Last Updated :2025/11/29

essential infimum

Noun
Japanese Meaning
数学解析において、関数がほぼすべての点で持つ下界、すなわち関数の値がある値より下になる部分が測度ゼロであるような、可能な最大の下限(本質的下限、本質的下界)
What is this buttons?

可測関数の本質的下限を求める際には、測度ゼロの集合上の値を無視し、ほとんど至るところで成り立つ最大の下界を特定します。

plural

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(mathematical analysis) The infimum (greatest lower bound) of a function which holds almost everywhere. In symbols, ess inf f= sup m:𝜇(x:f(x)

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essential infimum

When determining the essential infimum of a measurable function, we ignore values on sets of measure zero and identify the greatest lower bound that holds almost everywhere.

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When determining the essential infimum of a measurable function, we ignore values on sets of measure zero and identify the greatest lower bound that holds almost everywhere.

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