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The phrase "a second important representation" is correct and usable in written English.
You can use it when discussing multiple representations or examples, emphasizing that the second one holds significance.
Example: "In our analysis, we will first examine the primary representation, followed by a second important representation that highlights different aspects of the issue."
Alternatives: "a second significant representation" or "another key representation".
Exact(1)
A second important representation of the Pareto (II) distribution, known to Maguire et al. (1952), is as a mixture of exponentials.
Similar(59)
A second important point is that there are no intermediary representations: there is only input and output.
A second important point is that animal models are an imperfect representation of rheumatoid arthritis.
Furthermore, a second important aspect of the visuospatial sketchpad and phonological loop is that the representation within these mechanisms can be actively manipulated.
A second important difference is that only the semantic-factor models provide a basis for a generative theory of object representation that is extensible to new words.
Correlogram is an important representation for periodic signals.
We identified an important representation within the model of evolution.
Again: entity was a first, relation was a second, and representation was a third.
Here, at \(t_0\), one representation a is joined by a second representation b.
Russell's second important point of departure from Hume concerns that which is distinctive of memory representations.
The third important problem for standard QFT which prompted reformulations is the existence of inequivalent representations.
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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