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The phrase "are defined to represent" is correct and usable in written English.
It can be used when explaining the meaning or purpose of certain terms, concepts, or variables in a specific context, such as academic or technical writing.
Example: "In this study, the variables X and Y are defined to represent the relationship between temperature and pressure."
Alternatives: "are specified to denote" or "are established to signify".
Exact(7)
Descriptors are 0, 1, and 2 as expected, and variables are defined to represent them.
Two affinity measures including dominance affinity and distance affinity are defined to represent the similarity of antibody to antibody and that of antibody to antigen.
The features of the proposed algorithm are as follows: First, three subsets of candidate intermodes are defined to represent different MB activities.
Fictitious "feature" atoms (also known as "color" atoms) are defined to represent the pharmacophore feature functional group types present in a chemical structure.
Discretization process of the mathematical model is greatly simplified by three differential operators that are defined to represent the expressions of divergence, gradient and average as their original forms, and thus, enable rapid prototyping of the numerical model.
The idea of the design is to transform the warehouse floorplan into a grid, in which virtual order center and batch center are defined to represent symbolic positions of orders and batches of the solution, respectively.
Similar(53)
A set of test cases has been defined to represent possible excitation of the system.
A fibre orientation tensor is defined to represent the continuous distribution of collagen fibre directions.
A non-dimensional parameter ψ is defined to represent the values of the air temperature gradient.
First, a chromosome structure is defined to represent the solutions to the problem.
In this example, a new inductive type is defined to represent natural numbers in Peano notation.
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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