Nonlinear variational inequalities on reflexive Banach spaces and topological vector spaces by Zeqing Liu, Jeong Sheok Ume, Shin Min Kang

“…The purpose of this paper is to introduce and study a class of nonlinear variational inequalities in reflexive Banach spaces and topological vector spaces. Based on the KKM technique, the solvability of this kind of nonlinear variational inequalities is presented. …”
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Compactness on Soft Topological Ordered Spaces and Its Application on the Information System by T. M. Al-shami

“…It is well known every soft topological space induced from soft information system is soft compact. …”
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A Three-Phase Reduced Switch Count Multilevel Inverter Topology by S. Sivamani, V. Mohan

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Some New Algebraic and Topological Properties of the Minkowski Inverse in the Minkowski Space by Hanifa Zekraoui, Zeyad Al-Zhour, Cenap Özel

“…We introduce some new algebraic and topological properties of the Minkowski inverse A⊕ of an arbitrary matrix A∈Mm,n (including singular and rectangular) in a Minkowski space μ. …”
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A New Multilevel Inverter Topology for Grid-Connected Photovoltaic Systems by Muhammad Bilal Satti, Ammar Hasan, Mian Ilyas Ahmad

“…We compare the performance of the proposed topology with the topologies reported in literature. …”
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Gapless topological behaviors in a long-range quantum spin chain by Sheng Yang, Hai-Qing Lin, Xue-Jia Yu

“…Abstract Topology is a fascinating phenomena in condensed-matter physics typically associated with a bulk gap. …”
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Topological bound states in the continuum in a non-Hermitian photonic system by Luo Yihao, Sun Xiankai

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Anomalous Behavior of the Non-Hermitian Topological System with an Asymmetric Coupling Impurity by Junjie Wang, Fude Li, Weijun Cheng

“…We first study the spectrum of the system and find that asymmetric couplings lead to topological phase transitions. Meanwhile, a striking feature is that the coupling impurity can act as an effective boundary, and asymmetric couplings can also induce a flexibly adjusted zero mode. …”
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Multipliers on L(S), L(S)**, and LUC(S)* for a locally compact topological semigroup by Alireza Medghalchi

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Topological properties and matrix transformations of certain ordered generalized sequence spaces by Manjul Gupta, Kalika Kaushal

“…In this note, we carry out investigations related to the mixed impact of ordering and topological structure of a locally convex solid Riesz space (X,τ) and a scalar valued sequence space λ, on the vector valued sequence space λ(X) which is formed and topologized with the help of λ and X, and vice versa. …”
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A 22 yr Cycle of the Network Topology of Solar Active Regions by Eduardo Flández, Alejandro Zamorano, Víctor Muñoz

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Topological Properties of Degree-Based Invariants via M-Polynomial Approach by Samirah Alsulami, Sabir Hussain, Farkhanda Afzal, Mohammad Reza Farahani, Deeba Afzal

“…We also present the M-polynomial of silicate network and then closed formulas of topological indices are applied on the silicate network.…”
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Average Consensus in Networks of Neutral Dynamical Agents with Fixed and Switching Topologies by Yingying Wu, Yuangong Sun

“…This paper addresses the average consensus problem of neutral multiagent systems in undirected networks with fixed and switching topologies. For the case of fixed topology, necessary and sufficient conditions to average consensus are established by decoupling the neutral multiagent system in terms of the eigenvalues of the Laplacian matrix. …”
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A comparative study of symbolic aggregate approximation and topological data analysis by Fredrik Hobbelhagen, Ioannis Diamantis

Subjects: “…topological data analysis…”
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Several Types of Totally Continuous Functions in Double Fuzzy Topological Spaces by Fatimah M. Mohammed, M. S. M. Noorani, A. Ghareeb

“…We introduce the notions of totally continuous functions, totally semicontinuous functions, and semitotally continuous functions in double fuzzy topological spaces. Their characterizations and the relationship with other already known kinds of functions are introduced and discussed.…”
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Retracted: Topological Structures of Lower and Upper Rough Subsets in a Hyperring by Journal of Mathematics

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Discovery of new topological insulators and semimetals using deep generative models by Tao Hong, Taikang Chen, Dalong Jin, Yu Zhu, Heng Gao, Kun Zhao, Tongyi Zhang, Wei Ren, Guixin Cao

“…This method covers the entire process of new crystal structure generation, heuristic rule screening, fast stability estimation, and topology type diagnosis, resulting in 4 topological insulators and 16 topological semimetals. …”
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Topologies Generated by Two Ideals and the Corresponding j-Approximations Spaces with Applications by Mona Hosny

“…Ideal is a fundamental concept in topological spaces and plays an important role in the study of topological problems. …”
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Consensus of High-Order Nonlinear Multiagent Systems with Constrained Switching Topologies by Junwei Wang, Kairui Chen, Yun Zhang

“…To reflect communication constraints, the topology is assumed to switch within a finite set of digraphs characterised by an average dwell time switching signal. …”
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Two-colour QCD phases and the topology at low temperature and high density by Kei Iida, Etsuko Itou, Tong-Gyu Lee

“…Abstract We delineate equilibrium phase structure and topological charge distribution of dense two-colour QCD at low temperature by using a lattice simulation with two-flavour Wilson fermions that has a chemical potential μ and a diquark source j incorporated. …”
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