arXiv subjects

Revaz Kurdiani

Publications and source records attributed to Revaz Kurdiani.

3 recordsLinked to original sources

arXiv2022

Approximation of Discs by Octagons on Pixel-Plane via Jaccards Proximity Criterion: Theoretical Approach and Experimental Results Analysis

In the present paper we study approximation of discs by octagons on the pixel plane. To decide which octagon approximates better the given disc we use Jaccard's distance. The table of Jaccard's distances (calculated by a software created for these purposes) are presented at the end of the paper. The results for proximity are given in the form of a graph. Some properties of considered octagons are also studied

cs.CG↗

arXiv2019

On capability of Leibniz algebras

We study the capability property of Leibniz algebras via the non-abelian exterior product.

math.KT↗

arXiv2010

Lie triple system central extensions of Lie algebras

Three kinds of universal central extension are considered for a perfect Lie algebra. More precisely, one can consider such a Lie algebra as a Lie triple system, or a Leibniz algebra and construct appropriate central extensions. We show that Lie triple system universal central extension is isomorphic either to Lie or Leibniz algebra universal central extension considered as a Lie triple system in appropriate way.

math.RT↗