Results 41 to 50 of about 185 (126)

On Matrix‐Based Cryptography Using Matrix Norm and Special Integer Sequences

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT In this paper, a novel matrix‐based encryption approach based on the Affine Hill cipher is presented. The key matrix is constructed using the Narayana integer sequence, and the Frobenius norm of the key matrix is used as a scaling factor in the key construction.
Melih Göcen   +1 more
wiley   +1 more source

The h(x)-Fibonacci Quaternion Polynomials: Some Combinatorial Properties

open access: yes, 2016
In this paper we consider the h(x)-Fibonacci quaternion polynomials and present some properties involving these polynomials, including the exponential and Poisson generating ...
Catarino, Paula
core   +1 more source

New families of Fibonacci and Lucas octonions with $$Q-$$integer components

open access: yes, 2021
A number of families of quaternion and octonion number sequence such as (Fibonacci quaternion, Fibonacci octonion and so forth) have been studied by several authors in many different ways.
Can Kızılateş, Emrah Polatlı
core   +1 more source

Single‐Shot 2D Radial Echo Planar Imaging for Functional MRI

open access: yesMagnetic Resonance in Medicine, EarlyView.
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.
Christoph A. Rettenmeier   +4 more
wiley   +1 more source

On the (p,q)-fibonacci quaternion and octonion polynomials

open access: yes, 2021
Bu tez beş bölümden oluşmaktadır. Birinci bölümde giriş kısmına yer verilmiştir. İkinci bölümde, önbilgiler ve diğer bölümlerde kullanılacak olan temel tanım ve teoremler verilmiştir. Üçüncü bölümde, (p,q)-Fibonacci ve (p,q)-Lucas kuaterniyon polinomları
Porsuk, Ayhan
core  

k-ORDER FIBONACCI QUATERNIONS

open access: yesJournal of Science and Arts, 2021
In this paper, we define and study another interesting generalization of the Fibonacci quaternions is called k-order Fibonacci quaternions. Then we obtain for Fibonacci quaternions, for Tribonacci quaternions and for Tetranacci quaternions. We give generating function, the summation formula and some properties about k-order Fibonacci quaternions. Also,
Asci, Mustafa, Aydinyuz, Suleyman
openaire   +3 more sources

Dynamic sampling for SAXSTT: towards real‐time measurement adaptation

open access: yesJournal of Synchrotron Radiation, EarlyView.
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.
Sici Wang   +2 more
wiley   +1 more source

Fractional Fibonacci groups with an odd number of generators [PDF]

open access: yes, 2022
The Fibonacci groups F (n) are known to exhibit significantly different behaviour depending on the parity of n. We extend known results for F (n) for odd n to the family of Fractional Fibonacci groups F k/l(n).
Williams, Gerald, Chinyere, Ihechukwu
core   +1 more source

Renormalization techniques for inflation systems and some of their applications

open access: yesActa Crystallographica Section A, EarlyView.
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.
Michael Baake   +4 more
wiley   +1 more source

On Fibonacci and Lucas Vectors and Quaternions [PDF]

open access: yesUniversal Journal of Applied Mathematics, 2018
In this study, first we investigate the Fibonacci vectors, Lucas vectors and their vector products considering two Fibonacci vectors, two Lucas vectors and one of each vector. We give some theorems for the mentioned vector products and then we give the conditions for such vectors to be perpendicular or parallel.
Onur Kaya, Mehmet Önder
openaire   +1 more source

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