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- Arseniy V. Akopyan, Roman N. Karasev
- Discrete Mathematics
- 2013

We prove that any simple polytope (and some non-simple polytopes) in R admits an inscribed regular octahedron.

- Arseniy V. Akopyan, Roman N. Karasev
- Discrete & Computational Geometry
- 2012

For convex partitions of a convex body B we prove that we can put a homothetic copy of B into each set of the partition so that the sum of homothety coefficients is ≥ 1. In the plane the partition may be arbitrary, while in higher dimensions we need certain restrictions on the partition.

- Arseniy V. Akopyan, Roman N. Karasev
- Discrete & Computational Geometry
- 2013

- Arseniy V. Akopyan
- Discrete & Computational Geometry
- 2014

- Arseniy V. Akopyan, Alexander Plakhov
- SIAM J. Math. Analysis
- 2015

Abstract. We consider the hollow on the half-plane {(x, y) : y ≤ 0} ⊂ R2 defined by a function u : (−1, 1) → R, u(x) < 0, and a vertical flow of point particles incident on the hollow. It is assumed that u satisfies the so-called single impact condition (SIC): each incident particle is elastically reflected by graph(u) and goes away without hitting the… (More)

- Arseniy V. Akopyan, Alexey A. Glazyrin
- Periodica Mathematica Hungarica
- 2014

- O. L. Mndzhoyan, A. A. Gamburyan, +7 authors A. V. Akopyan
- Pharmaceutical Chemistry Journal
- 2004

Pharmacological investigations showed that benzylic acid ~-diethylaminoethyl ester hydrochloride, amizyl, has cholinolytic and gangliolytic properties [8]. To study the changes in the cholinolytic action of amizyl, when two bromine atoms are introduced into its acid part at the 4,4'-positions of the phenyl groups, and also on altering the aminoalkanol… (More)

- Arseniy V. Akopyan
- Discrete & Computational Geometry
- 2013

- Arseniy V. Akopyan
- Discrete Mathematics
- 2012

- G. A. Gevorgyan, S. A. Gabrielyan, +6 authors O. L. Mndzhoyan
- Pharmaceutical Chemistry Journal
- 2004

Earlier we published an article on the synthesis and biological activity of hydrochlorides of ~-phenyl-flamino-(3fluoro-4-methoxy)propiophenones [5]. As a continuation of these investigations and with the purpose of studying the local anesthetic and antiinflammatory activities, we have prepared by the reaction of a-bromoand… (More)