National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Floor function and fractional part of the real number
Bílek, Vladimír ; Novotná, Jarmila (advisor) ; Pilous, Derek (referee)
The aim of my bachelor thesis is to acquaint the reader with the floor function, ceiling functions and with fractional part of the real number, and show the feasibility of selected equations of one unknown that contains the floor functions of the real number. In the introductory part of my thesis, necessary concepts, notations and definitions of these functions are defined. The main part of the work is devoted to a description of strategies for finding solutions to following four types of equations: , and . Derived general procedure for solving the first equation and a description of the strategy for finding solutions to the remaining three equations are the greatest benefits of my thesis. The procedures are demonstrated by examples in each chapter. The final section covers some types of unsolved problems from different areas of mathematics concerning this topic.
Floor function and fractional part of the real number
Bílek, Vladimír ; Novotná, Jarmila (advisor) ; Pilous, Derek (referee)
The aim of my bachelor thesis is to acquaint the reader with the floor function, ceiling functions and with fractional part of the real number, and show the feasibility of selected equations of one unknown that contains the floor functions of the real number. In the introductory part of my thesis, necessary concepts, notations and definitions of these functions are defined. The main part of the work is devoted to a description of strategies for finding solutions to following four types of equations: , and . Derived general procedure for solving the first equation and a description of the strategy for finding solutions to the remaining three equations are the greatest benefits of my thesis. The procedures are demonstrated by examples in each chapter. The final section covers some types of unsolved problems from different areas of mathematics concerning this topic.

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