Results 41 to 50 of about 25,534 (310)

Geometric Aspects of Lucas Sequences, I

Tokyo Journal of Mathematics, 2020
From the text: ``We present a way of viewing Lucas sequences in the framework of group scheme theory. This enables us to treat the Lucas sequences from a geometric and functorial viewpoint, which was suggested by \textit{R. R. Laxton} [Duke Math. J. 36, 721--736 (1969; Zbl 0226.10010)] ] and by \textit{M. Aoki} and \textit{Y. Sakai} [Rocky Mt. J. Math.
openaire   +5 more sources

ON PERFECT POWERS IN LUCAS SEQUENCES [PDF]

International Journal of Number Theory, 2005
Let (un)n≥0be the binary recurrence sequence of integers given by u0= 0, u1= 1 and un+2= 2(un+1+ un). We show that the only positive perfect powers in this sequence are u1= 1 and u4= 16. We further discuss the problem of determining perfect powers in Lucas sequences in general.
Bugeaud, Yann, Luca, Florian, Mignotte, Maurice, Siksek, Samir   +3 more
openaire   +1 more source

Use of a Molecular Signature Response Classifier to Inform Treatment Selection Improves Clinical Disease Activity Among Patients with Rheumatoid Arthritis Initiating a Biologic or Targeted Synthetic Disease‐modifying Antirheumatic Drug

Arthritis Care &Research, Accepted Article.
Objective We assessed the effectiveness of PrismRA to improve clinical outcomes among patients with rheumatoid arthritis (RA) initiating treatment with a biologic or targeted synthetic disease‐modifying antirheumatic drug (b/tsDMARD) Methods PrismRA incorporated 19 gene expression features and 4 clinical features to assess a patient's likelihood of ...
Fenglong Xie, Timothy Beukelman, Nicholas P McCormick, Jeffrey R Curtis   +3 more
wiley   +1 more source

Exact divisibility by powers of the integers in the Lucas sequences of the first and second kinds

AIMS Mathematics, 2021
Lucas sequences of the first and second kinds are, respectively, the integer sequences $ (U_n)_{n\geq0} $ and $ (V_n)_{n\geq0} $ depending on parameters $ a, b\in\mathbb{Z} $ and defined by the recurrence relations $ U_0 = 0 $, $ U_1 = 1 $, and $ U_n ...
Kritkhajohn Onphaeng, Prapanpong Pongsriiam   +1 more
doaj   +1 more source

CO2 Reduction on Copper‐Nitrogen‐Doped Carbon Catalysts Tuned by Pulsed Potential Electrolysis: Effect of Pulse Potential

Advanced Functional Materials, EarlyView.
This study demonstrates that pulsed potential electrolysis significantly improves CO2 reduction performance on copper‐nitrogen doped carbon electrodes. The formation of cationic copper sites and metallic clusters as a function of applied intermittent potential leads to notable selectivity changes compared to potentiostatic reduction.
Dorottya Hursán, Janis Timoshenko, Andrea Martini, Hyo Sang Jeon, Eduardo Ortega, Martina Rüscher, Arno Bergmann, Aram Yoon, Uta Hejral, Antonia Herzog, Clara Rettenmaier, Felix T. Haase, Philipp Grosse, Beatriz Roldan Cuenya   +13 more
wiley   +1 more source

Cell Calcification Models and Their Implications for Medicine and Biomaterial Research

Advanced Healthcare Materials, EarlyView.
Calcification, is the process by which the tissues containing minerals are formed, occurring during normal physiological processes, or in pathological conditions. Here, it is aimed to give a comprehensive overview of the range of cell models available, and the approaches taken by these models, highlighting when and how methodological divergences arise,
Luke Hunter, Caterina Vanelli Coralli, Robert Dzhanaev, Aaron Morgan, Willi Jahnen‐Dechent, Sergio Bertazzo   +5 more
wiley   +1 more source

Magic numbers in the music of Sofia Gubaidulina [PDF]

Muzikologija, 2002
Sofia Gubaidulina's compositions are characterized by a special kind of symbolism and constructivism both based on numbers, i.e. mathematical proportions. In almost all her works so-called numerical plots can be detected. The proportions of the Fibonacci
Tsenova Valeria
doaj   +1 more source

Self‐Assembling Peptide Hydrogels Support Stromal Vascular Fraction Viability to Promote In Vivo Nerve Regeneration

Advanced Healthcare Materials, EarlyView.
Stromal vascular fraction (SVF) may enhance nerve repair, especially when delivered in a self‐assembling peptide hydrogel (SAPH). In vitro, softer SAPH increased neuronal explant outgrowth and supported greater SVF viability and proliferation. In a rat sciatic defect, SVF in an optimized SAPH produced motor and sensory recovery equivalent to autograft ...
Liam A. McMorrow, Steffan Llewellyn, Jared McSweeney, Alessandro Faroni, Aline F. Miller, Alberto Saiani, Adam J. Reid   +6 more
wiley   +1 more source

Complete solutions of the simultaneous Pell's equations $ (a^2+2)x^2-y^2 = 2 $ and $ x^2-bz^2 = 1 $

AIMS Mathematics, 2023
In this paper, we consider the simultaneous Pell equations $ (a^2+2)x^2-y^2 = 2 $ and $ x^2-bz^2 = 1 $ where $ a $ is a positive integer and $ b > 1 $ is squarefree and has at most three prime divisors.
Cencen Dou, Jiagui Luo
doaj   +1 more source

Atomistic Mechanisms Triggered by Joule Heating Effects in Metallic Cu‐Bi Nanowires for Spintronics

Advanced Materials, EarlyView.
Bi doped metallic Cu nanowires are promising for spintronics thanks to the stabilization of a giant spin Hall effect. However, heat resulting from current injection forces Bi to leave solution, forcing segregation into monoatomic decorations which evolve into coherent crystalline aggregates.
Alejandra Guedeja‐Marrón, Juan Ignacio Beltrán, Matilde Saura‐Múzquiz, Paolo Perna, M. Carmen Muñoz, Lucas Pérez, Maria Varela   +6 more
wiley   +1 more source