A Note on the Solutions of Some Linear Octonionic Equations [PDF]
, 2014 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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A canonical form for matrices under consimilarity
Linear Algebra and its Applications, 1988 Complex \(n\times n\) matrices A, B are said to be consimilar if \(B=S^{- 1}A\bar S\) for some non-singular complex matrix S. This concept arises naturally from comparing the expressions for a semilinear transformation on an n-dimensional complex vector space in two different coordinate systems.
Hong, YooPyo, Horn, Roger A.
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RNA‐Based Assessment of Diversity and Composition of Active Archaeal Communities in the German Bight
Archaea, Volume 2012, Issue 1, 2012., 2012 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
Geometric polarimetry - part II: the Antenna Height Spinor and the Bistatic Scattering Matrix [PDF]
, 2017 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
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Similarity and consimilarity of elements in the real Cayley-Dickson algebras [PDF]
Advances in Applied Clifford Algebras, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Solutions of Some Linear Complex Quaternionic Equations [PDF]
, 2014 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
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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]
, 2022 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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Regularizing algorithm for mixed matrix pencils [PDF]
, 2017 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
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Cycles of linear and semilinear mappings
, 2012 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]
, 2019 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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