Content deleted Content added
→Open set condition: improve |
|||
Line 12:
Introduced in 1946 by P.A.P Moran,<ref>Moran, P.A.P. (1946) Additive Functions of Intervals and Hausdorff Measure. Proceedings-Cambridge Philosophical Society, 42, 15-23.
https://doi.org/10.1017/S0305004100022684</ref> the open set condition is used to compute the dimensions of certain self-similar fractals, notably the Sierpinski Gasket.
An equivalent statement of the open set condition is to require that the s-dimensional [[Hausdorff measure]] of the set is greater than zero.<ref>https://www.math.cuhk.edu.hk/conference/afrt2012/slides/Wen_Zhiying.pdf</ref>
===Computing Hausdorff measure===
| |||