Difference between revisions of "Iteration Command"

Latest revision as of 23:24, 17 July 2018

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 the output of IterationList Command, with the same parameters.; Example: :Iteration(a^2+1,a,{(1+ί)/(sqrt(2))},5) will do a repeated iteration on a complex number

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> ]
+;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.
-;Iteration[ <Expression>, <Variable Name>, ..., <Start Values>, <Number of Iterations> ]
+:*''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>}}
-: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.
+;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 the output of [[IterationList Command]], with the same parameters.
+:{{Example| 1=
+:<code>Iteration(a^2+1,a,{(1+ί)/(sqrt(2))},5)</code> will do a repeated iteration on a complex number
+}}
+{{Note|See [[IterationList Command]] for further details.}}

Difference between revisions of "Iteration Command"

Latest revision as of 23:24, 17 July 2018

Iteration

Command Categories (All commands)