Difference between revisions of "Iteration Command"
From GeoGebra Manual
m (Text replace - ";(.*)\[(.*)\]" to ";$1($2)") |
(:<code>Iteration(a^2+1,a,{(1+ί)/(sqrt(2))},5)</code> will do a repeated iteration on a complex number) |
||
| (One intermediate revision by one other user not shown) | |||
| Line 3: | Line 3: | ||
:Iterates the function ''n'' times (''n'' = number of iterations) using the given start value. | :Iterates the function ''n'' times (''n'' = number of iterations) using the given start value. | ||
:{{Examples| 1=<div> | :{{Examples| 1=<div> | ||
| − | :*After defining <code>f(x) = x^2</code> the command <code>Iteration | + | :*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 | + | :*''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> ) | ;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^2the 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 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.
