Browsing by Subject "Chebyshev polynomials"
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Item type:Article, Access status: Open Access , Application of Chebyshev and trigonometric polynomials to the approximation of a solution of a singular integral equation with a multiplicative Cauchy kernel in the half-plane(2008) Karczmarek, PawełIn this article Chebyshev and trigonometric polynomials are used to constructan approximate solution of a singular integral equation with a multiplicative Cauchy kernelin the half-plane.Item type:Article, Access status: Open Access , Application of modified chebyshev polynomials in asymmetric cryptography(Wydawnictwa AGH, 2019) Lawnik, Marcin; Kapczyński, AdrianBased on Chebyshov polynomials, one can create an asymmetric cryptosystem that allows for secure communication. Such a cryptosystem is based on the fact that these polynomials form a semi-group due to the composition operation. This article presents two new cryptosystems based on modifications of Chebyshev's polynomials. The presented analysis shows that their security is the same as in the case of algorithms associated with the problem of discrete logarithms. The article also shows methods that allow for the faster calculation of Chebyshev polynomials.Item type:Thesis, Access status: Restricted , Twierdzenie Pólyi o wielomianach oraz wybrane zastosowania wielomianów Czebyszewa(Data obrony: 2012-07-04) Dyrcz, Anna
Wydział Matematyki StosowanejItem type:Thesis, Access status: Restricted , Wielomiany ortogonalne. Własności ogólne(Data obrony: 2010-07-07) Majewska, Magdalena
Wydział Matematyki StosowanejItem type:Thesis, Access status: Restricted , Zastosowanie macierzy Jacobiego w analizie spektralnej pewnych klas grafów nieskończonych(Data obrony: 2016-11-17) Mucha, Magdalena
Wydział Matematyki Stosowanej