Some New Lacunary Strong Convergent Vector-Valued Sequence Spaces by M. Mursaleen, A. Alotaibi, Sunil K. Sharma

“…We also make an effort to study some topological properties and some inclusion relations between these spaces.…”
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Boundary value problem for r2d2f/dr2+f=f3 (I): existence and uniqueness by Chie Bing Wang

“…The existence of the solution is proved using a topological shooting argument. And the uniqueness is proved by a variation method.…”
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p-systems in local Noether lattices by E. W. Johnson, Johnny A. Johnson, Monty B. Taylor

“…In this paper we introduce the concept of a p-system in a local Noether lattice and obtain several characterizations of these elements. We first obtain a topological characterization and then a characterization in terms of the existence of a certain type of decreasing sequence of elements. …”
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Theta Cone Metric Spaces and Some Fixed Point Theorems by Sahar Mohamed Ali Abou Bakr

“…This paper introduces the concept of the theta cone metric, studies its various topological properties, and gives some examples of it. …”
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Omega, Sadhana, Theta, and PI Polynomials of Double Benzonoid Chain by Fozia Bashir Farooq, Saima Parveen, Nadeem Ul Hassan Awan, Rakotondrajao Fanja

“…Counting polynomials are closely related to certain features of chemical graphs and provide an elegant means of expressing graph topological invariants. The current paper aims to calculate four polynomials for double benzenoid chains, Sadhana, omega, theta, and Padmakar–Ivan (PI). …”
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Terahertz Metamaterials Inspired by Quantum Phenomena by Ziheng Ren, Yuze Hu, Weibao He, Siyang Hu, Shun Wan, Zhongyi Yu, Wei Liu, Quanlong Yang, Yuri S. Kivshar, Tian Jiang

“…For on-chip THz waves, quantum physics-inspired topological metamaterials, as photonic analogs of topological insulators, can ensure robust, low-loss propagation with suppressed backscattering. …”
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Investigation of Randomly Populated Cylindrical, Spherical, and Cubical Arrays for Application in Space, Aerial, and Underwater Collaborative Beamforming by Kristopher R. Buchanan, Roanne Manzano-Roth, Annie Lin, Gabriella Loaiza, Meghan Sills, Jin Li, Sara R. Wheeland, Sounak Chakrabarti, Angelica R. Rodriguez, Gregory H. Huff, Mark Patefield, Anthony Jones

“…It investigates the use of a three-dimensional, randomly populated, and uniformly-distributed array in three configurations: spherical, cylindrical, and cubical. These topologies uniquely act like a practical bound to contain the elements in swarm-type applications. …”
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Diagnosing and Predicting the Earth’s Health via Ecological Network Analysis by Zi-Ke Zhang, Ye Sun, Chu-Xu Zhang, Kuan Fang, Xiang Xu, Chuang Liu, Xueqi Wang, Kui Zhang

“…Finally, we integrate the topological property and the proposed health index to identify the influential nodes in the observed ecological network. …”
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Misfit Strain in Superlattices Controlling the Electron-Lattice Interaction via Microstrain in Active Layers by Nicola Poccia, Alessandro Ricci, Antonio Bianconi

“…The multilayer architecture is the key feature for the presence of electronic topological transitions where the Fermi surface of one of the subbands changes dimensionality. …”
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Polarization Möbius strip at the tight focus of a generalized Poincaré beam by V.V. Kotlyar, A.A. Kovalev, A.M. Telegin

“…For superposition of a right-handed circularly polarized plane wave with a left-handed circularly polarized optical vortex with topological charge –1, we obtain expressions for the intensity distribution and the longitudinal component of the spin angular momentum vector at the tight focus. …”
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Deep-learning enabled generalized inverse design of multi-port radio-frequency and sub-terahertz passives and integrated circuits by Emir Ali Karahan, Zheng Liu, Aggraj Gupta, Zijian Shao, Jonathan Zhou, Uday Khankhoje, Kaushik Sengupta

“…Such bottom-up approaches with pre-selected regular topologies also fundamentally limit the design space. …”
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Dual Input Interleaved Three-Phase Rectifier In Discontinuous Conduction Mode For Application In Small Wind Turbines by Guilherme M. Todys, Luís P. Custódio, Alceu A. Badin, Amauri A. Assef, Roger Gules, Delvanei G. Bandeira Jr., Eduardo F. R. Romaneli, Daniel F. Cortez

“…The simulations compared the proposed three-phase rectifier with three other three-phase topologies, demonstrating its operation with significantly reduced current stresses and smaller input inductors. …”
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Some Spaces of Double Sequences Obtained through Invariant Mean and Related Concepts by S. A. Mohiuddine, Abdullah Alotaibi

“…We determine here some inclusion relations and topological results for these new double sequence spaces.…”
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Nontrivial Periodic Solutions for Nonlinear Second-Order Difference Equations by Tieshan He, Yimin Lu, Youfa Lei, Fengjian Yang

“…Under some conditions concerning the first positive eigenvalue of the linear equation corresponding to the nonlinear second-order equation, we establish the existence results by using the topological degree and fixed point index theories.…”
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The Spectrum of Mapping Ideals of Type Variable Exponent Function Space of Complex Variables with Some Applications by Awad A. Bakery, Mustafa M. Mohammed

“…The topological and geometric behaviors of the variable exponent formal power series space, as well as the prequasi-ideal construction by s-numbers and this function space of complex variables, are investigated in this article. …”
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Some Paranormed Double Difference Sequence Spaces for Orlicz Functions and Bounded-Regular Matrices by S. A. Mohiuddine, Kuldip Raj, Abdullah Alotaibi

“…We also make an effort to study some topological properties and inclusion relations between these double difference sequence spaces.…”
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Weakly closed multifunctions and paracompactness by Cao Ji-Ling

“…The purpose of the present paper is to investigate weakly closed multifunctions between topological spaces. We discuss basic properties of weakly closed multifunctions and some results of Rose and Janković are extended. …”
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L-Fuzzy Prime Spectrums of ADLs by Natnael Teshale Amare, Srikanya Gonnabhaktula, Ch. Santhi Sundar Raj

“…In this paper, the set of all L-fuzzy prime ideals of an ADL with truth values in a complete lattice L satisfying the infinite meet distributive law is topologized and the resulting space is discussed.…”
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Not Your Usual Analog Electronics Course—Generalized Analysis of Single-Transistor Amplifiers Uncovers Hidden Reciprocities and Equivalences by Brian Hong

“…We present a compendium of generalized expressions for the low-frequency voltage gain and terminal impedances of each of the three fundamental bipolar-amplifier topologies (i.e., common emitter, common base, and common collector). …”
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Absence of gapless Majorana edge modes in few-leg bosonic flux ladders by F. A. Palm, C. Repellin, N. Goldman, F. Grusdt

“…The search for Majorana excitations has seen tremendous efforts in recent years, ultimately aiming for their individual controllability in future topological quantum computers. A promising framework to realize such exotic Majorana fermions are topologically ordered non-Abelian phases of matter, such as certain fractional quantum Hall states. …”
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