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The phrase "background under which" is correct and usable in written English.
It can be used to describe the context or circumstances surrounding a particular situation or event.
Example: "The background under which the decision was made remains unclear to many stakeholders."
Alternatives: "context in which" or "framework within which".
Exact(1)
A brief discussion of the transition in childrearing in modern China is presented in order to help readers understand the background under which the contemporary intergenerational parenting coalition has formed.
Similar(58)
This "supreme principle of pure reason" provides the background assumption under which the metaphysician proceeds.
Having found significant network patterns using functional enrichment and conservation criteria, it may be possible to use reverse-engineering techniques to find a correct background model under which over-represented patterns would represent significant modules.
We repeated the same measurements in 30 day old males and 50 day old females, representing equivalent time points in normal male and female lifespan in the DAH background, but under which conditions more than 50% of flies are still alive, thus avoiding the selection of a sub-population.
Background: The framework under which UNICEF funded this programme included child rights, child justice and child protection outcomes, which would cover children in conflict with the law benefitting from diversionary and community based programmes, and out-of-school children benefitting from programmes to rehabilitate and reintegrate them into the formal school system.
Just how swiftly a trial would be held is uncertain, and much would depend on the defense strategy, which almost certainly would involve an investigation into the man's background and the circumstances under which he became involved in the hostage-taking.
With the above as background, next consider conditions under which HRX holds, and conditions for HRX to hold for selected distributions.
The preceding attempts to distinguish the content-determining causes from non-content-determining causes focused on the background or boundary conditions under which the distinct types of causes may be thought to act.
Additional information about the mutant, such as strain background, allele name, conditions under which the phenotype is observed, or the identity of relevant chemicals, is captured in separate fields.
It has been shown, however, that ω is a poor indicator of the action of adaptive evolution due to the fact that signals of adaptive evolution may be swamped in the background of purifying selection under which the protein has evolved most over its evolutionary time [ 44].
Given their backgrounds and the conditions under which they have to work as students, Mr. Karnik thinks this is a showing to be respected.
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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