dima
Reputation
462
Top tag
Next privilege 500 Rep.
Access review queues
2 10
Impact
~5k people reached

• 0 posts edited

# 74 Actions

 Jun 7 asked Lower bound for the probability that a certain component of a Gaussian vector dominates all others May 4 accepted Positive roots of a polynomial May 4 comment Positive roots of a polynomial Neat derivation! May 4 awarded Nice Question May 3 comment Positive roots of a polynomial @Greg Martin: $n=1$ does not satisfy the condition that not all $a_i$'s are equal. For $n=2$ we get $p(x)=\frac{1}{2} \left(a_1-a_2\right){}^2 x^2-\frac{1}{2} a_1 \left(a_1-a_2\right){}^2 a_2$ and so clearly the only positive root is $x_0=\sqrt{a_1 a_2}$. For $n=3$ I don't know already... May 3 awarded Yearling May 3 revised Positive roots of a polynomial added 55 characters in body May 3 comment Positive roots of a polynomial @Seva some numerical evidence, I'll add this to the question May 3 asked Positive roots of a polynomial May 1 comment Maximizing the discrepancy in Jensen's inequality for a certain function @Sergei: see for instance Theorem 1 here: iub.edu/~caepr/RePEc/PDF/2012/CAEPR2012-004.pdf Apr 30 asked Maximizing the discrepancy in Jensen's inequality for a certain function Jul 2 awarded Curious Jun 5 answered Property/Relations using Fourier series/transform, which give complete information about all the jump singularities of a function. Jun 2 accepted Is the following conjecture regarding rotational iterates of collection of points on a circle true? Jun 2 comment Is the following conjecture regarding rotational iterates of collection of points on a circle true? @Anthony Quas: This comes from estimating condition numbers of Vandermonde matrices with nodes on the circle. Jun 2 comment Is the following conjecture regarding rotational iterates of collection of points on a circle true? Since your rescale everything to $[0,1)$, I think $\alpha$ should be multiplied by $\pi$. Also, could you please provide more intuition regarding the usage of the Dirichlet principle? Thanks! Jun 1 asked Is the following conjecture regarding rotational iterates of collection of points on a circle true? May 12 comment Inverse of matrix of generalised harmonic numbers @ChristianRemling: Unfortunately, this is not the case. $H^{-1}$ does have negative entries (as does the inverse of the Hilbert matrix), so even for a 2-by-2 case the matrix $H^{-1}R-I$ has $O(1)$ entries. May 11 comment Inverse of matrix of generalised harmonic numbers @ChristianRemling: the problem is that one cannot write $R=H(I+O(1/n))$ in this case. Rather, $O(1/n)H$ stands for a matrix whose $i,j$-th entry is $O(1/n)$ times the $i,j$-th entry of $H$. May 11 awarded Informed