An indicator function of the set A is the function on N given by j1 if w e A 1,(w) = {o_if w € A so that 1, indicates whether A occurs. Operations on indicator functions are equivalent to set operations on events 1AUB = max{14, 1g} 1A0B = min{1¼, 1B} = 1,1g %3D

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 using the information in other picture

1ang = min{1, 1g} = 1,1,
%3D
Transcribed Image Text:1ang = min{1, 1g} = 1,1, %3D
An indicator function of the set A is the function on N given by
j1 if w e A
1,(w) = {o_if w € A
so that 1, indicates whether A occurs. Operations on indicator functions are equivalent to set
operations on events
1AUB = max{14, 1g}
1ang = min{1¼, 1g} = 1,1g
1,c = 1– 14
1aa = |14 – 1g|
Transcribed Image Text:An indicator function of the set A is the function on N given by j1 if w e A 1,(w) = {o_if w € A so that 1, indicates whether A occurs. Operations on indicator functions are equivalent to set operations on events 1AUB = max{14, 1g} 1ang = min{1¼, 1g} = 1,1g 1,c = 1– 14 1aa = |14 – 1g|
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