Results 81 to 90 of about 24,784 (197)

Dual Proximal Groups Concisely Representing Complex Hosoya Triangles

open access: yesAdvances in Mathematical Physics, Volume 2026, Issue 1, 2026.
This paper introduces dual proximal groups (DPGs) that provide concise representation of complex Hosoya triangles (CHTs). An application is given in terms of the DPG representation of collections of Hosoya‐Hilbert circular triangles on modulated motion waveforms in sequences of video frames. MSC2020 Classification: 11B39,54E05,57S25.
Kübra Gül   +3 more
wiley   +1 more source

A Matrix Approach for Divisibility Properties of the Generalized Fibonacci Sequence

open access: yesDiscrete Dynamics in Nature and Society, 2013
We give divisibility properties of the generalized Fibonacci sequence by matrix methods. We also present new recursive identities for the generalized Fibonacci and Lucas sequences.
Aynur Yalçiner
doaj   +1 more source

(Non‐) Human Coordination Dynamics: Scaling Transformative Processes Through Indigenous Knowledge Systems

open access: yesComplexity, Volume 2026, Issue 1, 2026.
This paper describes the theory, method and customary knowledge behind the design of a global systems change network grounded in Indigenous relational processes. The project leverages nested cohorts of human and nonhuman agents, affiliated through ancient borderwork protocols within biocultural governance structures.
T. Yunkaporta   +4 more
wiley   +1 more source

Multiloitering Munition Cooperative Surrounding and Attack Method Based on Wolf Pack Algorithm

open access: yesInternational Journal of Aerospace Engineering, Volume 2026, Issue 1, 2026.
Aiming at the optimization problem of multiloitering munitions cooperatively surrounding moving targets, this paper proposes a cooperative surrounding and attack method based on the wolf pack algorithm (WPA). Firstly, the relative kinematics model between the munitions and the target is established, and the cooperative surrounding task flow is analyzed
Zetian Zhang   +4 more
wiley   +1 more source

Copper ratio obtained by generalizing the Fibonacci sequence

open access: yesAIP 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

A Generalization of Gaussian Balancing and Gaussian Balancing‐Lucas Numbers With Applications

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this paper, we study a generalization of Gaussian balancing and Gaussian Lucas‐balancing numbers, we find their generating functions, Binet formulas, related matrix representation, and many other properties. Also, we provide some applications in cryptography.
T. Al-Asoully   +2 more
wiley   +1 more source

H-Nacci Sequence and Its Role in Virus Mutation

open access: yesMathematics
In this research, we proposed a new concept called as the H-Nacci sequence. The H-Nacci sequence (Fibonacci sequences of length h) is a collection of numbers developed from the coefficients of the generalized m-th Fibonacci equation.
Muflih Alhazmi   +7 more
doaj   +1 more source

Fibonacci Modules and Multiple Fibonacci Sequences

open access: yes, 2008
Double Fibonacci sequences are introduced and they are related to operations with Fibonacci modules. Generalizations and examples are also discussed.
openaire   +2 more sources

On an analytical study of the generalized Fibonacci polynomials [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
In this work, we presented an analytical study of the generalized Fibonacci polynomial of order r≥2, by using properties of the fundamental system associated with the generalized Fibonacci polynomial.
Leandro Rocha   +2 more
doaj   +1 more source

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