Sökning: "Naturvetenskap Matematik Algebra och logik"

Visar resultat 11 - 15 av 111 avhandlingar innehållade orden Naturvetenskap Matematik Algebra och logik.

  1. 11. Waring-type problems for polynomials : Algebra meets Geometry

    Författare :Alessandro Oneto; Boris Shapiro; Brian Harbourne; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; polynomials; Waring problems; Hilbert series; fat points; power ideals; secant varieties; Mathematics; matematik;

    Sammanfattning : In the present thesis we analyze different types of additive decompositions of homogeneous polynomials. These problems are usually called Waring-type problems and their story go back to the mid-19th century and, recently, they received the attention of a large community of mathematicians and engineers due to several applications. LÄS MER

  3. 12. Bounds on Hilbert Functions

    Författare :Ornella Greco; Mats Boij; Aldo Conca; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Hilbert Functions; Commutative Algebra;

    Sammanfattning : This thesis is constituted of two articles, both related to Hilbert functions and h-vectors. In the first paper, we deal with h-vectorsof reduced zero-dimensional schemes in the projective plane, and, in particular, with the problem of finding the possible h-vectors for the union of two sets of points of given h-vectors. LÄS MER

  4. 13. Effective Domains and Admissible Domain Representations

    Författare :Göran Hamrin; Viggo Stoltenberg-Hansen; Erik Palmgren; Dieter Spreen; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Logic; symbolic and mathematical; domain theory; admissible domain representation; cartesian closure; effective domains; κ-sequential space; limit space; Matematisk logik; Mathematics; Matematik; Mathematical logic;

    Sammanfattning : This thesis consists of four papers in domain theory and a summary. The first two papers deal with the problem of defining effectivity for continuous cpos. LÄS MER

  5. 14. 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. 15. Constructive Newton–Puiseux Theorem, Sheaf Model of the Separable Closure and Dynamic Evaluation

    Författare :Bassel Mannaa; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Newton–Puiseux; Algebraic curve; Sheaf model; Dynamic evaluation; Algebraic number; Grothendieck topos; Grothendieck topos;

    Sammanfattning : Computing the Puiseux expansions of a plane algebraic curve defined by an affine equation over an algebraically closed field is a an important algorithm in algebraic geometry. This is the so-called Newton–Puiseux Theorem. The termination of this algorithm, however, is usually justified by non-constructive means. LÄS MER