Definition:Lattice Point
(Redirected from Definition:Integral 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.
Also see
- Results about lattice points can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): lattice: 2. (in geometry; C.F. Gauss, 1831)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): lattice: 2. (in geometry; C.F. Gauss, 1831)