Sentence examples for projections associated from inspiring English sources

The other one is for the spectral projections associated to the sub-Laplacian.

Much work has been done with generalized distance functions and the generalized projections associated with them suggested by Bregman [15].

Let, let, and let be the sequence of projections associated with the basis, then it holds that (2.10).

Take (P_{k}) the natural projections associated to the usual basis of (ell_{1}) and take (Q_{n} = I - P_{n}).

We will denote by and, respectively, the sequences of biorthogonal functionals and projections associated with such basis, that is, given the (continuous) functionals verify (2.4).

The separate weak∗-continuity of the triple product of a JBW∗-triple M implies that Peirce projections associated with a tripotent e in M are weak∗-continuous.

Denote by P i the spectral projection associated with F and the spectral set {μ i }.

It achieves dimension reduction by a Petrov Galerkin projection associated with residual minimization; it delivers computational efficiency by a hyper-reduction procedure based on the 'gappy POD' technique.

Note that we can also express μu as μu(P) = Tr(P Pu), where Pu is the one-dimensional projection associated with the unit vector u.

This is due in part to difficulties arising from the fact that Galerkin techniques perform optimal projection associated with residual minimization at the time-continuous level, while LSPG techniques do so at the time-discrete level.

Gleason's theorem can now be invoked to identify the states on A with the density operators on H: to each state ω in ω(AH) there corresponds a unique density operator W such that, for every unit vector x of H, ω(x) = = Tr WPx), Px being the one-dimensional projection associated with x.