Results 61 to 70 of about 24,521 (128)

Split Quaternionic Representations of Horadam Sequences and Their Binet, Generating Function, and Cassini-Type Identities

open access: yesJournal of Mathematics
This study establishes a novel algebraic connection between Horadam numbers and the split quaternion algebra. To this end, two fundamental constructs are introduced: the Fibonacci Sq,r-split quaternions and the Horadam sq,r-split quaternions, which ...
İskender Öztürk, Hasan Çakır
doaj   +1 more source

Some Remarks Regarding Special Elements in Algebras Obtained by the Cayley–Dickson Process over Zp

open access: yesAxioms
In this paper, we provide some properties of k-potent elements in algebras obtained by the Cayley–Dickson process over Zp. Moreover, we find a structure of nonunitary ring over Fibonacci quaternions over Z3 and we present a method to encrypt plain texts,
Cristina Flaut, Andreea Baias
doaj   +1 more source

On generalized Fibonacci quaternion sequences with periodic coefficients: Applications

open access: yes
This paper develops a comprehensive theory of r-generalized Fibonacci quaternion sequences with periodic coefficients, extending and unifying the classical theory of Fibonacci quaternion sequences.
Mustapha Rachidi   +3 more
core   +1 more source

Learnings from Approved Antibody‐Drug Conjugates: Clinical Pharmacology Perspectives

open access: yesThe Journal of Clinical Pharmacology, Volume 66, Issue 4, April 2026.
Abstract Over the past decade, antibody‐drug conjugates (ADCs) have emerged as promising anti‐cancer therapeutics, with twelve ADCs approved by the FDA. This review evaluates trends in these ADCs, stratified by payloads on doses studied from first‐in‐human (FIH) trials through approval and post‐marketing.
Bhargavi Thalluri   +4 more
wiley   +1 more source

DeepSecure watermarking: Hybrid Attention on Attention Net and Deep Belief Net based robust video authentication using Quaternion Curvelet Transform domain

open access: yesEgyptian Informatics Journal
Digital videos have entered every facet of people’s lives because of the rise of live-streaming platforms and the Internet’s expansion & popularity.
Satish D. Mali, Loganthan Agilandeeswari
doaj   +1 more source

Quaternion algebras and the generalized Fibonacci-Lucas quaternions

open access: yes, 2015
In this paper, we introduce the generalized Fibonacci-Lucas quaternions and we prove that the set of these elements is an order,in the sense of ring theory, of a quaternion algebra. Moreover, we investigate some properties of these elements.
Flaut, Cristina, Savin, Diana
openaire   +2 more sources

Some Matrix Representations of Fibonacci Quaternions and Octonions

open access: yesAdvances in Applied Clifford Algebras, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Halıcı, Serpil, Karataş, Adnan
openaire   +6 more sources

q-Fibonacci bicomplex quaternions

open access: yes, 2021
In the paper, we define the $q$-Fibonacci bicomplex quaternions and the $q$-Lucas bicomplex quaternions, respectively. Then, we give some algebraic properties of $q$-Fibonacci bicomplex quaternions and the $q$-Lucas bicomplex quaternions.
openaire   +4 more sources

On the Pseudo-Fibonacci and Pseudo-Lucas Quaternions

open access: yesElectronic Journal of Mathematical Analysis and Applications
Summary: There are a lot of quaternion numbers that are related to the Fibonacci and Lucas numbers or their generalizations have been described and extensively explored. The coefficients of these quaternions have been chosen from terms of Fibonacci and Lucas numbers.
Dişkaya, Orhan, Menken, Hamza
openaire   +2 more sources

Some conjectures concerning sums of odd powers of Fibonacci and Lucas numbers

open access: yes, 2009
This paper contains observations, conjectures and open questions concerning two finite sums that involve Fibonacci and Lucas numbers. Certain authors have become aware of the contents of this 9hitherto unpublished) manuscript and have made inroads into ...
Melham, R
core  

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