Results 81 to 90 of about 10,580,440 (338)
q-Congruences, with applications to supercongruences and the cyclic sieving phenomenon
, 2019 We establish a supercongruence conjectured by Almkvist and Zudilin, by proving a corresponding $q$-supercongruence. Similar $q$-supercongruences are established for binomial coefficients and the Ap\'{e}ry numbers, by means of a general criterion ...
Gorodetsky, Ofir
core +1 more source
Advanced Engineering Materials, EarlyView.This article provides a comprehensive overview of fundamentals and recent advances of transparent thin‐film surface acoustic wave technologies on glass substrates for monitoring and prevention/elimination of fog, ice, and frost. Fogging, icing, or frosting on optical lenses, optics/photonics, windshields, vehicle/airplane windows, and solar panel ...
Hui Ling Ong +11 more
wiley +1 more source
The Third Order Jacobsthal Octonions: Some Combinatorial Properties
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 Various families of octonion number sequences (such as Fibonacci octonion, Pell octonion and Jacobsthal octonion) have been established by a number of authors in many di erent ways.
Cerda-Morales Gamaliel
doaj +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
On Pell, Pell-Lucas, and balancing numbers [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we derive some identities on Pell, Pell-Lucas, and balancing numbers and the relationships between them. We also deduce some formulas on the sums, divisibility properties, perfect squares, Pythagorean triples involving these numbers. Moreover, we obtain the set of positive integer solutions of some specific Pell equations in terms of the
openaire +4 more sources
Advanced Functional Materials, EarlyView.This research applies advanced laser beam shaping (LCoS‐SLM) to fabricate the Ti‐6Al‐4V alloy via laser powder bed fusion. A tailored beam is used to prevent martensite formation and create a dual α+β microstructure by controlling cooling rates.
Reza Esmaeilzadeh +8 more
wiley +1 more source
On the Intersections of Fibonacci, Pell, and Lucas Numbers [PDF]
Integers, 2011 AbstractWe describe how to compute the intersection of two Lucas sequences of the ...
openaire +4 more sources
Solusi Persamaan Diophantine Dengan Identitas Bilangan Fibonacci Dan Bilangan Lucas [PDF]
, 2017 In this paper we propose diophantine equations with the form and . These equations has integer solutions which can form Fibonacci numbers and Lucas numbers.
puspitasari, A. (Ayu) +2 more
core
Fast Neutron Detector Based on Hybrid 2D Perovskite Thin Films
Advanced Functional Materials, EarlyView.This work presents the direct detection of fast neutrons using flexible hybrid 2D perovskite (PEA2PbBr4) thin‐film detectors. Thanks to their high low‐Z elements content and good charge transport, these materials enable efficient neutron detection. The thin film configuration allowed the operation at low voltage, and offer scalability, flexibility, and
Ilaria Fratelli +11 more
wiley +1 more source
bioRxiv, 2018 Background Polymorphisms in the copy number of a genetic region can influence gene expression, coding sequence and zygosity, making them powerful actors in the evolutionary process.
E. Lucas +7 more
semanticscholar +1 more source