Sökning: "bases"

Visar resultat 1 - 5 av 399 avhandlingar innehållade ordet bases.

1. 1. Canonical Bases for Algebraic Computations

   Författare :Patrik Nordbeck; Algebra; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; gruppteori; algebra; algebraisk geometri; fältteori; Talteori; group theory; algebraic geometry; field theory; Matematik; Number Theory; regular languages; Mathematics; composition of polynomials; factor algebras; Gröbner bases; SAGBI bases;

   Sammanfattning : 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. LÄS MER

3. 2. Multiplet bases, recursion relations and full color parton showers

   Författare :Johan Thorén; Teoretisk partikelfysik - Geonomgår omorganisation; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; QCD; Multiplet Bases; SU Nc ; SU N ; Recursion Relations; BCFW; Nc=3 Parton Showers; Parton Showers;

   Sammanfattning : 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. LÄS MER

4. 3. Knowledge Bases and the Geography of Innovation

   Författare :Roman Martin; CIRCLE; []
   Nyckelord :SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; economic geography; regional innovation systems; learning regions; differentiated knowledge bases; knowledge networks; social network analysis; Scania; Sweden;

   Sammanfattning : 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. LÄS MER

5. 4. Formal Languages and Automata in Computational Algebra

   Författare :Jonas Månsson; Algebra; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; control; Datalogi; Talteori; algebraisk geometri; algebra; gruppteori; Computer science; numerical analysis; systems; group theory; field theory; algebraic geometry; finite automata; Number Theory; Gröbner bases; SAGBI bases; numerisk analys; system; kontroll; fältteori;

   Sammanfattning : 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. LÄS MER

7. 5. Multiplier Sequences for Laguerre bases

   Författare :Elin Ottergren; Petter Brändén; Björn Gustafsson; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; stability preserving operator; orthogonal polynomials; multiplier sequences; Mathematics; matematik;

   Sammanfattning : 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. LÄS MER