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What is Cantor Fractals Sequence Analysis about?
The paper discusses topological and geometrical properties of a sequence of Cantor fractals, introducing a new definition for these fractals based on an arbitrary odd positive integer. It establishes an explicit formula for the fractals and proves several properties, including that they are nowhere dense, totally disconnected, perfect, uncountable, and have Lebesgue measure zero. Additionally, it explores the Hausdorff dimensions of these fractals, highlighting their significance in fractal geometry.
- Author
- 陶鑫勇
- Language
- EN