Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Science Advisor

    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?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook