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National Repository of Grey Literature

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	Quadratic polynomials over binary fields Navrátilová, Barbora ; Tomáš, Jiří (referee) ; Kureš, Miroslav (advisor) This bachelor's work concerns to quadratic polynomials over binary fields which induce bijection. We specify conditions for the bijection on the particular binary field with a view to further examine the polynomial automorphisms inducing a bijection. Detailed record
	Continued fractions with prescribed period Kuděj, Martin ; Kala, Vítězslav (advisor) ; Francírek, Pavel (referee) This thesis concerns continued fractions of quadratic irrationals. Their basic properties are shown, including mentioning necessary theory to do this. Then, this theory is used to find the form of continued fractions of square roots of positive nonsquare integers and their symmetric part (a1, . . . , ak). Next, for a given symmetric sequence of positive integers (a1, . . . , ak), we find all natural numbers N, whose square root has a continued fraction with symmetric part (a1, . . . , ak). These positive N will be described as values of a certain quadratic polynomial, whose properties are studied as well in the thesis. 1 Detailed record
	Quadratic polynomials over binary fields Navrátilová, Barbora ; Tomáš, Jiří (referee) ; Kureš, Miroslav (advisor) This bachelor's work concerns to quadratic polynomials over binary fields which induce bijection. We specify conditions for the bijection on the particular binary field with a view to further examine the polynomial automorphisms inducing a bijection. Detailed record

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