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Discrete Dynamical Systems Proof Help.

  1. Nov 23, 2008 #1
    1. The problem statement, all variables and given/known data
    How many points in ΣN are fixed by σkN?


    2. Relevant equations
    σkN is the kth iteration of the shift map σN.


    3. The attempt at a solution
    I'm not sure where to start. I probably just need a hint.
     
  2. jcsd
  3. Nov 24, 2008 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    First, what, exactly, are ΣN and σN? What are their definitions?
     
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