Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On the number of near neighbors in regular partitions of Lobachevskij space by compact polyhedra. (Russian)
Authors: Makarov V. S., Balkan V. V.
Abstract
In this note following statement is proved by constracting: for any set of natural numbers $p_1,p_2,\dots,p_k$ an abnormal regular tessellation of Lobachevsky Space exists so that the stereohedron $M$ of one has such facets $f_1,f_2,\dots,f_k$ that $M$ intersects $2p_i-1$ stereohedra of tessellation by facet $f_i$ (such stereohedra are cal led adjacent neighbours of stereohedra $M$).Contents
- Countably compact topologies on Boolean rings. (Russian)
- Locally dissipative dynamical systems and some of their applications. (Russian)
- Conditions for the maximal multiplicity of an integral line of a differential system with homogeneities of $m$th order. (Russian)
- On the spectrum in the right half-plane of a class of operator pencils. (Russian)
- K-loops. (Russian)
- Groups of automorphisms of medial quasigroups and medial fields. (Russian)
- On the spectrum of perturbed differential operators with periodic coefficients. (Russian)
- Parametric completeness in the logic of the simplest pseudo-Boolean algebra with incomparable elements. (Russian)
- Coefficient conditions for the coexistence of two singular points of summed multiplicity 4 in a finite part of a phase plane of a quadratic system. (Russian)
- On the kinds of two-dimensional multiregular partitions. (Russian)
- On a class of nonlocal generalized splines. (Russian)
- On the number of near neighbors in regular partitions of Lobachevskij space by compact polyhedra. (Russian)
- An approximation algorithm for matroids with coalitions. (English)
- On finite projection of nonstationary $M/GI/1$ queueing systems. (English)
- Numerical modeling of the process of high-velocity penetration of an obstacle. (Russian)
