The procedure of finding the desired approximation generator, and the usage of CFVP for that purpose are explained in details in Sect.
Another approach to numerical computation of Lyapunov quantities which uses the passage to the polar coordinates and the procedure of sequential construction of solution approximations is related with the obtaining of approximations of system solution, see [2], they also could be seen in [6, 7].
The procedure of design calculation is in reality straightforward without requirements of iteration, successive approximation and computer programme.
It helped to demonstrate that the procedure is an approximation of a vaginal delivery that can partially restore newborns' microbiomes, he said.
In the analysis procedure, the approximation of the response, y, was determined using a quadratic polynomial regression model as a function of the pyrolysis parameters using Eq. 1, which has linear and quadratic terms in addition to an interaction term, where b is the regression coefficient, χ is the independent parameter, and e is the experimental error.
During the first rounds, the procedure solves the approximation problem of Eq. 2 using only those mutation pairs that best fit the multiplicative model, and then gradually extends the subset to also include pairs with larger residual errors (see Methods for details).
We use the Chapman Enskog solution procedure of successive approximations, where the single-particle velocity distribution is assumed to be nearly Maxwellian both translationally and rotationally, as assumed by McCoy et al. (1966).
The usual procedure involves approximation of the torn ends of the muscle with absorbable suture material.
Wavelet decomposition algorithm is the down-sampling procedure that the length of approximation signal and detail signal would halve as the decomposition level increasing.
An essential part of the solution procedure is the approximation of the joint-confidence region.
