Exponential Distribution

Exponential Distribution
Author: K. Balakrishnan
Publisher: Routledge
Total Pages: 414
Release: 2019-01-22
Genre: Mathematics
ISBN: 1351449117

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The exponential distribution is one of the most significant and widely used distribution in statistical practice. It possesses several important statistical properties, and yet exhibits great mathematical tractability. This volume provides a systematic and comprehensive synthesis of the diverse literature on the theory and applications of the expon

Applied Automata Theory

Applied Automata Theory
Author: Julius T. Tou
Publisher: Academic Press
Total Pages: 343
Release: 2013-10-22
Genre: Technology & Engineering
ISBN: 1483225194

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Applied Automata Theory provides an engineering style of presentation of some of the applied work in the field of automata theory. Topics covered range from algebraic foundations and recursive functions to regular expressions, threshold logic, and switching circuits. Coding problems and stochastic processes are also discussed, along with content addressable memories, probabilistic reliability, and Turing machines. Much emphasis is placed on engineering applications. Comprised of nine chapters, this book first deals with the algebraic foundations of automata theory, focusing on concepts such as semigroups, groups and homomorphisms, and partially ordered sets and lattices, as well as congruences and other relations. The reader is then introduced to regular expressions; stochastic automata and discrete systems theory; and switching networks as models of discrete stochastic processes. Subsequent chapters explore applications of automata theory in coding; content addressable and distributed logic memories; recursive functions and switching-circuit theory; and synthesis of a cellular computer. The book concludes with an assessment of the fundamentals of threshold logic. This monograph is intended for graduates or advanced undergraduates taking a course in information science or a course on discrete systems in modern engineering curriculum.

Nuclear Science Abstracts

Nuclear Science Abstracts
Author:
Publisher:
Total Pages: 1066
Release: 1956
Genre: Nuclear energy
ISBN:

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Digital Computer User's Handbook

Digital Computer User's Handbook
Author: Melvin Klerer
Publisher:
Total Pages: 956
Release: 1967
Genre: Computers
ISBN:

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Compendium of digital computer procedures - covers systems design, language functions, simulation, mathematical analysis and statistical methodologies, information storage and retrieval (supply) systems, linear programming, etc., and includes a glossary of sorting and merging terms, a list of computer equipment together with characteristics thereof and a directory of firms of the electronics industry manufacturing computers. Bibliographys and references after each chapter.

Applications of Number Theory to Numerical Analysis

Applications of Number Theory to Numerical Analysis
Author: S. K. Zaremba
Publisher: Academic Press
Total Pages: 504
Release: 2014-05-10
Genre: Mathematics
ISBN: 1483265161

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Applications of Number Theory to Numerical Analysis contains the proceedings of the Symposium on Applications of Number Theory to Numerical Analysis, held in Quebec, Canada, on September 9-14, 1971, under the sponsorship of the University of Montreal's Center for Research in Mathematics. The symposium provided a forum for discussing number theory and its applications to numerical analysis, tackling topics ranging from methods used in estimating discrepancy to the structure of linear congruential sequences. Comprised of 17 chapters, this book begins by considering some combinatorial problems studied experimentally on computing machines. The discussion then turns to experiments on optimal coefficients; a distribution problem in finite sets; and the statistical interdependence of pseudo-random numbers generated by the linear congruential method. Subsequent chapters deal with lattice structure and reduced bases of random vectors generated by linear recurrences; modulo optimization problems and integer linear programming; equivalent forms of zero-one programs; and number theoretic foundations of finite precision arithmetic. This monograph will be of interest to students and practitioners in the field of applied mathematics.

Statistical Computing in C++ and R

Statistical Computing in C++ and R
Author: Randall L. Eubank
Publisher: CRC Press
Total Pages: 558
Release: 2011-12-01
Genre: Mathematics
ISBN: 1420066501

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With the advancement of statistical methodology inextricably linked to the use of computers, new methodological ideas must be translated into usable code and then numerically evaluated relative to competing procedures. In response to this, Statistical Computing in C++ and R concentrates on the writing of code rather than the development and study of numerical algorithms per se. The book discusses code development in C++ and R and the use of these symbiotic languages in unison. It emphasizes that each offers distinct features that, when used in tandem, can take code writing beyond what can be obtained from either language alone. The text begins with some basics of object-oriented languages, followed by a "boot-camp" on the use of C++ and R. The authors then discuss code development for the solution of specific computational problems that are relevant to statistics including optimization, numerical linear algebra, and random number generation. Later chapters introduce abstract data structures (ADTs) and parallel computing concepts. The appendices cover R and UNIX Shell programming. Features Includes numerous student exercises ranging from elementary to challenging Integrates both C++ and R for the solution of statistical computing problems Uses C++ code in R and R functions in C++ programs Provides downloadable programs, available from the authors’ website The translation of a mathematical problem into its computational analog (or analogs) is a skill that must be learned, like any other, by actively solving relevant problems. The text reveals the basic principles of algorithmic thinking essential to the modern statistician as well as the fundamental skill of communicating with a computer through the use of the computer languages C++ and R. The book lays the foundation for original code development in a research environment.

Mathematics of Computation

Mathematics of Computation
Author:
Publisher:
Total Pages: 1008
Release: 1971
Genre: Electronic journals
ISBN:

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Original articles on all aspects of numerical mathematics, book reviews, mathematical tables, and technical notes. Covers advances in numerical analysis, application of computer methods, high speed calculating, and other aids to computation.