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 Oct12 answered Finding the area of the triangle Oct12 comment Tricky proof: sum of adjacent integers @David I suggest that you try my approach which was the first answer here. Oct12 comment Tricky proof: sum of adjacent integers @Zev No, the ceiling is not sufficient to get greater than 152. I wonder if anyone here actually reads my answer. If you use an average of all triples, it just isn't enough, you need what I wrote in my answer. Oct12 comment Tricky proof: sum of adjacent integers @Zev: A statement is not false just because the negation implies something true. Oct12 comment Question about generating function What makes you think that there is a closed form? What do you know about hypergeometric functions? Oct12 answered Tricky proof: sum of adjacent integers Oct12 answered Proving the number of permutations $A,B\;$ with $n+1$ total cycles and $AB=(123\cdots n)$ is $C_n$ Oct12 comment How do I evaluate the Complex Integral $(z^{-n})/(e^z−1)$ using residue theory? @Peter What is "the usual" way to calculate Bernoulli numbers? Oct12 comment How do I evaluate the Complex Integral $(z^{-n})/(e^z−1)$ using residue theory? @Peter You misunderstand my point. There is no simple closed formula for the Bernoulli numbers, so you have to say what you want. Asymptotics? Recurrence? Double sum? You find all this in the wikipedia article on Bernoulli numbers. Oct12 answered Matrix multiplication: is C(AB) the same as (CA)B? Oct12 comment Can I use my powers for good? You could give advice to people in debt or tutor students from bad high schools. But I guess that you forgot to mention what your minimum requirements are for salary and lack of boredom. Oct12 answered How do I evaluate the Complex Integral $(z^{-n})/(e^z−1)$ using residue theory? Oct11 comment When does $a + b$ divide $a^p + b^p$? If the gcd of a and b is not 1 or p, then the statement is obviously wrong. Oct11 answered Why does $a^n - b^n$ never divide $a^n + b^n$? Oct11 answered When does $a + b$ divide $a^p + b^p$? Oct11 comment Mathematical explanation behind a picture posted (lifted from facebook) I think that this would make a fine question for the proposal area51.stackexchange.com/proposals/4955/popular-natural-science so I invite you to support the proposal. Oct11 comment How to solve such an equation ? (Line-Plane Intersection) What do you mean with "solve"? Do you want to calculate $t$? Do you know the relation between the V and the x, y, z? Oct10 comment How to compute the limit of this integral? For large n and x smaller than 1- epsilon, $x^n$ is small, for small argument, the function is near $f(0)$. Oct10 comment Simplifying a series It is a geometric series. Oct10 answered How to compute the limit of this integral?