In mathematics, especially in measure theory, a set function is a function whose domain is a family of subsets of a given set, and which usually takes its values in the extended real number line, consisting of the real numbers together with positive and negative infinity. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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1. Set Function (Wikipedia)
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In mathematics, especially measure theory, a set function is a function whose domain is a family of subsets of some given set and that (usually) takes its values in the extended real number line R ∪ { ± ∞ }, {\displaystyle \mathbb {R} \cup \{\pm \infty \},} which consists of the real numbers R {\displaystyle \mathbb {R} } and ± ∞. {\displaystyle \pm \infty.} A set function generally aims to measure subsets in some way.
In Branch: Measure Theory, Lead sentence
In mathematics, especially measure theory, a set function is a function whose domain is a family of subsets of some given set and
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