Difference between revisions of "Iteration Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|function}}
{{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 using the given start value.
 
:{{Example| 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.</div>}}
 
:{{Example| 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.</div>}}
 
:{{example|1='''repeated addition'''<div>To obtain the repeated addition of 7 to the number 3:</div> <div>Let <code>g(x) = x + 7</code>, then <code>Iteration[g, 3, 4]</code> yields ''(((3+7) +7) +7) +7 = 31''.</div>}}
 
:{{example|1='''repeated addition'''<div>To obtain the repeated addition of 7 to the number 3:</div> <div>Let <code>g(x) = x + 7</code>, then <code>Iteration[g, 3, 4]</code> yields ''(((3+7) +7) +7) +7 = 31''.</div>}}

Revision as of 13:34, 5 August 2015


Iteration[ <Function>, <Start Value>, <Number of Iterations> ]
Iterates the function n times using the given start value.
Example:
After defining f(x) = x^2 the command Iteration[f, 3, 2] gives you the result (32)2 = 81.
Example: repeated addition
To obtain the repeated addition of 7 to the number 3:
Let g(x) = x + 7, then Iteration[g, 3, 4] yields (((3+7) +7) +7) +7 = 31.
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