Sökning: "matematik observation"
Visar resultat 1 - 5 av 62 avhandlingar innehållade orden matematik observation.
1. Polynomial Hulls and Envelopes of Holomorphy
Sammanfattning : The notion of polynomial hulls of compact subsets of complex Euclidean space plays a crucial role for approximation of holomorphic functions by polynomials - a topic which has many applications. Despite an abstract characterization of polynomial hulls in terms of currents, given by Duval and Sibony, it is often very difficult even for special classes of sets to decide whether the polynomial hull is trivial (i. LÄS MER
2. Constructive Methods for SAGBI and SAGBI-Gröbner Bases
Sammanfattning : The thesis consists of an introduction and the following four papers: Paper I: Using resultants for SAGBI basis verification in the univariate polynomial ring. Authors: Anna Torstensson, Victor Ufnarovski and Hans Öfverbeck. LÄS MER
3. Testing spatial independence using a separable covariance matrix
Sammanfattning : Spatio-temporal processes like multivariate time series and stochastic processes occur in many applications, for example the observations from functional magnetic resonance imaging (fMRl) or positron emission tomography (PET). It is interesting to test independence between k sets of the variables, that is testing spatial independence. LÄS MER
4. Studies in Estimation of Patterned Covariance Matrices
Sammanfattning : Many testing, estimation and confidence interval procedures discussed in the multivariate statistical literature are based on the assumption that the observation vectors are independent and normally distributed. The main reason for this is that often sets of multivariate observations are, at least approximately, normally distributed. LÄS MER
5. On the mathematics of the one-dimensional Hegselmann-Krause model
Sammanfattning : This thesis contains three papers, which all in different ways concern the asymptotics of the Hegselmann-Krause model in opinion dynamics. In this model a set of conformist agents repeatedly and synchronously replace their real-valued opinions by the average of those opinions that are within unit distance of their own. LÄS MER