Results 81 to 90 of about 10,730 (186)

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

Developing an Accounting Virtual Assistant Through Supervised Fine‐Tuning (SFT) of a Small Language Model (SLM)

Intelligent Systems in Accounting, Finance and Management, Volume 32, Issue 3, September 2025.
ABSTRACT The development of an in‐house accounting bot—an artificial intelligence (AI) assistant capable of generating internally structured bookkeeping double‐entry posting schemes—is explored in this paper. The processes of curating a suitable dataset, selecting, and fine‐tuning a seven‐billion‐parameter language model, categorized as a small ...
Mario Zupan
wiley   +1 more source

On Summing Formulas For Generalized Fibonacci and Gaussian Generalized Fibonacci Numbers

Advances in Research, 2019
In this paper, closed forms of the summation formulas for generalized Fibonacci and Gaussian generalized Fibonacci numbers are presented. Then, some previous results are recovered as particular cases of the present results. As special cases, we give summation formulas of Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas numbers and ...
openaire   +3 more sources

On the self-convolution of generalized Fibonacci numbers

, 2017
We focus on a family of equalities pioneered by Zhang and generalized by Zao and Wang and hence by Mansour which involves self convolution of generalized Fibonacci numbers.
Belbachir, Hacène, Djellal, Toufik, Luque, Jean-Gabriel   +2 more
core  

Generalization of the Distance Fibonacci Sequences

Axioms
In this study, we introduced a generalization of distance Fibonacci sequences and investigate some of its basic properties. We then proposed a generalization of distance Fibonacci sequences for negative integers and investigated some basic properties ...
Nur Şeyma Yilmaz, Andrej Włoch, Engin Özkan   +2 more
doaj   +1 more source

Weighted sum of the sixth powers of Horadam numbers [PDF]

Notes on Number Theory and Discrete Mathematics
Ohtsuka and Nakamura found simple formulas for Σⁿⱼ₌₁Fⱼ⁶ and Σⁿⱼ₌₁Lⱼ⁶, where Fₖ and Lₖ are the k-th Fibonacci and Lucas numbers, respectively. In this note we extend their results to a general second order sequence by deriving a formula for Σⁿⱼ₌₁(-1/q³ ...
Kunle Adegoke, Chiachen Hsu, Olawanle Layeni   +2 more
doaj   +1 more source

Generalized Identities Involving Common Factors of Generalized Fibonacci, Jacobsthal and Jacobsthal-Lucas Numbers

International Journal of Analysis and Applications, 2013
In this paper, we present generalized identities involving common factors of generalized Fibonacci, Jacobsthal and jacobsthal-Lucas numbers. Binet’s formula will employ to obtain the identities.
Yashwant K. Panwar, Bijendra Singh, V. K. Gupta   +2 more
doaj   +2 more sources

On the generalized Gaussian Fibonacci numbers

, 2017
Many authors define certain generalizations of the usual Fibonacci, Pell and Lucas numbers by matrix methods and then obtain the Binet formulas and combinatorial representations of the generalizations of these number sequence. In this article firstly we define and study the generalized Gaussian Fibonacci numbers and then find the matrix representation ...
Lee, G.Y., Aşçı, Mustafa
openaire   +4 more sources

Restricted Binary Strings and Generalized Fibonacci Numbers [PDF]

, 2017
We provide some interesting relations involving k-generalized Fibonacci numbers between the set \(F_n^{(k)}\) of length n binary strings avoiding k of consecutive 0’s and the set of length n strings avoiding \(k+1\) consecutive 0’s and 1’s with some more restriction on the first and last letter, via a simple bijection.
openaire   +2 more sources

Some Finite Sums Involving Generalized Fibonacci and Lucas Numbers

Discrete Dynamics in Nature and Society, 2011
By considering Melham's sums (Melham, 2004), we compute various more general nonalternating sums, alternating sums, and sums that alternate according to (−1)2𝑛+1 involving the generalized Fibonacci and Lucas numbers.
E. Kılıç, N. Ömür, Y. T. Ulutaş
doaj   +1 more source