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countably additive

   Also found in: Wikipedia 0.01 sec.
countably additive [′kau̇nt·ə·blē ′ad·əd·iv]
(mathematics)
Given a measurem,and a sequence of pairwise disjoint measurable sets, the property that the measure of the union is equal to the sum of the measures of the sets.


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We will show that the solutions are generalized functions (rather than ordinary function), which reflect the above fact that the corresponding "measure" are finitely additive signed measure (rather than countably additive measure) of unbounded variation.
 
 
 
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