Results 101 to 110 of about 31,545 (292)
On Diophantine equations involving Lucas sequences
Open Mathematics, 2019 In this paper, we shall study the Diophantine equation un = R(m)P(m)Q(m), where un is a Lucas sequence and R, P and Q are polynomials (under weak assumptions).
Trojovský Pavel
doaj +1 more source
On some identities for the DGC Leonardo sequence [PDF]
Notes on Number Theory and Discrete MathematicsIn this study, we examine the Leonardo sequence with dual-generalized complex (DGC) coefficients for 𝔭∈ℝ. Firstly, we express some summation formulas related to the DGC Fibonacci, DGC Lucas, and DGC Leonardo sequences.
Çiğdem Zeynep Yılmaz +1 more
doaj +1 more source
Some algebraic and topological properties of new lucas difference sequence spaces [PDF]
, 2018 Karakas¸ and Karabudak [22], introduced the Lucas sequence spaces X(E) and studied their some properties. The main purpose of this study is to introduce the Lucas difference sequence spaces c0(Lˆ, ?) and c(Lˆ, ?) by using the Lucas sequence.
Ellidokuzoğlu, Hacer Bilgin +1 more
core
American Journal of Botany, EarlyView.Abstract Premise The species‐rich flora of Tropical Andes underwent multiple rapid and recent diversifications, yet resolving their evolutionary histories remains challenging despite increasing phylogenomic data. Here, we examined phylogenomic conflict in Brachyotum (Melastomataceae) to identify sources preventing its resolution.
Diego Paredes‐Burneo +5 more
wiley +1 more source
The 9th International RASopathies Symposium
American Journal of Medical Genetics Part A, EarlyView.ABSTRACT The RASopathies are a group of congenital disorders with overlapping clinical manifestations that are caused by pathogenic germline or early somatic variants that result in the hyperactivation of the RAS/mitogen‐activated protein kinase (MAPK) signaling pathway.
Pau Castel +41 more
wiley +1 more source
A Graph-Theoretic Encoding of Lucas Sequences
The Fibonacci Quarterly, 2015 Some well-known results of Prodinger and Tichy are that the number of independent sets in the $n$-vertex path graph is $F_{n+2}$, and that the number of independent sets in the $n$-vertex cycle graph is $L_n$. We generalize these results by introducing new classes of graphs whose independent set structures encode the Lucas sequences of both the first ...
Alexander, James, Hearding, Paul
openaire +2 more sources
The Politics of Framing the Student Problem: Inquiries Into Australian Civics Education, 2006–2024
Australian Journal of Social Issues, EarlyView.ABSTRACT Recurring debates about civics, the kinds of history that should, and should not, be taught in school, and ‘standards debates’ about the ‘basics’ typically follow on the heels of recurring moral panics about the ‘declining’ state of ‘our’ education system.
Patrick O'Keeffe +2 more
wiley +1 more source
A Hybrid Matrix-Based Cryptographic Framework Using Multiple Linear Recurrence Sequences
MathematicsIn this study, we propose a matrix-based transformation framework constructed from special integer sequences, including Fibonacci, Lucas, Pell, and Jacobsthal numbers.
Sukran Uygun
doaj +1 more source
QUARTIC EL-GAMAL ENCRYPTION SCHEME BASED ON LUCAS SEQUENCE
, 2020 This study focuses on developing a secure and efficient method of encryption and decryption of plaintext. The El-Gamal cryptosystem scheme based on the fourth and sixth order Lucas sequence, known as LUC(4,6)ELG, is developed.
IZZATUL NABILA BT SARBINI, IZZATUL NABILA
core
AI‐Driven Mapping of Seizure Spread Patterns
Annals of Neurology, EarlyView.Objective The focus of epilepsy research has largely been on seizure onset; however, physicians typically examine the patterns of seizure spread past seizure onset as well. This study aims to align automated seizure analysis with clinical practice, leverage deep learning to standardize seizure annotations that varies among physicians, and understand ...
Andrew Y. Revell +13 more
wiley +1 more source