National Repository of Grey Literature 12 records found  previous11 - 12  jump to record: Search took 0.01 seconds. 
Algorithm for word morphisms fixed points
Matocha, Vojtěch ; Holub, Štěpán (advisor) ; Žemlička, Jan (referee)
In the present work we study the first polynomial algorithm, which tests if the given word is a fixed point of a nontrivial morphism. This work contains an improved worst-case complexity estimate O(m · n) where n denotes the word length and m denotes the size of the alphabet. In the second part of this work we study the union-find problem, which is the crucial part of the described algorithm, and the Ackermann function, which is closely linked to the union-find complexity. We summarize several common methods and their time complexity proofs. We also present a solution for a special case of the union-find problem which appears in the studied algorithm. The rest of the work focuses on a Java implementation, whose time tests correspond to improved upper bound, and a visualization useful for particular entries.
The continuous and discrete logistic equation
Ficza, Ildikó ; Opluštil, Zdeněk (referee) ; Čermák, Jan (advisor)
This bachelor's thesis deals with the continuous and discrete logistic equation. The objective of this thesis is to analyze these equations and compare both cases.

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