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Mathematical definitions are precise. If you miss one part of a definition, then you cannot actually understand what the definition actually means. You have to

Mathematical definitions are precise. If you miss one part of a definition, then you cannot actually understand what the definition actually means. You have to internalize the meaning also, but you must know the definition precisely.

Koshkin 2y ago
It is also useful to know all alternative definitions, if any exist (they often do).