Sentence examples for using the conclusions of from inspiring English sources

Using the conclusions of recent strategic reviews, and in the light of the European research area concept, a framework for European research policy driven by co-ordination is proposed which combines the strengths of the existing schemes but sets them in the context of a broader European innovation policy.

Using the conclusion of Theorem 2.1, we finish the proof of Theorem 2.2.

By using the conclusion of contraction mapping principle in Banach space, we complete our proof.

Using the conclusion of Theorem 4.1, we know that ω is also a weak-cluster point of ((T(x_{n}))).

From Cases 3.1 and 3.2, one can easily obtain that x h ≥ 0 for all t ∈ J. (4) Since − C ≤ h ≤ C, using the conclusion of (3), we have x h − C ≤ 0, x h + C ≥ 0, t ∈ J.  .

Then the hypotheses of Lemma 3 are fulfilled with δ = p 4, t 0 = t * and using the conclusion of Lemma 3, there exists a finite time T* such that lim t → T * - Y ( t ) = 0, i.e., in this case some solutions blow up in finite time T*.

Since − C ≤ h ≤ C, using the conclusion of (3), we have x h − C ≤ 0, x h + C ≥ 0, t ∈ J. Noting that x h − C = x h − x C, x h + C = x h − x − C, we obtain that x − C ≤ x h ≤ x C, t ∈ J. (2.3).

Using the conclusion of Theorem 4.1, we get limsup_{n rightarrow+infty}biglVert x_{n} - T z bigrVert = limsup_{n rightarrow +infty}biglVert T(x_{n}) - T z bigrVert leq k z) limsup_{n rightarrow+infty} Vert x_{n} - zVert, i.e., (tau(T z)) leq k z) tau z)).

Thus, altogether, despite the significantly different algorithm used, the conclusions of Kowarsch's study are compatible and complementary to ours in assessing the contributions of correlated positions to the stability of proteins.

He said Iran and Britain were keen to use the conclusion of an agreement on the former's nuclear programme in July as an opportunity to discuss Syria and other regional issues.

Here we used the conclusion of the first part of our proof and statement (b) of Proposition 7.2.