Results 111 to 120 of about 53,723 (156)

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

Risk 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, B. Rachunok, K. Hardaway, D. Bristow, A. Reilly, D. Johnson, J. Johansson, G. Cremen, J. Boakye, P. Schweizer   +9 more
wiley   +1 more source

On k-Pell hybrid numbers

Journal 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

On (k1A1, k2A2, k3A3)-Edge Colourings in Graphs and Generalized Jacobsthal Numbers

Annales Mathematicae Silesianae
In this paper we introduce a new kind of generalized Jacobsthal numbers in a distance sense. We give the identities and matrix representations for them and their connections with the Fibonacci and the Pell numbers. We also describe the interpretations of
Piejko Krzysztof, Trojnar-Spelina Lucyna
doaj   +1 more source

Pell Form and Pell Equation via Oblong Numbers

, 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

Mathematica 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  

On the X-coordinates of Pell equations which are Tribonacci numbers

, 2017
Luca, F., Montejano, A., Szalay, L., Togbé, A.   +3 more
core   +1 more source

Some sum formulas for products of Pell and Pell-Lucas numbers [PDF]

International Journal of Advances in Applied Mathematics and Mechanics, 2017
Hasan GÖKBA ̧S, Hasan KÖSE
doaj  

On Generalized Pell Numbers

On Generalized Pell Numbers
openaire  

Some of the next articles are maybe not open access.

Related searches:

New recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbers

Chaos, Solitons & Fractals, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Songül Çelik, İnan Durukan, Engin Özkan   +2 more
openaire   +3 more sources

Pell–Lucas Numbers as Sum of Same Power of Consecutive Pell Numbers

Mediterranean Journal of Mathematics, 2022
Let \(P_{n}\) be the \(n\)-th term of the Pell sequence defined as \(P_{0}=0, P_{1}=1, P_{n}=2P_{n+1}+P_{n}\) and let \(Q_{n}\) be the \(n\)-th term of the Pell-Lucas sequence defined as \(Q_{0}=Q_{1}=2, Q_{n}=2Q_{n-1}+Q_{n-2}\). The authors are interested in non-negative integers \((m, n, k, x)\) solutions of the Diophantine equation \[ P_{n}^{x}+P_{n+
Salah Eddine Rihane, Euloge B. Tchammou, Alain Togbé   +2 more
openaire   +3 more sources