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The phrase "the former class was" is correct and usable in written English.
It can be used when referring back to a previously mentioned class or group in a discussion or text. Example: "In the previous section, we discussed the importance of teamwork. The former class was particularly effective in fostering collaboration among its members."
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Therefore, the former class was characterized as "critical" and the latter was "uncritical".
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An individual dog, however, though a member of the former class, is not a member of the latter because an individual dog is not a species of animal (if the number of dogs increases, the number of species of animals does not thereby increase).
Comparison between the methods in both categories indicates that the former class is easy to implement in power system simulation software.
Here we give an example of a quasi-Bregman strictly peudocontractive mapping which is not quasi-ϕ strictly pseudocontractive mapping; this shows that the former class is a generalization of the latter.
Cell surface receptor-like kinases (RLKs) naturally belong to the former class and are involved in many short-range intercellular signaling processes.
The former class of compounds was prepared by esterification reactions of chalcones with fatty acid chlorides (streatoyl or palmitoyl) whilst the disubstitued analogues have been synthesized via electrophilic addition and Michael addition.
But although it can be shown that \ \textbf{BQP} \subseteq \textbf{PSPACE}\), the relationship between the former class and \ \textbf{NP}\) is currently not well understood.
We believe that the former class of ncRNA is likely the tip of the 'ncRNA iceberg', regardless of it having received much attention.
But, the main difference between this approach and the one proposed in the present paper relies on the fact that in the former, the classes are arbitrarily defined (or at least, are the result of a single expert's analysis), whereas in the present paper the classes are deduced from an experimental procedure, which is more time consuming but allows them to be considered as perceptually relevant.
Such class of OLHs is called OLHs of order two while the former class just possessing two-dimensional orthogonality is called OLHs of order one.
He then ranked them side by side and discovered that the top 412 students were from the former class, the one taught to the "open world," with the highest achieving Stanford student being number 413.
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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