Results 51 to 60 of about 30,143 (265)

Some Identities of Fibonacci and Lucas Quaternions by Quaternion Matrices

Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2019
In this paper, we consider one of the most knownFibonacci matrix Qand the Fibonacciquaternion matrix MQFn, where Qnis the n-th Fibonacci quaternion.In particular we define some new quaternion matrices.
Bahar Demirtürk Bitim
doaj   +1 more source

Self‐Assembling Peptide Hydrogels Support Stromal Vascular Fraction Viability to Promote In Vivo Nerve Regeneration

Advanced Healthcare Materials, EarlyView.
Stromal vascular fraction (SVF) may enhance nerve repair, especially when delivered in a self‐assembling peptide hydrogel (SAPH). In vitro, softer SAPH increased neuronal explant outgrowth and supported greater SVF viability and proliferation. In a rat sciatic defect, SVF in an optimized SAPH produced motor and sensory recovery equivalent to autograft ...
Liam A. McMorrow, Steffan Llewellyn, Jared McSweeney, Alessandro Faroni, Aline F. Miller, Alberto Saiani, Adam J. Reid   +6 more
wiley   +1 more source

Repdigits as difference of two Fibonacci or Lucas numbers

Математичні Студії, 2021
In the present study we investigate all repdigits which are expressed as a difference of two Fibonacci or Lucas numbers. We show that if $F_{n}-F_{m}$ is a repdigit, where $F_{n}$ denotes the $n$-th Fibonacci number, then $(n,m)\in \{(7,3),(9,1),(9,2 ...
P. Ray, K. Bhoi
doaj   +1 more source

A New 3D Colon on a Chip to Decipher the Influence of Mechanical Forces on the Physiological Cellular Ecosystem

Advanced Healthcare Materials, EarlyView.
To dissect how mechanical forces influence intestinal physiology, we developed a stretchable 3D colon‐on‐chip that integrates tunable topography, stiffness and peristalsis‐like motion within a physiologically relevant microenvironment. We showed that stretching is a dominant factor governing epithelial behavior, markedly enhancing proliferation and ...
Moencopi Bernheim‐Dennery, Lauriane Gérémie, Julie Brun, Lucas Chassatte, Giacomo Gropplero, Réda Bouras, Jieun Choo, Bertrand Cinquin, Alba Marcellan, Danijela Matic Vignjevic, Stéphanie Descroix   +10 more
wiley   +1 more source

A new approach to hyper dual numbers with tribonacci and tribonacci-Lucas numbers and their generalized summation formulas

Journal of Innovative Applied Mathematics and Computational Sciences
Motivated by the definition of Tribonacci quaternions, we define hyper-dual numbers whose components involve Tribonacci and Tribonacci-Lucas numbers. We refer to these new numbers as hyper-dual Tribonacci numbers and hyper-dual Tribonacci-Lucas numbers,
Ahmad Ali Mehrad, Mansoor Kakar Mirwais
doaj   +1 more source

POM‐Based Water Splitting Catalyst Under Acid Conditions Driven by Its Assembly on Carbon Nanotubes

Advanced Materials, EarlyView.
A newly‐engineered POM‐based electrocatalyst incorporating non‐innocent counter cations exhibits fast kinetics for either the OER or HER under strongly acidic conditions (1 m H2SO4), depending on whether it is assembled on carbon nanotubes (1@CNT) or physically mixed with them (1/CNT). In water‐splitting tests using a two‐electrode setup, these systems
Eugenia P. Quirós‐Díez, Melanie Guillén‐Soler, Carlos Herreros‐Lucas, Alejandro López‐Moreno, José Manuel Vila‐Fungueiriño, Antonio Luis Llamas‐Saiz, Karol Strutyński, Manuel Melle‐Franco, María del Carmen Giménez‐López   +8 more
wiley   +1 more source

Fibonacci or Lucas numbers that are products of two Lucas numbers or two Fibonacci numbers

, 2023
This contribution presents all possible solutions to the Diophantine equations $F_k=L_mL_n$ and $L_k=F_mF_n$. To be clear, Fibonacci numbers that are the product of two arbitrary Lucas numbers and Lucas numbers that are the product of two arbitrary Fibonacci numbers are determined herein.
Daşdemir, Ahmet, Emin, Ahmet
openaire   +2 more sources

Atomistic Mechanisms Triggered by Joule Heating Effects in Metallic Cu‐Bi Nanowires for Spintronics

Advanced Materials, EarlyView.
Bi doped metallic Cu nanowires are promising for spintronics thanks to the stabilization of a giant spin Hall effect. However, heat resulting from current injection forces Bi to leave solution, forcing segregation into monoatomic decorations which evolve into coherent crystalline aggregates.
Alejandra Guedeja‐Marrón, Juan Ignacio Beltrán, Matilde Saura‐Múzquiz, Paolo Perna, M. Carmen Muñoz, Lucas Pérez, Maria Varela   +6 more
wiley   +1 more source

Transformations of Pythagorean triples generated by generalized Fibonacci numbers [PDF]

Notes on Number Theory and Discrete Mathematics
We present matrices that transform Pythagorean triples arising from generalized Fibonacci sequences into other such triples. We also show that entries in the powers of such matrices can be expressed in terms of generalized Fibonacci sequences.
Jathan Austin
doaj   +1 more source

Breaking the 2‐nm Barrier in Hard Disk Drives Using Monolayer Amorphous Carbon Overcoats

Advanced Materials, EarlyView.
The rapid growth of AI has increased demand for large‐scale data storage, making HDDs indispensable in data centers. Increasing areal storage density is crucial, but limited by the traditional carbon overcoats (COC). Monolayer amorphous carbon (MAC) offers a superior alternative.
Hongji Zhang, Artem K. Grebenko, Dmitrii Litvinov, Wenwen Zheng, Konstantin V. Iakoubovskii, Sergey Y. Grebenchuk, Anna Makarova, Alexander Fedorov, Andrei Starkov, Carlo M. Orofeo, Denis V. Vyalikh, Mario Lanza, Maciej Koperski, Kostya S. Novoselov, Chee‐Tat Toh, Barbaros Ӧzyilmaz   +15 more
wiley   +1 more source