Subinterval意思

"Subinterval" is a term used in mathematics, particularly in the context of calculus and analysis, to refer to a part or portion of an interval. An interval in mathematics is a set of real numbers that includes all numbers between two endpoints, which can be either finite or infinite. For example, the interval from 2 to 5, inclusive, would be written as [2, 5].

A subinterval is a subset of an interval that is still an interval itself. For instance, if we consider the interval [2, 5], a subinterval could be the interval [2.5, 4], which is a portion of the original interval. Subintervals can be of any length and can include one or both of the endpoints of the original interval.

In the context of calculus, subintervals are often used when discussing the properties of functions over an interval. For example, when talking about the continuity or differentiability of a function on an interval, one might consider the properties of the function on smaller subintervals to understand the behavior of the function better.