Last Updated :2025/12/08

Besicovitch set

Noun
Japanese Meaning
ユークリッド空間内の、すべての方向に対して単位長の線分を含む点の集合(カケヤ集合の同義語として知られる数学的対象)
What is this buttons?

平面の測度論を学ぶ中で、大学院生はカケヤ集合がルベーグ測度ゼロでありながら、あらゆる方向に単位線分を含むことがあるとわかった。

plural

Quizzes for review

(mathematics) Synonym of Kakeya set (“set of points in Euclidean space that contains a unit line segment in every direction”)

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Besicovitch set

When studying planar measure theory, the graduate student found that a Besicovitch set can have Lebesgue measure zero while still containing a unit line segment in every direction.

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When studying planar measure theory, the graduate student found that a Besicovitch set can have Lebesgue measure zero while still containing a unit line segment in every direction.

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