Publication details
Metrické prostory a iterativní kořeny kvadratické funkce
| Title in English | Metric Spaces and Iterative Roots of Quadratic Function |
|---|---|
| Authors | |
| Year of publication | 2017 |
| Type | Article in Proceedings |
| Conference | Matematika, informační technologie a aplikované vědy (MITAV 2017) |
| MU Faculty or unit | |
| Citation | |
| Field | Pedagogy and education |
| Keywords | Quadratic function; iteration; iterative root; uncountable set; metric space |
| 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 includes one interesting and atypical approach to continuity of second iterative roots of the quadratic function q(x) = x2. In the first part of the clause 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 the quadratic function q is uncountable. In the following second part there is constructed a quasi-metric d, so that each second iterative root of quadratic function q is a continuous map of a space (R, d) into itself. |