例句與造句

1. Some higher-dimensional spheres have only two possible differentiable structures, others have thousands.
2. The notion of a diffeomorphism of " S " is redefined with respect to this modified differentiable structure.
3. There are also topological manifolds, i . e ., locally Euclidean spaces, which possess no differentiable structures at all.
4. These developments establish a connection between the John Milnor groups of differentiable structures on spheres and the smoothing methods of classical analysis.
5. Another common generalization of the delta function is to a differentiable manifold where most of its properties as a distribution can also be exploited because of the differentiable structure.
6. It's difficult to find differentiable structure in a sentence. 用differentiable structure造句挺難的
7. For example, there can be no local diffeomorphism from the 2-sphere to Euclidean two-space although they do indeed have the same local differentiable structure.
8. It also has a standard differentiable structure on it, making it a differentiable manifold . ( Up to diffeomorphism, there is only one differentiable structure that the topological space supports .)
9. It also has a standard differentiable structure on it, making it a differentiable manifold . ( Up to diffeomorphism, there is only one differentiable structure that the topological space supports .)
10. The obstruction theories due to Milnor, Kervaire, Kirby, Siebenmann, Sullivan, Donaldson show that only a minority of topological manifolds possess differentiable structures and these are not necessarily unique.
11. Thus the topological classification of 4-manifolds is in principle easy, and the key questions are : does a topological manifold admit a differentiable structure, and if so, how many?
12. At such a singular point, the differentiable structure of the surface is modified to make the point into a conical point with the total angle " & pi; p ".
13. Kreck worked on the classification of manifolds in differential topology ( e . g . bordism groups ), 4-manifolds with exotic differentiable structure and the interaction of differential geometry and topology.
14. Note also that although local diffeomorphisms preserve differentiable structure locally, one must be able to " patch up " these ( local ) diffeomorphisms to ensure that the domain is the entire ( smooth ) manifold.
15. In fact, the simplest way of introducing a differentiable structure on " J  " ( ? ) ", not relying on differentiable charts, is given by the differential calculus over commutative algebras.
16. For example, one can impose two different differentiable structures on "'R "'that make "'R "'into a differentiable manifold, but both structures are not locally diffeomorphic ( see below ).
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