This manager is deeply versed in the art of management.
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深谙 is bookish / literary. The everyday equivalents are 非常了解, 精通 (jīngtōng, master / be proficient in), or 熟悉 (familiar with). 深谙 implies not just knowledge but practiced wisdom — used for someone who has internalized a domain.
memory
深 (deep) + 谙 (be familiar with — 言 speech radical + 音 sound, picturing someone who has heard much). Together: "deeply heard / acquainted" → has lived with it long enough to know it cold.