例句與造句

1. In particular, a globally hyperbolic manifold is foliated by Cauchy surfaces.
2. Any surface of constant t in Minkowski space-time is a Cauchy surface.
3. For such spacetimes the equations in general relativity can be posed as an initial value problem on a Cauchy surface.
4. The Cauchy surface is defined rigorously in terms of intersections with inextensible curves in order to deal with this case of circular time.
5. In particular, " M " is diffeomorphic to the product of a Cauchy surface with \ mathbb { R }.
6. It's difficult to find cauchy surface in a sentence. 用cauchy surface造句挺難的
7. This means that the initial conditions obey a constraint, and the Cauchy surface is not of the same character as when the future and the past are disjoint.
8. When there are closed timelike curves, or even when there are closed non-spacelike curves, a Cauchy surface still determines the future, but the future includes the surface itself.
9. If the Cauchy surface were compact, i . e . space is compact, the null geodesic generators of the boundary can intersect everywhere because they can intersect on the other side of space.
10. There is no preferred notion of time in a Schwarz-type topological field theory and so one can require that ? be a Cauchy surface, in fact, a state can be defined on any surface.
11. If the G鰀el spacetime admitted any boundaryless spatial hyperslices ( e . g . a Cauchy surface ), any such CTC would have to intersect it an odd number of times, contradicting the fact that the spacetime is simply connected.
12. In 2003, Bernal and S醤chez showed that any globally hyperbolic manifold " M " has a smooth embedded three-dimensional Cauchy surface, and furthermore that any two Cauchy surfaces for " M " are diffeomorphic.
13. In 2003, Bernal and S醤chez showed that any globally hyperbolic manifold " M " has a smooth embedded three-dimensional Cauchy surface, and furthermore that any two Cauchy surfaces for " M " are diffeomorphic.
14. It was previously well known that any Cauchy surface of a globally hyperbolic manifold is an embedded three-dimensional C ^ 0 submanifold, any two of which are homeomorphic, and such that the manifold splits topologically as the product of the Cauchy surface and \ mathbb { R }.
15. It was previously well known that any Cauchy surface of a globally hyperbolic manifold is an embedded three-dimensional C ^ 0 submanifold, any two of which are homeomorphic, and such that the manifold splits topologically as the product of the Cauchy surface and \ mathbb { R }.
16. In such universes Mach's principle can be stated as, "'the distribution of matter and field energy-momentum ( and possibly other information ) at a particular moment in the universe determines the inertial frame at each point in the universe "'( where'a particular moment in the universe'refers to a chosen Cauchy surface ).