• Weighted Analogue of LBB Conditions for Solving the Stokes Problem with Model Boundary Conditions in a Domain with Singularity 

  Rukavishnikov, Alexey V.; Рукавишников, Алексей В. (Journal of Siberian Federal University. Сибирский федеральный университет, 2025-02)

  In the paper the concept of a Rν -generalized solution for the Stokes problem with model boundary conditions in a domain with a corner singularity is defined. Weighted analogue of the Ladyzhenskaya-Babuska-Brezzi conditions ...

• On some Commutative and Idempotent Finite Groupoids Associated with Subnets of Multilayer Feedforward Neural Networks 

  Litavrin, Andrey V.; Moiseenkova, Tatyana V.; Литаврин, Андрей В.; Моисеенкова, Татьяна В. (Journal of Siberian Federal University. Сибирский федеральный университет, 2025-02)

  The work studies commutative and idempotent finite groupoids that are associated with subnetworks of multilayer feedforward neural networks (hereinafter simply neural networks). Previously, the concept of a neural network ...

• On Weakly Contractions Via w-distances 

  Hossein Lakzian; Sedigheh Barootkoob; Nicola Fabiano; Stojan Radenovi´c; Хоссейн Лакзиан; Седигех Барооткуб; Никола Фабиано; Стоян Раденович (Journal of Siberian Federal University. Сибирский федеральный университет, 2025-02)

  In this article, we will check whether the known results remain valid if the metric d is replaced by the w-distance p. we show that in some contractive conditions where w-distance p participates instead of metric d, ...

• On the Aris-Amundson model 

  Kytmanov, Alexander M.; Khodos, Olga V.; Кытманов, Александр М.; Ходос, Ольга В. (Journal of Siberian Federal University. Сибирский федеральный университет, 2025-02)

  The work is devoted to the study of the real roots of the system of transcendental Aris– Amundson equations. It is shown that the number of real roots is related to the number of real roots of some entire function ...

• On Spectra and Minimal Polynomials in Finite Semifields 

  Kravtsova, Olga V.; Kuzmin, Ilya K.; Кравцова, Ольга В.; Кузьмин, Илья К. (Journal of Siberian Federal University. Сибирский федеральный университет, 2025-02)

  We apply the notion of a one-side-ordered minimal polynomial to investigations in finite semifields. A proper finite semifield has non-associative multiplication, that leads to the anomalous properties of its left and ...

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