Böcker av Bradley S. Tice

The research presented in Aspects of Kolmogorov Complexity addresses the fundamental standard of defining randomness as measured by a Martin-Lof level of randomness as found in random sequential binary strings. A classical study of statistics that addresses both a fundamental standard of statistics as well as an applied measure for statistical communication theory. The research points to compression levels in a random state that are greater than is found in current literature. A historical overview of the field of Kolmogorov Complexity and Algorithmic Information Theory, a subfield of Information Theory, is given as well as examples using a radix 3, radix 4, and radix 5 base numbers for both random and non-random sequential strings. The text also examines monochromatic and chromatic symbols and both theoretical and applied aspects of data compression as they relate to the transmission and storage of information. The appendix contains papers on the subject given at conferences and the references are current.ContentsTechnical topics addressed in Aspects of Kolmogorov Complexity include:* Statistical Communication Theory* Algorithmic Information Theory* Kolmogorov Complexity* Martin-Lof Randomness* Compression, Transmission and Storage of Information

Offers a "deconstruction" of Kurt Godel's Incompleteness Theorem's paradox used to prove that no formal systems of logic or mathematics can exist. The semantic valuation of the "meaning" behind the sentences used for the paradox is challenged and revised using other words that change the very nature of the sentences used in the paradox.

Herbert Hoover was a man of many talents: engineer, successful businessman, President of the United States of America and Elder Political Statesman. Hoover's life experiences shaped his values and these values are embodied in four of his own books: De Re Metallica, Principles of Mining, American Individualism, and The Challenge to Liberty. These four works illuminate his intellectual development. It will be these four works by Hoover that will be examined in the context of his life and his intellectual development.

A compilation of telecommunications papers delivered in the years 1998 and 2000. They deal with general telecommunication theory with a focus on a systems approach.

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.