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μ-Completion

Definition of the noun μ-Completion

What does μ-Completion mean as a name of something?

noun

  1. [analysis] 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).

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Quotes about μ-Completion

We begin to see that the completion of an important project has every right to be dignified by a natural grieving process. Something that required the best of you has ended. You will miss it. (Anne Wilson Schaef)
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