Results 121 to 130 of about 90,394 (222)

Convolutions of the generalized Pell and Pell-Lucas numbers

open access: yesFilomat, 2016
We consider the convolution of the generalized Pell numbers-P(s) n,m and the convolution of the generalized Pell-Lucas numbers-Q(s) n,m. For s = 0, the sequence P(0) n,m represents the generalized Pell numbers Pn;m, and the sequence Q(0) n,m represents the generalized Pell-Lucas numbers Qn,m ([1], [2]). For m = 2 and s = 0, the numbers P(0)
openaire   +1 more source

‘I Don't Know What's Right and What's Wrong’: Parent Perceptions of Support and Progress of Their Children With Handwriting Difficulties

open access: yesLiteracy, Volume 60, Issue 2, May 2026.
ABSTRACT For some students, handwriting difficulties persist from primary to secondary school. The aim of this study was to understand parents' perceptions of their child's experience with handwriting and typing. Fifteen parents of children attending secondary schools in England participated in semistructured interviews.
F. Tierney   +3 more
wiley   +1 more source

Advancing Systemic Risk Assessment for Complex, Interdependent Systems: A Research Agenda

open access: yesRisk Analysis, Volume 46, Issue 5, May 2026.
ABSTRACT Engineering risk assessment has traditionally focused on direct impacts to individual assets or systems. However, as society's most notable risks increasingly stem from complex, interdependent systems, conventional methods fail to capture the cascading consequences and deepening uncertainty. Addressing this gap requires developing or extending
Tom Logan   +9 more
wiley   +1 more source

Examining Anti-Poverty Programs to Address Student’s Unmet Basic Needs at Texas Hispanic-Serving Institutions over the Course of the COVID-19 Pandemic

open access: yesTrends in Higher Education
Many post-secondary institutions have implemented anti-poverty programs to address students’ basic needs insecurities. This study examined the provision of 17 types of basic needs programs at Texas Hispanic-serving institutions over the course of the ...
Lisa K. Zottarelli   +3 more
doaj   +1 more source

Horadam–Lucas Cubes

open access: yesAxioms
In 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

College on the Margins: A Comprehensive Case Study of Three College-in-Prison Programs in the Southern United States

open access: yesBehavioral Sciences
Research has well documented the far-reaching benefits of providing educational opportunities for individuals who are incarcerated, applicable to the students themselves and society. Given the many benefits, it is encouraging that access to U.S.
Haruna Suzuki, John C. Begeny
doaj   +1 more source

BTLE: Atomic swaps with time-lock puzzles

open access: yesJournal of Mathematical Cryptology
We present BTLE (Broadcast Time-Lock Exchange Protocol), a two-step protocol that aims to decentralize exchange of funds between two blockchains in scenarios similar to online exchanges. BTLE leverages time-lock puzzles to achieve that.
Barbara Fadi   +3 more
doaj   +1 more source

On k-Pell hybrid numbers

open access: yesJournal of Discrete Mathematical Sciences and Cryptography, 2019
AbstractThe aim of this work is to introduce a new sequence of numbers called k-Pell hybrid numbers and the presentation of some algebraic properties involving this sequence.
openaire   +2 more sources

Pell Form and Pell Equation via Oblong Numbers

open access: yes, 2013
2010 Mathematics Subject Classification: 11D09, 11D25, 11D41, 11D72, 11E16, 11E18.
Tekcan, Ahmet, Özkoç, Arzu
openaire   +2 more sources

On Mixed $b$-concatenations of Pell and Pell-Lucas Numbers which are Pell Numbers

open access: yesMathematica Pannonica
Let $(P_n)_{n\ge 0}$ and $(Q_n )_{n\ge 0}$ be the Pell and Pell-Lucas sequences. Let $b$ be a positive integer such that $b\ge 2.$ In this paper, we prove that the following two Diophantine equations $P_{n}=b^{d}P_{m}+Q_{k}$ and $P_{n}=b^{d}Q_{m}+P_{k}$ with $d,$ the number of digits of $P_k$ or $Q_k$ in base $b,$ have only finitely many solutions in ...
openaire  

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