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Diff — Ricci calculus

Revision #281 → #1537 · back to history

addedComponent of a tensorb8fca719f9bd
addedEinstein notation7954c43b589f
addedLatin index convention9dabdd048653
addedGreek index convention2b84814cb2a4
addedCoordinate vector in 3-D Euclidean spacea2a2830a8477
addedLabelling indices with diacriticsff7238ce95b2
addedLorentz transformation indicesb1bf8db3403f
addedUpper vs lower indices0098b8116879
addedDropping index distinction with identity metric7c661a3cc72e
addedCovariant components119435cd4817
addedContravariant components8c3258e5aec6
addedMixed-variance components460ca54cabee
addedIndex ordering is significantf7ca2fc73479
addedTensor type (p, q)475370e4d251
addedDegree of a tensorce964c310ca4
addedSummation convention6a10e5bd8e9f
addedTensor contractiond400a84608a3
addedMulti-index notation3ab922495b7c
addedSequential summation notation383a3102670b
addedRaising and lowering indices830b65fbdf25
addedTensor equality componentwiseb01e52f93333
addedFree indicesc40210aaa71e
addedDummy indices15374d516410
addedNumber of equations represented95671370cdc1
added64 equations in four dimensions72dcb4659c87
addedIndices are replaceable labels64b397d1f70d
addedCorrect vs erroneous index change87f38a709e4d
addedFree indices consistent across termsafa353980e9c
addedBracket/punctuation shown once51279623acee
addedSymmetrized part of tensor81afbad544e0
addedTwo-index symmetrization0c0922a9cbcd
addedSymmetrization distributive over additiondf2b051a156d
addedAntisymmetrized part of tensor245a48a81fb5
addedElectromagnetic tensor / Gauss's law2873abeefb7b
addedAntisymmetrization distributive over additionf118974ca686
addedDecomposition into symmetric and antisymmetric parts58d3b7e4df2d
addedDerivative index notationb3c6d440a932
addedPartial derivative comma notation76cbd4423b2b
addedPartial derivative product rule10a9ca23ddc5
addedCovariant derivative semicolon notation927f991e1326
addedCovariant derivative transforms as a tensora64019e75ce2
addedCovariant derivative product rule0544a3db6b49
addedAffine connection94a667b12997
addedMetric connection0f6de4bae675
addedRiemannian connection6287b1c55fa4
addedLevi-Civita connection6a9eab4d427e
addedChristoffel symbols of the second kind02008e268ddf
addedExterior derivative8aedd2eb5cb6
addedLie derivativef141a3a86db8
addedLie derivative of vector along itself is zero75ddc25f8eb2
addedKronecker delta as identity72e080a2f8af
addedKronecker delta is an invariant type-(1,1) tensor67d6f2e05a62
addedGeneralized Kronecker delta8802face4164
addedTorsion tensorf4fbef33337d
addedRiemann curvature tensor as commutatora78ff2a228a2
addedRicci identitiesea784340db5b
addedMetric tensor and length of curves26c6c12744ae
addedInverse metric tensorb4a2c6e87f42