Lattice (group)

In mathematics, especially in geometry and group theory, a lattice in $\mathbb{R}^n$ is a subgroup of $\mathbb{R}^n$ which is isomorphic to $\mathbb{Z}^n$ , and which spans the real vector space $\mathbb{R}^n$ . In other words, for any basis of $\mathbb{R}^n$ , the subgroup of all linear combinations with integer coefficients forms a lattice. A lattice may be viewed as a regular tiling of a space by a primitive cell.

单词	Lattice points
释义	Lattice points 英语百科 Lattice (group) In mathematics, especially in geometry and group theory, a lattice in $\mathbb{R}^n$ is a subgroup of $\mathbb{R}^n$ which is isomorphic to $\mathbb{Z}^n$ , and which spans the real vector space $\mathbb{R}^n$ . In other words, for any basis of $\mathbb{R}^n$ , the subgroup of all linear combinations with integer coefficients forms a lattice. A lattice may be viewed as a regular tiling of a space by a primitive cell.
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Lattice points

Lattice (group)