This new book-the first of its kind-examines the use of algorithmic techniques to compress random and non-random sequential strings found in chains of polymers. The book is an introduction to algorithmic complexity. Examples taken from current research in the polymer sciences are used for compression of like-natured properties as found on a chain of polymers. Both theory and applied aspects of algorithmic compression are reviewed. A description of the types of polymers and their uses is followed by a chapter on various types of compression systems that can be used to compress polymer chains into manageable units. The work is intended for graduate and postgraduate university students in the physical sciences and engineering.

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.

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. Contents Technical 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

The monograph is a 'de-construction' of Kurt Godel's Incompleteness Theorem's paradox sentence's 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. These 'semantic' changes result in new meanings for the sentences used for the paradoxes and forms new interpretations of examining Godel's Incompleteness Theorem as it related to David Hilbert's unifying plan for a Formalized mathematics. The monograph includes an unpublished paper on the reason 'why' behind the writing of this monograph in the Appendix section as well as a copy of my original mathematics dissertation from which this monograph is derived that is also located in the Appendix section of this monograph. The monograph includes a chapter on 'machine intelligence' and is a culmination of my thoughts on language, machines and artificial intelligence as a whole. Technical papers on the subject are included in the Appendix section of this monograph. Content: Abstract, Preface, Introduction, The Incompleteness Theorem, Hilbert's Axiomatic System for Mathematics, Of Two Words, Language and Godel's Theorem, Can Machines Think?, Conclusions, Summary, References, Notes, Appendix and Index.

The Priority Method evolved from theories from first and second language acquisition and child language development. Along with error analysis theories, technical advances in equipment have allowed the Priority Method to offer a complete language diagnostic, analysis and training format. Its significant variation from all previous SLA pedagogy is that it concentrates on areas of weakness, prioritizing common areas of transitional errors from L1 to L2, that commonly occur in the phonetic production and delivery of the ESL student, and focuses on the key areas that have significant sociolinguistic and linguistic effects on the ESL student. Why prioritize errors over other aspects of second language learning? Because errors are the significant areas where the student's self confidence and progress come into play. Because negative aspects in any or all of the above will impede and/or stigmatize the ESL student and can be a major factor in having the student quit.

Many errors are common to each ESL language group, giving that group a preliminary map of errors that can be expected before the student arrives at that point. The specific phonetic area covered will be common consonant and vowel errors in the ESL student. There will be a text, workbook and a tape of which the workbook and tape will interact with each other using the Priority Method and a Learning Loop. The Learning Loop is a term that describes the learning system used to facilitate the correct recognition and production of the English sound pattern. It uses two tape recorders of which one is to play the tape with the exercises on it of a Model of English pronunciation. The second tape recorder is recording both the Model pronunciation and the student's attempt to duplicate the Model of English sound pattern. Because the student hears only those sound patterns that are similar or the same to their L1 language the need to compare their L2 production of English with that of a Model of English will result in a more accurate diagnosis. The potential of this method as a supplement to any language course or program is great as it can be used with any language group and at any level of learning.

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 new book-the first of its kind-examines the use of algorithmic techniques to compress random and non-random sequential strings found in chains of polymers. The book is an introduction to algorithmic complexity. Examples taken from current research in the polymer sciences are used for compression of like-natured properties as found on a chain of polymers. Both theory and applied aspects of algorithmic compression are reviewed. A description of the types of polymers and their uses is followed by a chapter on various types of compression systems that can be used to compress polymer chains into manageable units. The work is intended for graduate and postgraduate university students in the physical sciences and engineering.