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The phrase "a universal method was introduced" is correct and usable in written English.
It can be used when discussing the implementation or presentation of a method that is applicable in a wide range of situations or contexts.
Example: "In the latest research paper, a universal method was introduced to improve data analysis across various fields."
Alternatives: "a general approach was established" or "a comprehensive technique was presented".
Exact(1)
A universal method was introduced to dramatically increase the catalytic efficiency.
Similar(59)
A universal method is developed here to handle both Gaussian and compound Poisson white noise.
A few of these methods are introduced below by example.
Furthermore, classification methods are introduced.
Lethal gas was briefly popular, and lethal injection, now the almost universal method of execution, was introduced in 1977.
From October 2007, a universal 30 mg dose was introduced and 40 mg tablets of stavudine were withdrawn from the clinic.
Universal military service was introduced in Britain before universal adult male suffrage.
Vitsoe's 606 Universal Shelving System was introduced in 1960.
In the paper method of compatibilization of the blends of thermodynamically immiscible polymers through the formation in situ of a universal compatibilizer based on RPS was introduced.
In 2010 a policy of universal screening for GDM was introduced.
In April 2007, a government-funded universal HPV vaccination program was introduced in Australia [ 5], the first country to do so.
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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