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visits member for 3 years, 9 months
seen Jun 29 at 14:33

Litterarum radices amarae, fructus dulces. (Bitter are the roots of study, but how sweet their fruit.) — Cato


May
11
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@robjohn: My student posted material from my unpublished manuscripts.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.
Feb
7
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).
Jan
10
comment Solution Multiplicity of the Diophantine Equation $k = b(a - \gcd(a,b))$.
Thank you, Peter!
Jan
6
comment Two-term Binomial-Bernoulli Transform
That's great. Presumably, infinitely many such transforms follow from two generating functions $E$ and $F$ such that $EF = 1$.
Dec
29
comment Taking the negative of a continued fraction
Actually, it was van der Poorten who wrote the notes I had in mind.
Aug
28
comment Can 3 planes fail to intersect even if none of the planes are parallel?
The letter 'A' seems to be a good hint.
Aug
22
comment Upper bound for the quality of an $abc$-triple
Actually, I asked it on MO when I got no answers here.
Aug
14
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.
Jul
24
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".
Jul
17
comment How to convince a math teacher of this simple and obvious fact?
A proof by contradiction aims to develop an absurdity.
Jun
29
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 $k > n$.
Jun
13
comment Proof for Sum of Sigma Function
You beat me to the punch by 1 min!
May
22
comment A Question about Doctoral Theses in Mathematics
I am sorry if my question conveys a different tone, but I really am being sincere.
May
22
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.
May
22
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.
May
22
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?
May
22
comment A Question about Doctoral Theses in Mathematics
To be fair, I did ask a question.
May
21
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.
Mar
18
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.
Mar
17
comment Proofs that every mathematician should know?
The edit is incorrect and not what I had intended. $(\mathbb{Z}/n\mathbb{Z})^{\times}$ is a group for $n \in \mathbb{N}$, whose order is $\varphi(n)$.