| BERÁNEK, Jaroslav. Iterative roots of set transformations and their use. In Miroslav Hrubý, Šárka Hošková-Mayerová. Mathematics, Information Technologies and Applied Sciences 2015, extended versions of selected papers. první. Brno: Univerzita Obrany, 2015, p. 21-34. ISBN 978-80-7231-436-2. |
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@inproceedings{1320525,
author = {Beránek, Jaroslav},
address = {Brno},
booktitle = {Mathematics, Information Technologies and Applied Sciences 2015, extended versions of selected papers},
edition = {první},
editor = {Miroslav Hrubý, Šárka Hošková-Mayerová},
keywords = {Orbit; cycle; iteration; iterative root},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Brno},
isbn = {978-80-7231-436-2},
pages = {21-34},
publisher = {Univerzita Obrany},
title = {Iterative roots of set transformations and their use},
year = {2015}
}
TY - JOUR
ID - 1320525
AU - Beránek, Jaroslav
PY - 2015
TI - Iterative roots of set transformations and their use
PB - Univerzita Obrany
CY - Brno
SN - 9788072314362
KW - Orbit
KW - cycle
KW - iteration
KW - iterative root
N2 - The article was created as the result of the research oriented at the innovation of the content and forms of teaching Mathematics at universities. The article is devoted to the problem of existence and construction of iterative roots of mappings of the sets into themselves and their possible use while solving tasks. The main part of the article is devoted to the application of the stated theory. First, the necessary and sufficient condition for the existence of iterative roots of all orders is given, further the condition is specified for the existence of the iterative root of order two.
ER -
BERÁNEK, Jaroslav. Iterative roots of set transformations and their use. In Miroslav Hrubý, Šárka Hošková-Mayerová. \textit{Mathematics, Information Technologies and Applied Sciences 2015, extended versions of selected papers}. první. Brno: Univerzita Obrany, 2015, p.~21-34. ISBN~978-80-7231-436-2.
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