例句與造句

1. If s : X \ to Y is a section, its covariant differential
2. on Y called the " covariant differential " relative to the connection \ Gamma.
3. In particular, a first-order dynamic equation on a fiber bundle Q \ to \ mathbb R is a kernel of the covariant differential of some connection \ Gamma on Q \ to \ mathbb R.
4. Then our covariant differential constraint on S _ { ab } shows how variations in the trace of the stress energy tensor in our spacetime model can generate a nonzero trace-free Ricci tensor, and thus nonzero semi-traceless curvature, which can propagate into a vacuum region.
5. If " T " is a tensor field with at least one contravariant index, taking the covariant differential and contracting the chosen contravariant index with the new covariant index corresponding to the differential results in a new tensor of rank one lower than that of " T ".
6. It's difficult to find covariant differential in a sentence. 用covariant differential造句挺難的
7. For A = { \ Bbb C } [ t, t ^ {-1 } ] the algebra of functions on an algebraic circle, the translation ( i . e . circle-rotation )-covariant differential calculi are parametrized by q \ ne 0 \ in \ Bbb C and take the form
8. Then matter fields, possessing an exact symmetry group H, in the presence of classical Higgs fields are described by sections of some Lagrangian of these matter fields is gauge invariant only if it factorizes through the vertical covariant differential of some connection on a principal bundle P \ to P / G, but not P \ to X.
9. In general relativity, something somewhat analogous happens, but there it is the " Ricci tensor " which vanishes in any vacuum region ( but " not " in a region which is matter-free but contains an electromagnetic field ), and it is the " Weyl curvature " which is generated ( via another first order covariant differential equation ) by variations in the stress energy tensor and which then propagates into vacuum regions, rendering gravitation a long-range force capable of propagating through a vacuum.