Difference between revisions of "Iteration Command"

From GeoGebra Manual
Jump to: navigation, search
(command syntax: changed [ ] into ( ))
(:<code>Iteration(a^2+1,a,{(1+ί)/(sqrt(2))},5)</code> will do a repeated iteration on a complex number)
 
Line 8: Line 8:
 
;Iteration( <Expression>, <Variable Name>, ..., <Start Values>, <Number of Iterations> )
 
;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.
 
: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.}}
 
{{Note|See [[IterationList Command]] for further details.}}

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.
© 2024 International GeoGebra Institute