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31 Show that if E has finite measure and E70, then E is the disjoint union of a finite number of measurable sets, each of which has measure at most 6.

31 Show that if E has finite measure and E70, then E is the disjoint union of a finite number of measurable sets, each of which has measure at most 6.

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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3 Show that if I has finite measure and E70, then E is the disjoint union of a finite number of measurable sets, each of which has at most 6. measure Hint For N lange for nez. What does m(E) <∞ say and fixed, consider the sets En= En[n/N, (+1)/1) about the sum Σ m(En) for lange KEN? Inl moitollas triazerb still AR
Transcribed Image Text:3 Show that if I has finite measure and E70, then E is the disjoint union of a finite number of measurable sets, each of which has at most 6. measure Hint For N lange for nez. What does m(E) <∞ say and fixed, consider the sets En= En[n/N, (+1)/1) about the sum Σ m(En) for lange KEN? Inl moitollas triazerb still AR
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