Cellular Automata, Mainframes, Maple, Mathematica and Computer Science in Tallinn Research Group, Aladjev V., 2022

Cellular Automata, Mainframes, Maple, Mathematica and Computer Science in Tallinn Research Group, Aladjev V., 2022.

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The chapter presents our developments in the field of programming of various kinds of applied projects both for mainframes and for personal computers. At the same time, it should be borne in mind that work in this field was often interspersed with our study on cellular automata theory (homogeneous structures), focusing on one or another aspect, depending on the emerging at that time circumstances.

Cellular Automata, Mainframes, Maple, Mathematica and Computer Science in Tallinn Research Group, Aladjev V., 2022


Special courses and books edition on computer science.
In addition to this, along with the development of application and system software for mainframes and PCs, accompanied, as necessary, by the preparation and publication of relevant manuals and books, we published the reference books and special book publications related to some aspects of the computer technology used by us. In addition, in order to provide universities with educational material, we have prepared and published books on computer science, programming languages, statistics and some other university disciplines.

So, book [29] describes the basics of working with mass service software (MSS) – utilities. More than 160 PCs utilities are described (including a number of our tools) compatible with IBM PC/XT/AT and PS/2, which are designed to implement such important procedures as virus detection and their neutralization; maintenance of disk file structures expansion of capabilities of monitor, keyboard, printers and disk devices; information and reference; PC operation administration; file archiving and protection against unauthorized access; computational process control; diagnostics and testing of the main components of the PCs system; intercomputer communication. Many of the utilities described were the best or some of the best tools at that time of this type. Given the importance of this type of tools for any PC user, the book appeared at that time undoubtedly was useful for students on the course "Fundamentals of computer science and computing" as well as for all PC users.

CONTENTS.
INTRODUCTION.
CHAPTER 1: Mainframes and Personal Computers.
1.1. System and applied programming on mainframes.
1.2. System and applied programming on personal computers.
1.3. Special courses and books edition on computers.
CHAPTER 2: Computer Mathematics Systems.
2.1. Background of interest in these issues.
2.2. Computer mathematics system Mathematica.
2.3. Computer mathematics system Maple.
CHAPTER 3: Mathematical Developmental Biology.
3.1. General prerequisites.
3.2. Discrete modeling in developmental biology.
3.3. The French Flag Problem.
3.4. The Limited Growth Problem.
CHAPTER 4: Certain Mathematical Problems.
4.1. The H. Steinhaus combinatorial problem.
4.2. The S. Ulam problem from number theory.
4.3. An algebraic system for polynomial representation of the a–valued logical functions.
CHAPTER 5: Cellular Automata (Homogeneous Structures).
5.1. Basic concepts of classical cellular automata.
5.2. The nonсonstructability problem in classical cellular automata.
5.3. Extreme design capabilities of classical cellular automata.
5.4. The complexity problem of finite configurations in classical cellular automata.
5.5. Parallel formal grammars and languages defined by the classical cellular automata (CA–models).
5.6. Modeling problem in classical cellular automata and certain related issues.
5.7. The decomposition problem of global transition functions in classical cellular automata (CA–models).
5.8. The main stages of cellular automata theory formation.
CONCLUSION.
REFERENCES.
ABOUT THE AUTHOR.



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