Sentence examples for linear example from inspiring English sources

A simple linear example as an illustration is presented at the end.

Hence, we can illustrate the learning strategy of the SVM through the separable linear example shown in Fig. 1.

In fact, in [37] the authors introduced a simple linear example without time-delay for which a common Lyapunov function does not exist.

The usefulness of this problem formulation is demonstrated by applying it to a linear example and to the nonlinear, highly interactive distillation column model developed by Weischedel and McAvoy (1980).

We have implemented the present method on one linear example with left-end boundary layer and four examples with right-end boundary layer by taking different values of ε.

A scalar linear example is included which adds insight into the key ideas of our approach and allows showing that, for linear systems, our Lyapunov-LS design with unfiltered regressor, presented in the note for unnormalized least-squares, can also be extended to normalized least-squares.

The proposed scheme is demonstrated and discussed with non linear examples.

Our analysis shows, for the first time, how ergodicity cannot be taken for granted in simple linear examples either.

Our exact solution of the two- state protein system shows how ergodicity cannot even be assumed in minimalistic linear examples.

We tested these approaches on static linear examples mainly for the following two reasons: firstly static models are common in science and our methods should therefore aim to be applicable to these kind of problems; secondly the solutions to the corresponding optimization problems are for these static linear examples unique and analytically attainable.

Extensive inspection of how within-square density affected pgr showed that the effects of density were linear (examples in Figures. 2 and 3), so for further analysis we used general linear models (GLMs), with the pgr for the square as the dependent variable.