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gptkbp:instanceOf
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gptkb:mathematical_concept
|
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gptkbp:application
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gptkb:geometry
engineering
physics
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gptkbp:basisFor
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orthonormal basis
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gptkbp:coordinates
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Cartesian coordinates
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gptkbp:dimensions
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finite-dimensional
n-dimensional
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gptkbp:distance
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square root of sum of squares
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gptkbp:example
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Euclidean plane
three-dimensional space
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gptkbp:field
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gptkb:mathematics
|
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gptkbp:groupOfIsometries
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gptkb:Euclidean_group
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gptkbp:hasAxiom
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gptkb:parallelogram_law
|
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gptkbp:measures
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Euclidean metric
|
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gptkbp:namedAfter
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gptkb:Euclid
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gptkbp:notation
|
R^n
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gptkbp:property
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gptkb:Hilbert_space
gptkb:normed_vector_space
gptkb:topological_vector_space
homogeneous
linear
Hausdorff space
complete metric space
flat geometry
additive
Lebesgue measurable
associative
commutative
connected
convex
distributive
finite measure
isotropic
locally compact
paracompact
rotation invariant
scaling invariant
second-countable
separable
simply connected
translation invariant
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gptkbp:relatedTo
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gptkb:Euclidean_space
gptkb:Hilbert_space
gptkb:Riemannian_manifold
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gptkbp:structure
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gptkb:Vector
gptkb:topology
gptkb:inner_product_space
|
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gptkbp:bfsParent
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gptkb:Cauchy-Schwarz_inequality
gptkb:conformal_transformation
|
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gptkbp:bfsLayer
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6
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https://www.w3.org/2000/01/rdf-schema#label
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Euclidean spaces
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