Sökning: "Euclidean geometry"
Visar resultat 6 - 10 av 26 avhandlingar innehållade orden Euclidean geometry.
6. Geometric Decompositions and Networks - Approximation Bounds and Algorithms
Sammanfattning : In this thesis we focus on four problems in computational geometry: In the first four chapters we consider the problem of covering an arbitrary polygon with simpler polygons, i.e., rectangles. LÄS MER
7. On Axioms and Images in the History of Mathematics
Sammanfattning : This dissertation deals with aspects of axiomatization, intuition and visualization in the history of mathematics. Particular focus is put on the end of the 19th century, before David Hilbert's (1862–1943) work on the axiomatization of Euclidean geometry. The thesis consists of three papers. LÄS MER
8. Geometric Models of Similarity
Sammanfattning : This dissertation examines and discusses some phenomena related to the geometric representation of similarity. It takes its inspiration from the existing body of empirical research within the fields of perceptual and cognitive psychology, but also connects to certain areas of machine learning. LÄS MER
9. Bildet sett fra innsiden : Ikonoklastiske og matematiske konsepter i Florenskijs omvendte perspektiv
Sammanfattning : For the Armenian-Russian mathematician, theologian and art-theoretician Pavel Florensky (1882–1937), the so-called reverse perspective of the Byzantine cult-image (in Greek: eikon) functioned not only as a phenomenon within painting, but also as an expression of a world-view that should ultimately define a cultural distinction between Russia and Europe. Florensky argued in various ways that the Russian-Orthodox reverse perspective represents ethical and aesthetical values that are superior to the Western linear perspective. LÄS MER
10. Geometry of numbers, class group statistics and free path lengths
Sammanfattning : This thesis contains four papers, where the first two are in the area of geometry of numbers, the third is about class group statistics and the fourth is about free path lengths. A general theme throughout the thesis is lattice points and convex bodies. LÄS MER