Results 41 to 50 of about 11,331 (154)

Split Quaternionic Representations of Horadam Sequences and Their Binet, Generating Function, and Cassini‐Type Identities

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This study establishes a novel algebraic connection between Horadam numbers and the split quaternion algebra. To this end, two fundamental constructs are introduced: the Fibonacci Sq,r‐split quaternions and the Horadam sq,r‐split quaternions, which generalize Horadam numbers within the framework of split quaternions.
İskender Öztürk   +2 more
wiley   +1 more source

Fishing shapes cetacean population density patterns in the Mediterranean basin

open access: yesEcography, Volume 2025, Issue 12, December 2025.
Human impacts are forcing species towards marginal and suboptimal portions of their historical ranges. Cetaceans are now under protection, but are still threatened by fishing activities, which reduce fish stocks, alter their feeding behavior, and can cause mortality due to bycatch.
Davide Fundaro'   +2 more
wiley   +1 more source

Hybrid convolutions on Pell and Lucas polynomials [PDF]

open access: yesDiscrete Mathematics Letters, 2021
Dongwei Guo, Wenchang Chu
doaj   +1 more source

Serendipity or strategy? The college housing search and inequality

open access: yesSociological Forum, Volume 40, Issue 4, Page 481-496, December 2025.
Abstract Housing arrangements provide the foundation for social life and interaction in college. However, we know little about how students locate housing opportunities. This study contributes to the literature on housing, search strategies, and class inequality during college by examining how students search for housing.
Virginia Riel, Olivia G. Ball
wiley   +1 more source

On the Domain of the Pell-Lucas Matrix in the Spaces c and c_0

open access: yesDera Natung Government College Research Journal
In this study, we introduce new Banach sequence spaces $c(\Theta), c_0(\Theta)$, defined via a regular infinite matrix $ \Theta = (\lambda_{nk})$, where \[ \Theta_{nk} = \begin{cases} \dfrac{2\lambda_k}{3\lambda_n+\lambda_{n-1}} & 0 \leq k \leq n ...
Shiva Shah
doaj   +1 more source

Repdigits as Products of Consecutive Pell or Pell–Lucas Numbers

open access: yesIranian Journal of Mathematical Sciences and Informatics
Summary: A positive integer is called a repdigit if it has only one distinct digit in its decimal expansion. In this paper, we find all repdigits that are products of consecutive Pell or Pell-Lucas numbers. This paper continues previous work which dealt with finding occurrences of repdigits in the Pell and Pell-Lucas sequences.
Bravo, Eric F., Bravo, Jhon J.
openaire   +2 more sources

Distributional justice and climate risk assessment: An analysis of disparities within direct and indirect risk

open access: yesRisk Analysis, Volume 45, Issue 11, Page 3354-3374, November 2025.
Abstract Climate change and natural hazard risk assessments often overlook indirect impacts, leading to a limited understanding of the full extent of risk and the disparities in its distribution across populations. This study investigates distributional justice in natural hazard impacts, exploring its critical implications for environmental justice ...
M. J. Anderson   +5 more
wiley   +1 more source

Gaussian-bihyperbolic Numbers Containing Pell and Pell-Lucas Numbers

open access: yesJournal of Advanced Research in Natural and Applied Sciences, 2023
In this study, we define a new type of Pell and Pell-Lucas numbers which are called Gaussian-bihyperbolic Pell and Pell-Lucas numbers. We also define negaGaussian-bihyperbolic Pell and Pell-Lucas numbers. Moreover, we obtain Binet’s formulas, generating function formulas, d’Ocagne’s identities, Catalan’s identities, Cassini’s identities and some sum ...
openaire   +3 more sources

History Roundtable on US Universities and the State: Episodes from the Twentieth Century

open access: yesHistory, Volume 110, Issue 392, Page 546-559, September 2025.
Abstract This roundtable explores four historical episodes in the history of state–university relations in the United States. In doing so, it addresses issues that also figure prominently in present‐day debates, including questions of academic freedom and free speech, the state's role in research funding as well as the international features of higher ...
Kate Ballantyne   +4 more
wiley   +1 more source

Deriving Binomial Convolution Formulas for Horadam Sequences via Context-Free Grammars

open access: yesAxioms
The Horadam sequence Hn(a,b;p,q) unifies a number of well-known sequences, such as Fibonacci and Lucas sequences. We use the context-free grammars as a new tool to study Horadam sequences.
Jun-Ying Liu   +3 more
doaj   +1 more source

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