例句與造句

1. An open set in admits a local trivialization if and only if there exists a local section on.
2. Specifically, given a local trivialization of " E " with inverse of the transpose ).
3. Given a local trivialization one can reduce " ? " to the horizontal vector fields ( in this trivialization ).
4. gives a local trivialization for, and the push-forwards of the original vector space operations read in the adapted coordinates as
5. If the transition maps between charts of an atlas preserve a local trivialization, then the atlas defines the structure of a fibre bundle.
6. It's difficult to find local trivialization in a sentence. 用local trivialization造句挺難的
7. The open neighborhood " U " together with the homeomorphism ? is called a "'local trivialization "'of the vector bundle.
8. A fibered manifold together with a manifold is a fiber bundle with "'typical fiber "'( or just "'fiber "') if it admits a local trivialization with respect to.
9. The dual bundle is locally trivial because the dual space of the inverse of a local trivialization of " E " is a local trivialization of " E * " : the key point here is that the operation of taking the dual vector space is functorial.
10. The dual bundle is locally trivial because the dual space of the inverse of a local trivialization of " E " is a local trivialization of " E * " : the key point here is that the operation of taking the dual vector space is functorial.
11. This definition clearly respects the cocycle condition on the transition functions, since in each case they are given by the same system of " G "-valued functions . ( Using another local trivialization, and passing to a common refinement if necessary, the " g " ij transform via the same coboundary . ) Hence, by the fiber bundle construction theorem, this produces a fibre bundle " E " & prime; with fibre " F " & prime; as claimed.