A contribution of number theory and data compression to mathematical modeling

Abstract

A new number-theoretic approach describing the transformation of a set of data into a finite binary string is given. By applying a lossless data compression method to this string and viewing it as a restricted partition, the data can be plotted as a point on a number line, a plane, or in a 3- or 4-dimensional space for the purpose of storage and retrieval, analysis, and decision-making.