Q. Let X = {m, n}, and = {¢, X, {m}, {n}} %3D . Define the function µm : Σ [0, 00) by Hm (A) = { 2 if m e A |1 if m¢ A then а. Hm is not a measure. b. Hm is a measure and Hm({m, p}\{n,p}) = 1. Hm is a measure and Hm({m, p}\{n,p}) = 2 с. %3D d. None of these.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q. Let X = {m, n}, and
= {ø, X, {m}, {n}}.
%3D
Define the function µm :
Σ
[0, 0) by
Hm (A) = {
2 if mEА
1 if m¢ A
then
Hm is not a measure.
b.
а.
Hm is a measure and Hm({m, p}\{n,p}) = 1.
Hm is a measure and Hm({m, p}\{n,p}) = 2
d. None of these.
с.
Transcribed Image Text:Q. Let X = {m, n}, and = {ø, X, {m}, {n}}. %3D Define the function µm : Σ [0, 0) by Hm (A) = { 2 if mEА 1 if m¢ A then Hm is not a measure. b. а. Hm is a measure and Hm({m, p}\{n,p}) = 1. Hm is a measure and Hm({m, p}\{n,p}) = 2 d. None of these. с.
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