Last Updated :2025/12/02

partitions of unity

Noun
form-of plural
Japanese Meaning
数学(特に微分幾何学や位相空間論)において、局所的な開被覆に対して定義される非負関数の族で、各点でその和が常に1になる性質を持つものを指します。 / 提示されたのは複数形であるため、複数の『partition of unity』、すなわち上記に該当する複数の関数系が存在することを意味します。
What is this buttons?

微分幾何学では、局所的に和が1になる滑らかな関数の族(単位分割)を用いて、局所的な関数を継ぎ合わせて束の大域的な切断を構成できます。

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plural of partition of unity

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partitions of unity

In differential geometry, partitions of unity allow us to patch together local functions to build global sections of a bundle.

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In differential geometry, partitions of unity allow us to patch together local functions to build global sections of a bundle.

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