Results 51 to 60 of about 908 (146)

Pole‐To‐Pole 3D Radial Trajectory Designs Improve Image Quality and Quantitative Parametric Mapping in the Brain and Heart

Magnetic Resonance in Medicine, Volume 95, Issue 5, Page 2627-2643, May 2026.
ABSTRACT Purpose To design 3D radial spiral phyllotaxis trajectories aimed at removing phase inconsistencies, improving image quality, and enhancing parametric mapping accuracy by acquiring nearly opposing spokes starting from both hemispheres in 3D radial k‐space. Methods Two 3D radial trajectories, pole‐to‐pole and continuous spiral phyllotaxis, were
Eva S. Peper, Grzegorz Bauman, Matteo Tagliabue, Berk C. Açikgöz, Nils M. J. Plähn, Adèle L. C. Mackowiak, Yasaman Safarkhanlo, Joseph G. Woods, Davide Piccini, Li Feng, Christopher W. Roy, Oliver Bieri, Jessica A. M. Bastiaansen   +12 more
wiley   +1 more source

Applications of some special numbers obtained from a difference equation of degree three

, 2017
In this paper we present applications of some special numbers obtained from a difference equation of degree three, especially in the Coding Theory. As a particular case, we obtain the generalized Pell-Fibonacci-Lucas numbers, which were extended to the ...
Flaut, Cristina, Savin, Diana
core   +1 more source

Traces of Hecke operators on Drinfeld modular forms for GL2(Fq[T])$\operatorname{GL}_2(\mathbb {F}_q[T])$

Mathematika, Volume 72, Issue 2, April 2026.
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley   +1 more source

Geometrical approach to SU(2) navigation with Fibonacci anyons

, 2008
Topological quantum computation with Fibonacci anyons relies on the possibility of efficiently generating unitary transformations upon pseudoparticles braiding. The crucial fact that such set of braids has a dense image in the unitary operations space is
, Coxeter H S M, Kitaev A Y, Mosseri R, Nielsen M A, Rigetti C, Rémy Mosseri, Sadoc J-F, Sadoc J-F, Sadoc J-F, Sarma S D Freedman M Nayak C Simon S H Stern A   +10 more
core   +1 more source

Zarankiewicz bounds from distal regularity lemma

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract Since Kővári, Sós and Turán proved upper bounds for the Zarankiewicz problem in 1954, much work has been undertaken to improve these bounds, and some have done so by restricting to particular classes of graphs. In 2017, Fox, Pach, Sheffer, Suk and Zahl proved better bounds for semialgebraic binary relations, and this work was extended by Do in
Mervyn Tong
wiley   +1 more source

Tribonacci and Tribonacci-Lucas Sedenions

, 2018
The sedenions form a 16-dimensional Cayley-Dickson algebra. In this paper, we introduce the Tribonacci and Tribonacci-Lucas sedenions. Furthermore, we present some properties of these sedenions and derive relationships between them.Comment: 17 pages, 1 ...
Soykan, Yüksel
core   +1 more source

Bidiagonal Decompositions and Accurate Computations for the Ballot Table and the Fibonacci Matrix

Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.
ABSTRACT Riordan arrays include many important examples of matrices. Here we consider the ballot table and the Fibonacci matrix. For finite truncations of these Riordan arrays, we obtain bidiagonal decompositions. Using them, algorithms to solve key linear algebra problems for ballot tables and Fibonacci matrices with high relative accuracy are derived.
Jorge Ballarín, Jorge Delgado, J. M. Peña   +2 more
wiley   +1 more source

Hyper-Dual Leonardo Quaternions

Journal of New Theory
In this paper, hyper-dual Leonardo quaternions are defined and studied. Some basic properties of the hyper-dual Leonardo quaternions, including their relationships with the hyper-dual Fibonacci quaternions and hyper-dual Lucas quaternions, are analyzed ...
Tülay Yağmur
doaj   +1 more source

Quadratic Approximation of Generalized Tribonacci Sequences

, 2018
In this paper, we give quadratic approximation of generalized Tribonacci sequence $\{V_{n}\}_{n\geq0}$ defined by Eq. (\ref{eq:7}) and use this result to give the matrix form of the $n$-th power of a companion matrix of $\{V_{n}\}_{n\geq0}$.
Cerda-Morales, Gamaliel
core   +1 more source

Micromagnetic Constraints on the Grain Size Dependence and Magnetic Stability of Sub‐Micron Monoclinic Pyrrhotite (Fe7S8)

Journal of Geophysical Research: Solid Earth, Volume 131, Issue 2, February 2026.
Abstract We present the first micromagnetic simulations for sub‐micron monoclinic 4C pyrrhotite (Fe7S8 ${\text{Fe}}_{7}{\mathrm{S}}_{8}$), a common mineral in rocks and sediments and an important mineral in paleomagnetic studies. Previous experimental studies on the magnetic properties of pyrrhotite had limited control over granulometry and focused ...
Wyn Williams, Adrian R. Muxworthy, Ualisson Donardelli Bellon, Lesleis Nagy, Alison A. Cowan, Miguel A. Valdez‐Grijalva, Andrew P. Roberts   +6 more
wiley   +1 more source