Sentence examples for Final expressions from inspiring English sources

Final expressions are given for continuous beams and bridge frames, providing exact member-end-moments that match results from the stiffness method when shear deformations are included in the analysis.

Could you comment more on how the method of death influenced the final expressions of the prisoners?

The final expressions do not depend on free parameters.

Unfortunately, the exponential terms in the final expressions render a closed-from solution intractable.

In Section 4, we plug the JPDF in (10) and (11) and present the final expressions.

a We are skipping analytical details here and writing the final expressions to avoid repetition.

That is, they are exemplifications of the bodhisattva exercise of upāya or responsive virtuosity, not final expressions of eternally or universally valid insights.

The proof of the lemma follows by adding the final expressions from (46), (49) and (50) observing that the outcome is.

We are using finite integral form of Gaussian Q-function and the unified MGF-based approach to reach the final expressions.

To summarize, the final expressions of the average BERs of the proposed adaptive relaying scheme for scenario 1 under i.n.d. and i.i.d.i.d

In addition to that, to arrive at the final expressions (14) and (15), we exploited the well known change of base formula.