Classes of convex polyhedra closed under Minkowski addition / Klasy wielościanów wypukłych zamknięte ze względu na dodawanie Minkowskiego
Journal Title: Bulletin de la Société des sciences et des lettres de Łódź, Série: Recherches sur les déformations - Year 2017, Vol 0, Issue 2
Abstract
In this paper we study classes of convex polyhedra with normal vectors belonging to a given finite set G of vectors. Since a Minkowski sum A+B of two polyhedra may have normal vectors which are normal to no face of A or B, a given class of polyhedra may be not closed under Minkowski addition. The main result of this paper is a necessary and suffcient condition under which a class of convex polyhedra is closed with respect to Minkowski addition.
Authors and Affiliations
Tomasz Stroiński
Keywords
Related Articles
- EP ID EP316772
- DOI 10.26485/0459-6854/2017/67.2/5
- Views 58
- Downloads 0
Separating transformation and extremal decomposition of the complex plane / Przekształcenie oddzielające i eksperymentalny rozkład płaszczyzny zespolonej
The paper is devoted to extremal problems of the geometric function theory of complex variable associated with estimates of functionals defined on systems of non-overlapping do- mains. In particular, focus of investigati...
When is an asymmetric truncated Hankel opertor equal to the zero operator? / Kiedy asymetryczny obcięty operator Hankela równy jest operatorowi zerowemu?
-
Density topologies on the plane between ordinary and strong. III
-
Estimates for approx-imations by Fourier sums, best approximations and best orthogonal trigonometric approximations of the classes of ψ, β ) differentiable functions / Oszacowania dla aproksymacji sumami Fouriera, najlepszych aproksymacji i najlepszych ortogonalnych trygonometrycznych aproksymacji klas funkcji różniczkowalnych
We obtain the exact-order estimates for approximations by Fourier sums, best ap- proximations and best orthogonal trigonometric approximations in metrics of spaces Ls, 1 ≤s < 1, of classes of 2 π -p eriodic functions, wh...
Dual-Phase-Lag heat equation modelling of the nanoelectronic structures coefficient estimation temperatures / Modelowanie rozkładu temperatury w strukturach nanoelektronicznych przy użyciu modelu Dual-Phase-Lag
-