zero section造句

例句与造句

1. The difference is that the symbols now form an exact sequence ( off the zero section ).
2. On the other hand, a vector bundle always has a global section, namely the zero section.
3. Two microbundles are isomorphic if they have neighborhoods of their zero sections which are homeomorphic by a map which make the necessary maps commute.
4. For instance, Vector bundles always have a zero section whether they are trivial or not and sphere bundles may admit many global sections without being trivial.
5. Note that the first condition suggests " i " is the zero section of a vector bundle, while the second is like the local triviality condition on a bundle.
6. It's difficult to find zero section in a sentence. 用zero section造句挺难的
7. An important distinction here is that " local triviality " for microbundles only holds near a neighborhood of the zero section . " E " could look very wild away from that neighborhood.
8. Often one speaks of a " solder form on a vector bundle ", where it is understood " a priori " that the distinguished section of the soldering is the zero section of the bundle.
9. The Mathai Quillen formalism appeared in Topology shortly after Mathai completed his PhD . Using the superconnection formalism of Quillen, they obtained a refinement of the Gaussian shaped representative of the Thom class in cohomology, which has a peak along the zero section.
10. In the case when there are just two non-zero bundles in the complex this implies that the symbol is an isomorphism off the zero section, so an elliptic complex with 2 terms is essentially the same as an elliptic operator between two vector bundles.
11. A theorem of Kister and Mazur states that there is a neighborhood of the zero section which is actually a fiber bundle with fiber R " n " and structure group Homeo ( R " n ", 0 ), the group of homeomorphisms of R " n " fixing the origin.
12. Fiber bundles do not in general have such " global " sections ( consider, for example, the fiber bundle over " S " 1 with fiber " F " =  !  " { 0 } obtained by taking the M鯾ius bundle and removing the zero section ), so it is also useful to define sections only locally.
13. The article was accepted for publication in the Transactions of the AMS . In rational curves on elliptic surfaces, Ulmer and his collaborators studied the objects of the title over the complex numbers and showed that " a very general elliptic surface of Kodaira dimension 1 has no rational curves other than the zero section and the singular fibers . " Ulmer further states, " Equivalently, a sufficiently general elliptic curve over C ( t ) has no rational points over any extension of the form C ( u ) where t is a rational function of u.