Sentence examples for the given basis from inspiring English sources

end{aligned}For the given basis function (varphi), there arises a function space begin{aligned} {mathcal {F}}_{varphi }=left{ g:|g|_{varphi }^2=int _{{mathbb {R}}^d} frac{|hat{g}(theta )|^2}{hat{varphi }(theta )} {rm d}theta <infty right}, end{aligned}which is called the "native" space for (varphi).

One of the basic goals of Fourier analysis is to decompose a function into a (possibly infinite) linear combination of given basis functions: the associated Fourier series.

This will also make the issue official and on the record, giving basis to future legal action (whether taken by you or someone else).

Dispersion simulations are a particular important part of these studies as they both define the size of the clouds and give basis for detailed ignition probability modeling.

"This patent is based on the discovery of a new gene through sequencing that confirmed the proposed utilities and gives basis for the claims".

The country planned activities also give basis for the measurement of outcomes Typically, the activities undertaken during the week include immunization (catch up campaigns, periodic intensified routine immunization).

More problematic, and yet to be understood fully, is the strong "remain" message from Scotland, giving basis to the possibility of a split from the U.K. at a later point.

This correlation gave basis that the implied molecular variables can become trackers for the calculation of TBARS inhibitory concentrations in similar systems.

Some recommended options - After considering the above factors, you can choose one of the given options on the basis of their usage percentage: a. Internet Explorer- 57.96% b.

We construct (11) only on the basis of the given scattering data.

The approach gave the basis for discussion of the main aspects of study design and conduct, and provided a decision making tool which can be applied to many other studies.