Sökning: "Algebraic number"

Visar resultat 6 - 10 av 109 avhandlingar innehållade orden Algebraic number.

  1. 6. Algebraic Dynamical Systems, Analytical Results and Numerical Simulations

    Författare :Robert Nyqvist; Andrei Khrennikov; Vladimir Anashin; Växjö universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; discrete dynamical systems; p-adic numbers; finite fields; number of periodic points; Chebotarev s Density Theorem; computational number theory; MATHEMATICS; MATEMATIK;

    Sammanfattning : In this thesis we study discrete dynamical system, given by a polynomial, over both finite extension of the fields of p-adic numbers and over finite fields. Especially in the p-adic case, we study fixed points of dynamical systems, and which elements that are attracted to them. We show with different examples how complex these dynamics are. LÄS MER

  3. 7. Algebraic Properties of Ore Extensions and Their Commutative Subrings

    Författare :Johan Richter; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Ore extension; Noncommutative algebra; Algebraic dependence;

    Sammanfattning : This thesis deals with a class of rings known as Ore extensions. An Ore extension can be described as a noncommutative ring of polynomials in one variable. A special focus of the thesis is the study of commuting elements in Ore extensions. LÄS MER

  4. 8. Topics in projective algebraic optimization

    Författare :Lukas Gustafsson; Sandra Di Rocco; Kathlén Kohn; Cordian Riener; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    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

  5. 9. Geometry and Critical Configurations of Multiple Views

    Författare :Fredrik Kahl; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; algebra; algebraic geometry; field theory; Number Theory; Matematik; Mathematics; reconstruction; image sequence; absolute conic; critical motions; critical surfaces; perspective projection; affine geometry; Euclidean geometry; multiple view geometry; projective geometry; group theory; Talteori; fältteori; algebraisk geometri; gruppteori; Mathematical logic; set theory; combinatories; Matematisk logik; mängdlära; kombinatorik;

    Sammanfattning : This thesis is concerned with one of the core problems in computer vision, namely to reconstruct a real world scene from several images of it. The interplay between the geometry of the scene, the cameras and the images is analyzed. LÄS MER

  7. 10. Algorithmic Methods in Combinatorial Algebra

    Författare :Anna Torstensson; Algebra; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; algebraic geometry; field theory; Number Theory; maximal symmetry group; resultant; SAGBI basis; Orthogonal decomposition; algebra; group theory; Talteori; fältteori; algebraisk geometri; gruppteori;

    Sammanfattning : This thesis consists of a collection of articles all using and/or developing algorithmic methods for the investigation of different algebraic structures. Part A concerns orthogonal decompositions of simple Lie algebras. The main result of this part is that the symplectic Lie algebra C3 has no orthogonal decomposition of so called monomial type. LÄS MER