On optimality conditions and duality for multiobjective fractional optimization problem with vanishing constraints by Haijun Wang, Gege Kang, Ruifang Zhang

“…In particular, necessary and sufficient conditions for (weak) Pareto solution are presented in terms of the Clark subdifferential. Furthermore, we construct Wolfe and Mond–Weir-type dual models and derive some duality theorems by using generalized quasiconvexity assumptions. …”
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Stability Analysis for Uncertain Neural Networks of Neutral Type with Time-Varying Delay in the Leakage Term and Distributed Delay by Qi Zhou, Xueying Shao, Jin Zhu, Hamid Reza Karimi

“…New stability results are achieved by constructing an appropriate Lyapunov-Krasovskii functional and employing the free weighting matrices and the linear matrix inequality (LMI) method. …”
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Policy and Impact Analysis of Smelter Development in Morowali Sulawesi: A Multidisciplinary Review of Social, Economic and Environmental Aspects by Galih Wahyu PRADANA, Sekar Ayu KUNCARAVITA, Aldea Noor ALINA

“…This article provides an in-depth analysis of the impact of constructing the Morowali Industrial Park smelter in Indonesia. …”
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Representações dos corpos masculinos na revista Men's Health by Josimar Faria Duarte

“…Therefore, our goal was to detect, define and analyze a form of masculinity constructed by the print media. For this, a survey was conducted in 12 editions of the magazine Brazilian Men's Health, published between 2011 and 2012. …”
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Trichotomy for Dynamical Systems in Banach Spaces by Codruţa Stoica

“…We construct a framework for the study of dynamical systems that describe phenomena from physics and engineering in infinite dimensions and whose state evolution is set out by skew-evolution semiflows. …”
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Further Result on Passivity for Discrete-Time Stochastic T-S Fuzzy Systems with Time-Varying Delays by Ting Lei, Qiankun Song, Zhenjiang Zhao

“…The passivity for discrete-time stochastic T-S fuzzy systems with time-varying delays is investigated. By constructing appropriate Lyapunov-Krasovskii functionals and employing stochastic analysis method and matrix inequality technique, a delay-dependent criterion to ensure the passivity for the considered T-S fuzzy systems is established in terms of linear matrix inequalities (LMIs) that can be easily checked by using the standard numerical software. …”
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Topological degree and application to a parabolic variational inequality problem by A. Addou, B. Mermri

“…We are interested in constructing a topological degree for operators of the form F=L+A+S, where L is a linear densely defined maximal monotone map, A is a bounded maximal monotone operators, and S is a bounded demicontinuous map of class (S+) with respect to the domain of L. …”
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Second-Order Moment Convergence Rates for Spectral Statistics of Random Matrices by Junshan Xie

“…Following the ideas of Gut and Spătaru (2000) and Liu and Lin (2006) on the precise asymptotics of i.i.d. random variables in the context of the complete convergence and the second-order moment convergence, respectively, we will establish the precise second-order moment convergence rates of a type of series constructed by the spectral statistics of Wigner matrices or sample covariance matrices.…”
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A Proximal Point Method Involving Two Resolvent Operators by Oganeditse A. Boikanyo

“…We construct a sequence of proximal iterates that converges strongly (under minimal assumptions) to a common zero of two maximal monotone operators in a Hilbert space. …”
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Formal Proof of a Machine Closed Theorem in Coq by Hai Wan, Anping He, Zhiyang You, Xibin Zhao

“…A useful proof pattern of constructing a trace with desired properties is devised. …”
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Boundary control problem with an infinite number of variables by Hussain A. El-Saify

“…The inequalities which characterize the optimal control in terms of the adjoint system are obtained, it is studied in order to construct algorithms attainable to numerical computations for the approximation of the control.…”
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Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition by Yong Cao, Yuchuan Chu, Xiaoming He, Mingzhen Wei

“…The physical interface conditions are directly utilized to construct the boundary conditions on the interface and then decouple the Navier-Stokes and Darcy equations. …”
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The Kirchhoff Index of Some Combinatorial Networks by Jia-Bao Liu, Xiang-Feng Pan, Jinde Cao, Fu-Tao Hu

“…The hypercube Qn and the folded hypercube FQn are well known networks due to their perfect properties. The graph G∗, constructed from G, is the line graph of the subdivision graph S(G). …”
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Approximate Solutions for Nash Differential Games by A. A. Megahed, A. A. Hemeda, H. F. A. Madkour

“…Picard method is used to find an approximate solution, and the uniform convergence is proved. Finally, we constructed figures for the analysis of the differential game. …”
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Investigation of the isothermal section at 1000°C in the Pt-Al-Cr system by Süss R., Cornish L.A., Witcomb M.J.

“…Isothermal sections were constructed.…”
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La structure d’Everyman by Colette Stévanovitch

“…Contrary to that opinion, the author holds that repetition is a key element in the structure of a play constructed as a series of embedded frames.…”
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Discrete Wilson Lines in F-Theory by Volker Braun

“…F-theory models are constructed where the 7 -brane has a nontrivial fundamental group. …”
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Combinatorics in N = 1 Heterotic Vacua by Seung-Joo Lee

“…The Calabi-Yau threefolds are algebraically realised as hypersurfaces in toric varieties, and a large class of vector bundles are constructed thereon as monads. In the spirit of searching for standard-like heterotic vacua, emphasis is placed on the integer combinatorics of the model-building programme.…”
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Updating Stiffness and Hysteretic Damping Matrices Using Measured Modal Data by Jiashang Jiang, Yongxin Yuan

“…With this method, the optimally approximated stiffness and hysteretic damping matrices can be easily constructed. The physical connectivity of the original model is preserved and the measured modal data are embedded in the updated model. …”
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Fischer-Clifford Matrices and Character Table of the Maximal Subgroup (29:(L3(4)):2 of U6(2):2 by Abraham Love Prins, Ramotjaki Lucky Monaledi

“…In this paper, Fischer-Clifford theory is applied to the split extension group G¯ to construct its character table. Also, class fusion from G¯ into the parent group U6(2):2 is determined.…”
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