If Icirc acute is defined on 0, 2 by Icirc acute (t) 1 2 t 1 for x 1 and Icirc acute (1) 0 01, show that every Icirc acute fine partition of 0, 2 has t 1 as a tag for at least one subinterval, and that the total length of the subintervals in having 1 as a tag is P...

If x k1 1 x k and if t k is the tag for x k1 x k then we cannot have t ...

If Î´ is defined on [0, 2] by Î´(t) := 1/2 |t - 1| for x 1

Question:

If Î´ is defined on [0, 2] by Î´(t) := 1/2 |t - 1| for x ‰ 1 and Î´(1) := 0.01, show that every Î´-fine partition of [0, 2] has t = 1 as a tag for at least one subinterval, and that the total length of the subintervals in having 1 as a tag is