| Автор | Newns, W. F. |
| Дата выпуска | 1956 |
| dc.description | Let f be a continuous complex-valued function of a real parameter whose real and imaginary parts are of bounded variation in the range (a, b) of the parameter, so that the range of f is a rectifiable plane curve. The main results connecting the arc-length s with the parametrization are as follows:Theorem 1 (Tonelli). For any rectifiable curve,equality holding for all α, β (a ≤ α < β ≤ b) if and only if f is absolutely continuous in (a, b). |
| Формат | application.pdf |
| Издатель | Cambridge University Press |
| Копирайт | Copyright © Edinburgh Mathematical Society 1956 |
| Название | A note on rectifiable curves |
| Тип | research-article |
| DOI | 10.1017/S0950184300000264 |
| Electronic ISSN | 0950-1843 |
| Print ISSN | 0950-1843 |
| Журнал | Edinburgh Mathematical Notes |
| Том | 40 |
| Первая страница | 12 |
| Последняя страница | 14 |
| Аффилиация | Newns W. F.; The University |
