Continued logarithm representation of real numbers
J\"org Neunh\"auserer
TL;DR
This paper introduces a new continued logarithm representation for real numbers and investigates the distribution and frequency of digits within this novel representation.
Contribution
It presents the continued logarithm representation and establishes results on digit occurrence and frequency, a new approach in number representation theory.
Findings
Results on digit occurrence in continued logarithm representation
Frequency analysis of digits in this representation
Foundational properties of the continued logarithm system
Abstract
We introduce the continued logarithm representation of real numbers and prove results on the occurrence and frequency of digits with respect to this representation
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Taxonomy
TopicsNumerical Methods and Algorithms · Computability, Logic, AI Algorithms