Power series - pointwise - Revision history

A WASSERMANN at 18:01, 7 January 2019

2019-01-07T18:01:41Z

← Older revision		Revision as of 18:01, 7 January 2019
Line 40:		Line 40:
	p.on('up', function(evt) {		p.on('up', function(evt) {

	var x, n, m = 50;		var x, n, s, m = 50;
	var txtraw = document.getElementById('input').value;		var txtraw = document.getElementById('input').value;
	var a_n = board.jc.snippet(txtraw, true, 'x, n', true);		var a_n = board.jc.snippet(txtraw, true, 'x, n', true);
			var n_0 = parseInt(document.getElementById('startval').value);

	~~var s = 0;~~
	x = p.X();		x = p.X();
	for (n = 0; n < m; n++) {		for (n = n_0, s = 0; n < m; n++) {
	s += a_n(x, n);		s += a_n(x, n);
	}		}
	q.moveTo([x, s], 0);		q.moveTo([x, s], 0);
	});		});

	</source>		</source>

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

2019-01-07T18:00:18Z

← Older revision		Revision as of 18:00, 7 January 2019
Line 5:		Line 5:
	<html>		<html>
	<p>		<p>
	nth-coefficient: <input type="text" id="input" value="x^n * 1 / factorial(n)">		nth-coefficient: <input type="text" id="input" value="x^n * 1 / factorial(n)">,
			start summation at n = <input type="number" id="startval" value="0" style="width:2em"><br />
	</html>		</html>

Line 16:		Line 17:
	p.on('up', function(evt) {		p.on('up', function(evt) {

	var x, n, m = 50;		var x, n, s, m = 50;
	var txtraw = document.getElementById('input').value;		var txtraw = document.getElementById('input').value;
	var a_n = board.jc.snippet(txtraw, true, 'x, n', true);		var a_n = board.jc.snippet(txtraw, true, 'x, n', true);
			var n_0 = parseInt(document.getElementById('startval').value);

	~~var s = 0;~~
	x = p.X();		x = p.X();
	for (n = 0; n < m; n++) {		for (n = n_0, s = 0; n < m; n++) {
	s += a_n(x, n);		s += a_n(x, n);
	}		}

2019-01-07T11:07:44Z

← Older revision		Revision as of 11:07, 7 January 2019
Line 23:		Line 23:
	x = p.X();		x = p.X();
	for (n = 0; n < m; n++) {		for (n = 0; n < m; n++) {
	s += a_n~~(x, n); // * Math.pow~~(x, n);		s += a_n(x, n);
	}		}
	q.moveTo([x, s], 0);		q.moveTo([x, s], 0);
Line 41:		Line 41:
	var x, n, m = 50;		var x, n, m = 50;
	var txtraw = document.getElementById('input').value;		var txtraw = document.getElementById('input').value;
	var a_n = board.jc.snippet(txtraw, true, 'n', true);		var a_n = board.jc.snippet(txtraw, true, 'x, n', true);

	var s = 0;		var s = 0;
	x = p.X();		x = p.X();
	for (n = 0; n < m; n++) {		for (n = 0; n < m; n++) {
	s += a_n~~(n) * Math.pow~~(x, n);		s += a_n(x, n);
	}		}
	q.moveTo([x, s], 0);		q.moveTo([x, s], 0);

2019-01-07T11:05:43Z

← Older revision		Revision as of 11:05, 7 January 2019
Line 5:		Line 5:
	<html>		<html>
	<p>		<p>
	nth-coefficient: <input type="text" id="input" value="1 / factorial(n)">		nth-coefficient: <input type="text" id="input" value="x^n * 1 / factorial(n)">
	</html>		</html>

Line 18:		Line 18:
	var x, n, m = 50;		var x, n, m = 50;
	var txtraw = document.getElementById('input').value;		var txtraw = document.getElementById('input').value;
	var a_n = board.jc.snippet(txtraw, true, 'n', true);		var a_n = board.jc.snippet(txtraw, true, 'x, n', true);

	var s = 0;		var s = 0;
	x = p.X();		x = p.X();
	for (n = 0; n < m; n++) {		for (n = 0; n < m; n++) {
	s += a_n(n) * Math.pow(x, n);		s += a_n(x, n); // * Math.pow(x, n);
	}		}
	q.moveTo([x, s], 0);		q.moveTo([x, s], 0);

