The phrase "approximation and in particular" is correct and usable in written English.
It can be used when you want to specify a particular aspect or example related to a broader topic of approximation.
Example: "In the study of mathematical models, approximation and in particular the use of linear regression, play a crucial role in data analysis."
Alternatives: "specifically regarding" or "notably in relation to".
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.
The procedure for obtaining a higher order approximation is described, and in particular two criteria for chosing the elliptic function parameter m are discussed.
In this paper we propose a method for the strong imposition of random Dirichlet boundary conditions in the Dynamical Low Rank (DLR) approximation of parabolic PDEs and, in particular, incompressible Navier Stokes equations.
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.
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.
While several approximation schemes has been proposed (and in particular a recent EPTAS, Jansen, 2010 [12]), the current best "direct" algorithm (i.e. an algorithm specifically designed for reaching a given approximation ratio) is still due to Chen (1991) [4] with a 1.382 ratio.
The class is fundamental because it contains several types of operators commonly found in various areas of applied mathematics and in particular in approximation and optimization theory (see [1] for details).
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.
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.
