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Circles and hermitian matrices

Zdenka Mihelič (2016) Circles and hermitian matrices. Diploma thesis.

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    Abstract

    Every circle in the complex plane is presented as a solution of a complex equation and thus as a hermitian matrix of dimension 2 × 2. Not every hermitian matrix is obtained in this way, but we take the hermitian matrices as generalized circles, these include also lines in the complex plane. We use this to study inversion in a circle and the stereographic projection.

    Item Type: Thesis (Diploma thesis)
    Keywords: analytic geometry of circles, complex numbers, circle, hermitian matrix, inversion, stereographic projection
    Number of Pages: 61
    Language of Content: Slovenian
    Mentor / Comentors:
    Mentor / ComentorsIDFunction
    izr. prof. dr. Matija CenceljMentor
    asist. dr. Tadej StarčičComentor
    Link to COBISS: http://www.cobiss.si/scripts/cobiss?command=search&base=50126&select=(ID=11274057)
    Institution: University of Ljubljana
    Department: Faculty of Education, Faculty of Mahtematics and Physics
    Item ID: 4009
    Date Deposited: 26 Oct 2016 14:14
    Last Modified: 26 Oct 2016 14:14
    URI: http://pefprints.pef.uni-lj.si/id/eprint/4009

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