Statements (49)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
gptkb:Vector
|
| gptkbp:application |
gptkb:geometry
gptkb:signal_processing computer graphics physics quantum mechanics robotics statistics |
| gptkbp:contains |
orthogonal matrices
identity matrix |
| gptkbp:definedIn |
real numbers
|
| gptkbp:dimensions |
n^2/2
|
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:generalizes |
orthogonal group
orthogonal group over complex numbers |
| gptkbp:hasSubgroup |
orthogonal group
diagonal matrices with ±1 entries |
| https://www.w3.org/2000/01/rdf-schema#label |
Orthogonal group
|
| gptkbp:namedFor |
gptkb:mathematician
|
| gptkbp:notation |
O(n)
|
| gptkbp:order |
infinite
|
| gptkbp:preserves |
inner product
quadratic form |
| gptkbp:relatedConcept |
gptkb:Gram-Schmidt_process
orthogonal complement orthonormal basis isometry orthogonal group orthogonal projection orthogonal transformation orthogonalization orthogonal symmetry orthogonal space orthogonal subgroup orthogonal tensor orthogonal transformation group orthogonal vector orthogonalization matrix orthogonalization operator orthogonalization process orthogonalization theorem |
| gptkbp:relatedTo |
reflection
orthogonal group rotation |
| gptkbp:subclassOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:bfsParent |
gptkb:group_of_people
|
| gptkbp:bfsLayer |
4
|