Sentence examples for using the technique given from inspiring English sources

One can easily prove this theorem by using the technique given in the proof of Theorem 2.1.

One can easily obtain conclusion by using the technique given in the proof of Theorem 2.8 [8].

Tables of upper limits of critical values are obtained using the technique given in Lam [Lam, K., 1987. Subset selection of normal populations under heteroscedasticity.

Using the technique given in [20, 21], Mohanty et al.[22, 23, 24] have discussed the application of TAGE iterative method to fourth order accurate cubic spline approximation for the solution of non-linear singular two point boundary problems.

To prove these lemmas, we use the technique given in Sanhan and Mongkolkeha [1].

We conclude this paper by noting that by extending Tables 1 and 2 and using the same technique given here, all other known formulas in [3] (see (1.9) can be proved and further extension summation formulas for in (1.9).

We use the solution technique given in [21] to evaluate the numerical solutions of the system for μ values (1, 0.8) and 0.6.

To prove the following theorem we will use the same technique given in [15] and will consider that lim n inf p n > 1. Theorem 3.19 The Banach space N ( λ, p ) has the k-NUC property for every k ≥ 2. Proof Let ϵ > 0 and ( x n ) ⊂ B ( N ( λ, p ) ) with sep ( x n ) ≥ ϵ.

The images obtained from using the MAP technique give a post-replication snapshot of probable cohesin-chromatin interactions at CAR loci.

Direct comparison of mRNA expression levels measured using this technique gave identical results to those obtained using conventional RT PCR or TaqMan real-time quantitative PCR (Brady, unpublished data).

An upper limit of critical values are obtained using the recent techniques given in Lam (Proceedings of the Second International Advanced Seminar/Workshop on Inference Procedures Associated with Statistical Ranking and Selection, Sydney, Australia, August 1987; Comm. Statist. Simulation Comput. B17(3) (1988) 55).