Last Updated
：2025/12/05
Helly's selection theorem
Proper noun
Japanese Meaning
ヘリーの選択定理：局所的に全変動が有界で、かつある一点で一様に有界な関数列は、収束する部分列を持つという数学上の定理
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(mathematics) A theorem stating that a sequence of functions that is locally of bounded total variation and uniformly bounded at a point has a convergent subsequence.
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Helly's selection theorem
In our analysis seminar, we proved Helly's selection theorem and then used it to extract a convergent subsequence from a family of functions that are locally of bounded total variation and uniformly bounded at a point.
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In our analysis seminar, we proved Helly's selection theorem and then used it to extract a convergent subsequence from a family of functions that are locally of bounded total variation and uniformly bounded at a point.
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