Results 11 to 20 of about 1,200,406 (213)
There are No Multiply-Perfect Fibonacci Numbers [PDF]
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
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]
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]
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]
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
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
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On Fibonacci (k,p)-Numbers and Their Interpretations
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
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Bernoulli F-polynomials and Fibo–Bernoulli matrices
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
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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
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A Study on Fibonacci and Lucas Bihypernomials
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
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