1 citations · 1 across the 7 of their papers we have counts for
7 papers
On coverings by Minkowski balls in the plane and a duality
Nikolaj Glazunov
Lattice coverings in the real plane by Minkowski balls are studied. We exploit the duality of admissible lattices of Minkowski balls and inscribed convex symmetric hexagons of thes…
On direct and inverse limits of Minkowski's balls, domains, and their critical lattices
Nikolaj Glazunov
We construct direct and inverse systems of Minkowski's balls and domains, direct and inverse systems of their critical lattices and calculate their direct and inverse limits.
On Lattice points and Optimal Packing of Minkowski's Balls and Domains
Nikolaj Glazunov
We investigate lattice packings of Minkowski's balls and domains, as well as the distribution of lattice points on Minkowski's curves which are boundaries of Minkowski's balls. By…
On packing of Minkowski balls. II
Nikolaj Glazunov
This is the continuation of the author's ArXiv presentation "On packing of Minkowski balls. I". In section 2 we investigate lattice packings of Minkowski balls and domains. By resu…
On packing of Minkowski balls. I
N. Glazunov
In this paper we prove that the optimal lattice packing of the Minkowski, Davis, and Chebyshev-Cohn balls is realized with respect to the sublattices of index two of the critical l…
Toward a Category Theory Design of Ontological Knowledge Bases
Nikolaj Glazunov
I discuss (ontologies_and_ontological_knowledge_bases / formal_methods_and_theories) duality and its category theory extensions as a step toward a solution to Knowledge-Based Syste…
Interval Computations and their Categorification
Nikolaj M. Glazunov
By the example of the proof of Minkowski's conjecture on critical determinant we give a category theory framework for interval computation.