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To: FredZarguna
Consider the intervals: A = (-∞, 12] and B = (-∞, 32] both intervals are ∈ ℬ and thus Lebesgue measurable.

The characteristic function χA vanishes identically on (12, +∞) while the characteristic function χB has support only (-∞, 32]. Both functions are measurable, so their difference χB - χA is measurable.

Thus: ∫ χB - χA = ∫ χB - ∫ χA = 20.

Hope this helps more clearly illustrate the concepts of basic subtraction for small children.

63 posted on 06/25/2016 10:38:53 AM PDT by FredZarguna (And what Rough Beast, its hour come round at last, slouches toward Fifth Avenue to be born?)
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To: FredZarguna

Good Lord ...


76 posted on 06/25/2016 2:32:32 PM PDT by glock rocks (Political Correctness is fascism disguised as manners. -- George Carlin)
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