4-dimensional Euclidean space

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:Vector gptkb:mathematical_concept
gptkbp:basisFor	standard basis
gptkbp:coordinates	Cartesian coordinates
gptkbp:describedBy	four coordinates
gptkbp:dimensions	4
gptkbp:generalizes	gptkb:3-dimensional_Euclidean_space gptkb:1-dimensional_Euclidean_space gptkb:2-dimensional_Euclidean_space
gptkbp:hasGroupOfIsometries	gptkb:O(4)
gptkbp:hasGroupOfRotations	SO(4)
gptkbp:hasInnerProduct	dot product
gptkbp:hasNorm	Euclidean norm
https://www.w3.org/2000/01/rdf-schema#label	4-dimensional Euclidean space
gptkbp:includesMetric	Euclidean metric
gptkbp:relatedTo	gptkb:4-cube gptkb:4-orthoplex gptkb:4-simplex gptkb:4D_geometry gptkb:4D_polytopes gptkb:hypersphere gptkb:special_relativity_(as_a_mathematical_analogy) quaternions hyperplane tesseract hyperrectangle 4D Pythagorean theorem 4D computer graphics 4D coordinate transformations 4D cross product 4D data analysis 4D distance formula 4D linear algebra 4D manifolds 4D physics theories 4D reflection 4D rotation 4D topology 4D translation 4D vector calculus 4D visualization hypervolume spacetime (contrast: Minkowski space)
gptkbp:subclassOf	gptkb:n-dimensional_Euclidean_space
gptkbp:symbol	R^4
gptkbp:usedIn	gptkb:geometry gptkb:mathematics physics
gptkbp:bfsParent	gptkb:3-sphere gptkb:real_projective_plane
gptkbp:bfsLayer	6