Difference between revisions of "Iteration Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|function}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|function}} | ||
;Iteration[ <Function>, <Start Value>, <Number of Iterations> ] | ;Iteration[ <Function>, <Start Value>, <Number of Iterations> ] | ||
− | :Iterates the function ''n'' times using the given start value. | + | :Iterates the function ''n'' times (''n'' = number of iterations) using the given start value. |
− | :{{ | + | :{{Examples| 1=<div> |
− | : | + | :*After defining <code>f(x) = x^2</code> the command <code>Iteration[f, 3, 2]</code> gives you the result (3<sup>2</sup>)<sup>2</sup> = 81. |
+ | :*''Repeated addition'': To obtain the repeated addition of 7 to the number 3, define <code>g(x) = x + 7</code>, then <code>Iteration[g, 3, 4]</code> yields (((3+7) +7) +7) +7 = 31.</div>}} | ||
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;Iteration[ <Expression>, <Variable Name>, ..., <Start Values>, <Number of Iterations> ] | ;Iteration[ <Expression>, <Variable Name>, ..., <Start Values>, <Number of Iterations> ] | ||
− | :Iterates the expression ''n'' times using the given start value. The result is then the last element of [[IterationList Command]] with the same parameters | + | :Iterates the expression ''n'' times (''n'' = number of iterations) using the given start value. The result is then the last element of [[IterationList Command]] with the same parameters. |
+ | |||
+ | {{Note|See [[IterationList Command]] for further details.}} |
Revision as of 12:00, 9 August 2015
- Iteration[ <Function>, <Start Value>, <Number of Iterations> ]
- Iterates the function n times (n = number of iterations) using the given start value.
- Examples:
- After defining
f(x) = x^2
the commandIteration[f, 3, 2]
gives you the result (32)2 = 81. - Repeated addition: To obtain the repeated addition of 7 to the number 3, define
g(x) = x + 7
, thenIteration[g, 3, 4]
yields (((3+7) +7) +7) +7 = 31.
- After defining
- Iteration[ <Expression>, <Variable Name>, ..., <Start Values>, <Number of Iterations> ]
- Iterates the expression n times (n = number of iterations) using the given start value. The result is then the last element of IterationList Command with the same parameters.
Note: See IterationList Command for further details.