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Math Help - Gamma invariant?

  1. #1
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    Gamma invariant?

    Hello...I am having trouble understanding what gamma invariant is and was wondering if someone could help explain it to me.

    My professor provides me notes and it says:

    "A set x is said to be gamma invariant (where again gamma is a circle with center O) if the gamma inverse of each point on x is also on x."

    This is just a really confusing definition for me and if anyone can explain it in plain ole' English I would be much obliged.

    Thank you!
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  2. #2
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    If you are talking about circular inversion (a type of Möbius transformation) in the complex plane, that's one thing...but if you're talking about gamma as an arbitrary function, that's another thing.
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  3. #3
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    gamma invariance

    Hi Lewisje,

    I think I understand it now...I was talking about invariance as it relates to circular inversion. A friend helped explain it to me but thank you for your reply!
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