Essays about: "Quadratic forms"

Showing result 1 - 5 of 6 essays containing the words Quadratic forms.

  1. 1. Octonion Algebras over Schemes and the Equivalence of Isotopes and Isometric Quadratic Forms

    University essay from Uppsala universitet/Matematiska institutionen

    Author : Victor Hildebrandsson; [2023]
    Keywords : Algebraic geometry; octonion algebras;

    Abstract : Octonion algebras are certain algebras with a multiplicative quadratic form. In 2019, Alsaody and Gille showed that, for octonion algebras over unital commutative rings, there is an equivalence between isotopes and isometric quadratic forms. READ MORE

  3. 2. Three Perspectives of Schiemann’s Theorem

    University essay from Göteborgs universitet/Institutionen för matematiska vetenskaper

    Author : Felix Rydell; [2020-06-23]
    Keywords : Lattice theory; Minkowski reduction; flat torus; isospectrality; spectral determination; positive definite quadratic forms; Alexander Schiemann.;

    Abstract : Interest in the field of spectral geometry, the study of how analytic and geometric properties of manifolds are related, was sparked when Marc Kac in 1966 asked the question “can one hear the shape of a drum?”. One of the problems that garnered attention because of this was whether the Laplace spectrum of a flat torus determines its shape, even though it was not new. READ MORE

  4. 3. Counting Class Numbers

    University essay from KTH/Matematik (Avd.)

    Author : Tobias Magnusson; [2018]
    Keywords : ;

    Abstract : The following thesis contains an extensive account of the theory of class groups. First the form class group is introduced through equivalence classes of certain integral binary quadratic forms with a given discriminant. The sets of classes is then turned into a group through an operation referred to as "composition''. READ MORE

  5. 4. Approximating extrema of quadratic forms using Krylov subspaces

    University essay from Lunds universitet/Matematik LTH

    Author : Simon Hallborn; [2017]
    Keywords : Approximations; Quadratic forms; Krylov subspaces; Eigenvalue problems; Norms; Logarithmic norms; Mathematics and Statistics;

    Abstract : In this thesis approximations to quadratic forms using Krylov subspaces are presented. These quantities are approximations of the norm and logarithmic norm of a matrix. In order to find these quantities an eigenvalue problem has to be solved, but because of limited storage and time, this is not feasible in practice with large matrices. READ MORE

  6. 5. Environmental Kuznets Curve for Carbon Intensity : a Global Survey

    University essay from IHH, Nationalekonomi; IHH, Economics, Finance and Statistics

    Author : Fernando Figueres; Elena Popova; [2011]
    Keywords : EKC; Environmental Kuznets curve; Carbon Emission Intensity; GDP per capita; fossil fuels; alternative and nuclear energy; rural population; life expectancy at birth;

    Abstract : The Environmental Kuznets Curve is an inverted U-shaped relationship which demonstrates how environmental degradation increases as countries begin to develop and lowers as they become wealthier. The classical EKC measures the effects of GDP per capita (a country’s wealth) on pollu-tion. READ MORE