Results 91 to 100 of about 10,580,440 (338)

Linear forms in Lucas numbers

open access: yesIndagationes Mathematicae, 1993
AbstractIf (um)m∈N0 denotes a Lucas sequence, i.e. a binary integer recurrence sequence with initial values u0=0 and u1=1, then the equation kum=lun with k,l∈Z⧹{0} and max{m,n}≥5 can be valid only for finitely many Lucas sequences with coprime roots and finitely many indices m,n∈N, which can - both - be effectively bounded. This yields lower bounds for
openaire   +2 more sources

Unassisted Photoelectrochemical Hydrogen Production Coupled with Selective Glucose Oxidation Using Metal Halide Perovskite Photoanodes

open access: yesAdvanced Functional Materials, EarlyView.
A metal halide perovskite‐based photoanode integrated with a CoNiFe layered double hydroxide (LDH) cocatalyst is reported for selective glucose oxidation reaction (GOR), achieving simultaneous and unassisted photoelectrochemical hydrogen production. This system delivers high photocurrent density, excellent Faradaic efficiency of GOR, and strong techno ...
Shujie Zhou   +12 more
wiley   +1 more source

On $k$-Fibonacci balancing and $k$-Fibonacci Lucas-balancing numbers

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
The balancing number $n$ and the balancer $r$ are solution of the Diophantine equation $$1+2+\cdots+(n-1) = (n+1)+(n+2)+\cdots+(n+r). $$ It is well known that if $n$ is balancing number, then $8n^2 + 1$ is a perfect square and its positive square root is
S.E. Rihane
doaj   +1 more source

Reconfigurable Three‐Dimensional Superconducting Nanoarchitectures

open access: yesAdvanced Functional Materials, EarlyView.
3D superconducting nanostructures offer new possibilities for emergent physical phenomena. However, fabricating complex geometries remains challenging. Here 3D nanoprinting of complex 3D superconducting nanoarchitectures is established. As well as propagating superconducting vortices in 3D, anisotropic superconducting properties with geometric ...
Elina Zhakina   +11 more
wiley   +1 more source

Horadam–Lucas Cubes

open access: yesAxioms
In this paper, we introduce a novel class of graphs referred to as the Horadam–Lucas cubes. This class extends the concept of Lucas cubes and retains numerous desirable properties associated with them.
Elif Tan   +2 more
doaj   +1 more source

The Efficacy of LUCAS in Prehospital Cardiac Arrest Scenarios: A Crossover Mannequin Study [PDF]

open access: yesWestern Journal of Emergency Medicine, 2017
Introduction: High-quality cardiopulmonary resuscitation (CPR) is critical for successful cardiac arrest outcomes. Mechanical devices may improve CPR quality.
Robert A. Gyory   +3 more
doaj   +1 more source

Additive‐Driven Phase Control for Stable and Efficient CsPbI₃ Solar Cells Via Ambient Low‐Temperature Processing

open access: yesAdvanced Functional Materials, EarlyView.
CsPbI₃ perovskite solar cells face stability issues due to high annealing temperatures and moisture. Butylammonium acetate (BAAc) enables stable phase formation at 160°C in ambient laboratory conditions, enhancing efficiency and stability, achieving 18.6% PCE, and maintaining over 81% efficiency after 1,000 hours of maximum power point tracking under 1
Narendra Pai   +10 more
wiley   +1 more source

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

open access: yesMATEC 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

Mersenne Numbers: consolidated results [PDF]

open access: yes, 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   +4 more
core  

Bioengineering a Patient‐Derived Vascularized Lung Tumor‐on‐Chip Model to Decipher Immunomodulation by the Endothelium

open access: yesAdvanced Healthcare Materials, EarlyView.
Most in vitro cancer models lack cellular diversity, functional complexity, and clinical relevance. This work highlights the generation of an innovative dynamic tetraculture with autologous patient‐derived cells within a vascularized tumor‐on‐chip, as well as the recapitulation of endothelial anergy features induced by the tumor microenvironment ...
Christine Lansche   +16 more
wiley   +1 more source

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