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  • Managing Generation Z : Mot... Managing Generation Z : Motivation, Engagement and Loyalty (Edition 1)
    Joanna Nieżurawska; Agnieszka Niemczynowicz; Radosław Antoni Kycia 01/2023
    eBook
    Open access

    Generation Z (Gen Z) is the young generation born between the mid-1990s and 2010s. They are now entering the market and starting their first jobs. Therefore, managers must shape the company workplace ...
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  • Managing Generation Z : Mot... Managing Generation Z : Motivation, Engagement and Loyalty (Edition 1)
    01/2023
    eBook
    Open access

    Generation Z (Gen Z) is the young generation born between the mid-1990s and 2010s. They are now entering the market and starting their first jobs. Therefore, managers must shape the company workplace ...
Full text
Available for: UL
3.
  • The Poincare Lemma for Codi... The Poincare Lemma for Codifferential, Anticoexact Forms, and Applications to Physics
    Kycia, Radosław Antoni Resultate der Mathematik, 10/2022, Volume: 77, Issue: 5
    Journal Article
    Peer reviewed
    Open access

    The linear homotopy theory for codifferential operator on Riemannian manifolds is developed in analogy to a similar idea for exterior derivative. The main object is the cohomotopy operator, which ...
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4.
  • Perturbed Lane–Emden Equati... Perturbed Lane–Emden Equations as a Boundary Value Problem with Singular Endpoints
    Kycia, Radosław Antoni Journal of dynamical and control systems, 04/2020, Volume: 26, Issue: 2
    Journal Article
    Peer reviewed
    Open access

    The paper presents the solution for the existence of analytic solutions for some generalized Lane–Emden (LE) equation. Such a solution exists on the unit interval, in which endpoints are ...
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  • The Poincare Lemma, Antiexa... The Poincare Lemma, Antiexact Forms, and Fermionic Quantum Harmonic Oscillator
    Kycia, Radosław Antoni Resultate der Mathematik, 09/2020, Volume: 75, Issue: 3
    Journal Article
    Peer reviewed
    Open access

    The paper focuses on various properties and applications of the homotopy operator, which occurs in the Poincaré lemma. In the first part, an abstract operator calculus is constructed, where the ...
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6.
  • On the generalized Emden–Fo... On the generalized Emden–Fowler and isothermal spheres equations
    Kycia, Radosław Antoni; Filipuk, Galina Applied mathematics and computation, 08/2015, Volume: 265
    Journal Article
    Peer reviewed

    In this paper we study the generalized Emden–Fowler and the generalized isothermal spheres equations. We examine singularities of solutions which are analytic at the origin. We also find an ...
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7.
  • A Mathematica package to de... A Mathematica package to derive weight-homogeneous decompositions of vector fields
    Kycia, Radosław Antoni Journal of physics. Conference series, 11/2014, Volume: 563, Issue: 1
    Journal Article
    Peer reviewed
    Open access

    Description of a Mathematica package that performs weight-homogeneous decompositions of polynomial vector fields will be presented. The package has also functions that compute the Kovalevskaya matrix ...
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  • KHNNs: hypercomplex neural networks computations via Keras using TensorFlow and PyTorch
    Niemczynowicz, Agnieszka; Kycia, Radosław Antoni arXiv.org, 06/2024
    Paper, Journal Article
    Open access

    Neural networks used in computations with more advanced algebras than real numbers perform better in some applications. However, there is no general framework for constructing hypercomplex neural ...
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  • Fully tensorial approach to hypercomplex neural networks
    Niemczynowicz, Agnieszka; Kycia, Radosław Antoni arXiv.org, 06/2024
    Paper, Journal Article
    Open access

    Fully tensorial theory of hypercomplex neural networks is given. The key point is to observe that the algebra multiplication can be represented as a rank three tensor. This approach is attractive for ...
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  • Inverse problem in the calculus of variations -- functional and antiexact forms
    Kycia, Radosław Antoni arXiv (Cornell University), 09/2022
    Paper, Journal Article
    Open access

    We connect the well-known theory of functional forms of variational bicomplex with the theory of antiexact differential forms. We identify antiexact functional forms as an obstruction to the ...
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