Wydział Matematyki i Informatyki | Faculty of Mathematics and Computer Science: Ostatnio dodane
Wyświetlanie pozycji 21-40 z 187
-
Lectures on polynomial equations: Max Noether’s Fundamental Theorem, The Jacobi Formula and Bézout’s Theorem
(Wydawnictwo Uniwersytetu Łódzkiego, 2022)Using some commutative algebra we prove Max Noether’s Theorem, the Jacobi Formula and B´ezout’s Theorem for systems of polynomial equations defining transversal hypersurfaces without common points at infinity. -
Some notes on the Lê numbers in the family of line singularities
(Wydawnictwo Uniwersytetu Łódzkiego, 2022)W pracy wprowadzamy skoki liczb Le nieizolowanych osobliwości hiperpowierzchni w rodzinie deformacji o jednowymiarowym, gładkim zbiorze punktów krytycznych. Co więcej, udowadniamy istnienie deformacji takiej, że pierwsza ... -
Real Nullstellensatz and sums of squares
(Wydawnictwo Uniwersytetu Łódzkiego, 2022)In this paper we highlight the foundational principles of sums of squares in the study of Real Algebraic Geometry. To this aim the article is designed as mainly a self-contained presentation of a variation of the standard ... -
Baire Category Lower Density Operators with Borel Values
; Hejduk, Jacek
; (Springer Nature, 2023)
We prove that the lower density operator associated with the Baire category density points in the real line has Borel values of class Π<SUP>0</SUP><SUB>3</SUB> which is analogous to the measure case. We also introduce ... -
Calabi-Yau threefolds with triple points and type III contractions
(2022)W pracy zajmujemy się kontrakcjami typu III pewnych trójwymiarowych rozmaitości Calabi-Yau. Opisujemy warunki, które muszą być spełnione aby rozmaitość po kontrakcji była wygładzalna. Opisujemy zmianę liczb Hodge'a rozmaitości ... -
Lokalne aspekty entropii i chaosu dyskretnych układów dynamicznych
(2019)In this paper we analyze local aspects of (nonautonomous) dynamical systems of continuous self-functions. We describe a local complexity and unpredictability of such systems. Basic definitions, symbols and theorems ... -
On the lattice of polynomials with integer coefficients: successive minima in L2 (0, 1)
(Instytut Matematyczny Polskiej Akademii Nauk, 2020) -
Milnor Numbers of Deformations of Semi-Quasi-Homogeneous Plane Curve Singularities
(Springer Nature, 2019)The aim of this paper is to show the possible Milnor numbers of deformations of semi-quasi-homogeneous isolated plane curve singularity f. Assuming that f is irreducible, one can write f=∑qα+pβ ≥ pqcαβ xαyβ where cp0c0q≠0, ... -
An integral formula for Riemannian G-structures with applications to almost Hermitian and almost contact structures
(Springer Nature, 2019)For a Riemannian G-structure, we compute the divergence of the vector field induced by the intrinsic torsion. Applying the Stokes theorem, we obtain the integral formula on a closed oriented Riemannian manifold, which we ... -
On the Raşa Inequality for Higher Order Convex Functions
Komisarski, Andrzej; (Springer Nature, 2021)
We study the following (q−1)th convex ordering relation for qth convolution power of the difference of probability distributions μ and ν (ν−μ)∗q≥(q−1)cx0,q≥2, and we obtain the theorem providing a useful sufficient ... -
Linear combination of projections in von Neumann factors
(Springer Nature, 2020)It is shown that any self-adjoint operator in a finite discrete or infinite von Neumann factor can be written as a real linear combination of 4 projections. On the other hand, in any type II1 algebra and in any type II∞ ... -
Construction of a Mathematical Model of Multiobjective Optimization on Permutations
(International Research and Training Center for Information Technologies and Systems of NAS and MES Ukraine, 2020)The article is devoted to the problem of constructing and solving mathematical models of applied problems as multiobjective problems on combinatorial configurations. This question is actual branch because any task of optimal ... -
Module of geodesic foliation on the flat torus
(Wydawnictwo Politechniki Częstochowskiej, 2014)We study properties of geodesic foliations on the flat, n-dimensional torus. Using the isomorphism of the Hodge star, we obtain some facts concerning compact totally geodesic surfaces (which are the leaves of geodesic ... -
The Łojasiewicz Exponent at Infinity of Non-negative and Non-degenerate Polynomials
(Springer Nature, 2018)Let f be a real polynomial, non-negative at infinity with non-compact zero-set. Suppose that f is non-degenerate in the Kushnirenko sense at infinity. In this paper we give a formula for the Łojasiewicz exponent at infinity ... -
Using multitype branching models to analyze bacterial pathogenicity
(Polskie Towarzystwo Matematyczne, 2020)We apply multitype, continuous time, Markov branching models to study pathogenicity in E. coli, a bacterium belonging to the genus Escherichia. First, we examine briefly, the properties of multitype branching processes and ... -
Cytokine profiling in exhaled breath condensate after exercise challenge in asthmatic children with post-exercise symptoms
(Termedia Publishing House, 2016)Introduction: Markers of exhaled breath condensate (EBC) correlate with lung function impairment, airway remodeling and different aspects of the disease such as exercise-induced bronchoconstriction (EIB). Aim of the study ... -
Stress and Anxiety Levels in Pregnant and Post-Partum Women during the COVID-19 Pandemic
(MDPI, 2020)The aim of this study was to analyze stress and anxiety levels experienced by pregnant and post-partum women during the COVID-19 pandemic, as well as to indicate the social and medical factors that could contribute to ... -
Necessary and Sufficient Conditions for Robust Minimal Solutions in Uncertain Vector Optimization
(Springer Nature, 2020)We introduce a new notion of a vector-based robust minimal solution for a vector-valued uncertain optimization problem, which is defined by means of some open cone. We present necessary and sufficient conditions for this ... -
On a Nonsmooth Gauss–Newton Algorithms for Solving Nonlinear Complementarity Problems
(MDPI, 2020)In this paper, we propose a new version of the generalized damped Gauss–Newton method for solving nonlinear complementarity problems based on the transformation to the nonsmooth equation, which is equivalent to some ...