Sentence examples for a complete basis for from inspiring English sources

It has been proved that this is the shortest possible single axiom that will give a complete basis for PIC with these transformation rules.

The uniformly spaced infinite length sinc functions form a complete basis for the space of band-limited signals.

Moreover, the formulae presented herein, together with those for the individual modes known from the literature, make a complete basis for further computations of the total sound power of the plate's damped and forced vibrations in fluid.

The set of orthonormal column vectors u j (j = 1, ···, NSV) constituting (i.e. ] and forms a complete basis for an arbitrary SV coefficient vector. Hence, it is expanded uniquely as. The scalar coefficients ß j are obtained by. Similarly, a flow coefficient vector m is expanded as, where V i is the orthonormal column vector of dimension NFL constituting V (i.e. and ).

Such wave-based architecture has been facilitated here by using a class of "isodiffracting pulsed beams" (PB) which not only provides simple wave-objects for local interrogation of a particular sub-environment in the global conglomerate, but also provides a complete basis for construction of arbitrary source-excited field in the global environment.

The main focus of the work was to identify all the ORFs that are different in S19 when compared to its virulent relatives, 9 941 and 2308, which provide a complete basis for the attenuation of S19.

A complete basis of homogeneous solutions for the interior and exterior regions, corresponding to all possible Dirichlet boundary values at the interface, are calculated in a preprocessing step.

These potential targets deserve attention in future experimental and epidemiological studies to provide a more complete basis for risk assessment.

A goal is to have these price versus performance discussions early, for example during cooperative prototyping (described by Bødker et al. [ 6]) and thus help in creating a more complete basis for design than what is often produced in paper-only requirement specifications.

An even more economical complete basis for PIC contains the same transformation rules but the sole axiom[(p ⊃ q) ⊃ r] ⊃ [(r ⊃ p) ⊃ (s ⊃ p)].

We considered using the multivariable model as the complete basis for describing our results.