smooth vector造句
例句與造句
- Every smooth vector field on a compact manifold without boundary is complete.
- Mathematically, spacetime symmetries are usually described by smooth vector fields on a smooth manifold.
- The triple becomes a smooth vector bundle with these vector space operations on its fibres.
- For a matrix Lie group, smooth vector fields can be locally represented in the corresponding Lie algebra.
- "X " is a smooth vector field on the two sphere vanishing only at 0 and ".
- It's difficult to find smooth vector in a sentence. 用smooth vector造句挺難的
- For all piece-wise smooth paths and all smooth vector fields, the domain of which includes, one has:
- Structural stability of non-singular smooth vector fields on the torus can be investigated using the theory developed by Poincar?and Arnaud Denjoy.
- That is, is the unique 1-form such that for every smooth vector field,, where is the directional derivative of in the direction of.
- A " symmetry on the spacetime " is a smooth vector field whose local flow diffeomorphisms preserve some ( usually geometrical ) feature of the spacetime.
- Its Lie algebra is the space \ mathfrak X ( M ) of all smooth vector fields on, with the negative of the usual bracket as Lie bracket.
- The category of smooth vector bundles is a bundle object over the category of smooth manifolds in "'Cat "', the category of small categories.
- Restricting to vector bundles for which the spaces are manifolds ( and the bundle projections are smooth maps ) and smooth bundle morphisms we obtain the category of smooth vector bundles.
- One begins by noting that an arbitrary smooth vector field X on a manifold M defines a family of curves, its integral curves u : I \ to M ( for intervals I ).
- These act on smooth vector fields to yield smooth functions by pointwise evaluation, namely, given a covector field " ? " and a vector field " X ", we define
- The converse is also true : every finitely generated projective module over C " ( " M " ) arises in this way from some smooth vector bundle on " M ".
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