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The phrase "a universal criterion for" is correct and usable in written English.
It can be used when discussing a standard or benchmark that applies broadly across different contexts or situations.
Example: "The researchers proposed a universal criterion for evaluating the effectiveness of various educational programs."
Alternatives: "a global standard for" or "a common benchmark for".
Exact(3)
Applicants' undergraduate performance is critically important and serves as a universal criterion for every law school applicant.
The standardized KSt parameter still seems to be widely used as a universal criterion for ranking explosion violence to be expected from various dusts in given industrial situations.
A universal criterion for selecting model's form does not exist.
Similar(57)
The key to trace the complicated evolution process of polyploid complex lies on a universal criterion.
However, there is not an universal criterion to identify the best performance measure.
However, as algorithmic improvements and computer performance have erased purely technical deficiencies in older approaches, it has become clear that there is no one universal criterion for the 'optimal' structural alignment.
Because of a lack of universal criteria for defining MSCs, a panel looking at mRNA for surface markers was employed to exclude other cell types, and thereby identify them.
This paper tackles the digital-design problem from a practical viewpoint, and derives universal criteria for assessing whether, and how much, quantum technologies can improve over conventional methods: the advantage is expressed in terms of computing time required to attain optimal design.
Given the lack of universal criteria for defining MSCs, a standard panel of surface markers is employed to define MSCs for basic research and clinical studies.
There are no accepted and universal criteria for vitreoretinal surgeons of when to use an intraocular tamponade in myopic foveoschisis.
There are no universal criteria for the assessment of clubfoot.
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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