Sökning: "Euclidean geometry"
Visar resultat 11 - 15 av 26 avhandlingar innehållade orden Euclidean geometry.
11. Privacy Mechanism Design Through the Lens of Information Theory : With Applications to Compression, Caching, and Semantic Communication
Sammanfattning : Privacy mechanism design is an important research area and is receiving increased attention in recent years. This field focuses on addressing the challenge of revealing general data that might have correlations with sensitive information, all while protecting this sensitive information against unauthorized access. LÄS MER
12. Gravity Illustrated. Spacetime Edition
Sammanfattning : This thesis deals with essentially four different topics within general relativity: pedagogical techniques for illustrating curved spacetime, inertial forces, gyroscope precession and optical geometry. Concerning the pedagogical techniques, I investigate two distinctly different methods, the dual and the absolute method. LÄS MER
13. Approximation Algorithms for Geometric Networks
Sammanfattning : The main contribution of this thesis is approximation algorithms for several computational geometry problems. The underlying structure for most of the problems studied is a geometric network. LÄS MER
14. Topics in projective algebraic optimization
Sammanfattning : This thesis explores optimization challenges within algebraic statistics, employing both topological and geometrical methodologies to derive new insights. The main focus is the optimization degree of nearest point and Gaussian maximum likelihood estimation problems with algebraic constraints. LÄS MER
15. Topological and Scaling Analysis of Geospatial Big Data
Sammanfattning : Geographic information science and systems face challenges related to understanding the instinctive heterogeneity of geographic space, since conventional geospatial analysis is mainly founded on Euclidean geometry and Gaussian statistics. This thesis adopts a new paradigm, based on fractal geometry and Paretian statistics for geospatial analysis. LÄS MER