Approximation of e - Revision history

A WASSERMANN at 22:18, 6 January 2019

2019-01-06T22:18:01Z

2019-01-06T22:13:07Z

@@ Line 30: / Line 30: @@
   var txt1 = board.create('text', [15, 1.6, function() { return 'n=' + (seq.dataX.length-1) + ': value = ' + seq.dataY[seq.dataY.length - 1]; }], {strokeColor: 'blue'});
   var txt2 = board.create('text', [15, 1.8, function() { return 'n=' + (series.dataX.length-1) + ': value = ' + series.dataY[series.dataY.length - 1]; }], {strokeColor: 'black'});
   var approx = function() {
@@ Line 37: / Line 36: @@
       board.update();
+  }
   setInterval(approx, 500);
@@ Line 43: / Line 41: @@
 })();
 </jsxgraph>

2019-01-06T22:11:13Z

← Older revision		Revision as of 22:11, 6 January 2019
Line 8:		Line 8:
	(function(){		(function(){

	var board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-1, 3, 50, 0.5]});		var board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-3, 3, 50, 0.5]});
	var line = board.create('line', [[-10, Math.E], [100, Math.E]], {strokeColor: 'green', strokeWidth: 1});		var line = board.create('line', [[-10, Math.E], [100, Math.E]], {strokeColor: 'green', strokeWidth: 1});
	var seq = board.create('curve', [[0], [1]], {strokeColor: 'blue'});		var seq = board.create('curve', [[0], [1]], {strokeColor: 'blue'});

2019-01-06T22:11:01Z

← Older revision		Revision as of 22:11, 6 January 2019
Line 8:		Line 8:
	(function(){		(function(){

	var board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-~~0.5~~, 3, 50, 0.5]});		var board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-1, 3, 50, 0.5]});
	var line = board.create('line', [[-10, Math.E], [100, Math.E]], {strokeColor: 'green', strokeWidth: 1});		var line = board.create('line', [[-10, Math.E], [100, Math.E]], {strokeColor: 'green', strokeWidth: 1});
	var seq = board.create('curve', [[0], [1]], {strokeColor: 'blue'});		var seq = board.create('curve', [[0], [1]], {strokeColor: 'blue'});
Line 28:		Line 28:
	};		};

	var txt1 = board.create('text', [15, 1.5, function() { return 'n=' + (seq.dataX.length-1) + ': value = ' + seq.dataY[seq.dataY.length - 1]; }], {strokeColor: 'blue'});		var txt1 = board.create('text', [15, 1.6, function() { return 'n=' + (seq.dataX.length-1) + ': value = ' + seq.dataY[seq.dataY.length - 1]; }], {strokeColor: 'blue'});
	var txt2 = board.create('text', [15, 2, function() { return 'n=' + (series.dataX.length-1) + ': value = ' + series.dataY[series.dataY.length - 1]; }], {strokeColor: 'black'});		var txt2 = board.create('text', [15, 1.8, function() { return 'n=' + (series.dataX.length-1) + ': value = ' + series.dataY[series.dataY.length - 1]; }], {strokeColor: 'black'});

2019-01-06T22:10:13Z

← Older revision		Revision as of 22:10, 6 January 2019
Line 28:		Line 28:
	};		};

	var txt1 = board.create('text', [5, 1, function() { return 'n=' + (seq.dataX.length-1) + ' value = ' + seq.dataY[seq.dataY.length - 1]; }], {strokeColor: 'blue'});		var txt1 = board.create('text', [15, 1.5, function() { return 'n=' + (seq.dataX.length-1) + ': value = ' + seq.dataY[seq.dataY.length - 1]; }], {strokeColor: 'blue'});
			var txt2 = board.create('text', [15, 2, function() { return 'n=' + (series.dataX.length-1) + ': value = ' + series.dataY[series.dataY.length - 1]; }], {strokeColor: 'black'});

2019-01-06T22:08:46Z

← Older revision		Revision as of 22:08, 6 January 2019
Line 27:		Line 27:
	series.dataY.push(val);		series.dataY.push(val);
	};		};

			var txt1 = board.create('text', [5, 1, function() { return 'n=' + (seq.dataX.length-1) + ' value = ' + seq.dataY[seq.dataY.length - 1]; }], {strokeColor: 'blue'});


	var approx = function() {		var approx = function() {

2019-01-06T22:05:37Z

← Older revision		Revision as of 22:05, 6 January 2019
Line 1:		Line 1:
			This little animation approximates <math>e</math> (displayed by the horizontal green line) by the sequence (blue line)
			:<math>(1+\frac{1}{n})^n</math>
			and by the series (black line)
			:<math> \sum_{n=0}^\infty \frac{1}{n!} </math>


	<jsxgraph width="500" height="500" box="box">		<jsxgraph width="500" height="500" box="box">
	(function(){		(function(){

2019-01-06T22:00:21Z

← Older revision		Revision as of 22:00, 6 January 2019
Line 2:		Line 2:
	(function(){		(function(){

	var board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-0.5, 3, 20, 0.5]});		var board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-0.5, 3, 50, 0.5]});
	var line = board.create('line', [[-10, Math.E], [100, Math.E]], {strokeColor: 'green', strokeWidth: 1});		var line = board.create('line', [[-10, Math.E], [100, Math.E]], {strokeColor: 'green', strokeWidth: 1});
	var seq = board.create('curve', [[0], [1]], {strokeColor: 'blue'});		var seq = board.create('curve', [[0], [1]], {strokeColor: 'blue'});

2019-01-06T21:59:50Z

← Older revision		Revision as of 21:59, 6 January 2019
Line 2:		Line 2:
	(function(){		(function(){

	var board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-10, 3, 10, 0.5]});		var board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-0.5, 3, 20, 0.5]});
	var line = board.create('line', [[-10, Math.E], [100, Math.E]], {strokeColor: 'green', strokeWidth: 1});		var line = board.create('line', [[-10, Math.E], [100, Math.E]], {strokeColor: 'green', strokeWidth: 1});
	var seq = board.create('curve', [[0], [1]], {strokeColor: 'blue'});		var seq = board.create('curve', [[0], [1]], {strokeColor: 'blue'});

2019-01-06T21:59:15Z

← Older revision		Revision as of 21:59, 6 January 2019
Line 2:		Line 2:
	(function(){		(function(){

	var board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-10, 3, ~~100~~, -1]});		var board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-10, 3, 10, 0.5]});
	var line = board.create('line', [[-10, Math.E], [100, Math.E]], {strokeColor: 'green', strokeWidth: 1});		var line = board.create('line', [[-10, Math.E], [100, Math.E]], {strokeColor: 'green', strokeWidth: 1});
	var seq = board.create('curve', [[0], [1]], {strokeColor: 'blue'});		var seq = board.create('curve', [[0], [1]], {strokeColor: 'blue'});