Results 71 to 80 of about 255,828 (280)
Powers in the Lucas sequence when the index is divisible by three [PDF]
, 2011 In this paper the m-powers with m ≥ 2 included in the Lucas sequences when the index satisfies some conditions are ...
López González, M. Dolores +1 more
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About special elements in quaternion algebras over finite fields
, 2016 In this paper we study special Fibonacci quaternions and special generalized Fibonacci-Lucas quaternions in quaternion algebras over finite fields.Comment: This is a preliminary form of the ...
Savin, Diana
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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 $n$.
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Material‐Induced Nuclear Deformation Controls Chromatin Architecture in Adipose Stem Cells
Advanced Science, EarlyView.Tuning cell and cytoskeleton mechanics modulated nuclear shape and heterochromatin organization in ASCs. Distinct cytoskeletal architectures induced nuclear morphologies from oblate to prolate ellipsoids. Large elongated cells with a structured actin cap exhibited high nuclear strain, driving nuclear envelope deformation and heterochromatin ...
Carlo F. Natale +6 more
wiley +1 more source
AxiomsIn this paper, we introduce a novel class of graphs referred to as the Horadam–Lucas cubes. This class extends the concept of Lucas cubes and retains numerous desirable properties associated with them.
Elif Tan +2 more
doaj +1 more source
The Square Terms in Lucas Sequences
Journal of Number Theory, 1996 Let \(P\) and \(Q\) be relatively prime odd integers and define the sequences \(\{U_n\}\) and \(\{V_n\}\) by \(U_n = PU_{n - 1} - QU_{n - 2}\) with \(U_0 = 0\), \(U_1 = 1\) and \(V_n = PV_{n - 1} - QV_{n - 2}\) with \(V_0 = 2\), \(V_1 = P\). The main results of the paper are the following. (i) If \(V_n\) is a square, then \(n = 1,3\) or 5.
Ribenboim, Paulo, McDaniel, Wayne L.
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Advanced Science, EarlyView.Itch‐induced tick removal (IITR): An acquired neuroimmune mechanism, itch‐induced tick removal, develops after repeated tick exposure, mobilizing T cells and macrophages at the tick bite site to trigger a rapid scratching response that facilitates timely tick removal within a critical window that precedes the transmission of many tick‐borne pathogens ...
Johannes S. P. Doehl +27 more
wiley +1 more source
A Matrix Approach for Divisibility Properties of the Generalized Fibonacci Sequence
Discrete Dynamics in Nature and Society, 2013 We give divisibility properties of the generalized Fibonacci sequence by matrix methods. We also present new recursive identities for the generalized Fibonacci and Lucas sequences.
Aynur Yalçiner
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Inherently Disordered Auxetic Metamaterials
Advanced Science, EarlyView.Inherently disordered auxetic metamaterials based on random chiral Delaunay triangulations are designed and investigated using numerical simulations and experimental tests. These disordered frameworks exhibit orthotropic behavior and a large negative Poisson's ratio (ca.
Matteo Montanari +3 more
wiley +1 more source
Gessel–Lucas congruences for sporadic sequences
Monatshefte für Mathematik, 2023 17 ...
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