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The phrase "a case is given" is correct and usable in written English.
It can be used in contexts where you are discussing a situation or example that has been presented or provided for consideration or analysis.
Example: "In this study, a case is given to illustrate the impact of climate change on local ecosystems."
Alternatives: "a case is presented" or "a case is provided."
Exact(2)
Trent described the school's sexual assault investigations as "very thorough" and said that each party in a case is given the option to appeal the final decision.
The concentration of PPi in such a case is given by the balance of its production rate by the PPDK0 auto-kinase reaction, F1 ATP,Pi,PPi), and its degradation at rate α (9) d PPi ∕ dt = F 1 - α PPi Solving this results in a steady-state concentration of PPi that is proportional to the production rate from the auto-kinase reaction (F1), [PPi] = F1/α.
Similar(57)
A correct diagnosis for a case was given a score of 1 and summed to a sumscore ranging from 0 to 12 for each participant.
A verification example comparing the computational results with an analytical solution of a benchmark case is given.
A particular case is given by the interaction between a vibrating structure and a reservoir, with the latter conveniently simplified to an acoustic model.
A creative design software system of wheel modelling is developed and a design case is given to illustrate the feasibility and practicality of the proposed methodology.
Furthermore, a numerical case is given to illustrate the feasibility and availability of the novel system.
A special case is given with crossbar block ramps, where the upstream and downstream level difference is reduced by a series of basins.
A real case is given to clarify the proposed method.
A sample case is given in Figure 9 for angry and bored modes.
Secondly, a specific case is given to show how to choose the optimal intervals by maximizing the objective functions.
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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