The phrase "an approximation based on" is correct and usable in written English.
You can use it when discussing estimates or calculations that rely on certain data or assumptions.
Example: "The final cost is an approximation based on the initial estimates provided by the contractor."
Alternatives: "a rough estimate derived from" or "a calculation informed by".
By introducing an approximation based on Jacobian elliptic functions we derive an approximate set of two nonlinear integro-differential modulation equations that govern the time evolution of the amplitude and phase of the motion of the attachment.
Recently, Seol and Cheun [4] proposed an approximation based on minimizing the average error.
92, 1494 1502] ANOVA-Type statistic performed best; for responses with negative correlations, in general, an approximation based on the Lawley Hotelling type test performed best.
To estimate the effective core radius of the structure with square shaped air-holes an approximation based on the air-filling fraction was used.
For positively correlated responses, an approximation based on [Brunner, E., Dette, H., Munk, A., 1997. Box-type approximations in nonparametric factorial designs. J. Amer. Statist. Assoc.
For this reason, an approximation based on replacing vehicle routes by spanning trees is proposed, and its capability for providing good quality solutions is assessed in a series of computational experiments.
We approximated the space suit mass based on the suit type (A7L, used for Apollo 11 14, or the A7LB, the latter used for the Apollo 15 17 missions) and by assuming a constant consumables usage rate during each EVA (Table 2), an accurate approximation based on subsequent analysis of metabolic rates (Figure 1).
Finally, a simplified approximation based on a detailed parametric investigations is proposed for the evaluation of maximum liquefaction depth (zL) in engineering application.
In this paper we define a system approximation based on a 2nd-order Volterra series and obtain its statistical response in terms of cumulants.
To solve this problem, WISCOD uses a unique large simulation distribution for each site/organism (N = 10, 000) and a theoretical approximation based on a normal distribution (for more details, see Supplementary data, Section 2) to input P values for the coding region.
Given an arbitrary segment of a clothoid over a finite interval, we propose a novel method for generating a polynomial approximation, based on employing s-power series, the two-point analogue of Taylor expansions.
