Revision #2497 → #2715 · back to history
addedScalar multiplication as vector space operationd8ab73120aa9
addedScalar multiplication as module operation22e9e704f238
addedPositive real scalar preserves Euclidean vector direction1f0c506b86b5
addedScalar multiplication product typedfee442ee450
addedInner product distinction3f5fb35700a0
addedScalar multiplication functionfa9c19afacac
addedScalar multiplication notationcef022a6d374
addedScalar additivity4787dcd12064
addedVector additivity9941b358b4cd
addedCompatibility with scalar producte21e76bde437
addedOne scalar identity9ed1d208562f
addedZero scalar gives zero vector35b6b8751d52
addedNegative one gives additive inverse8ace49befe6b
addedPlus sign convention2760f7d80c35
addedZero convention185e86e57c5f
addedJuxtaposition convention1b7b70703ef5
addedCoordinate space interpretation794c60ea0891
addedField units form group28f44e76799a
addedScalar multiplication as group action779c56317a6a
addedZero scalar collapses coordinate space3e1fec991534
addedReal scalar multiplication scales length3d71137327d1
addedReal scalar multiplication preserves or reverses direction990886cd04e1
addedField as vector space over itself4c75b118d8dc
addedScalar multiplication in field caseb1b97d337226
addedCoordinate vector space68e1e079d70a
addedComponentwise scalar multiplication1a4ffee878cd
addedModule scalar multiplication over commutative ring1a0ef10ade67
addedScalar multiplication over a rig9672b1249642
addedRig has no additive inverse86ffab4d8d4d
addedLeft and right scalar multiplicationeb9d78afdd15
addedLeft scalar multiplication of a matrixb65fc109dda5
addedLeft scalar multiplication notation9237e6615fb2
addedLeft scalar multiplication entries97f1b0fbe4e2
addedRight scalar multiplication of a matrix7b476727a517
addedLeft and right matrix scalar multiplication agree over commutative field4be5864906ee
addedMatrix scalar multiplication over commutative fields106782974c64
addedLeft and right matrix scalar multiplication may differ over noncommutative fieldsfbd20953453f
addedReal scalar and matrix examplef5919538e936
addedQuaternion scalar and matrix example37986becbab3
addedQuaternion unitsa1278ae6908c
addedQuaternion noncommutativity blocks equality of left and right products1d2131f8d88a