This work addresses the notion of compression ratios greater than
what has been known for random sequential strings in binary and
larger radix-based systems as applied to those traditionally found
in Kolmogorov complexity. A culmination of the author's decade-long
research that began with his discovery of a compressible random
sequential string, the book maintains a theoretical-statistical
level of introduction suitable for mathematical physicists. It
discusses the application of ternary-, quaternary-, and
quinary-based systems in statistical communication theory,
computing, and physics.
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