209 reputation
19
bio website
location
age
visits member for 2 years, 7 months
seen Sep 12 at 3:51

Sep
11
awarded  Popular Question
Aug
26
awarded  Yearling
May
19
awarded  Critic
Nov
4
awarded  Commentator
Nov
4
comment Are all mathematicians human calculators?
Damn it Jim, I'm a mathematician, not an accountant.
May
16
comment Rationalizing Denominators with Radicals
possible duplicate of Rationalize the Denominator by Default
Aug
19
awarded  Teacher
Aug
19
answered I want to find out the angle for the expression $a^3 + b^3 = c^3$.
Apr
26
awarded  Editor
Apr
26
revised Determine the coefficients of an unknown black-box polynomial
Minor fix to equations so they work
Apr
26
accepted Determine the coefficients of an unknown black-box polynomial
Apr
26
suggested suggested edit on Determine the coefficients of an unknown black-box polynomial
Apr
24
comment Determine the coefficients of an unknown black-box polynomial
This seems to work: $X_k=p\left(\exp\left(-\frac{2\pi ik}{n+1}\right)\right), k=0,\dots,n$ and $c_j=\frac1{n+1}\sum\limits_{k=0}^{n-1} X_k \exp\left(\frac{2\pi i jk}{n+1}\right), j=0,\dots,n$
Apr
23
comment Determine the coefficients of an unknown black-box polynomial
@J.M. I just tried a few known test polynomials and threw them at the formulae for $X_k$ and $c_j$. It only worked when $a_0 = 0$. On further inspection it looks like $c_0 = c_n = a_0 + a_n$.
Apr
23
comment Determine the coefficients of an unknown black-box polynomial
Method 1 works only if you don't have a constant term in your polynomial, but that's easy enough to filter out. Are there any conditions on method 2 I should be aware of before I try it out?
Apr
20
asked Determine the coefficients of an unknown black-box polynomial
Apr
10
comment Spread out the zeros in a binary sequence
This works excellently. Just an additional note, one needs $a_0 = 1$.
Apr
10
accepted Spread out the zeros in a binary sequence
Apr
10
comment Spread out the zeros in a binary sequence
@BrianM.Scott That sounds good in a general interpretation, but I wouldn't want to comment if you are talking about applying statistics.
Apr
10
comment Spread out the zeros in a binary sequence
It's probably more like the sum of the distances, or the mean. For a small fraction you're undoubtedly going to have the minimum distance to be 1, but that doesn't mean they should all be 1. Feel free to make it more precise by interpreting the description!