Definition:Subdivision (Real Analysis)

Definition
Let $\left[{a \,.\,.\, b}\right]$ be a closed interval of the set $\R$ of real numbers.

Let $x_0, x_1, x_2, \ldots, x_{n-1}, x_n$ be points of $\R$ such that:


 * $a = x_0 < x_1 < x_2 < \cdots < x_{n-1} < x_n = b$

Then $\left\{{x_0, x_1, x_2, \ldots, x_{n-1}, x_n}\right\}$ form a subdivision of $\left[{a \,.\,.\, b}\right]$.