Sentence examples for using the derivation given from inspiring English sources

Using the derivation given in (1.3), we have lim_{lambdarightarrow0} beta_{n}(xvert lambda) = B_{n}(x quad ( n geq0).

We constructed the final model using the derivation cohort.

The derivations given here are exact in the limit of large network size.

The full calculation using spherical geometry (derivation) gives the angle from due west on the solstice as arcsin sin(23.5)/cos(L)).

Parametric programming is used for the controller derivation giving rise to a closed-form controller structure and removing the need for solving an optimization problem on-line.

Parametric programming is used for the controller derivation giving rise to an explicit controller structure that is thus readily incorporated in the design optimization.

The derivation by Legarra et al. [ 11] uses the identity given by equation (7), which was also used here to develop the MEM for single-step Bayesian regression.

Besides the traditional argumentation for the use of IVs, the primal-dual derivation gives an interesting other advantage, namely that the complexity of the system to be solved is expressed in the number of instruments, rather than in the number of samples as typically the case for SVM and LS-SVM formulations.

The derivation is given in the Appendix 1, and can also be found in Habier et al. [ 14] using a different approach.

An independent derivation of this limiting distribution is given, using the Chernoff Savage approach.

Again, details of the derivation are given in the Appendix.