Sökning: "quadratic functions"

Visar resultat 1 - 5 av 62 avhandlingar innehållade orden quadratic functions.

  1. 1. Piecewise Linear Control Systems

    Författare :Mikael Johansson; Institutionen för reglerteknik; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Piecewise quadratic functions; Linear matrix inequalities; Convex optimization; Optimal control; Performance analysis; Piecewise linear Lyapunov functions; Piecewise quadratic Lyapunov functions; Quadratic stability; Lyapunov stability; Piecewise linear systems; Nonlinear systems; Fuzzy systems; Hybrid systems.; Automation; robotics; control engineering; Automatiska system; robotteknik; reglerteknik;

    Sammanfattning : This thesis treats analysis and design of piecewise linear control systems. Piecewise linear systems capture many of the most common nonlinearities in engineering systems, and they can also be used for approximation of other nonlinear systems. LÄS MER

  3. 2. Limit Theorems for Lattices and L-functions

    Författare :Kristian Holm; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Lattices; L-functions;

    Sammanfattning : This PhD thesis investigates distributional questions related to three types of objects: Unimodular lattices, symplectic lattices, and Hecke L-functions of imaginary quadratic number fields of class number 1. In Paper I, we follow Södergren and examine the asymptotic joint distribution of a collection of random variables arising as geometric attributes of the N = N(n) shortest non-zero lattice vectors (up to sign) in a random unimodular lattice in n-dimensional Euclidean space, as the dimension n tends to infinity: Normalizations of the lengths of these vectors, and normalizations of the angles between them. LÄS MER

  4. 3. Computational dynamics – real and complex

    Författare :Anna Belova; Warwick Tucker; Denis Gaidashev; Àlex Haro Provinciale; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Continued fractions; Generating functions; Rotation numbers; Rigorous computations; Interval analysis; Interval arithmetic; Multipliers; Quadratic map; Kuramoto-Sivashinsky equation; Mathematics; Matematik;

    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

  5. 4. "Vad skulle x kunna vara?" : andragradsekvation och andragradsfunktion som objekt för lärande

    Författare :Constanta Olteanu; Shirley Booth; Torgny Ottosson; Ingemar Holgersson; Umeå universitet; []
    Nyckelord :SOCIAL SCIENCES; SAMHÄLLSVETENSKAP; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; NATURAL SCIENCES; NATURVETENSKAP; parameters; unknown quantity; argument; second degree equations; quadratic functions; teaching; mathematics education; experience; theory of variation; dimensions of variation; Education; Pedagogik; SOCIAL SCIENCES; SAMHÄLLSVETENSKAP; MATHEMATICS; MATEMATIK;

    Sammanfattning : Algebraic equations and functions play an important role in various mathematical topics, including algebra, trigonometry, linear programming and calculus. Accordingly, various documents, such as the most recent Swedish curriculum (Lpf 94) for upper secondary school and the course syllabi in mathematics, specify what the students should learn in Mathematics Course B. LÄS MER

  7. 5. ”Vad skulle x kunna vara?” : andragradsekvation och andragradsfunktion som objekt för lärande

    Författare :Constanta Olteanu; Torgny Ottosson; Ingemar Holgersson; Shirley Booth; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; parameters; unknown quantity; argument; second degree equations; quadratic functions; teaching; mathematics education; experience; theory of variation; dimensions of variation; MATHEMATICS; MATEMATIK;

    Sammanfattning : Algebraic equations and functions play an important role in various mathematical topics, including algebra, trigonometry, linear programming and calculus. Accordingly, various documents, such as the most recent Swedish curriculum (Lpf 94) for upper secondary school and the course syllabi in mathematics, specify what the students should learn in Mathematics Course B. LÄS MER