Statements (50)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:basisFor |
set of n linearly independent vectors
|
| gptkbp:commonlyDefinedIn |
gptkb:Euclidean_space
|
| gptkbp:definedIn |
locally compact topological group
|
| gptkbp:example |
gptkb:Weyl_group
gptkb:integer_lattice_Z^n hexagonal lattice |
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:generation |
basis vectors
|
| gptkbp:hasApplication |
gptkb:algebraic_geometry
gptkb:signal_processing Fourier analysis chemistry crypt error-correcting codes materials science mathematical physics modular forms physics combinatorics optimization quasicrystals sphere packing integer programming lattice-based cryptography |
| gptkbp:hasCovolume |
volume of fundamental parallelepiped
|
| gptkbp:hasProperty |
discrete
finite covolume cocompact |
| https://www.w3.org/2000/01/rdf-schema#label |
lattice (discrete subgroup)
|
| gptkbp:namedFor |
gptkb:Carl_Friedrich_Gauss
|
| gptkbp:rank |
n (in n-dimensional space)
|
| gptkbp:relatedTo |
gptkb:Lie_group
modular group quotient space Bravais lattice fundamental domain |
| gptkbp:studiedBy |
gptkb:Évariste_Galois
gptkb:Hermann_Minkowski gptkb:Sophie_Germain |
| gptkbp:subclassOf |
discrete subgroup
additive subgroup |
| gptkbp:usedIn |
gptkb:geometry
coding theory cryptography crystallography group theory number theory |
| gptkbp:bfsParent |
gptkb:Lattice_(order_theory)
|
| gptkbp:bfsLayer |
8
|