Sentence examples for derivations provided from inspiring English sources

We compared our empirical estimates of statistical power in RCTs with the theoretical derivations provided by Schoenfeld [ 11].

In particular, the offered derivations provide for the residual field vector (error) in its incremental and total forms along with an explicit expression for the Jacobian matrix.

These derivations provide practical design insights into the effect of various parameters on the system performance.

Although analytical derivations provide the intuition between these relationships with (35) and (39), we investigate the optimum solution of this problem in details in our computer simulations.

The derivations provide both "sure" patterns that do not need to be verified in an audit trail as well as candidate patterns whose verification needs access to the selected parts of workload history.

Finally, using simulations, we compare the obtained theoretical bounds with the numerical maximization of the SINR and the minimization of the BER to show that our derivations provide a good approximation of the optimal IBO.

However, the derivation provided here is much simpler.

In contrast to other related studies [ 44], spectral derivation provided no improvement.

The present derivation provides solutions for infinite domains of elastic materials under the influence of unit concentrated forces and couples.

Here we present its full derivation, provide more details and examples, include introductions from an animal reservoir and show how the method can be used to provide statistical expectations for new case predictions.

Moreover, this derivation provides the basis for scheduling elective admissions as presented in Section  4.