|
gptkbp:instanceOf
|
gptkb:Euclidean_space
|
|
gptkbp:alsoKnownAs
|
R^n
|
|
gptkbp:automorphismGroup
|
gptkb:Euclidean_group
|
|
gptkbp:basisFor
|
standard basis
|
|
gptkbp:contains
|
origin
vectors
points
|
|
gptkbp:coordinates
|
Cartesian coordinates
|
|
gptkbp:dimensions
|
finite
n
|
|
gptkbp:generalizes
|
Euclidean line
Euclidean plane
Euclidean 3-space
|
|
gptkbp:hasConnection
|
yes
|
|
gptkbp:hasInnerProduct
|
dot product
|
|
gptkbp:hasSpecialCase
|
gptkb:Euclidean_space
real coordinate space
|
|
gptkbp:hasZeroCurvature
|
yes
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Euclidean n-space
|
|
gptkbp:includesMetric
|
Euclidean metric
|
|
gptkbp:isFlat
|
yes
|
|
gptkbp:isHausdorff
|
yes
|
|
gptkbp:isHomogeneous
|
yes
|
|
gptkbp:isIsotropic
|
yes
|
|
gptkbp:isLocallyCompact
|
yes
|
|
gptkbp:isManifold
|
yes
|
|
gptkbp:isNormedSpace
|
yes
|
|
gptkbp:isometryGroup
|
gptkb:Euclidean_group
|
|
gptkbp:isOrientable
|
yes
|
|
gptkbp:isParacompact
|
yes
|
|
gptkbp:isSecondCountable
|
yes
|
|
gptkbp:isSeparable
|
yes
|
|
gptkbp:isSmoothManifold
|
yes
|
|
gptkbp:isTopologicalSpace
|
yes
|
|
gptkbp:isVectorSpaceOver
|
real numbers
|
|
gptkbp:notation
|
R^n
|
|
gptkbp:numberOfIssues
|
yes
|
|
gptkbp:reflectionGroup
|
O(n)
|
|
gptkbp:rotationGroup
|
gptkb:SO(n)
|
|
gptkbp:translationGroup
|
R^n
|
|
gptkbp:usedIn
|
gptkb:geometry
analysis
computer science
engineering
physics
linear algebra
|
|
gptkbp:bfsParent
|
gptkb:orthogonal_group_O(n)
|
|
gptkbp:bfsLayer
|
7
|