Results 41 to 50 of about 105 (104)

The Romantic Discovery of Radiolaria in the Ocean

Journal of Eukaryotic Microbiology, Volume 73, Issue 1, January/February 2026.
ABSTRACT Radiolaria are unicellular marine organisms (protists) that have been drifting in oceanic plankton for hundreds of millions of years. These mineral architects can build extraordinarily complex skeletons, which fascinated and puzzled naturalists observing water samples through rudimentary microscopes.
Johan Decelle
wiley   +1 more source

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

Some properties and extended Binet’s formula for the class of bifurcating Fibonacci sequence

Ratio Mathematica
One of the generalizations of Fibonacci sequence is a -Fibonacci sequence, which is further generalized in several other ways, some by conserving the initial conditions and others by conserving the related recurrence relation.
Daksha Manojbhai Diwan, Devbhadra V Shah, Vandana R Patel   +2 more
doaj   +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

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

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

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

A Brief Study on the k-Dimensional Repunit Sequence

Axioms
In this paper, we aim to introduce and investigate the bidimensional, tridimensional and k-dimensional extension of Repunit numbers, with a particular focus on their recurrence relations, key properties, and various sum identities.
Eudes A. Costa, Paula M. M. C. Catarino, Paulo J. M. Vasco, Francisco R. V. Alves   +3 more
doaj   +1 more source

Almost Forgotten Research Contexts: William Stern's Giftedness Research. [PDF]

J Intell, 2023
Heinemann R.
europepmc   +1 more source

On Gersenne Sequence: A Study of One Family in the Horadam-Type Sequence

Axioms
This study introduces an innovative approach to Mersenne-type numbers. This paper introduces a new class of numbers, which we call Gersenne numbers. The aim of this paper is to define the Gersenne sequence and to investigate some of their properties ...
Douglas Catulio Santos, Eudes Antonio Costa, Paula M. M. C. Catarino   +2 more
doaj   +1 more source