Find the norm of the partition P.
-P = {1, 2.1, 2.5, 3.1, 4.7, 5}
A) 0.4
B) 1.1
C) 0.6
D) 1.6

Question

Quizplus · Accepted Answer

The norm of a partition, often denoted as ||P||, is the length of the largest subinterval formed by consecutive points in the partition. For partition P = {1, 2.1, 2.5, 3.1, 4.7, 5}, the subintervals are [1, 2.1], [2.1, 2.5], [2.5, 3.1], [3.1, 4.7], and [4.7, 5]. The lengths of these subintervals are 1.1, 0.4, 0.6, 1.6, and 0.3, respectively. The largest length among these is 1.6, making it the norm of the partition.

Find the Norm of the Partition P