for all semi-intervals in
I aim to calculate in terms of the function
My current idea is to express the closed, open, and semi-interval in terms of the left semi-interval as such:
where and . For example, such a sequence could be
We could get similar expressions using and then substituting as needed.
However, all of these expressions would be extremely messy and would give very complicated answers. Is there a cleaner way of expressing the measure of each interval?