Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun 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 containingmeasurable sets have the samemeasure , 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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