Andrew Tomazos
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 Aug31 revised Hyper Birthday Paradox? added 7 characters in body Aug31 asked “Sum” over logical and? Aug28 accepted Closed form for $T(1) = K, T(x) = xT(x-1) + x$? Aug28 comment Closed form for $T(1) = K, T(x) = xT(x-1) + x$? Yes $x \in \mathbb{Z^+}$ Aug28 asked Closed form for $T(1) = K, T(x) = xT(x-1) + x$? Aug27 revised Combinations of nonincreasing sequences within bounds? deleted 10 characters in body Aug27 comment Combinations of nonincreasing sequences within bounds? See my answer for what I was looking for. I guess you were thinking general solution or nothing. I just wanted a way to calculate it. Aug27 answered Combinations of nonincreasing sequences within bounds? Aug26 comment Combinations of nonincreasing sequences within bounds? @GerryMyerson: I think you may have misread the problem. I have added an example where $a_1 > a_2$. Aug26 revised Combinations of nonincreasing sequences within bounds? added 187 characters in body Aug26 comment Combinations of nonincreasing sequences within bounds? @GerryMyerson: What do you mean? $a_i$ can be any integer, as can $b_i$. Obviously if for some $i$, $a_i > b_i$ than the answer to the question is zero. Likewise if for some $i$, $b_i < a_{i+1}$ then the answer is also zero. Aug25 comment Elementary power equation: $k_1k_2^x = k_3k_4^x$ Wow, it seems obvious now - exponentiation becomes multiplication in log space - as multiplication becomes addition Aug25 asked Combinations of nonincreasing sequences within bounds? Aug25 comment Elementary power equation: $k_1k_2^x = k_3k_4^x$ I've always found it unintuitive for some reason that $\log_c(a^b) = b\log_c(a)$. I find it hard to visualize a physical model that demonstrates this. Aug25 asked Elementary power equation: $k_1k_2^x = k_3k_4^x$ Aug17 comment Maximization of a sum subject to constraints on 3 resources @AngelaRichardson: Information is lost. Your equation is implied by the triple equation, however the reverse is not true. Aug17 comment Maximization of a sum subject to constraints on 3 resources As the xs are constant you can generalize it to that, but is there a way to take advantage of the fact that the xs repeat in all six permutations to give a simpler solution? Aug17 asked Maximization of a sum subject to constraints on 3 resources Aug14 asked Properties of “Digit Sum Root”? Aug11 comment Efficiently evaluating the Motzkin numbers @Chan: If it was a prime base, then you can use the modular inverse. If it isn't a prime base, than you can use arbitrary precision arithmetic.