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Keyword:

Caccioppoli

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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Related Words

Caccioppoli sets

（ plural ）

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Caccioppoli sets

Noun

form-of plural

plural of Caccioppoli set

Japanese Meaning

『Caccioppoli set』の複数形、つまり単数形『Caccioppoli set』の複数表現を指す。

What is this buttons?

Many problems in geometric measure theory can be simplified by approximating Caccioppoli sets with smoother domains.

Google Translation / DeepL Translation

幾何測度論の多くの問題は、有限周長集合をより滑らかな領域で近似することで簡略化できます。

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