Fractional Calculus of Variations for Composed Functionals with Generalized Derivatives by Ricardo Almeida

“…We focus on variational problems involving the composition of functionals, deriving the Euler–Lagrange equation for this generalized case and providing optimality conditions for extremal curves. …”
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The role of excitable tissues in the systemic organization of the body functions by Y. E. Vagin

“…They are an integral part of the information and executive processes of functional systems and ensure the continuity of the body's functions.…”
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ANN Activation Function Estimators for Homomorphic Encrypted Inference by Mhd Raja Abou Harb, Baris Celiktas

“…However, efficiently handling non-linear activation functions, specifically Sigmoid and Tanh, remains a significant computational challenge for encrypted inference using Artificial Neural Networks (ANNs). …”
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Functional Foods in Clinical Trials and Future Research Directions by Zsuzsa Emma Hajzer, Walaa Alibrahem, Nihad Kharrat Helu, Csaba Oláh, József Prokisch

“…Clinical trials serve as a cornerstone in the meticulous assessment of the efficacy and myriad health benefits that functional foods offer. These trials are not merely confined to the specific domain of functional foods; rather, they resonate throughout the expansive realms of nutrition science and public health, illuminating the intricate interdependencies that exist among these disciplines. …”
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Non-Carathéodory analytic functions with respect to symmetric points by Daniel Breaz, Kadhavoor R. Karthikeyan, Elangho Umadevi

“…Here, we try to obtain various interesting properties of functions which are not Carathéodory. Integral representation, interesting conditions for starlikeness and inclusion relations for functions in these classes are obtained.…”
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Functional omics of ORP7 in primary endothelial cells by Juuso H. Taskinen, Minna Holopainen, Hanna Ruhanen, Miesje van der Stoel, Reijo Käkelä, Elina Ikonen, Salla Keskitalo, Markku Varjosalo, Vesa M. Olkkonen

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An Extension of the Mittag-Leffler Function and Its Associated Properties by Gauhar Rahman, Abdus Saboor, Zunaira Anjum, Kottakkaran Sooppy Nisar, Thabet Abdeljawad

“…We then deliberately find certain various properties and integral transformations of the said function εa,b;p,vκz1. …”
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Multidimensional negative definite functions on the product of commutative hypergroups by Hossam A Ghany

“… The main aim of this paper is to give the integral representations for the so called multidimensional negative definite functions defined on the product of commutative hypergroups. …”
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Estimating Cumulative Distribution Function Using Gamma Kernel by Behzad Mansouri, Sami Atiyah Sayyid Al-Farttosi, Habiballah Mombeni, Rahim Chinipardaz

“…In this article, we propose the gamma kernel estimator for the cumulative distribution functions with nonnegative support. We derive the asymptotic bias and variance of the proposed estimator in both boundary and interior regions and show that it is free of boundary bias. …”
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Cholemic Nephropathy: Hyperbilirubinemia and its Impact on Renal Function by Jonathan S Chávez-Iñiguez, Alejandra Meza-Ríos, Arturo Santos-Garcia, Guillermo García-García, Juan Armendáriz-Borunda

“…The relationship between liver disease and renal impairment, especially the effect of hyperbilirubinemia on renal tissue and renal function, has not been fully elucidated. These considerations deem necessary for nephrologists, when performing a clinical evaluation of patients with liver diseases, for the implementation of an integrated medical approach. …”
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Ulam’s Type Stability of Involutional-Exponential Functional Equations by Jaeyoung Chung

“…We also consider the stability of L∞-version |f(x+σy)-f(x)f(y)|L∞(R2n)≤ϵ, where f:Rn→C is a locally integrable function.…”
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FUNCTIONAL IMPAIRMENTS OF GASTROINTESTINAL MOTILITY AND GASTROINTESTINAL TRACT MICROBIOTA by A.V. Malkoch, S.V. Bel'mer, M.D. Ardatskaya

“…Prebiotics are an integral component of the complex therapy for functional impairments of gastrointestinal tract.Key words: gastrointestinal tract, motility, functional impairments, mictobiota, short chain fatty acids, prebiotics, lactulose.…”
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Fekete-Szegö and Hankel inequalities related to the sine function by Muhammad Ashfaq, Afis Saliu, Syed Zakar Hussain Bukhari, Issra Batool

“…Particularly, we obtain certain inequality for functions involving Poisson distribution. Furthermore, we also find the second Hankel determinant and other inequalities related to this newly defined class.…”
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Hydrological conditions of functioning of Ust-Manych fish channels by Viktor N. Shkura, Aleksey V. Shevchenko

The role of extracellular ATP in regulating the functional activity of cells by V. P. Patrakeeva

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Editorial: Functionalization of porous materials for sustainable energy applications by Vanadium Li, Ayrat Gizzatov, Honghong Shi, Jingbo Louise Liu, Jingbo Louise Liu, Jingbo Louise Liu

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A gate driver for IGBT with data acquisition function by YANG Lele, CHEN Yanping, DOU Zechun, QI Yu, XIE Shunmeng, WE Haishan

“…The gate driver is based on field programmable gate array, which integrates pulse control, drive and protection, signal acquisition, and serial communication functions. …”
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Correlation functions for non-conformal Dp-brane holography by Nikolay Bobev, Guillermo Mera Álvarez, Hynek Paul

“…This suggests that holographic correlation functions in this setup can be computed by integrating standard CFT correlators over the auxiliary extra dimensions. …”
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Crucial functions of gut microbiota on gut–liver repair by Yamei Wang, Huining Yan, Qianqian Zheng, Xun Sun

“…Inflammatory bowel disease (IBD), metabolic-associated steatohepatitis (MASH), and the gut–liver axis exemplify the complex interplay between the gut microbiota and hepatic function. This review explores the interplay between microbial metabolites and their roles in maintaining intestinal integrity and promoting liver regeneration. …”
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Reconstruction of Piecewise Smooth Functions Based on Fourier Extension by Xusheng Li, Zhenyu Zhao, Xianzheng Jia

“…This paper proposes a hierarchical Fourier extension framework for the accurate reconstruction of piecewise smooth functions with mixed-order singularities. To address key challenges in spectral approximation–namely boundary-induced artifacts, instability in edge detection, and loss of accuracy near discontinuities–the method integrates three main components: (1) boundary-focused Fourier extensions that isolate endpoint effects while preserving internal structures; (2) a multi-stage edge detection strategy combining spectral mollifiers and coordinate transformations to identify discontinuities in function values and their derivatives; (3) adaptive domain partitioning followed by localized Fourier extensions to retain spectral accuracy on smooth segments. …”
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