Sentence examples for by this projection from inspiring English sources

end{aligned}The following lemma records the basic properties enjoyed by this projection, cf. [2, Lemma 3.2].

The scores obtained by this projection are called factor scores, which are used to understand the nature of variables.

Moreover, by the relation between signal and noise subspace, the corresponding projection matrix of noise subspace is obtained, hence an improved MUSIC algorithm is implemented by this projection matrix.

Note that after computing the projection (27), the constraint | w → | = 1 is precisely guaranteed so that the constraint |∇ϕ| = 1 is indirectly adjusted by this projection technique when evolution Equation 24 for LSF reaches its steady state.

Yes, even the lowly half pipe can become a canvas for luminous animations and depth perception tricks, as evidenced by this projection performance staged by 3DMM, an "architectural lighting" group out of Brazil, in the native countryside of Sao Paulo state.

In every point, the PMT detects a fraction of the scattered light that is integrated by this projection and the PD detects transmitted light that is extenuated by the integration of absorption and scattering within the sample.

By expressing this projection in terms of the modal basis, the number of significant modes in the analysis decreases drastically, and the computational effort is largely reduced.

The solution proceeds in two steps: first, for the homogenous problem, a projective transformation is constructed based on a symplectic matrix and second, the effects of the external loading are taken into account by augmenting this projection.

Thereafter we used the same transformation by using this projection without any further discriminant analysis procedure for depiction of Neurapas® balance.

The projector calibration can be achieved by projecting patterns, however, this projection is then again limited to the resolution of the projector, making precise calibration difficult.

I cross-checked this projection by reviewing the 15 biggest capitalization properties in the S&P 500, which tot up to more than 25% of the index's valuation.