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The phrase "and functions based on" is correct and usable in written English.
You can use it when describing how something operates or is determined by certain factors or principles.
Example: "The software is designed to analyze data and functions based on user input and predefined algorithms."
Alternatives: "and operates according to" or "and is driven by".
Exact(11)
In the process of encryption, the parameters such as rotation angles and random phase masks are generated as interim variables and functions based on Chen system.
In this paper, a general method is proposed to design all-optical photonic crystal logic gates and functions based on threshold logic concept that have regular pattern in inputs.
It is possible to achieve control of the amount and time of drug delivery because these new stimuli-responsive gels change their structures and functions based on the changes in external conditions.
During the process of demographic and social reforms, the state imposes mandatory intervention into family patterns out of its own necessity and manipulates the family relationship and functions based on utilitarian principles (Yang, 2011a).
A survey of structures and functions based on own examinations of almost 20,000 species is provided, for further references we refer to Barthlott et al. (Philos. Trans. R. Soc. A 374: 20160191, 1).
When problem solving and creative idea generation are concerned in the scope of design context, similarity is described from the perspective of shared attributes, relations and functions of the systems [3, 4], specifically the shared structures, behaviors and functions based on the function-behavior-structure (FBS) linkage [5].
Similar(49)
Focuses on molecular approaches to cochlear development and function, based on readings and discussion of research literature.
Mouse fetal liver cells from gestational day 17 possessed intermediate differentiation and function based on their molecular profile.
The designed EETS is ecologically complex and mechanically simple and has very low energy consumption and function based on a natural cleansing mechanism (attenuation) with esthetic value.
Moreover, PDB2Graph is an appropriate tool for identifying critical nodes involved in protein structural robustness and function based on centrality indices.
We also plan to augment both data and function based on input from our users.
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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