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The phrase "subject to a given" is correct and usable in written English.
It is typically used in legal, formal, or technical contexts to indicate that something is conditional or dependent on a specific factor or condition. Example: "The contract is subject to a given set of regulations that must be followed by all parties involved."
Exact(33)
We formulate this problem as a maximization of the degree of decentralization, subject to a given H∞-performance.
The CR network throughput optimization schemes aim at maximizing the CR network throughput subject to a given detection probability.
It is used for calculating propagation constants in axial and circumferential directions of the cylindrical shell subject to a given circumferential mode or axial half-wave number.
We consider the problem of minimizing F1 subject to a given F2 level and give an effective formulation for the problem.
The objective is to derive the production rate that minimizes the expected discounted system cost subject to a given risk tolerance level on stockouts.
The objective of the manager is to minimize the maximum expected loss of the portfolio subject to a given consulting budget constraint.
Similar(27)
Elastic structural systems with a finite number of freedoms and subjected to a given loading are considered.
Homogeneous, anisotropic and linearly elastic solids, subjected to a given state of strain (or stress), are considered.
The mechanical impedance is a measure of the ability of a structure to resist motion when subjected to a given force.
This work is aimed at predicting unknown and possible combination of parameters in a naturally convective porous fin subjected to a given temperature requirement.
Here the authors propose to study, in the case of a simple mechanical problem, that of a metal cube subjected to a given pressure, three procedures, which differed in terms of the code and type of topology optimization calculations performed and the level of penalization applied.
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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