On the matrix equation Xn=B over finite fields by Maria T. Acosta-De-Orozco, Javier Gomez-Calderon

“…Let GF(q) denote the finite field of order q=pe with p odd and prime. …”
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Lower Bounds on Solutions of Quadratic Polynomials Defined over Finite Rings by Ali H. Hakami

“…Let m be a positive integer and let Rm denote the ring Z/(m), and let Rmn denote the Cartesian product of n copies of Z/m. …”
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Central Sets Theorem Near of an Idempotent in Wap-Compactification by Ali Pashapournia, Mohammad Akbari Tootkaboni, Davood Ebrahimi Bagha

“…The wap-compactification of a semitopological semigroup S, denoted by Sw, is the collection of all ultrafilters near η∈Sw that forms a compact subsemigroup of βSd, where Sd denotes S as discrete space.…”
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On a class of p-valent starlike functions of order α by M. K. Aouf

“…Let Ω denote the class of functions w(z), w(0)=0, |w(z)|<1 analytic in the unit disc ⋃={z:|z|<1}. …”
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A Linear Map Acts as a Leonard Pair with Each of the Generators of Usl2 by Hasan Alnajjar

“…Let ℱ denote an algebraically closed field with a characteristic not two. …”
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Further Results on Resistance Distance and Kirchhoff Index in Electric Networks by Qun Liu, Jia-Bao Liu, Jinde Cao

“…The set of such new vertices is denoted by I(G). The Q-vertex corona of G1 and G2, denoted by G1⊙QG2, is the graph obtained from vertex disjoint Q(G1) and VG1 copies of G2 by joining the ith vertex of V(G1) to every vertex in the ith copy of G2. …”
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QAR Data Imputation Using Generative Adversarial Network with Self-Attention Mechanism by Jingqi Zhao, Chuitian Rong, Xin Dang, Huabo Sun

“…Therefore, we innovatively propose the imputation models A-AEGAN (“A” denotes attention mechanism, “AE” denotes autoencoder, and “GAN” denotes generative adversarial network) and SA-AEGAN (“SA” denotes self-attentive mechanism) for missing values of QAR data, which can be effectively applied to QAR data. …”
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A Note on Some Bounds of the α-Estrada Index of Graphs by Yang Yang, Lizhu Sun, Changjiang Bu

“…Let A~αG=αDG+1−αAG, where 0≤α≤1 and AG and DG denote the adjacency matrix and degree matrix of G, respectively. …”
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On the acyclic point-connectivity of the n-cube by John Banks, John Mitchem

“…The acyclic point-connectivity of a graph G, denoted α(G), is the minimum number of points whose removal from G results in an acyclic graph. …”
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Normal characterizations of lattices by Carmen D. Vlad

“…Let X be an arbitrary nonempty set and ℒ a lattice of subsets of X such that ∅, X∈ℒ. Let 𝒜(ℒ) denote the algebra generated by ℒ and I(ℒ) denote those nontrivial, zero-one valued, finitely additive measures on 𝒜(ℒ). …”
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The Hahn Sequence Space Defined by the Cesáro Mean by Murat Kirişci

“…The -space of all sequences is given as such that converges and is a null sequence which is called the Hahn sequence space and is denoted by . Hahn (1922) defined the space and gave some general properties. …”
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THE PSEUDO-SLAVIC REALIA IN PSEUDO-ETHNIC FANTASY: THE ISSUES OF TRANSLATION INTO THE RUSSIAN LANGUAGE by Nadezhda V. Rabkina

“…In this research, ‘pseudo-ethnics’ denotes an exotic atmosphere created by words associated with a broad linguacultural cluster. …”
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Multiple Attribute Group Decision-Making Models Using Single-Valued Neutrosophic and Linguistic Neutrosophic Hybrid Element Aggregation Algorithms by Sumin Zhang, Jun Ye

“…However, existing neutrosophic techniques cannot perform the mixed information denotation and aggregation operations of numerical neutrosophic values and linguistic neutrosophic values in neutrosophic decision-making issues. …”
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Role of Quetiapine in the Prevention of ICU Delirium in Elderly Patients at a High Risk by Kamel Walid Y., Kamel Heba Y., Elsherif Ibrahim M.

“…The aim of the present study was to denote the effectiveness of Quetiapine as additive to preventive bundle of delirium in elderly patients with multiple risks for delirium.…”
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Permanents of Hexagonal and Armchair Chains by O. Nekooei, H. Barzegar, A. R. Ashrafi

“…As a consequence of our work, it is proved that if Gk and Hk denote the hexagonal and armchair chains, respectively, then permAG1=4, permAGk=k+12, k≥2, and permAHk=4k with k≥1. …”
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Infinitely Many Trees with Maximum Number of Holes Zero, One, and Two by Srinivasa Rao Kola, Balakrishna Gudla, P. K. Niranjan

“…The span of a graph G, denoted by λ(G), is the minimum of span over all L(2,1)-colorings on G. …”
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The higher-order matching polynomial of a graph by Oswaldo Araujo, Mario Estrada, Daniel A. Morales, Juan Rada

“…Given a graph G with n vertices, let p(G,j) denote the number of ways j mutually nonincident edges can be selected in G. …”
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On subsets of asymptotic bases by Xu, Ji-Zhen, Chen, Yong-Gao

“…In this paper, we prove that if $A$ is an asymptotic basis of order $h$ and $B$ is a nonempty subset of $A$, then either there exists a finite subset $F$ of $A$ such that $F\cup B$ is an asymptotic basis of order $h$, or for any $\varepsilon >0$, there exists a finite subset $F_\varepsilon $ of $A$ such that $d_L(h(F_\varepsilon \cup B))\ge hd_L(B)-\varepsilon $, where $d_L(X)$ denotes the lower asymptotic density of $X$ and $hX$ denotes the set of all $x_1+\cdots +x_h$ with $x_i\in X$ $(1\le i\le h)$. …”
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Remarks on μ″-measurbale sets: regularity, σ-smootheness, and measurability by Carman Vlad

“…I(ℒ) denotes the subset of ℳ(ℒ) of nontrivial zero-one valued measures. …”
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Frequency-Uniform Decomposition, Function Spaces , and Applications to Nonlinear Evolution Equations by Shaolei Ru, Jiecheng Chen

“…By combining frequency-uniform decomposition with (), we introduce a new class of function spaces (denoted by ). Moreover, we study the Cauchy problem for the generalized NLS equations and Ginzburg-Landau equations in .…”
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