例句與造句

1. Thus both multiplication and inversion are differentiable maps.
2. Even for infinitely differentiable maps f, the homeomorphism h need not to be smooth, nor even locally Lipschitz.
3. It extends further to differentiable maps between differentiable manifolds, as the points where the rank of the Jacobian matrix decreases.
4. The diffeological spaces, together with differentiable maps as morphisms, form a category of diffeological spaces is closed under many categorical operations.
5. The limit of this tower yields a topological but not differentiable map, hence surgery works topologically but not differentiably in dimension 4.
6. It's difficult to find differentiable map in a sentence. 用differentiable map造句挺難的
7. There is an analogous criterion for a continuously differentiable map with a fixed point, expressed in terms of its Jacobian matrix at,.
8. The Jacobian is the generalization of the gradient for vector-valued functions of several variables and differentiable maps between Euclidean spaces or, more generally, manifolds.
9. Earlier, Marston Morse and Hassler Whitney initiated and Ren?Thom developed a parallel theory of stability for differentiable maps, which forms a key part of singularity theory.
10. Gusein-Zade co-authored with V . I . Arnold and A . N . Varchenko the textbook " Singularities of Differentiable Maps " ( published in English by Birkh鋟ser ).
11. More generally, a simplex ( and a chain ) can be embedded into a manifold by means of smooth, differentiable map f \ colon \ mathbb { R } ^ n \ rightarrow M.
12. Wall's work since the mid-1970s has mostly been in singularity theory as developed by R . Thom, J . Milnor and V . Arnold, and especially concerns the classification of isolated singularities of differentiable maps and of algebraic varieties.
13. These categories are related by forgetful functors : for instance, a differentiable manifold is also a topological manifold, and a differentiable map is also continuous, so there is a functor \ mbox { Diff } \ to \ mbox { Top }.
14. The development of the theory of such maps showed that it is unreasonable to restrict oneself to differentiable maps in the classical sense, and that the " correct " class of maps consists of continuous maps in the Sobolev space " W " whose partial derivatives in the sense of distributions have locally summable " n "-th power, and such that the above inequality is satisfied almost everywhere.
15. The Klein surfaces form a category; a morphism from the Klein surface " X " to the Klein surface " Y " is a differentiable map " f " : " X " ?! " Y " which on each coordinate patch is either holomorphic or the complex conjugate of a holomorphic map and furthermore maps the boundary of " X " to the boundary of " Y ".