英语词汇“inverse function”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

inverse function n. [after French fonction inverse (1797 or earlier)] Mathematics a function g whose relationship to another function f is such that the domain and image of g are respectively the same as the image and domain of f, and g (y) = x whenever f(x) = y (and vice versa) for all values of x and y.The inverse function of a function f is usually denoted f⁻¹ and has the property that f⁻¹(f(x)) = x and f(f⁻¹(y)) = y for every x in the domain of f and every y in the domain of f⁻¹.

ΚΠ

1813 Philos. Trans. (Royal Soc.) 103 10 It frequently happens that a peculiar characteristic symbol is appropriated to the inverse function.

1918 Math. Teacher 10 151 This method is useful in deriving the graphs of inverse functions.

2008 J. Stewart Calculus (ed. 6) vii. 389 If f is a one-to-one continuous function defined on an interval, then its inverse function f⁻¹ is also continuous.

单词	inverse function
释义	> as lemmas inverse function inverse function n. [after French fonction inverse (1797 or earlier)] Mathematics a function g whose relationship to another function f is such that the domain and image of g are respectively the same as the image and domain of f, and g (y) = x whenever f(x) = y (and vice versa) for all values of x and y.The inverse function of a function f is usually denoted f⁻¹ and has the property that f⁻¹(f(x)) = x and f(f⁻¹(y)) = y for every x in the domain of f and every y in the domain of f⁻¹. ΚΠ 1813 Philos. Trans. (Royal Soc.) 103 10 It frequently happens that a peculiar characteristic symbol is appropriated to the inverse function. 1918 Math. Teacher 10 151 This method is useful in deriving the graphs of inverse functions. 2008 J. Stewart Calculus (ed. 6) vii. 389 If f is a one-to-one continuous function defined on an interval, then its inverse function f⁻¹ is also continuous. extracted from inverseadj.n. < as lemmas
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