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"trial and error procedure" is correct and usable in written English.
You can use it to describe a process of trial, failure, and eventual success when attempting to solve a problem. For example, "In trying to figure out the problem, he used a trial and error procedure until he finally found a solution."
Exact(27)
This arrangement resulted by trial and error procedure.
Iterative trial and error procedure is used to minimize the sum of square of errors.
However, it is a trial and error procedure and time consuming job.
A trial and error procedure was used to assign a suitable value of calculus radius.
A trial and error procedure was adopted to determine the appropriate k s value.
Choosing this configuration was done based on trial and error procedure to achieve best results.
Similar(33)
We use a trial-and-error procedure to obtain locally optimal values for the parameters.
A trial-and-error procedure was applied to determine the parameters of the investigated isotherms.
This technique avoids the exhaustive traditional trial-and-error procedure for obtaining membership functions (MFs).
Then the result is compared with that of trial-and-error procedure.
Current interpretation techniques are mainly based upon by pressure type-curve matching which is basically a trial-and-error procedure.
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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