Let 
be a sigma-algebra 
, and let 
and 
be measures on 
. If there exists a pair of disjoint
sets 
and 
such that 
is concentrated on
and 
is concentrated on
,
then 
and 
are said to be mutually singular, written 
.
Mutually Singular
See also
Absolutely Continuous, Concentrated, Sigma-AlgebraExplore with Wolfram|Alpha
References
Rudin, W. Functional Analysis, 2nd ed. New York: McGraw-Hill, p. 121, 1991.Referenced on Wolfram|Alpha
Mutually SingularCite this as:
Weisstein, Eric W. "Mutually Singular." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MutuallySingular.html