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The phrase "apply this framework for" is correct and usable in written English.
You can use it when discussing the implementation or utilization of a specific framework in a particular context or situation.
Example: "In order to improve our project outcomes, we need to apply this framework for effective team collaboration."
Alternatives: "utilize this framework for" or "implement this framework for".
Exact(1)
We apply this framework for spending adjustment to the National Inpatient Survey data in the United States for years 1996-2012 to generate comorbidity-adjusted health care spending estimates for 154 causes of illness by age and sex.
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The idea of applying this framework for cellular networks appeared in the late 1990s [4, 80, 81].
Applying this framework for a comparative analysis of 5 different land subdivision practices – each relying on a different land-related act – we conclude that the degree of regulation and regularization is perhaps not so much a solution for urban land tenure problems but more of a problem in itself.
In applying this framework for our analysis, we found that the dimensions of access are not discrete, and in some instances it was difficult to clearly align ICDP-related activities with specific dimensions.
We apply this framework to a simulator for the shallow water equations in a channel and compare emulation accuracy for emulators based on different spatial discretization levels of the channel and for a standard non-mechanistic emulator.
Having validated our modeling framework on these well-characterized enhancers, we can now broadly apply this framework to discover regulators for less well-characterized enhancers in this system.
By way of illustration, we apply this framework to genetic susceptibility testing for three diseases: type 2 diabetes, age-related macular degeneration and clinical depression.
In this paper, we present a general hardware design framework for PFQ schedulers, and apply this framework to the WF2Q+ PFQ algorithm to demonstrate its properties.
Through recourse to an institutional theory context, we combine the analytical framework proposed by Oliver (1991) with the concept of institutional logics, and apply this framework to the financial accounting field for the first time.
The implications of the study for applying this framework through mixed methodological research are discussed, alongside an account of the impact of this approach within the NDNIA itself.
We then applied this framework to three key risk factors for chronic disease: unhealthy diets, alcohol, and tobacco.
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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