Sentence examples for projection of the solution from inspiring English sources

Theblue curve is the projection of the solution shown in Figure 5Aonto the ( m 2, m 3 ) phase plane.

Under mild restrictions on the geometry of the scales forced, we show that any finite-dimensional projection of the solution possesses a smooth, strictly positive density with respect to Lebesgue measure.

For example, among the most effective numerical technique is the projection method and its variant forms; however, the projection type techniques cannot be extended for constructing iterative algorithms for mixed variational-like inequalities, since it is not possible to find the projection of the solution.

We can write this as an equation in the whole L 2 ( M ) by adding P g f to both sides above to get ( I + K g ) f = ( Q g N g + P g ) f. (101)Then the solenoidal projection of the solution of (101) solves (100).

The pictures in Figs. 1 and 3 have been generated by a projection of the solution on a higher resolution brain mesh of 13498 surface nodes mesh for improved visualisation.

In particular, a Lie algebraic criterion is presented that implies that all finite-dimensional projections of the solution define random variables which admit a density.

It is shown that under weak assumptions on the coefficients (lipschitz regularity and partial ellipticity) the laws of some projections of the solution are absolutely continuous with respect to the Lebesgue measure.

Fig. 2 The projections of the solution shown in Figure 1 ontothe phase planes corresponding to the three cells.

Also shown in Fig. 14A and B are the projections of the solution trajectory (black) and (mathscr {M}_{ss}) (red).

Under the alternative rescaling to a (2F, 3SS) system, the projections of the solution trajectory are as shown in Fig. 16C and D. This system has the same critical manifold (mathscr {M}_{s}) as the original system.

In the (4F, 1SS) rescaling, a different type of trajectory lacking large v and (ca_{i}) spikes is observed (see Fig. 16A and B for different projections of the solution).