Convergence of series - Revision history

A WASSERMANN at 09:36, 30 January 2019

2019-01-30T09:36:49Z

@@ Line 37: / Line 37: @@
 var a_n;
 var start_approx = function() {
    var txtraw = document.getElementById('input').value;
    a_n = board.jc.snippet(txtraw, true, 'n', true);
@@ Line 45: / Line 48: @@
 var clear_all = function() {
    clearTimeout(TO);
 };
@@ Line 55: / Line 55: @@
 <source lang="javascript">
   var board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-3, 8, 50, -8]});
   var series = board.create('curve', [[], []], {strokeColor: 'black'});
   var n;
@@ Line 106: / Line 82: @@
 var a_n;
 var start_approx = function() {
    var txtraw = document.getElementById('input').value;
    a_n = board.jc.snippet(txtraw, true, 'n', true);
@@ Line 114: / Line 93: @@
 var clear_all = function() {
    clearTimeout(TO);
 };
 </source>
 [[Category:Examples]]
 [[Category:Calculus]]

2019-01-07T17:56:58Z

@@ Line 4: / Line 4: @@
 <p>
 nth-element of the series: <input type="text" id="input" value="1 / 2^n">
-start summation at n = <input type="number" id="startval" value="1" style="width:2em"><br />
+start summation at n = <input type="number" id="startval" value="0" style="width:2em"><br />
 <input type="button" value="start" onClick="start_approx()">
 <input type="button" value="stop" onClick="clear_all()">
@@ Line 62: / Line 62: @@
      series.dataX.push(n);
      series.dataY.push(val);
   };
@@ Line 79: / Line 107: @@
 var start_approx = function() {
    var txtraw = document.getElementById('input').value;
    a_n = board.jc.snippet(txtraw, true, 'n', true);
    approx();

2019-01-07T17:54:52Z

← Older revision		Revision as of 17:54, 7 January 2019
Line 10:		Line 10:
	<jsxgraph width="500" height="500" box="box">		<jsxgraph width="500" height="500" box="box">
	var board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-3, 8, 50, -8]});		var board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-3, 8, 50, -8]});
	var series = board.create('curve', [[0], [1]], {strokeColor: 'black'});		var series = board.create('curve', [[], []], {strokeColor: 'black'});
	var n;		var n;

	var series_add = function() {		var series_add = function() {
	var val = series.dataY[n - 1] ~~+ a_n(n)~~;		var val = a_n(n);
			if (series.dataY.length > 0) {
			val += series.dataY[series.dataY.length - 1];
			}
	series.dataX.push(n);		series.dataX.push(n);
	series.dataY.push(val);		series.dataY.push(val);
Line 42:		Line 45:
	var clear_all = function() {		var clear_all = function() {
	clearTimeout(TO);		clearTimeout(TO);
	series.dataX = [0];		series.dataX = [];
	series.dataY = [1];		series.dataY = [];
			n = 0;
	};		};

2019-01-07T17:51:41Z

← Older revision		Revision as of 17:51, 7 January 2019
Line 4:		Line 4:
	<p>		<p>
	nth-element of the series: <input type="text" id="input" value="1 / 2^n">		nth-element of the series: <input type="text" id="input" value="1 / 2^n">
			start summation at n = <input type="number" id="startval" value="1" style="width:2em"><br />
	<input type="button" value="start" onClick="start_approx()">		<input type="button" value="start" onClick="start_approx()">
	<input type="button" value="stop" onClick="clear_all()">		<input type="button" value="stop" onClick="clear_all()">
Line 10:		Line 11:
	var board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-3, 8, 50, -8]});		var board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-3, 8, 50, -8]});
	var series = board.create('curve', [[0], [1]], {strokeColor: 'black'});		var series = board.create('curve', [[0], [1]], {strokeColor: 'black'});
			var n;

	var series_add = function() {		var series_add = function() {
	var ~~n = series.dataX.length,~~		var val = series.dataY[n - 1] + a_n(n);
	val = series.dataY[n - 1] + a_n(n);
	series.dataX.push(n);		series.dataX.push(n);
	series.dataY.push(val);		series.dataY.push(val);
			n++;
	};		};

Line 34:		Line 36:
	var txtraw = document.getElementById('input').value;		var txtraw = document.getElementById('input').value;
	a_n = board.jc.snippet(txtraw, true, 'n', true);		a_n = board.jc.snippet(txtraw, true, 'n', true);
			n = parseInt(document.getElementById('startval').value);
	approx();		approx();
	}		}

2019-01-07T08:44:01Z

@@ Line 3: / Line 3: @@
 <html>
 <p>
-nth-element of the series: <input type="text" id="input" value="1 / n">
+nth-element of the series: <input type="text" id="input" value="1 / 2^n">
 <input type="button" value="start" onClick="start_approx()">
 <input type="button" value="stop" onClick="clear_all()">
@@ Line 47: / Line 47: @@
 ===The underlying JavaScript code===
 <source lang="javascript">
 </source>
 [[Category:Examples]]
 [[Category:Calculus]]

2019-01-07T08:43:02Z

← Older revision		Revision as of 08:43, 7 January 2019
Line 1:		Line 1:
	Compute partial sums of the series		Compute partial sums of the series
	<math> (\sum_{n=0}^\infty a_n</math>.		<math> \sum_{n=0}^\infty a_n</math>.
	<html>		<html>
	<p>		<p>