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The phrase "a system of representing" is correct and usable in written English.
You can use it when discussing methods or frameworks for conveying information, ideas, or concepts.
Example: "Mathematics is often described as a system of representing quantities and relationships through symbols and numbers."
Alternatives: "a method of depicting" or "a framework for illustrating".
Exact(2)
A bill approved unanimously last week by committees in the State Senate and House of Representatives would for the first time set statewide standards and provide $12 million in state financing for a system of representing indigent defendants in Texas, one of only four states that provides no money for that purpose.
But in second-order resemblance, the relations among a system of representing vehicles mirror the relations among their objects.
Similar(58)
A system of equations representing the model was simultaneously solved using the implicit finite difference method.
Put another way, the Democrats didn't fulfill their duty in a two-party system of representing the opposing point of view on the debt ceiling (especially, again, when polls show that the people don't support the GOP's draconian position on the issue).
This formidable display of categorization has produced a complex and intricate cultural system of representing ethnic territories, racial mappings and exclusionary perceptions.
For starters, there's a system of lives, represented by hearts.
These techniques are based on treating a biological process as a system of equations, represented by their rate constants and other parameters (like volume, cell density etc).
Numerals and numeral systems, a collection of symbols used to represent small numbers, together with a system of rules for representing larger numbers.
This disconnected European unions from medieval craft traditions and prevented the establishment of a system of craft unions representing only workers with a specific skill.
The shaping of a writing system to make it suitable for a wide range of cultural purposes required other developments besides the invention of a system of characters for representing linguistic form.
A widely used approach to simulation modeling, discrete event simulation, can represent a system of this sort by representing people as model entities.
More suggestions(15)
a history of representing
a result of representing
a means of representing
a method of representing
a group of representing
a decade of representing
a function of representing
a century of representing
a way of representing
a chance of representing
a record of representing
a kind of representing
a case of representing
a matter of representing
a system of representative
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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