Definition:Absolute Real Vector Ordering

Definition
Let $x$ and $y$ be elements of the real vector space $\R^n$.

The absolute real vector ordering is the partial ordering $\ge$ defined on the real vector space $\R^n$ as:
 * $\forall x, y \in \R^n: x \ge y \iff \forall i \in \left\{ {1, 2, \ldots, n}\right\}: x_i \ge y_i$

Linguistic Note
The name absolute real vector ordering has been coined by to name this partial ordering which is defined without a name in.