暇つぶし2chat MATH
- 暇つぶし2ch481:現代数学の系譜 雑談 古典ガロア理論も読む
18/03/04 21:28:46.40 K2uul6/8.net
>>440 つづき
URLリンク(en.wikipedia.org)
Fat Cantor set Smith?Volterra?Cantor set
(抜粋)
In mathematics, the Smith?Volterra?Cantor set (SVC), fat Cantor set, or ε-Cantor set[1] is an example of a set of points on the real line ? that is nowhere dense (in particular it contains no intervals), yet has positive measure.
(引用終り)
URLリンク(www.se16.info)
Some nowhere dense sets with positive measure and a strictly monotonic continuous function with a dense set of points with zero derivative Henry Bottomley. May 2005.
(抜粋)
If there were no overlaps, the total measure of the intervals removed would be 1/2, but as there are overlaps, the measure removed is less, leaving a set of positive measure of more than 1/2 which turns out to be 0.5355736804357782247533428...,
(引用終り)
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