Zhou Zuo
Abstract
In order to count the Hausdorff measure,a computation formula for the general fractals and a reduced one for the self similar sets satisfying the open set condition are obtained.As an application,a better upper limit to the Hausdorff measure of the Sierpinski gasket is achieved.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
In order to count the Hausdorff measure,a computation formula for the general fractals and a reduced one for the self similar sets satisfying the open set condition are obtained.As an application,a better upper limit to the Hausdorff measure of the Sierpinski gasket is achieved.
Key concepts: Hausdorff measure, Mathematics, Measure (data warehouse), Outer measure, Hausdorff distance, Computation, Limit (mathematics), Fractal