負次元自己相似集合について(情報表現学科)

概要

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This paper introduces a brand-new concept of negative dimension, which has been regarded as a scientific function or a so pathological theory that no one dears to mention to it. First I would like to show a lot of negative dimensional self similar sets as examples embedded in normal Euclidean spaces. The notion of negative dimension is contradictory to familiar well-established definitions of dimension, such as topological or Hausdorff dimensions. But I try to find a reasonable ground for supporting the concept of negative dimension especially in the case of self similar sets. It would be of course preferable to generalize the negative and positive dimensions into a single concept in the future.
尚美学園大学の論文
2002-03-31