bio  website  borisbukh.org 

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visits  member for  5 years, 7 months 
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21h

comment 
Which domain maximizes the energy of the Lebesgue measure?
Doesn't Steiner symmetrization prove this? 
1d

comment 
Will this be a case of self plagiarism or will it annoy the referee?
As a referee, I would prefer a reference. I would appreciate consistent notation between the two papers, and hopefully some mathematical explanation of why two apparently disjoint papers are not disjoint after all. As I referee, I will also want to know why, if the step is "small", does it take 5 pages. 
2d

comment 
Epsilonapproximations of set systems with finite VCdimension
You are right, but working with multisets is normally easier in these kinds of problems anyways. Many authors write "set" when they should have written "multiset". 
2d

comment 
Two conjectures about zero inner products and dissociated sets
Comments: 1) $P(A_i=0)$ is $C/\sqrt{n}$ if $v=1$ identically, but if not if $v=0$ say. 2) Do you care about $n/4$ as opposed to $n/1000$? 3) It is easy to get $2^{n/\log n}$ instead of $2^{n/4}$ by letting $v$ to be the vector that is all $1$ except that $n$'th position that is $0$. Do you have a better bound? 
2d

comment 
Sum of weighted permutations over natural numbers
The question is too vague to allow a meaningful answer. You would have to share a bit more about "interesting properties" for us to help you. For example, there is the rearrangment inequality. Do you care for it? 
2d

reviewed  Close Series Decomposition 
2d

reviewed  Close Projection mappings 
May 18 
reviewed  No Action Needed Kfellow traveler property and automatic structure 
May 15 
comment 
Smallest constant so that there are at least $n/\log_2{n}$ primes between $n$ and a constant multiple of $n$
The prime number theorem has a sufficiently good error term to make this question an easy exercise. Voting to close as offtopic for the website. 
May 6 
awarded  Explainer 
May 6 
revised 
Simultaneous approximation by rationals with relatively prime numerators
added 123 characters in body 
May 6 
answered  Simultaneous approximation by rationals with relatively prime numerators 
May 6 
revised 
Simultaneous approximation by rationals with relatively prime numerators
Formatting 
May 5 
awarded  Enlightened 
May 5 
awarded  Nice Answer 
May 4 
answered  Maximum height of intersection of triangles 
Apr 26 
reviewed  No Action Needed All nonsplit Cartan subroups of $GL_2(\mathbb{Z}/n\mathbb{Z})$ are conjugate 
Apr 26 
reviewed  Close For a nonconvex function f, how to find a function g such that $g\circ f$ is strictly convex? 
Apr 24 
reviewed  Leave Closed Minimum number of real multiplications to multiply two quaternions 
Apr 24 
reviewed  Looks OK Animating a unitary transform 