Finite Additivity

Finite Additivity

TOPICS

A set function is finitely additive if, given any finite disjoint collection of sets ${E_k}_(k=1)^n$ on which is defined,

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

See also

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

This entry contributed by Christopher Stover

Explore with Wolfram|Alpha

More things to try:

References

Royden, H. L. and Fitzpatrick, P. M. Real Analysis. Pearson, 2010.

Referenced on Wolfram|Alpha

Finite Additivity

Cite this as:

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

Subject classifications