Results 21 to 30 of about 2,363,857 (358)

Novel Results for Two Generalized Classes of Fibonacci and Lucas Polynomials and Their Uses in the Reduction of Some Radicals [PDF]

open access: yesMathematics, 2020
The goal of this study is to develop some new connection formulae between two generalized classes of Fibonacci and Lucas polynomials. Hypergeometric functions of the kind 2F1(z) are included in all connection coefficients for a specific z.
W. Abd-Elhameed   +2 more
semanticscholar   +1 more source

Primitive divisors of Lucas and Lehmer sequences [PDF]

open access: yes, 1995
Stewart reduced the problem of determining all Lucas and Lehmer sequences whose $n$-th element does not have a primitive divisor to solving certain Thue equations.
Par Paul M Voutier, Paul M. Voutier
core   +8 more sources

Vieta–Lucas polynomials for solving a fractional-order mathematical physics model

open access: yes, 2020
In this article, a fractional-order mathematical physics model, advection–dispersion equation (FADE), will be solved numerically through a new approximative technique. Shifted Vieta–Lucas orthogonal polynomials will be considered as the main base for the
P. Agarwal, A. A. El-Sayed
semanticscholar   +1 more source

Lucas Numbers Which Are Concatenations of Two Repdigits

open access: yesMathematics, 2020
In this paper, we find all Lucas numbers written in the form c⋯cd⋯d¯, where c⋯cd⋯d¯ is the concatenation of two repdigits in base 10 with c,d∈{0,1,⋯,9}, c≠d and c>0.
Yunyun Qu, Jiwen Zeng
semanticscholar   +1 more source

On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers

open access: yesAnnales Mathematicae Silesianae, 2019
The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider special kinds of hybrid numbers, namely the Jacobsthal and the Jacobsthal-Lucas hybrid numbers and we give some their properties.
A. Szynal-Liana, I. Włoch
semanticscholar   +1 more source

Lucas' theorem: its generalizations, extensions and applications (1878--2014) [PDF]

open access: yes, 2014
In 1878 \'E. Lucas proved a remarkable result which provides a simple way to compute the binomial coefficient ${n\choose m}$ modulo a prime $p$ in terms of the binomial coefficients of the base-$p$ digits of $n$ and $m$: {\it If $p$ is a prime, $n=n_0 ...
Meštrović, Romeo
core  

The Conditional Lucas & Kanade Algorithm

open access: yes, 2016
The Lucas & Kanade (LK) algorithm is the method of choice for efficient dense image and object alignment. The approach is efficient as it attempts to model the connection between appearance and geometric displacement through a linear relationship that ...
D Marr   +8 more
core   +1 more source

Diagnostic Utility of the ATG9A Ratio in AP‐4–Associated Hereditary Spastic Paraplegia

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Adaptor protein complex 4–associated hereditary spastic paraplegia (AP‐4‐HSP), a childhood‐onset neurogenetic disorder and frequent mimic of cerebral palsy, is caused by biallelic variants in the adaptor protein complex 4 (AP‐4) subunit genes (AP4B1 [for SPG47], AP4M1 [for SPG50], AP4E1 [for SPG51], and AP4S1 [for SPG52]).
Habibah A. P. Agianda   +12 more
wiley   +1 more source

Terapia fonoaudiológica intensiva e fissura de palato: relato de caso

open access: yesRevista CEFAC, 2013
A terapia intensiva tem sido relatada na literatura como uma opção de módulo inicial da terapia convencional, pois a medida que o paciente vai percebendo melhoras em sua fala, passa a ter maior envolvimento e comprometimento com a terapia.
Daiane Pontes de Melo   +3 more
doaj   +1 more source

Development of Protocol for Korean Lung Cancer Screening Project (K-LUCAS) to Evaluate Effectiveness and Feasibility to Implement National Cancer Screening Program

open access: yesCancer research and treatment : official journal of Korean Cancer Association, 2019
Purpose To reduce lung cancer mortality, lung cancer screening was recommended using low-dose computed tomography (LDCT) to high-risk population. A protocol for multicenter lung cancer screening pilot project was developed to evaluate the effectiveness ...
Jaeho Lee   +14 more
semanticscholar   +1 more source

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