',[0.2,0.7,function(){return 'f(x)=x~~<sup>2</sup>~~/'+n2.Value().toFixed(0);}],		brd2.createElement('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n2.Value())+'</sub>(x)=4(1-x)x/'+n2.Value().toFixed(0);}],
	{fontSize:'20px'});		{fontSize:'20px'});
	brd2.unsuspendUpdate();		brd2.unsuspendUpdate();
	</jsxgraph>		</jsxgraph>

	</source>		</source>

	[[Category:Examples]]		[[Category:Examples]]
	[[Category:Calculus]]		[[Category:Calculus]]

A WASSERMANN at 16:18, 27 May 2010

2010-05-27T16:18:06Z

← Older revision		Revision as of 16:18, 27 May 2010
Line 5:		Line 5:
	var f = function(x){ return Math.pow(x,n.Value()); }		var f = function(x){ return Math.pow(x,n.Value()); }
	var plot = brd.create('functiongraph',[f,0,1], {strokeWidth:2});		var plot = brd.create('functiongraph',[f,0,1], {strokeWidth:2});
	brd.createElement('text',[0.2,0.7,function(){return 'f<sub>'++Math.floor(n.Value())+'</sub>(x)=x<sup>'+Math.floor(n.Value())+'</sup>';}],		brd.createElement('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n.Value())+'</sub>(x)=x<sup>'+Math.floor(n.Value())+'</sup>';}],
	{fontSize:'20px'});		{fontSize:'20px'});
	brd.unsuspendUpdate();		brd.unsuspendUpdate();
Line 16:		Line 16:
	var f2 = function(x){ return 4(1-x)x/n2.Value(); }		var f2 = function(x){ return 4(1-x)x/n2.Value(); }
	var plot2 = brd2.create('functiongraph',[f2,0,1], {strokeWidth:2});		var plot2 = brd2.create('functiongraph',[f2,0,1], {strokeWidth:2});
	brd2.createElement('text',[0.2,0.7,function(){return 'f<sub>'++Math.floor(n2.Value())+'</sub>(x)=4(1-x)x/'+n2.Value().toFixed(0);}],		brd2.createElement('text',[0.2,0.7,function(){return 'f<sub>'+Math.floor(n2.Value())+'</sub>(x)=4(1-x)x/'+n2.Value().toFixed(0);}],
	{fontSize:'20px'});		{fontSize:'20px'});
	brd2.unsuspendUpdate();		brd2.unsuspendUpdate();