Publication details
Metric Spaces and Continuity of Quadratic Function’s Iterative Roots
| Authors | |
|---|---|
| Year of publication | 2017 |
| Type | Article in Proceedings |
| Conference | Mathematics, Information Technologies and Applied Sciences 2017, post-conference proceedings of extended versions of selected papers |
| 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 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. |