Polynomials and Hausdorff matrices [PDF]
Pacific Journal of Mathematics, 1974 openaire +2 more sources
On the Hausdorff measure of the Cantor set － An introduction to Hausdorff measures －
n 次元 Euclid 空間の中には，曲線や超曲面など，本質的に空間の次元 n よりも小さい次元の図形が存在する．Hausdorff 測度は，これらの図形をそれに相応しい次元でその大きさを測るための標準的な道具である．その次元をその図形のHausdorff 次元と呼ぶが，この次元が整数でない図形も存在する．本稿においては，Hausdorff 測度の定義，基本的な性質，及び，最も簡単なfractal 図形であるCantor 集合のHausdorff 次元，Hausdorff 測度について ...
岡田,周人, 佐藤,得志
core
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