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The phrase "a criterion for determining" is correct and usable in written English.
It can be used when discussing a standard or principle used to make a judgment or decision about something.
Example: "The researchers established a criterion for determining the effectiveness of the new treatment."
Alternatives: "a standard for assessing" or "a measure for evaluating".
Exact(19)
This method depends on the existence of a criterion for determining whether a root exists within a given volume.
A discrete distribution is formulated for each case and a criterion for determining the interaction between the spectral components of the signal is also given.
We present a criterion for determining the period and amplitude of the boundary condition in which the damping of the water table movement is negligible.
This reversed order in carbon isotope compositions is commonly thought to be unique to abiogenic gases, thus it can be a criterion for determining their origins.
For example, in 1977, Maskin developed a criterion for determining just when it's possible to find a set of rules that will guide self-interested participants to the desired end.
Note that this is not an attempt to use the biological species concept as a criterion for determining species status (see Mayr 1982), but rather a statement about origin of species.
Similar(41)
He protested that it was unacceptable to make religion a criteria for determining whether a person was fit for public office, no matter what the task.
The results indicate that the Biot number alone cannot be used as a criteria for determining whether a lumped-capacitance model can be accurately employed.
The effects of these variables on bed porosity and the liquid minimum fluidization velocity were determined and a correlation has been proposed as a criteria for determining flow regime transitions between the dispersed and coalesced bubble flow regimes.
They even maintain that it would be unfair to a pupil at, say, Westminster or Winchester with A*AA to refuse him/her a place, in favour of a pupil at Ms Cadwalladr's Radyr comp with AAA, as though a few marks in a single subject were a sufficient criterion for determining a young person's life chances.
Participants also pointed out that the ability to increase local palliative care awareness would likely be a useful criterion for determining an appropriate hub location, the reason given that such awareness could be used as leverage for additional resources: " Raise the awareness of palliative care, and in raising that awareness, increase the availability".
More suggestions(16)
a basis for determining
a benchmark for determining
a criterion for establishing
a guideline for determining
a test for determining
a criterion for calculating
a standard for determining
a threshold for determining
a criterion for identify
a criteria for determining
a toolkit for determining
a technique for determining
a result for determining
a reference for determining
a procedure for determining
a strategy for determining
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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