Applications of some special number sequences and quaternion elements using Fibonacci and Lucas elements [PDF]
, 2021 In this paper, we studied if some algebraic structures can be obtained by using Fibonacci and Lucas elements and we provided some new properties and relations of them. Moreover, we give a method to find new examples of quaternion split algebras.
ZAHARIA, Mariana-Geanina
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On Quaternion Equivalents for Quasi-Fibonacci Numbers, Shortly Quaternaccis
Advances in Applied Clifford Algebras, 2019 This paper is devoted to the newly defined families of associated sequences of real polynomials and numbers that arose on a base of quaternions. We present not only the explicit and recurrent formulae for these sequences, but also summation and reduction
Beata Bajorska-Harapińska +2 more
semanticscholar +2 more sources
There are no multiply-perfect Fibonacci numbers [PDF]
, 2011 Here, we show that no Fibonacci number (larger than 1) divides the sum of its ...
Lewis, Ryan H. +11 more
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Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup. [PDF]
, 2013 Let G be a finite group with a Sylow 2-subgroup P which is either quaternion or semi-dihedral. Let k be an algebraically closed field of characteristic 2.
Mazza, Nadia +2 more
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On the (p,q)-fibonacci quaternion and octonion polynomials [PDF]
, 2021 Bu tez beş bölümden oluşmaktadır. Birinci bölümde giriş kısmına yer verilmiştir. İkinci bölümde, önbilgiler ve diğer bölümlerde kullanılacak olan temel tanım ve teoremler verilmiştir. Üçüncü bölümde, (p,q)-Fibonacci ve (p,q)-Lucas kuaterniyon polinomları
Porsuk, Ayhan
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Super Fibonacci Graceful Labeling of Some Special Class of Graphs [PDF]
, 2011 A Fibonacci graceful labeling and a super Fibonacci graceful labeling on graphs were introduced by Kathiresan and Amutha in ...
Sridevi, R. +2 more
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Some results on generalized quaternions algebra with generalized Fibonacci quaternions
Annals of the Alexandru Ioan Cuza University - Mathematics, 2023 Recently, the most general form of the quaternion algebra on 3 parameters (3PGQ) has been introduced, which prompted us to look for some properties associated with this algebra, which will be called k λ 1 ,λ 2 ,λ 3 in this article. This paper consists of
R. Chaker, Abdelkarim Boua
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Non-Abelian Sequenceable Groups Involving ?-Covers [PDF]
Journal of Sciences, Islamic Republic of Iran, 2009 A non-abelian finite group is called sequenceable if for some positive integer , is -generated ( ) and there exist integers such that every element of is a term of the -step generalized Fibonacci sequence , , , .
H. Doostie
doaj
Broadening Hard‐Magnet Discovery Beyond Symmetry Constraints via Unified Effective Anisotropy
Advanced Science, EarlyView.A unified effective‐anisotropy descriptor (Keff) extends hard‐magnet screening across all seven crystal systems, beyond the uniaxial restriction of conventional searches. Machine‐learning screening of 9320 known ferromagnets and diffusion‐model generation together yield 38 rare‐earth‐free or ‐lean candidates with DFT‐validated magnetic hardness (κ > 1),
Hojae Kim +5 more
wiley +1 more source
Generalized k-Order Fibonacci and Lucas Quaternions
Turkish Journal of Analysis and Number Theory, 2023 In this study, we define a new interesting generalization of quaternions called as generalized k -order Fibonacci and Lucas quaternions. We give some important results with specific choices.
Suleyman Aydinyuz, M. Aşçı
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