Sentence examples for an explicit expression of the from inspiring English sources

In [3], an explicit expression of the Cartan curvature has been computed.

As an alternative, this section derives an explicit expression of the corresponding GCV-criterion of [7].

In addition, an explicit expression of the observer gain is available in a special case.

It is worth to mention that an explicit expression of the limit state function is usually not possible.

In this process we also get an explicit expression of the Poisson kernel for the Dirichlet problem.

Under general cases, it is impossible to obtain an explicit expression of the objective function to be optimized.

At this point in time, we present an explicit expression of this integral.

In the case of the binomial approximations, we have found an explicit expression of σ the standard deviation of S ^ MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacuWGtbWugaqcaaaa@2DEB@.

In the particular case where pattern statistics (overlap counting only) computed through binomial approximations we use the delta-method to give an explicit expression of σ, the standard deviation of a pattern statistic.

Once the pattern and the true parameter π are fixed, the first term (Q) depends only on ℓ and Nobs while the second one only depends on the length n of the sequence used for the parameter estimation (see appendix C for an explicit expression of σ in the particular case of an order 0 Markov model).

This paper derived an explicit expression of Pc under the circular orbit assumption, based on analysis of closest approach distance and Chan's analytical formulae for Pc.