Latest Articles for Mathematics

Exploring the unique blend of taxicab geometry and hyperbolic principles.

Researchers investigate resonances and their impact on hyperbolic surfaces.

A look at how spins behave in complex systems using specific models.

Exploring the significance of valency and zeros in harmonic polynomials.

An overview of modules, cohomology, and their connections in algebra.

An overview of metric spaces and their key properties.

A look at how oscillator-based machines tackle complex optimization problems.

Examining KKT points in the Motzkin-Straus program reveals insights into graph structure.

Cacti play a crucial role in network analysis and geometric research.

This research examines the links between Gopakumar-Vafa invariants and quantum theory.

A study on optimizing actions in large groups of interacting agents.

This study focuses on coloring infinite sequences for pattern recognition.

A straightforward guide on gradient descent and its optimization methods.

Exploring the significance of geometrically continuous splines in various applications.

An in-depth look at the challenges and solutions within the Navier-Stokes equations.

A look into formalizing mathematical proofs related to regular primes.

A method to enhance optimal control over systems defined by PDEs.

A study on induction methods and their limitations in proving properties of Lisp-like lists.

A look into the challenges and applications of the minimum generating set problem.

A look at Kummer and Hopf-Galois extensions in field theory.

A study of protection numbers in trees and their significance in mathematics.

This study examines conditions for positive radial solutions in annular domains.

Learn about independence and its importance in mathematical theories through simple examples.

Explore how fractals and process systems relate through self-similarity and iterative processes.

A look at theories, models, and their key properties in science and mathematics.

This article examines methods for approximating continuous functions using mathematical operators and wavelets.

A look into the relationships between varieties and morphisms in algebraic geometry.

Exploring the role of superclub and its connections within set theory.

New models improve accuracy by incorporating heat effects in ultrasonic transducer design.

This study presents a new method for augmenting graphs using randomized Schur complements.

Strategies to control systems influenced by randomness using McKean-Vlasov equations.

A study on shock waves and their behavior in fluid dynamics.

Investigating how measurement influences quantum complexity in random quantum circuits.

A deep dive into moduli spaces and their impact on mathematics.

Exploring intersection checks of polynomial zonotopes in complex systems.

Exploring connections between geometric concepts and physical models through Vafa-Witten theory.

Learn how stack and queue numbers shape graph arrangements.

Topological photonics offers new ways to control light using mathematical principles.

Neural networks offer new ways to solve complex Poisson equations in high dimensions.

Methods for controlling distributed-parameter systems using flatness and backstepping designs.