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глубокие знания stresses
gen.	deep knowledge; intimacy; profound knowledge; advanced knowledge (Shinedawn); depth of experience (Johnny Bravo); strong knowledge (of ... – чего-либо Alex_Odeychuk); sound knowledge (Liolichka); intimate knowledge (ssn)
Игорь Миг	wealth of knowledge
adv.	penetrating knowledge; profound learning; thorough knowledge
busin.	extensive knowledge (напр., по специальным вопросам Alex_Odeychuk)
ed.	strong background (in ... – в области ... / по ...: This paper requires a strong background in quantum computing and machine learning to fully understand. — Для полного понимания этой научной статьи требуются глубокие знания в области квантовых вычислений и машинного обучения.)
IT	deep knowledge (основанные на конкретных принципах, а не на правилах)
polit.	vast knowledge (bigmaxus)
scient.	deep insight (Alex_Odeychuk)
глубокое знание
gen.	strong knowledge (of ... – чего-либо Alex_Odeychuk)
Gruzovik	thorough knowledge
busin.	intimate knowledge; deep insight (Alex_Odeychuk)
math.	intimate knowledge of; intimate knowledge of со знание дела

глубокие знания: 57 phrases in 19 subjects

Artificial intelligence	1
Automated equipment	2
Business	3
Cinematography	1
Cultural studies	1
General	14
Human resources	1
Intelligence and security services	1
Law	2
Linguistics	3
Makarov	6
Mathematics	1
Philosophy	1
Physics	1
Programming	4
Quantum electronics	1
Religion	3
Rhetoric	4
Scientific	7