Partition of an interval
Increasing sequence of numbers that span an interval / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about Partition of an interval?
Summarize this article for a 10 year old
SHOW ALL QUESTIONS
This article is about grouping elements of an interval using a sequence. For grouping elements of a set using a set of sets, see Partition of a set.
In mathematics, a partition of an interval [a, b] on the real line is a finite sequence x0, x1, x2, …, xn of real numbers such that
- a = x0 < x1 < x2 < … < xn = b.
In other terms, a partition of a compact interval I is a strictly increasing sequence of numbers (belonging to the interval I itself) starting from the initial point of I and arriving at the final point of I.
Every interval of the form [xi, xi + 1] is referred to as a subinterval of the partition x.