Sökning: "composition of polynomials"

Hittade 5 avhandlingar innehållade orden composition of polynomials.

  1. 1. Approximation of pluricomplex Green functions : A probabilistic approach

    Författare :Azza Alghamdi; Maciej Klimek; Kaj Nyström; Anna Zdunik; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; pluricomplex Green function; pluriregular sets; Bernstein-Markov property; Bergman function; nearly orthonormal polynomials; orthogonal polynomials; Monte Carlo simulation; composite Julia sets; Julia sets; iterated function systems; the chaos game.;

    Sammanfattning : This PhD thesis focuses on probabilistic methods of approximation of pluricomplex Green functions and is based on four papers.The thesis begins with a general introduction to the use of pluricomplex Green functions in multidimensional complex analysis and a review of their main properties. LÄS MER

  3. 2. 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

  4. 3. Construction of Representations of Commutation Relations by Linear Operators in Banach Spaces

    Författare :Domingos Djinja; Sergei Silvestrov; Samuel Lopes; Mälardalens universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics Applied Mathematics; matematik tillämpad matematik;

    Sammanfattning : This thesis is devoted to the construction and investigation of some properties of pairs of linear operators (A, B) (representations) satisfying commutation relations AB=BF(A), where F denotes certain polynomial. Commutation relations of this kind are called "covariance type" and finding their representations is equivalent to solving operator equations. LÄS MER

  5. 4. Thermodynamic Simulation of HCCI Engine Systems

    Författare :Olof Erlandsson; Förbränningsmotorer; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; HAM; Turbine; Compressor; Turbocharger; Engine; Modeling; HCCI; Simulation; Motors and propulsion systems; Motorer; framdrivningssystem;

    Sammanfattning : This thesis focuses on engine system simulation using thermodynamics and chemical kinetic models to investigate the performance and efficiency of Homogeneous Charge Compression Ignition (HCCI) engines for stationary applications. It includes the development of software as well as models for engine, turbocharger, intercooler, inlet and exhaust manifolds, wastegate valve, inlet air humidifier, inlet air heater and more. LÄS MER

  7. 5. On the asymptotic spectral distribution of random matrices : closed form solutions using free independence

    Författare :Jolanta Maria Pielaszkiewicz; Dietrich von Rosen; Martin Singull; Maciej A. Nowak; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Spectral distribution; R-transform; Stieltjes transform; Free probability; Freeness; Asymptotic freeness;

    Sammanfattning : The spectral distribution function of random matrices is an information-carrying object widely studied within Random matrix theory. In this thesis we combine the results of the theory together with the idea of free independence introduced by Voiculescu (1985). LÄS MER