A Level of Martin-Lof Randomness

ISBN-13: 9781578087518 / Angielski / Twarda / 2012 / 130 str.

Bradley S. Tice

Opis

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.

Spis treści

Introduction. Definition of a Level of Martin-Lof Randomness. Compression. Radix Numbers: A Historical Overview. Binary: An Overview of the Radix 2 System. Ternary: An Overview of the Radix 3 System. Quaternary: An Overview of the Radix 4 System. Quinary: An Overview of the Radix 5 System. Larger Radix Numbers. Universal and Truncated Applications. Conclusions. Summary. References. Notes. Appendices. Index.

O autorze

Bradley S. Tice is the CEO of Advanced Human Design in Cupertino, California.