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The phrase "analysis of this approximation" is correct and usable in written English.
It can be used when discussing the examination or evaluation of a specific approximation in a mathematical, scientific, or analytical context.
Example: "The analysis of this approximation reveals significant insights into the underlying model's behavior."
Alternatives: "examination of this approximation" or "evaluation of this approximation".
Exact(1)
Since the theoretical analysis of this approximation cannot be shown in this paper, this will be a future work of our study.
Similar(59)
The numerical analysis of the approximation provides criteria for stability and convergence.
Moreover a parametric analysis of the approximation induced by the explicit algorithm, as a result of the truncation order in the calculation of the series expansion, is carried out.
We provide theoretical analysis of the approximation behavior and also design convergence guaranteed numerical algorithms based on Bregman iteration.
Theoretical analysis of the approximation power of Butterfly-Net to the Fourier representation of input data shows that the error decays exponentially as the depth increases.
We call our mapping algorithm ApproxMap, because the project involves an analysis of the approximation between the sets representing the bnodes.
A global sensitivity analysis of the approximation results in our example shows that size reduction of more than 90%% is possible without significantly affecting the basic model results.
An error analysis of the approximations used is included.
Statistical analysis of the approximations in terms of mean relative error, maximum positive relative error, maximum negative relative error and correlation quotient are presented.
Moreover, we study some natural heuristics for this problem, and give tight analysis of their approximation ratios.
We also study some of the previously proposed algorithms for this problem, and give either tight or tighter analysis of their approximation ratio.
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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