Sentence examples for embedding exists from inspiring English sources

We show that the quantum analogue of this embedding exists.

Foulis and Randall show that no such embedding exists for which B is orthocoherent.

We show that such an embedding exists for every uniformly Eberlein compact space.

In particular such an embedding exists for the C∗-algebra of a second countable amenable locally compact maximally almost periodic group.

Moreover, the mth-order derivative of (y_0 x)) with respect to the embedding parameter exists at (p=0) for all positive integral values of m.

We construct Neumann Wigner type potentials for the massive relativistic Schrödinger operator in one and three dimensions for which an embedded eigenvalue exists.

The Gurariĭ space is the unique separable Banach space G which is of almost universal disposition for finite-dimensional Banach spaces, which means that for every ε>0, for all finite-dimensional normed spaces E⊆F, for every isometric embedding e E→G there exists an ε-isometric embedding f:F→G such that f↾E= e.

Then, we have proved that under some given conditions, both the function and the embedding do exist.

Therefore, by Sobolev embedding theorems, there exists a positive constant such that (2.3).

By the Sobolev embedding theorem, there exists a constant (M_{13}>0) such that (|u|_{infty} leq M_{13}|u|_{H^{1}_{T}}).

Then by Lemma 1 and Sobolev embedding theorem, there exists a (tau_{p}>0) such that |u|_{p}leqtau_{p}|u|, quad forall u in E, (5) for all (1leq pleqfrac{2N}{N-4}).