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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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https://www.w3.org/2000/01/rdf-schema#label
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Euclidean spaces
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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
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R^n
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gptkbp:property
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gptkb:Hilbert_space
gptkb:normed_vector_space
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
inner product space
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gptkbp:bfsParent
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gptkb:Cauchy-Schwarz_inequality
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gptkbp:bfsLayer
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5
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