mathematics, the n-dimensional integer lattice (or cubic lattice), denoted ⁠ Z n {\displaystyle \mathbb {Z} ^{n}} ⁠, is the lattice in the Euclidean space ⁠...

the Gaussian integers constitute the 2-dimensional integer lattice. The conjugate of a Gaussian integer a + bi is the Gaussian integer a – bi. The norm...

based on the integer lattice, hexagonal tiling and E8 lattice, respectively. It has no root system and in fact is the first unimodular lattice with no roots...

)n} with an integer n {\displaystyle n} ) at every direct lattice vertex. One heuristic approach to constructing the reciprocal lattice in three dimensions...

The Eisenstein integers form a triangular lattice in the complex plane, in contrast with the Gaussian integers, which form a square lattice in the complex...

combinations with integer coefficients of the basis vectors forms a lattice, and every lattice can be formed from a basis in this way. A lattice may be viewed...

{\sqrt {3}}} ⁠ apart in the integer lattice; the edges of the diamond structure lie along the body diagonals of the integer grid cubes. This structure...

factorization of a positive integer Complex integer Hyperinteger Integer complexity Integer lattice Integer part Integer sequence Integer-valued function Mathematical...

the square lattice is a type of lattice in a two-dimensional Euclidean space. It is the two-dimensional version of the integer lattice, denoted as ⁠...

mathematics, the goal of lattice basis reduction is to find a basis with short, nearly orthogonal vectors when given an integer lattice basis as input. This...