Volumes of polyhedra in terms of determinants of rectangular matrices / Objętości wielościanów wyrażone za pomocą wyznaczników macierzy prostokątnych
Journal Title: Bulletin de la Société des sciences et des lettres de Łódź, Série: Recherches sur les déformations - Year 2016, Vol 0, Issue 2
Abstract
Formulas for volumes of octahedra, tetragonal pyramids, triangular prisms and truncated triangular prisms, involving determinants of rectangular matrices, are presented.
Authors and Affiliations
Anna Makarewicz, Witold Mozgawa, Piotr Pikuta
Simple systems and closure operators / Proste układy i operatory domykania
The connections between generalized derived-set operators and abstracted Thomson’s local systems are explored.
Volumes of polyhedra in terms of determinants of rectangular matrices / Objętości wielościanów wyrażone za pomocą wyznaczników macierzy prostokątnych
Formulas for volumes of octahedra, tetragonal pyramids, triangular prisms and truncated triangular prisms, involving determinants of rectangular matrices, are presented.
Integral equations in Puzyna's teaching and research as seen today / Równania całkowe w nauczaniu i pracy badawczej Józefa Kniazia Puzyny
In this paper, we discuss the important contribution of Józef Puzyna into development of the integral equations theory and its meaning today. We mention also the role of Puzyna for creating the famous Lwów Mathematical S...
Density topologies on the plane between ordinary and strong. III
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Complete sufficient statistics for Markov chains
This paper presents a complete suffcient statistic for the class of Markov chains with a finite state S for some natural subspaces PZ of the set of all transition probabilities P. This statistic is the random transition...