2019-01-07T08:17:19Z

← Older revision		Revision as of 08:17, 7 January 2019
Line 6:		Line 6:
	<p>		<p>
	nth-coefficient: <input type="text" id="input" value="1 / factorial(n)">		nth-coefficient: <input type="text" id="input" value="1 / factorial(n)">
	~~<input type="button" value="clear all" onClick="clearAll()">~~
	</html>		</html>

2019-01-07T08:16:37Z

← Older revision		Revision as of 08:16, 7 January 2019
Line 1:		Line 1:
	Approximate the value of		Approximate the value of
	:<math> \sum_{n=0}^\infty a_n\cdot x^n</math>		:<math> \sum_{n=0}^\infty a_n\cdot x^n</math>
	for various values of <math>x</math>		for various values of <math>x</math>.
			Drag the point 'x', the blue point shows the value of the above series.
	<html>		<html>
			<p>
	nth-coefficient: <input type="text" id="input" value="1 / factorial(n)">		nth-coefficient: <input type="text" id="input" value="1 / factorial(n)">
	<input type="button" value="clear all" onClick="clearAll()">		<input type="button" value="clear all" onClick="clearAll()">

2019-01-07T08:14:59Z

@@ Line 1: / Line 1: @@
 <html>
 nth-coefficient: <input type="text" id="input" value="1 / factorial(n)">
@@ Line 25: / Line 28: @@
 </jsxgraph>

2019-01-07T08:10:49Z

← Older revision		Revision as of 08:10, 7 January 2019
Line 5:		Line 5:

	<jsxgraph width="600" height="600">		<jsxgraph width="600" height="600">
	var board = JXG.JSXGraph.initBoard('jxgbox', {boundingbox:[-8,8,8,-8], axis:true});		var board = JXG.JSXGraph.initBoard('jxgbox', {boundingbox:[-8,8,8,-8], axis:true, showClearTraces: true});

	var p = board.create('glider', [0, 0, board.defaultAxes.x] , {name: 'x'});		var p = board.create('glider', [0, 0, board.defaultAxes.x] , {name: 'x'});
	var q = board.create('point', [0, 1], {name: '', color: 'blue', trace: true});		var q = board.create('point', [0, 1], {name: '', color: 'blue', trace: true, fixed: true});

	p.on('up', function(evt) {		p.on('up', function(evt) {

2019-01-07T08:09:30Z

← Older revision		Revision as of 08:09, 7 January 2019
Line 1:		Line 1:
			<html>
	nth-coefficient: <input type="text" id="input" value="1 / factorial(n)">		nth-coefficient: <input type="text" id="input" value="1 / factorial(n)">
	<input type="button" value="clear all" onClick="clearAll()">		<input type="button" value="clear all" onClick="clearAll()">
			</html>

	<jsxgraph width="600" height="600">		<jsxgraph width="600" height="600">
Line 6:		Line 8:

	var p = board.create('glider', [0, 0, board.defaultAxes.x] , {name: 'x'});		var p = board.create('glider', [0, 0, board.defaultAxes.x] , {name: 'x'});
	var q = board.create('point', [0, 0], {name: '', color: 'blue', trace: true});		var q = board.create('point', [0, 1], {name: '', color: 'blue', trace: true});
	p.on('up', function(evt) {		p.on('up', function(evt) {

2019-01-07T08:08:12Z

@@ Line 1: / Line 1: @@
 <jsxgraph width="600" height="600">
 var board = JXG.JSXGraph.initBoard('jxgbox', {boundingbox:[-8,8,8,-8], axis:true});
-var p = board.create('glider', [1, 0, board.defaultAxes.x]);
+var p = board.create('glider', [0, 0, board.defaultAxes.x] , {name: 'x'});
 </jsxgraph>