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Baire Category Lower Density Operators with Borel Values
(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 ... 
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 SemiQuasiHomogeneous Plane Curve Singularities
(Springer Nature, 2019)The aim of this paper is to show the possible Milnor numbers of deformations of semiquasihomogeneous 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 Gstructures with applications to almost Hermitian and almost contact structures
(Springer Nature, 2019)For a Riemannian Gstructure, 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
(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 selfadjoint 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, ndimensional 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 Nonnegative and Nondegenerate Polynomials
(Springer Nature, 2018)Let f be a real polynomial, nonnegative at infinity with noncompact zeroset. Suppose that f is nondegenerate 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 postexercise 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 exerciseinduced bronchoconstriction (EIB). Aim of the study ... 
Stress and Anxiety Levels in Pregnant and PostPartum Women during the COVID19 Pandemic
(MDPI, 2020)The aim of this study was to analyze stress and anxiety levels experienced by pregnant and postpartum women during the COVID19 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 vectorbased robust minimal solution for a vectorvalued 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 ... 
Multi PingPong and an Entropy Estimate in Groups
(De Gruyter, 2018)We provide an entropy estimate from below for a finitely generated group of transformation of a compact metric space which contains a pingpong game with several players located anywhere in the group. 
Przyczyny i sposoby przeciwdziałania wykluczeniu cyfrowemu
(Wydawnictwo Naukowe Uniwersytetu Szczecińskiego, 2015)Rozwój technologii informacyjnych jest niewątpliwie jednym z najbardziej dynamicznie rozwijających się obszarów życia. W społeczeństwie powstają różnice między osobami, które posiadają dostęp do technologii informacyjnych, ... 
Comparison of ultrasound image filtering methods by means of multivariable kurtosis
(International Society for Stereology & Image Analysis, 2017)Comparison of the quality of despeckled US medical images is complicated because there is no image of a human body that would be free of speckles and could serve as a reference. A number of various image metrics are ... 
On conformal submersions with geodesic or minimal fibers
(Springer, 2020)We prove that every conformal submersion from a round sphere onto an Einstein manifold with fbers being geodesics is—up to an isometry—the Hopf fbration composed with a conformal difeomorphism of the complex projective ... 
Best Proximity Point Theorem in QuasiPseudometric Spaces
(Hindawi, 2016)In quasipseudometric spaces (not necessarily sequentially complete), we continue the research on the quasigeneralized pseudodistances. We introduce the concepts of semiquasiclosed map and contraction of Nadler type with ... 
Generalized gradients on Lie algebroids
(Springer Netherlands, 2013)Generalized O(n) gradients for connections on Lie algebroids are derived.