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The phrase "axiomatic trends" is correct and usable in written English.
It can be used in contexts discussing fundamental principles or widely accepted ideas that are evident or self-evident in a particular field or subject.
Example: "The research highlighted several axiomatic trends in consumer behavior that have remained consistent over the years."
Alternatives: "fundamental patterns" or "self-evident trends".
Exact(1)
Hilbert's book made clear the new axiomatic methodology that had been shaping up in connection with the novel methods of set theory, and he combined it with the axiomatic trends coming from projective geometry.
Similar(58)
C ELLS follow axiomatic operating principles that determine state change, movement, proliferation, and resource consumption.
The Tracking Excavator project is an effort to quantify a trend we all have more or less accepted as axiomatic: as the web has grown, third-party trackers, from advertisers to analytics, have grown with it.
However, identification of growth trends and attribution of their drivers demands statistical control of the axiomatic co-variation of tree size and age, and avoiding sampling biases at the stand, forest, and regional scales.
Proofs that 0.999... = 1 which directly use these constructions are not found in textbooks on real analysis, where the modern trend for the last few decades has been to use an axiomatic analysis.
Axiomatic, even.
That is axiomatic.
It sounds axiomatic.
Their innocence is axiomatic.
It's axiomatic.
That's axiomatic.
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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