Results 51 to 60 of about 127 (112)

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

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

New Results on Negative-Indexed Pell Numbers via Matrix Methods

Cumhuriyet Science Journal
In this study, we investigate the Pell and Pell–Lucas numbers sequences and construct matrices whose elements are defined using negative indices of these sequences through Binet’s formula. Identities involving negative-indexed Pell and Pell–Lucas numbers
İbrahim Gökcan, Ümmügülsün Çağlayan, Ali Hikmet Değer   +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

HIGHLY MULTIPLICATIVE SERIES

, 2022
In the Fibonacci series we have two numbers by adding them we get a series consisting of even and odd numbers in this it goes up to infinity we can track any n th number by the Binet’s formula.
Vishal Pandey (11587402)
core   +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

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

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

Comparison of Adulthood Outcomes in Autism Spectrum Disorder With and Without Regression: A Population‐Based Birth Cohort Study

Autism Research, Volume 18, Issue 11, Page 2334-2344, November 2025.
ABSTRACT The long‐term outcomes of regression in autism spectrum disorder (ASD) remain unclear. Previous evidence suggests that autistic individuals with regression have poorer adulthood outcomes across various indices than those without regression. We compared two groups—those with and without regression in ASD—among 168 participants from a population‐
Satoru Minami, Mitsuaki Iwasa, Hiroko Ohzono, Daimei Sasayama, Hideo Honda   +4 more
wiley   +1 more source

Continued Fractions and their Interpretations

, 2001
The Fibonacci Numbers are one of the most intriguing sequences in mathematics. I present generalizations of this well known sequence. Using combinatorial proofs, I derive closed form expressions for these generalizations.
Hanusa, Christopher
core