Last Updated：2025/12/04

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(mathematics) A set whose boundary is measurable and has (at least locally) finite measure.

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Caccioppoli set

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Source Word

Caccioppoli set

Noun

(mathematics) A set whose boundary is measurable and has (at least locally) finite measure.

Japanese Meaning

数学において、境界が可測であり、（少なくとも局所的に）有限な測度を持つ集合

What is this buttons?

In geometric measure theory, a Caccioppoli set is a measurable subset of Euclidean space whose boundary has locally finite measure, making it central to studies of minimal surfaces and variational problems.

Google Translation / DeepL Translation

幾何測度論において、有限周集合はユークリッド空間の可測部分集合で、その境界は局所的に有限の測度を持ち、最小曲面や変分問題の研究において重要である。

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Sense（1）

(mathematics) A set whose boundary is measurable and has (at least locally) finite measure.

Caccioppoli sets

（ plural ）

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Caccioppoli set

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Caccioppoli set

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