Results 1 to 10 of about 879,292 (211)

Generalization of the Distance Fibonacci Sequences

Axioms
In this study, we introduced a generalization of distance Fibonacci sequences and investigate some of its basic properties. We then proposed a generalization of distance Fibonacci sequences for negative integers and investigated some basic properties.
Nur Seyma Yilmaz, Andrzej Wloch, Engin Özkan   +2 more
doaj   +5 more sources

Fibonacci sequences in groupoids [PDF]

Advances in Difference Equations, 2012
Abstract In this article, we consider several properties of Fibonacci sequences in arbitrary groupoids (i.e., binary systems). Such sequences can be defined in a left-hand way and a right-hand way. Thus, it becomes a question of interest to decide when these two ways are equivalent, i.e., when they produce the same sequence for the same ...
Han, Jeong Soon, Kim, Hee Sik, Neggers, Joseph   +2 more
openaire   +4 more sources

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

J 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

Accelerations of Generalized Fibonacci Sequences [PDF]

The Fibonacci Quarterly, 2011
In this paper we study how to accelerate the convergence of the ratios (x_n) of generalized Fibonacci sequences. In particular, we provide recurrent formulas in order to generate subsequences (x_{g_n}) for every linear recurrent sequence (g_n) of order 2.
Marco Abrate, Stefano Barbero, CERRUTI, Umberto, MURRU, NADIR   +3 more
openaire   +5 more sources

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

Magn 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, Yu Z, Edwards-Calma K, Block KT, Stenger VA.   +4 more
europepmc   +2 more sources

Renormalization techniques for inflation systems and some of their applications. [PDF]

Acta Crystallogr A Found Adv
In this work, renormalization methods for quantities related to the diffraction of inflation systems are surveyed.Exact renormalization techniques are important and powerful, particularly for inflation‐generated systems. We review recent results in this direction.
Baake M, Gähler F, Klick A, Mañibo N, Mazáč J.   +4 more
europepmc   +2 more sources

Generalized Fibonacci sequences in groupoids [PDF]

Advances in Difference Equations, 2013
Abstract In this paper, we introduce the notion of generalized Fibonacci sequences over a groupoid and discuss it in particular for the case where the groupoid contains idempotents and pre-idempotents. Using the notion of Smarandache-type P-algebra, we obtain several relations on groupoids which are derived from generalized Fibonacci ...
Kim, Hee, Neggers, J, So, Keum
openaire   +3 more sources

LINEARLIZATION OF GENERALIZED FIBONACCI SEQUENCES [PDF]

Korean Journal of Mathematics, 2014
Summary: In this paper, we give linearization of generalized Fibonacci sequences \(\{g_n\}\) and \(\{q_n\}\), respectively, defined by Gupta et al. and Edson et al. and use this result to give the matrix form of the \(n\)-th power of a companion matrix of \(\{g_n\}\) and \(\{q_n\}\). Then we re-prove the Cassini's identity for \(\{g_n\}\) and \(\{q_n\}\
Jang, Young Ho, Jun, Sang Pyo
exaly   +3 more sources

On the sequences of $(q,k)$-generalized Fibonacci numbers [PDF]

Mathematica Bohemica
We consider a new family of recurrence sequences, the $(q,k)$-generalized Fibonacci numbers. These sequences naturally extend the well-known sequences of $k$-generalized Fibonacci numbers and generalized $k$-order Pell numbers.
Jean Lelis, Gersica Freitas, Alessandra Kreutz, Elaine Silva   +3 more
doaj   +3 more sources

The quaternion-type cyclic-Fibonacci sequences in groups [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
In this paper, we define the six different quaternion-type cyclic-Fibonacci sequences and present some properties, such as, the Cassini formula and generating function. Then, we study quaternion-type cyclic-Fibonacci sequences modulo m.
Nazmiye Yilmaz, Esra Kırmızı Çetinalp, Ömür Deveci   +2 more
doaj   +1 more source