Results 21 to 30 of about 539,081 (207)

Les expérimentations d'Alfred Binet

open access: yes, 2023
Loig Le Sonn vient de faire paraitre un livre issu de sa thèse de doctorat soutenue sous la supervision de Bernard Andrieu, sous le titre Domestiquer le corps social aux Presses universitaires Septentrion.
Alfred Binet
core   +1 more source

On Hybrid Hyper k-Pell, k-Pell–Lucas, and Modified k-Pell Numbers

open access: yesAxioms, 2023
Many different number systems have been the topic of research. One of the recently studied number systems is that of hybrid numbers, which are generalizations of other number systems.
Elen Viviani Pereira Spreafico   +2 more
doaj   +1 more source

The Horadam Hybrid Numbers

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2018
In this paper we introduce the Horadam hybrid numbers and give some their properties: Binet formula, character and generating function.
Szynal-Liana Anetta
doaj   +1 more source

The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence

open access: yesHittite Journal of Science and Engineering, 2016
In this study, a new generalization of the usual Jacobsthal sequence is presented, which is called the generalized Jacobsthal Binet formula, the generating functions and the combinatorial representations of the generalized Jacobsthal p-sequence are ...
Ahmet Daşdemir
doaj   +1 more source

An Elementary Proof of the Generalization of the Binet Formula for $k$-bonacci Numbers

open access: yesCoRR, 2022
We present an elementary proof of the generalization of the $k$-bonacci Binet formula, a closed form calculation of the $k$-bonacci numbers using the roots of the characteristic polynomial of the $k$-bonacci recursion.
Harold R. Parks, Dean C. Wills
openaire   +2 more sources

On the Bicomplex Generalized Tribonacci Quaternions

open access: yesMathematics, 2019
In this paper, we introduce the bicomplex generalized tribonacci quaternions. Furthermore, Binet’s formula, generating functions, and the summation formula for this type of quaternion are given. Lastly, as an application, we present the determinant
Can Kızılateş   +2 more
doaj   +1 more source

Theory of Binet formulas for Fibonacci and Lucas p-numbers

open access: yesChaos, Solitons & Fractals, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stakhov, Alexey, Rozin, Boris
  +10 more sources

A simplified Binet formula for k-generalized Fibonacci numbers

open access: yesJ. Integer Seq., 2009
We present a particularly nice Binet-style formula that can be used to produce the k-generalized Fibonacci numbers (that is, the Tribonaccis, Tetranaccis, etc). Furthermore, we show that in fact one needs only take the integer closest to the first term of this Binet-style formula to generate the desired sequence.
Gregory P. B. Dresden, Zhaohui Du
openaire   +4 more sources

Optical properties of null geodesics emerging from dynamical systems

open access: yesEuropean Physical Journal C: Particles and Fields, 2022
We study optical metrics via null geodesics as a central force system, deduce the related Binet equation and apply the analysis to certain solutions of Einstein’s equations with and without spherical symmetry.
D. Batic, S. Chanda, P. Guha
doaj   +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

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