Word Pronunciation & Dictionary

μ-completion

Word Rarity Rare

Frequency: Zipf frequency 2.87 in modern English

Syllables: μ--com-ple-tion
IPA

16

Scrabble Score

11

Letters

5

Syllables

10

Unique Chars

Meaning

noun

A σ-algebra which is obtained as a "completion" of a given σ-algebra, which includes all subsets of the given measure space which simultaneously contain a member of the given σ-algebra and are contained by a member of the given σ-algebra, as long as the contained and containing measurable sets have the same measure, in which case the subset in question is assigned a measure equal to the common measure of its contained and containing measurable sets (so the measure is also being completed, in parallel with the σ-algebra).

Example Sentences

"Every σ-algebra has a μ'''-completion: if a σ-algebra is complete, then it is equal to its μ-completion, otherwise it is contained by its μ-completion."

Inflected Forms

μ-completions (plural)

Phrases

complete measure

Frequently Paired Words

complete measure

Questions

What does μ-completion mean?: A σ-algebra which is obtained as a "completion" of a given σ-algebra, which includes all subsets of the given measure space which simultaneously contain a member of the given σ-algebra and are contained by a member of the given σ-algebra, as long as the contained and containing measurable sets have the same measure, in which case the subset in question is assigned a measure equal to the common measure of its contained and containing measurable sets (so the measure is also being completed, in parallel with the σ-algebra).

How to pronounce μ-completion

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