Reputation
7,144
Top tag
Next privilege 10,000 Rep.
Access moderator tools
Badges
1 12 30
Newest
 Informed
Impact
~34k people reached

Jan
31
awarded  Informed
Jan
6
answered Chinese remainder theorem as sheaf condition?
Dec
30
revised Expected number of steps to finish all the cookies
added 30 characters in body
Dec
30
revised Expected number of steps to finish all the cookies
deleted 780 characters in body
Dec
30
answered Expected number of steps to finish all the cookies
Dec
8
comment A nonsplit short exact sequence of abelian groups with $B \cong A \oplus C$
In your SES of $\mathbb{Z}G$-modules, the middle term is isomorphic to the direct sum of the other two as groups, but not as $\mathbb{Z}G$-modules: $g$ acts trivially on the left and right copies of $\mathbb{Z}$, but not on the middle $\mathbb{Z}\oplus\mathbb{Z}$.
Dec
4
answered Another polylog integral
Dec
2
comment Integral $\int_0^\infty\operatorname{arccot}(x)\,\operatorname{arccot}(2x)\,\operatorname{arccot}(5x)\,dx$
@Startwearingpurple 1. Where did this come from? 2. Each logarithmic term is a polynomial of degree at most $3$ in terms $\log n$, $n\in\{2,3,5,7\}$, so substantial simplifications are possible
Dec
1
comment Nondegenerate bilinear form
Maybe you mean nondegenerate
Dec
1
answered Combinatorics Problem - Counting.
Dec
1
comment Combinatorics Problem - Counting.
$A\cup B\cup C\cup D$ is the set of flower arrangements that don't have at least one flower of every color
Nov
8
comment If a complex Lie group has the structure of an algebraic group, is this structure unique?
At the other end of the spectrum, the answer is also yes for unipotent groups: a homomorphism of connected Lie groups is determined by the map on Lie algebras, and the functor $G\mapsto\mathrm{Lie}(G)$ is an equivalence of categories {unipotent algebraic groups} $\to$ {nilpotent finite dimensional Lie algebras}.
Nov
6
revised If a complex Lie group has the structure of an algebraic group, is this structure unique?
added 23 characters in body
Nov
6
answered If a complex Lie group has the structure of an algebraic group, is this structure unique?
Oct
28
comment If every prime ideal is maximal, what can we say about the ring?
@goblin The zero ideal is prime but not maximal.
Oct
26
answered Does $f(0)=0$ and $\left|f^\prime(x)\right|\leq\left|f(x)\right|$ imply $f(x)=0$?
Oct
26
comment Does $f(0)=0$ and $\left|f^\prime(x)\right|\leq\left|f(x)\right|$ imply $f(x)=0$?
It isn't true that the derivative of an everywhere-differentiable function is Lebesgue integrable. A counterexample is $f(x)=x^2 \sin(x^{-2})$, extended by continuity at $x=0$.
Oct
25
comment What is the expected magnitude of the third Wieferich-prime?
Yeah, this is definitely weird. If we know there are only two Wieferich primes below $3\times 10^{17}$, then the likelihood that the next one is less than $10^{1750}$ is greater than $99\%$. I still stand by the conclusion that according to the probabilistic model, the expected value of the size of the next one is infinite.
Oct
25
revised What is the expected magnitude of the third Wieferich-prime?
added 5 characters in body
Oct
25
revised What is the expected magnitude of the third Wieferich-prime?
deleted 126 characters in body