Results 11 to 20 of about 1,200,406 (213)

There are No Multiply-Perfect Fibonacci Numbers [PDF]

open access: yesIntegers, 2011
AbstractWe show that no Fibonacci number (larger than 1) divides the sum of its divisors.
Kevin A. Broughan   +5 more
openaire   +4 more sources

Curious Generalized Fibonacci Numbers

open access: yesMathematics, 2021
A generalization of the well-known Fibonacci sequence is the k−Fibonacci sequence whose first k terms are 0,…,0,1 and each term afterwards is the sum of the preceding k terms. In this paper, we find all k-Fibonacci numbers that are curious numbers (i.e.,
Jose L. Herrera   +2 more
doaj   +2 more sources

Some Inequalities for the Triangle Involving Fibonacci Numbers [PDF]

open access: yes, 2004
In this note classical inequalities and Fibonacci numbers are used to obtain some miscellaneous inequalities involving the elements of a ...
Díaz-Barrero, José Luis
core   +6 more sources

Dynamic sampling for SAXSTT: towards real-time measurement adaptation. [PDF]

open access: yesJ Synchrotron Radiat
A dynamic sampling strategy is presented to reduce the measurement time required for SAXS tensor tomography while maintaining reconstruction quality.Small‐angle X‐ray scattering tensor tomography (SAXSTT) is a powerful technique for non‐destructive 3D characterization of nanoscale structures by reconstructing q‐resolved reciprocal space maps.
Wang S, Nielsen LC, Liebi M.
europepmc   +2 more sources

Single-Shot 2D Radial Echo Planar Imaging for Functional MRI. [PDF]

open access: yesMagn Reson Med
ABSTRACT Purpose To develop a novel single‐shot radial echo planar imaging (ss‐rEPI) technique for rapid, distortion‐free brain imaging in functional MRI experiments. Methods Radial multi‐gradient echo (radial mGRE) data were acquired on a 3T clinical scanner using a 2D ss‐rEPI readout with small golden‐angle rotations between echoes.
Rettenmeier CA   +4 more
europepmc   +2 more sources

Counting the sum of cubes for Lucas and Gibonacci numbers

open access: yesScience and Technology Indonesia, 2019
Lucas and Gibonacci numbers are  two  sequences of numbers derived from a welknown numbers, Fibonacci numbers. The difference between Lucas and Fibonacci numbers only lies on the first and second elements.
Wamiliana Wamiliana   +2 more
doaj   +1 more source

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

Bernoulli F-polynomials and Fibo–Bernoulli matrices

open access: yesAdvances in Difference Equations, 2019
In this article, we define the Euler–Fibonacci numbers, polynomials and their exponential generating function. Several relations are established involving the Bernoulli F-polynomials, the Euler–Fibonacci numbers and the Euler–Fibonacci polynomials. A new
Semra Kuş, Naim Tuglu, Taekyun Kim
doaj   +1 more source

Generating Functions of the Products of Bivariate Complex Fibonacci Polynomials with Gaussian Numbers and Polynomials

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2020
In this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the ...
Boughaba Souhila   +2 more
doaj   +1 more source

A Study on Fibonacci and Lucas Bihypernomials

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2022
The bihyperbolic numbers are extension of hyperbolic numbers to four dimensions. In this paper we introduce and study the Fibonacci and Lucas bihypernomials, i.e., polynomials, which are a generalization of the bihyperbolic Fibonacci numbers and the ...
Szynal-Liana Anetta, Włoch Iwona
doaj   +1 more source

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