Results 61 to 70 of about 944 (165)

Dual Proximal Groups Concisely Representing Complex Hosoya Triangles

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
This paper introduces dual proximal groups (DPGs) that provide concise representation of complex Hosoya triangles (CHTs). An application is given in terms of the DPG representation of collections of Hosoya‐Hilbert circular triangles on modulated motion waveforms in sequences of video frames. MSC2020 Classification: 11B39,54E05,57S25.
Kübra Gül, James F. Peters, Ömür Deveci, Ivan Giorgio   +3 more
wiley   +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

A Historical Analysis of The Padovan Sequence

International Journal of Trends in Mathematics Education Research, 2020
In the present text, we present some possibilities to formalize the mathematical content and a historical context, referring to a numerical sequence of linear and recurrent form, known as Sequence of Padovan or Cordonnier.
Renata Passos Machado Vieira, Francisco Regis Vieira Alves, Paula Maria Machado Cruz Catarino   +2 more
doaj   +1 more source

Chaotic Archerfish Optimizer–Enhanced Double‐Attention Dense BiGRU for Video‐Based Facial Expression Recognition

International Journal of Intelligent Systems, Volume 2026, Issue 1, 2026.
Facial expression recognition (FER) is a growing and important area of pattern recognition research. In today’s application domains, such as the identification of human facial expression, deep learning techniques have gained popularity. The expressions on people’s faces reveal their motives and emotional actions.
R. Punithavathi, C. Kumar, R. Saravana Kumar, Abhinandan Routray, Richard Murray   +4 more
wiley   +1 more source

On One-Zero numbers: a new Horadam-type sequence

Intermaths
Neste artigo, apresentamos uma nova sequência do tipo Horadam, que chamamos de sequência Um-Zero. Estudamos a equação de recorrência e mostramos a fórmula de Binet. O objetivo deste estudo é examinar as propriedades da sequência mencionada acima.
Eudes Antonio Costa, Grieg Antonio Costa, Paula Maria Machado Cruz Catarino   +2 more
doaj   +3 more sources

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

Construction of generalized bicomplex Leonardo numbers [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we introduce a new class of bicomplex numbers whose components are expressed in terms of bicomplex Leonardo numbers. The motivation for this study arises from the growing interest in generalizations of well-known integer sequences within ...
Murat Turan, Sıddıka Özkaldı Karakuş   +1 more
doaj   +1 more source

Leonardo Cartan Numbers and Related Fibonacci–Lucas Structures

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the Leonardo Cartan numbers, defined as an extension of the classical Leonardo sequence through additional algebraic structures. The recurrence relations of these numbers are established, and various summation formulas are derived.
Hasan Çakır, İskender Öztürk, Smritijit Sen   +2 more
wiley   +1 more source

Pell Leonardo numbers and their matrix representations

Journal of New Results in Science
In this study, we investigate Pell numbers and Leonardo numbers and describe a new third-order number sequence entitled Pell Leonardo numbers. We then construct some identities, including the Binet formula, generating function, exponential generating ...
Çağla Çelemoğlu
doaj   +1 more source

Os biquaternions elípticos de Leonardo

CQD Revista Eletrônica Paulista de Matemática, 2021
Este trabalho mostra um processo evolutivo matemático da sequência de Leonardo, assim é apresentado os números biquaternions elípticos de Leonardo.
Milena Carolina dos Santos Mangueira, Francisco Régis Vieira Alves, Paula Maria Machado Cruz Catarino   +2 more
doaj