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204 tulosta hakusanalla Toufik Ftaita

Combinatorics of Set Partitions

Combinatorics of Set Partitions

Toufik Mansour

TAYLOR FRANCIS LTD
2024
nidottu
Focusing on a very active area of mathematical research in the last decade, Combinatorics of Set Partitions presents methods used in the combinatorics of pattern avoidance and pattern enumeration in set partitions. Designed for students and researchers in discrete mathematics, the book is a one-stop reference on the results and research activities of set partitions from 1500 A.D. to today.Each chapter gives historical perspectives and contrasts different approaches, including generating functions, kernel method, block decomposition method, generating tree, and Wilf equivalences. Methods and definitions are illustrated with worked examples and Maple™ code. End-of-chapter problems often draw on data from published papers and the author’s extensive research in this field. The text also explores research directions that extend the results discussed. C++ programs and output tables are listed in the appendices and available for download on the author’s web page.
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Combinatorics of Set Partitions

Combinatorics of Set Partitions

Toufik Mansour

Taylor Francis Inc
2012
sidottu
Focusing on a very active area of mathematical research in the last decade, Combinatorics of Set Partitions presents methods used in the combinatorics of pattern avoidance and pattern enumeration in set partitions. Designed for students and researchers in discrete mathematics, the book is a one-stop reference on the results and research activities of set partitions from 1500 A.D. to today.Each chapter gives historical perspectives and contrasts different approaches, including generating functions, kernel method, block decomposition method, generating tree, and Wilf equivalences. Methods and definitions are illustrated with worked examples and Maple™ code. End-of-chapter problems often draw on data from published papers and the author’s extensive research in this field. The text also explores research directions that extend the results discussed. C++ programs and output tables are listed in the appendices and available for download on the author’s web page.
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Commutation Relations, Normal Ordering, and Stirling Numbers

Commutation Relations, Normal Ordering, and Stirling Numbers

Toufik Mansour; Matthias Schork

CRC Press Inc
2015
sidottu
Commutation Relations, Normal Ordering, and Stirling Numbers provides an introduction to the combinatorial aspects of normal ordering in the Weyl algebra and some of its close relatives. The Weyl algebra is the algebra generated by two letters U and V subject to the commutation relation UV - VU = I. It is a classical result that normal ordering powers of VU involve the Stirling numbers. The book is a one-stop reference on the research activities and known results of normal ordering and Stirling numbers. It discusses the Stirling numbers, closely related generalizations, and their role as normal ordering coefficients in the Weyl algebra. The book also considers several relatives of this algebra, all of which are special cases of the algebra in which UV - qVU = hVs holds true. The authors describe combinatorial aspects of these algebras and the normal ordering process in them. In particular, they define associated generalized Stirling numbers as normal ordering coefficients in analogy to the classical Stirling numbers. In addition to the combinatorial aspects, the book presents the relation to operational calculus, describes the physical motivation for ordering words in the Weyl algebra arising from quantum theory, and covers some physical applications.
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Design Pattern Formalization Techniques

Design Pattern Formalization Techniques

Toufik Taibi

IGI Publishing
2007
sidottu
Many formal approaches for pattern specification are emerging as a means to cope with the inherent shortcomings of informal description. Design Pattern Formalization Techniques presents multiple mathematical, formal approaches for pattern specification, emphasizing on software development processes for engineering disciplines.Design Pattern Formalization Techniques focuses on formalizing the solution element of patterns, providing tangible benefits to pattern users, researchers, scholars, academicians, practitioners and students working in the field of design patterns and software reuse. Design Pattern Formalization Techniques explains details on several specification languages, allowing readers to choose the most suitable formal technique to solve their specific inquiries.
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Model-Based Control Techniques for Turbomachinery

Model-Based Control Techniques for Turbomachinery

Toufik Bentaleb; Andrea Garulli

LAP Lambert Academic Publishing
2018
pokkari
The general topic of the present book is control of turbomachinery. In particular, it deals with modeling and control techniques for variable speed centrifugal gas compression systems. The main objective of the study, presented in this book, is to design and implement multivariable controllers that regulate the centrifugal gas compressor and minimize fuel consumption of the gas turbine. In particular, the first aim is to design a multivariable controller that regulates the compressor discharge pressure as faster as possible, while preventing surge, by acting on the rotation speed, the inlet guide vanes and the anti surge valve. A further contribution, is the development of a control system that minimizes fuel consumption of the gas turbine at steady state.
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