Effective Lojasiewicz gradient inequality for generic Nash functions with isolated singularity / Efektywna nierówność Łojasiewicza z gradientem dla generycznej funkcji Nasha z izolowana osobliwością
Journal Title: Bulletin de la Société des sciences et des lettres de Łódź, Série: Recherches sur les déformations - Year 2016, Vol 0, Issue 3
Abstract
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Authors and Affiliations
Krzysztof Kurdyka, Beata Osinska-Ulrych, Grzegorz Skalski, Stanisław Spodzieja
No-hole λ-L (k, k – 1, …, 2,1)-labeling for square grid / BEZLUKOWE λ -L(K;K - 1; : : : ;2;1)-ETYKIETOWANIEKWADRATOWEJ KRATY
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Canonical superenergy density and local gravitational stability / Gęstość kanonicznej super energii a lokalna stabilność grawitacyjna
In the framework of general relativity one has very hard problem with gravitational energy density, not satisfactorily solved up to now. It is a consequence of the Einstein Equivalence Principle. To avoid the problem we...
Duality Principle for some σ-ideals of subsets of the real line / Zasada dualności dla pewnych σ- ideałów podzbiorów prostej rzeczywistej
In this note there is proved that a theorem analogous to Sierpinski-Erdös duality theorem for some σ -ideals of subsets of the real line and the family of sets of the first category on the real line is valid.
On a structure of the Lie algebroid of a vector bundle / O strukturze algebroidu Liego wiązki wektorowej
The aim of the article is a construction of the Lie algebroid of a vector bundle without referring to geometrical interpretations which come from jet bundles or the Lie groupoid of linear isomorphisms between fibres of t...
Molecular organization in pentacene thin film on SiO2 surface using spec-troscopic ellipsometry, infrared spectroscopy, and atomic force microscopy / Organizacja molekularna w warstwie pentacenu osadzonej na powierzchni SiO2 przebadana elipsometrią , spektroskopią podczerwieni i mikroskopią sił atomowych
Thin films of pentacene of 32-nm thickness obtained by organic molecular beam depo- sition (OMBD) in high vacuum conditions onto silicon/native silica (Si/SiO2) and fused silica substrates were examined. Anisotropic opti...