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(a) Prove that if , and 2 are segma algebras over X, then nL, is a sigma algebra over X. (b) Is ), u> a sigma algebra over X? Prove your answer.

(a) Prove that if , and 2 are segma algebras over X, then nL, is a sigma algebra over X. (b) Is ), u> a sigma algebra over X? Prove your answer.

Advanced Engineering Mathematics
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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segma algebra
Q2. (a) Prove that if E, and , are segma algebras over X, then >,n), is a sigma algebra over X. (b) Is >, U>, a sigma algebra over X? Prove your answer.
Transcribed Image Text:Q2. (a) Prove that if E, and , are segma algebras over X, then >,n), is a sigma algebra over X. (b) Is >, U>, a sigma algebra over X? Prove your answer.
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