The phrase "approximation in particular" is correct and usable in written English.
It can be used when specifying a particular instance or type of approximation in a discussion or analysis.
Example: "The results of the experiment showed an approximation in particular that was more accurate than previous models."
Alternatives: "specific approximation" or "particular estimate".
For instance, in case of high-motion sequences, the SI approximation module could be configured using a less strict, that is, lower, threshold T H. Skipping a lower number of blocks during coarse motion estimation would increase the accuracy of the resulting SI approximation, in particular when the motion content is high.
While this hints at the limited validity of the diffusion approximation in particular for long lag times and short photon paths, it is unlikely to be fully responsible for the linear lag time scaling of 〈Δ φ〉 at the relatively short τ observed under constant flow conditions.
Nevertheless, the model we proposed was based on some rough approximations; in particular, the checking process of the results was only crudely modelled.
Simulations also study the validity of common approximations, in particular, the linear solution of the Poisson Boltzmann equation to calculate potential distributions when the surface potential is relatively high or the electrostatic potential in the center of the channel is zero.
On the other hand, we provide approximation algorithms, in particular an O logn -approximation fO logn -approximation networks.
This is often a reasonable approximation experimentally, in particular when there is nothing in the synthesis method that affects the crystalline symmetry of the structure.
Sparse approximation (and in particular the least-squares CS (LS CS) algorithm[15]) is then employed to identify a concise set of substructures to represent the cost function of interest.
The first work presented in these early somewhat domain-specific contexts were soon extended to (i) general finite-dimensional systems as well as certain classes of ODEs/PDEs [9 12], and (ii) a variety of different reduced basis approximation spaces - in particular Taylor and Lagrange and more recently Hermite expansions.
The three global MINLP methods achieve the solution in substantially less computation time than the outer approximation method and in particular MITS showed the best performance for this example.
Still, Norman Christ, a theorist at Columbia University, says that Davies and colleagues make certain assumptions and approximations in their particular calculations that need to be tested.
The procedure for obtaining a higher order approximation is described, and in particular two criteria for chosing the elliptic function parameter m are discussed.
