Latest Articles for Mathematics

A look at how machine learning aids knot theory research.

Learn how to draw bipartite planar graphs using parallel methods.

Investigating how vertex merging impacts graph properties and classifications.

Introducing an efficient way to estimate variance in ever-changing systems.

Exploring a novel proof for the B-series composition theorem using unlabelled trees.

An overview of polytopes, their properties, and applications in various fields.

Examining relationships between geometric shapes and algebraic solutions in mathematics.

An overview of multivariate functors and their significance in mathematical analysis.

A look at the Helmholtz equation and Newtonian potential in wave analysis.

A look into singularities and their properties in algebraic geometry.

A look at how graded ideals relate in algebraic structures.

A new method improves solving complex linear equations efficiently.

An overview of self-similar differential equations and their applications.

Discover the unique arrangements in squiral tiling and their implications.

Explore the fascinating world of knots and their mathematical significance.

Researchers connect particle interactions to geometry, revealing new insights into phase transitions.

Discover how -contact geometry enriches the study of complex systems.

A detailed analysis of solvers for sparse linear systems with challenging conditions.

This study examines quasi-alternating surgeries and their implications for knot classification.

Two knots defy predictions, prompting new questions in knot theory.

A look into recent methods for iterating power series and their historical context.

Explore the significance of irreducible ideals in the structure of monoids.

Learn how Clarke transform aids in the efficient control of continuum robots.

This article investigates how Hilbert schemes enhance the study of Seshadri constants.

Learn how coherent states combine properties of classical waves with quantum behaviors.

HypersurfaceRegions.jl helps researchers analyze complex mathematical structures.

A look at lattices, their types, operations, and applications.

A look into the role of frames and Fourier expansions in signal processing.

Explore the unique structures and operations of lattice knots in geometry and algebra.

Exploring various types and applications of matching problems in different fields.

A study of point movement and reflections within a regular pentagon.

This study evaluates open-loop and Markovian controls in conditional exit scenarios.

A method for detecting edge changes in infrastructure networks amidst noisy data.

Exploring the significance of generalized algebras in mathematics and logic.

Investigating the existence and features of strongly regular graphs.

Exploring the dynamics of self-driven particles and their collective behaviors.

An overview of dynamical irreducibility and its significance in polynomial behavior.

An overview of polynomials and their behaviors in dynamics.

Exploring fractional calculus applications in quantum systems enhances our understanding of complex phenomena.

A deep dive into variable-order diffusion equations and their solution methods.