In
mathematics, two positive (or
signed or
complex) measures
μ and
ν defined on a
measurable space (Ω, Σ) are called
singular if there exist two disjoint sets
A and
B in Σ whose
union is Ω such that
μ is zero on all measurable subsets of
B while
ν is zero on all measurable subsets of
A. This is denoted by
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