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Finite Additivity

Finite additivity is the property of a set function mu that, for any finite collection of pairwise disjoint sets {E_k}_(k=1)^n on which mu is defined and whose union is in its domain,

mu( union _(k=1)^nE_k)=sum_(k=1)^nmu(E_k).

See also

Countable Additivity, Countable Subadditivity, Disjoint Union, Finite Subadditivity, Set Function

Portions of this entry contributed by Christopher Stover

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References

Royden, H. L. and Fitzpatrick, P. M. Real Analysis, 4th ed. Boston, MA: Pearson-Prentice Hall, 2010.

Referenced on Wolfram|Alpha

Finite Additivity

Cite this as:

Weisstein, Eric W., with contributions by Christopher Stover. "Finite Additivity." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/FiniteAdditivity.html

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