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The phrase "a widely accepted approximation" is correct and usable in written English.
You can use it when referring to a value or concept that is generally recognized as close to the true value or concept by a large number of people or experts.
Example: "In mathematics, pi is often represented as 3.14, which is a widely accepted approximation for practical calculations."
Alternatives: "a commonly accepted estimate" or "a generally recognized approximation".
Exact(1)
The method is based on a widely accepted approximation of the speed of moving reaction front as a ratio of heat capacity of gas to the heat capacity of a catalyst bed as well as concentration and temperature profiles in the steady state.
Similar(59)
For design purposes, ACI has adopted a simplified and widely accepted approximation of δ ns : δ n s = C m δ 1 = 0.6 + 0.4 M 1 M 1 M 2 M 2 1 - P u ϕ k P c ≥ 1.0 (2).
The most widely accepted approximation approach is to assume that the sum of log-normal RVs follows a log-normal distribution.
Similarly, privacy is a widely accepted principle.
Climate change is a widely accepted fact.
industrial levels, a widely accepted international target.
There is not yet a widely accepted definition.
A widely accepted verification method [13] was used.
Steroid injection remains a widely accepted method of treatment.
Recently, employing a dedicated CCC for the distributed CWN becomes a widely accepted assumption.
Lipid rescue (infusion of a lipid emulsion) is a widely accepted treatment for LAST.
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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