Sökning: "Euclidean geometry"

Visar resultat 6 - 10 av 26 avhandlingar innehållade orden Euclidean geometry.

  1. 6. Geometric Decompositions and Networks - Approximation Bounds and Algorithms

    Författare :Joachim Gudmundsson; Institutionen för datavetenskap; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; computer technology; Systems engineering; kontroll; system; Delaunay triangulation; Computational geometry; TSP with neighborhoods; geometric spanners; covering polygons; Computer science; numerical analysis; systems; control; numerisk analys; Datalogi; algebraisk topologi; algebraic topology; Geometry; Data- och systemvetenskap; Geometri;

    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

  3. 7. On Axioms and Images in the History of Mathematics

    Författare :Johanna Pejlare; Gunnar Berg; Anders Öberg; Leo Corry; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; HUMANIORA; HUMANITIES; NATURVETENSKAP; NATURAL SCIENCES; Mathematics; History of mathematics; axiomatization; intuition; visualization; images; Euclidean geometry; MATHEMATICS; MATEMATIK; History of mathematics; axiomatization; intuition; visualization; images; Euclidean geometry;

    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

  4. 8. Geometric Models of Similarity

    Författare :Mikael Johannesson; Kognitionsvetenskap; []
    Nyckelord :HUMANIORA; HUMANITIES; symmetry; similarity; separable dimensions; prominence; multidimensional scaling; Minkowski metric; machine learning; integral dimensions; familiarity; geometric models; distance metric; asymmetry; conceptual spaces; Computer science; numerical analysis; systems; control; Datalogi; numerisk analys; system; kontroll; Geometry; algebraic topology; Geometri; algebraisk topologi;

    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

  5. 9. Bildet sett fra innsiden : Ikonoklastiske og matematiske konsepter i Florenskijs omvendte perspektiv

    Författare :Fabian Heffermehl; Mattias Martinson; Elena Namli; Per-Arne Bodin; Uppsala universitet; []
    Nyckelord :HUMANIORA; HUMANITIES; HUMANIORA; HUMANITIES; HUMANIORA; HUMANITIES; icon; reverse perspective; image; Russia; modernism; mathematics; geometry; avant-garde; cult; utopia; apocalypsis; Systematic Theology and Studies in Worldviews; Systematisk teologi med livsåskådningsforskning; Slaviska språk; Slavic Languages; Konstvetenskap; History of Art;

    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

  7. 10. Geometry of numbers, class group statistics and free path lengths

    Författare :Samuel Holmin; Pär Kurlberg; Yiannis Petridis; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; geometry of numbers; lattices; class numbers; class groups; free path lengths; Mathematics; Matematik;

    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