Sökning: "generalized dimensions"
Visar resultat 1 - 5 av 32 avhandlingar innehållade orden generalized dimensions.
1. Topics in multifractal measures, nonparametrics and biostatistics
Sammanfattning : This thesis consists of four papers. The first two papers, which comprise the main part of the thesis, deal with an unexpected connection between kernel density estimators and dimension spectra for multifractal measures. LÄS MER
2. Characterization of real fractal objects : analysis of the box-counting approach with applications to gas-evaporated aggregates
Sammanfattning : .... LÄS MER
3. Generalized Vandermonde matrices and determinants in electromagnetic compatibility
Sammanfattning : Matrices whose rows (or columns) consists of monomials of sequential powers are called Vandermonde matrices and can be used to describe several useful concepts and have properties that can be helpful for solving many kinds of problems. In this thesis we will discuss this matrix and some of its properties as well as a generalization of it and how it can be applied to curve fitting discharge current for the purpose of ensuring electromagnetic compatibility. LÄS MER
4. Numerical Analysis of Evolution Problems in Multiphysics
Sammanfattning : In this thesis we study numerical methods for evolution problems in multiphysics. The term multiphysics is commonly used to describe physical phenomena that involve several interacting models. Typically, such problems result in coupled systems of partial differential equations. LÄS MER
5. Exceptional Lie algebras and M-theory
Sammanfattning : In this thesis we study algebraic structures in M-theory, in particular the exceptional Lie algebras arising in dimensional reduction of its low energy limit, eleven-dimensional supergravity. We focus on e8 and its infinite-dimensional extensions e9 and e10. LÄS MER