|
gptkbp:instanceOf
|
gptkb:group_of_people
|
|
gptkbp:actsOn
|
gptkb:Vector
|
|
gptkbp:application
|
gptkb:computer_graphics
gptkb:geometry
gptkb:signal_processing
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
|
gptkb:orthogonal_group
orthogonal group over complex numbers
|
|
gptkbp:hasSubgroup
|
gptkb:orthogonal_group
diagonal matrices with ±1 entries
|
|
gptkbp:namedFor
|
gptkb:mathematician
|
|
gptkbp:notation
|
O(n)
|
|
gptkbp:order
|
infinite
|
|
gptkbp:preserves
|
gptkb:inner_product
quadratic form
|
|
gptkbp:relatedConcept
|
gptkb:Gram-Schmidt_process
gptkb:orthogonal_group
orthogonal complement
orthonormal basis
isometry
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
|
gptkb:orthogonal_group
reflection
rotation
|
|
gptkbp:subclassOf
|
gptkb:group_of_people
gptkb:Lie_group
|
|
gptkbp:bfsParent
|
gptkb:Linear_Algebraic_Groups
|
|
gptkbp:bfsLayer
|
7
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Orthogonal group
|