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This optinal subject covers the following topics: symmetry and polynomials, symmetry and relations, symmetry and groups, symmetry and matrices, symmetry and graphs.
Last update: NOVOTNAJ/PEDF.CUNI.CZ (01.09.2008)
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The goal of this course is to enlarge participants' knowledge of algebra by emphasising relationships in algebra and outside it. Last update: NOVOTNAJ/PEDF.CUNI.CZ (31.08.2008)
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Last update: NOVOTNAJ/PEDF.CUNI.CZ (31.08.2008)
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Lecture & seminar Last update: NOVOTNAJ/PEDF.CUNI.CZ (31.08.2008)
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Vypracování seminární práce Zápočtový test; pro test jsou možné dva opravné pokusy Last update: Novotná Jarmila, prof. RNDr., CSc. (08.09.2017)
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Symmetry and polynomials: Polynomials with several variables, symmetric polynomials; their use for solving algebraic equations with one variable. Symmetry and relations: Symmetric and skew-symmetric relations, types of relations, their properties and applications. Symmetry and groups: Alternating groups, their usage. Link to geometry. Symmetry and matrices: Symmetric matrices, their link to systems of linear equations and quadratic forms. Symmetry and graphs: Symmetric graphs, symmetrization of a graph.
Last update: NOVOTNAJ/PEDF.CUNI.CZ (31.08.2008)
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