Sökning: "Institutionen för matematiska vetenskaper Göteborgs universitet"

Visar resultat 21 - 25 av 225 avhandlingar innehållade orden Institutionen för matematiska vetenskaper Göteborgs universitet.

1. 21. Enumeration on words, complexes and polytopes

   Författare :Ragnar Freij; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Simplicial complex; discrete Morse theory; Hansen polytope; $3^d$-conjecture; split graph; derangement; pattern containment; pattern packing; composition.; composition.;

   Sammanfattning : This thesis presents four papers, studying enumerative problems on combinatorial structures. The first paper studies Forman's discrete Morse theory in the case where a group acts on the underlying complex. LÄS MER

3. 22. Topics in algorithmic, enumerative and geometric combinatorics

   Författare :Ragnar Freij; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Discrete Morse theory; simplicial G-complex; centrally symmetric polytope; split graph; derangement; pattern packing; composition; finite poset; optimal stopping; secretary problem.; finite poset;

   Sammanfattning : This thesis presents five papers, studying enumerative and extremal problems on combinatorial structures. The first paper studies Forman's discrete Morse theory in the case where a group acts on the underlying complex. LÄS MER

4. 23. Learning to solve problems that you have not learned to solve: Strategies in mathematical problem solving

   Författare :Éva Fülöp; Göteborgs universitet; []
   Nyckelord :SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Problem-solving strategies; Problem-solving ability; Variation theory; Design principles; Classroom teaching; Design-based research DBR ;

   Sammanfattning : This thesis aims to contribute to a deeper understanding of the relationship between problem-solving strategies and success in mathematical problem solving. In its introductory part, it pursues and describes the term strategy in mathematics and discusses its relationship to the method and algorithm concepts. LÄS MER

5. 24. Index theory in geometry and physics

   Författare :Magnus C H T Goffeng; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Index theory; Cyclic cohomology; Regularized index formulas; Toeplitz operators; Pseudo-differential operators; Quantum Hall effect; Toeplitz operators;

   Sammanfattning : This thesis contains three papers in the area of index theory and its applications in geometry and mathematical physics. These papers deal with the problems of calculating the charge deficiency on the Landau levels and that of finding explicit analytic formulas for mapping degrees of Hölder continuous mappings. LÄS MER

7. 25. Topics in convex and mixed binary linear optimization

   Författare :Emil Gustavsson; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; subgradient methods; Lagrangian dual; recovery of primal solutions; inconsistent convex programs; ergodic sequences; convex optimization; mixed binary linear optimization; maintenance scheduling; preventive maintenance; deterioration cost; inconsistent convex programs;

   Sammanfattning : This thesis concerns theory, algorithms, and applications for two problem classes within the realm of mathematical optimization; convex optimization and mixed binary linear optimization. To the thesis is appended five papers containing its main contributions. LÄS MER