| BERÁNEK, Jaroslav. Metric Spaces and Continuity of Quadratic Function’s Iterative Roots. In Jaromír Baštinec and Miroslav Hrubý. Mathematics, Information Technologies and Applied Sciences 2017, post-conference proceedings of extended versions of selected papers. první. Brno: Univerzita Obrany, 2017, p. 33-42. ISBN 978-80-7582-026-6. |
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@inproceedings{1405278,
author = {Beránek, Jaroslav},
address = {Brno},
booktitle = {Mathematics, Information Technologies and Applied Sciences 2017, post-conference proceedings of extended versions of selected papers},
edition = {první},
editor = {Jaromír Baštinec and Miroslav Hrubý},
keywords = {Quadratic function; iteration; iterative root; uncountable set; metric space.},
howpublished = {paměťový nosič},
language = {eng},
location = {Brno},
isbn = {978-80-7582-026-6},
pages = {33-42},
publisher = {Univerzita Obrany},
title = {Metric Spaces and Continuity of Quadratic Function’s Iterative Roots},
year = {2017}
}
TY - JOUR
ID - 1405278
AU - Beránek, Jaroslav
PY - 2017
TI - Metric Spaces and Continuity of Quadratic Function’s Iterative Roots
PB - Univerzita Obrany
CY - Brno
SN - 9788075820266
KW - Quadratic function
KW - iteration
KW - iterative root
KW - uncountable set
KW - metric space.
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 includes one interesting and atypical approach to the continuity of second iterative roots of quadratic function q(x) = x*2. In the first part of the paper there is mentioned the description of second iterative roots of this quadratic function and the proposition that the set of discontinuous second iterative roots of quadratic function q is uncountable. In the second part there is constructed quasi-metric d, so that each second iterative root of quadratic function q is a continuous mapping of space (R,d) into itself.
ER -
BERÁNEK, Jaroslav. Metric Spaces and Continuity of Quadratic Function’s Iterative Roots. In Jaromír Baštinec and Miroslav Hrubý. \textit{Mathematics, Information Technologies and Applied Sciences 2017, post-conference proceedings of extended versions of selected papers}. první. Brno: Univerzita Obrany, 2017, p.~33-42. ISBN~978-80-7582-026-6.
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