A generalization of the classical problem of optimal lattice covering of ℝ is considered. Solutions to this generalized problem are found in two specific classes of lattices. The global optimal solution of the generalization is found for ℝ
Let Λ be a lattice of full rank in the N-dimensional Euclidean space RN for N ≥ 2. The minimum of Λ ...
Let Λ be a lattice of full rank in the N-dimensional Euclidean space RN for N ≥ 2. The minimum of Λ ...
AbstractLet k be a positive square free integer, N(−k)12 the ring of algebraic integers in Q(−k)12 a...
AbstractA generalization of the classical problem of optimal lattice covering of Rn in considered. S...
A generalization of the classical problem of optimal lattice covering of R-n is considered. Solution...
AbstractA generalization of the classical problem of optimal lattice covering of Rn in considered. S...
AbstractWe study optimal coverings of lattices associated with a given n -cube by frames ( = Hamming...
1. Let J<SUB>n</SUB> be a sphere with volume V(J<SUB>n</SUB>) in the n-dimensional Euclidean space R...
We show that the Leech lattice gives a sphere covering which is locally least dense among lattice co...
textabstractWe show that the Leech lattice gives a sphere covering which is locally least dense amon...
The classical sphere packing problem asks for the best (infinite) arrangement of non-overlapping uni...
. We consider finite lattice coverings of strictly convex bodies K. For planar centrally symmetric ...
The classical sphere packing problem asks for the best (infinite) arrangement of non-overlapping uni...
The classical sphere packing problem asks for the best (infinite) arrangement of non-overlapping uni...
122 leaves : ill.Thesis (Ph.D.)--University of Adelaide, Dept. of Mathematics, 196
Let Λ be a lattice of full rank in the N-dimensional Euclidean space RN for N ≥ 2. The minimum of Λ ...
Let Λ be a lattice of full rank in the N-dimensional Euclidean space RN for N ≥ 2. The minimum of Λ ...
AbstractLet k be a positive square free integer, N(−k)12 the ring of algebraic integers in Q(−k)12 a...
AbstractA generalization of the classical problem of optimal lattice covering of Rn in considered. S...
A generalization of the classical problem of optimal lattice covering of R-n is considered. Solution...
AbstractA generalization of the classical problem of optimal lattice covering of Rn in considered. S...
AbstractWe study optimal coverings of lattices associated with a given n -cube by frames ( = Hamming...
1. Let J<SUB>n</SUB> be a sphere with volume V(J<SUB>n</SUB>) in the n-dimensional Euclidean space R...
We show that the Leech lattice gives a sphere covering which is locally least dense among lattice co...
textabstractWe show that the Leech lattice gives a sphere covering which is locally least dense amon...
The classical sphere packing problem asks for the best (infinite) arrangement of non-overlapping uni...
. We consider finite lattice coverings of strictly convex bodies K. For planar centrally symmetric ...
The classical sphere packing problem asks for the best (infinite) arrangement of non-overlapping uni...
The classical sphere packing problem asks for the best (infinite) arrangement of non-overlapping uni...
122 leaves : ill.Thesis (Ph.D.)--University of Adelaide, Dept. of Mathematics, 196
Let Λ be a lattice of full rank in the N-dimensional Euclidean space RN for N ≥ 2. The minimum of Λ ...
Let Λ be a lattice of full rank in the N-dimensional Euclidean space RN for N ≥ 2. The minimum of Λ ...
AbstractLet k be a positive square free integer, N(−k)12 the ring of algebraic integers in Q(−k)12 a...