Difference between revisions of "Power series for the exponential function"
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Jump to navigationJump to searchA WASSERMANN (talk | contribs) |
A WASSERMANN (talk | contribs) |
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Line 14: | Line 14: | ||
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.exp(t); }, "t", -10, 10],{strokeColor: "#cccccc"}); | board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.exp(t); }, "t", -10, 10],{strokeColor: "#cccccc"}); | ||
// | // | ||
− | var s = board1.createElement('slider', [0.75,-2.0,5,0, | + | var s = board1.createElement('slider', [0.75,-2.0,5,0,12,0], {name:'S'}); |
− | var t = board1.createElement('text',[- | + | var t = board1.createElement('text',[-4,8, function() { |
var val = 0; | var val = 0; | ||
for(var i=0;i<= Math.floor(s.X()); i++) { | for(var i=0;i<= Math.floor(s.X()); i++) { | ||
Line 35: | Line 35: | ||
"t", -10, 10], {strokeColor: "#bb0000", curveType:'plot'}); | "t", -10, 10], {strokeColor: "#bb0000", curveType:'plot'}); | ||
board1.unsuspendUpdate(); | board1.unsuspendUpdate(); | ||
− | |||
− | |||
</script> | </script> | ||
</html> | </html> | ||
<source lang="javascript"> | <source lang="javascript"> | ||
+ | // Board | ||
+ | board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 250, unitX: 50, unitY: 10}); | ||
+ | board1.suspendUpdate(); | ||
+ | // Axes and Properties | ||
+ | board1.createElement('axis', [[0,0], [1,0]], {}); | ||
+ | board1.createElement('axis', [[0,0], [0,1]], {}); | ||
+ | // | ||
+ | board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.exp(t); }, "t", -10, 10],{strokeColor: "#cccccc"}); | ||
+ | // | ||
+ | var s = board1.createElement('slider', [0.75,-2.0,5,0,12,0], {name:'S'}); | ||
+ | var t = board1.createElement('text',[-4,8, function() { | ||
+ | var val = 0; | ||
+ | for(var i=0;i<= Math.floor(s.X()); i++) { | ||
+ | val+= 1.0/board1.factorial(i); | ||
+ | } | ||
+ | return 'e~'+board1.round(val,10); | ||
+ | }, | ||
+ | ]); | ||
+ | // | ||
+ | board1.createElement('curve', [ | ||
+ | 't', | ||
+ | function(t) { | ||
+ | var val = 0; | ||
+ | for(var i=0;i<= Math.floor(s.X()); i++) { | ||
+ | val+= Math.pow(t,i)/board1.factorial(i); | ||
+ | } | ||
+ | return val; | ||
+ | }, | ||
+ | "t", -10, 10], {strokeColor: "#bb0000", curveType:'plot'}); | ||
+ | board1.unsuspendUpdate(); | ||
</source> | </source> | ||
[[Category:Examples]] | [[Category:Examples]] |
Revision as of 11:11, 11 December 2008
// Board
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 250, unitX: 50, unitY: 10});
board1.suspendUpdate();
// Axes and Properties
board1.createElement('axis', [[0,0], [1,0]], {});
board1.createElement('axis', [[0,0], [0,1]], {});
//
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.exp(t); }, "t", -10, 10],{strokeColor: "#cccccc"});
//
var s = board1.createElement('slider', [0.75,-2.0,5,0,12,0], {name:'S'});
var t = board1.createElement('text',[-4,8, function() {
var val = 0;
for(var i=0;i<= Math.floor(s.X()); i++) {
val+= 1.0/board1.factorial(i);
}
return 'e~'+board1.round(val,10);
},
]);
//
board1.createElement('curve', [
't',
function(t) {
var val = 0;
for(var i=0;i<= Math.floor(s.X()); i++) {
val+= Math.pow(t,i)/board1.factorial(i);
}
return val;
},
"t", -10, 10], {strokeColor: "#bb0000", curveType:'plot'});
board1.unsuspendUpdate();