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单词 intermediate value theorem
释义

intermediate value theorem

The theorem states that if a real function f is continuous on the closed interval [a, b] and η is a real number between f(a) and f(b), then f(c) = η for some c in (a, b).

The theorem relies on the connectedness of the interval and naturally generalizes to real-valued functions on other connected spaces.

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更新时间:2025/5/20 7:38:44