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  • Baire Category Lower Density Operators with Borel Values 

    Balcerzak, Marek; Hejduk, Jacek ORCID; Wachowicz, Artur (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 &#928;<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) 

    Banaszczyk, Wojciech (Instytut Matematyczny Polskiej Akademii Nauk, 2020)
  • Milnor Numbers of Deformations of Semi-Quasi-Homogeneous Plane Curve Singularities 

    Michalska, Maria ORCID; Walewska, Justyna ORCID (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 

    Niedziałomski, Kamil (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 ORCID; Rajba, Teresa (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 

    Goldstein, Stanisław; Paszkiewicz, Adam ORCID (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 

    Koliechkina, Liudmyla ORCID; Dvirna, Olena A.; Nahirna, Alla M. (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 

    Kaźmierczak, Anna (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 

    Oleksik, Grzegorz; Różycki, Adam (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 

    Sakowski, Sebastian; Tahir, Daniah; Ingemar, Kaj; Bartoszek, Krzysztof; Majchrzak, Marta; Parniewski, Paweł (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 

    Sielski, Piotr; Majak, Paweł; Jerzyńska, Joanna; Bojo, Magdalena; Brzozowska, Agnieszka; Koczkowska, Magdalena; Stelmach, Włodzimierz; Stelmach, Rafał; Janas, Anna; Stelmach, Iwona (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 

    Horzelski, Wojciech; Stepowicz, Anna; Wencka, Barbara; Grzesiak, Mariusz; Bieńkiewicz, Jan (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 

    Studniarski, Marcin; Stasiak, Aleksandra; Michalak, Anna (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 

    Śmietański, Marek ORCID (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 Ping-Pong and an Entropy Estimate in Groups 

    Walczak, Paweł ORCID; Tarchała, Katarzyna (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 ping-pong game with several players located anywhere in the group.
  • Przyczyny i sposoby przeciwdziałania wykluczeniu cyfrowemu 

    Wojczyk, Sebastian; Lipnicka, Marta ORCID; Lipnicki, Artur ORCID (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 

    Zajączkowski, Paweł ORCID; Nieniewski, Mariusz (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 

    Zawadzki, Tomasz (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 Quasi-Pseudometric Spaces 

    Plebaniak, Robert (Hindawi, 2016)
    In quasi-pseudometric spaces (not necessarily sequentially complete), we continue the research on the quasi-generalized pseudodistances. We introduce the concepts of semiquasiclosed map and contraction of Nadler type with ...
  • Generalized gradients on Lie algebroids 

    Balcerzak, Bogdan; Pierzchalski, Antoni (Springer Netherlands, 2013)
    Generalized O(n) -gradients for connections on Lie algebroids are derived.

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