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The phrase "a representation of how" is correct and usable in written English.
It can be used when describing or illustrating a method, process, or concept in relation to something else.
Example: "The diagram serves as a representation of how the water cycle operates in nature."
Alternatives: "an illustration of how" or "a depiction of how".
Exact(40)
But while Google studies public data and Facebook promotes the idea of a single, global network of relationships, Slack thinks of the work graph as specific to each company—a representation of how work is structured within it.
Webpages are an expression of organizational identity, a representation of how an organization presents itself.
Two people making change for five dollars as a representation of how matter is conserved in a chemical reaction.
More specifically, it's a representation of how people recorded their appointments prior to the invention of smartphones.
Some of his best students at the University of Southern California, he said, are too nervous to deliver a representation of how well they really play and might stand to benefit from beta blockers.
Hassam, defensive over criticism of the mythological paintings, attempted to explain them to his detractors as a representation of how the landscape looked in the ancient past, though what Greek gods were doing there is anyone's guess.
Similar(20)
'Scripts provide a cognitive representation of how an individual believes a sequence of events will occur' (Abelson 1981), and 'individuals rely on their scripts to guide attention and behaviour, especially in new situation (Fiske and Taylor 1991).
More of a picture book than a comic, I had a Black Dog is a graphic representation of how it feels to be clinically depressed.
A co-citation network is a graphical representation of how genes interact with each other to functionally affect a phenotype.
Figure 1 showed a model that offered a possible representation of how these three categories of questions interacted with one another during their oral discourse.
"We are giving them a taste of the set, a physical representation of how elaborate the set can be," said del Toro of the custom environments.
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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