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Can we find a function satisfiying the following functional inequation?
Question:
I would be interested know if there exist (and construct)
a function $f:\mathbb N\times \mathbb N \to (0,\infty )$ such that for all integers $p,q$, $f(p,q)=f(q,p)$ and
a constant ...
0
votes
2answers
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Counting $2010^2$-tuples
Here's a problem i invented myself, but i'm not sure about my solution. I'll show it later, so people can enjoy trying to find one:
Consider the function $f:\mathbb{R}^2\to\{1,2,...,2012\}$ that ...