1ΑΔΒ = |1, - 1g|

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Prove the indicator function
The collection of sets {A} for which A₁ = [i,i+1) form a partition of [0,00)
An indicator function of the set A is the function on given by
if w€ A
if w€ A
Operations on indicator functions are equivalent to set
1₁(w) =
(1
so that 14 indicates whether A occurs.
operations on events
1AUB= max(1A, 1B}
1AOB = min{14, 18} = 1A1B
1AC=1-1A
1AAB = 11A 1B|
-
Transcribed Image Text:The collection of sets {A} for which A₁ = [i,i+1) form a partition of [0,00) An indicator function of the set A is the function on given by if w€ A if w€ A Operations on indicator functions are equivalent to set 1₁(w) = (1 so that 14 indicates whether A occurs. operations on events 1AUB= max(1A, 1B} 1AOB = min{14, 18} = 1A1B 1AC=1-1A 1AAB = 11A 1B| -
1ΑΔΒ = |1, - 1g|
Transcribed Image Text:1ΑΔΒ = |1, - 1g|
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