Q. Let X = {m, n}, and E= {0, X, {m}, {n}. Define the function Hn:> → [0, ∞0) by 3 if n e A 0 if n¢ A ' a. Hn is a measure and µ„({m,n}\{n}) = 0 Hn (A) = { then b. Hn is not a measure. c. Hn is a...


Q. Let X = {m, n}, and E= {0, X, {m}, {n}.<br>Define the function Hn:><br>→ [0, ∞0) by<br>3 if n e A<br>0 if n¢ A '<br>a. Hn is a measure and µ„({m,n}\{n}) = 0<br>Hn (A) = {<br>then<br>b. Hn is not a measure.<br>c. Hn is a measure and u,({n}\{m}) = 3<br>d. None of these.<br>

Extracted text: Q. Let X = {m, n}, and E= {0, X, {m}, {n}. Define the function Hn:> → [0, ∞0) by 3 if n e A 0 if n¢ A ' a. Hn is a measure and µ„({m,n}\{n}) = 0 Hn (A) = { then b. Hn is not a measure. c. Hn is a measure and u,({n}\{m}) = 3 d. None of these.

Jun 04, 2022
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