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Angles between flats

The concept of angles between lines (in the plane or in space), between two planes (dihedral angle) or between a line and a plane can be generalized to arbitrary dimensions. This generalization was first discussed by Camille Jordan. For any pair of flats in a Euclidean space of arbitrary dimension one can define a set of mutual angles which are invariant…

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Angles between subspaces

SubspacesRealUnit vectorOrthonormalBasis
13 related topics

Computation

Canonical correlationCovarianceCosineIll-conditionedPrecision
10 related topics

Variational characterization

Inner productNorm
2 related topics

Overview

AnglesLinesPlaneSpaceDihedral angle
15 related topics

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Jordan's definition

Angles between subspaces

Variational characterization

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Computation

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Angles between flats

Nodes59
Edges58
Triples0
Avg. degree1.97
Density0.033898
Components1

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displaystyle angles subspaces space vectors theta principal flats angle inner orthogonal mathcal two canonical pi corresponding set one intersect product

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