Definition:Lattice Point

Definition
Let $\mathcal C$ be a cartesian coordinate system of $n$ dimensions.

Let $P = \tuple {a_1, a_2, \ldots, a_n}$ be a point in $\mathcal C$.

Then $P$ is a lattice point of $\mathcal C$ $a_1, a_2, \ldots, a_n$ are all integers.