论文标题
受限的对数超出分析功率功能
Restricted Log-Exp-Analytic Power Functions
论文作者
论文摘要
形式$ h：\ mathbb {r} \ to \ mathbb {r}，x \ mapsto \ left \ left \ leawt {\ okit \ end {array} \ right。因此，对于此类函数，我们获得了TAMM定理的参数版本，这确实是$ \ MathBb {r} _ {\ textNormal {an}}}^{\ mathbb {\ MathBB {\ Mathb {r}} $ - 定义函数的TAMM定理的全面概括。
A preparation theorem for compositions of restricted log-exp-analytic functions and power functions of the form $$h: \mathbb{R} \to \mathbb{R}, x \mapsto \left\{\begin{array}{ll} x^r, & x > 0, \\ 0, & \textnormal{ else, } \end{array}\right.$$ for $r \in \mathbb{R}$ is given. Consequently we obtain a parametric version of Tamm's theorem for this class of functions which is indeed a full generalisation of the parametric version of Tamm's theorem for $\mathbb{R}_{\textnormal{an}}^{\mathbb{R}}$-definable functions.
