subinterval

American  

[suhb-in-ter-vuhl] / sʌbˈɪn tər vəl /

noun

Mathematics.

1. an interval that is a subset of a given interval.

---

Etymology

Origin of subinterval

First recorded in 1925–30; sub- + interval

Example Sentences

We assume that the length of each subinterval is given by Δx.

From Textbooks • Mar. 30, 2016

It is almost the same as the left-endpoint approximation, but now the heights of the rectangles are determined by the function values at the right of each subinterval.

From Textbooks • Mar. 30, 2016

Figure 1.4 In the right-endpoint approximation of area under a curve, the height of each rectangle is determined by the function value at the right of each subinterval.

From Textbooks • Mar. 30, 2016

Instead, we must take the limit as the width of the largest subinterval goes to zero.

From Textbooks • Mar. 30, 2016

We then form six rectangles by drawing vertical lines perpendicular to xi − 1, the left endpoint of each subinterval.

From Textbooks • Mar. 30, 2016