Sentence examples for making some simplifications from inspiring English sources

(23) and (22) into and making some simplifications, the proposition is proven.

While making some simplifications, the present work reproduces numerically the 2D propagation of a crack resulting from void growth induced damage.

Following the classical guidelines of cable dynamics, and by making some simplifications, a continuous model is found in this work; frequency and mode shape equations have been obtained in non-dimensional form.

By replacing (5) in (4) and making some simplifications, we obtain R NCPACF τ = ∑ i = 1 M - 1 - 1 i + 1 P i + P i + 1 q 2 J i t - q 2 I 1 t + q 2 I M t. (6).

After substituting Equation 12 into above energy equation and making some simplifications, we obtain the quantized momentum as P n = D c − ℏ 2 2 m c 3 b 2 + 2 b d 2 n + 1 + 1 + 8 m c 2 α 2 ℏ 2 D b 2 α 2 − 1 4 2 n + 1 + 1 + 8 m c 2 α 2 ℏ 2 D b 2 2. Open image in new window (17).

Due to the large variations among individuals, we have to make some simplifications.

First, our approach although comprehensive, did require us to make some simplifications and assumptions about the behavior of this system.

For the purpose of this paper we have also made some simplifications, e.g. we did not consider model building but preferred using a rather lean model with only a few covariates.

Combining (4.3), (4.4), (4.5) with (4.2) and making some elementary simplifications, the asserted result (4.1) follows.

A physical model of the same street was produced for the purpose of laboratory experiments, making some geometrical simplifications of complex volumes and extrusions.

We have made some necessary simplifications and applied normalisation procedures designed to correct for data biases and distortions.