tensor density वाक्य

उदाहरण वाक्य

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. This allows one to define the concept of "'tensor density "', a'twisted'type of tensor field.
7. This tensor density is uniquely characterized by its conformal properties coupled with the demand that it be differentiable for arbitrary metrics, as shown by.
8. Note that these classifications elucidate the different ways that tensor densities may transform somewhat pathologically under orientation-" reversing " coordinate transformations.
9. Regardless of their classifications into these types, there is only one way that tensor densities transform under orientation-" preserving " coordinate transformations.
10. 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.