ExplicitPartialD
ExplicitPartialD[exp]
inserts the definitions for LeftRightPartialD
, LeftRightPartialD2
, LeftRightNablaD
, LeftRightNablaD2
, LeftNablaD
and RightNablaD
See also
Overview, ExpandPartialD, LeftRightPartialD, LeftRightPartialD2, LeftRightNablaD, LeftRightNablaD2, LeftNablaD, RightNablaD.
Examples
LeftRightPartialD[\[Mu]]
ExplicitPartialD[%]
∂μ
21(∂μ−∂μ)
LeftRightPartialD2[\[Mu]]
ExplicitPartialD[%]
∂μ
∂μ+∂μ
LeftRightPartialD[OPEDelta]
ExplicitPartialD[%]
∂Δ
21(∂Δ−∂Δ)
16 LeftRightPartialD[OPEDelta]^4
ExplicitPartialD[%]
16∂Δ4
(∂Δ−∂Δ)4
Notice that by definition ∇i=∂i=−∂i, where the last equality depends on the metric signature.
LeftNablaD[i]
ExplicitPartialD[%]
∇i
−∂i
RightNablaD[i]
ExplicitPartialD[%]
∇i
−∂i
LeftRightNablaD[i]
ExplicitPartialD[%]
∇i
21∂i−∂i
LeftRightNablaD2[\[Mu]]
ExplicitPartialD[%]
∇μ
−∂μ−∂μ