Sentence examples for apply integration from inspiring English sources

We apply integration by parts and the Cauchy inequality.

In order to prove the convergence of the last series, we apply integration by parts in (3.6).

Let us suppose that the statement holds for m − 1 and let us apply integration by parts on the right-hand side of the formula.

GOPred and PFP tools apply integration of different data sources related to the sequence to be annotated, rather than searching strict pattern matching to identify functional motifs in the sequences of proteins.

Then, we apply integration model onto these "optimal gene sets".

Next, applying integration by parts to the third integral on the right-hand side of (3.23), we easily get int u^{n}cdotnablaoverline{p}^{n+1} overline{h}^{n+1} leq C intbiglvert nabla u^{n}bigrvert biglvert overline{rho}^{n+1}bigrvert biglvert overline{h}^{n+1} bigrvert +C intbiglvert u^{n}bigrvert biglvert overline{ rho}^{n+1}bigrvert biglvert nablaoverline {h}^{n+1} bigrvert.

The necessary condition represented by (3.12) is obtained by applying integration by parts in (3.7) and then substituting (3.11) in the resulting integrals.

Applying integration by parts in Lemma 2.2, by (iii) in Lemma 2.1, we get (4.4).

Integrating this and applying integration by parts, we obtain the term.

In this study, we applied integration of neuro-fuzzy and GIS techniques for assessment of groundwater quality.

Similar to the proof of Theorem 2.1 applying integration by parts to identity (1.3) and then using identity (2.4).