Induced measures on Wallman spaces by El-Bachir Yallaoui

“…To each lattice-regular measure μ, we associate two induced measures μˆ and μ˜ on suitable lattices of the Wallman space IR(ℒ) and another measure μ′ on the space IRσ(ℒ). …”
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Survival Copula Entropy and Dependence in Bivariate Distributions by S.M. Sunoj, N. Unnikrishnan Nair

“…We examine the relationships between the various measures. …”
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Self-Commutators of Composition Operators with Monomial Symbols on the Dirichlet Space by A. Abdollahi, S. Mehrangiz

“…We also find the eigenfunctions of the operators.…”
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Consensus Filtering Algorithm with Incomplete Measurements by Yungang Wu, Zhenmin Tang

“…In order to improve the estimate performance of distributed sensor networks, we introduce an improved consensus-based distributed filtering algorithm. …”
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Estimates of Lp Modulus of Continuity of Generalized Bounded Variation Classes by Heping Wang, Zhaoyang Wu

“…As direct applications, we obtain estimates of order of Fourier coefficients of functions of Λφ-bounded variation, and we also characterize some sufficient and necessary conditions for the embedding relations Hpω⊂ΛφBV. …”
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Positive Solutions for a Class of Fourth-Order p-Laplacian Boundary Value Problem Involving Integral Conditions by Yan Sun

“…Under some conditions concerning the first eigenvalues corresponding to the relevant linear operator, we obtain sharp optimal criteria for the existence of positive solutions for p-Laplacian problems with integral boundary conditions. …”
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Some Properties of (𝑟,𝑠)-𝑇0 and (𝑟,𝑠)-𝑇1 Spaces by S. E. Abbas, Biljana Krsteska

“…Moreover, we study properties of subspaces and their products.…”
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Uniform Statistical Convergence on Time Scales by Yavuz Altin, Hikmet Koyunbakan, Emrah Yilmaz

“…However, we will define m-uniform Cauchy function on a time scale. …”
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Opening the gifts and treasures of relationship in residential child care by Carey Morning

“…Our work is a journey to help wounded children encounter, believe in, and develop what is the very best in them. We are asked to bring children the very best we have, our treasure, so that they can look at our gifts as in a mirror, and see that they are a precious gift to the world.…”

A proper subclass of Maclane's class 𝒜 by May Hamdan

“…We also show that the class ℛ is a proper subclass of 𝒜 by constructing a function f∈𝒜 that admits no asymptotic paths of finite length.…”
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Hölder’s inequality for shifted quantum integral operator by Andrea Aglić Aljinović, Lana Horvat Dmitrović, Ana Žgaljić Keko

“…We show by two counterexamples that Hölder’s inequality for shifted quantum integral operator does not hold in general and we prove the case in which it is valid.…”
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Geometric Assortative Growth Model for Small-World Networks by Yilun Shang

“…It has been shown that both humanly constructed and natural networks are often characterized by small-world phenomenon and assortative mixing. In this paper, we propose a geometrically growing model for small-world networks. …”
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Well-Posedness of the Cauchy Problem for Hyperbolic Equations with Non-Lipschitz Coefficients by Akbar B. Aliev, Gulnara D. Shukurova

“…We consider hyperbolic equations with anisotropic elliptic part and some non-Lipschitz coefficients. …”
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Derived categories and the analytic approach to general reciprocity laws. Part I by Michael Berg

“…We reformulate Hecke's open problem of 1923, regarding the Fourier-analytic proof of higher reciprocity laws, as a theorem about morphisms involving stratified topological spaces. …”
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Probabilities as Values of Modular Forms and Continued Fractions by Riad Masri, Ken Ono

“…We consider certain probability problems which are naturally related to integer partitions. …”
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Invertibility-preserving maps of C∗-algebras with real rank zero by Istvan Kovacs

“…We also generalize a theorem of Russo.…”
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Generalization Contractive Mappings on Rectangular b-Metric Space by Jayshree Patil, Basel Hardan, Ahmed A. Hamoud, Amol Bachhav, Homan Emadifar, Hatira Günerhan

“…We applied our results to establish the existence of a solution for some integralitions. …”
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On Harmonic Functions Defined by Differential Operator with Respect to k-Symmetric Points by Afaf A. Ali Abubaker, Maslina Darus

“…We introduce new classes MHkσ,s(λ,δ,α) and M¯Hkσ,s(λ,δ,α) of harmonic univalent functions with respect to k-symmetric points defined by differential operator. …”
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Mild Solutions of Neutral Semilinear Stochastic Functional Dynamic Systems with Local Non-Lipschitz Coefficients by Feng Jiang

“…We especially generalize and improve the results that appeared in Govinadan (2005), Bao and Hou (2010), and Jiang and Shen (2011).…”
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and Models: A Self-Similar Approach by José Antonio Belinchón

“…We study the models and their particular case, the so-called -models under the self-similarity hypothesis. …”
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