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The phrase "a representation of all" is correct and usable in written English.
It can be used when describing something that symbolizes or illustrates the entirety of a group, concept, or category.
Example: "The mural serves as a representation of all the cultures that make up our community."
Alternatives: "a depiction of everything" or "an illustration of all".
Exact(28)
We give a representation of all complete Nevanlinna Pick kernels, and show that they are all restrictions of a universal complete Nevanlinna Pick kernel.
Disparity is a representation of all of that.
Clustering: A representation of all regions at each intensity level is created.
(2) Clustering: A representation of all regions at each intensity level is created.
These species contain a representation of all the heavy and very heavy hydrocarbon and nitrile ion species and related chemistry.
The new Column Navigator feature, at the bottom of the screen, shows a representation of all your columns and allows you to navigate around them quickly by simply clicking.
Similar(32)
According to (Kang et al. 1990), a feature model is a compact representation of all possible products or configurations, for instance, of an SPL.
A psychrometric chart is a graphical representation of all possible conditions within the range for which the chart is constructed.
Even if a computer could accurately create a digital representation of all these features, which in itself involves many serious obstacles, a simulation of a brain is still not a physical brain.
The coconut prawn (served inside a coconut) called Daab Chinguri is a great representation of all that is great about this cuisine.
She's an extreme example and certainly not a fair representation of all or most bloggers.
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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