Latest Articles for Mathematics

Exploring the complexity of crossing numbers in almost planar and anchored planar graphs.

A look at how Barron spaces enhance neural network performance in high dimensions.

This article discusses directed 1-separations and their role in infinite digraphs.

A look at how vortices shape our understanding of field theories.

A deep dive into GWIGF and RIGF applications and properties.

Explore the key features and significance of groups of F-type in math.

A look into how metrics enhance our understanding of black holes.

An overview of relative monads and their implications in category theory.

This study examines the relationship between quasi-invariant polynomials and their topological structures.

Exploring the relationship between Selmer groups and elliptic curves through primes.

This study focuses on the eigenvalue properties of connected 4-regular graphs.

This article examines moduli spaces and their significance in algebraic geometry.

Exploring the significance and properties of Poisson generic numbers in number theory.

A study on zero-divisor graphs in rings and their complemented properties.

Examining how context influences outcomes in cyclic systems.

A look into the localized and delocalized phases of Erdős-Rényi graphs and their eigenvectors.

A new approach to deriving the parquet equation using functional analysis.

A look into Collatz conjecture and its unanswered questions.

Exploring the connections between hyperbolic curves and group actions.

Exploring chaos in systems through stickiness and its implications.

Examining the relationship of linear maps with Mathieu-Zhao spaces in mathematics.

Research reveals how domain shapes affect the concavity of partial differential equation solutions.

A new tool helps users manage rounding errors in floating-point calculations.

A fresh look at the brachistochrone problem considering real-world friction effects.

A look into the properties and applications of extremal families in mathematics.

This framework improves how math story problems are solved and understood.

An overview of generalized polymorphisms and their role in Boolean function analysis.

Exploring the connections between Eisenstein classes and cohomology in mathematical structures.

A look into arrangements and interactions in mathematical structures using graphs.

Discover how automata enhance our understanding of logic and computation.

A new approach to improve accuracy in finding complex zeros of polynomial systems.

Learn how to estimate errors in PINNs for better solutions to PDEs.

An exploration of Frucht's theorem and its challenges in various mathematical models.

Exploring analytic and Borel sets through natural numbers and their arrangements.

A study of local systems and their properties on the projective line minus four points.

A look at how localizations and dilatations shape category theory.

A look into various statistics that describe permutations and their relationships.

This article presents a framework for maximizing rewards in the restless bandit problem.

This article explores fluid behavior under varying viscosity and random influences.

Using quantum computing to tackle the maximum cut issue in graph theory.