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
Application of Jacobi polynomials to approximate solution of a complete singular integral equation with Cauchy kernel on the real half-line
Jacobi polynomials are used to derive approximate solutions of the complete singular integral equation with Cauchy–type kernel defined on the real half–line in the case of constant complex coefficients. Moreover, estimat...
The magnetic and electric field produced by a proton bunch from the LHC and project of the chamber for investigations in these fields
This paper describes the estimation method of the spatial distribution of magnetic field induction and electric field intensity produced by a relativistic beam of charged particles. The described method is applied to est...
Invariants under conformal rescaling of the space-time - A study including consequences for the metric
The conformal transformations play crucial role in the analysis of global structure of the physical space-time. This paper shows some geometrical and physical objects which describe the space-time. There are also given t...
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.
Some estimations of the Łojasiewicz exponent for polynomial mappings on semialgebraic sets / Pewne szacowania wykładnika Łojasiewicza dla odwzorowań wielomianowych na zbiorach semialgebraicznych
We strengthen some estimations of the local and global Lojasiewicz exponent for polynomial mappings on closed semialgebraic sets obtained by K. Kurdyka, S. Spodzieja and A. Szlachcińska in [4].