Results 91 to 100 of about 17,245 (264)

The Generalized Order-k Lucas Sequences in Finite Groups

open access: yesJournal of Applied Mathematics, 2012
We study the generalized order-k Lucas sequences modulo m. Also, we define the ith generalized order-k Lucas orbit lAi,{α1,α2,…,αk-1}(G) with respect to the generating set A and the constants α1,α2, and αk-1 for a finite group G=〈A〉.
Ömür Deveci, Erdal Karaduman
doaj   +1 more source

Almost repdigits in balancing and Lucas-balancing sequences [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
In this paper, we define the notion of almost repdigit as a positive integer whose digits are all equal except for at most one digit, and we search all terms of the balancing and Lucas-balancing sequences which are almost repdigits.
Manasi K. Sahukar, Hussain Basha
doaj   +1 more source

Effect of Time to Start of Biologic Therapy on Treatment Response in Childhood Arthritis: Results From the UCAN CAN‐DU Cohort

open access: yesArthritis &Rheumatology, EarlyView.
Objective To estimate the effect of time from symptom onset to start of biologic treatment on achieving inactive arthritis within six months in a cohort of patients with juvenile idiopathic arthritis (JIA). Methods The international UCAN CAN‐DU study prospectively enrolled patients with JIA across Canada and the Netherlands.
Jelleke B. de Jonge   +102 more
wiley   +1 more source

Impact of evolving treatment patterns on interstitial lung disease progression in systemic sclerosis using the EUSTAR database

open access: yesArthritis &Rheumatology, Accepted Article.
Background The treatment landscape for systemic sclerosis‐associated interstitial lung disease (SSc‐ILD) has evolved with increasing immunosuppressive (IST) and anti‐fibrotic therapies available. However, their real‐world use remains unclear. Objectives To analyze treatment trends and the effect of IST and anti‐fibrotic therapies on ILD progression ...
Corrado Campochiaro   +17 more
wiley   +1 more source

Fibonacci Cartan and Lucas Cartan numbers

open access: yesOpen Mathematics
This study introduces Fibonacci Cartan and Lucas Cartan numbers, extending the classical Fibonacci and Lucas sequences into the framework of Cartan numbers.
Öztürk İskender, Çakır Hasan
doaj   +1 more source

Inosine triphosphate pyrophosphatase activity as a potential predictor of methotrexate remission in juvenile idiopathic arthritis

open access: yesArthritis &Rheumatology, Accepted Article.
Background Methotrexate (MTX) is the first‐line therapy for juvenile idiopathic arthritis (JIA), but up to 40% of patients don't respond. Low inosine‐triphosphate‐pyrophosphatase (ITPA) activity has been associated with reduced clinical remission. We investigated ITPA role and the underlying mechanisms in vitro.
Sofia Sindici Forgiarini   +19 more
wiley   +1 more source

Insights from meta‐analysis for efficient docosahexaenoic acid production in thraustochytrids through advanced cultivation and fermentation strategies

open access: yesBiofuels, Bioproducts and Biorefining, EarlyView.
Abstract This systematic review examines strategies for docosahexaenoic acid (DHA) production by thraustochytrids, focusing on cultivation techniques, fermentation technologies, and carbon/nitrogen optimization to increase productivity. Among 169 eligible articles, the 100 most productive studies (0.7–10.3 g DHA L−1 per day) were analyzed. Quantitative
Jhiovana Cristielly Carrera Silva da Costa   +6 more
wiley   +1 more source

Values of Lucas Sequences Modulo Primes

open access: yesRocky Mountain Journal of Mathematics, 2003
Let \(F_n\) denote the Fibonacci numbers. It is very easy to show that primes \(p \neq 5\) divide \(F_{p \pm 1}\), but finding the correct sign involves a piece of quadratic reciprocity. \textit{M. Ward} [Pac. J. Math. 11, 379--386 (1961; Zbl 0112.26904)] has observed that the question which primes divide \(F_{(p \pm 1)/k}\) for \(k = 2, 3, 4 \ldots ...
openaire   +3 more sources

A pipeline crisis or a sustainability crisis? Local and national succession planning for headteachers in England

open access: yesBritish Educational Research Journal, EarlyView.
Abstract Recruiting and retaining school leaders is a challenge in many systems worldwide. Previous research has identified three distinct ways in which succession planning can be conceptualised and approached: a ‘pipeline’ approach seeks to match supply and demand for the posts that need filling; a ‘pool’ strategy involves proactively identifying and ...
Toby Greany   +3 more
wiley   +1 more source

Form flows function: Learner‐centered game Re‐design in a STEM classroom

open access: yesBritish Educational Research Journal, EarlyView.
Abstract Re‐designing games facilitates interest‐driven learning and immerses learners in systems thinking. However, there are limited studies exploring how the form and function of tabletop games influence learners' design decisions and learning experiences. To address this gap, we conducted a mixed‐methods study in a STEM classroom in western Canada.
Farzan Baradaran Rahimi   +2 more
wiley   +1 more source

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