Difference between revisions of "Iteration Command"

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 command Iteration[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, then Iteration[g, 3, 4] yields (((3+7) +7) +7) +7 = 31.

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.

@@ Line 1: / Line 1: @@
 <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|function}}
 ;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.
-:{{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>}}
+:{{Examples| 1=<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>}}
+:*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>}}
 ;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, see the manual for IterationList command for details.
+: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.}}

Difference between revisions of "Iteration Command"

Revision as of 12:00, 9 August 2015

Iteration

Command Categories (All commands)