Sökning: "matematik algebra"

Visar resultat 21 - 25 av 263 avhandlingar innehållade orden matematik algebra.

  1. 21. Systems of Linear First Order Partial Differential Equations Admitting a Bilinear Multiplication of Solutions

    Författare :Jens Jonasson; Stefan Rauch; Sergio Benenti; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Cauchy–Riemann equations; holomorphic functions; algebra; MATHEMATICS; MATEMATIK;

    Sammanfattning : The Cauchy–Riemann equations admit a bilinear multiplication of solutions, since the product of two holomorphic functions is again holomorphic. This multiplication plays the role of a nonlinear superposition principle for solutions, allowing for construction of new solutions from already known ones, and it leads to the exceptional property of the Cauchy–Riemann equations that all solutions can locally be built from power series of a single solution z = x + iy ∈ C. LÄS MER

  3. 22. On relations between classical and quantum theories of information and probability

    Författare :Peter Nyman; Andrei Khrennikov; Sergei Kozyrev; Linnéuniversitetet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Born’s rule; Clifford algebra; Deutsch-Josza algorithm; Grover’s algorithm; Hyperbolic interferences; Inverse Born’s rule problem; Probabilistic data; Quantum computing; Quantum error-correcting; Quantum-like representation algorithm; Shor’s algorithm; Simon’s algorithm; Simulation of quantum algorithms; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

    Sammanfattning : In this thesis we study quantum-like representation and simulation of quantum algorithms by using classical computers.The quantum--like representation algorithm (QLRA) was  introduced by A. Khrennikov (1997) to solve the ``inverse Born's rule problem'', i.e. LÄS MER

  4. 23. Stratified algebras and classification of tilting modules

    Författare :Elin Persson Westin; Volodymyr Mazorchuk; Aslak Buan; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Representation theory; Generalized tilting module; Exceptional sequence; Quasi-hereditary algebra; Standardly stratified algebra; Essential order; Category O; S-subcategory; Projective dimension; Finitistic dimension; Mathematics; Matematik;

    Sammanfattning : This thesis contains three papers in representation theory of algebras. It mainly studies two types of algebras; quasi-hereditary algebras and standardly stratified algebras. LÄS MER

  5. 24. 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

  7. 25. Problems in the Classification Theory of Non-Associative Simple Algebras

    Författare :Erik Darpö; Ernst Dieterich; Karl-Heinz Fieseler; William Crawley-Boevey; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Division algebra; flexible algebra; normal form; composition algebra; absolute valued algebra; vector product; rotation.; MATHEMATICS; MATEMATIK;

    Sammanfattning : In spite of its 150 years history, the problem of classifying all finite-dimensional division algebras over a field k is still unsolved whenever k is not algebraically closed. The present thesis concerns some different aspects of this problem, and the related problems of classifying all composition and absolute valued algebras. LÄS MER