Finite and Infinite Arithmetic Progressions Related to Beta-Expansion by Bing Li, Chao Ma

“…Their sizes are investigated from the topological, metric, and dimensional viewpoints.…”
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Existence Solutions of Vector Equilibrium Problems and Fixed Point of Multivalued Mappings by Kanokwan Sitthithakerngkiet, Somyot Plubtieng

“…Let K be a nonempty compact convex subset of a topological vector space. In this paper-sufficient conditions are given for the existence of x∈K such that F(T)∩VEP(F)≠∅, where F(T) is the set of all fixed points of the multivalued mapping T and VEP(F) is the set of all solutions for vector equilibrium problem of the vector-valued mapping F. …”
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A Unif: A common supercategory of pMET and Unif by R. Lowen, B. Windels

“…In order to have a topological category that contains both pMET and Unif in a nice way (and therefore combines quantitative and uniform concepts), approach uniformities are introduced. …”
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A Note on Quotient Reflective Subcategories of O-REL by Muhammad Qasim, Ch. Muhammad Afaq Aslam

“…We show that it is a normalized and geometric topological category and give the characterization of local T¯0, local T0′, and local T1 ordered-RELspaces. …”
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Nonseparated manifolds and completely unstable flows by Sudhir K. Goel

“…Here, a nonseparated manifold denotes any topological space that is locally Euclidean and has a countable basis; the usual Hausdorff separation property is not required. …”
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Some Local Properties of Soft Semi-Open Sets by Bin Chen

“…Furthermore, we define soft semi-connectedness and prove that a soft topological space is soft semiconnected if and only if both soft semi-open and soft semi-closed sets are only ∅ and X~.…”
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On the Domain of the Triangle on the Spaces of Null, Convergent, and Bounded Sequences by Naim L. Braha, Feyzi Başar

“…We introduce the spaces of -null, -convergent, and -bounded sequences. We examine some topological properties of the spaces and give some inclusion relations concerning these sequence spaces. …”
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Multiplicative polynomials and Fermat's little theorem for non-primes by Paul Milnes, C. Stanley-Albarda

“…Also presented are characterizations of the gn's and an indication of the ideas from topological dynamics and algebra that brought these matters to our attention.…”
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Nonpivot and Implicit Projected Dynamical Systems on Hilbert Spaces by Monica Gabriela Cojocaru, Stephane Pia

“…These are Hilbert spaces in which the topological dual space is not identified with the base space. …”
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Observation of magnetic skyrmion lattice in Cr0.82Mn0.18Ge by small-angle neutron scattering by Victor Ukleev, Tapas Samanta, Oleg I. Utesov, Jonathan S. White, Luana Caron

“…Abstract Incommensurate magnetic phases in chiral cubic crystals are an established source of topological spin textures such as skyrmion and hedgehog lattices, with potential applications in spintronics and information storage. …”
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A chaotic bursting-spiking transition in a pancreatic beta-cells system: observation of an interior glucose-induced crisis by Jorge Duarte, Cristina Januário, Nuno Martins

“…The analysis of the chaotic interior crisis is complemented by means of topological invariants with the computation of the topological entropy and the maximum Lyapunov exponent. …”
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Distinguishing Majorana bound states from Andreev bound states through differential conductance and current noise spectrum by Huajin Zhao, Junrong Wang, Hong Mao, Jinshuang Jin

“…By elaborating the differential conductance and current noise spectrum, we focus on the distinct characteristics of the topological Majorana bound states (MBSs) and trivial Andereev bound states (ABSs) hosted in SC wire. …”
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Intelligence Based Controlling Models for Effective Power Tracking and Voltage Enhancement in Grid-PV Systems by I. E. S. Naidu, T. Padmavathi, S. Venkata Padmavathi, Budidi U. Kumar

“…The underlying research work is focused on enhancement in the efficiency and voltage gain for solar PV systems with the help of designing a novel regulating framework that includes advanced converter topologies integrated with intelligent control techniques. …”
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The Quantum Description of BF Model in Superspace by Manoj Kumar Dwivedi

“…We consider the BRST symmetric four-dimensional BF theory, a topological theory, containing antisymmetric tensor fields in Landau gauge and extend the BRST symmetry by introducing a shift symmetry to it. …”
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Weak continuity and almost continuity by D. A. Rose

“…Two relationships considered by Weston [1] for a pair of topologies on a set X are translated to a function setting. …”
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A Maximal Element Theorem in FWC-Spaces and Its Applications by Haishu Lu, Qingwen Hu, Yulin Miao

“…A maximal element theorem is proved in finite weakly convex spaces (FWC-spaces, in short) which have no linear, convex, and topological structure. Using the maximal element theorem, we develop new existence theorems of solutions to variational relation problem, generalized equilibrium problem, equilibrium problem with lower and upper bounds, and minimax problem in FWC-spaces. …”
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Bifurcation from Interval and Positive Solutions of a Nonlinear Second-Order Dynamic Boundary Value Problem on Time Scales by Hua Luo

“…Our approaches are based on topological degree theory and global bifurcation techniques.…”
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Analysis of a New Quadratic 3D Chaotic Attractor by Shahed Vahedi, Mohd Salmi Md Noorani

“…Basic properties of this system show that its corresponding attractor is topologically different from some well-known systems. …”
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On Copson Ideal Convergent Sequence Spaces by Mohammad Idrisi, Nazneen Khan, Kavita Saini, Mobeen Ahmad, ‌ Yasmeen, Manal Labadi

“…Also, I will define some algebraic, topological properties and inclusion relations in these spaces.…”
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Optimizing Road Networks for Automated Vehicles with Dedicated Links, Dedicated Lanes, and Mixed-Traffic Subnetworks by Bahman Madadi, Rob Van Nes, Maaike Snelder, Bart Van Arem

“…We model the problem as a bilevel network design problem where the upper level represents road infrastructure adjustment decisions to deploy these concepts and the lower level includes a network equilibrium model representing the flows as a result of the travelers’ response to new network topologies. An efficient heuristic solution method is introduced to solve the formulated problem and find coherent network topologies. …”
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