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The phrase "applying to a given" is not complete and lacks context, making it difficult to assess its correctness in written English.
It could be used in contexts where you are discussing the application of a concept, rule, or principle to a specific case or situation.
Example: "The theory is applying to a given scenario in which the variables are controlled."
Alternatives: "pertaining to a specific" or "relevant to a particular".
Exact(1)
And while our son's school does not make class rankings public, its college planning Web site provides "scattergrams" that graph a student's position amid classmates applying to a given college.
Similar(59)
For a binary classifier applied to a given data set, a curve that plots precision (y axis) versus recall (x axis) for a variety of classification thresholds.
As a consequence, the stress intensity factor which can be applied to a given defect by a self-equilibrating stress field is also limited.
More than one tier may apply to a given situation because each corresponds to a different (sometimes overlapping) time period or set of conditions.
So Bertoni began looking for patterns that would predict customer behavior — specifically, an algorithm that would guess correctly the number of stars a given user would apply to a given movie.
In the experiment, a range of normal stress was applied to a given amount of particles sheared in an annular trough with a range of controlled shear speed.
Reserve capacity is identified by the largest multiplier applied to a given existing demand matrix, that can be allocated to a network without violating the arc capacities.
This research shows that the typical or standard CSBAT (Connection Semantics Based Assembly Tree) can be applied to a given assembly problem.
One doesn't necessarily know how all that extracurricular work will apply to a given piece, but writers work less from a thesis than by association: one feels one's way, just like everybody else.
Such an accelerator is necessarily linear, and the electrostatic field can be applied to a given particle only once (unless, as in the tandem accelerator described below, the charge of the particle undergoes a change in sign).
The central rationale underlying the proposed complexity reduction strategy is straightforward: when a local search operator is applied to a given solution, only a limited part of this solution is modified.
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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