Revision #520 → #1131 · back to history
addedCovariance and contravariancec26d6636b320
addedContravariant vs covariant vectorf2687e8ada01
addedVector as contravariant tensor004f56d2e40e
addedCovector38f951dfe49d
addedScalar (invariant)0241c541ba8c
addedDuality pairing0c79afd9d50d
addedChange of basis transformation8d4ab816a1a5
addedComponents of a vector in a basisd4d9d5c55213
addedContravariant transformation rulee8036898e5ac
addedLinear functional components629d52bf45b8
addedCovariant transformation rulefe700d2b3351
addedCoordinate functions49b5f77e67e2
addedContravariant vector (transforms like coordinates)feb6512372c3
addedCovariant vector (covector)0d59fcedb389
addedFrame related by inverse Jacobiance7f81e32d21
addedTangent vector617258f2981d
addedContravariant vector on a manifold7f6ad555e762
addedMetric identifies vectors with covectorse6a155f80f72
addedReciprocal basis0686d00cd41c
addedContravariant and covariant components3ab8dd2efcd9
addedDual basis in Euclidean planefbb8791270a1
addedDual basis perpendicularity2d3c5a660b25
addedDual basis of a 45° pairced65ec68e52
addedDual basis in 3D Euclidean spaced9751fda8282
addedMutually reciprocal bases67e9b156ffa5
addedContravariant components via dot product87e4ac120124
addedCovariant components via dot product23a0d3efd26e
addedOrthonormal basis equals dual basis367163a629c4
addedCovariant basis (D.1)4050e9e92d66
addedContravariant components (D.2)558dc2de1cb9
addedDual (contravariant) basis (D.3)84f3f8437558
addedCovariant components (D.4)bede1158f423
addedCovariant metric tensor (D.5)7356172413d6
addedContravariant metric tensor (D.6)7cb46dd27ef8
addedCorollary 13dc3fe354c56
addedCorollary 2064c98951509
addedCorollary 3468fd91c32ec
addedCorollary 48197defe4a57
addedCorollary 51d4b6d18f86d
addedCorollary 6c9e7ea5458bb
addedCorollary 7e11c6600049c
addedCorollary 81aabc920fcc7
addedCorollary 9813ebc70be65
addedCorollary 10f82c8066ca22
addedValence of a tensorb504b52b3ea7
addedRaising and lowering indices with the metricc425876e55d7
addedContravariant vector (tensor analysis)2587e230caf2
addedCovariant vector (tensor analysis)cb4070405a4e
addedDual space as contravariant functorb917420fa928
addedCovariant components in differential geometryff2d48e77c56