Difference between revisions of "Power Series for sine"
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== Power Series for Sine == | == Power Series for Sine == | ||
| − | + | <jsxgraph with="700" height="400"> | |
| + | var brd = JXG.JSXGraph.initBoard('jxgbox', {boundingbox:[-7,3,8,-3]}); | ||
| + | var axx = brd.create('axis',[[0,0],[1,0]]); | ||
| + | var axy = brd.create('axis',[[0,0],[0,1]]); | ||
| − | < | + | brd.suspendUpdate(); |
| + | brd.create('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"}); | ||
| + | var s = brd.create('slider', [[0.75,-1.5],[5.75,-1.5],[0,1,10]], {name:'S',snapWidth:1}); | ||
| + | var x0 = brd.create('glider', [0,0,axx], {name:'x_0'}); | ||
| + | brd.create('functiongraph', [ | ||
| + | function(t) { | ||
| + | var val = 0, i, sv = s.Value()+1, a; | ||
| + | for(i = 0; i < sv; i++) { | ||
| + | if (i%4==0) { | ||
| + | a = Math.sin(x0.X()); | ||
| + | } else if (i%4==1) { | ||
| + | a = Math.cos(x0.X()); | ||
| + | } else if (i%4==2) { | ||
| + | a = -Math.sin(x0.X()); | ||
| + | } else if (i%4==3) { | ||
| + | a = -Math.cos(x0.X()); | ||
| + | } | ||
| + | val = val + a*Math.pow(t-x0.X(), i) / JXG.Math.factorial(i); | ||
| + | } | ||
| + | return val; | ||
| + | }, | ||
| + | -10, 10], {strokeColor: "#bb0000"}); | ||
| + | brd.unsuspendUpdate(); | ||
| + | </jsxgraph> | ||
| + | |||
| + | ===The underlying JavaScript code=== | ||
| + | <source lang="javascript"> | ||
var brd = JXG.JSXGraph.initBoard('jxgbox', {boundingbox:[-7,3,8,-3]}); | var brd = JXG.JSXGraph.initBoard('jxgbox', {boundingbox:[-7,3,8,-3]}); | ||
var axx = brd.create('axis',[[0,0],[1,0]]); | var axx = brd.create('axis',[[0,0],[1,0]]); | ||
| Line 11: | Line 40: | ||
var s = brd.create('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'S',snapWidth:1}); | var s = brd.create('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'S',snapWidth:1}); | ||
var x0 = brd.create('glider', [0,0,axx], {name:'x_0'}); | var x0 = brd.create('glider', [0,0,axx], {name:'x_0'}); | ||
| − | |||
brd.create('functiongraph', [ | brd.create('functiongraph', [ | ||
function(t) { | function(t) { | ||
| − | var val = 0, i, sv = s.Value()+1; | + | var val = 0, i, sv = s.Value()+1, a; |
for(i = 0; i < sv; i++) { | for(i = 0; i < sv; i++) { | ||
| − | + | if (i%4==0) { | |
| + | a = Math.sin(x0.X()); | ||
| + | } else if (i%4==1) { | ||
| + | a = Math.cos(x0.X()); | ||
| + | } else if (i%4==2) { | ||
| + | a = -Math.sin(x0.X()); | ||
| + | } else if (i%4==3) { | ||
| + | a = -Math.cos(x0.X()); | ||
| + | } | ||
| + | val = val + a*Math.pow(t-x0.X(), i) / JXG.Math.factorial(i); | ||
} | } | ||
return val; | return val; | ||
}, | }, | ||
-10, 10], {strokeColor: "#bb0000"}); | -10, 10], {strokeColor: "#bb0000"}); | ||
| − | |||
brd.unsuspendUpdate(); | brd.unsuspendUpdate(); | ||
| + | </source> | ||
| − | + | [[Category:Calculus]] | |
| + | [[Category:Examples]] | ||
Latest revision as of 16:41, 20 February 2013
Power Series for Sine
The underlying JavaScript code
var brd = JXG.JSXGraph.initBoard('jxgbox', {boundingbox:[-7,3,8,-3]});
var axx = brd.create('axis',[[0,0],[1,0]]);
var axy = brd.create('axis',[[0,0],[0,1]]);
brd.suspendUpdate();
brd.create('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"});
var s = brd.create('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'S',snapWidth:1});
var x0 = brd.create('glider', [0,0,axx], {name:'x_0'});
brd.create('functiongraph', [
function(t) {
var val = 0, i, sv = s.Value()+1, a;
for(i = 0; i < sv; i++) {
if (i%4==0) {
a = Math.sin(x0.X());
} else if (i%4==1) {
a = Math.cos(x0.X());
} else if (i%4==2) {
a = -Math.sin(x0.X());
} else if (i%4==3) {
a = -Math.cos(x0.X());
}
val = val + a*Math.pow(t-x0.X(), i) / JXG.Math.factorial(i);
}
return val;
},
-10, 10], {strokeColor: "#bb0000"});
brd.unsuspendUpdate();
