Results 71 to 80 of about 2,715 (213)

On Some Properties of the Hofstadter–Mertens Function

Complexity, 2020
Many mathematicians have been interested in the study of recursive sequences. Among them, a class of “chaotic” sequences are named “meta-Fibonacci sequences.” The main example of meta-Fibonacci sequence was introduced by Hofstadter, and it is called the ...
Pavel Trojovský
doaj   +1 more source

Highly Scalable, Raspberry‐Like Microbeads with Nano‐/Micro‐Confined Hybrid Hydrogel Desiccants for Rapid Atmospheric Water Harvesting

Advanced Functional Materials, Volume 35, Issue 46, November 12, 2025.
A scalable nano‐/micro‐confinement strategy is developed, where polyacrylamide (PAM)‐LiCl hybrid desiccants are confined within hollow nanoparticles (HNPs) and assembled into raspberry‐like microbeads. The beads have a hydrogel‐rich core and an NP‐rich shell for fast absorption and desorption, releasing water 13.6 L kg⁻¹ day⁻¹.
Yunchan Lee, So Hee Nah, Kun‐Yu Wang, Yinding Chi, Jong Bin Kim, Ziyun Zhang, Shu Yang   +6 more
wiley   +1 more source

IDENTITIES FOR MULTIPLICATIVE COUPLED FIBONACCI SEQUENCES OF RTH ORDER

Journal of New Theory, 2017
Abstaract−Many author studied coupled Fibonacci sequences and multiplicative coupled Fi- bonacci sequences of lower order two, three and four etc. In this paper we defined multiplicative coupled Fibonacci Sequences of rthorder under 2rdifferent schemes ...
Ashok Dnyandeo Godase, Macchindra Dhakne
doaj  

Fibonacci Modules and Multiple Fibonacci Sequences

, 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

A Matrix Approach for Divisibility Properties of the Generalized Fibonacci Sequence

Discrete 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

A New Notion of Convergence Defined by The Fibonacci Sequence: A Novel Framework and Its Tauberian Conditions

Mathematics
The Fibonacci sequence has broad applications in mathematics, where its inherent patterns and properties are utilized to solve various problems. The sequence often emerges in areas involving growth patterns, series, and recursive relationships.
Ibrahim S. Ibrahim, María C. Listán-García   +1 more
doaj   +1 more source

New summation identities of hyperbolic k-Fibonacci and k-Lucas quaternions [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we introduce a set of identities involving hyperbolic k-Fibonacci quaternions and k-Lucas quaternions. Moreover, we derive summation identities for hyperbolic k-Fibonacci and k-Lucas quaternions by utilizing established properties of k ...
A. D. Godase
doaj   +1 more source

Generalized Finite-Length Fibonacci Sequences in Healthy and Pathological Human Walking: Comprehensively Assessing Recursivity, Asymmetry, Consistency, Self-Similarity, and Variability of Gaits. [PDF]

Front Hum Neurosci, 2021
Verrelli CM, Iosa M, Roselli P, Pisani A, Giannini F, Saggio G.   +5 more
europepmc   +1 more source

Another six Fibonacci-like sequences [PDF]

Notes on Number Theory and Discrete Mathematics
We briefly describe six Fibonacci-like sequences or arbitrary order that give rise to a periodic or eventually periodic sequences. We provide some examples and demonstrate the explicit periods of these sequences.
Karol Gryszka
doaj   +1 more source

Balancing on the edge, the golden ratio, the Fibonacci sequence and their generalization [PDF]

, 2020
Gautam Dutta, Mitaxi Mehta, Praveen Pathak   +2 more
openalex   +1 more source