Sentence examples for a smooth extension from inspiring English sources

Democrats and their allies are now trying to brand a McCain presidency as "Bush's third term," but the McCain campaign has not exactly been running like a smooth extension of the Bush machine.

Olin Partnership, the landscape architect, has suggested that the same effect could be accomplished with a more gradual slope -- a significant improvement -- but the key will be to create a balance in which the gardens feel like a smooth extension of the public realm.

In both cases, there is a smooth extension of the results in Jackson and Wolinsky's connections model in these regions.

It is a lower bound for the number of fixed points in S n − 1 of a smooth extension of a smooth and transversally fixed map ϕ.

If d ≥ 2 and f : B 2 → B 2 is a smooth extension of ϕ d, then f has at least one interior fixed point.

We first make a smooth extension of h outside of 0≤x≤1, so that the extended h is bounded and has compact support.

Hence by hypothesis, it is a section of C T c (S ) along M. Consider, now, any smooth extension of L to a section of T 1, 0 (S ) over a neighborhood of 0 in S, which we denote by L ˜.

Let ϕ : A → A be a smooth map with smooth extension f : ( X, A ) → ( X, A ). Suppose that p ∈ A is an isolated fixed point of f and that d ϕ p − I A : T p A → T p A is a nonsingular linear transformation.

We will modify the proof of Theorem 1 that was given in [2] in order to obtain a result of this type in the setting of smooth extension maps on a pair consisting of an n-dimensional compact smooth manifold X and an ( n − 1 ) -dimensional smooth submanifold A of the interior of X.

In a previous work we introduced the Immersed Boundary Smooth Extension (IBSE) method, a variation of the IB method that achieves high-order accuracy for elliptic PDE by smoothly extending the unknown solution of the PDE from a given smooth domain to a larger computational domain, enabling the use of simple Cartesian-grid discretizations.

Applying Proposition 7, we have N 1 ( f | ϕ ) − N ( f | ϕ ) = { 0 if  ( − 1 ) n d ≤ 1, 1 if  ( − 1 ) n d ≥ 2. Thus, every smooth extension over B n of a sparse map of S n − 1 of degree d with ( − 1 ) n d ≥ 2 has a fixed point on the interior of B n. □.