The phrase "approximation in the case" is correct and usable in written English.
It can be used when discussing a specific situation or example where an estimate or approximation is relevant.
Example: "In the case of the budget analysis, we will need to provide an approximation in the case of unforeseen expenses."
Alternatives: "estimate in this instance" or "approximation for this situation".
A Hamaker constant with a value of 6 × 10− 20 J was found to be a good approximation, in the case of SSA calculations.
The property of energy additivity of the contributions of several external loads is shown to be a good approximation in the case of a single structure.
The solution, which can be represented as functions of the location of the new facility, is obtained by analytical resolution of a system of equations in the case of one facility in the market or by polynomial approximation in the case of multiple facilities.
The offline assumption could be a good approximation in the case of predictable processes.
Because of this difference, several authors[5, 6, 8] used the strong-confinement limit as a satisfactory approximation in the case of small quantum dots.
While this treatment is generally a good approximation in the case of phonons, it is valid for the coupling to the photonic systems only in the case of low absorption, i.e., weak coupling or very short absorber length.
Again, to evaluate of the accuracy of the one-term Galerkin approximation in this case, the accuracy of Equation 56 is estimated for the case of non-oscillatory instability (which corresponds to ω = 0) for the situation when the suspension contains no microorganisms (Rb = 0) and no nanoparticles (Rn 0).
For each scattering event, the probability for the scattered photon to reach each pixel of the detector is calculated using well-known physical models (form factor and incoherent scattering function approximations, in the case of Rayleigh and Compton scattering respectively).
It will play an important role in the study of regular approximations in the case that at least one endpoint is in l.p.c.
We refer to [ 19] for further details on the construction of the approximations in the case of gamma distributions and for other distributions as well.
The latter type of methods do not take into account the discreteness of the molecule numbers and are known to provide bad approximations in the case of small populations as considered here [ 53].
