We give a characterization of functions of the form f(n) = ν(n - E), where ν(-) denotes the exponent of 2, and E is a 2-adic integer. We show that it applies to the restriction to even or odd integers ...
In the realm of mathematics, it’s hard to imagine anything more basic than the counting numbers: 1, 2, 3, and so on. Yet this set of mathematical objects abounds with beautiful and unexpected patterns ...
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