A Generalization of the Hausdorff Dimension Theorem for Deterministic Fractals
How many fractals exist in nature or the virtual world? In this paper, we partially answer the second question using Mandelbrot’s fundamental definition of fractals and their quantities of the Hausdorff dimension and Lebesgue measure. We prove the existence of aleph-two of virtual fractals with a Ha...
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Format: | Article |
Language: | English |
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MDPI AG
2021-07-01
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Series: | Mathematics |
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Online Access: | https://www.mdpi.com/2227-7390/9/13/1546 |