# Sökning: "integral geometry"

Visar resultat 1 - 5 av 43 avhandlingar innehållade orden integral geometry.

1. ## 1. Asymptotic distribution of zeros of a certain class of hypergeometric polynomials

Sammanfattning : The thesis consists of two papers, both treating hypergeometric polynomials, and a short introduction. The main results are as follows. LÄS MER

2. ## 2. The Bergman Kernel on Toric Kähler Manifolds

Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES;

Sammanfattning : Let $(L,h)\to (X, \omega)$ be a compact toric polarized Kähler manifold of complex dimension $n$. For each $k\in N$, the fibre-wise Hermitian metric $h^k$ on $L^k$ induces a natural inner product on the vector space $C^{\infty}(X, L^k)$ of smooth global sections of $L^k$ by integration with respect to the volume form $\frac{\omega^n}{n!}$. LÄS MER

3. ## 3. Digital Geometry, Combinatorics, and Discrete Optimization

Sammanfattning : This thesis consists of two parts: digital geometry and discrete optimization. In the first part we study the structure of digital straight line segments. We also study digital curves from a combinatorial point of view. LÄS MER

4. ## 4. 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

5. ## 5. Integral Closure and Related Operations on Monomial Ideals

Sammanfattning : The motivation for this thesis starts with the theory of Hilbert coefficients. It is a well known fact that given an ideal I the integral closure Ī can be defined as the largest ideal with the same multiplicity as I. For monomial ideals there is an alternative definition. LÄS MER