functionality to create and explore finite incidence structures, such as finite projective spaces, finite classical polar spaces, generalised polygons, coset geometries, finite affine spaces, and many ...

Combinatorial geometry and finite fields constitute a vibrant area of research that bridges classical geometric intuition with discrete algebraic structures. This interdisciplinary field examines the ...

Initially, we derive a nonlinear integral equation for the vacuum counting function of the spin 1/2-XYZ chain in the {\it disordered regime}, thus paralleling similar results by Klumper \cite{KLU}, ...

Abstract: We theoretically analyze the information geometric optimization (IGO), which is a unified framework of stochastic search algorithms for black-box optimization. The IGO framework has two ...

The conventional Timoshenko piezoelectric beam finite elements based on First-order Shear Deformation Theory (FSDT) do not maintain the accuracy and convergence consistently over the applicable range ...

Abstract: The finite Euclidean and Projective geometry codes are the most known among One-Step Majority-Logic Decodable codes that are Low-Density Parity-Check codes as well. Unfortunately, these ...

This study evaluated the influence of the geometry of ceramic specimens (disc vs. square plate) on the biaxial flexural strength (BFS) using an experimental set and finite element analysis (FEA).