Some estimations of the Łojasiewicz exponent for polynomial mappings on semialgebraic sets / Pewne szacowania wykładnika Łojasiewicza dla odwzorowań wielomianowych na zbiorach semialgebraicznych
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
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].
Authors and Affiliations
Kacper Grzelakowski
Keywords
Related Articles
- EP ID EP316857
- DOI 10.26485/0459-6854/2017/67.2/6
- Views 28
- Downloads 0
Reduced incidence algebras description of cobweb posets and KoDAGs
The notion of reduced incidence algebra of an arbitrary cobweb poset is delivered. The incidence algebra combinatorial characterization for an arbitrary positive integers valued sequence is given.
Nonclassical parameters in kernel estimation
In kernel method, using in estimation as well as in hypothesis testing problems, two parameters should be fixed: kernel function and smoothing parameter. Some methods of kernel estimation and methods of choosing kernel p...
Analysis of a viscoelastic frictionless contact problem with unilateral constraint / Analiza elastycznego kontaktu z uwzględnieniem lepkości w aspekcie jednostronnych więzów
We consider a quasistatic problem which models the contact between a deformable body and a foundation. The material is assumed to have a viscoelastic behavior that we model with a constitutive law with long-term memory;...
An algebra governing reduction of quaternary structures to ternary structures III. A study of generators of the resulting algebra
By applying the reduction matrices of Part I we analyzed in Part II the multiplication tables of generators of the cubic and nonion algebras, deduced the remaining 3 x 3 sub- tables for the resulting algebra, determined...
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.