Results 81 to 90 of about 248,402 (331)
On the complex factorization of the Lucas sequence
Applied Mathematics Letters, 2011 In this paper, firstly we present a connection between determinants of tridiagonal matrices and the Lucas sequence. Secondly, we obtain the complex factorization of Lucas sequence by considering how the Lucas sequence can be connected to Chebyshev polynomials by determinants of a sequence of matrices.
Durmuş Bozkurt +2 more
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Phase‐Change Materials for Volatile Threshold Resistive Switching and Neuronal Device Applications
Advanced Science, EarlyView.Volatile threshold switching materials are an important pathway to simulate neuronal behavior. This review summarizes recent advances in the development of volatile resistive switching devices and neuronal oscillators based on three representative phase change materials, emphasizes the major challenges in this rapidly evolving field, and provides an ...
Huandong Chen, Jayakanth Ravichandran
wiley +1 more source
AxiomsIn 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 class of Lucas-Lehmer polynomials [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2016 In this paper we introduce a new sequence of polynomials, which follow the same recursive rule of the well-known Lucas-Lehmer integer sequence. We show the most important properties of this sequence, relating them to the Chebyshev polynomials of the ...
Pierluigi Vellucci +1 more
doaj
On fourth-order jacobsthal quaternions
Journal of Mathematical Sciences and Modelling, 2018 In this paper, we present for the first time a sequence of quaternions of order 4 that we will call the fourth-order Jacobsthal and the fourth-order Jacobsthal-Lucas quaternions. In particular, we are interested in the generating function, Binet formula,
Gamaliel Cerda-morales
doaj +1 more source
Lucas Numbers and Cryptography [PDF]
, 2012 We know that the Fibonacci numbers are the numbers from Fibonacci sequence. It was discovered by Leonardo de Fibonacci de Pisa. The Fibonacci series was derived from the solution to a problem about rabbits.
Thokchom, Chhatrajit Singh
core
On Lucas Sequences Computation
Int'l J. of Communications, Network and System Sciences, 2010 This paper introduces an improvement to a currently published algorithm to compute both Lucas "sister" sequences Vk and Uk. The proposed algorithm uses Lucas sequence properties to improve the running time by about 20% over the algorithm published in [1].
openaire +2 more sources
Advanced Science, EarlyView.This work explores ion‐selective organic electrochemical transistors for real‐time, long‐term potassium monitoring in the xylem sap of living trees. This bioelectronic approach provides new insights into plant physiology and has the potential to revolutionize forest, agricultural, and ecological monitoring for smarter, more sustainable plant management.
Sanggil Han +9 more
wiley +1 more source
About special elements in quaternion algebras over finite fields
, 2016 In this paper we study special Fibonacci quaternions and special generalized Fibonacci-Lucas quaternions in quaternion algebras over finite fields.Comment: This is a preliminary form of the ...
Savin, Diana
core +1 more source
Geometrically Encoded Positioning of Introns, Intergenic Segments, and Exons in the Human Genome
Advanced Science, EarlyView.This study introduces a new hypothesis: exons, introns, and intergenic segments are non‐random projections of the functional layers of 3D structure of chromatin packing domains. Evidence is presented that this “geometric code” may encode volumetric structure, reconciling epigenetic patterns, correlates with oncogenic mutations, acting as a potential ...
Luay M. Almassalha +11 more
wiley +1 more source