Results 131 to 140 of about 21,260 (290)

Bi-periodic Fibonacci and Lucas matrix sequences

open access: yes, 2019
Son yıllarda, bilim dünyasının ilgisini çeken ve birçok alanda karşımıza çıkan Fibonacci, Lucas, Pell, Pell-Lucas, -Fibonacci ve -Lucas sayı dizileri ile ilgili pek çok çalışma vardır.
Coşkun, Arzu
core  

Matrix Sequences of Tribonacci and Tribonacci-Lucas Numbers

open access: yes, 2018
In this paper, we define Tribonacci and Tribonacci-Lucas matrix sequences and investigate their ...
Yüksel Soykan
core   +1 more source

Tuning the Magnetic Phase Transitions in TbMn2‐xTixSi2 (x = 0–0.3)

open access: yesAdvanced Physics Research, EarlyView.
ABSTRACT Magnetocaloric materials receive considerable attention as promising candidates for next‐generation energy‐efficient and environmentally benign solid‐state refrigeration technologies. These materials exhibit the magnetocaloric effect (MCE), whereby heat is absorbed or released upon the application or removal of a magnetic field. In this study,
E. M. H. Arif   +5 more
wiley   +1 more source

Exploring Generalized $2^k$-Fibonacci Sequence: A New Family of the Fibonacci Sequence

open access: yesCommunications in Advanced Mathematical Sciences
The focus of this paper is to study the $2^k$–Fibonacci sequence, which is defined for all integers $2^k$, and its connections with both the Fibonacci and the Fibonacci-Lucas sequences.
Elis Gardel Costa Mesquista   +2 more
doaj   +1 more source

Fibonacci and Lucas sequences at negative indices

open access: yes, 2016
This study investigate the Fibonacci and Lucas sequences at neg- ative indices. In this paper we give the formulas of F????(nk+r) and L????(nk+r) depending on whether the indices are odd or even.
Akyüz, Zeynep, Halıcı, Serpil
core  

Integer values of generating functions for Lucas sequences

open access: yes, 2021
application/pdfIt is known that the generating function of the Fibonacci sequence, F(t) =\sum_{k=0}^{\infty} F_k t^k = t/(1 - t - t^2), attains an integer value if and only if t = F_k/F_{k+1} for some k \in Z.
Noriyuki, Suwa, 23330
core  

A perspective from the Mesozoic: Evolutionary changes of the mammalian skull and their influence on feeding efficiency and high‐frequency hearing

open access: yesThe Anatomical Record, EarlyView.
Abstract The complex evolutionary history behind modern mammalian chewing performance and hearing function is a result of several changes in the entire skeletomuscular system of the skull and lower jaw. Lately, exciting multifunctional 3D analytical methods and kinematic simulations of feeding functions in both modern and fossil mammals and their ...
Julia A. Schultz
wiley   +1 more source

Primes in Fibonacci n-step and Lucas n-step Sequences

open access: yes, 2005
We search for primes in the Fibonacci n-step and Lucas n-step sequences, which are the natural generalizations of the Fibonacci and Lucas numbers. While the Fibonacci n-step sequences are nearly devoid of primes, the Lucas n-step sequences are prime-rich.
Tony D. Noe, Jonathan Vos Post
core  

In‐vitro puncture experiment using alligator teeth tracks the formation of dental microwear and its association with hardness of the diet

open access: yesThe Anatomical Record, EarlyView.
Abstract With the development of dental microwear texture analysis (DMTA), there has been an increasing application of DMTA for dietary estimation in extant and fossil reptiles, including dinosaurs. While numerous feeding experiments exist for herbivorous mammals, knowledge remains limited for carnivorous reptiles. This study aimed to qualitatively and
K. Usami, M. O. Kubo
wiley   +1 more source

Some New Generalizations Of The Lucas Sequence

open access: yes, 2017
In this paper, we investigate the generalized Lucas, the generalized complex Lucas and the generalized dual Lucas sequence using the Lucas number. Also, we investigate special cases of these sequences. Furthermore, we give recurrence relations, vectors, the golden ratio and Binet’s formula for the generalized Lucas and the generalized dual Lucas ...
Torunbalcı Aydın, Fügen, Yüce, Salim
openaire   +2 more sources

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