Results 61 to 70 of about 12,986 (183)

Investigando os Números Híbridos de Jacobsthal através de uma abordagem epistemológica

Boletim GEPEM, 2021
Exibiremos nesta proposta de aula um estudo sobre os números híbridos de Jacobsthal, por meio de uma abordagem epistemológica, a partir do que já foi estudado sobre os números híbridos e da sequência de Jacobsthal.
Milena Carolina dos Santos Mangueira, Francisco Regis Vieira, Paula Maria Machado Cruz Catarino   +2 more
doaj   +1 more source

Quadratic Approximation of Generalized Tribonacci Sequences

, 2018
In this paper, we give quadratic approximation of generalized Tribonacci sequence $\{V_{n}\}_{n\geq0}$ defined by Eq. (\ref{eq:7}) and use this result to give the matrix form of the $n$-th power of a companion matrix of $\{V_{n}\}_{n\geq0}$.
Cerda-Morales, Gamaliel
core   +1 more source

A Generalization of Gaussian Balancing and Gaussian Balancing‐Lucas Numbers With Applications

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this paper, we study a generalization of Gaussian balancing and Gaussian Lucas‐balancing numbers, we find their generating functions, Binet formulas, related matrix representation, and many other properties. Also, we provide some applications in cryptography.
T. Al-Asoully, A. Al-Kateeb, Abdul Rauf Khan   +2 more
wiley   +1 more source

On Harmonic Complex Balancing Numbers

Mathematics, 2022
In the present work, we define harmonic complex balancing numbers by considering well-known balancing numbers and inspiring harmonic numbers. Mainly, we investigate some of their basic characteristic properties such as the Binet formula and Cassini ...
Fatih Yılmaz, Aybüke Ertaş, Jiteng Jia   +2 more
doaj   +1 more source

Model Reduction for Nonlinear Dynamical Systems With Parametrized Boundary and Initial Conditions Using Support Vector Machine on a Manifold

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This work introduces a model reduction approach for parametrized boundary and initial conditions using supervised learning techniques. The Grassmann distance is employed to measure differences between parameter values based on the angles of solution subspaces.
Norapon Sukuntee, Saifon Chaturantabut, Hulun Guo   +2 more
wiley   +1 more source

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

Journal 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, Hasan Çakır, Smritijit Sen   +2 more
wiley   +1 more source

On a New Generalization of Pell Hybrid Numbers

Annales Mathematicae Silesianae
In this paper, we define and study a new one-parameter generalization of the Pell hybrid numbers. Based on the definition of r-Pell numbers, we define the r-Pell hybrid numbers.
Bród Dorota, Szynal-Liana Anetta, Włoch Iwona   +2 more
doaj   +1 more source

Higher-order balancing numbers: new sequences, recurrence relations, generating functions and identities

Қарағанды университетінің хабаршысы. Математика сериясы
In this article, we study a novel extension of the classic balancing numbers, referred to as the higher-order balancing numbers and denoted by. This sequence is analogous to the higher-order Fibonacci numbers and follows the same recurrence relation as ...
K. Prasad, Indubala, M. Kumari
doaj   +1 more source

Examining the association between cognitive ability and emotional problems across childhood using a genetically informative design: could there be a causal relationship?

Journal of Child Psychology and Psychiatry, Volume 66, Issue 12, Page 1875-1888, December 2025.
Background Emotional problems co‐occur with difficulties in verbal and nonverbal cognitive ability, yet the pathways underlying their association remain poorly understood: It is unclear whether effects may be causal, and to what extent they may run from cognition to emotion, or vice versa.
Meredith X. Han, Ivan Voronin, Margherita Malanchini, Tom A. McAdams   +3 more
wiley   +1 more source

Binet’s formula for operator-valued recursive sequences and the operator moment problem

Extracta Mathematicae
We derive a Binet-type formula for operator-valued sequences satisfying linear recurrence relations, extending the classical scalar case to the setting of bounded operators on Hilbert spaces.
A. Ech-charyfy, A. Ghanmi, K. Idrissi, A. Salhi   +3 more
doaj   +1 more source