Latest Articles for Mathematics

New methods for identifying graph structure improve accuracy and efficiency.

Explore the connections between operators, functions, and number theory.

Control systems adjust behaviors in various fields, addressing uncertainties and optimizing performance.

Exploring the concept of triality and its impact on particle generations.

A study on the drawing and properties of abstract topological graphs.

Learn how the filtered Lanczos procedure enhances eigenvalue calculations using GPUs.

Research focuses on periodic behavior in grid-based color arrangements.

A look into sextic and Morse potentials in quantum mechanics.

A new approach uses finite groups for clearer insights in quantum mechanics.

A look at the generalized Jang equation and its role in gravity studies.

Learn how scientists match complex shapes using simple methods.

A look at quotient iteration for faster eigenvalue problem solving.

Exploring stable class functions and their applications in representation theory and beyond.

An overview of highest weight modules, their properties, and significance in representation theory.

This study examines the relationship between rigid motions and relative equilibrium for bodies on a spherical surface.

Exploring the relationship between angles, distances, and energy in projective spaces.

A simple guide to graphs, nodes, edges, and distances in real life.

A study of forward operator monoids and their key vector types.

Explore the fundamental concepts of Lie groups and algebras in mathematics and physics.

Explore the principles and applications of complex capacitors in energy storage.

Examining how high-dimensional spaces affect light blockage and data behavior.

A new method improves the comparison of surfaces in science and medicine.

A look into the structure and applications of countable Borel equivalence relations in mathematics.

This article discusses improving AI language models to solve math problems accurately.

Analyzing network growth and structure variations through the Asymmetric BA model.

A look into particle behavior in different environments using a mathematical model.

Explore the role of semirings and their ideals in mathematics and applications.

A look into braid groups, the Goldberg homomorphism, and their relationships.

A look into the dynamics and controllability of non-autonomous systems.

Explore how geometry-preserving reductions connect computational problems while maintaining solution shapes.

Examining the relationships and properties of classical orthogonal polynomials through generating functions.

Explore the structures of perfectoid towers and prisms in mathematics.

Discovering the behavior of geodesics on complex surfaces with holes.

Learn how to remove noise from images while preserving key details.

Optimizing data selection methods for solving inverse problems in science and engineering.

An overview of Toda and Calogero models in field theory.

Learn about canonical transformations and their significance in classical mechanics.

An introduction to differential equations and their significance in various fields.

A look into nonholonomic systems and their significance in mechanics.

This article explores edge-bicolored graphs and their significance in mathematics and physics.