Some Seminormed Difference Sequence Spaces over n-Normed Spaces Defined by a Musielak-Orlicz Function of Order (α,β) by S. A. Mohiuddine, Sunil K. Sharma, Dina A. Abuzaid

“…We also examine some topological properties and prove inclusion relations between the resulting sequence spaces.…”
Get full text

On Some Properties of New Paranormed Sequence Space of Nonabsolute Type by Vatan Karakaya, Necip Şimşek

“…Furthermore we investigate some topological properties as the completeness, the isomorphism, and also we give some inclusion relations between this sequence space and some of the other sequence spaces. …”
Get full text

Distribution of Maps with Transversal Homoclinic Orbits in a Continuous Map Space by Qiuju Xing, Yuming Shi

“…By the transversal homoclinic theorem, it is shown that the map space contains a dense set of maps that have transversal homoclinic orbits and are chaotic in the sense of both Li-Yorke and Devaney with positive topological entropy.…”
Get full text

New Trends in Robotics for Agriculture: Integration and Assessment of a Real Fleet of Robots by Luis Emmi, Mariano Gonzalez-de-Soto, Gonzalo Pajares, Pablo Gonzalez-de-Santos

“…This work also studies diverse topologies for controlling fleets of robots and advances other prospective topologies. …”
Get full text

A Methodology for Practical Design and Optimization of Class-E DC-DC Resonant Converters by Andrea Celentano, Fabio Pareschi, Victor R. Gozalez-Diaz, Riccardo Rovatti, Gianluca Setti

“…On the one hand, we propose alternative modeling for some devices (in particular the transformer), increasing both flexibility and generality, with the possibility to extend the application to more topologies and more working points. On the other hand, a new normalization is proposed, showing that the actual dimension of the design workspace is 2, and not 3 as assumed in the previous works. …”
Get full text

Multi-Head Spatiotemporal Attention Graph Convolutional Network for Traffic Prediction by Ariyo Oluwasanmi, Muhammad Umar Aftab, Zhiguang Qin, Muhammad Shahzad Sarfraz, Yang Yu, Hafiz Tayyab Rauf

“…However, traffic prediction remains a daunting task due to the non-Euclidean and complex distribution of road networks and the topological constraints of urbanized road networks. …”
Get full text

Inscribing closed non-σ-lower porous sets into Suslin non-σ-lower porous sets by Luděk Zajíček, Miroslav Zelený

“…The main aim of this paper is to prove that every non-σ-lower porous Suslin set in a topologically complete metric space contains a closed non-σ-lower porous subset. …”
Get full text

On boundary value problems for degenerate differential inclusions in Banach spaces by Valeri Obukhovskii, Pietro Zecca

“…We consider the applications of the theory of condensing set-valued maps, the theory of set-valued linear operators, and the topological degree theory of the existence of mild solutions for a class of degenerate differential inclusions in a reflexive Banach space. …”
Get full text

Some Applications of New Complex Function Space Constructed by Different Weights and Exponents by Awad A. Bakery, Elsayed A. E. Mohamed

“…We investigate the geometric and topological characteristics of mapping ideals created using s-numbers and this complex function space. …”
Get full text

Multiplicity of positive solutions to semilinear elliptic boundary value problems by Kenichiro Umezu

“…Our approach is based on super- and sub-solutions, and relies on the topological degree theory on the positive cones of ordered Banach spaces. …”
Get full text

A Note on Some Uniform Algebra Generated by Smooth Functions in the Plane by Raymond Mortini, Rudolf Rupp

“…We determine, via classroom proofs, the maximal ideal space, the Bass stable rank as well as the topological and dense stable rank of the uniform closure of all complex-valued functions continuously differentiable on neighborhoods of a compact planar set 𝐾 and holomorphic in the interior 𝐾∘ of 𝐾. …”
Get full text

Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications by De-ning Qu, Cao-zong Cheng

“…The aim of this paper is to study generalized vector quasi-equilibrium problems (GVQEPs) by scalarization method in locally convex topological vector spaces. A general nonlinear scalarization function for set-valued mappings is introduced, its main properties are established, and some results on the existence of solutions of the GVQEPs are shown by utilizing the introduced scalarization function. …”
Get full text

Inclusions of Hardy Orlicz spaces by Roshdi Khalil

“…In this paper, we prove that for ϕ≠ψ, if H(ϕ)=H(ψ) as sets, then H(ϕ)=H(ψ) as topological vector spaces. Some other results are given.…”
Get full text

Algebras with actions and automata by W. Kühnel, M. Pfender, J. Meseguer, I. Sols

“…In the present paper we want to give a common structure theory of left action, group operations, R-modules and automata of different types defined over various kinds of carrier objects: sets, graphs, presheaves, sheaves, topological spaces (in particular: compactly generated Hausdorff spaces). …”
Get full text

Perturbative Stability and Error-Correction Thresholds of Quantum Codes by Yaodong Li, Nicholas O’Dea, Vedika Khemani

“…Topologically ordered phases are stable to local perturbations, and topological quantum error-correcting codes enjoy thresholds to local errors. …”
Get full text

Control techniques of switched reluctance motors in electric vehicle applications: A review on torque ripple reduction strategies by Ameer L. Saleh, Fahad Al-Amyal, László Számel

“…In addition, the research also provided an overview of SRM fundamental operations, converter topologies, and excitation angle approaches. Last, a comparison between each method in torque control and current control strategies was listed, including the adopted method, features, and drawbacks.…”
Get full text

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.…”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text