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The Distance Matrix for a Simplex

Darko Veljan ; Department of Mathematics, University of Zagreb, Bijenička c. 30, 41000 Zagreb, Croatia


Puni tekst: engleski pdf 4.126 Kb

str. 39-52

preuzimanja: 1.927

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Sažetak

In this paper we consider some geometric questions relating to a
higher dimensional analogon of a triangle, called simplex. In particular, weshall be concerned with the distance matrix of its vertices. We shall also majorize the volume of a simplex in terms of the distances between vertices. As consequences, we shall derive some inequalities for determinants and, in particular, an improvement of the well-known Hadamard's inequality. We shall also point to some possible applications to the chemical graph theory.

Ključne riječi

Hrčak ID:

176543

URI

https://hrcak.srce.hr/176543

Datum izdavanja:

1.2.1995.

Posjeta: 2.440 *