|
gptkbp:instanceOf
|
gptkb:mathematical_concept
|
|
gptkbp:basisFor
|
gptkb:Orthonormal_basis
|
|
gptkbp:contrastsWith
|
gptkb:Minkowski_space
gptkb:Riemannian_manifold
Non-Euclidean space
|
|
gptkbp:coordinates
|
gptkb:Cylindrical_coordinates
Cartesian coordinates
Polar coordinates
Spherical coordinates
|
|
gptkbp:describedBy
|
gptkb:Euclidean_geometry
Axioms of Euclid
|
|
gptkbp:dimensions
|
2
3
n
|
|
gptkbp:generalizes
|
Euclidean line
Euclidean plane
|
|
gptkbp:hasApplication
|
gptkb:robot
gptkb:Analytic_geometry
Computer vision
Machine learning
Optimization
Vector calculus
Angle measurement
Distance calculation
Physics modeling
|
|
gptkbp:hasNorm
|
Euclidean norm
|
|
gptkbp:hasProperty
|
Isotropic
Homogeneous
Flat geometry
|
|
gptkbp:hasSpecialCase
|
gptkb:Hilbert_space
gptkb:Normed_vector_space
gptkb:Real_vector_space
Metric space
|
|
gptkbp:hasSubgroup
|
gptkb:Affine_space
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Euclidean Space
|
|
gptkbp:includesMetric
|
Euclidean metric
|
|
gptkbp:namedAfter
|
gptkb:Euclid
|
|
gptkbp:operator
|
Dot product
Scalar multiplication
Vector addition
|
|
gptkbp:originatedIn
|
Yes
|
|
gptkbp:structure
|
gptkb:Vector
gptkb:Inner_product_space
Metric space
|
|
gptkbp:usedIn
|
gptkb:Computer_graphics
gptkb:Physics
gptkb:Linear_algebra
Engineering
Classical geometry
|
|
gptkbp:bfsParent
|
gptkb:Kuzma_Petrov-Vodkin
|
|
gptkbp:bfsLayer
|
6
|