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A counting method for finding rational approximates to arbitrary order roots of integers | | Ashok Kumar Gupta
; Ashok Kumar Mittal
; | | Date: |
11 Dec 1999 | | Subject: | General Mathematics | math.GM | | Affiliation: | Department of Electronics and Communication, Allahabad University, India, Department of Physics, Allahabad University, India | | Abstract: | It is shown that for finding rational approximates to m’th root of any integer to any accuracy one only needs the ability to count and to distinguish between m different classes of objects. To every integer N can be associated a ’replacement rule’ that generates a word W* from another word W consisting of symbols belonging to a finite ’alphabet’ of size m. This rule applied iteratively on almost any initial word W0, yields a sequence of words {Wi} such that the relative frequency of different symbols in the word Wi approaches powers of the m’th root of N as i tends to infinity | | Source: | arXiv, math.GM/9912090 | | Services: | Forum | Review | PDF | Favorites | |
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