This article explores the affine-additive group's structure and properties.
― 4 min read
Mathematics - Metric Geometry
RSSAn overview of flat sub-Lorentzian structures and the Martinet distribution.
― 4 min read
A look into how eigenmaps improve data analysis through effective scaling.
― 6 min read
A deep dive into the Dyn-Farkhi conjecture and its implications in geometry.
― 5 min read
Exploring how geodesics function within random road structures offers practical implications.
― 5 min read
Exploring the relationship between unimodular valuations and lattice polytopes.
― 4 min read
Exploring the structure and features of nilpotent groups and torsion-free elements.
― 4 min read
An overview of convex bodies, their properties, and significance in mathematics.
― 5 min read
A novel method for estimating intrinsic volumes in various scientific fields.
― 5 min read
Vietoris-Rips complexes reveal data patterns through geometric relationships between points.
― 5 min read
This paper investigates the compactness of Morse boundaries in relation to group behaviors.
― 5 min read
A look at how shapes maintain balance through centroids and equilibrium points.
― 6 min read
A look into how shapes can be arranged without overlapping in geometry.
― 4 min read
A guide to the smallest enclosing circle on a sphere with practical applications.
― 5 min read
A look into harmonic functions and their significance in various fields.
― 5 min read
This article discusses tropical geometry's role in studying planar linkages.
― 6 min read
Explore the relationships between shapes and their properties in geometry.
― 5 min read
A method for detailed signal analysis over time and frequency.
― 5 min read
New findings reveal connections between integral curves and unit rhombi.
― 6 min read
Research reveals conditions for doming equiangular polygons using triangles.
― 6 min read
An exploration of unique properties and boundaries in Carnot groups.
― 5 min read
A new method for comparing complex data structures in graphs and networks.
― 5 min read
Explore the unique properties and constructions of Poncelet polygons in geometry.
― 5 min read
Exploring the relationships between shapes formed by lines and conics.
― 3 min read
An analysis of simple closed geodesics on spherical polyhedra.
― 5 min read
Exploring the relationship between finitely presented groups and planar Cayley graphs.
― 5 min read
A look at generalized Frechet means and their role in modern data analysis.
― 6 min read
Exploring the role of Banach metrics in understanding group structures and their properties.
― 5 min read
Geometric algebra provides a unified approach to geometry without heavy reliance on coordinates.
― 4 min read
A look into the fascinating world of 4D shapes that maintain constant width.
― 6 min read
A look at Young integration's role with self-similar sets like the Cantor set.
― 5 min read
A look into Fourier Analysis and its significance in various fields.
― 4 min read
A look into chain Sobolev spaces and their significance in analyzing functions.
― 5 min read
Exploring the properties of shapes in constrained spaces.
― 6 min read
A look at how merge trees enhance our grasp of crystalline materials.
― 5 min read
Neural Spacetimes offer innovative representations for analyzing directed graphs in various fields.
― 5 min read
An overview of metric surfaces and the concept of removable sets in geometry.
― 5 min read
Exploring the application of Grunbaum's inequality in complex geometric environments.
― 7 min read
Learn how sampling methods help reveal polygon properties.
― 3 min read
Exploring the properties and applications of fractal spheres and spiral shells.
― 5 min read