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What (who) is S-finite measure - definition
S-finite measure
MATHEMATICAL FUNCTION IN MEASURE THEORY
S-finite; S-finiteness
In measure theory, a branch of mathematics that studies generalized notions of volumes, an s-finite measure is a special type of measure. An s-finite measure is more general than a finite measure, but allows one to generalize certain proofs for finite measures.
Finite measure
In measure theory, a branch of mathematics, a finite measure or totally finite measure is a special measure that always takes on finite values. Among finite measures are probability measures.
Σ-finite measure
MATHEMATICAL MEASURE
Sigma-finite; Sigma finite measure; Σ-finite; Sigma-finite measure; Moderate measure; Sigma-finite measure space; Σ-finiteness; Sigma-finiteness
In mathematics, a positive (or signed) measure μ defined on a σ-algebra Σ of subsets of a set X is called a finite measure if μ(X) is a finite real number (rather than ∞), and a set A in Σ is of finite measure if μ(A) < ∞. The measure μ is called σ-finite if X is a countable union of measurable sets with finite measure.
