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    Analysis of Biomechanical Characteristics of Bone Tissues Using a Bayesian Neural Network: A Narrative Review by Nail Beisekenov, Marzhan Sadenova, Bagdat Azamatov, Boris Syrnev

    Published 2025-05-01
    “…The bone characteristics of hip, shoulder, skull, vertebrae as a function of the factors of age (young and old), sex (male and female), presence/absence of bone marrow and different test methods are examined. …”
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  5. 5105

    Rate of Approximation for Modified Lupaş-Jain-Beta Operators by M. Qasim, Asif Khan, Zaheer Abbas, Princess Raina, Qing-Bo Cai

    Published 2020-01-01
    “…The main intent of this paper is to innovate a new construction of modified Lupaş-Jain operators with weights of some Beta basis functions whose construction depends on σ such that σ0=0 and infx∈0,∞σ′x≥1. …”
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  6. 5106
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    Gain of Regularity in Extension Problem on Convex Domains by M. Jasiczak

    Published 2015-01-01
    “…This means that the space of functions which admit an extension to a function in the Bergman space Hp(D) is strictly larger than Hp(D∩A), where A is a subvariety.…”
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    Nonclassical Problem for Ultraparabolic Equation in Abstract Spaces by Gia Avalishvili, Mariam Avalishvili

    Published 2016-01-01
    “…We define the space of square integrable vector-functions with values in Hilbert spaces corresponding to the variational formulation of the nonlocal problem for ultraparabolic equation and prove trace theorem, which allows one to interpret initial conditions of the nonlocal problem. …”
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  14. 5114

    Barrier Solutions of Elliptic Differential Equations in Musielak-Orlicz-Sobolev Spaces by Ge Dong, Xiaochun Fang

    Published 2021-01-01
    “…In this paper, we study the solution set of the following Dirichlet boundary equation: −diva1x,u,Du+a0x,u=fx,u,Du in Musielak-Orlicz-Sobolev spaces, where a1:Ω×ℝ×ℝN⟶ℝN, a0:Ω×ℝ⟶ℝ, and f:Ω×ℝ×ℝN⟶ℝ are all Carathéodory functions. Both a1 and f depend on the solution u and its gradient Du. …”
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  15. 5115

    Application of GA in Furniture Modeling Style Design by Heng Yu, Chunjing Liu

    Published 2022-01-01
    “…Since the evaluation criteria mainly depend on people’s subjective thoughts, it is difficult to describe the individual’s adaptive function. …”
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    Invariant Tori for a Two-Dimensional Completely Resonant Beam Equation with a Quintic Nonlinear Term by Min Zhang, Zhe Hu, Yonggang Chen

    Published 2022-01-01
    “…This means studying utt+Δ2u+εfu=0,x∈T2,t∈ℝ, under periodic boundary conditions, where ε is a small positive parameter and fu is a real analytic odd function of the form fu=f5u5+∑i^≥3f2i^+1u2i∧+1,f5≠0. …”
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  18. 5118

    Orthogonally Biadditive Operators by Nonna Dzhusoeva, Ruslan Kulaev, Marat Pliev

    Published 2021-01-01
    “…In the last section of the paper, we investigate orthogonally biadditive operators on a Cartesian product of ideal spaces of measurable functions. We show that an integral Uryson operator which depends on two functional variables is orthogonally biadditive and obtain a criterion of the regularity of an orthogonally biadditive Uryson operator.…”
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  19. 5119

    Application of Wireless Sensor Network Model Based on Big Data Ecosystem in Intelligent Health Monitoring System by Jiaqing Tu

    Published 2022-01-01
    “…At present, the health status monitoring mostly depends on hospital equipment, which has high cost and cannot realize remote analysis. …”
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