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
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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
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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
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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
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Development of polarimetric vector signal and tensor image processing in wideband interferometric POL-RAD/SAR signature analysis [PDF]
Based on the complete transmission versus scattering matrix description and the availability of the associated sets of four distinct matrices, vector signal (PMSF) and tensor image (PMIF) signature processing algorithms are introduced for the ...
168818 +11 more
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On Mathematical and Physical Principles of Transformations of the Coherent Radar Backscatter Matrix [PDF]
The congruential rule advanced by Graves for polarization basis transformation of the radar backscatter matrix is now often misinterpreted as an example of consimilarity transformation.
D. Bebbington, L. Carrea
semanticscholar +1 more source
OPUC, CMV matrices and perturbations of measures supported on the unit circle [PDF]
Let us consider a Hermitian linear functional defined on the linear space of Laurent polynomials with complex coefficients. In the literature, canonical spectral transformations of this functional are studied.
Marcellán Español, Francisco José +1 more
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Classification of pairs of rotations in finite-dimensional Euclidean space
A rotation in a Euclidean space V is an orthogonal map on V which acts locally as a plane rotation with some fixed angle. We give a classification of all pairs of rotations in finite-dimensional Euclidean space, up to simultaneous conjugation with ...
Darpö, Erik
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SCATTERER CHARACTERIZATION BASED ON THE CONDIAGONALIZATION OF THE SINCLAIR BACKSCATTERING MATRIX
In this paper, we revisit the condiagonalization of the Sinclair backscattering matrix, to overcome the Huynen decomposition issues, so as to correctly extract scatterer polarimetric properties. The correct extraction of scatterer polarimetric properties
G. Kouroupis, V. Anastassopoulos
semanticscholar +1 more source
Spin Angular Momentum of Proton Spin Puzzle in Complex Octonion Spaces
The paper focuses on considering some special precessional motions as the spin motions, separating the octonion angular momentum of a proton into six components, elucidating the proton angular momentum in the proton spin puzzle, especially the proton ...
Weng, Zi-Hua
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