Definition:Lattice Point

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

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

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

Also known as
A lattice point can also be referred to as an integral point.