Hyperbolické funkce z hlediska teorie iterací
| Title in English | The hyperbolic functions from the point of view of theory of iteration |
|---|---|
| Authors | |
| Year of publication | 2016 |
| Type | Article in Proceedings |
| Conference | Matematika, informační technologie a aplikované vědy (MITAV 2016) |
| MU Faculty or unit | |
| Citation | |
| Field | Pedagogy and education |
| Keywords | Hyperbolic functions; theory of iteration; iterative roots; vertex graph; monounary algebra |
| Description | 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 representing of functions from the point of view of an iteration theory. On the basis of real functions hyperbolic sine and cosine there are shown 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) = cosh x-1, where a formal description of its second iterative roots is demonstrated. |