Results 21 to 30 of about 2,325,608 (312)

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

Mersenne Lucas numbers and complete homogeneous symmetric functions

open access: yes, 2021
In this paper, we first introduce new definition of Mersenne Lucas numbers sequence as, for n > 2, mn = 3mn−1 − 2mn−2 with the initial conditions m0 = 2 and m1 = 3.
N. Saba   +2 more
semanticscholar   +1 more source

Almost balancers, almost cobalancers, almost Lucas-balancers and almost Lucas-cobalancers [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2023
In this work, the general terms of almost balancers, almost cobalancers, almost Lucas-balancers and almost Lucas-cobalancers of first and second type are determined in terms of balancing and Lucas-balancing numbers.
Ahmet Tekcan, Esra Zeynep Türkmen
doaj   +1 more source

Algorithms for representing positive odd integers as the sum of arithmetic progressions [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
This paper delves into the historical and recent developments in this area of mathematical inquiry, tracing the evolution from Wheatstone's representation of powers of an integer as sums of arithmetic progressions to extensions of Sylvester's Theorem ...
Peter J.-S. Shiue   +4 more
doaj   +1 more source

Behçet Disease

open access: yesJournal of the Belgian Society of Radiology, 2022
Teaching Point: Although Behçet disease is a multisystemic and chronic vasculitis, it can be superimposed with a variety of acute vasculitis.
Kelly Di Dier   +2 more
doaj   +1 more source

Soil Organic Carbon Mapping Using LUCAS Topsoil Database and Sentinel-2 Data: An Approach to Reduce Soil Moisture and Crop Residue Effects

open access: yesRemote Sensing, 2019
Soil organic carbon (SOC) loss is one of the main causes of soil degradation in croplands. Thus, spatial and temporal monitoring of SOC is extremely important, both from the environmental and economic perspective.
F. Castaldi   +3 more
semanticscholar   +1 more source

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

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

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  

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

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