The phrase "are approximated on" is not correct in standard written English.
It may be intended to convey that something is estimated or calculated based on certain criteria, but the preposition "on" is not typically used in this context.
Example: "The results are approximated based on the available data."
Alternatives: "are estimated using" or "are calculated from".
Material strength changes are approximated on the basis of a collected test database, and the design strengths of RC beams are evaluated considering these material strength changes.
Usually, these models consider decisions in the booking period on a very detailed level, whereas the resulting routing costs in the service period are approximated on a rather rough level.
Spatial variation of all physical fields (or of their Laplace transforms) at discrete time instants are approximated on the local boundary and in the interior of the sub-domain by means of the moving least-squares (MLS) method.
The displacements are approximated in the domain of the element using local solutions of the wave equation, the Neumann conditions are enforced directly and the surface forces are approximated on the Dirichlet and inter-element boundaries of the finite element mesh.
Under the latter scenario, CVE reduction with the non-rosuvastatin comparators are approximated on the basis of their effect relative to rosuvastatin 20 mg in reducing the ratio of total serum cholesterol to HDL cholesterol because the utility of this measure is established in the literature.
We calculate the Gini coefficient, G using the approximation of the Lorenz curve, where it is approximated on each interval as a line between consecutive points.
If, for instance, people are designing a bridge, the equations that model its sturdiness are so complicated that the solution can only be approximated on a computer.
The guards can be approximated on the basis of measurements performed by sensory attributes rather than defined exactly.
Often, they can only be approximated on the guitar as well, but Mr. Sollscher had a not very secret weapon: an 11-string guitar, with an extended bass range.
Today, this familiarity must be approximated on a grander scale in a global online information-based marketplace.
We first derived separately the primary and secondary electron spectra by solving an electron transport equation that was approximated on the basis of the two-stream method (cf. Solomon et al. 1988; Banks and Nagy 1970; Nagy and Banks 1970).
