4,091 reputation
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visits member for 5 years, 9 months
seen 7 hours ago

11h
awarded  co.combinatorics
23h
reviewed Approve soft: Reference/ Suggested Read: Homological Algebraic techniques in PDEs
1d
reviewed Looks OK Terminology for polygons
1d
comment Finding a lower bound in terms of given integers
@FedorPetrov This is known as Liouville's bound. It has been improved: non-effectively, there is Roth's theorem, whereas effectively there is work of Baker and later Feld'man. However, for algebaic numbers of this special form one is likely to do better than Baker-Feldman using Pade's approximations (for example, there is work of Bombieri on approximations to $\sqrt[k]{n}$). However, I do not know what the state of the art in these questions is.
1d
comment Finding a lower bound in terms of given integers
It could be zero. If it is not zero, then giving a lower bound is a difficult diophantine approximation problem because even the rational approximations to $\sqrt[k]{n}$ are difficult (which is the case $\sqrt[k]{p^k n}+0-\sqrt[k]{q^k}$). I am no expert however, and do not know the status of these problems.
1d
comment A question about Lebesgue density
I downvoted because I think the off-topic questions should not be answered, but closed.
1d
reviewed Close A question about Lebesgue density
1d
reviewed Close Particular case of Beal's Conjecture
2d
reviewed Approve Computation Time of Smith Normal Form in Maple
2d
revised From polynomial ideal over $\mathbb{Q}$ to polynomial ideal over $\mathbb{Z}$
edited title
2d
accepted From polynomial ideal over $\mathbb{Q}$ to polynomial ideal over $\mathbb{Z}$
2d
comment From polynomial ideal over $\mathbb{Q}$ to polynomial ideal over $\mathbb{Z}$
Aha, the trick is not to work with large $D$ as suggested in my question, but with "symbolically large" D, which is what saturation does. Today I learned why saturation is nice!
2d
revised From polynomial ideal over $\mathbb{Q}$ to polynomial ideal over $\mathbb{Z}$
added 16 characters in body
2d
revised From polynomial ideal over $\mathbb{Q}$ to polynomial ideal over $\mathbb{Z}$
fixed typo
2d
asked From polynomial ideal over $\mathbb{Q}$ to polynomial ideal over $\mathbb{Z}$
Jul
30
reviewed Leave Closed Why only Normed Linear Spaces?
Jul
29
comment A specific class of $(0,1)$-matrices
Interesting question. I currently doubt that this pattern will persist for larger $n$, but have no proof.
Jul
29
comment A specific class of $(0,1)$-matrices
What does the second paragraph mean: you have a proof that, for $n$ even, most matrices in $T_n$ have even number of $1$'s, or you mean that you computed up to some $n$, and observed this to be this case. In the latter case, how large was your $n$? In the former case, is your question "is this already known"?
Jul
29
comment Minimum number of people such that 2 can be expected to sit next to each other
@DominicvanderZypen While I am sympathetic to your plea for assistance, MO is not a place to seek assistance with undergraduate-level material. Not receiving a satisfactory answer on stats.stackexchange.com does not make your question on topic here. Similarly, I should not answer your question as doing so would reward posting off-topic questions.
Jul
29
comment Minimum number of people such that 2 can be expected to sit next to each other
@DominicvanderZypen This is a very basic probability question (undergraduate level). As an experienced user, you know that if someone here asked "What is 2+2?", they would be downvoted and redirected to resources outside MO. Similarly, your question does not belong to this forum, but it would be on-topic at MSE.