Q. Let X = {m, n}, and = {ø, X, {m}, {n}}. → [0, 00) by Define the function u : 3 if n € A 0 if n¢ A a. Hn is a measure and µ„ ({m,n}\{n}) = 0 Hn (A) = then b. u, is not a measure. C. Hn is a measure and u, ({n}\{m}) = 3 d. None of these. a

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Q. Let X = {m, n}, and = {¢, X, {m}, {n}}.
Define the function :>→ [0, 0) by
S 3 if ne A
Hn(A) =3 0 if n¢ A
then
a. Hn is a measure and µ„({m,n}\{n}) = 0
b. µ„ is not a measure.
C. Mn is a measure and µ,({n}\{m}) = 3
d. None of these.
al
P.
Transcribed Image Text:Q. Let X = {m, n}, and = {¢, X, {m}, {n}}. Define the function :>→ [0, 0) by S 3 if ne A Hn(A) =3 0 if n¢ A then a. Hn is a measure and µ„({m,n}\{n}) = 0 b. µ„ is not a measure. C. Mn is a measure and µ,({n}\{m}) = 3 d. None of these. al P.
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