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单词 Zero set
释义

Zero set

英语百科

Zero set

In mathematics, and more specifically in geometry and topology, the zero set of a real-valued function f : XR (or more generally, a function taking values in some additive group) is the subset f^{-1}(0) of X (the inverse image of {0}). In other words, the zero set of the function f is the subset of X on which f(x) = 0. The cozero set of f is the complement of the zero set of f (i.e., the subset of X on which f is nonzero).

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