Results 21 to 30 of about 1,804,204 (295)

Altered Numbers of Fibonacci Number Squared

open access: yesJournal of New Theory, 2023
We investigate two types of altered Fibonacci numbers obtained by adding or subtracting a specific value $\{a\}$ from the square of the $n^{th}$ Fibonacci numbers $G^{(2)}_{F(n)}(a)$ and $H^{(2)}_{F(n)}(a)$.
Emre Kankal, Fikri Köken
doaj   +1 more source

A Comprehensive Family of Biunivalent Functions Defined by k -Fibonacci Numbers

open access: yesJournal of Function Spaces, 2021
By using k -Fibonacci numbers, we present a comprehensive family of regular and biunivalent functions of the type g
B. Frasin, S. R. Swamy, I. Aldawish
semanticscholar   +1 more source

Improving a constructive heuristic for the general routing problem

open access: yesNetworks, Volume 81, Issue 1, Page 93-106, January 2023., 2023
Abstract The general routing problem (GRP) is a fundamental 𝒩𝒫‐hard vehicle routing problem, first defined by Orloff in 1974. It contains as special cases the Chinese postman problem, the rural postman problem, the graphical TSP, and the Steiner TSP. We examine in detail a known constructive heuristic for the GRP, due to Christofides and others.
Burak Boyacı   +2 more
wiley   +1 more source

On Fibonacci functions with Fibonacci numbers [PDF]

open access: yesAdvances in Difference Equations, 2012
Abstract In this paper we consider Fibonacci functions on the real numbers R, i.e., functions f : R → R such that for all x ∈ R ,
Hee Sik Kim   +2 more
openaire   +2 more sources

Updates in SASfit for fitting analytical expressions and numerical models to small‐angle scattering patterns

open access: yesJournal of Applied Crystallography, Volume 55, Issue 6, Page 1677-1688, December 2022., 2022
Recent enhancements and additions to the SASfit program are discussed, including anisotropic scattering models, flexible distributions, regularization techniques such as the expectation‐maximization method, and new structure factors, especially for ordered nano‐ and meso‐scaled material.
Joachim Kohlbrecher, Ingo Breßler
wiley   +1 more source

Some properties of k-generalized Fibonacci numbers

open access: yes, 2021
Fn (k) = (Fm) (Fm+1) r , n = mk + r. In [14], Özkan et al. defined a new family of k-Lucas numbers and gave some identities of the new family of k-Fibonacci and k-Lucas numbers. Özkan et al.
N. Yilmaz, A. Aydoğdu, E. Özkan
semanticscholar   +1 more source

On Third-Order Bronze Fibonacci Numbers

open access: yesMathematics, 2021
In this study, we firstly obtain De Moivre-type identities for the second-order Bronze Fibonacci sequences. Next, we construct and define the third-order Bronze Fibonacci, third-order Bronze Lucas and modified third-order Bronze Fibonacci sequences. Then,
Mücahit Akbıyık, Jeta Alo
semanticscholar   +1 more source

The sequence of trifurcating Fibonacci numbers

open access: yesRatio Mathematica, 2021
One of the interesting generalizations of Fibonacci sequence is a k-Fibonacci sequence, which is further generalized into the ‘Bifurcating Fibonacci sequence’.
Parimalkumar A. Patel   +1 more
doaj   +1 more source

Some Algebraic Aspects of MorseCode Sequences [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2003
Morse code sequences are very useful to give combinatorial interpretations of various properties of Fibonacci numbers. In this note we study some algebraic and combinatorial aspects of Morse code sequences and obtain several q-analogues of Fibonacci
Johann Cigler
doaj   +2 more sources

On Fibonacci (k,p)-Numbers and Their Interpretations

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023
In this paper, we define new kinds of Fibonacci numbers, which generalize both Fibonacci, Jacobsthal, Narayana numbers and Fibonacci p-numbers in the distance sense, using the definition of a distance between numbers by a recurrence relation according to
Berke Cengiz, Yasemin Taşyurdu
doaj   +1 more source

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