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In this paper, we define Tribonacci and Tribonacci-Lucas matrix sequences and investigate their properties.

Number Theory · Mathematics 2018-09-24 Yüksel Soykan

In this paper, we introduce a new type fuzzy boundary and study some related set theoretic identities. Further, this new type of fuzzy boundary is compared with different existing fuzzy boundaries.

General Mathematics · Mathematics 2012-08-13 J. Mahanta , P. K. Das

Recent analysis of the distribution of clusters of galaxies is reviewed. Clusters of galaxies located in rich superclusters form a quasiregular lattice. The mean power spectrum of galaxies and clusters has been found, it has a peak at…

Astrophysics · Physics 2007-05-23 Jaan Einasto

We give a characterization of limits of dihedral groups in the space of finitely generated marked groups. We also describe the topological closure of dihedral groups in the space of marked groups on a fixed number of generators.

Group Theory · Mathematics 2007-10-09 Luc Guyot

The summation formula within pascalian triangle resulting in the fibonacci sequence is extended to the $q$-binomial coefficients $q$-gaussian triangles.

Combinatorics · Mathematics 2008-02-11 A. K. Kwasniewski

The spectrum of a finite group is the set of element orders of this group. The main goal of this paper is to survey results concerning recognition of finite simple groups by spectrum, in particular, to list all finite simple groups for…

Group Theory · Mathematics 2024-06-06 Maria A. Grechkoseeva , Victor D. Mazurov , Wujie Shi , Andrey V. Vasil'ev , Nanying Yang

For light fields, the coherence in longitudinal direction is governed by both the frequency spectra and angular spectra they possess. In this work, we develop and report a theoretical formulation to demonstrate the effect of the angular…

Optics · Physics 2019-09-04 Bhaskar Kanseri , Gaytri Arya

We give an overview of various prolongations of quasigroups. Two step prolongation procedure is proposed.

Group Theory · Mathematics 2015-07-22 V. A. Shcherbacov

Topological characterization of torus groups is given.

General Topology · Mathematics 2007-05-23 Alex Chigogidze

In this contribution, we present evidence for the occurrence of triangular symmetry in cluster nuclei. We discuss the structure of rotational bands for 3-alpha and 3-alpha+1 configurations with triangular D(3h) symmetry by exploiting the…

Nuclear Theory · Physics 2021-02-03 R. Bijker , A. H. Santana-Valdés

The aim of this paper is to relate Thurston's metric on Teichm\"uller space to several ideas initiated by T. Sorvali on isomorphisms between Fuchsian groups. In particular, this will give a new formula for Thurston's asymmetric metric for…

Geometric Topology · Mathematics 2012-10-10 Athanase Papadopoulos , Weixu Su

This report summarizes the progress in measuring the angle gamma (or phi3) of the Unitarity Triangle.

High Energy Physics - Experiment · Physics 2019-08-13 P. Krokovny

This is the second paper in a series of three papers aiming to study cohomology of group theoretic Dehn fillings. In the present paper, we derive a spectral sequence for Cohen-Lyndon triples which can be thought of as a refined version of…

Group Theory · Mathematics 2021-01-19 Bin Sun

We show that Thompson's group F occurs with great frequency in the group of PL homeomorphisms of the unit interval.

Group Theory · Mathematics 2013-09-04 Matthew G. Brin

We give upper and lower bounds on the spectral radius of a graph in terms of the number of walks. We generalize a number of known results.

Combinatorics · Mathematics 2007-05-23 Vladimir Nikiforov

In this paper, we show a spectral inclusion of integrated semigroups for Saphar, essentially Saphar and quasi-Fredholm spectra.

Functional Analysis · Mathematics 2018-01-31 Abdelaziz Tajmouati , Hamid Boua , Mohamed Karmouni

We derive an asymptotic expansion for the subgroup of arbitrary Fuchsian groups and some other classes of large groups. Moreover, the main conjecture for Random Walks on symmetric groups is established in full generality. Both problems…

Group Theory · Mathematics 2007-05-23 Thomas W. Mueller , Jan-Christoph Schlage-Puchta

We consider approximately greater than relations on fuzzy sets and discuss their properties.

General Mathematics · Mathematics 2018-06-26 Huan Huang

The purpose of this paper is to describe the images of multilinear polynomials of arbitrary degree on the strictly upper triangular matrix algebra.

Rings and Algebras · Mathematics 2018-07-25 Pedro S. Fagundes

This article introduces patterns of ideals of numerical semigroups, thereby unifying previous definitions of patterns of numerical semigroups. Several results of general interest are proved. More precisely, this article presents results on…

Rings and Algebras · Mathematics 2015-01-30 Klara Stokes