On the Foundations of Approximate Algebra: Axioms, Extensions, and Geometric Structures arxiv.org/abs/2509.25212

Challenges and Solutions in Selecting Optimal Lossless Data Compression Algorithms arxiv.org/abs/2509.25219 .IT .CV

Application of a new iterative formula for computing $\pi$ and nested radicals with roots of $2$ arxiv.org/abs/2509.25221

Simuorb: a new method for generating and describing the intersection points of clique-arrangements arxiv.org/abs/2509.25234

AW-EL-PINNs: A Multi-Task Learning Physics-Informed Neural Network for Euler-Lagrange Systems in Optimal Control Problems arxiv.org/abs/2509.25262

Symmetry and Pseudosymmetry properties with Ricci soliton of the Reissner-Nordstr\"{o}m-de Sitter spacetime arxiv.org/abs/2509.19302

The properties of general Fourier partial sums of functions $f \in C_L$ arxiv.org/abs/2509.19311

Initial Value Problems for Some Functional Equations and the PENLP arxiv.org/abs/2509.19317

Maximal operators of $T$ means with respect to the Vilenkin system arxiv.org/abs/2509.19321

The strange story of an almost unknown prime number counter: The Rafael Barrett formula arxiv.org/abs/2509.19324

Reconstruction of Transient Anisotropic Diffusion in Transient Diffusion Models arxiv.org/abs/2509.19338

Conic optimization techniques yield sufficient conditions for set-completely positive matrix completion under arrowhead specification pattern arxiv.org/abs/2509.19348

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