On the Gersgorin Theorem applied to Radar Polarimetry [PDF]
This contribution is concerned with the mathematical formulation and theoretical background of the ...
Boerner, Wolfgang-Martin +2 more
core +1 more source
Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras [PDF]
For each two-dimensional vector space $V$ of commuting $n\times n$ matrices over a field $\mathbb F$ with at least 3 elements, we denote by $\widetilde V$ the vector space of all $(n+1)\times(n+1)$ matrices of the form $\left[\begin{smallmatrix}A&*\\0&0 ...
Futorny, Vyacheslav +3 more
core +3 more sources
RNA‐Based Assessment of Diversity and Composition of Active Archaeal Communities in the German Bight
Archaea play an important role in various biogeochemical cycles. They are known extremophiles inhabiting environments such as thermal springs or hydrothermal vents. Recent studies have revealed a significant abundance of Archaea in moderate environments, for example, temperate sea water.
Bernd Wemheuer +3 more
wiley +1 more source
On the Solutions of Some Linear Complex Quaternionic Equations [PDF]
Some complex quaternionic equations in the type AX-XB= C are investigated. For convenience, these equations were called generalized Sylvester-quaternion equations, which include the Sylvester equation as special cases.
Bolat, Cennet, İpek, Ahmet
core +4 more sources
Geometric polarimetry - part II: the Antenna Height Spinor and the Bistatic Scattering Matrix [PDF]
This paper completes the fundamental development of the basic coherent entities in Radar Polarimetry for coherent reciprocal scattering involving polarized wave states, antenna states and scattering matrices. The concept of antenna polarization states as
Bebbington, David, Carrea, Laura
core +1 more source
A Note on the Solutions of Some Linear Octonionic Equations [PDF]
The main concerns of this paper are the linear equations with one term and one unknown of the forms: a(xa) =r, a(xb ) = r and (ax)b =r, and the linear equations with two terms and one unknown of the forms: (ax)b +(g x)d =r and a (xb )+g (xd ) =r over the
Bolat, Cennet, İpek, Ahmet
core +1 more source
أسرار التشابه اللفظي في تفسير الشيخ الشعراوي المتعلقة بالتذكير والتأنيث (دراسة وصفية تحليلية): Secrets of Consimilarity in the Exegesis of Sheikh Shaarawi related to Masculinity & Femininity (An Analytical Descriptive Study) [PDF]
The Holy Qur’an is Allah’s miraculous book for his creation in its composing, style, eloquence and organization, miraculous in its wisdom and knowledge, and as a unique way of guidance according to times and circumstances.
Abdullah, Dr. Naveed Altaf Khan
core +1 more source
Regularizing algorithm for mixed matrix pencils [PDF]
P. Van Dooren (1979) constructed an algorithm for computing all singular summands of Kronecker's canonical form of a matrix pencil. His algorithm uses only unitary transformations, which improves its numerical stability.
Klymchuk, Tetiana
core +2 more sources
Cycles of linear and semilinear mappings
We give a canonical form of matrices of a cycle of linear or semilinear mapping V_1 --- V_2 --- ... --- V_t --- V_1 in which all V_i are complex vector spaces, each line is an arrow ---> or
Bass +16 more
core +1 more source
Stratification theory of matrix pairs under equivalence and contragredient equivalence [PDF]
We develop the theory of perturbations of matrix pencils basing on their miniversal deformations. Several applications of this theory are given. All possible Kronecker pencils that are canonical forms of pencils in an arbitrary small neighbourhood of ...
Klymchuk, Tetiana
core +6 more sources

