3-dimensional Euclidean space

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:Euclidean_space gptkb:Vector
gptkbp:basisFor	standard basis (e1, e2, e3)
gptkbp:coordinates	gptkb:cylindrical_coordinates gptkb:spherical_coordinates Cartesian coordinates
gptkbp:dimensions	3
gptkbp:field	real numbers
gptkbp:hasApplication	gptkb:computer_graphics gptkb:architecture mechanics robotics
gptkbp:hasConnection	yes
gptkbp:hasGroupOfIsometries	gptkb:Euclidean_group_E(3)
gptkbp:hasInnerProduct	dot product
gptkbp:hasNorm	Euclidean norm
gptkbp:hasSubspaces	lines points planes
gptkbp:includesMetric	Euclidean metric
gptkbp:isAffineSpace	yes
gptkbp:isBanachSpace	yes
gptkbp:isFiniteDimensional	yes
gptkbp:isFlat	yes
gptkbp:isHausdorff	yes
gptkbp:isHilbertSpace	yes
gptkbp:isHomogeneous	yes
gptkbp:isInnerProductSpace	yes
gptkbp:isIsotropic	yes
gptkbp:isLocallyCompact	yes
gptkbp:isManifold	yes
gptkbp:isMetricSpace	yes
gptkbp:isNormedVectorSpace	yes
gptkbp:isOrientable	yes
gptkbp:isParacompact	yes
gptkbp:isRealVectorSpace	yes
gptkbp:isSecondCountable	yes
gptkbp:isSeparable	yes
gptkbp:isSmoothManifold	yes
gptkbp:isStandardModelFor	gptkb:physical_space
gptkbp:isTopologicalVectorSpace	yes
gptkbp:notation	R^3
gptkbp:numberOfIssues	yes
gptkbp:originatedIn	(0,0,0)
gptkbp:subclassOf	gptkb:n-dimensional_Euclidean_space
gptkbp:usedIn	gptkb:geometry engineering physics
gptkbp:bfsParent	gptkb:real_projective_plane gptkb:Alexander_horned_sphere gptkb:Plumber's_Nightmare gptkb:SO(3) gptkb:n-dimensional_Minkowski_space gptkb:Torus
gptkbp:bfsLayer	7
https://www.w3.org/2000/01/rdf-schema#label	3-dimensional Euclidean space