Statements (34)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
gptkb:Euclidean_space
|
| gptkbp:alsoKnownAs |
group of isometries of Euclidean space
|
| gptkbp:dimensions |
depends on dimension of Euclidean space
|
| gptkbp:hasApplication |
computer vision
mechanics robotics |
| gptkbp:hasSubgroup |
gptkb:affine_group
gptkb:general_linear_group orthogonal group translation group |
| https://www.w3.org/2000/01/rdf-schema#label |
Euclidean group
|
| gptkbp:identityElement |
identity transformation
|
| gptkbp:includes |
reflections
translations glide reflections rotations |
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isSemidirectProductOf |
orthogonal group
translation group |
| gptkbp:notation |
gptkb:ISO(n)
E(n) |
| gptkbp:order |
infinite
|
| gptkbp:preserves |
Euclidean distance
|
| gptkbp:relatedTo |
gptkb:Galilean_group
gptkb:Poincaré_group |
| gptkbp:studiedIn |
gptkb:geometry
crystallography physics |
| gptkbp:bfsParent |
gptkb:Euclid
gptkb:Euclidean_space gptkb:Weyl_group gptkb:finite-dimensional_Euclidean_space |
| gptkbp:bfsLayer |
5
|