On the Matrix Versions of Incomplete Extended Gamma and Beta Functions and Their Applications for the Incomplete Bessel Matrix Functions by Chaojun Zou, Mimi Yu, Ahmed Bakhet, Fuli He

“…Furthermore, we give a specific application for the incomplete Bessel matrix function by using incomplete extended Gamma and Beta functions; at last, we construct the relation between the incomplete confluent hypergeometric matrix functions and incomplete Bessel matrix function.…”
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Overcomplete intermediate representation of two-particle Green's functions and its relation to partial spectral functions by Selina Dirnböck, Seung-Sup B. Lee, Fabian B. Kugler, Sebastian Huber, Jan von Delft, Karsten Held, Markus Wallerberger

“…Two-particle response functions are a centerpiece of both experimental and theoretical quantum many-body physics. …”
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Scalar-on-Function Mode Estimation Using Entropy and Ergodic Properties of Functional Time Series Data by Mohammed B. Alamari, Fatimah A. Almulhim, Ibrahim M. Almanjahie, Salim Bouzebda, Ali Laksaci

“…The particular interest of this contribution arises from the difficulty in incorporating the mathematical properties of a functional mixing process. In contrast, ergodicity is characterized by the Kolmogorov–Sinai entropy, which measures the dynamics, the sparsity, and the microscopic fluctuations of the functional process. …”
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Application of the Algebraic Extension Method to the Construction of Orthogonal Bases for Partial Digital Convolutions by Aruzhan Kadyrzhan, Akhat Bakirov, Dina Shaltykova, Ibragim Suleimenov

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Some results about negabent functions by REN Chuan-lun1, LIU Feng-mei4, LI Zhong-xian1, NIU Xin-xin1, YANG Yi-xian1

“…By integer solutions of the quadratic diophantine equation,the indgement and construction of Negabent func-tions was studied.A condition for judging whether a function was Negabent and an indirect method of constructing Negabent functions were given.The result that many Maiorana-McFarland bent functions are not Negabent functions was proven.…”
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Functional Conditions and State Of Hot Mix Asphalt Pavement and its Structure of Lithuanian Motor Roads by Kazys Petkevičius, Daiva Žilionienė, Viktoras Vorobjovas

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Construction Conditions and Applications of a Hilbert-Type Multiple Integral Inequality Involving Multivariable Upper Limit Functions and Higher-Order Partial Derivatives by Yong Hong, Qian Zhao, Zhihong Zhao

“…Through the utilization of the construction theorem for Hilbert-type multiple integral inequalities with homogeneous kernels, our investigation centers on a Hilbert-type multiple integral inequality that involves multivariable upper limit functions and higher-order partial derivatives. …”
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Rh(II)/Pd(0) Dual Catalysis: Carbenoid N-H Insertion/Allylation Cascade Reaction to Construct Highly Functionalized and Polysubstituted Pyrrolidines by Maocheng Tang, Xianyan Jiao, Deping He, Ji-Xing Zhao, Ping Liu, Chun-Tian Li

“…This protocol provide an efficient approach for the construction of diverse highly functionalized and polysubstituted pyrrolidines in high yields (up to 91%) with excellent chemoselectivities and high diastereoselectivities (>20:1) under mild reaction conditions.…”
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THE CONSTRUCTION OF THE LORENZ CURVE AND ESTIMATION OF INDICATORS OF DIFFERENTIATION OF MONETARY INCOMES OF POPULATION BASED ON EXPONENTIAL DISTRIBUTION by V. Lebedev, K. Lebedev

“…The article discusses the use of the two-parameter exponential distribution function to construct the Lorenz curve and to calculate such indicators of differentiation of population by income, as the Gini coeficient, Rainbow coeficient, Funds coeficient etc. …”
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Construction of a Hybrid Class of Special Polynomials: Fubini–Bell-Based Appell Polynomials and Their Properties by Yasir A. Madani, Abdulghani Muhyi, Khaled Aldwoah, Amel Touati, Khidir Shaib Mohamed, Ria H. Egami

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Retracted: Construction of Holographic Immersion Chamber Based on Multisource Information Fusion and Interactive Virtual Reality Technology by Journal of Function Spaces

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Confidence Intervals for the Mean Function of a Compound Cyclic Poisson Process in the Presence of Power Function Trend by Faisal Muhammad, I Wayan Mangku, Bib Paruhum Silalahi

“…The objectives of this paper are: (i) to construct confidence interval for the mean function of a compound cyclic Poisson process with significance level , (ii) to prove that the probability that the mean function contained in the confidence interval converges to , and (iii) to observe, using simulation study, that the probabilities of the mean function contained in the confidence intervals for bounded length of observation interval. …”
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New construction of enhanced cross Z-complementary set for generalized spatial modulation by PENG Xiuping, LIU Yinna, WANG Yu, NIU Xiaoxia

“…In order to expand the existence space of enhanced cross Z-complementary set (E-CZCS), based on the extended generalized Boolean function (EGBF), the direct construction method of enhanced cross Z-complementary sets was proposed. …”
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THE METHODS OF CONSTRUCTION OF SYSTEMS OF CONTROL OF HYDROLITHOSPHERE PROCESSES by G. E. Veselov, M. I. Pershin

“…The paper discusses methods of constructing control systems hydrolithosphere processes. …”
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Directional Convexity of Convolutions of Harmonic Functions by Jay M. Jahangiri, Raj Kumar Garg

“…Harmonic functions can be constructed using two analytic functions acting as their analytic and coanalytic parts but the prediction of the behavior of convolution of harmonic functions, unlike the convolution of analytic functions, proved to be challenging. …”
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R-function method and variational method for the bending problem of functionally graded plates with fixed supports and complex shapes by Kexin Su, Shanqing Li

“…When using numerical methods like the variational method to solve the problem, trial functions can generally be constructed only for simple-shaped boundaries. …”
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Rough Paths above Weierstrass Functions by Cellarosi, Francesco, Selk, Zachary

“…However, rough paths theory is not inherently random and therefore can treat irregular deterministic driving signals such as a (vector-valued) Weierstrass function. This note supplies a construction of a rough path above vector-valued Weierstrass functions.…”
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General Complex-Valued Overlap Functions by Ying Chen, Lvqing Bi, Bo Hu, Songsong Dai

“…We study some properties of these complex-valued overlap functions and their construction methods.…”
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Correlation functions of weakly inhomogeneous plasma by Т. Қоштыбаев, М. Алиева

“…Particularly, it examines the impact of an external variable field on the kinetic and high-frequency properties of the plasma, including kinetic equations, correlation functions, and distribution functions of charged particles. …”
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Copula-Based Bivariate Modified Fréchet–Exponential Distributions: Construction, Properties, and Applications by Hanan Haj Ahmad, Dina A. Ramadan

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