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The phrase "all the transformations of" is correct and usable in written English.
It can be used when discussing various changes or modifications that something undergoes, often in contexts like mathematics, science, or art.
Example: "In this study, we will analyze all the transformations of the original equation to understand its behavior under different conditions."
Alternatives: "all the changes in" or "all the variations of".
Exact(2)
The CO insertion reaction is involved in all the transformations of [Fe(CO 4R]− into organic molecules.
It has come to stand as the principal source of the view that geometry can be defined as a group acting on a space, and a geometrical property is any property invariant under all the transformations of the appropriate group.
Similar(58)
It is also because, for all the transformation of Indonesian politics, some aspects of 1965 still seem too close for comfort.
AmberTools's ptraj was used for the DSSP calculations and for all the transformation of the trajectories.
All exemplified the transformation of the American South that occurred between the mid-1960s and the mid-1970s, a transformation now largely taken for granted.By some measures Mr Jackson had the most privileged background.
Defined loosely, this category, built around twinned narratives of physical and spiritual transformation, includes a wide range of reality programming: not only "The Swan" and "What Not to Wear" but also "Dog Whisperer," which tames rowdy pets; "The Biggest Loser," a weight-loss competition; and "American Idol," which is, after all, about the transformation of amateurs into pop stars.
We've all seen the transformation of the American landscape over these last decades.
As for Mondo, they all agree the transformation of his dress was astounding.
Then followed the phase of the Septimontium, a federation of the settlements on the different hills; after that came the city bounded by the Servian wall; and still later, after all the transformations during the periods of the republic and the early Caesars, the city which the Emperor Aurelian surrounded with its walls.
After all, the transformations brought about by the advent of the penny press, in some ways, resemble the more recent ones caused by the Internet.
Frog metamorphosis offers an excellent opportunity to study the formation of adult stem cells as this process involves essentially the transformations of all larval tissues/organs into the adult form.
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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