Convergence Theorems for Operators Sequences on Functionals of Discrete-Time Normal Martingales by Jinshu Chen

“…We then discuss the integration of these operator-valued functions. Finally, we apply the results obtained here and establish the existence and uniqueness of solution to quantum stochastic differential equations in terms of operators acting on functionals of discrete-time normal martingales M. …”
Get full text

Morphological assessment of the regeneratory function of the tooth root cement with destructive periodontitis by V. V. Glinkin, M. A. Gasbanov, Z. K. Makhmudova, Z. M. Gasanova, O. Leizerovitz

“…Aim: to provide a morphological study of the areas of cement resorption of the tooth root to assess the regenerative function of cement in destructive forms of periodontitis.Materials and methods. …”
Get full text

New Fractional Hermite–Hadamard–Mercer Inequalities for Harmonically Convex Function by Saad Ihsan Butt, Saba Yousaf, Atifa Asghar, Khuram Ali Khan, Hamid Reza Moradi

“…As a result, we introduce several related fractional inequalities connected with the right and left differences of obtained new inequalities for differentiable harmonically convex mappings. As an application viewpoint, new estimates regarding hypergeometric functions and special means of real numbers are exemplified to determine the pertinence and validity of the suggested scheme. …”
Get full text

Research on the functions and potential mechanisms of STAT3 in chronic myelogenous leukemia by Xiaoyun Feng, Yufeng Qin, Yulong Feng, Yingquan Zhuo

“…Western blotting, cell counting, and flow cytometry were utilized to observe its impact on the functions of K562 cells. Then, Gene Set Enrichment Analysis (GSEA) and Gene Set Variation Analysis (GSVA) were applied to deeply explore the regulatory mechanism of STAT3. …”
Get full text

Application of the piecewise constant function approximation method to modified point kinetics by Bruno Nascimento Martins, Alessandro da Cruz Gonçalves, Zelmo Rodrigues de Lima

“…Applying the PCA method approximates the reactivity function to continuous piecewise functions, and the resulting system of first-order differential equations can be solved exactly in each time partition. …”
Get full text

Dynamics of a plant-herbivore model with toxin-induced functional response by Ya Li, Z. Feng

“…In thispaper, a mathematical model for plant-herbivore interactionsmediated by toxin-determined functional response is studied. Themodel consists of three ordinary differential equations describingone herbivore population and two plant species with differenttoxicity levels. …”
Get full text

Non-isothermal cure and exfoliation of tri-functional epoxy-clay nanocomposites by F. Shiravand, J. M. Hutchinson, Y. Calventus

“…The non-isothermal cure kinetics of polymer silicate layered nanocomposites based on a tri-functional epoxy resin has been investigated by differential scanning calorimetry. …”
Get full text

Geodesic B-Preinvex Functions and Multiobjective Optimization Problems on Riemannian Manifolds by Sheng-lan Chen, Nan-Jing Huang, Donal O'Regan

“…Moreover, we study a differentiable multiobjective optimization problem involving new classes of generalized geodesic B-invex functions and derive Kuhn-Tucker-type sufficient conditions for a feasible point to be an efficient or properly efficient solution. …”
Get full text

Monitoring of Efficiency of Russian Agricultural Enterprises Functioning and Reserves for Their Sustainable Development by Vladimir Trukhachev, Igor Sklyarov, Yuliya Sklyarova, Sergei Gorlov, Anna Volkogonova

“…As the authors point out, despite the great interest in researching reserves to improve the efficiency of agricultural enterprises, there remain many unresolved problems of improving the management tools, monitoring, and diagnosing the effectiveness of the functioning of agricultural enterprises. In this regard, a study on this topic has been conducted and its results are presented in the article. …”
Get full text

Proposal for a Battery to Evaluate Functional Capacity in Older Adults with Disabilities by Josu Ascondo, Iñaki Llodio, Bingen Marcos-Rivero, Cristina Granados, Sheila Romero, Aitor Iturricastillo, Javier Yanci

“…The purpose was to design and validate a battery of physical tests, called EFEPD-1.0, adapted to assess functionality in people with disabilities. In addition, we sought to analyze the validity and reliability of this battery both for the total group and differentiated by sex. …”
Get full text

Xenotransplantation of Embryonic Pig Kidney or Pancreas to Replace the Function of Mature Organs by Marc R. Hammerman

Get full text

Mathematical Analysis and Performance Evaluation of the GELU Activation Function in Deep Learning by Minhyeok Lee

“…This study presents a rigorous mathematical investigation of the GELU activation function, exploring its differentiability, boundedness, stationarity, and smoothness properties in detail. …”
Get full text

Assessment of indicators of faculty mass sport functioning in higer educational establishment by V.N. Kirpenko

“…We found clear connection of special ratings of lower level with quantitative assessments of functioning. It permits to differentially approach to comparison and assessment of faculty’s functioning.…”
Get full text

Perturbation and Truncation of Probability Generating Function Methods for Stiff Chemical Reactions by Soyeong Jeong, Pilwon Kim, Chang Hyeong Lee

“…One can reformulate chemical master equations of the stochastic reaction network into a partial differential equation (PDE) of a probability generating function (PGF). …”
Get full text

Probabilistic Basin of Attraction and Its Estimation Using Two Lyapunov Functions by Skuli Gudmundsson, Sigurdur Hafstein

“…We study stability for dynamical systems specified by autonomous stochastic differential equations of the form dX(t)=f(X(t))dt+g(X(t))dW(t), with (X(t))t≥0 an Rd-valued Itô process and (W(t))t≥0 an RQ-valued Wiener process, and the functions f:Rd→Rd and g:Rd→Rd×Q are Lipschitz and vanish at the origin, making it an equilibrium for the system. …”
Get full text

Approximation and Generalization Capacities of Parametrized Quantum Circuits for Functions in Sobolev Spaces by Alberto Manzano, David Dechant, Jordi Tura, Vedran Dunjko

“…Moreover, we develop generalization bounds that connect different function spaces and distances. These results provide a theoretical basis for different applications of PQCs, for example for solving differential equations. …”
Get full text

Functionally Graded Piezoelectric Plates in Cylindrical Bending by Semi-analytical Approach by Sameer Sawarkar, Sandeep Pendhari

“…A simply supported (SS) functionally graded piezoelectric material (FGPM) plate in a 2D domain has been analyzed for stress and displacement by a Semi-analytical approach. …”
Get full text

Notes on Solutions for Some Systems of Complex Functional Equations in ℂ2 by Hong Li, Hong Yan Xu

Get full text

Isolated aneurysm of the internal iliac artery and disorders of the pelvic organs functions by Musić Davor, Radević Božina, Batrićević Goran, Nikolić Goran, Ivanović Vesna, Ješić Radmila

“…Isolated aneurysm of the internal iliac artery should be considered by differential diagnosis in any case of the occurrence of disorders of the pervic organs functions. …”
Get full text

Managing functional neurological disorder: treatment recommendations for health professionals in Australia by Alexander Lehn, Megan Broughton, Vince Cheah, Tjerk J Lagrand, Jessica Davis, David Palmer, Dharsha Petrie, Cindy Bradbury, Rianna Guest, Alana Schuurs, Jacinta Lewis, Rebecca Madden, Julia McLeod, Rodney Marsh, Christine Slade, Tjerk Lagrand

“…Functional Neurological Disorder (FND) can present significant management challenges due to its sometimes-complex presentation and the historical stigma attached to this diagnosis. …”
Get full text