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The phrase "an initial approximation for" is correct and usable in written English.
It can be used when discussing a preliminary estimate or calculation that serves as a starting point for further analysis or refinement.
Example: "In our research, we used an initial approximation for the model parameters to gauge the system's behavior before refining our estimates."
Alternatives: "a preliminary estimate for" or "a first approximation for".
Exact(3)
We made an initial approximation for H3K4me1, the most abundant of modifications tested in cChIP-seq, and applied it to all modifications.
The non-linear eigenvalue problem can now be solved iteratively, by using an initial approximation for λ to build S λ, then solve the eigenvalue problem by suitable means and use the resulting eigenvalue as a new approximation for λ.
An initial approximation for the eigenvalue is obtained from a fast second order matrix method.
Similar(56)
In fact, if we start with a zero initial approximation for the solution, the package produces an accurate approximate solution of the problem.
Fiber microdissection techniques in post- mortem brains allow for an initial approximation to the complex architecture of the fiber tract systems closely related to the human claustrum.
However, considering that mean life expectancy at age 65 in the United Kingdom is now more 17 years for men and 20 years for women, this may be a good initial approximation for patients in industrialized societies with routine access to medical care.
Nevertheless, as an initial approximation, this study assumes equilibrium conditions for TB transmission, with an average number of reported TB cases of 2348.25 cases per year (Table 2).
First, we choose an initial approximation x0 ∈ X.
Inspecting the function associated with SSF allows, in an initial approximation, to postulate on the functional uniqueness of a species.
An appropriate initial approximation for finding in this case is (5.10).
which provides the initial approximation for the solution of (3.5).
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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