Last Updated:2025/12/05
Sentence

解析セミナーで、局所的に総変動が有界でありある点で一様に有界な関数列は収束部分列を持つという定理を証明し、その定理を用いてそのような関数族から収束部分列を取り出しました。

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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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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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Related words

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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解析セミナーで、局所的に総変動が有界でありある点で一様に有界な関数列は収束部分列を持つという定理を証明し、その定理を用いてそのような関数族から収束部分列を取り出しました。

English - English

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