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1 vote
1 answer
34 views

A claim regarding some summations of monotonic functions in fraction

I am trying to prove this claim but it seems the math somehow does not work out... Let $f_1,f_2,g_1$ and $g_2$ be real-valued, strictly positive, continuously differentiable and strictly decreasing ...
Paul H.Y. Cheung's user avatar
2 votes
2 answers
59 views

Is there a 'simple' function that flips the order of positive numbers without making them negative?

If I want to flip the order of some numbers, I can just multiply them with -1. But is there a not too complicated way to do it such that the numbers remain positive? Here's my attempt to word the ...
proof-of-correctness's user avatar
5 votes
2 answers
168 views

Existence of Function Taking Every Value Uncountably Many Times

I am stuck on the following problem coming from a plane geometry theorem I'm working on. This is a generalization of that problem which might actually prove easier to handle. All the techniques that ...
John Samples's user avatar