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"applied to the domain of" is a grammatically correct phrase that is commonly used in written English.
It is typically used when discussing a concept or idea that is being applied or related to a specific field or subject area. Example: "The theories of quantum mechanics can be applied to the domain of particle physics to better understand the behavior of subatomic particles."
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When quantum rules are applied to the domain of creatures and things, the result is nonsense.
The idea of affordance, borrowed from perceptual psychology, is applied to the domain of architecture.
The system has been developed in conjunction with practising designers and applied to the domain of beam/slab bridges.
Many works have shown that this technique can also be applied to the domain of numerical simulation.
In this paper, the methodology of agile software design was applied to the domain of ecological models.
Scholarly metrics should be broadly understood as measurement constructs applied to the domain of scholarly/research (broadly, any form of rigorous enquiry), outputs, actors, impacts (i.e. broader consequences), and the relationships among them.
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Socio-technical systems thinking has predominantly been applied to the domains of new technology and work design over the past 60 years.
This paper will discuss a theory of adaptive planning as it applies to the domain of common-sense planning.
What will happen in an economy is affected very deeply by widely-held beliefs about what will happen, to such a degree that philosophical notions of objective reality do not smoothly apply to the domain of economics.
This also applies to the domain of teacher education.
His criticism that Croce is simply applying to the domain of aesthetics ideas drawn from a preconceived system of philosophy, seems unfair, since he does this to some extent himself.
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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