- #1
asif zaidi
- 56
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Hello
We are doing Jordan content/measure and I think I understand it but I seem to be having problem the following h/w assignment.
Problem Statement:
Let I be a generalized interval and let f be the constant function 1. Find a subset D of I such that f (restricted to region D) is not integrable
Problem Solution
A function is integrable iff the boundary has Jordan content 0. I can prove that the boundary of a constant function has measure 0.
So I cannot see where this function is non-integrable.
What am I missing?
Thanks
Asif
We are doing Jordan content/measure and I think I understand it but I seem to be having problem the following h/w assignment.
Problem Statement:
Let I be a generalized interval and let f be the constant function 1. Find a subset D of I such that f (restricted to region D) is not integrable
Problem Solution
A function is integrable iff the boundary has Jordan content 0. I can prove that the boundary of a constant function has measure 0.
So I cannot see where this function is non-integrable.
What am I missing?
Thanks
Asif