Results 81 to 90 of about 879,292 (211)

Alternating generalized Fibonacci sequences [PDF]

Notes on Number Theory and Discrete Mathematics
In a recent paper, K.~T. Atanassov and A.~G. Shannon introduced a Fibonacci-like sequence derived from the generalized Fibonacci sequence by incorporating alternating signs into the recurrence relation.
Carlos M. da Fonseca, Paulo Saraiva
doaj   +1 more source

Mind the Gap: Linking Refactorings and Code Smells in Elixir

Journal of Software: Evolution and Process, Volume 38, Issue 5, May 2026.
ABSTRACT Elixir is a functional programming language increasingly used in the industry to develop scalable and fault‐tolerant concurrent systems more easily and with fewer computational resources. In previous studies, we cataloged 35 code smells and 82 refactorings tailored for this language, validating them with over 300 experienced developers ...
Lucas Vegi, Marco Túlio Valente
wiley   +1 more source

Two Fibonacci-like sequences [PDF]

Notes on Number Theory and Discrete Mathematics
In the present paper we will discuss the two Fibonacci-like sequences s₂ₖ₊₁=s₂ₖ-s₂ₖ₋₁+...-s₁+s₀ with s₀=a₀,...,s₂ₖ=a₂ₖ and s₂ₖ₊₂=s₂ₖ₊₁-s₂ₖ+...+s₁-s₀ with s₀=a₀,...,s₂ₖ=a₂ₖ₊₁, where a₀,...,a₂ₖ₊₁ are arbitrary numbers.
Krassimir T. Atanassov, Anthony G. Shannon   +1 more
doaj   +1 more source

Polynomial generalizations of the Pell sequences and the Fibonacci sequence

, 2015
In this paper we present polynomial generalizations for the Pell sequence and the Fibonacci sequence together with formulas for those sequences.
Ivkovic, M, Santos, JPO
core  

Total Variation Regularized GRACE(‐FO) Inversion

Journal of Geophysical Research: Solid Earth, Volume 131, Issue 5, May 2026.
Abstract Gravity estimation from satellite‐satellite tracking missions such as GRACE(‐FO) is an ill‐posed inverse problem. The conventional approach to regularized inversion of GRACE(‐FO) measurements uses L2 ${L}_{2}$‐Tikhonov regularization with a heuristic constraint matrix derived based on knowledge of spatiotemporal distribution of the signal ...
G. Jacob, S. Bettadpur, H. Save, P. Nagel, F. Wang   +4 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  

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

, 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  

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

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

Fibonacci numbers, Euler's 2-periodic continued fractions and moment sequences

, 2011
We prove that certain sequences of finite continued fractions associated with a 2-periodic continued fraction with period a,b > 0 are moment sequences of discrete signed measures supported in the interval [−1,1], and we give necessary and sufficient ...
Durán Guardeño, Antonio José, Berg, Christian   +1 more
core