Sentence examples for onto a basis from inspiring English sources

The local environment of each atom is characterized by a set of bispectrum components of the local neighbor density projected onto a basis of hyperspherical harmonics in four dimensions.

Polynomial chaos expansions (PCE) have proven a powerful tool for developing meta-models in a wide range of applications; the key idea thereof is to expand the model response onto a basis made of multivariate polynomials obtained as tensor products of appropriate univariate polynomials.

Starting with a large dimension dynamical system, which represents a projection of a set of coupled partial differential equations onto a basis function, we discuss the relative effectiveness of the time evolution approach, the test function approach, and the direct method.

The technique used herein is global and consists in expanding the displacement onto a basis of (known) functions (15).

The FFTLog algorithm can be seen as a way to decompose the linear power spectrum onto a basis of complex power-law functions.

However, recently such parasitic array systems have been effectively used in MIMO systems simultaneously transmitting multiple bit streams over the air, through the decomposition of their instantaneous reconfigurable patterns onto a basis of orthogonal functions.

The surprising result of CS is that a length-N signal that is K-sparse in some basis can be recovered exactly/approximately from a nonadaptive linear projection of the signal onto a random basis.

The orthogonal projection of the data onto a finite basis is typically approached by the inversion of a Gram matrix involving the inner products of the basis functions.

Could a large publisher like Activision decide to take the next Call of Duty onto a crowdfunding basis as a way to fund its production?

Moreover, because of the complexity of the optical chain, it is not possible to project the distortions found onto a polynomial basis as generally performed [6, 17].

In other words, the Fourier representation of the signal, which includes the Gibbs oscillations, is re-projected onto a polynomial basis, which is Gegenbauer polynomials in the case of Fourier series.