Sentence examples for basis defined from inspiring English sources

To improve the condition number of the Hessian, we advocate the use of a change of polynomial basis, defined using a Cholesky factorization of the Hessian, that permits solution of problems nearer to the boundary of the realizable set.

Evolved from eigenvoice approach, i-vector approach assumes speaker- and channel-dependent GMM supervector obeys a linear combination of the basis defined by T-Matrix.

It is convenient to express all matter-operators with the help of the basis defined by the eigenstates of the matter Hamiltonian (H_{mathrm{mat}}).

Since the positions of the substructures in the unhashed fingerprints depend on the training set, the method calculate_unhashed_fps allows the computation of unhashed fingerprints for new compounds using a basis defined by the substructures present in a training set.

Since the positions of substructures in the unhashed fingerprint depend on the dataset, the function MorganFPs allows calculation of unhashed fingerprints for new compounds using a basis defined by the substructures present in the training dataset.

= ∑ m = 0 ∞ S 2, q ( m, k ) t m [ m ] q !, where k ∈ N. Next we give the relationship between q-Bernstein basis defined by Phillips [27] and q-Bernoulli polynomials b n, k ( q ; x ) : = [ n k ] q x k ( 1 − x ) q n − k.

Although Darwin understood natural selection on a general basis, defining it as the "preservation of favourable variations, and the rejection of injurious variations" (1859), he did not know how it actually operated because genetics was unknown at the time.

The molecular basis defining the aberrant alternative splicing of Helitron-captured genes is not apparent.

A secondary analysis will be on an "as treated" basis, defining treatment exposure as at least 4 days without interruptions of more than 1 hour.

Besides, it is the first study in which we get insights in how professionals that work with people with dementia on a daily basis define the starting point of palliative care.

In particular, the use of GPS/VERITAS to identify the locations that adolescents visit on a daily basis, defining their geographical context, will provide us with accurate estimates of location in which physical activity takes place.