Sentence examples for with this decomposition from inspiring English sources

With this decomposition, it is possible to describe the characteristics of the individual interference terms by means of fading-parameters that are real-valued scalar processes.

With this decomposition, a decoupled system with each equation of the decoupled system containing only a scalar variable is formed and solved.

With this decomposition, the acoustic field is located by the arc of a circle in plots of radial against streamwise wavenumber for discrete frequencies.

end{aligned}In correspondence with this decomposition of the set of indices we define a splitting in the v-variables in (5.14) as begin{aligned} v=(hat{v}, {tilde{v}, bar{v}}).

With respect to this decomposition, maps isomorphically into and allows to define an almost complex structure on as the pull-back of on.

Then, the homogeneous Randers space (M = G/H,F) with the origin p = {H} and with an Ad(H -invariant decomposition g = m + H -invariant in new windecompositionlly reductive with respect to this decomposition if and only if for any vector X ∈ m ∖ { 0 } Open image in new window, the curve γ(t) = exptX(p) is a geodesic of (G/H,F).

With the aid of this decomposition, it is possible to reduce the memory consumption as well as the computational costs significantly.

We illustrate this decomposition with several examples below.

This decomposition with the reference being the entire GPs population isolated two terms: one for the male advantage relative to the reference and another for the female disadvantage.

Note that with this finer decomposition there are three other networks showing correlation (although less than 0.15).

The edge label (l) in a game tree indicates decomposition decisions and is associated with the probability p that this decomposition decisions are selected in the randomized algorithm.