Essays about: "ortogonala polynom"

Found 2 essays containing the words ortogonala polynom.

1. 1. On orthogonalizing weights for the Hermite polynomials

   University essay from KTH/Matematik (Avd.)

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

   Abstract : 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. . READ MORE

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

   University essay from KTH/Matematik (Avd.)

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

   Abstract : 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. READ MORE