Sentence examples for be applied to basis from inspiring English sources

Also, the multipole expansion can be applied to basis sets for which the FFT is inapplicable even on the canonical grid including Legendre polynomials, Hermite and Laguerre functions, spherical harmonics, and slnc functions.

Although a major focus concerns the quantum chemistry methods of H. Nakatsuji which has yielded successful and very accurate eigensolutions for small atoms and molecules, the tools are general and may be applied to any basis set calculation with a variational principle applied to its linear and non-linear parameters.

Having the identical geometry, the same reconstruction algorithm to reconstruct the single-energy CT images can therefore be applied to the first basis material projection data to obtain the corresponding basis material density image.

Similar study design can be applied to dissect the genetic basis of other complex human traits.

It can also be applied to other mapped interpolatory basis functions.

For each sample point a common technique for model order reduction can be applied to compute a local basis.

The proposed method relies on an intuitive criterion of optimal representation which can be applied to any overcomplete signal basis, allowing for many signal processing applications.

To this end, the so-called Buchberger's algorithm [ 25] can be applied to compute the Gröbner basis [ 26].

They will also need to indicate which assets the free basis (that is, the limited $1.3 million /$3 millionstep-up in basis) will be applied to, and in each case how much the basis will get bumped up.

When it comes to pet meds, Wismer says it's not uncommon for a human medication to be applied to animals purely on the basis of anecdotal evidence.

The best line in the entire run of Friends, which can be applied to life on a daily basis, sees Chandler mocking Joey for having two lovers: "My wallet's too small for my 50s and my diamond shoes are too tight," he cracks.