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The phrase "a logical transformation of" is correct and usable in written English.
It can be used when discussing changes or modifications that follow a logical process or reasoning, often in contexts like mathematics, philosophy, or computer science.
Example: "The equation represents a logical transformation of the original formula, leading to a more simplified version."
Alternatives: "a rational alteration of" or "a reasoned modification of".
Exact(1)
Peirce maintained that if "enough" points were to be crowded together by carrying insertion of new points between old to its ultimate limit they would through a logical "transformation of quantity into quality"—lose their individual identity and become fused into a true continuum.
Similar(59)
Key's bible of Southern politics, Southern Politics in State and Nation, 1949), McKee weaved Dixiecrats, Goldwaterites, Wallacites, Stealth Reconstructionists, Boll Weevils, Reagan Democrats, Blue Dogs and Republican Revolutionaries into a logical transformation over the past seven decades.
The logical transformation of the genome-scale metabolic models (LTM) could enable a gene-level prediction, that is, direct gene targets would be determined through APGC.
For the reactions in Table 2, the regulatory rule of b1814 can be divided by simple logical transformation into 6 rules, of which 3 contradict with each other (the shaded parts in Table 2).
Councillors are a logical choice of candidate.
He had a logical way of arguing.
"A logical argument?" "Of course not.
A logical assessment of the odds of harm helps.
A Logical Calculus of Ideas Immanent in Nervous Activity.
It could not be a logical consequence of another conjecture.
Why? -Is outsourcing a logical extension of globalization?
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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