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The phrase "active science" is correct and usable in written English.
It can be used to refer to scientific research or fields that are currently being explored or developed, emphasizing ongoing work and discoveries.
Example: "The study of climate change is an area of active science, with researchers constantly seeking new data and insights."
Alternatives: "current science" or "dynamic science".
Exact(9)
Typically, this means active science, technology and innovation policy activities.
Typically, this means active science, technology and innovation (STI) policy activities.
Dijkgraaf says that in addition to his administrative role, he plans to return to active science, which the KNAW presidency left him little time for.
Brzustowski adds the Government's measures taken to increase the number of active science and engineering researchers in Canadian universities appear to be working, given the growth in demand for discovery grants.
He is an active science popularizer and book author, and has a number of websites promoting science education and mathematics: The Astronomy Café and SpaceMath@NASA.
Weisinger was already an active science fiction fan, and when Wonder Stories was acquired, Margulies involved him in the editorial work.
Similar(51)
Natural order (ii) is the order of the subject matter, that is, the degree of abstraction: first the speculative sciences, then active sciences, and finally the sciences of language (DOS 630 635).
According to this, the first among the sciences are the speculative – and among them the highest (certior) is mathematics (NLP II.34, 512) – followed by the active sciences – and here ethics is prior to mechanics.
He further divides philosophy into speculative the name that designates a group of sciences constituted by physics, mathematics, and metaphysics—and another group classified under the heading 'about human things', that is, the results of human intentionality (QLIS 90, 286); it includes the active sciences and the sciences of language.
Cavendish remained active in science and healthy in body almost until the end.
Prior to his time as an entrepreneur, Mittal was active in science research, presenting at the 2002 Nobel Prize Ceremonies, and MIT Lincoln Laboratory named an asteroid after him for his work.
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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