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We introduce a notion of integration defined from filters over families of finite sets. This procedure corresponds to determining the average value of functions whose range lies in any algebraic structure in which finite averages make…

Logic · Mathematics 2021-08-27 Emanuele Bottazzi , Monroe Eskew

An inclusion is said to be neutral to uniform fields if upon insertion into a homogenous medium with a uniform field it does not perturb the uniform field at all. It is said to be weakly neutral if it perturbs the uniform field mildly. Such…

Analysis of PDEs · Mathematics 2020-01-15 Yong-Gwan Ji , Hyeonbae Kang , Xiaofei Li , Shigeru Sakaguchi

In this paper, generalised intuitionistic fuzzy soft sets and relations on generalised intuitionistic fuzzy soft sets are defined and a few of their properties are studied. An application of generalised intuitionistic fuzzy soft sets in…

General Mathematics · Mathematics 2010-10-13 Bivas Dinda , Tuhin Bera , T. K. Samanta

Molodtsov \cite{molodtsov-1999} proposed the concept of soft set theory in 1999, which can be used as a mathematical tool for dealing with problems that contain uncertainty. Sabir and Naz \cite{shabir-2013} defined notion of bipolar soft…

General Mathematics · Mathematics 2016-01-21 Faruk Karaaslan , Serkan Karataş

This book studies ultrafilters on connectivity systems, that is, on pairs \((X,f)\) where \(X\) is a finite set and \(f:2^{X}\to \mathbb{N}\) is a symmetric submodular function. Ultrafilters, which play a fundamental role in topology and…

Combinatorics · Mathematics 2026-04-17 Takaaki Fujita

We theoretically and numerically study the design of optical 'lumped' nanofiltering devices in the framework of our recently proposed paradigm for optical nanocircuits. In particular, we present the design of basic filtering elements, such…

Materials Science · Physics 2009-11-13 Andrea Alu , Michael Young , Nader Engheta

In this work, we first define relations on the fuzzy parametrized soft sets and study their properties. We also give a decision making method based on these relations. In approximate reasoning, relations on the fuzzy parametrized soft sets…

Logic · Mathematics 2016-02-12 Irfan Deli , Naim Çağman

Topological photonic systems, with their ability to host states protected against disorder and perturbation, allow us to do with photons what topological insulators do with electrons. Topological photonics can refer to electronic systems…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Marie S. Rider , Samuel J. Palmer , Simon R. Pocock , Xiaofei Xiao , Paloma Arroyo Huidobro , Vincenzo Giannini

This paper introduces the use of pseudo-filters that optimize the detection/extraction of sources on a background. We assume as a first approach that such sources are described by a spherical (central) profile and that the background is…

Astrophysics · Physics 2009-11-06 J. L. Sanz , D. Herranz , E. Martinez-Gonzalez

Topology is a powerful framework for controlling and manipulating light, minimizing detrimental perturbations on the photonic properties. Combining nanophotonics with topological concepts presents opportunities for both fundamental physics…

Optics · Physics 2025-08-29 Grazia Salerno

All biological systems are subject to perturbations: due to thermal fluctuations, external environments, or mutations. Yet, while biological systems are composed of thousands of interacting components, recent high-throughput experiments…

Quantitative Methods · Quantitative Biology 2024-12-19 Christopher Joel Russo , Kabir Husain , Arvind Murugan

I review the basics of neutrino cosmology, from the question of neutrino decoupling and the presence of sterile neutrinos to the effects of neutrinos on the cosmic microwave background and large scale structure. Particular emphasis is put…

Astrophysics · Physics 2009-11-13 Steen Hannestad

We introduce an auxiliary technique, called residual nudging, to the particle filter to enhance its performance in cases that it performs poorly. The main idea of residual nudging is to monitor, and if necessary, adjust the residual norm of…

Atmospheric and Oceanic Physics · Physics 2013-06-03 Xiaodong Luo , Ibrahim Hoteit

Nuclear matter and finite nuclei exhibit the property of superfluidity by forming Cooper pairs. We review the microscopic theories and methods that are being employed to understand the basic properties of superfluid nuclear systems, with…

Nuclear Theory · Physics 2019-09-27 Armen Sedrakian , John W. Clark

This paper initiates the study of picture fuzzy topological spaces. In order to develop a mechanism to construct picture fuzzy topological spaces, we prove some basic results related to picture fuzzy sets together with the introduction of…

General Mathematics · Mathematics 2022-01-25 Abdul Razaq , Harish Garg , Umer Shuaib

A design methodology and synthesis equations are described for lumped-element filter prototypes having low-pass, high-pass, band-pass, or band-stop characteristics with theoretically perfect input- and output-match at all frequencies. Such…

Instrumentation and Methods for Astrophysics · Physics 2010-08-23 Matthew A. Morgan , Tod A. Boyd

In this paper we introduce the notion of interval valued hesitant fuzzy soft topological space. Also the concepts of interval valued hesitant fuzzy soft closure, interior and neighbourhood are introduced here and established some important…

General Mathematics · Mathematics 2017-06-06 Manash Jyoti Borah , Bipan Hazarika

Soft set theory can deal uncertainties in nature by parametrization process. In this paper, we explore the objects and morphisms of category of soft sets, Sset(U) in detail. Also, gives characterizations of monomorphisms and epimorphisms in…

Category Theory · Mathematics 2019-02-05 Ratheesh K. P. , Sunil Jacob John

Soft set theory and rough set theory are mathematical tools to deal with uncertainties. In [3], authors combined these concepts and introduced soft rough sets. In this paper, we introduce the concepts of soft rough graphs, vertex and edge…

General Mathematics · Mathematics 2017-07-20 R. Noor , I. Irshad , I. Javaid

We present some new results on union ultrafilters. We characterize stability for union ultrafilters and, as the main result, we construct a new kind of unordered union ultrafilter.

Logic · Mathematics 2011-02-16 Peter Krautzberger
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