Statements (36)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
gptkb:n-dimensional_Euclidean_space
|
| gptkbp:consistsOf |
isometries of Euclidean space
|
| gptkbp:contains |
reflections
translations glide reflections rotations |
| gptkbp:dimensions |
n
|
| gptkbp:hasSubgroup |
gptkb:affine_group
gptkb:orthogonal_group_O(n) special Euclidean group SE(n) translation group T(n) |
| https://www.w3.org/2000/01/rdf-schema#label |
Euclidean group E(n)
|
| gptkbp:identityElement |
identity transformation
|
| gptkbp:isFinite |
true
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isSemidirectProductOf |
gptkb:orthogonal_group_O(n)
translation group T(n) |
| gptkbp:namedAfter |
gptkb:Euclid
|
| gptkbp:notation |
E(n)
|
| gptkbp:order |
infinite
|
| gptkbp:preserves |
Euclidean distance
angles |
| gptkbp:relatedTo |
gptkb:Galilean_group
gptkb:symmetry gptkb:Poincaré_group gptkb:isometry_group |
| gptkbp:usedIn |
gptkb:geometry
computer vision crystallography mechanics physics robotics |
| gptkbp:bfsParent |
gptkb:special_orthogonal_group_SO(n)
|
| gptkbp:bfsLayer |
6
|