论文标题
豪斯多夫尺寸定理的分形的概括
A Generalization of the Hausdorff Dimension Theorem for Fractals
论文作者
论文摘要
在这项工作中，自然界或虚拟世界中存在多少个分形，我们使用mandelbrots的基本定义部分回答了第二个问题，其数量及其Hausdorff Dimension和Lebesgue量度。我们证明了具有双变量功能的hausdorff尺寸和给定的Lebesgue度量的虚拟分形的存在。对于其他分形维度，这个问题仍未得到答复。
How many fractals exist in nature or the virtual world In this work, we partially answer the second question using Mandelbrots fundamental definition of fractals and their quantities of the Hausdorff dimension and Lebesgue measure. We prove the existence of beth-two of virtual fractals with a Hausdorff dimension of a bivariate function of them and the given Lebesgue measure. The question remains unanswered for other fractal dimensions.
