英语词汇“mean-value theorem”的翻译、意思、用法、释义-英汉双解词典-雅致网

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单词	mean-value theorem
释义	Definition of mean-value theorem in English: mean-value theorem noun Mathematics An elementary theorem in mathematical analysis, which states that if a real function f(x) is continuous on the closed interval a ≦ x ≦ b and differentiable on the open interval a < x < b, then there is a point in the open interval at which the first derivative of the function is equal to f(b) − f(a)/b − a. Origin Early 20th century; earliest use found in Transactions of the American Mathematical Society. Definition of mean-value theorem in US English: mean-value theorem noun Mathematics An elementary theorem in mathematical analysis, which states that if a real function f(x) is continuous on the closed interval a ≦ x ≦ b and differentiable on the open interval a < x < b, then there is a point in the open interval at which the first derivative of the function is equal to f(b) − f(a)/b − a. Origin Early 20th century; earliest use found in Transactions of the American Mathematical Society.
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更新时间：2025/6/18 11:32:52