Sentence examples for achieve this proof from inspiring English sources
To achieve this, proof of concept studies are being undertaken at key Chinese universities and research centres to assess the relevance and transferability of Queen's University-developed technologies.
The difficulty of reconciling the statistical nature of failure in ceramics with the deterministic nature in codes is addressed and it is suggested that the only way to achieve this is by a proof testing approach.
Since (xi_{n}) is a Cauchy sequence in (X_{T}) and contains a subsequence (xi_{m_{k}}) which converges to ξ, (xi_{n}) converges to ξ in (X_{T}), and by this we achieve the proof.
Proof To achieve this we will think about the following f sub-Hilbert space of the Hilbert space H = L ((0, T )) [ 13 ] that can be defined as the set of those functions in the following space: (22) v : (0, T ) ⟶ R, B B = { u, v ∣ A (u, v ) < ∞ }.
Choosing δ conveniently and applying the discrete Gronwall inequality, we achieve the proof of Lemma 7. ■.
Now, to achieve the proof of (5.10), we would like to replace the (E_j) with a sequence of sets converging to B in (C^1) and contradicting inequality (5.8).
Thus, to achieve the proof of (4.33) we only need to show that begin{aligned} int _I|tau ^prime (t -1|,dt -1|(n)sqrt{D(E^*)}.
Hence gammabigl overline{co}(A bigr) (t) leqgamma(A) (t),quad 0 leq t leq T. It follows that (gamma overline{co}(A))leqgamma(A)), by which we achieve the proof for the first assertion.
This achieves the Proof of Theorem 2.
