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2d

awarded  Enlightened 
2d

awarded  Nice Answer 
2d

awarded  Excavator 
2d

revised 
Finite interpolation by a nondecreasing polynomial
The last formula corrected in nonmathematical part. 
2d

comment 
Zero divisors with support of size 3 in group algebras of finite groups
One may simplify the opposite direction argument by observing that $\mathbb F[G]/I(G)\cong \mathbb F$ via the epimorphism $\sum_{g\in G}\alpha_gg\mapsto \sum_{g\in G}\alpha_g$. This applies to all groups, not only finite ones. 
Aug
31 
revised 
Polynomial interpolation of binary word signal
Clarified that both papers work with the use of Chebyshev polynomial trick. 
Aug
31 
answered  Polynomial interpolation of binary word signal 
Aug
31 
comment 
Zero divisors with support of size 3 in group algebras of finite groups
If such elements exist for some group, they also exist for every overgroup. So it is more reasonable to make the least prime divisor of $G$ large. 
Aug
30 
comment 
Number of linearly bisected subsets in finite vector space $F_2^n$
Do you know any nonbisectable subset of even size? 
Aug
30 
answered  Zero divisors with support of size 3 in group algebras of finite groups 
Aug
30 
comment 
Zero divisors with support of size 3 in group algebras of finite groups
One of the definitions of a group algebra regards its elements as functions from $G$ to $\mathbb F$. 
Aug
29 
awarded  Revival 
Aug
29 
revised 
Fixed point of fatness
Remark has been rewritten 
Aug
29 
comment 
Fixed point of fatness
Yes, I have already realizd that, sorry. 
Aug
29 
answered  Fixed point of fatness 
Aug
28 
comment 
Existence of finite set of points in the revolving circles
Let us continue this discussion in chat. 
Aug
28 
comment 
What is the maximum size of a set system where the intersection of any two incomparable members is not in the set?
Josh, if you try to construct an optimal system for $n=8$ in this manner (taking some complete layers of the cube), you will come up with the system of the 8set, all 6sets, and all 3sets (all other combinations lose to this one). BUT THEN you may also add ONE 7set without troubles! So an optimal example becomes more complicated, no matter whether it is the resulting one or not. 
Aug
27 
comment 
Existence of finite set of points in the revolving circles
Here you are; sorry again for that mess in the initial remark. 
Aug
27 
revised 
Existence of finite set of points in the revolving circles
Remark is changed, a picture is added. 
Aug
27 
comment 
Existence of finite set of points in the revolving circles
On the other hand, I was also a bit wrong in describing the example, sorry. I'll correct it and make a picture quite soon. 