A Study on the Hausdorff Upper Measure of Generalized Sierpinski Gasket and Its Extended Form
Zhang Yuan-kang, Qi Xue
Abstract
Zhang Yuan-kang, Qi Xue
Abstract
There are many kinds of self similar fractal sets,of which there are many kinds of self similar fractal sets on measure is very difficult to achieve,even if can find it is hard to find the relatively high degree of approximation value,this article attempts to explore the method for solving the generalized Sierpinski gasket the Hausdorff upper measure,this method is used to estimate the Hausdorff upper measure more accurate approximation. Finally,the generalized Sierpinski gasket try to further promote and explore its Hausdorff upper measure.
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There are many kinds of self similar fractal sets,of which there are many kinds of self similar fractal sets on measure is very difficult to achieve,even if can find it is hard to find the relatively high degree of approximation value,this article attempts to explore the method for solving the generalized Sierpinski gasket the Hausdorff upper measure,this method is used to estimate the Hausdorff upper measure more accurate approximation. Finally,the generalized Sierpinski gasket try to further promote and explore its Hausdorff upper measure.
Key concepts: Sierpinski triangle, Hausdorff measure, Measure (data warehouse), Mathematics, Fractal, Outer measure, Gasket, Sierpinski carpet