Publication details
Iterative roots of set transformations and their use
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Proceedings |
| Conference | Mathematics, Information Technologies and Applied Sciences 2015, extended versions of selected papers |
| MU Faculty or unit | |
| Citation | |
| Field | Pedagogy and education |
| Keywords | Orbit; cycle; iteration; iterative root |
| 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 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. |