S. Myroshnychenko

activity

20162026

most citedFunctional Response Designs via the Analytic Permutation Test

7 citations · 9 across the 15 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.MG2017

Grünbaum's inequality for sections

Sergii Myroshnychenko, Matthew Stephen, Ning Zhang

We show \begin{align*} \frac{ \int_{E \cap θ^+} f(x) dx }{ \int_E f(x) dx } \geq \left(\frac{k γ+1}{(n+1) γ+1}\right)^{\frac{k γ+1}γ} \end{align*} for all $k$ -dimensional subspaces…

math.MG2017

On recognizing shapes of polytopes from their shadows

Sergii Myroshnychenko

Let $P$ and $Q$ be two convex polytopes both contained in the interior of an Euclidean ball $r B^{d}$ . We prove that $P = Q$ provided that their sight cones from any point on…