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Definition 2024


positive_measure

positive measure

English

Noun

positive measure (plural positive measures)

  1. (analysis) A function whose domain is a σ-algebra, whose codomain is [0,∞], and which is countably additive.

Usage notes

The adjective "positive" is used when contrasting this kind of measure with signed measures (or complex measures). Otherwise it is often just called a "measure."

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