Search for dissertations about: "bases"
Showing result 1 - 5 of 359 swedish dissertations containing the word bases.
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1. Canonical Bases for Algebraic Computations
Abstract : This thesis deals with computational methods in algebra, mainly focusing on the concept of Gröbner and SAGBI bases in non-commutative algebras. The material has a natural division into two parts. The first part is a rather extensive treatment of the basic theory of Gröbner bases and SAGBI bases in the non-commutative polynomial ring. READ MORE
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2. Multiplet bases, recursion relations and full color parton showers
Abstract : The papers in this thesis all concern the treatment of colors in perturbative QCD, both in the context of hard scattering cross sections and for parton showers. The complexity of the color structure of QCD increases quickly with the number of external partons. READ MORE
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3. Knowledge Bases and the Geography of Innovation
Abstract : Despite the ongoing globalisation of economic activities, innovation does not take place randomly distributed over space, but concentrates in certain locations. A central argument to explain the spatial concentration of innovation activities lies in the ability of geographical proximity to facilitate interactive learning and knowledge exchange, which in turn is seen as an important driver for regional growth and prosperity. READ MORE
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4. Formal Languages and Automata in Computational Algebra
Abstract : This thesis is a collection of six papers in computational algebra. In particular, we study noncommutative Gröb- ner bases, SAGBI bases and similar algebraic objects which can be represented as a graph or an automaton. READ MORE
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5. Multiplier Sequences for Laguerre bases
Abstract : Pólya and Schur completely characterized all real-rootedness preserving linear operators acting on the standard monomial basis in their famous work from 1914. The corresponding eigenvalues are from then on known as multiplier sequences. READ MORE