Results 41 to 50 of about 24,521 (128)

k-ORDER FIBONACCI QUATERNIONS

Journal 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

Conformational ensembles of the disordered 4E‐BP2:eIF4E complex restrained by smFRET experiments

Protein Science, Volume 35, Issue 10, October 2026.
Abstract Eukaryotic cap‐dependent translation initiation is regulated by binding of the predominantly folded eukaryotic initiation factor 4E (eIF4E) to the intrinsically disordered eIF4E binding proteins (4E‐BPs). Here, we report full‐length atomistic conformational ensembles generated by IDPConformerGenerator and optimized by X‐EISDv2 workflow for ...
Spencer Smyth, Zi Hao Liu, Thomas E. Tsangaris, Teresa Head‐Gordon, Julie D. Forman‐Kay, Claudiu C. Gradinaru   +5 more
wiley   +1 more source

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

Magnetic Resonance in Medicine, Volume 96, Issue 3, Page 1245-1260, September 2026.
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, Zidan Yu, Krystalyn Edwards‐Calma, Kai Tobias Block, V. Andrew Stenger   +4 more
wiley   +1 more source

A Triple‐Nanoparticle System for Controlled Graphene Nanosheet Stacking: Enabling K/Na‐Ion Battery Anodes with Ultra‐Fast Charging Exceeding Petroleum Vehicle Refueling

Advanced Science, Volume 13, Issue 44, 7 August 2026.
ABSTRACT Large‐ion (K, Na) battery systems mitigate uneven global lithium distribution, while their ability to attain recharge time shorter than refueling would remove the final barrier for secondary batteries to replace petroleum vehicles. However, their large‐ion chemistry makes ultra‐fast charging an even significant challenge.
Shukai Ding, Le Zhang, Hang Li, Yang Zhang, Guoquan Suo, Bin Han, Dongfeng Sun, Wenqi Zhao, Gaohui Du, Qingmei Su, Bingshe Xu, Zhen Xu, Wei Wang   +12 more
wiley   +1 more source

Properties of Generalized Bronze Fibonacci Sequences and Their Hyperbolic Quaternions

Axioms
In this study, we establish some properties of Bronze Fibonacci and Bronze Lucas sequences. Then we find the relationships between the roots of the characteristic equation of these sequences with these sequences.
Engin Özkan, Hakan Akkuş, Alkan Özkan
doaj   +1 more source

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

Mathematische Nachrichten, Volume 299, Issue 8, Page 2087-2102, August 2026.
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, Sümeyye Hacer Büyükakyol   +1 more
wiley   +1 more source

On Fibonacci and Lucas Vectors and Quaternions [PDF]

Universal 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

Embodied Responses to Harmony and (Poly)Rhythm: An Integrated Ratio‐Based Perception‐Action Framework

Annals of the New York Academy of Sciences, Volume 1562, Issue 1, August 2026.
Harmony and rhythm perception are often studied separately, yet both reveal a shared sensitivity to low‐order integer ratios. In harmony, intervals like the octave (2:1) and fifth (3:2) predict consonance and ease of encoding. In rhythm, patterns with simple ratios (e.g., 2:1, 3:2) are easier to perceive, reproduce, and remember.
Nicola Di Stefano, Edward Large, Charles Spence   +2 more
wiley   +1 more source

Safety, Tolerability, and Pharmacokinetics of GMDTC for Cadmium Poisoning: A Randomized Phase 1a/1b Trial

Clinical Pharmacology &Therapeutics, Volume 120, Issue 1, Page 160-167, July 2026.
Cadmium exposure causes serious health consequences; however, there is no clinically approved antidote for cadmium poisoning. This Phase 1a/1b trial aimed to investigate safety, tolerability, and pharmacokinetics of Sodium (S)‐2‐(dithiocarboxylato((2S,3R,4R,5R)‐2,3,4,5,6‐pentahydroxyhexyl) amino)‐4‐(methylthio) butanoate (GMDTC), a novel chelating ...
Xuefeng Ren, Wei Hu, Xiaobin Deng, Rong Ma, Fang Pei, Xushen Chen, Xuemei Wang, Jixin Tang, Yan Lai, Shangming Pan, Zhiyong Zhong, Sheng Fu, Huamin Yuan, Juan Yuan, Chuntao Huang, Yuan Zeng, Xiaodong Ying, Guanghui Dong, Jinxin Zhang, Jinyuan Zhao, Kangguang Lin, Xiaojiang Tang   +21 more
wiley   +1 more source

Copper ratio obtained by generalizing the Fibonacci sequence

AIP Advances
In this study, we define a new generalization of the Fibonacci sequence that gives the copper ratio, and we will call it the copper Fibonacci sequence. In addition, inspired by the copper Fibonacci definition, we also define copper Lucas sequences, and ...
Engin Özkan, Hakan Akkuş
doaj   +1 more source