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I received the following equation. It is supposed to contain clues to something I have to solve. I am not familiar with the math symbols used here.

How do I read the following:

f: R → D, ∀d ∈ D, ∃!r ∈ R: f(r) = Lm = d 
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    If you provide more context maybe we can decipher that `Lm`.2012-06-08
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    @AsafKaragila : Sir, I am extremely sorry to fork an off-topic discussion here. But I am really in need of some help sir. I wanted to prove that if $p^{2m-2n}-p^m+3p^{m-2n}+1$ is a perfect square then $m=2n$. Here the $p$ is a odd-prime and all the exponents are positive. I tried to post this but I am not clear myself. So I have deleted twice. If you can give some hints, it would be extremely useful. I tried using the Reductio ad absurdum . We then get 2 cases $m \lt 2n$ and $m \gt 2n$. Then I am stuck here.. I would be very happy to hear any suggestion from you sir..2012-06-09
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    @Iyengar: I cannot help you with number theory questions.2012-06-09

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