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We give a new characterization of partial groups as a subcategory of symmetric (simplicial) sets. This subcategory has an explicit reflection, which permits one to compute colimits in the category of partial groups. We also introduce the…

Group Theory · Mathematics 2025-03-10 Philip Hackney , Justin Lynd

The approach described here allows to use the fuzzy Object Based Representation of imprecise and uncertain knowledge. This representation has a great practical interest due to the possibility to realize reasoning on classification with a…

Artificial Intelligence · Computer Science 2012-06-13 Mohamed Nazih Omri

Very recently, the idea of studying structures equipped with two or more soft topologies has been considered by several researchers. Soft bitopological spaces were introduced and studied, in 2014, by Ittanagi as a soft counterpart of the…

General Topology · Mathematics 2019-06-04 Giorgio Nordo

A problem of incorporating the expert rules into machine learning models for extending the concept-based learning is formulated in the paper. It is proposed how to combine logical rules and neural networks predicting the concept…

Machine Learning · Computer Science 2024-02-23 Andrei V. Konstantinov , Lev V. Utkin

We analyze a mean-field model for mixtures involving biaxial nematogens and dipolar nanoparticles, taking into account orientational and isotropic pair interactions between nematogens, but also orientational nematogen-nanoparticle…

Soft Condensed Matter · Physics 2024-04-08 William G. C. Oropesa , Eduardo S. Nascimento , André P. Vieira

In this article we compute the number of fuzzy bitopological space with having two open sets, three open sets, four open sets and five open sets. Also, we have given some results on computation of number of fuzzy bitopological space.

General Topology · Mathematics 2019-12-10 Bhimraj Basumatary , Jili Basumatary , Nijwm Wary

We investigate the descriptional complexity of operations on semilinear sets. Roughly speaking, a semilinear set is the finite union of linear sets, which are built by constant and period vectors. The interesting parameters of a semilinear…

Formal Languages and Automata Theory · Computer Science 2017-08-23 Simon Beier , Markus Holzer , Martin Kutrib

Covering-based rough set theory is an extension to classical rough set. The main purpose of this paper is to study covering rough sets from a topological point of view. The relationship among upper approximations based on topological spaces…

Databases · Computer Science 2012-07-30 Nguyen Duc Thuan

The main purpose of this paper is to provide an effective procedure to study rigorously the relationship between unipolar and bipolar Euler-Poisson system in the perspective of mass. Based on the fact that the mass of an electron is far…

Analysis of PDEs · Mathematics 2020-10-06 Xi Shuai , Zhao Liang

We introduce the notion of a bicollapsible 2-complex. This allows us to generalize the hyperbolicity of one-relator groups with torsion to a broader class of groups with presentations whose relators are proper powers. We also prove that…

Group Theory · Mathematics 2020-02-10 Jonah Gaster , Daniel T. Wise

Motivated by recent appearance of multivalued structures in categorification, tropical geometry and other areas, we study basic properties of abstract multisemigroups. We give many new and old examples and general constructions for…

Group Theory · Mathematics 2017-05-10 Ganna Kudryavtseva , Volodymyr Mazorchuk

Abstract separation systems are a new unifying framework in which separations of graph, matroids and other combinatorial structures can be expressed and studied. We characterize the abstract separation systems that have representations as…

Combinatorics · Mathematics 2025-05-16 Nathan Bowler , Jay Lilian Kneip

We propose an alternative definition for pseudo-bosons. This simplifies the mathematical structure, minimizing the required assumptions. Some physical examples are discussed, as well as some mathematical results related to the biorthogonal…

Mathematical Physics · Physics 2015-06-17 Fabio Bagarello

The general properties of two-dimensional generalized Bessel functions are discussed. Various asymptotic approximations are derived and applied to analyze the basic structure of the two-dimensional Bessel functions as well as their nodal…

Quantum Physics · Physics 2008-08-12 H. J. Korsch , A. Klumpp , D. Witthaut

Conceptors provide an elementary neuro-computational mechanism which sheds a fresh and unifying light on a diversity of cognitive phenomena. A number of demanding learning and processing tasks can be solved with unprecedented ease,…

Neural and Evolutionary Computing · Computer Science 2014-06-11 Herbert Jaeger

We generalize the notion of essential closures which is used in formulating a geometric necessary condition for a set to be the support of a multivariate copula. Furthermore, in some special cases, we derive an explicit formula of the…

Statistics Theory · Mathematics 2012-07-26 Pongpol Ruankong , Songkiat Sumetkijakan

We study boundary properties of plurisubharmonic functions near real submanifolds of almost complex manifolds.

Complex Variables · Mathematics 2020-08-26 Alexandre Sukhov

The Minimal Supersymmetric Standard Model (MSSM) can include two soft breaking terms which are often neglected: a non-analytic scalar trilinear coupling and a Higgsino bilinear term. A set of high-scale boundary conditions consistent with…

High Energy Physics - Phenomenology · Physics 2010-02-03 J. P. J. Hetherington

The paper is intended to introduce power conversion principles and to define common terms in the domain. The concepts of sources and switches are defined and classified. From the basic laws of source interconnections, a generic method of…

Accelerator Physics · Physics 2016-07-07 F. Bordry , D. Aguglia

Sets of orthogonal basis functions over two-dimensional circular areas--most often representing pupils in optical applications--are known in the literature for the full circle (Zernike or Jacobi polynomials) and the annulus. This work…

Optics · Physics 2017-05-08 Richard J. Mathar