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The phrase "a universal form of" is correct and usable in written English.
It can be used when discussing something that is applicable or relevant across different contexts, cultures, or situations.
Example: "Music is often considered a universal form of expression that transcends language barriers."
Alternatives: "a global type of" or "a common method of".
Exact(14)
"It consistently combines reality and fantasy and puts an emphasis on storytelling as a universal form of human self-understanding".
Television delivers story after story, feeding the human need for narrative, which, along with dance, is a universal form of entertainment, said Dr. Fessler of U.C.L.A.
A universal form of automatic control has used computers to schedule assembly operations so that a variety of styles can be programmed along the same assembly line.
Parity violation and the concept of a universal form of weak interaction were combined into one theory in 1958 by the American physicists Murray Gell-Mann Gell-Mann and Richard Feynman
It is distribution-free because no classical theoretical distributions are assumed in advance and the inference result provides a universal form of PDF.
Landscape modification (loss, fragmentation and degradation of habitat) is a universal form of human-induced rapid environmental change that creates strong spatial variation in environmental conditions.
Similar(46)
Thus, ipseity exhibits a paradoxical nature; it may be considered as a general, universal form of consciousness, while also, notwithstanding its lack of properties, serving as the most intimate, individuated core of our personal identity.
It is a near universal form of storytelling – indeed, I often think that cavemen must have told ghost stories to explain away shadows cast by the fire inside their caves.
Learning to recognize risk associated with alarm cues appears to be a nearly universal form of predator learning for aquatic animals (e.g. amphibians: Woody and Mathis 1998; Mirza et al. 2006; fishes: Mirza and Chivers 2000; gastropods: Rochette et al. 1998; insects: Wisenden et al. 1997; flatworms: Wisenden and Millard 2001).
The calculated curve has a universal form in a wide enough range of variation of the plasma parameters (1 nT ≤ B0 ≤ 10 T; 1 km/s ≤ A ≤ 104 km/s; 10−2 ≤ β ≤ 1).
From a careful reading of the rest of the Prior Analytics, it becomes clear that Aristotle has a flexible notion of "one thing said of another" and that he regards standard mathematical proofs as really being in a universal form, which we express for purposes of comprehension as particular.
More suggestions(15)
a worldwide form of
a widespread form of
a comprehensive form of
a generalized form of
a shared form of
a one size fits all form of
a universal symbol of
a universal detector of
a universal system of
a universal curse of
a universal mechanism of
a universal error of
a universal tale of
a universal view of
a universal theory of
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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