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"define the basis" is a grammatically correct and usable phrase in written English.
It means to give a clear explanation or description of the fundamental principles or reasoning behind something. Example: In order to understand the issue at hand, we must first define the basis of our argument.
Exact(26)
President Lincoln takes care, by great precision in his language, to define the basis on which this action rests.
The following sections define the basis of these technologies.
First, we define the basis of our temporal model, namely clocks, and their refinements.
Each dimension is found to consist of several attributes that define the basis of e-service quality perceptions.
To define the basis of TRiC/CCT substrate recognition, we mapped the chaperonin interactions with the VHL tumor suppressor.
The original scope was intended to define the basis for the two primary cornerstones of a project: physical facilities and the required project deliverables.
Similar(34)
Execution of the first command shown in Example 3 defines the basis species characterizing the chemical system.
After defining the basis species, the user can select any number of species of interest using the primary function species.
So understood, justice defined the basis of equal citizenship and was said to be the requirement for human regimes to be acceptable to the gods.
The penumbra region retains structural integrity but has a compromised functionality and its long term recovery defines the basis for stroke and/or tissue infarction therapy (Yuan, 2009).
There are many ways of numerically defining the basis functions, one of which being to impose homogeneous boundary conditions on each of the three surfaces.
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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