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
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.
Binary and ternary structures in physics I. The hierarchy structure of Turing machine in physics / Struktury binarne i ternarne w fizyce I. Struktura hierarchiczna maszyny Turinga w fizyce.
We recall some basic facts on Turing machine and observe its hierarchy structure. Associating the particle and anti-particle to the push down automaton and three quarks to linear bounded automaton, respectively. We can d...
Topological entropy and homogeneous measure for a solenoid / Entropia topologiczna i miara jednorodna dla solenoidu
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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...
Magnetoresistance in thin films uncluding thedomain / Magnetoopór w cienkich warstwach zawierających strukturę domenową
We have shown that the magnetoresistance of the domain structure present in the thin layer of iron is dependent on the relative ratio width of the domain wall to the length of the sample. Moreover magnetoresistance as a...