Results 61 to 70 of about 30,407 (243)
Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients
Universal Journal of Mathematics and Applications, 2023 In this paper, we introduce hybrid numbers with Fibonacci and Lucas hybrid number coefficients. We give the Binet formulas, generating functions, and exponential generating functions for these numbers. Then we define an associate matrix for these numbers.
Emrah Polatlı
doaj +1 more source
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
Complete k-ary trees and generalized meta-Fibonacci sequences [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 We show that a family of generalized meta-Fibonacci sequences arise when counting the number of leaves at the largest level in certain infinite sequences of k-ary trees and restricted compositions of an integer.
Chris Deugau, Frank Ruskey
doaj +1 more source
Generalized Compositions and Weighted Fibonacci Numbers [PDF]
, 2010 In this paper we consider particular generalized compositions of a natural number with a given number of parts. Its number is a weighted polynomial coefficient.
Janjic, Milan
core
Weak Disorder in Fibonacci Sequences
, 2006 We study how weak disorder affects the growth of the Fibonacci series. We introduce a family of stochastic sequences that grow by the normal Fibonacci recursion with probability 1-epsilon, but follow a different recursion rule with a small probability ...
Ben-Naim E +8 more
core +1 more source
Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers [PDF]
Mathematics, 2018 The aim of this paper is to research the structural properties of the Fibonacci polynomials and Fibonacci numbers and obtain some identities. To achieve this purpose, we first introduce a new second-order nonlinear recursive sequence. Then, we obtain our main results by using this new sequence, the properties of the power series, and the combinatorial ...
Ma, Yuankui, Zhang, Wenpeng
openaire +3 more sources
Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12654-12674, September 2025.ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad +1 more
wiley +1 more source
Gap terminology and related combinatorial properties for AVL trees and Fibonacci-isomorphic trees
AKCE International Journal of Graphs and Combinatorics, 2018 We introduce gaps that are edges or external pointers in AVL trees such that the height difference between the subtrees rooted at their two endpoints is equal to 2.
Mahdi Amani
doaj +1 more source
Journal of Geophysical Research: Planets, Volume 130, Issue 9, September 2025.Abstract Inversions of satellite observations of the lunar crustal magnetic field do not consistently produce regional magnetization directions consistent with a selenocentric axial dipolar field. We modeled the thermal evolution of anomaly source bodies in the lunar crust and found that large features (impact melt sheets and ejecta deposits) cool ...
T. Chaffee +3 more
wiley +1 more source
On Integer Numbers with Locally Smallest Order of Appearance in the Fibonacci Sequence
International Journal of Mathematics and Mathematical Sciences, 2011 Let Fn be the nth Fibonacci number. The order of appearance z(n) of a natural number n is defined as the smallest natural number k such that n divides Fk. For instance, for all n=Fm≥5, we have z(n−1)>z(n)
Diego Marques
doaj +1 more source