Essays about: "metriskt rum"

Found 3 essays containing the words metriskt rum.

1. 1. An Introduction to Metric Spaces

   University essay from Linköpings universitet/Analys och didaktik; Linköpings universitet/Tekniska fakulteten

   Author : Samuel Erickson Andersson; David Wiman; [2022]
   Keywords : Analysis; compact; convergence; limit; metric space; sequence; set; topology; Analys; följd; gränsvärde; kompakt; konvergens; metriskt rum; mängd; topologi;

   Abstract : In this thesis we start off by ensuring that the reader is up to speed when it comes to some well known definitions and theorems from real analysis. We then introduce the reader to metric spaces and provide them with some examples such as the real numbers with the Euclidean distance, and compact sets with the Hausdorff distance. READ MORE

3. 2. Voronoi Cells of Varieties with respect to Wasserstein Distances

   University essay from KTH/Matematik (Avd.)

   Author : Adrian Becedas; [2021]
   Keywords : ;

   Abstract : Voronoi diagrams are partitions of a metric space into Voronoi cells according to distance from points on some set w.r.t. some distance. READ MORE

4. 3. Algebraic Simplifications of Metric Information

   University essay from KTH/Matematik (Avd.)

   Author : Klas Erninger; [2020]
   Keywords : Topological data analysis; algebraic topology; Topologisk data analys; algebraisk topologi;

   Abstract : This thesis is about how to interpret metric data with topological tools, such as homology. We show how to go from a metric space to a topological space via Vietoris-Rips complexes. We use the usual approach to Topological Data Analysis (TDA), and transform our metric space into tame parametrised vector spaces. READ MORE