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The phrase "as a representation of how" is correct and usable in written English.
It can be used when explaining or illustrating a concept, idea, or process in relation to its representation or demonstration.
Example: "The chart serves as a representation of how the population has changed over the last decade."
Alternatives: "as an illustration of how" or "as a depiction of how".
Exact(8)
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.
Mercator's breakthrough was to provide sailors with a map on which they could plot fixed courses as straight lines.His projection was a navigator's godsend, but as a representation of how things are, it came with well-known costs.
The teens I know accepted the combat as a given, while their elders, bewildered, and looking for a little meaning, interpreted the story as a representation of how kids felt about the competitive traumas of high school; or as a metaphor for capitalism, with its terrifying job market and winner-take-all ethos; or, more simply, as a satiric exaggeration of talent-show ruthlessness.
Our hope and intent was to provide the directors with a similar graphic language that both functioned as a screen graphic but also as a representation of how people/aliens understand the world/universe around them.
Second, we created a care delivery setting that could serve as a representation of how health care is currently delivered in the U.S. We modified different aspects of the care setting through sensitivity analysis.
Just as the framing of policy responses to social problems is regarded as a representation of how the original 'problem' is understood [ 27], so analysis of how lay people construct new knowledge offer insights into their interpretation and response to existing and observable situations.
Similar(52)
The above matrix is a representation of how the process of online information discovery has evolved over time.
By "family tree" I mean a representation of how they share evolutionary history.
On one hand, you could view this as a perfect representation of how the majority of civilians are cosseted from the atrocities of war — they're in the comfy, climate-controlled cabin, untouched by tragedy and free to move on, to gather their luggage, head on home, and forget about it.
A possible world can be thought of as an abstract representation of how things are or could be (Stalnaker 1987; see also SEP entry on Possible Worlds).
Chris Ryan of MTV Buzzworthy was positive and called it a "beautifully shot portrait of a woman on the edge of a nervous breakdown", and The Fader writer Julianne Escobedo Shepherd regarded it as an accurate representation of how women act when they are "wronged by dudes".
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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