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Showing result 6 - 10 of 3007 swedish dissertations matching the above criteria.

2. 6. Generalized Vandermonde matrices and determinants in electromagnetic compatibility

   Author : Karl Lundengård; Sergei Silvestrov; Dietrich von Rosen; Mälardalens högskola; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Mathematics Applied Mathematics; matematik tillämpad matematik;

   Abstract : 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. READ MORE

4. 7. On linear graph invariants related to Ramsey and edge numbers : or how I learned to stop worrying and love the alien invasion

   Author : Oliver Krüger; Jörgen Backelin; Alexander Engström; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Ramsey number; edge number; minimal Ramsey graph; independence number; clique number; Turán s theorem; crochet pattern; H13-pattern; linear graph invariant; triangle-free graph; Mathematics; matematik;

   Abstract : In this thesis we study the Ramsey numbers, R(l,k), the edge numbers, e(l,k;n) and graphs that are related to these. The edge number e(l,k;n) may be defined as the least natural number m for which all graphs on n vertices and less than m edges either contains a complete subgraph of size l or an independent set of size k. READ MORE

5. 8. On Axioms and Images in the History of Mathematics

   Author : Johanna Pejlare; Gunnar Berg; Anders Öberg; Leo Corry; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; HUMANIORA; HUMANITIES; NATURVETENSKAP; NATURAL SCIENCES; Mathematics; History of mathematics; axiomatization; intuition; visualization; images; Euclidean geometry; MATHEMATICS; MATEMATIK; History of mathematics; axiomatization; intuition; visualization; images; Euclidean geometry;

   Abstract : This dissertation deals with aspects of axiomatization, intuition and visualization in the history of mathematics. Particular focus is put on the end of the 19th century, before David Hilbert's (1862–1943) work on the axiomatization of Euclidean geometry. The thesis consists of three papers. READ MORE

6. 9. Harmonic measures

   Author : Jonatan Vasilis; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; harmonic measure; square root of the Poisson kernel; Hardy space; p-Laplace operator; random walk; regular tree; discrete minimal thinness; Hardy space;

   Abstract : This thesis uses both analytic and probabilistic methods to study continuous and discrete problems. The main areas of study are the asymptotic properties of p-harmonic measure, and various aspects of the square root of the Poisson kernel. Fix a domain and a boundary point, subject to certain regularity conditions. READ MORE

7. 10. On two-dimensional conformal geometry related to the Schramm-Loewner evolution

   Author : Lukas Schoug; Fredrik Viklund; Nathanaël Berestycki; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Conformal invariance; scaling; random fractals; Mathematics; Matematik;

   Abstract : This thesis contains three papers, one introductory chapter and one chapter with overviews of the papers and some additional results. The topic of this thesis is the geometry of models related to the Schramm-Loewner evolution.In Paper I, we derive a multifractal boundary spectrum for SLEκ(ρ) processes with κ.. READ MORE