Results 61 to 70 of about 21,260 (290)

On the discriminator of Lucas sequences [PDF]

Annales mathématiques du Québec, 2018
We consider the family of Lucas sequences uniquely determined by $U_{n+2}(k)=(4k+2)U_{n+1}(k) -U_n(k),$ with initial values $U_0(k)=0$ and $U_1(k)=1$ and $k\ge 1$ an arbitrary integer. For any integer $n\ge 1$ the discriminator function $\mathcal{D}_k(n)$ of $U_n(k)$ is defined as the smallest integer $m$ such that $U_0(k),U_1(k),\ldots,U_{n-1}(k)$ are
Faye, Bernadette, Luca, Florian, Moree, Pieter   +2 more
openaire   +3 more sources

Electroencephalographic Normalization as a Biomarker of Clinical Recovery in Down Syndrome Regression Disorder

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Down syndrome regression disorder is a syndrome characterized by subacute loss of cognitive, behavioral, and functional abilities in individuals with Down syndrome. Electroencephalography abnormalities are frequently observed during evaluation, but it remains unclear whether these findings represent a dynamic marker of disease ...
Jonathan D. Santoro, Mackenzie Silverman, Maeve C. Lucas, Mariam M. Yousuf, Samuel T. Otey, Stella V. Gray, Brittany Jordan, Madeline D. Kahan, Latanya D. Agurs, Michelle Van Hirtum Das, Deborah Holder, Devin King, Eileen A. Quinn, Ryan Kammeyer, Michael S. Rafii   +14 more
wiley   +1 more source

Discordance Between Patient and Physician Global Assessments in Early Systemic Sclerosis

Arthritis Care &Research, EarlyView.
Objective This study aims to identify factors associated with patient global assessment (PtGA) and physician global assessment (PhGA) and discordance between them in systemic sclerosis (SSc). Methods Data from adults with early SSc (<5 years) from the Collaborative National Quality and Efficacy Registry were included.
Ellen Romich, Alexis Ogdie, Alisa Stephens Shields, Peter A. Merkel, Shervin Assassi, Elana J. Bernstein, Andreea Bujor, Flavia V. Castelino, Lorinda Chung, Luke B. Evnin, Tracy M. Frech, Jessica K. Gordon, Melissa Griffith, Faye N. Hant, Monica L. Harding, Laura K. Hummers, Dinesh Khanna, Kimberly S. Lakin, Dorota J. Lebiedz‐Odrobina, Yiming Luo, Ashima Makol, Maureen D. Mayes, Zsuzsanna H. McMahan, Jerry Molitor, Duncan F. Moore, Julie Paik, Carrie Richardson, Brian Skaug, Ami A. Shah, Ankoor Shah, Virginia Steen, John M. VanBuren, Elizabeth R. Volkmann, Carleigh Zahn, Nora Sandorfi, for the CONQUER Investigators   +35 more
wiley   +1 more source

Copper ratio obtained by generalizing the Fibonacci sequence

AIP Advances
In this study, we define a new generalization of the Fibonacci sequence that gives the copper ratio, and we will call it the copper Fibonacci sequence. In addition, inspired by the copper Fibonacci definition, we also define copper Lucas sequences, and ...
Engin Özkan, Hakan Akkuş
doaj   +1 more source

A Study on the k-Mersenne and k-Mersenne-Lucas Sequences

Universal Journal of Mathematics and Applications
In this study, we examine an application of $k-$Mersenne and $k-$Mersenne-Lucas sequences. We present the Catalan transforms of these sequences and give the properties of these Catalan transforms. Catalan transforms of $k-$Mersenne and $k-$Mersenne-Lucas
Mine Uysal, Hakan Akkuş, Bayram Şen, Engin Özkan   +3 more
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

New summation identities of hyperbolic k-Fibonacci and k-Lucas quaternions [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we introduce a set of identities involving hyperbolic k-Fibonacci quaternions and k-Lucas quaternions. Moreover, we derive summation identities for hyperbolic k-Fibonacci and k-Lucas quaternions by utilizing established properties of k ...
A. D. Godase
doaj   +1 more source

Fagnano's method for solving algebraic equations: Its historical overview and development

Учёные записки Казанского университета: Серия Физико-математические науки, 2021
In 1750, Giulio Carlo Fagnano dei Toschi's treatise “Produzioni matematiche” was published in two volumes. The second volume of the treatise contains a work in which Fagnano proposed a uniform method for solving algebraic equations up to the fourth ...
A.N. Abyzov
doaj   +1 more source

Assembling a True “Olympic Gel” From over 16 000 Combinatorial DNA Rings

Advanced Materials, EarlyView.
Olympic gels are an elusive class of soft matter, consisting of molecular networks held together purely by mechanically interlocked rings. Their topological structure promises unique properties and functions, but their synthesis has proven notoriously difficult.
Sarah K. Speed, Yu‐Hsuan Peng, Azra Atabay, Krishna Gupta, Toni Müller, Carolin Fischer, Ilka M. Hermes, Jens‐Uwe Sommer, Michael Lang, Elisha Krieg   +9 more
wiley   +1 more source

The Third Order Jacobsthal Octonions: Some Combinatorial Properties

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
Various families of octonion number sequences (such as Fibonacci octonion, Pell octonion and Jacobsthal octonion) have been established by a number of authors in many di erent ways.
Cerda-Morales Gamaliel
doaj   +1 more source