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The phrase "a method based on" is correct and can be used in written English.
It is used to describe a particular approach or technique that is derived from a certain principle or foundation. Example: The company has implemented a new sales technique, which is a method based on building strong customer relationships.
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A method based on graduation curves is presented.
Rocha, J. C. et al. A method based on artificial intelligence to fully automatize the evaluation of bovine blastocyst images.
A method based on three-dimensional elastic theory is developed.
Also outlined is a method based on 3D mip maps for efficiently generating perspective volume renderings and beam's-eye views.
We specifically present a method based on a graph-matching algorithm to detect conserved pathways between two protein networks.
We describe a method, based on magnetic sensing, for measuring eye movements in head-fixed and freely moving mice.
Carreras [20] presents a method based on IA.
Goljan and Fridrich [10] proposed a method based on DCT.
At the heart of both studies is a method based on what are known as phylogenetic studies.
Parzen classifier is a method based on the Bayes theory: Open image in new window 6.
Parzen classifier is a method based on the Bayes theory: Open image in new window.
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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