"above approximation" is correct and usable in written English.
It is typically used to refer to an approximation that has been improved or that is more than adequate for the purpose. For example, you could say, "The above approximation should be sufficient for our purposes."
Thus the above approximation of function is not suitable.
Applying the above approximation, we first rewrite (31) as (38).
Now, we present an explanation for the above approximation.
Clearly, an oscillation occurs for (|x| < 3), as predicted by the above approximation.
However, as the results in [32] show, the above approximation may be very inaccurate.
Clearly, the oscillations set in for (|x| > 6), as predicted by the above approximation.
In Section 5, we investigate the ability of the above approximations to represent client RC distributions.
Substituting the above approximations (3.36a) and (3.36b) into (3.12), the order of method (3.12) is retained, and hence we obtain the required numerical method of (O k^{2} + k^{2}h^{2} + h^{4})) based on spline in compression approximations (see [37 45]) for differential equation (1.1).
Based on the above approximations, Equation (8) yields an estimated buffer size of L = 2 and L = 3 frames for the capsule (t F = 500 ms) and the conventional endoscopic (t F = 33.33 ms) sequences, respectively, thus confirming the applicability of the proposed scheme.
With the above approximations, these wave functions do not depend on Qt, which in the vibrationally nonadiabatic limit determines only the shift of one potential well with respect to the other one.
In this case, with the above approximations, we see that (34) R ∗ = R tot k xr X ∗ k − r Y ∗ = Y tot k ry < R ∗ > k − y X ∗ = X tot k sx S k yx Y ∗ + k − x Thus the steady state emerges as the solution of the equation (35) R ∗ = α S 1 + β < R ∗ > with α and β defined exactly as above.
