LAUSR

Completion of pre-quasi-uniform spaces

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0 Published in 2017 at "Topology and its Applications"

DOI: 10.1016/j.topol.2017.02.025

Abstract: Abstract The purpose in this paper is to prove the existence of a canonical-pre-quasi-uniform extension ( X , U ) ˆ of a pre-quasi-uniform space ( X , U ) . Most of the concepts… read more here.

Keywords: completion pre; uniform spaces; quasi uniform; pre quasi ... See more keywords

Quasi-uniform structures determined by closure operators

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0 Published in 2021 at "Topology and its Applications"

DOI: 10.1016/j.topol.2021.107669

Abstract: Abstract We demonstrate a one-to-one correspondence between idempotent closure operators and the so-called saturated quasi-uniform structures on a category C . Not only this result allows to obtain a categorical counterpart P of the Csaszar-Pervin… read more here.

Keywords: closure operators; uniform structures; topology; closure ... See more keywords

Ekeland variational principle and its equivalents in T1-quasi-uniform spaces

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1 Published in 2022 at "Optimization"

DOI: 10.1080/02331934.2022.2052288

Abstract: The present paper is concerned with Ekeland Variational Principle (EkVP) and its equivalents (Caristi-Kirk fixed point theorem, Takahashi minimization principle, Oettli-Th\'era equilibrium version of EkVP) in quasi-uniform spaces. These extend some results proved by Hamel,… read more here.

Keywords: ekeland variational; gauge spaces; uniform spaces; quasi uniform ... See more keywords

Relieving nematic geometric frustration in the plane

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1 Published in 2023 at "Journal of Physics A: Mathematical and Theoretical"

DOI: 10.1088/1751-8121/acd890

Abstract: Frustration in nematic-ordered media (endowed with a director field) is treated in a purely geometric fashion in a flat, two-dimensional space. We recall the definition of quasi-uniform distortions and envision these as viable ways to… read more here.

Keywords: frustration; relieving nematic; nematic geometric; plane ... See more keywords

Breakdown of synthetic air under nanosecond pulsed voltages in quasi-uniform electric fields

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1 Published in 2022 at "IEEE Access"

DOI: 10.1109/access.2022.3175460

Abstract: The electrical breakdown of synthetic air under ultrashort high-voltage pulses (50 ns duration), as well as slowly increasing ("DC") voltages, is experimentally studied in a well-defined quasi-uniform electrode configuration (sphere–plane). The electrode spacing is varied… read more here.

Keywords: breakdown synthetic; nanosecond pulsed; quasi uniform; seed ... See more keywords

Thinned Array Inspired Quasi-Uniform Leaky-Wave Antenna With Low Side-Lobe Level

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1 Published in 2017 at "IEEE Antennas and Wireless Propagation Letters"

DOI: 10.1109/lawp.2017.2756990

Abstract: In this letter, a new quasi-uniform leaky-wave antenna is proposed. The structure of antenna is based on an air-filled rectangular waveguide in which the radiation occurs through transverse slots on the broad wall of the… read more here.

Keywords: leaky wave; quasi uniform; thinned array; wave antenna ... See more keywords

Quasi-Synchronization and Quasi-Uniform Synchronization of Caputo Fractional Variable-Parameter Neural Networks with Probabilistic Time-Varying Delays

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1 Published in 2022 at "Symmetry"

DOI: 10.3390/sym14051035

Abstract: Owing to the symmetry between drive–response systems, the discussions of synchronization performance are greatly significant while exploring the dynamics of neural network systems. This paper investigates the quasi-synchronization (QS) and quasi-uniform synchronization (QUS) issues between… read more here.

Keywords: time; synchronization quasi; quasi uniform; time varying ... See more keywords