Kronecker product bases and their applications in approximation theory by Mohra Zayed, Gamal Hassan

“…Additionally, we examine the growth order and type and $ T_{\rho} $-property of series composed of Kronecker product bases that represent entire functions. We also delve into the convergence properties of Kronecker product bases associated with special functions, including Bessel, Chebyshev, Bernoulli, Euler, and Gontcharoff polynomials. …”
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Generative language reconstruction from brain recordings by Ziyi Ye, Qingyao Ai, Yiqun Liu, Maarten de Rijke, Min Zhang, Christina Lioma, Tuukka Ruotsalo

“…Here, we propose a method that addresses language reconstruction through auto-regressive generation, which directly uses the representation decoded from functional magnetic resonance imaging (fMRI) as the input for a large language model (LLM), mitigating the need for pre-constructed candidates. …”
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Cyborg and the Future Man: Children’s Stories for Chinese Boy Readers by Runyuan Bai

“…It functions as both a reflection of and a response to social anxieties. …”
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An analog of the Cauchy formula for certain Beltrami equations by D.B. Katz, B.A. Kats

“…Their solutions generalize holomorphic functions. As known, solutions to many problems of the complex analysis are based on application of the Cauchy formula, i.e., on the integral representation of analytical functions by curvilinear integrals over boundaries of the domains of analyticity. …”
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On the Impulsive Synchronization Control for a Class of Chaotic Systems by Bo Wang, Peng Shi, Xiucheng Dong

“…Based on impulsive control theory and by constructing a novel Lyapunov functional, new impulsive synchronization strategies are presented and possess more practical application value. …”
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On the Instability of a Class of Periodic Travelling Wave Solutions of the Modified Boussinesq Equation by Lynnyngs Kelly Arruda

“…Periodic travelling wave solutions with a fixed fundamental period L will be constructed by using Jacobi's elliptic functions. It will be shown that these solutions, called dnoidal waves, are nonlinearly unstable in the energy space for a range of their speeds of propagation and periods.…”
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THE MODELING OF PROCESSES OIF DRY MATERIALS SEPARA- TION FOR DIFFERENT LOTS OF SPECIAL OPERATIONS IN SYN- THESIZED SEPARATORS by U.I. ERMOLJEV, Y.I. LUKINOV

“…A general approach of the constructing of a functioning stochastic multimeasured analytic model, describing dry materials system separation on different combinations of special technological operations forming cleaning aggregate structure is given here. …”
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ON DEFINITION OF BEAMS INHOMOGENEOUS RHEOLOGICAL PROPERTIES by Tatyana A. ANIKINA, Ivan V. BOGACHEV, Alexander O. VATULYAN

“…The operator equations linking required and prescribed functions are presented. The iterative process is constructed, computational experiments results of the definition of the beams inhomogeneous rheological properties  for various laws of distribution of required features are presented.…”
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The relevance of the data collection process in the VioGén system from a feminist perspective by Javiera Farías Pereira

“…This work will focus on one of the most essential parts of the tool’s functioning: the data collection process. I intend to illustrate how this process of data collection can be influenced by the bias and stereotypes that have been constructed within criminal law concerning gender violence victims and the way this affects, in the end, the system’s functioning. …”
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Research on formal security policy model specification and its formal analysis by LI Li-ping1, QING Si-han1, ZHOU Zhou-yi1, HE Jian-bo1, WEN Hong-zi3

“…Formal method is one of the kernel technologies of developing high security level computer system.But by current formal development method,assurance of security policy model correctness cannot be provided directly using machine proof which is stricter than manual proof,correspondence between security policy model and security functional specification is also hard to achieve.To solve these problems,a new and effective method was proposed for specification constructing and proving by extending the specification technique of security functional specification into the specifica-tion of security policy model.Also,BLP model was specified and analyzed as an example.…”
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Some Carleman-type inequalities in ( p , q ) $(p,q)$ -calculus by Jiao Yu, Lin Han

“…Abstract In this paper, we construct ( p , q ) $\left (p,q\right )$ -type Jessen’s inequality using the properties of convex functions. …”
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Asymptotic Behavior of Multigroup SEIR Model with Nonlinear Incidence Rates under Stochastic Perturbations by Feng Wang, Shan Wang, Youhua Peng

“…Then, the global asymptotical stability in probability of the model with R0<1 is established by constructing Lyapunov functions. Next, we prove that the disease can die out exponentially under certain stochastic perturbation while it is persistent in the deterministic case when R0>1. …”
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A Fractional Order Model for Viral Infection with Cure of Infected Cells and Humoral Immunity by Adnane Boukhouima, Khalid Hattaf, Noura Yousfi

“…We first show that the model is mathematically and biologically well-posed. By constructing suitable Lyapunov functionals, the global stability of equilibria is established and characterized by two threshold parameters. …”
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Categorical Properties of Soft Sets by Min Zhou, Shenggang Li, Muhammad Akram

“…It is proved that the category SFun of soft sets and soft functions has equalizers, finite products, pullbacks, and exponential properties. …”
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Rehabilitation of patients with COVID-associated stroke using individual cognitive training: A case study by Alina R. Gasanbekova, Irina P. Yastrebtseva, Viktoria V. Belova, Yelena A. Bochkova

“…The patient showed an improvement in cognitive functions: motor, dynamic and constructive praxis, object gnosis, visual-constructive skills, attention, abstract thinking and speech.…”
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L’écriture cinématographique de la sociologie filmique. Comment penser en sociologue avec une caméra ? by Pierre Maillot

“…Firstly, participants needed to know about their tools’ functions and how these might be wielded. After all, the only people who can film or take pictures are photographers or cinematographers. …”
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Fair curve designing by Said-Ball curve. by Sana Zafar, Maria Hussain

“…The optimal values of the remaining free parameters that are the weights of the underlying curve are obtained by constructing the optimization problems with stretch energy and curvature variation energy as the objective functionals. …”
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Existence and Exponential Stability of Periodic Solution of High-Order Hopfield Neural Network with Delays on Time Scales by Yongkun Li, Lili Zhao, Ping Liu

“…On time scales, by using the continuation theorem of coincidence degree theory and constructing some suitable Lyapunov functions, the periodicity and the exponential stability are investigated for a class of delayed high-order Hopfield neural networks (HHNNs), which are new and complement of previously known results. …”
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NUMERICAL SOLUTION OF LINEAR FREDHOLM AND VOLTERRA INTEGRAL EQUATION OF THE SECOND KIND BY USING LEGENDRE WAVELETS

“…We use quadrature formula for the calculation of the products of any functions, which are required in the approximation for the integral equations. …”
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Dynamic electromyographic parameters of masticatory muscles and balance occlusion during partial absence of teeth

“…The study was carried out to study the effectiveness of fixed constructions of dentures, based on the performance of the functional activity of the masticatory muscles and balance the occlusion in patients with partial absence of teeth. …”
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