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The phrase "approximation is defined in" is correct and usable in written English.
You can use it when discussing the definition or explanation of a concept related to approximation in a specific context, such as a textbook or research paper.
Example: "In the context of numerical analysis, approximation is defined in the following manner: it refers to the process of finding a value that is close to a desired quantity."
Alternatives: "approximation is described in" or "approximation is outlined in".
Exact(1)
(Note that all the RB quantities should bear a N - X N N u N N k s N N k - since the RB approximation is defined in terms of the truth discretization; however, for clarity of exposition, we shall typically suppress this superscript).
Similar(59)
The extrapolated Crank-Nicolson discontinuous Galerkin approximation is defined by.
For, the Yosida approximation is defined by for all.
The approximation error is defined in the worst case, average case and randomized settings.
where,,,, are central difference approximations which is defined in [11] as follows: (23).
A "scalar" approximation to the perturbation series is defined in which only scalar diagrams in the perturbation series are maintained.
In the present paper, the positive answer will be partially given under some mild conditions with the help of strong approximation method, and, since R / S statistic is defined in a self-normalized form, we will not restrict the finiteness of the second moment for { X, X n, n ≥ 1 }.
At the same time, upper approximation and lower approximation are defined under this improved relation.
The elastic metric is defined in the intermediate configuration, defined itself by the proper discrete approximation in time of the plastic deformation gradient Fp.
A compounded disturbance is defined in terms of the external disturbance, parameter uncertainty, nonsymmetric dead-zone input, and approximation error of FLS.
The cost function that quantifies the quality of the approximation can be defined in different ways.
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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