Results 71 to 80 of about 908 (146)

Bicomplex k-Fibonacci quaternions

, 2018
In this paper, bicomplex k-Fibonacci quaternions are defined. Also, some algebraic properties of bicomplex k-Fibonacci quaternions which are connected with bicomplex numbers and k-Fibonacci numbers are investigated. Furthermore, the Honsberger identity, the d'Ocagne's identity, Binet's formula, Cassini's identity, Catalan's identity for these ...
openaire   +2 more sources

On the Pseudo-Fibonacci and Pseudo-Lucas Quaternions [PDF]

, 2023
Orhan Dışkaya, Hamza Menken
openalex   +1 more source

(Random) Trees of Intermediate Volume Growth

Random Structures &Algorithms, Volume 67, Issue 4, December 2025.
ABSTRACT For every function g:ℝ≥0→ℝ≥0$$ g:{\mathbb{R}}_{\ge 0}\to {\mathbb{R}}_{\ge 0} $$ that grows at least linearly and at most exponentially, if it is sufficiently well‐behaved, we can construct a tree T$$ T $$ of uniform volume growth g$$ g $$, or more precisely, C1·g(r/4)≤|BG(v,r)|≤C2·g(4r),for allr≥0andv∈V(T),$$ {C}_1\cdotp g\left(r/4\right)\le \
George Kontogeorgiou, Martin Winter
wiley   +1 more source

Computational Homogenization in Three‐Dimensional Magnetostatics Using Empirically Corrected Cluster Cubature (E3C) Hyper‐Reduction

International Journal for Numerical Methods in Engineering, Volume 126, Issue 22, 30 November 2025.
ABSTRACT The recently published hyper‐reduction method “Empirically Corrected Cluster Cubature” (E3C) is applied for the first time in three dimensions (here magnetostatics). The method is verified to give accurate results even for a small number of integration points, such as 15 for 3D microstructure simulations.
Hauke Goldbeck, Stephan Wulfinghoff
wiley   +1 more source

Modeling the Crustal Magnetic Field of Mars With Physics‐Informed Neural Networks

Journal of Geophysical Research: Planets, Volume 130, Issue 11, November 2025.
Abstract Satellites orbiting Mars have measured crustal magnetic fields up to two orders of magnitude stronger than those on Earth. Although Mars currently lacks an active global magnetic field, this magnetization preserves a valuable record of the planet's early dynamo activity and crustal evolution.
T. Delcourt, A. Mittelholz
wiley   +1 more source

Micromagnetic Simulations of Chemical Remanent Magnetization Acquisition in Single‐Vortex Magnetite Particles

Geophysical Research Letters, Volume 52, Issue 20, 28 October 2025.
Abstract Magnetic minerals can preserve remanent magnetization to provide ancient magnetic field records. Although thermoremanent magnetization (TRM) is well understood, chemical remanent magnetization (CRM) from chemical processes is also prevalent in nature and can complicate TRM records by introducing additional remanence signals.
Shichu Chen, Liao Chang, Wyn Williams
wiley   +1 more source

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

Axioms
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

An adaptive block‐wise prediction error‐based (AdaBPE) reversible data hiding in encrypted images for medical image transmission

CAAI Transactions on Intelligence Technology, Volume 10, Issue 5, Page 1269-1290, October 2025.
Abstract Life expectancy has improved with new‐age technologies and advancements in the healthcare sector. Though artificial intelligence (AI) and the Internet of Things (IoT) are revolutionising smart healthcare systems, security of the healthcare data is always a concern.
Shaiju Panchikkil, Vazhora Malayil Manikandan, Partha Pratim Roy, Shuihua Wang, Yudong Zhang   +4 more
wiley   +1 more source

Copper ratio obtained by generalizing the Fibonacci sequence

AIP Advances
In this study, we define a new generalization of the Fibonacci sequence that gives the copper ratio, and we will call it the copper Fibonacci sequence. In addition, inspired by the copper Fibonacci definition, we also define copper Lucas sequences, and ...
Engin Özkan, Hakan Akkuş
doaj   +1 more source

Quaternion algebras and the generalized Fibonacci-Lucas quaternions

, 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