Results 91 to 100 of about 10,886,718 (351)

The terms in Lucas sequences divisible by their indices [PDF]

, 2009
For Lucas sequences of the first kind (u_n) and second kind (v_n) defined as usual for positive n by u_n=(a^n-b^n)/(a-b), v_n=a^n+b^n, where a and b are either integers or conjugate quadratic integers, we describe the set of indices n for which n divides
Smyth, Chris
core   +4 more sources

Novel 3D‐Printed Biophotonic Scaffold Displaying Luminescence under Near‐Infrared Light for Photopharmacological Activation and Biological Signaling Compound Release

Advanced Healthcare Materials, EarlyView.
Despite significant efforts in developing novel biomaterials to regenerate tissue, only a few of them have successfully reached clinical use. It has become clear that the next generation of biomaterials must be multifunctional. Smart biomaterials can respond to environmental or external stimuli, interact in a spatial‐temporal manner, and trigger ...
Sonya Ghanavati, Ekin Opar, Virginia Alessandra Gobbo, Carlo Matera, Fabio Riefolo, Rossella Castagna, Julien Colombelli, Andrew Draganski, Joshua Baggott, Mika Lastusaari, Pau Gorostiza, Laeticia Petit, Jonathan Massera   +12 more
wiley   +1 more source

Non-Newtonian Pell and Pell-Lucas numbers

Journal of New Results in Science
In the present paper, we introduce a new type of Pell and Pell-Lucas numbers in terms of non-Newtonian calculus, which we call non-Newtonian Pell and non-Newtonian Pell-Lucas numbers, respectively.
Tülay Yağmur
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

Mersenne Numbers: consolidated results [PDF]

, 1986
This document provides and comments on the results of the Lucas-Lehmer testing and/or partial factorisation of all Mersenne Numbers Mp = 2^p-1 where p is prime and less than 100,000. Previous computations have either been confirmed or corrected.
Haworth, Guy McCrossan, Holmes, Steve, Hunt, David, Lake, Tom, Reddaway, Stewart   +4 more
core  

Numerical solutions and simulations of the fractional COVID‐19 model via Pell–Lucas collocation algorithm

Mathematical methods in the applied sciences
The aim of this study is to present the evolution of COVID‐19 pandemic in Turkey. For this, the SIR (Susceptible, Infected, Removed) model with the fractional order derivative is employed. By applying the collocation method via the Pell–Lucas polynomials
Gamze Yıldırım, Ş. Yüzbaşı
semanticscholar   +1 more source

THz‐Driven Coherent Phonon Fingerprints of Hidden Symmetry Breaking in 2D Layered Hybrid Perovskites

Advanced Materials, EarlyView.
Intense THz pulses are employed to drive coherent phonons in 2D Ruddlesden‐Popper hybrid metal‐halide perovskites (HOIPs) from the (PEA)2(MA)n‐1PbnI3n+1 family, revealing mode‐selective spectroscopic signatures of inversion symmetry breaking in those nominally centrosymmetric materials. These findings provide a handle to decode nonlinear phonon driving
Joanna M. Urban, Michael S. Spencer, Maximilian Frenzel, Gaëlle Trippé‐Allard, Marie Cherasse, Charlotte Berrezueta‐Palacios, Prakriti P. Joshi, Alexander P. Fellows, Olga Minakova, Eduardo B. Barros, Luca Perfetti, Stephanie Reich, Martin Wolf, Emmanuelle Deleporte, Sebastian F. Maehrlein   +14 more
wiley   +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

Giant Berry‐phase‐Driven X‐Ray Beam Translations in Strain‐Engineered Semiconductor Crystals

Advanced Materials, EarlyView.
Due to the Berry‐phase effect, X‐rays propagating in deformed crystals undergo large translations, interesting for X‐ray optics applications. Here, the lattice expansion observed upon H irradiation of dilute‐nitride semiconductors is exploited to engineer the deformation landscape of selectively hydrogenated GaAsN epilayers.
Marco Felici, Giorgio Pettinari, Michela Fratini, Luisa Barba, Simone Birindelli, Gaetano Campi, Silvia Rubini, Tobias Schülli, Mario Capizzi, Antonio Polimeni   +9 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