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The phrase "a method that is based on" is correct and usable in written English.
You can use it when describing a method that relies on a specific principle, theory, or foundation.
Example: "The research employs a method that is based on established psychological theories to analyze behavior."
Alternatives: "a method grounded in" or "a method derived from".
Exact(29)
The factorization problem is solved by a method that is based on the calculation of one solution of the Riemann Hilbert problem GΦ+="Φ− in L∞(R) and does not require solving the associated corona problems since a second linearly independent solution is obtained by means of an appropriate transformation on the space of solutions to the Riemann Hilbert problem.
We propose a method that is based on two established modern techniques.
The following research work presents a method that is based on design principles from the so-called Constructal Theory.
The term 'objective' connotes a method that is based on facts and not influenced by personal opinions, perception or emotion.
We propose a method that is based on a novel optimization algorithm in order to create subset of records chosen from a large database.
A method, that is based on the combination of statistical stationary engine measurement (Design of Experiments - DoE) and dynamic identification techniques for nonlinear multi-input systems is shown.
Similar(31)
A survey on visual quality assessment methods that are based on information theory is given in[9].
We validated our MALDI-based results with independent analytical methods that are based on immunoassays [26].
Preference for easily reproducible algorithms: methods that are based on simple concepts, such as the statistical potential based method IUPred [39] and the hydrophobicity/net-charge based method FoldIndex [3], [36] can easily be reproduced by anyone.
An exception in this regard are methods that are based on vst transformation (bg_vst_*).
Notably, CYTO is the only labeling method examined that is based on direct histological investigations.
More suggestions(15)
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a movie that is based on
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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