Q. Let X = {m, n}, and = {ø, X, {m}, {n}}.Define the function Hn:%3D- [0, 00) byS3 if ne A10 if ne AHn (A)thena. H is a measure and H({m, n}\{n}) = 0b. H, is not a measure.c. Hn is a measure and H({n}\{m}) = 3d. None of these.

Answered: Image /qna-images/answer/ef098c66-25d9-48d5-bedc-e5f7122a6d78.jpg

E= {0, X, {m}, {n}}. Q. Let X = {m,n}, and Define the function : -(0, o0) by %3D Hn (A) = { 3 if ne A 10 if n A then a. H, is a measure and 4({m, n}\{n}) = 0 b. Hn is not a measure. c. Hn is a measure and H„({n}\{m}) = 3 d. None of these. %3D

E= {0, X, {m}, {n}}. Q. Let X = {m,n}, and Define the function : -(0, o0) by %3D Hn (A) = { 3 if ne A 10 if n A then a. H, is a measure and 4({m, n}\{n}) = 0 b. Hn is not a measure. c. Hn is a measure and H„({n}\{m}) = 3 d. None of these. %3D

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

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Q. Let X = {m, n}, and = {ø, X, {m}, {n}}.
Define the function Hn:
%3D
- [0, 00) by
S3 if ne A
10 if ne A
Hn (A)
then
a. H is a measure and H({m, n}\{n}) = 0
b. H, is not a measure.
c. Hn is a measure and H({n}\{m}) = 3
d. None of these.

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