Map Ideal of Type the Domain of r-Cesàro Matrix in the Variable Exponent ℓt. and Its Eigenvalue Distributions by Awad A. Bakery, OM Kalthum S. K. Mohamed

“…Some geometric and topological properties of this sequence space, the multiplication maps defined on it, and the eigenvalue distributions of map ideal with s-numbers that belong to this sequence space have been examined.…”
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Nonsmooth analysis and optimization on partially ordered vector spaces by Thomas W. Reiland

“…Interval-Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz-type operators. …”
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A NEW GENERALIZATION OF GEORGE & VEERAMANI-TYPE FUZZY METRIC SPACE by A. Das, D. Barman, T. Bag

“…Concepts of convergent sequence, Cauchy sequence, completeness etc. are given, and we study some properties in such spaces. Finally, some topological results are established.…”
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Spontaneous Small Biskyrmions in a Centrosymmetric Rare-Earth Kagome Ferrimagnet by Shulan Zuo, Kaiming Qiao, Zhan Wang, Ying Zhang, Chengbao Jiang, Baogen Shen

“…Abstract Magnetic skyrmions with nontrivial topologies have great potential to serve as memory cells in novel spintronic devices. …”
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PMMA Sandwiched Bi2Te3 Layer as a Saturable Absorber in Mode-Locked Fiber Laser by Guobao Jiang, Yuan Zhou, Lulu Wang, Ying Chen

“…Nanosheets of Bi2Te3 as a bulk topological insulator were successfully synthesized through a solvothermal treatment and self-assemble method to form a thin film at a water-air interface. …”
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Complex Brain Network Analysis and Its Applications to Brain Disorders: A Survey by Jin Liu, Min Li, Yi Pan, Wei Lan, Ruiqing Zheng, Fang-Xiang Wu, Jianxin Wang

“…In recent years, researchers have found that brain networks constructed by using neuroimaging data and electrophysiological data have many important topological properties, such as small-world property, modularity, and rich club. …”
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Rashba spin-splitting driven inverse spin Hall effect in MnBi2Te4 by Wen-Ti Guo, Zhigao Huang, Jian-Min Zhang

“…We identify robust topological properties independent of Rashba and Lifshitz spin-splitting types. …”
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Evolutionary Game Theory-Based Evaluation of P2P File-Sharing Systems in Heterogeneous Environments by Yusuke Matsuda, Masahiro Sasabe, Tetsuya Takine

“…Further, through simulation experiments with agent-based dynamics, we reveal how other aspects, for example, synchronization among nodes and topological structure, affect the system performance. …”
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Minimum Variable Connectivity Index of Trees of a Fixed Order by Shamaila Yousaf, Akhlaq Ahmad Bhatti, Akbar Ali

“…The connectivity index, introduced by the chemist Milan Randić in 1975, is one of the topological indices with many applications. In the first quarter of 1990s, Randić proposed the variable connectivity index by extending the definition of the connectivity index. …”
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Recovering manifold representations via unsupervised meta-learning by Yunye Gong, Jiachen Yao, Ruyi Lian, Xiao Lin, Chao Chen, Ajay Divakaran, Yi Yao

“…In comparison to state-of-the-art baselines, our proposed approach demonstrates improved manifold reconstruction better matching the data manifold by preserving prominent topological features and relative proximity of samples.…”
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Abelian instantons and monopole scattering by Csaba Csáki, Rotem Ovadia, Ofri Telem, John Terning, Shimon Yankielowicz

“…This theory, whose non-topological sectors were studied by Rubakov and Callan, has a far richer structure than previously explored. …”
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Impacts of COVID-19 on the Return and Volatility Nexus among Cryptocurrency Market by Xin Sui, Guifen Shi, Guanchong Hou, Shaohan Huang, Yanshuang Li

“…Moreover, from network analysis, we further found that the COVID-19 crisis has significantly changed the topological structure of the cryptocurrency market. …”
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Robust Maximum Lifetime Routing and Energy Allocation in Wireless Sensor Networks by Ioannis Ch. Paschalidis, Ruomin Wu

“…In setting (b) the same result holds for all topologies. We develop a series of robust problem formulations, ranging from pessimistic to optimistic. …”
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Crystalline-symmetry-protected Majorana modes in coupled quantum dots by Bradraj Pandey, Gonzalo Alvarez, Elbio Dagotto, Rui-Xing Zhang

“…Our architecture paves the way for designing, constructing, and exploring a wide variety of artificial topological crystalline phases in quantum-dot experiments.…”
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Automated synthesis of technological fixture constructions by D P. Kunkevich, I. I. Polozkov, A. A. Baryshev

“…Article is dedicated to automation of topological design. However, the creation and adoption of design decisions is a difficult creative task. …”
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Advanced control strategies for microgrids: A review of droop control and virtual impedance techniques by K.N. Yogithanjali Saimadhuri, M. Janaki

“…However, a thorough examination of the hierarchical control methods for various microgrid topologies is rarely addressed. Specifically, the interplay between control methodologies namely centralized, decentralized, and distributed across AC, DC, and hybrid microgrids has not been thoroughly explored. …”
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Lattice normality and outer measures by Panagiotis D. Stratigos

“…A lattice space is a generalization of a topological space. The concept of lattice normality plays an important role in the study of lattice spaces.…”
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Soft α-Open Sets and Soft α-Continuous Functions by Metin Akdag, Alkan Ozkan

“…We introduce soft α-sets on soft topological spaces and study some of their properties. …”
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Somewhat Slightly Generalized Double Fuzzy Semicontinuous Functions by Fatimah M. Mohammed, M. S. M. Noorani, A. Ghareeb

“…The aim of this paper is to introduce the concepts of somewhat slightly generalized double fuzzy semicontinuous functions and somewhat slightly generalized double fuzzy semiopen functions in double fuzzy topological spaces. Some interesting properties and characterizations of these functions are introduced and discussed. …”
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New Contributions in Generalization S-Metric Spaces to S∗p-Partial Metric Spaces with Some Results in Common Fixed Point Theorems by Asma Al Rwaily, A. M. Zidan

“…Also, we give some of the topological properties that are important in knowing the convergence of the sequences and Cauchy sequence. …”
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