2 Use the Proposition: Let A le any set and {Ex} Az a finite disjoint collection measurable sets. Then n m* ( An [Û Ex]) = 2 m+ (ANE) k=1 k=1 In particular n * ( Û Ek ) » Σ m* (Ek). k=1 k=1 Prove the following: let 1 Let {E} le a collection of disjoint, measurable sets and bit ACIR. Prove that Σm* m* (An [~ Ex]] = [i m* (ANEK). Ek K-1 K=1
2 Use the Proposition: Let A le any set and {Ex} Az a finite disjoint collection measurable sets. Then n m* ( An [Û Ex]) = 2 m+ (ANE) k=1 k=1 In particular n * ( Û Ek ) » Σ m* (Ek). k=1 k=1 Prove the following: let 1 Let {E} le a collection of disjoint, measurable sets and bit ACIR. Prove that Σm* m* (An [~ Ex]] = [i m* (ANEK). Ek K-1 K=1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
2
![2 Use the Proposition:
Let A le any set and {E} a finite disjoint collection
of measurable sets. Then
n
*
• (An [Û Ex]) = { m* (ANER)
m
k=1
k=1
In particular
n
( Û FK ) - 2
U Ek
k=1
k=1
*
Prove the following:
♡
[m*1
(Ek).
Let {E} le a collection of disjoint, measurable sets and bet
ACIR. Prove that.
m* (An [ u Ex ] ] = { m² (A NEK).
U Ek
K=1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7dbb4ae4-0d65-4baa-9481-63f79be91eca%2Fcccab0d1-a143-4470-b76a-c7d187cdf921%2Fp26lvlx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2 Use the Proposition:
Let A le any set and {E} a finite disjoint collection
of measurable sets. Then
n
*
• (An [Û Ex]) = { m* (ANER)
m
k=1
k=1
In particular
n
( Û FK ) - 2
U Ek
k=1
k=1
*
Prove the following:
♡
[m*1
(Ek).
Let {E} le a collection of disjoint, measurable sets and bet
ACIR. Prove that.
m* (An [ u Ex ] ] = { m² (A NEK).
U Ek
K=1
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