Results 91 to 100 of about 21,260 (290)

Powers in the Lucas sequence when the index is divisible by three

, 2011
In this paper the m-powers with m ≥ 2 included in the Lucas sequences when the index satisfies some conditions are ...
Rodrigo Hitos, Javier, López González, M. Dolores   +1 more
core  

A Dual‐Memory Ferroelectric Transistor Emulating Synaptic Metaplasticity for High‐Speed Reservoir Computing

Advanced Electronic Materials, EarlyView.
A CMOS‐compatible ferroelectric transistor harnesses the interplay between stable gate polarization memory and volatile non‐quasi‐static channel charge dynamics to emulate how biological synapses regulate their own plasticity. This brain‐inspired dual‐memory mechanism, realized in a single device, enables a physical reservoir computer that solves ...
Yifan Wang, Muhammad Sakib Shahriar, Salma Soliman, Noah Vaillancourt, Lance Fernandes, Andrea Padovani, Asif Islam Khan, Md Sakib Hasan, Raisul Islam   +8 more
wiley   +1 more source

Unraveling G‐Quadruplex and i‐Motif Coexistence Within a Double‐Stranded DNA

Angewandte Chemie, EarlyView.
The relative thermodynamic profiles of G‐quadruplex (G4), i‐Motif (iM), and the duplex counterpart tune the simultaneous G4 and iM formation within a double‐stranded (ds) DNA. ABSTRACT DNA can transiently fold into variable arrangements, which are expected to exploit regulatory functions. Guanine‐rich sequences can fold into G‐quadruplexes (G4s), while
Davide Auricchio, Michele Ghezzo, Uroš Zavrtanik, Luca Bertini, Valeria Libera, Riccardo Rigo, Jurij Lah, Claudia Sissi   +7 more
wiley   +2 more sources

High‐Sublimation‐Temperature Additives for Efficient Perovskite Solar Cells via Single‐Source Evaporation

Advanced Energy Materials, EarlyView.
The introduction of high‐sublimation‐temperature additives during the mechanosynthesis of FAPbI3 powders enables the single‐source evaporation of phase‐pure, additive‐free FAPbI3 thin films of high optoelectronic quality. The additive‐engineered deposition process yields photovoltaic devices with stabilized efficiencies exceeding 18% for an active ...
Zongbao Zhang, Ran Ji, Tim Schramm, Elena Siliavka, Chunqiu Zheng, Julius Brunner, Bekcy Joseph, Kashimul Hossain, Angelika Wrzesinska‐Lashkova, Vladimir Shilovskikh, Tianyu Zhao, Nathaniel P. Gallop, Boris Rivkin, Yana Vaynzof   +13 more
wiley   +1 more source

Discatenated and lacunary recurrences [PDF]

Notes on Number Theory and Discrete Mathematics
Recursive sequences with gaps have been studied previously. This paper considers some elementary properties of such sequences where the gaps have been created on a regular basis from sequence to sequence – ‘discatenated’ (systematic gaps) and ‘lacunary’
Hakan Akkuş, Ömür Deveci, Engin Özkan, Anthony G. Shannon   +3 more
doaj   +1 more source

On squares in Lucas sequences

Journal of Number Theory, 2007
Let P and Q be non-zero integers. The Lucas sequence U_n(P,Q) is defined by U_0=0, U_1=1, U_n= P*U_{n-1}-Q*U_{n-2} for n >1. The question of when U_n(P,Q) can be a perfect square has generated interest in the literature. We show that for n=2,...,7, U_n is a square for infinitely many pairs (P,Q) with gcd(P,Q)=1; further, for n=8,...,12, the only non-
Bremner, A., Tzanakis, N.
openaire   +3 more sources

High‐Speed Altitude Regulation With Neuromorphic Camera and Lightweight Embedded Computation

Advanced Intelligent Systems, EarlyView.
Neuromorphic cameras deliver rapid, high‐dynamic‐range sensing but overwhelm embedded processors at high speeds. This work presents a lightweight, optimized Lucas–Kanade optical flow method with parallelization, gyroscopic derotation, and adaptive event slicing.
Simon L. Jeger, Alessandro Marchei, Charbel Toumieh, Dario Floreano   +3 more
wiley   +1 more source

Optimize Before You Synthesize—Enhancing the Ionic Conductivity of Li7SiPS8 Using Bayesian Optimization

Angewandte Chemie, EarlyView.
Bayesian optimization was used to optimize the synthesis parameters of the solid electrolyte Li7SiPS8$\mathrm {Li}_7\mathrm {SiPS}_8$ in order to increase the ionic conductivity. After only 32 iterations, the ionic conductivity was successfully increased from 2 to 7 mS cm−1$\mathrm {cm}^{-1}$ at 25∘C$^\circ\mathrm {C}$, while synthesis temperature and ...
Lucas G. Balzat, Robert Calaminus, Yinghan Zhao, Kristina Gjorgjevikj, Igor Moudrakovski, Simon Krause, Arnd Koeppe, Britta Nestler, Bettina V. Lotsch   +8 more
wiley   +2 more sources

New Results on Negative-Indexed Pell Numbers via Matrix Methods

Cumhuriyet Science Journal
In this study, we investigate the Pell and Pell–Lucas numbers sequences and construct matrices whose elements are defined using negative indices of these sequences through Binet’s formula. Identities involving negative-indexed Pell and Pell–Lucas numbers
İbrahim Gökcan, Ümmügülsün Çağlayan, Ali Hikmet Değer   +2 more
doaj   +1 more source

Pollard RHO algorithm implemented to Discrete Log with Lucas sequences

, 2016
The Diffie - Hellman problem may be used securely over the multiplicative group F*p, (Z/nZ)* and the group of rational points on an elliptic curve over a finite field. These groups involve large key sizes or expensive arithmetic operations. In the paper [
, P. Anuradha Kameswari, T. Surendra
core   +1 more source