Measure (English)
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Definition (undergraduate level)
A measure is a property of certain sets. For a collection of subsets Ai, a measure m is a function m : { Ai } → R+ ∪{ + ∞} , with the following properties:
m ( ∅) = 0 ;
If all of { Ain } are disjoint, then m ( ∪n Ain ) = ∑n m ( Ain ) .
Both measurable and non-measurable sets exist.
m ( ∅) = 0 ;
If all of { Ain } are disjoint, then m ( ∪n Ain ) = ∑n m ( Ain ) .
Both measurable and non-measurable sets exist.
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