Results 61 to 70 of about 626,146 (282)

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

A New Threshold Switching Device With Tunable Negative Differential Resistance Based on ErMnO3 Polymorphs

Advanced Functional Materials, EarlyView.
Polymorph engineering in ErMnO3 enables low‐voltage, forming‐free threshold switching with tunable negative differential resistance. Conducting orthorhombic regions embedded in an insulating hexagonal matrix provide controlled Joule‐heating‐enhanced Poole–Frenkel transport. The hexagonal phase prevents excessive heating and breakdown.
Rong Wu, Florian Maudet, Thanh Luan Phan, Wassim Hamouda, Richard Schroedter, Ahmet Samil Demirkol, Ronald Tetzlaff, Veeresh Deshpande, Catherine Dubourdieu   +8 more
wiley   +1 more source

A Note on Two Fundamental Recursive Sequences

Annales Mathematicae Silesianae, 2021
In this note, we establish some general results for two fundamental recursive sequences that are the basis of many well-known recursive sequences, as the Fibonacci sequence, Lucas sequence, Pell sequence, Pell-Lucas sequence, etc.
Farhadian Reza, Jakimczuk Rafael
doaj   +1 more source

Enhanced Li‐Ion Battery Performance with Hybrid MXene/GnR Electrodes: Heterojunctions and Engineered Architectures Supported by DFT Mechanistic Studies for Improved Rate Performance, Stability & Capacity

Advanced Functional Materials, EarlyView.
Lithium‐ion batteries (LIBs) remain central to energy storage but suffer from slow ion transport and degradation. Here, we present a binder‐free Ti3C2Tx MXene/GnR hybrid electrode with a porous 3D architecture formed via freeze casting. The structure enhances conductivity, ion transport, and stability, delivering 401 mAh/g, ∼97% efficiency, and 92 ...
Sara Mohseni Taromsari, Meysam Salari, Dipali Nayak, Saeed Habibpour, Ling Wei Hwang, Cristopher Carreiro, Carlos M. Da Silva, Aiping Yu, Chul B. Park, Cristina H. Amon, Hani E. Naguib   +10 more
wiley   +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

Some Identities and Generating Functions for Bidimensional Balancing and Cobalancing Sequences

Universal Journal of Mathematics and Applications
This article studies the bidimensional versions of four number sequences: balancing, Lucas-balancing, Lucas-cobalancing and cobalancing. Some of the identities and generating functions were presented.
María Victoria Otero Espinar, Paula Maria Machado Cruz Catarino, José Chimpanzo   +2 more
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

Some properties of the generalized (p,q)- Fibonacci-Like number

MATEC Web of Conferences, 2018
For the real world problems, we use some knowledge for explain or solving them. For example, some mathematicians study the basic concept of the generalized Fibonacci sequence and Lucas sequence which are the (p,q) – Fibonacci sequence and the (p,q ...
Suvarnamani Alongkot
doaj   +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

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