1. Let ER be a measurable set with |E| > 0. Prove that there exists a ER,0, such that |(E + a)^ E| > 0.a(In fact, this claim holds in Rd for every d E N, so you are welcome to proveit in this more general form).

Consider the indicator function 1E on R2. This is a nonnegative measurable function,so by…

Answered: Let ECR be a measurable set with |E| >…

Let ECR be a measurable set with |E| > 0. Prove that there exists a € R, a ‡ 0, such that |(E + a)^ E| > 0. (In fact, this claim holds in Rª for every d E N, so you are welcome to prove

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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Question

1. Let ER be a measurable set with |E| > 0. Prove that there exists a ER,
0, such that |(E + a)^ E| > 0.
a
(In fact, this claim holds in Rd for every d E N, so you are welcome to prove
it in this more general form).

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