Results 121 to 130 of about 145,594 (304)
Relationship between Vieta-Lucas polynomials and Lucas sequences
, 2022 Let $w_n=w_n(P,Q)$ be numerical sequences which satisfy the recursion relation \begin{equation*} w_{n+2}=Pw_{n+1}-Qw_n. \end{equation*} We consider two special cases $(w_0,w_1)=(0,1)$ and $(w_0,w_1)=(2,P)$ and we denote them by $U_n$ and $V_n$ respectively. Vieta-Lucas polynomial $V_n(X,1)$ is the polynomial of degree $n$.
openaire +2 more sources
The Anatomical Record, EarlyView.Abstract The complex evolutionary history behind modern mammalian chewing performance and hearing function is a result of several changes in the entire skeletomuscular system of the skull and lower jaw. Lately, exciting multifunctional 3D analytical methods and kinematic simulations of feeding functions in both modern and fossil mammals and their ...
Julia A. Schultz
wiley +1 more source
Human Mutation, Volume 43, Issue 12, Page 1970-1978, December 2022., 2022 Abstract Primary mitochondrial diseases are a group of genetically and clinically heterogeneous disorders resulting from oxidative phosphorylation (OXPHOS) defects. COX11 encodes a copper chaperone that participates in the assembly of complex IV and has not been previously linked to human disease. In a previous study, we identified that COX11 knockdown
Rocio Rius +15 more
wiley +1 more source
A dynamical property unique to the Lucas sequence [PDF]
Fibonnaci Quarterly, 39.5, November 2001, 398-402, 1999 The only recurrence sequence satisfying the Fibonacci recurrence and realizable as the number of periodic points of a map is (a multiple of) the Lucas sequence.
arxiv
The Anatomical Record, EarlyView.Abstract With the development of dental microwear texture analysis (DMTA), there has been an increasing application of DMTA for dietary estimation in extant and fossil reptiles, including dinosaurs. While numerous feeding experiments exist for herbivorous mammals, knowledge remains limited for carnivorous reptiles. This study aimed to qualitatively and
K. Usami, M. O. Kubo
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, 1998 The Lucas sequence is defined by: L0=2,L1=1,Ln=Ln−1+Ln−2 for n≥2. Let V(n), r(n) denote respectively the number of partitions of n into parts, distinct parts from {Ln}. We develop formulas that facilitate the computation of V(n) and r(n).
Neville Robbins
doaj +1 more source
Optimal Filter Estimation for Lucas-Kanade Optical Flow
Sensors, 2012 Optical flow algorithms offer a way to estimate motion from a sequence of images. The computation of optical flow plays a key-role in several computer vision applications, including motion detection and segmentation, frame interpolation, three ...
Remus Brad, Nusrat Sharmin
doaj +1 more source
Fibonacci and Lucas Sequences in Aperiodic Monotile Supertiles [PDF]
arXivThis paper first discusses the size and orientation of hat supertiles. Fibonacci and Lucas sequences, as well as a third integer sequence linearly related to the Lucas sequence are involved. The result is then generalized to any aperiodic tile in the hat family.
arxiv
Lucas' theorem: its generalizations, extensions and applications (1878--2014) [PDF]
arXiv, 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, $n=n_0+n_1p+\cdots +n_sp^s$ and $m=m_0+m_1p+\cdots +m_sp^s$ are the $p$-adic expansions of nonnegative ...
arxiv
A Note on Primality Testing Using Lucas Sequences [PDF]
, 1975 Michael A. Morrison
openalex +1 more source