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On a generalized Jordan normal form of an infinite upper triangular matrix
(Taylor & Francis Ltd, United Kingdom, 2019)
Any square matrix over an algebraically closed field has a Jordan normal form. In this paper, we prove that every infinite upper triangular matrix over an arbitrary field has a generalized infinite Jordan normal form.
Geometrical, Fresnel, and Fraunhofer Regimes of Single-Slit Diffraction
(American Association of Physics Teachers - AAPT.org, 2019)
Recently, Panuski and Mungan presented the results of their study of light diffraction from a variable-width single slit by observing and measuring the diffraction pattern on an observation screen placed at a fixed distance. ...
On the Generalized Strongly Nil - Clean Property of the Matrix Rings
(World Scientific Publishing Company, 2021)
Let R be an associative unital ring and not necessarily commutative. We
analyzes conditions under which every n×n matrix A over R is expressible as a sum
A = E1 + ... +Es +N of (commuting) idempotent matrices Ei and a ...
Weighted quasisymmetric enumerator for generalized permutohedra
(Springer, 2020)
We introduce a weighted quasisymmetric enumerator function associated to generalized permutohedra. It refines the Billera, Jia and Reiner quasisymmetric function which also includes the Stanley chromatic symmetric function. ...
The clean graph of a commutative ring
(Charles Babbage Research Centre, 2017)
To gain a better understanding of clean rings and their relatives, the clean graph of a commutative ring with identity is introduced and its various properties established. Further investigation of clean graphs leads to ...
The line graph associated to the total graph of a commutative ring
(Ars Combinatoria, 2016)
Let R be a commutative ring with identity and T(Gamma(R)) its total graph. The subject of this article is the investigation of the properties of the corresponding line graph L(T(Gamma(R))). The classification of all ...
Triangular proportional scheme and concept of the two Serbian medieval churches
(Springer Verlag, 2018)
Serbian medieval architectural heritage is notable for its sacred architecture including numerous Christian Orthodox churches built at the territory of former Raška state during the period from the 12th to the 14th centuries. ...
On the influence of resonance photon scattering on atom interference
(Physica Scripta, 2010)
Here, the influence of resonance photon-atom scattering on the atom interference pattern at the exit of a three-grating Mach-Zehnder interferometer is studied. It is assumed that the scattering process does not destroy the ...
Chebyshev polynomials and r-circulant matrices
(Applied Mathematics and Computation, 2022)
This paper connects two attractive topics in applied mathematics, r-circulant matrices and the
Chebyshev polynomials. The r-circulant matrices whose entries are the Chebyshev polynomials
of the first or second kind are ...
On the extension of the Erdös-Mordell type inequalities
(Mathematical Inequalities & Applications, 2014)
We discuss the extension of inequality R_A >= c/a * r_b + b/a * r_c to the plane of triangle ABC. Based on the obtained extension, in regard to all three vertices of the triangle, we get the extension of Erdos-Mordell ...