Sentence examples for terms of norm from inspiring English sources

Using the same methods, and by Lemmas 2.7 and 2.8, we can estimate Lipschitz norm and BMO norm of Green's operator in terms of norm.

Tables 4 and 5 report the results for the IVC image database in terms of norm of residuals and correlation coefficient, respectively.

The variable N it-1 captures of the norm related to institutional quality that could be transmitted by its migrants abroad (the so called Diaspora externality in terms of norm).

The weakness of the coupling dynamics in terms of norm among the analog and digital substates of the whole dynamic system guarantees the total stability provided that the corresponding uncoupled nominal subsystems are both exponentially stable.

For the images in the LIVE database our metric outperforms the considered state-of-the-art RR metrics in all the considered scenarios, except for the case of WN, where the metric [15] performs better at the expense of a higher complexity, and the case of JPEG2000 where the benchmark RR metric [4], based on the wavelet transform, provides a better performance in terms of norm of residuals.

Morality refers to the expression of this aim in terms of norms that are regarded as somehow obligatory.

In general, an account of assertion in terms of norms is an account that invokes the existence, or the being in force, of norms that uniquely govern assertions.

As to our knowledge, similar unimprovable estimates for solutions of (1 - 2) in terms of norms T +, T − are yet unknown.

As we shall see, later MacFarlane restates the idea in terms of norms of assertion, but then too, the idea of retraction of an assertion is central.

A summary of the results for the LIVE image database [19] in terms of norms of residuals is reported in Table 1.

We also get sharp estimates for quasicommutators f(A1,…,An)R−Rf(B1,…,Bn) in terms of norms of AjR−RBj, 1⩽j⩽n, for a bounded linear operator R.