Difference between revisions of "Cyclic function"
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| − | A '''cyclic function''' is a [[function]] <math>f</math> | + | A '''cyclic function''' is a [[function]] <math>f</math> such that <math>f^n(x) = x</math> for some [[integer]] <math>n > 1</math>. A neccessary condition for a function to be cyclic is that its [[image]] be equal to its [[domain]]. |
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=== Introductory Problems === | === Introductory Problems === | ||
* [[2006_AMC_12A_Problems/Problem_18 | 2006 AMC 12A Problem 18]] | * [[2006_AMC_12A_Problems/Problem_18 | 2006 AMC 12A Problem 18]] | ||
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Latest revision as of 14:47, 20 July 2016
A cyclic function is a function 
such that 
for some integer 
. A neccessary condition for a function to be cyclic is that its image be equal to its domain.
Example Problems
Introductory Problems
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