Definition:Lattice Point

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


Rational Lattice Point

$P$ is a rational lattice point of $\CC$ if and only if $a_1, a_2, \ldots, a_n$ are all rational numbers.


Also known as

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