Chao Ma
Abstract
We study the Hausdorff measure of linear Cantor set E , on the unit interval, under the strong seperated condition. We give a necessary and sufficient condition for ℋ(E)=∣E∣ ° by using the contracting ratio and the first gap. This condition is easy to use.
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We study the Hausdorff measure of linear Cantor set E , on the unit interval, under the strong seperated condition. We give a necessary and sufficient condition for ℋ(E)=∣E∣ ° by using the contracting ratio and the first gap. This condition is easy to use.
Key concepts: Hausdorff measure, Measure (data warehouse), Mathematics, Cantor set, Unit interval, Cantor function, Interval (graph theory), Hausdorff space