Sökning: "matematik intresse"

Visar resultat 1 - 5 av 31 avhandlingar innehållade orden matematik intresse.

  1. 1. Tame representations in Topological Data Analysis: decompositions, invariants and metrics

    Författare :Francesca Tombari; Wojciech Chachólski; Patrizio Frosini; Peter Bubenik; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; topological data analysis; tameness; decompositions; invariants; metrics; Matematik; Mathematics;

    Sammanfattning : This thesis is a compilation of results that can be framed within the field of applied topology. The starting point of our study is objects presenting a possibly complex intrinsic geometry. The main goal is then to simplify, without trivializing, the geometric information characterising these objects by choosing an appropriate representation. LÄS MER

  3. 2. On the optimal stopping time of learning

    Författare :Anna Fedyszak-Koszela; Richard Bonner; Dmitrii Silvestrov; Jacek Malec; Mälardalens högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; stopping time; MATHEMATICS; MATEMATIK;

    Sammanfattning :  The goal of this thesis is to study the economics of computational learning. Attention is also paid to applications of computational learning models, especially Valiant's so-called `probably approximately correctly' (PAC) learning model, in econometric situations. LÄS MER

  4. 3. The Double Obstacle Problem on Metric Spaces

    Författare :Zohra Farnana; Jan Björn; Anders Björn; Juha Kinnunen; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; metric space; nonlinear; obstacle problem; p-harmonic; potential theory; regularity; stability; MATHEMATICS; MATEMATIK;

    Sammanfattning : During the last decade, potential theory and p-harmonic functions have been developed in the setting of doubling metric measure spaces supporting a p-Poincar´e inequality. This theory unifies, and has applications in several areas of analysis, such as weighted Sobolev spaces, calculus on Riemannian manifolds and Carnot groups, subelliptic differential operators and potential theory on graphs. LÄS MER

  5. 4. Proportionalitetsbegreppet i den svenska gymnasiematematiken – en studie om läromedel och nationella prov : [The Concept of Proportionality in the Swedish Upper Secondary School Mathematics – a Study of Textbooks and National Examinations]

    Författare :Anna L.V. Lundberg; Göteborgs universitet; []
    Nyckelord :SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Proportion; upper secondary school; textbooks; national course tests; curriculum; ATD; The anthropological theory of the didactics; missing value; numerical comparison; Qualitative prediction and comparison Nyckelord sv : Proportionalitets begreppet; proportionalitet; Matematik A; gymnasiet; läromedel; nationella prov; läroplaner; Lpf 94; ATD; reguladetri; saknat värde; missing value; numerical comparison; Qualitative prediction and comparison;

    Sammanfattning : Proportionalitet är ett centralt begrepp i skolmatematiken. Begreppet introduceras i de lägre stadierna och återkommer i så gott som samtliga kurser från årskurs 9 tillsista kursen på gymnasiet. Det övergripande syftet med denna studie är att undersöka hur det matematiska begreppet proportionalitet hanteras i den svenska gymnasieskolan. LÄS MER

  7. 5. Some Extensions of Poincaré-Bendixson Theory Applied to a Resonant Converter

    Författare :Jan Melin; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Datalogi; numerisk analys; system; kontroll; numerical analysis; systems; control; Naturvetenskap; Computer science; Natural science; Poincaré-Bendixson Theory; Limit Cycles; Resonant Converter; Distributions; Piecewise Linear Systems;

    Sammanfattning : In this thesis existence and uniqueness of limit cycles are shown for a resonant converter, by extending Poincaré-Bendixson theory to non-smooth vector fields. We discuss relevant control theory and the role of simulations... LÄS MER