The phrase "approximation is based on" is correct and usable in written English.
You can use it when discussing the foundation or underlying principles of an approximation in various contexts, such as mathematics, science, or statistics.
Example: "The approximation is based on the assumption that the variables are independent of each other."
Alternatives: "the estimate relies on" or "the calculation is founded on".
This approximation is based on the observation that one could use a function g (u) to approximate an asymptotic function g∞ via g ∞ = lim s → 0 g s z : = sg s − 1 z.
For these schemes, we first introduce a B-spline hypervolume to approximate an objective function defined in a design space, where the approximation is based on Latin-hypercube sampling points.
This approximation is based on a Taylor series approach.
This approximation is based on the fact that and in practice.
The proposed approximation is based on the extreme value theory of multivariable functions [24].
The approximation is based on finding small local designs for independent prediction at particular inputs.
The mechanical modeling of the structure and the subsequent finite element approximation are based on the classical equations of motion, as they are derived from Hamilton's principle, in connection with simplified modeling of the piezoelectric sensors and actuators.
The mechanical modeling of the structure and the subsequent finite element approximation are based on Hamilton's principle and classical engineering theory for bending of beams in connection with simplified modeling of piezoelectric sensors and actuators.
Our simple approximation was based on an application [ 18] of a Bernoulli model of HIV transmission which found that the relationship between increased condom usage and HIV risk reduction is essentially linear for most heterosexuals at risk for HIV.
The sample size approximation was based on an inter-rater reliability estimate for the DEMMI of r = 0.87 between two physiotherapist in the sub-acute hospital setting found by others [ 25].
