Definition:Lattice Point

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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 $\mathcal C$ if and only if $a_1, a_2, \ldots, a_n$ are all integers.

Also known as

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