Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Euclidean_space
gptkb:Convex_sets gptkb:Lattices |
| gptkbp:field |
gptkb:geometry
gptkb:Number_theory |
| gptkbp:generalizes |
gptkb:Blichfeldt's_theorem
gptkb:Minkowski's_second_theorem |
| https://www.w3.org/2000/01/rdf-schema#label |
Minkowski's theorem
|
| gptkbp:namedAfter |
gptkb:Hermann_Minkowski
|
| gptkbp:relatedTo |
gptkb:Minkowski's_convex_body_theorem
Lattice point theorem |
| gptkbp:sentence |
Any convex set in n-dimensional Euclidean space that is symmetric with respect to the origin and has volume greater than 2^n times the determinant of a lattice contains a nonzero lattice point.
|
| gptkbp:usedIn |
gptkb:Diophantine_approximation
gptkb:Algebraic_number_theory gptkb:Geometry_of_numbers |
| gptkbp:yearProposed |
1896
|
| gptkbp:bfsParent |
gptkb:geometry_of_numbers
|
| gptkbp:bfsLayer |
5
|