正实数集上给定二元运算的解析乘
首发时间:2018-03-06
摘要:本文完善了用整数序列构造正实数的方法. 在正实数集上给定二元运算规范点上的双叠页序列的基础上引入解析乘概念. 证明正实数集上的乘法是加法的解析乘, 乘方是乘法的解析乘, 但乘方不存在解析乘. 引入庶乘方概念, 证明庶乘方存在形式解析乘. 引入可代表庶乘方形式解析乘精髓的丁函数概念, 猜测丁函数是整函数.
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The analytic multiplication of a binary operation on positive real numbers
Abstract:In this paper, we improved the method of constructing positive real numbers by integer sequences. We introduced the concept of analytic multiplication based on the double-stack-page sequence at a regulatory piont of a given binary operation on positive real numbers. We proved that multiplication is the analytic multiplication of addition, and involution is the analytic multiplication of multiplication, but there isn't analytic multiplication of involution. We introduced the concept of bastard involution, and proved there exist formal analytic multiplication of bastard involution. We difined Ding Function which reflects the essence of formal analytic multiplication of bastard involution, and supposed Ding Function is entire function.
Keywords: analytic multiplication tetration double stack analytic continuation Ding Function
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