tensor densities造句

例句与造句

1. The construction of tensor densities is a'twisting'at the cocycle level.
2. As applied to tensor densities, it " does " make a difference.
3. More generally, any tensor density is the product of an ordinary tensor with a scalar density of the appropriate weight.
4. With this choice, classical densities, like charge density, will be represented by tensor densities of weight + 1.
5. Such a connection ? immediately defines a covariant derivative not only on the tangent bundle, but on vector bundles tensor densities.
6. It's difficult to find tensor densities in a sentence. 用tensor densities造句挺难的
7. This allows one to define the concept of "'tensor density "', a'twisted'type of tensor field.
8. This tensor density is uniquely characterized by its conformal properties coupled with the demand that it be differentiable for arbitrary metrics, as shown by.
9. Note that these classifications elucidate the different ways that tensor densities may transform somewhat pathologically under orientation-" reversing " coordinate transformations.
10. Regardless of their classifications into these types, there is only one way that tensor densities transform under orientation-" preserving " coordinate transformations.
11. Also, the specific term " symbol " emphasizes that it is not a tensor because of how it transforms between coordinate systems, however it can be interpreted as a tensor density.
12. Before we state the next difficulty we should give a definition; a tensor density of weight W transforms like an ordinary tensor, except that in addition the W th power of the Jacobian,
13. The bundle of densities cannot seriously be defined'at a point'; and therefore a limitation of the contemporary mathematical treatment of tensors is that tensor densities are defined in a roundabout fashion.
14. The Cotton tensor can be regarded as a vector valued 2-form, and for " n " = 3 one can use the Hodge star operator to convert this into a second order trace free tensor density
15. The hyperdeterminant can be written in a more compact form using the Einstein convention for summing over indices and the Levi-Civita symbol which is an alternating tensor density with components ? ij specified by ? 00 = ? 11 = 0, ? 01 =  " ? 10 = 1:
16. A " tensor density " is the special case where " L " is the bundle of " densities on a manifold ", namely the determinant bundle of the cotangent bundle . ( To be strictly accurate, one should also apply the absolute value to the transition functions  this makes little difference for an orientable manifold . ) For a more traditional explanation see the tensor density article.
更多例句：  下一页