Sökning: "Continued fractions"
Visar resultat 1 - 5 av 13 avhandlingar innehållade orden Continued fractions.
1. Digital lines, Sturmian words, and continued fractions
Sammanfattning : In this thesis we present and solve selected problems arising from digital geometry and combinatorics on words. We consider digital straight lines and, equivalently, upper mechanical words with positive irrational slopes a... LÄS MER
2. Computational dynamics – real and complex
Sammanfattning : The PhD thesis considers four topics in dynamical systems and is based on one paper and three manuscripts.In Paper I we apply methods of interval analysis in order to compute the rigorous enclosure of rotation number. LÄS MER
3. Multipoint Padé approximants used for piecewise rational interpolation and for interpolation to functions of Stieltjes' type
Sammanfattning : A multipoint Padë approximant, R, to a function of Stieltjes1 type is determined.The function R has numerator of degree n-l and denominator of degree n.The 2n interpolation points must belong to the region where f is analytic,and if one non-real point is amongst the interpolation points its complex-conjugated point must too. LÄS MER
4. Permutation Patterns, Continued Fractions, and a Group Determined by an Ordered Set
Sammanfattning : We present six articles: In the first and second article we give the first few results on generalized pattern avoidance, focusing on patterns of type (1,2) or (2,1). There are twelve such patterns, and they fall into three classes with respect to being equidistributed. We use 1-23, 1-32, and 2-13 as representatives for these classes. LÄS MER
5. Integrated starch and lignocellulose based biorefineries : Synergies and opportunities
Sammanfattning : The transition from a reliance on fossil resources to the use of renewables for the production of energy, fuels and chemicals is essential for ensuring the sustainability of continued human development. Plant-based biomass is a renewable resource which can be transformed into all of these products. LÄS MER