Hyperspherical Manifold for EEG Signals of Epileptic Seizures by Tahir Ahmad, Vinod Ramachandran

“…The subset of seizure signals on the manifold is shown to be a topological space, verifying Ahmad's approach to use topological modelling.…”
Get full text

Optimization of HIV drugs through MCDM technique Analytic Hierarchy Process(AHP). by Fozia Bashir Farooq, Sobia Sultana, Nouf Abdulrahman Alqahtani, Muhammad Imran

“…Topological indices are crucial tools for predicting the physicochemical and biological features of different drugs. …”
Get full text

Kinematics Analysis and Multi-objective Scale Synthesis of a New Three Translation Parallel Mechanism by Jianyuan Liu, Jianlin He, Zhixiong Jian, Junguo Gao

“…A simple and symmetrical parallel mechanism with three translations is designed according to the theory and method of topological design of parallel mechanism based on Position and Orientation Characteristic （POC） equation. …”
Get full text

Light-driven dancing of nematic colloids in fractional skyrmions and bimerons by Zhawure Asilehan, Wentao Tang, Jing Zhang, Zijun Chen, Ruijie Wang, Qingtian Shi, Ganlin Song, Jinghua Jiang, Rui Zhang, Chenhui Peng

“…Here, we use experiments, simulations and theory to demonstrate that fractional skyrmion and bimeron strings can be created in a nematic liquid crystal (LC) through incompatible interfaced topological patterns. Moreover, distinct topological profiles are realized in the same skyrmion string loop. …”
Get full text

Fundamental groups of proper varieties are finitely presented by Lara, Marcin, Srinivas, Vasudevan, Stix, Jakob

“…It was proven in [1], that the étale fundamental group of a connected smooth projective variety over an algebraically closed field $k$ is topologically finitely presented. In this note, we extend this result to all connected proper schemes over $k$.…”
Get full text

Classes of I-Convergent Double Sequences over n-Normed Spaces by Nazneen Khan

“…Study of their algebraic and topological properties and some inclusion relations has also been done.…”
Get full text

Continuity in Partially Ordered Sets by Venu G. Menon

“…We show that several of the pleasing algebraic and topological properties of domains carry over to this setting.…”
Get full text

Transforming 5G Mega-Constellation Communications: A Self-Organized Network Architecture Perspective by Marius Corici, Marius Caus, Xavier Artiga, Alessandro Guidotti, Benjamin Barth, Tomaso de Cola, Justin Tallon, Hemant Zope, Daniele Tarchi, Fanny Parzysz, David Naseh, Swapnil Sadashiv Shinde

“…This architecture is designed to align seamlessly with 5G service requirements, while also accommodating the unique topological and infrastructural constraints of mega-constellations. …”
Get full text

Multi-channel spatio-temporal graph attention contrastive network for brain disease diagnosis by Chaojun Li, Kai Ma, Shengrong Li, Xiangshui Meng, Ran Wang, Daoqiang Zhang, Qi Zhu

“…Second, we develop a multi-channel spatial attention contrastive network to extract topological features from the brain network within each time window. …”
Get full text

Multimodal fusion model for diagnosing mild cognitive impairment in unilateral middle cerebral artery steno-occlusive disease by Ziyi Yuan, Zhaodi Huang, Chaojun Li, Shengrong Li, Qingguo Ren, Xiaona Xia, Qingjun Jiang, Daoqiang Zhang, Qi Zhu, Xiangshui Meng, Xiangshui Meng

“…The four-modal analysis method proposed in this study was applied to identify brain regions and connections associated with MCI, thus confirming its validity.ResultsBased on the fusion of the topological features of the multimodal FBN and SBN, the accuracy for the diagnosis of MCI in patients with unilateral MCA steno-occlusive disease reached 90.00%. …”
Get full text

A Class of Sequences Defined by Weak Ideal Convergence and Musielak-Orlicz Function by Awad A. Bakery

“…We also study some topological properties and inclusion relation between these spaces.…”
Get full text

On convergence of the accumulated insurance claim processes to the compound Poisson process by Rimas Banys

“…Conditions for convergence to the compound Poisson process in the function space D[0,∞) endowed with the Skorohod M1 and J1 topologies are obtained. …”
Get full text

Positive Solutions Using Bifurcation Techniques for Boundary Value Problems of Fractional Differential Equations by Yansheng Liu

“…The main tools used here are bifurcation techniques and topological degree theory. Finally, an example is worked out to demonstrate the main result.…”
Get full text

Gelfand theorem implies Stone representation theorem of Boolean rings by Parfeny P. Saworotnow

“…Stone Theorem about representing a Boolean algebra in terms of open-closed subsets of a topological space is a consequence of the Gelfand Theorem about representing a B∗- algebra as the algebra of continuous functions on a compact Hausdorff space.…”
Get full text

Kinematic Analysis and Optimization Design of 2-CPR/UPU Three Translation Parallel Mechanism by Li Lihong, Zhang Fahai, Zhu Lei

“…In view of the real-time control problem caused by the strong coupling of input/output of the parallel mechanism, a three translation parallel mechanism with zero coupling degree is proposed according to the topological design theory and method of parallel mechanism of orientation feature position and orientation characteristic(POC) equation. …”
Get full text

High-order harmonic generation driven by perfect optical vortex beams: Exploring the orbital angular momentum upscaling law by Bikash Kumar Das, C. Granados, M. Krüger, Marcelo F. Ciappina

“…We show that a POV beam is more advantageous than that of the Laguerre-Gaussian beam for cases where a large topological charge with a small core size is required. …”
Get full text

Nonlocal Quantum Effects in Cosmology by Yurii V. Dumin

“…This gives us a hint on resolving a long-standing problem of the excessive concentration of topological defects, inconsistent with observational constraints. …”
Get full text

Analysis of Bismuth (III) Iodide and Dendrimers in Drug Applications by Shahid Amin, M. A. Rehman, Amir Naseem, Jihad Younis, Syed Sheraz Asghar

“…In this work, we will calculate a new topological index, namely, Sombor index, multiplicative Sombor index, and its reduced version for bismuth (III) iodide and dendrimers. …”
Get full text

Azimuthal Anisotropy in High-Energy Nuclear Collision: An Approach Based on Complex Network Analysis by Susmita Bhaduri, Dipak Ghosh

“…In this work, we have attempted to find deterministic information on the anisotropy in azimuthal distribution by means of precise determination of topological parameter from a complex network perspective.…”
Get full text

Ultrawideband LNA 1960–2019: Review by Shahab Shahrabadi

“…This article specifically studies the challenges and solutions of designing UWB LNA by reviewing topologies and techniques such as inductive peaking, noise and distortion cancellation, gm‐boosting, active inductor and notch filter. …”
Get full text