Difference between revisions of "Iteration Command"
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:{{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>}} | ||
+ | ;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. |
Revision as of 16:23, 8 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 commandIteration[f, 3, 2]
gives you the result (32)2 = 81.
- Example: repeated additionTo obtain the repeated addition of 7 to the number 3:Let
g(x) = x + 7
, thenIteration[g, 3, 4]
yields (((3+7) +7) +7) +7 = 31.
- 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.