Results 121 to 130 of about 90,394 (222)
Convolutions of the generalized Pell and Pell-Lucas numbers
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)
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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
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Advancing Systemic Risk Assessment for Complex, Interdependent Systems: A Research Agenda
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
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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
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
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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
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BTLE: Atomic swaps with time-lock puzzles
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
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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.
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Pell Form and Pell Equation via Oblong Numbers
2010 Mathematics Subject Classification: 11D09, 11D25, 11D41, 11D72, 11E16, 11E18.
Tekcan, Ahmet, Özkoç, Arzu
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On Mixed $b$-concatenations of Pell and Pell-Lucas Numbers which are Pell Numbers
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 ...
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