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seen Apr 11 at 20:56

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


Oct
17
accepted Lower bound on the rank of the elliptic curve $y^{2} = x^{3} + A x^{2} + B x$
Oct
16
awarded  Popular Question
Oct
16
revised Proofs that every mathematician should know?
added 1 characters in body
Oct
15
revised What is the connectivity between Boltzmann's entropy expression and Shannon's entropy expression?
changed "connectivity" to "connection"
Sep
6
revised Proving $|e^{iθ}|=1$
edited title
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
21
revised Lower bound on the rank of the elliptic curve $y^{2} = x^{3} + A x^{2} + B x$
added 24 characters in body
Aug
20
asked Lower bound on the rank of the elliptic curve $y^{2} = x^{3} + A x^{2} + B x$
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.
Jul
16
awarded  Good Answer
Jul
16
awarded  Mortarboard
Jul
16
awarded  Nice Answer
Jul
16
answered How to convince a math teacher of this simple and obvious fact?
Jul
6
awarded  Good Answer
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
27
revised Proof for Sum of Sigma Function
added 2 characters in body
Jun
24
awarded  Nice Question