Last Updated
：2025/11/23
partition of unity
Noun
Japanese Meaning
位相空間上に定義された、非負の値を持つ関数の集合。各点で非零となる関数が有限個存在し、それらの和が常に1になるという性質を持つ。
（ plural ）
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(mathematics) A collection of non-negative-valued functions defined on a topological space, such that every point has only finitely many nonzero values, and these sum to one.
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partition of unity
To construct global sections from local data, one often uses a partition of unity subordinate to an open cover.
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To construct global sections from local data, one often uses a partition of unity subordinate to an open cover.
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