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Orientation (vector space)

The orientation of a real vector space or simply orientation of a vector space is the arbitrary choice of which ordered bases are "positively" oriented and which are "negatively" oriented. In the three-dimensional Euclidean space, right-handed bases are typically declared to be positively oriented, but the choice is arbitrary. A vector space with an…

Definition, Alternate viewpoints & Orientation on manifolds

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Definition

Alternate viewpoints

Orientation on manifolds

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Orientation (vector space)

Nodes63
Edges62
Triples0
Avg. degree1.97
Density0.031746
Components1

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Important terminology

orientation vector space basis two line choice oriented bases positive ordered orientations real zero-dimensional displaystyle gl one determinant point linear

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