Sentence examples for basis is defined from inspiring English sources

Second, the representation of the transforms is also generalized to rotations of the discrete basis set Pnm θi. A discrete function basis is defined that provides an alternative to Pnm θi. On a grid with N latitudes, the new basis requires O N2) memory compared to the usual O N3).

This basis is defined naturally through local basis (on each sub-domain) and therefore relative to the discretization.

This basis is defined by the keys of the substructure dictionary calculated for the molecules from the training set.

Longevity on a lactation basis was defined from one calving to the next instead of from the first calving to culling.

1,212 of the 5,715 genes showed significant sex-differences in expression at 8 wk, and on that basis were defined as adult sex-specific (adult sex-biased) genes.

In the instructions for completing the questions, 'regular basis' was defined as 'the assumption of a medication for 4 or more times per week or for more than two weeks'.

They said surveillance was needed to monitor "domestic extremists" – a term that has no legal basis but is defined by police as activists who are determined to break the law to further their political aims.

The geodetic assumptions for the measurement of the neutrino velocity by applying the standard time of the Global Positioning System (GPS) and the length of the basis, which is defined by the geodetic measurements, are presented.

The diagonal matrix representing the th basis function is defined as, and the Toeplitz matrix is defined as.

where the Bernstein basis function is defined by p n, k ( x ) = n k x k ( 1 − x ) n − k Open image in new window.

A new basis function is defined as where represents any normalized pulse shape satisfying the nonnegativity constraint, with in the bit period and otherwise, and is the electrical energy.