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Discover LudwigThe phrase "approximation is given in" is correct and usable in written English.
It can be used when referring to a specific context where an approximation is provided, such as in mathematical or scientific discussions.
Example: "The approximation is given in the following equation, which simplifies the calculations for our analysis."
Alternatives: "the approximation is presented in" or "the approximation is stated in".
Exact(2)
The approximation is based on a model truncation approach and a condition for the existence of such an approximation is given in terms of the feasibility of a set of linear matrix inequalities.
Further discussion of the level-2 approximation is given in Appendices 2 and 3 where it is noted that the level-2 approximation is comparable in accuracy to the pseudomomentum (or wave-activity) flux used in previous studies (Randel and Williamson 1990; Brunet and Haynes 1996; Fukutomi and Yasunari 2002; Wakata and Kitaya 2002; Kawatani et al. 2010).
Similar(58)
Further details on this approximation are given in Appendix A.1 Loglinear approximation of residual BER curves.
The analogous result for a trigonometric approximation was given in [2].
Some applications of the fixed point theorems to best simultaneous approximation are given in [130 136].
Based on the Fefferman's idea, the iteration formula of the approximation was given in more detail by Graham in [7].
Thus, for sufficiently small sampling intervals Δ t i the likelihood function can be approximated by a product of the form (4) where Φ(x; μ, Σ) denotes the bivariate normal density function with mean vector μ and variance matrix Σ. Justifications for this approximation are given in Kloeden and Platen (1999).
A survey of fitness approximations is given in [ 26].
An approximation of received signal r is given in (46).
Some approximations are given in literature, but no test results can be used to check the reliability of a solution.
For the CIR model, a quasi-analytical formula expressing the American option price as the sum of the corresponding European option price and an early exercise premium was derived by Chesney, Elliott and Gibson [9] but no price approximations were given in their paper since this formula is not very easy to compute.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com