Last Updated：2025/11/20

(mathematics, set theory, measure theory) A set that is small enough that it can be ignored for some purpose.

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negligible set

Source Word

negligible set

Noun

(mathematics, set theory, measure theory) A set that is small enough that it can be ignored for some purpose.

Japanese Meaning

ある目的に対して、無視できるほど小さい（測度論などで扱われる）集合。

For our integration, we can ignore the negligible set where the function is undefined without affecting the result.

積分に関しては、関数が未定義である測度ゼロ集合を無視しても結果に影響はありません。

Sense（1）

(mathematics, set theory, measure theory) A set that is small enough that it can be ignored for some purpose.

negligible sets

（ plural ）