The phrase "approximation in which the" is correct and usable in written English.
It can be used in contexts where you are discussing a method or model that provides an estimate or a near value based on certain conditions or parameters.
Example: "The approximation in which the variables are assumed to be independent allows for simpler calculations in statistical analysis."
Alternatives: "estimate in which the" or "model in which the".
Molecular cross sections are calculated by means of a single-scattering independent-atom approximation in which the electron density of a bound atom is approximated by that of the free neutral atom.
The Brooklyn in which Eilis lives and works is the Town Without Garlic, an odorless and textureless approximation in which the comically chewy stage accent that Cohen lends Tony and a few spoken references to the Brooklyn Dodgers sprinkle a bit of grit on the action.
An improved moving least-squares (IMLS) approximation, in which the orthogonal function system with a weight function is used as the basis function, is used to obtain the shape functions.
By analyzing the elastic stiffness of DS polycrystals on the basis of a newly developed inverse Voigt Reuss Hill approximation, in which the detailed crystallographic texture could be taken into account, the elastic stiffness components of the single-crystalline LPSO phases from 300 to 7.5 or 5.5 K were determined.
The inline interaction of two bubbles can be described by a superposition approximation in which the trailing bubble rises at a velocity equal to its terminal velocity plus the wake velocity behind the leading bubble and the leading bubble is unaffected by the trailing bubble.
These conclusions were obtained using a relatively simple approximation in which the photoemitted electron moves with constant velocity.
The merits of two commonly used approximations, in which the transfer is assumed to occur only to the Fermi-level or the Fermi-distribution is approximated by a step function, are discussed and compared with an exact calculation.
In this paper we consider several situations in which Roe's scheme gives incorrect results (or blows up all together) and we propose an alternative flux formula that produces numerical approximations in which the pathological behavior is either eliminated or reduced to computationally acceptable levels.
We also propose a measure to select the optimal approximation candidate set, and (c) an adaptive approximation framework in which the operating points on the C-D curve are embedded in the metadata.
It is known that this requires monotone approximation algorithms, in which the amount of work assigned to an agent does not increase if its bid (claimed cost per unit work) increases.
Taking into account that the thickness of QDs is typically much smaller than their lateral dimension and therefore the electron motion in the first direction is much faster than in-plane motion, one can use the advantage of the adiabatic approximation [13] in which the wave function is presented as a product of two functions: Ψ m ρ, z = f ρ, z Φ m ρ ; m = 0, ± 1, ± 2, …, (3).
