Results 71 to 80 of about 21,260 (290)

Large‐Scale Determination of Frontier Orbital Energies of Disordered Small‐Molecule Organic Semiconductors Using Exciplex Emission Spectra

Advanced Materials, EarlyView.
ABSTRACT Accurately knowing the frontier orbital energies of the structurally disordered small‐molecule organic semiconductors that are used in optoelectronic devices such as organic light‐emitting diodes is required to rationally improve their performance. Here, we show that these energies can be deduced with a large accuracy from the peak energies of
Christian B. McDonald, Hiroki Tomita, Giacomo Cotelli, Louka L. Brüll, Nanno G. de Rooij, Lucas R.L. Norg, Milo Clément, Reinder Coehoorn   +7 more
wiley   +1 more source

Second-order linear recurrences with identically distributed residues modulo pᵉ [PDF]

Notes on Number Theory and Discrete Mathematics
Let p be an odd prime and let u(a,-1) and u(a',-1) be two Lucas sequences whose discriminants have the same nonzero quadratic character modulo p and whose periods modulo p are equal.
Lawrence Somer, Michal Křížek
doaj   +1 more source

On the solutions of the equation p=x^2+y^2+1 in Lucas sequences

Wasit Journal for Pure Sciences, 2023
In 1970, Motohashi proved that there are an infinite number of primes having the form p=x^2+y^2+1 for some nonzero integers x and y. In this paper, we present a technique for studying the solutions of the equation p=x^2+y^2+1, where the unknowns are ...
Ali Sehen Athab, HAYDER R. HASHIM
doaj   +1 more source

From the Discovery of the Giant Magnetocaloric Effect to the Development of High‐Power‐Density Systems

Advanced Materials Technologies, EarlyView.
The article overviews past and current efforts on caloric materials and systems, highlighting the contributions of Ames National Laboratory to the field. Solid‐state caloric heat pumping is an innovative method that can be implemented in a wide range of cooling and heating applications.
Agata Czernuszewicz, Yaroslav Mudryk, Jun Cui, Lucas Griffith, Duane D. Johnson, Julie Slaughter   +5 more
wiley   +1 more source

Lucas non-Wieferich primes in arithmetic progressions and the abc conjecture

Open Mathematics, 2023
We prove the lower bound for the number of Lucas non-Wieferich primes in arithmetic progressions. More precisely, for any given integer k≥2k\ge 2, there are ≫logx\gg \hspace{0.25em}\log x Lucas non-Wieferich primes p≤xp\le x such that p≡±1(modk)p\equiv ...
Anitha K., Fathima I. Mumtaj, Vijayalakshmi A. R.   +2 more
doaj   +1 more source

Graphene‐Based Wearable Textile Triboelectric Nanogenerators and Biomechanical Sensors

Advanced Materials Technologies, EarlyView.
This study presents a wearable textile‐based triboelectric nanogenerator (T‐TENG) using sprayed graphene enhanced with a PVA adhesion layer. The graphene‐based electrode demonstrates high electrical conductivity and robustness to multiple bends. The fabricated T‐TENG provides stable and efficient output, with strong responsiveness to biomotion.
Hongyang Dang, Benji Fenech‐Salerno, Antonio Alessio Leonardi, Federico La Barbera, Felice Torrisi   +4 more
wiley   +1 more source

Mersenne Primes in Certain Lucas Sequences [PDF]

EPJ Web of Conferences
Prime numbers are the most important numbers in number theory and cryptography. One of such special primes are given by the set of Mersenne primes, that are derived from the form Mn = 2n − 1, where n is a prime number.
Hadi Ahmed H., Hashim Hayder R.
doaj   +1 more source

A method for computing Lucas sequences

, 1999
Most of public-key cryptosystems rely on one-way functions, which can be used to encrypt and sign messages. Their encryption and signature operations are based on the computation of exponentiation. Recently, some public-key cryptosystems are proposed and
Wang, Ching-Te, Chang, Chin-Chen, Lin, Chu-Hsing   +2 more
core   +1 more source

A Compact Incubation Platform for Long‐Term Cultivation of Biological Samples for Nitrogen‐Vacancy Center Widefield Microscopy

Advanced Materials Technologies, EarlyView.
A compact incubation platform enables long‐term cultivation of biological samples directly on diamond quantum sensors for NV widefield magnetometry. The 3D‐printed biocompatible chamber provides a temperature controlled, CO2${\rm CO}_2$ and humidity rich environment while accommodating total internal reflection excitation geometry.
Andre Pointner, Daniela Thalheim, Sarah Belasi, Lukas Heinen, Lucas R. Carnell, Christina Janko, Rainer Tietze, Christoph Alexiou, Regine Schneider‐Stock, Roland Nagy   +9 more
wiley   +1 more source

THE SQUARE TERMS IN GENERALIZED LUCAS SEQUENCES

Mathematika, 2013
Summary: Let \(P\) and \(Q\) be non-zero integers. The generalized Fibonacci sequence \(\{U_n\} \) and Lucas sequence \(\{V_n\}\) are defined by \(U_0 = 0\), \(U_1 = 1\) and \(U_{n+1} = PU_n + QU_{n-1}\) for \(n\geq 1\) and \(V_0 = 2\), \(V_1 = P\) and \(V_{n+1} = PV_n + QV_{n-1} \) for \(n\geq 1\), respectively.
Şiar, Zafer, Keskin, Refik
openaire   +4 more sources