| 单词 | functional equation |
| 释义 | > as lemmasfunctional equation functional equation n. Mathematics an equation in which one or more of the functions that occur in it are unknown, a solution of which being any set of functions which satisfy the equation for all possible arguments. ΚΠ 1814 J. F. W. Herschel in Philos. Trans. (Royal Soc.) 104 459 The equation 0 = φ2 ( x ) − ( 1 + b ) · φ ( x ) + bx is a functional equation of the second order, and is satisfied by the following φ ( x ) = a + bx. 1922 Ann. Math. 24 121 The functional equation considered in this paper arose out of an extension of a problem in arrangements which occurs in the theory of linear algebra. 2015 P. Grindrod Math. Underpinnings Analytics iv. 146 Recursion and fractals are fundamental ideas and objects that are best expressed through functional equations. < as lemmas |
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