BERÁNEK, Jaroslav. Hyperbolic sine and cosine from the iteration theory point of view. In Jaromír Baštinec and Miroslav Hrubý. Mathematics, Information Technologies and Applied Sciences 2016, post-conference proceedings of extended versions of selected papers. první. Brno: Univerzita Obrany, 2016, p. 31-41. ISBN 978-80-7231-400-3. |
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@inproceedings{1366316, author = {Beránek, Jaroslav}, address = {Brno}, booktitle = {Mathematics, Information Technologies and Applied Sciences 2016, post-conference proceedings of extended versions of selected papers}, edition = {první}, editor = {Jaromír Baštinec and Miroslav Hrubý}, keywords = {Hyperbolic functions; theory of iteration; iterative roots; vertex graph; mono-unary algebra}, howpublished = {paměťový nosič}, language = {eng}, location = {Brno}, isbn = {978-80-7231-400-3}, pages = {31-41}, publisher = {Univerzita Obrany}, title = {Hyperbolic sine and cosine from the iteration theory point of view}, year = {2016} }
TY - JOUR ID - 1366316 AU - Beránek, Jaroslav PY - 2016 TI - Hyperbolic sine and cosine from the iteration theory point of view PB - Univerzita Obrany CY - Brno SN - 9788072314003 KW - Hyperbolic functions KW - theory of iteration KW - iterative roots KW - vertex graph KW - mono-unary algebra 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 an example of a discrete representation of functions from the point of view of an iteration theory. On the basis of two real functions, the hyperbolic sine and cosine are represented through their vertex graphs and the existence of iterative roots is solved. The article includes also basic information and examples of isomorphic mono-unary algebras. In the conclusion of the article there is given a discrete description of a function f(x)=coshx-1, where a formal description of its second iterative roots is demonstrated. ER -
BERÁNEK, Jaroslav. Hyperbolic sine and cosine from the iteration theory point of view. In Jaromír Baštinec and Miroslav Hrubý. \textit{Mathematics, Information Technologies and Applied Sciences 2016, post-conference proceedings of extended versions of selected papers}. první. Brno: Univerzita Obrany, 2016, p.~31-41. ISBN~978-80-7231-400-3.
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