Search for dissertations about: "numbers"
Showing result 1 - 5 of 1607 swedish dissertations containing the word numbers.
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1. Convexity, Currents, and Lelong numbers
Abstract : This thesis treats different aspects of convexity, both real and complex. On the real side, we study convexity in relation with certain currents. On the complex side, we study the singularities of plurisubharmonic functions. READ MORE
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2. Geometry of numbers, class group statistics and free path lengths
Abstract : This thesis contains four papers, where the first two are in the area of geometry of numbers, the third is about class group statistics and the fourth is about free path lengths. A general theme throughout the thesis is lattice points and convex bodies. READ MORE
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3. Towards Plane Hurwitz Numbers
Abstract : The main objects of this thesis are branched coverings obtained as projection from a point in P^2. Our general goal is to understand how a given meromorphic function f: X -> P^1 can be induced from a composition X --> C -> P^1, where C is a plane curve in P^2 which is birationally equivalent to the smooth curve X. READ MORE
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4. Ramification numbers and periodic points in arithmetic dynamical systems
Abstract : The field of discrete dynamical systems is a rich and active field of research within mathematics, with applications ranging from biology to computer science, finance, engineering and various others. In this thesis properties of certain discrete dynamical systems are studied together with number theoretic properties of the functions defining these systems. READ MORE
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5. Making Sense of Negative Numbers
Abstract : Numbers are abstract objects that we conceptualize and make sense of through metaphors. When negative numbers appear in school mathematics, some properties of number sense related to natural numbers become contradictory. The metaphors seem to break down, making a transition from intuitive to formal mathematics necessary. READ MORE