Functions of Bounded κφ-Variation in the Sense of Riesz-Korenblum by Mariela Castillo, Sergio Rivas, María Sanoja, Iván Zea

“…We present the space of functions of bounded κφ-variation in the sense of Riesz-Korenblum, denoted by κBVφ[a,b], which is a combination of the notions of bounded φ-variation in the sense of Riesz and bounded κ-variation in the sense of Korenblum. …”
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3-Group Divisible Designs with 3 Groups and Block Size 5 by Zebene Girma Tefera, Dinesh G. Sarvate, Samuel Asefa Fufa

“…In this paper, we extend the definitions to 3 groups and block size 5, and we denote such GDD by 3-GDD (n, 3, 5, μ1, μ2). Some necessary conditions for the existence of these GDDs are developed, and several new constructions and specific instances of nonexistence are given.…”
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Énoncés capacitifs et constructions à sujet locatif : quel alignement syntaxe-sémantique ? by Christelle Lacassain, Caroline Marty

“…The alignment between syntactic function and semantic role is not prototypical, as the subject referent is neither an agent nor an experiencer, but denotes, at first sight, a place or a temporal period. …”
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PLAGIARISM AS ANTROPOLOGICAL AND SOCIAL PHENOMENON by T. S. Parkhomenko

“…With the nominates, which denoted the practice, "Plagium" had as its predecessors the Greek "Λογοκλόπία" and the Latin "Furta". …”
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On compactness of lattices by Carmen D. Vlad

“…Let X be an arbitrary set and L a lattice of subsets of X. We denote by I(L) the set of those zero-one-valued nontrivial, finitely additive measures on A(L), the algebra generated by L, and we introduce other subsets of I(L). …”
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A New Exceptional Family of Elements and Solvability of General Order Complementarity Problems by Na Huang, Changfeng Ma

“…By using the concept of exceptional family, we propose a sufficient condition of a solution to general order complementarity problems (denoted by GOCP) in Banach space, which is weaker than that in Németh, 2010 (Theorem 3.1). …”
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New Results on the Geometric-Arithmetic Index by Akbar Jahanbani, Maryam Atapour, Zhibin Du

“…Let G be a graph with vertex set VG and edge set EG. Let du denote the degree of vertex u∈VG. The geometric-arithmetic index of G is defined as GAG=∑uv∈EG2dudv/du+dv. …”
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Function theory for a beltrami algebra by B. A. Case

“…The functions f associated with a particualr parameter function g on a domain D form a Beltrami algebra denoted by the pair (D,g) and a function theory is developed in this algebra. …”
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Study on the Existence and Uniqueness of Solution of Generalized Capillarity Problem by Li Wei, Liling Duan, Haiyun Zhou

“…By using the perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta (1978), the abstract result on the existence and uniqueness of the solution in Lp(Ω) of the generalized Capillarity equation with nonlinear Neumann boundary value conditions, where 2N/(N+1)<p<+∞ and N≥1 denotes the dimension of RN, is studied. The equation discussed in this paper and the methods here are a continuation of and a complement to the previous corresponding results. …”
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Existence and Uniqueness of Positive Solution for a Boundary Value Problem of Fractional Order by J. Caballero, J. Harjani, K. Sadarangani

“…We are concerned with the existence and uniqueness of positive solutions for the following nonlinear fractional boundary value problem: D0+αu(t)+f(t,u(t))=0, 0≤t≤1, 3<α≤4, u(0)=u′(0)=u″(0)=u″(1)=0, where D0+α denotes the standard Riemann-Liouville fractional derivative. …”
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Subordination by convex functions by Rosihan M. Ali, V. Ravichandran, N. Seenivasagan

“…For a fixed analytic function g(z)=z+∑n=2∞gnzn defined on the open unit disk and γ<1, let Tg(γ) denote the class of all analytic functions f(z)=z+∑n=2∞anzn satisfying ∑n=2∞|angn|≤1−γ. …”
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Pick’s Theorem in Two-Dimensional Subspace of R3 by Lin Si

“…In the Euclidean space R3, denote the set of all points with integer coordinate by Z3. …”
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Convex functions and the rolling circle criterion by V. Srinivas, O. P. Juneja, G. P. Kapoor

“…Given 0≤R1≤R2≤∞, CVG(R1,R2) denotes the class of normalized convex functions f in the unit disc U, for which ∂f(U) satisfies a Blaschke Rolling Circles Criterion with radii R1 and R2. …”
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The Competitive Structure and Strategic Positioning of the Bank Industry in the Face of Major Environmental Disturbances: A Study of Brazilian Banks by Gisele Walczak Galilea, William Eid Junior

“…Our study therefore provides empirical evidence that we will hardly find periods of full strategic stability. These findings denote that, at some moment, there is a change in the strategic positioning of these firms and provides insight with regard to the competitive patterns of an industry over the period.…”
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Smoothness conditions on measures using Wallman spaces by Charles Traina

“…In this paper, X denotes an arbitrary nonempty set, ℒ a lattice of subsets of X with ∅,X∈ℒ,A(ℒ) is the algebra generated by ℒ and M(ℒ) is the set of nontrivial, finite, and finitely additive measures on A(ℒ), and MR(ℒ) is the set of elements of M(ℒ) which are ℒ-regular. …”
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THE MECHANISM OF DEALING WITH OVERDUE AND BAD DEBTS (NON-PERFORMING LOANS)IN A RETAIL LOAN PORTFOLIO OF RUSSIAN BANKS by V. Mazurin

“…An essence of the concepts "overdue" and "problem loan debt" (or a non-performing loan) are specified, the amount of these terms, borders of their application are denoted it the article. In particular positions of some leading financial institutions on the designated perspective are explained in this article. …”
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Maximum Reciprocal Degree Resistance Distance Index of Unicyclic Graphs by Gai-Xiang Cai, Xing-Xing Li, Gui-Dong Yu

“…The reciprocal degree resistance distance index of a connected graph G is defined as RDRG=∑u,v⊆VGdGu+dGv/rGu,v, where rGu,v is the resistance distance between vertices u and v in G. Let Un denote the set of unicyclic graphs with n vertices. …”
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The Structure of Isomorphic Digraph from Powers Modulo pe by Jinxing Zhao, Guixin Deng, Tiejun Liu

“…For positive integers n and k, let G(n,k) denote the digraph whose set of vertices is {0,1,2,…,n-1} and there is a directed edge from a to b if ak≡b  (mod n). …”
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The Multivariate Müntz-Szasz Problem in Weighted Banach Space on Rn by Xiangdong Yang

“…The purpose of this paper is to give an extension of Müntz-Szasz theorems to multivariable weighted Banach space. Denote by {λk=(λk1,λk2,...,λkn)}k=1∞ a sequence of real numbers in R+n. …”
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COMPETENCE (SELF)ASSESSMENT INTERACTIVE SYSTEM OF TOMSK POLYTECHNIC UNIVERSITY ACADEMIC STAFF by Alfred A. Dul’Zon, Oksana M. Vasil’Eva

“…Stages and methods of the work, and interface requirements are briefly considered, and the problems of the system functioning at TPU are denoted. The feasibility of applying the competency model and the (self)assessment system constructed on its base for the solution of the problems of the University academic staff professional development, and increasing its effectiveness and quality of activities is substantiated.…”
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