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

5. Mathematics. Designating a mathematical expression in which the relationship between dependent and independent variables is expressed explicitly. Chiefly in explicit function. Contrasted with implicit function at implicit adj. 2a.The function y = x + 1 is an example of an explicit function. For comparison, the equation of the unit circle, x² + y² = 1, is not explicit—in this case the expressed relationship is one between the squares of each variable.

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1814 P. Barlow New Math. & Philos. Dict. sig. X7 Having given the methods..of obtaining the derived functions, of functions of one or more quantities, whether those functions be explicit or implicit,..we will now show how this theory may be applied.

1870 W. G. Peck Pract. Treat. Differential & Integral Calculus i. v. 50 When these equations are solved the implicit function becomes explicit.

1910 E. J. Townsend & G. A. Goodenough Essentials Calculus ii. 40 In the form in which the function is here written it is also an explicit function of x.

1955 D. A. Quadling Math. Anal. xiii. 223 There is no hard and fast distinction between implicit and explicit functions.

2008 J. Stewart Single Variable Calculus : Early Transcendentals (ed. 6) iii. 207 In some cases it is possible to solve such an equation for y as an explicit function..of x.

单词	explicit function
释义	> as lemmas explicit function 5. Mathematics. Designating a mathematical expression in which the relationship between dependent and independent variables is expressed explicitly. Chiefly in explicit function. Contrasted with implicit function at implicit adj. 2a.The function y = x + 1 is an example of an explicit function. For comparison, the equation of the unit circle, x² + y² = 1, is not explicit—in this case the expressed relationship is one between the squares of each variable. ΚΠ 1814 P. Barlow New Math. & Philos. Dict. sig. X7 Having given the methods..of obtaining the derived functions, of functions of one or more quantities, whether those functions be explicit or implicit,..we will now show how this theory may be applied. 1870 W. G. Peck Pract. Treat. Differential & Integral Calculus i. v. 50 When these equations are solved the implicit function becomes explicit. 1910 E. J. Townsend & G. A. Goodenough Essentials Calculus ii. 40 In the form in which the function is here written it is also an explicit function of x. 1955 D. A. Quadling Math. Anal. xiii. 223 There is no hard and fast distinction between implicit and explicit functions. 2008 J. Stewart Single Variable Calculus : Early Transcendentals (ed. 6) iii. 207 In some cases it is possible to solve such an equation for y as an explicit function..of x. extracted from explicitadj.n.¹ < as lemmas
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