例句與造句

1. If " X " is a compactly supported vector field and " M " is a manifold with boundary, then Stokes'theorem implies
2. If " M " is a manifold with boundary, then an orientation of " M " is defined to be an orientation of its interior.
3. Laurent Siebenmann in his thesis found an invariant similar to Wall's that gives an obstruction to an open manifold being the interior of a compact manifold with boundary.
4. In such a case, the corner points mean that is not a smooth manifold with boundary, and so the statement of Stokes'theorem given above does not apply.
5. Basic examples of stratified spaces include manifold with boundary ( top dimension and codimension 1 boundary ) and manifold with corners ( top dimension, codimension 1 boundary, codimension 2 corners ).
6. It's difficult to find manifold with boundary in a sentence. 用manifold with boundary造句挺難的
7. If X is a manifold with boundary, then we can define the restriction of the map f to the boundary, as \ partial f : \ partial X \ rightarrow Y.
8. Whereas handle decompositions are the analogue for manifolds what cell decompositions are to topological spaces, handle presentations of cobordisms are to manifolds with boundary what relative cell decompositions are for pairs of spaces.
9. These are related to the invariants for closed 3-manifolds by gluing formulas for the Floer homology of a 3-manifold described as the union along the boundary of two 3-manifolds with boundary.
10. S ^ 1 \ vee S ^ 1, the deformation of the space in question, is a 1-manifold except at one point, whereas T \ setminus D ^ 2 is a 2-manifold with boundary.
11. For almost any point, q, on the boundary, ( assuming it is not a fixed point ) the one manifold with boundary mentioned above does exist and the only possibility is that it leads from q to a fixed point.
12. After such a cutting M will be a manifold with boundary and in particular classically the dynamics of ? will be described by a WZW model . holomorphic and antiholomorphic factors whose products sum to the correlation functions of a 2-dimensional conformal field theory.
13. The main body of his work involves embedded contact homology, or ECH . ECH is a holomorphic curve model for the Seiberg-Witten-Floer homology of a three-manifold, and is thus a version of Taubes's Gromov invariant for certain four-manifolds with boundary.
14. This method of " modeling " diffeological spaces can be extended to other locals models, for instance : orbifolds, modeled on quotient spaces "'R " "'n " / ? where ? is a finite linear subgroup, or manifolds with boundary and corners, modeled on orthants etc.
15. Furthermore, this compact manifold with boundary, which is known as the " Milnor fiber " ( of the isolated singular point of V _ f at the origin ), is diffeomorphic to the intersection of the closed ( 2n + 2 )-ball ( bounded by the small ( 2n + 1 )-sphere ) with the ( non-singular ) hypersurface V _ g where g = f-e and e is any sufficiently small non-zero complex number.
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