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 Feb28 comment Binary Quadratic Forms: Class Group Nice answer, Brent. May11 comment Integrality Conjectures @robjohn: My student posted material from my unpublished manuscripts. I have asked that he delete all of the offending posts including this one. He has agreed. If you have moderator privileges to help delete these, please do so. Feb7 comment Find the sum of all the multiples of 3 or 5 below 1000 The first two sums account for multiples of $3$ and $5$, the last sum accounts for over-counting multiples of $15$ (which can appear in either of the first two sums). Jan10 comment Solution Multiplicity of the Diophantine Equation $k = b(a - \gcd(a,b))$. Thank you, Peter! Jan6 comment Two-term Binomial-Bernoulli Transform That's great. Presumably, infinitely many such transforms follow from two generating functions $E$ and $F$ such that $EF = 1$. Dec29 comment Taking the negative of a continued fraction Actually, it was van der Poorten who wrote the notes I had in mind. Aug28 comment Can 3 planes fail to intersect even if none of the planes are parallel? The letter 'A' seems to be a good hint. Aug22 comment Upper bound for the quality of an $abc$-triple Actually, I asked it on MO when I got no answers here. Aug14 comment Could you explain why $\frac{d}{dx} e^x = e^x$ “intuitively”? "The more bacteria exist in a colony, the faster the colony will grow" is false. Competition for resources adds a negating term which depends on the concentration of bacteria: $dB/dt = B - f(B)$. This makes all of the difference. Jul24 comment Is this proof about $\pi$ is irrational correct? This is Niven's proof. The integral (1) should be from $0$ to $\pi$. Also, the word is "contradicts" not "contracted". Jul17 comment How to convince a math teacher of this simple and obvious fact? A proof by contradiction aims to develop an absurdity. Jun29 comment Bott periodicity and homotopy groups of spheres It depends on the values of $k$ and $n$. It is trivial to compute the groups for $0 \leq k \leq n$, but rather non-trivial for $k > n$. Jun13 comment Proof for Sum of Sigma Function You beat me to the punch by 1 min! May22 comment A Question about Doctoral Theses in Mathematics I am sorry if my question conveys a different tone, but I really am being sincere. May22 comment A Question about Doctoral Theses in Mathematics Thank you for your comment. Again, I'm not trying to win an argument or compare myself to great mathematicians; I am simply trying to understand (from an academic point of view) what is acceptable as a thesis. May22 comment A Question about Doctoral Theses in Mathematics Thank you for the answer. This situation is not a dispute, nor am I identifying any party. My aim is to simply try to answer an important question regarding theses, so that I can better understand what is acceptable. May22 comment A Question about Doctoral Theses in Mathematics More to the point, is the aim of a thesis to explain a result to a wide audience, or is it to prove a result in a mathematically rigorous way? May22 comment A Question about Doctoral Theses in Mathematics To be fair, I did ask a question. May21 comment A Question about Doctoral Theses in Mathematics Although Academia.SE is still in beta, I'm happy to post there. Before I do so, I hope to ask the more mathematically minded here first. Mar18 comment What was the first bit of mathematics that made you realize that math is beautiful? (For children's book) @Aidian: Because the prime powers are already fully colored and this could potentially add confusion.