Register to reply

Measure Theory-Lebesguq Measure

by WannaBe22
Tags: measure, theorylebesguq
Share this thread:
WannaBe22
#1
Dec9-10, 05:06 AM
P: 76
1. The problem statement, all variables and given/known data
Prove the set [tex] A= \bigcup_{n=1}^{\infty} ( \frac{n}{5} , \frac{n}{5} + \frac{n+1}{2^n} ) [/tex] is Lebesgue measurable and calculate its measure.


2. Relevant equations
3. The attempt at a solution
I've proved the set is measurable...But how can I calculate its measure?


I will be delighted to get some guidance

Thanks in advance !
Phys.Org News Partner Science news on Phys.org
Security CTO to detail Android Fake ID flaw at Black Hat
Huge waves measured for first time in Arctic Ocean
Mysterious molecules in space
HallsofIvy
#2
Dec9-10, 07:27 AM
Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,345
It looks to me like
[tex]A= (\frac{1}{5}, \infty)[/tex]


Register to reply

Related Discussions
Measure theory Calculus & Beyond Homework 2
Measure theory Set Theory, Logic, Probability, Statistics 1
Measure Theory - The completion of R^2 under a point mass measure Calculus & Beyond Homework 1
Measure theory Calculus & Beyond Homework 2
Measure Theory Academic Guidance 5