Latest Articles for Mathematics

Learn about cellular automata and their role in modeling complex systems.

This article delves into the dynamics of self-moving particles and their complex interactions.

This study analyzes the significance of the spectral gap in Erdős-Rényi graphs.

Introducing REFACTOR, a system for automatic theorem extraction from mathematical proofs.

An overview of modular forms and their significance in number theory.

Researchers develop efficient sampling techniques for complex geometries in various fields.

Examining the smoothness of solutions to -family equations with Gevrey initial conditions.

A new method streamlines complex integral calculations in particle interactions.

A study of fixed point arrangements on circles and their applications.

A look at how Stirling complexes model resource allocation across locations.

Explore how infinitesimal and infinite numbers shape mathematical modeling in various fields.

Discover the relationship between matroids and polynomials in various fields.

A look into nonlinear elasticity and its importance in various applications.

This article discusses determinant evaluations in the twenty-vertex model and their applications.

Examining scalar waves' behavior as they approach singularities in Kasner spacetimes.

This article links classical models and quantum mechanics using mathematical structures.

Exploring how transformers learn arithmetic in machine learning.

A new model enhances understanding of fluid behavior at moving boundaries.

A clear look at the links between Fay identities, Hirota equations, and integrable systems.

Learn how defect measures reveal function behaviors and their implications.

A look into the dynamics of nonnormal Toeplitz matrices under perturbations.

Research reveals how infections spread in dynamic random graphs.

A look into the Mahler measure and its significance in mathematics.

Explore how directed graphs can be colored without creating cycles.

A novel approach enhances efficiency in SMT solving for bit-vectors.

An analysis of Shogi movements through mathematical patterns and geometric shapes.

Examining new methods for efficient heat distribution modeling.

Exploring the relationship between Haar states and standard monomials in algebra.

Explore improved methods for convection-diffusion problems in science and engineering.

This study explores how deep learning can learn integrals and basic integration rules.

Exploring the role of entropy in hyper-graphon theory and its applications.

Explore the structures and behaviors of dilation surfaces and their fascinating foliations.

Examining how AI can transform mathematical problem-solving and decision-making.

Exploring the complexities of the P vs. NP problem in computer science.

A look at the role of Turan and Ramsey numbers in hypergraphs.

A look at quantum games and how losing strategies can lead to winning outcomes.

This library simplifies automatic differentiation for web applications.

An exploration of non-abelian descent types and their significance in arithmetic geometry.

Exploring the structure and computation of equivariant ideals in infinitely many variables.

Exploring connections between quantum mechanics and space-time for deeper insights.