Some undecidable problems involving elementary functions of a real variable
Some undecidable problems involving elementary functions of a real variable
复制标题
涉及实变量初等函数的一些不可判定问题
DOI：
10.2307/2271358
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发表时间：
1969
影响因子：
0.6
通讯作者：
D. Richardson
中科院分区：
文献类型：
--
作者：
D. Richardson
设E是一组表示真实的、单值、部分定义的一个真实的变量的函数的表达式。E* 将是由E中的表达式表示的函数的集合。如果A是E中的表达式，则A（x）是由A表示的函数。假设E* 包含单位函数和有理数作为常数函数，并且E* 在加、减、乘和复合下是封闭的。
Let E be a set of expressions representing real, single valued, partially defined functions of one real variable. E* will be the set of functions represented by expressions in E. If A is an expression in E, A(x) is the function denoted by A. It is assumed that E* contains the identity function and the rational numbers as constant functions and that E* is closed under addition, subtraction, multiplication and composition.