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Possible applications

  1. Nov 26, 2011 #1
    I was given a problem by a professor to prove the following problem:

    Anyway, I have done this but am supposed to remark on possible applications. I'm not sure to what I could apply this though. Maybe something to do with ergodics? Any suggestions would be appreciated.
     
  2. jcsd
  3. Nov 28, 2011 #2
    Any suggestions?
     
  4. Nov 28, 2011 #3

    HallsofIvy

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    I take it you mean that [itex]\Gamma[/itex] is the set [itex]\{(x, y)| y= f(x)\}[/itex].

    What do you mean by [itex]\Gamma+ \Gamma[/itex]? How are you adding sets?
     
  5. Nov 28, 2011 #4
    Yes, that is what I meant. Sorry for the sloppiness, though I believe it's not an uncommon shorthand.

    Set addition is taken to be naive: nothing special like essential sums. So
    [tex] A+B = \{ a+b: a \in A, b \in B\} [/tex]
     
  6. Nov 29, 2011 #5
    Anybody have any ideas?
     
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