Results 11 to 20 of about 1,568,779 (275)

The quaternionic Gauss-Lucas Theorem [PDF]

open access: yes, 2016
The classic Gauss-Lucas Theorem for complex polynomials of degree $d\ge2$ has a natural reformulation over quaternions, obtained via rotation around the real axis. We prove that such a reformulation is true only for $d=2$.
Ghiloni, Riccardo, Perotti, Alessandro
core   +3 more sources

On the intersections of Fibonacci, Pell, and Lucas numbers [PDF]

open access: yes, 2010
We describe how to compute the intersection of two Lucas sequences of the forms $\{U_n(P,\pm 1) \}_{n=0}^{\infty}$ or $\{V_n(P,\pm 1) \}_{n=0}^{\infty}$ with $P\in\mathbb{Z}$ that includes sequences of Fibonacci, Pell, Lucas, and Lucas-Pell numbers.
Bilu   +13 more
core   +2 more sources

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

Fibonacci-Lucas SIC-POVMs

open access: yes, 2017
We present a conjectured family of SIC-POVMs which have an additional symmetry group whose size is growing with the dimension. The symmetry group is related to Fibonacci numbers, while the dimension is related to Lucas numbers.
Grassl, Markus, Scott, Andrew J.
core   +1 more source

Tribonacci and Tribonacci-Lucas Sedenions

open access: yes, 2018
The sedenions form a 16-dimensional Cayley-Dickson algebra. In this paper, we introduce the Tribonacci and Tribonacci-Lucas sedenions. Furthermore, we present some properties of these sedenions and derive relationships between them.Comment: 17 pages, 1 ...
Soykan, Yüksel
core   +1 more source

The skills required for transition to university and study in biological sciences: A student perspective

open access: yesFEBS Open Bio, EarlyView.
Bioscience students were asked for their opinions on the value and teaching of skills. 204 responded that teamwork, time management and study skills are necessary to reach University, that scientific writing, research, laboratory and presentation skills are taught effectively during their studies, while other skills are gained inherently through study ...
Janella Borrell, Susan Crennell
wiley   +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

Cracking the Code: Genotype–Phenotype Correlation Models in Sarcoglycanopathies

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Sarcoglycanopathies are among the most severe limb‐girdle muscular dystrophies (LGMD), though milder presentations have been described. These diseases are primarily caused by missense variants, but the limited predictability of their effect on protein maturation, complex formation, and transport has hindered reliable genotype ...
Leonela Luce   +72 more
wiley   +1 more source

Trajectories of Physical Function in Canadian Children with Juvenile Idiopathic Arthritis

open access: yesArthritis Care &Research, Accepted Article.
Objectives We describe trajectories of physical function in children newly diagnosed with juvenile idiopathic arthritis (JIA) and identify trajectories with persisting functional impairments and associated baseline characteristics. Methods We included patients enrolled in the Canadian Alliance of Pediatric Rheumatology Investigators (CAPRI) Registry ...
Clare Cunningham   +14 more
wiley   +1 more source

La interpretación del «relato» en la doble obra lucana

open access: yesEstudios Eclesiásticos, 2020
El objetivo del artículo es tomar parte en el actual debate exegético en torno a la doble obra lucana como relato, en el marco más amplio del estudio narrativo de los Evangelios y del libro de los Hechos de los Apóstoles.
Agustín del Agua
doaj  

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