Sökning: "ortogonala polynom"

Hittade 3 uppsatser innehållade orden ortogonala polynom.

  1. 1. On orthogonalizing weights for the Hermite polynomials

    Master-uppsats, KTH/Matematik (Avd.)

    Författare :Lukas Odelius; [2022]
    Nyckelord :Analysis; orthogonal polynomials; orthogonalizing weights; weights; Hermite; Hermite polynomial; Analys; ortogonala polynom; ortogonaliserande vikter; vikter; Hermite; Hermite polynom;

    Sammanfattning : In this paper we study the orthogonal polynomial system on C (z = x + iy) generated by weights of the form w(x, y) = e^{-Q(x, y)} where Q(x, y) is a positive definite quadratic form, we consider the stability of the polynomial system relative to perturbations to the weights and we construct new orthogonalizing weights for the Hermite polynomials. . LÄS MER

  3. 2. Limit Shapes for qVolume Tilings of a Large Hexagon

    Master-uppsats, KTH/Matematik (Avd.)

    Författare :Bako Ahmed; [2020]
    Nyckelord :Combinatorics; graph theory; orthogonal polynomials; Matematik; kombinatorik; grafteori; ortogonala polynom;

    Sammanfattning : Lozenges are polygons constructed by gluing two equilateral triangles along an edge. We can fit lozenge pieces together to form larger polygons and given an appropriate polygon we can tile it with lozenges. Lozenge tilings of the semi-regular hexagon with sides A,B,C can be viewed as the 2D picture of a stack of cubes in a A x B x C box. LÄS MER

  4. 3. Representationer av SO(3) i C[x,y,z]

    Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

    Författare :Otto Sellerstam; [2019]
    Nyckelord :;

    Sammanfattning : Denna rapport kommer att redogöra en konkret undersökning av representationer av den speciella ortogonala gruppen, SO(3), en grupp med viktiga tillämpningar inom fysik. Mer specifikt kommer vi att studera en naturlig representation av SO(3) i rummet av polynom i tre variabler med komplexa koefficienter, C[x, y, z]. LÄS MER