Sentence examples for and the approximation to from inspiring English sources

In Section 2, we describe the system model and the approximation to the complete channel model.

An analytical expression of the stiffness of the MS-NS is derived by using the magnetic charge model, and the approximation to the exact analytical expression is sought.

Observe that (45) is satisfied in the particular case when k 4 = 0, and the approximation to the substrate function at the point ( x m, y n ) and time t k is non-negative.

This last inequality holds in particular when k 4 ′ = 0, and the approximation to the substrate function at the point ( x m, y n ) and time t k is non-negative.

The main advantages of this method are that no additional steps are required to deal with the assumption of independence, and the approximation to the likelihood function is improved.

Therefore, it is possible to justify both reconstructed pedigrees and the approximation to true relatedness, and it is important to assess how well molecular and pedigree assessments of relatedness correspond to one another.

In this regard, we follow Pistorius and Mijatovic (2011) who show how to approximate a Lé vy process by a continuous time finite state Markov chain and use the approximation to price barrier options.

He was the author of a number of papers and memoirs on the approximation to functions of very large numbers, discontinuous functions, dynamics, and other mathematical subjects.

In their work [5], Bernardi and Maday extended the approximation to the spectral method.

In this section, the relevant background is provided to power flow analysis and dynamic programming, and the approximations to their solutions on which the distributed problem and solution of the paper are built.

To determinate the local stability of an equilibrium, in DDE-BIFTOOL [3] a linear multi-step method is applied to the variational equation and the approximations to the rightmost (stability determining) characteristic roots are computed.