Mathematical problems of control theory : an introduction / G. A. Leonov
Đầu mục:2
Tài liệu số:0This work shows clearly how the study of concrete control systems has motivated the development of the mathematical tools needed for solving such problems. In many cases, by using this apparatus, far-reaching generalizations have been made, and its further development will have an important effect on many fields of mathematics. In the book, a way is demonstrated in which the study of the Watt flyball governor has given rise to the theory of stability of motion. The criteria of controllability, observability, and stabilization are stated. Analysis is made of dynamical systems, which describe an autopilot, spacecraft orientation system, controllers of a synchronous electric machine, and phase-locked loops. The Aizerman and Brockett problems are discussed and an introduction to the theory of discrete control systems is given
Plates, laminates, and shells : asymptotic analysis and homogenization / T. Lewiński, Józef Joachim Telega
Đầu mục:3
Tài liệu số:0This book gives a systematic and comprehensive presentation of the results concerning effective behavior of elastic and plastic plates with periodic or quasiperiodic structure. One of the chapters covers the hitherto available results concerning the averaging problems in the linear and nonlinear shell models. A unified approach to the problems studied is based on modern variational and asymptotic methods, including the methods of variational inequalities as well as homogenization techniques. Duality arguments are also exploited. A significant part of the book deals with problems important for engineering practice, such as: statical analysis of highly nonhomogeneous plates and shells for which common discretization techniques fail to be efficient, assessing stiffness reduction of cracked [00n/900m]s laminates, and assessing ultimate loads for perfectly plastic plates and shells composed of repeated segments. When possible, the homogenization formulas are cast in closed form expressions. The formulas presented in this manner are then used in constructing regularized formulations of the fundamental optimization problems for plates and shells, since the regularization concepts are based on introducing the composite regions for which microstructural properties play the role of new design variables
BCS : 50 years / Leon N. Cooper, D. Ė. Felʹdman (editor)
Đầu mục:3
Tài liệu số:0The BCS theory of superconductivity developed in 1957 by Bardeen, Cooper and Schrieffer has been remarkably successful in explaining the properties of superconductors. In addition, concepts from BCS have been incorporated into diverse fields of physics, from nuclear physics and dense quark matter to the current standard model. Practical applications include SQUIDs, magnetic resonance imaging, superconducting electronics and the transmission of electricity. This invaluable book is a compilation of both a historical account and a discussion of the current state of theory and experiment. With contributions from many prominent scientists, it aims to introduce students and researchers to the origins, the impact and the current state of the BCS theory
An exponential function approach to parabolic equations / Chin-Yuan Lin
Đầu mục:1
Tài liệu số:0This volume is on initial-boundary value problems for parabolic partial differential equations of second order. It rewrites the problems as abstract Cauchy problems or evolution equations, and then solves them by the technique of elementary difference equations. Because of this, the volume assumes less background and provides an easy approach for readers to understand. Contents: Existence Theorems for Cauchy Problems; Existence Theorems for Evolution Equations (I); Linear Autonomous Parabolic Equations; Nonlinear Autonomous Parabolic Equations; Linear Non-autonomous Parabolic Equations; Nonlin
An immaculate misconception : sex in an age of mechanical reproduction / Carl Djerassi
Đầu mục:3
Tài liệu số:0One of the most challenging issues of the 21st century is the impending separation of sex (in bed) and reproduction (under the microscope) as a result of recent advances in contraception and assisted reproduction. Many of the ethical and societal issues associated with these new reproductive technologies, notably intracytoplasmic sperm injection (ICSI), are raised in an unusual format - namely in dialogic form - which is both entertaining and pedagogically informative
Symmetry and topology in chemical reactivity / Pieter E. Schipper
Đầu mục:3
Tài liệu số:0This well-illustrated book develops, using only the ideas of basic quantum chemistry (e.g. perturbation and symmetry theory), a fundamental conceptual and theoretical framework for chemical reactivity. By feeding the role of symmetry and chemical group topology directly into the development, the analysis generates and explains the successful features of simpler reactivity theories (e.g. frontier orbital theory, the isolobal concept, PMO theory, the Woodward-Hoffmann rules), as well as defines their limitations. The unifying construct is that of a group-resolved correlation diagram
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