This book is devoted to conservative realizations of various classes of Stieltjes, inverse Stieltjes, and general Herglotz-Nevanlinna functions as impedance functions of linear systems. The main feature of the monograph is a new approach to the realization theory profoundly involving developed extension theory in triplets of rigged Hilbert spaces and unbounded operators as state-space operators of linear systems. The connections of the realization theory to systems with accretive, sectorial, and contractive state-space operators as well as to the Phillips-Kato sectorial extension problem, the Krein-von Neumann and Friedrichs extremal extensions are provided. Among other results the book contains applications to the inverse problems for linear systems with non-self-adjoint Schrödinger operators, Jacobi matrices, and to the Nevanlinna-Pick system interpolation.
Designed for engineers, this work considers flow-induced vibrations. It covers topics such as body oscillators; fluid loading and response of body oscillators; fluid oscillators; vibrations due to extraneously-induced excitation; and vibrations due to instability-induced excitation.
This book presents new developments in the open quantum systems theory with emphasis on applications to the (frequent) measurement theory.In the first part of the book, the uniqueness theorems for the solutions to the restricted Weyl commutation relations braiding unitary groups and semi-groups of contractions are discussed. The major theme involves an intrinsic characterization of the simplest symmetric operator solutions to the Heisenberg uncertainty relations, the problem posed by Jørgensen and Muhly, followed by the proof of the uniqueness theorems for the simplest solutions to the restricted Weyl commutation relations. The detailed study of unitary invariants of the corresponding dissipative and symmetric operators opens up a look at the classical Stone-von Neumann uniqueness theorem from a new angle and provides an extended version of the uniqueness result relating various realizations of a differentiation operator on the corresponding metric graphs.The second part of the book is devoted to mathematical problems of the quantum measurements under continuous monitoring. Among the topics discussed are the complementarity of the Quantum Zeno effect and Exponential Decay scenario in frequent quantum measurements, and a rigorous treatment, within continuous monitoring paradigm, of the celebrated 'double-slit experiment' where the renowned exclusive and interference measurement alternatives approach in quantum theory is presented in a way that is accessible for mathematicians. One of the striking applications of the generalized (1-stable) central limit theorem is the mathematical evidence of exponential decay of unstable states of the quantum pendulum under continuous monitoring.
Eduard Fraenkel was one of the most influential classicists of the twentieth century. His Plautine Elements in Plautus (originally published in German in 1922) revolutionized the study of Roman comedy. This translation makes this seminal work accessible to an English-speaking readership for the first time.
The Creative Conscience as Human Destiny explains how human nature derived from our biogenetic evolution. Whereas human ingenuity and self-realization replicate nature's creativity (its morphogenesis), human conscience epitomizes the integration of organic life (its symbiosis). These mutual processes became incarnate as humanity's creative conscience. Similarly, the co-evolution of man and woman has enabled us to create cultures and civilization. From our intimation of a Supreme Being in nature, human beings have also evolved a supraconscience. By acknowledging the wisdom of nature, we have a philosophy of life for the future.
Produced for the International Association for Hydraulic Research, this monograph covers fluctuating and mean hydrodynamic forces, hydrodynamic forces on high-head gates, and hydrodynamic forces on low-head gates i.e. only the forces induced by flow incident or past the structure.
This new edition of Cartographic Relief Presentation was edited for clarity and consistency but preserves Imhof's insightful commentary and analytical style. Color maps, aerial photographs, and instructive illustrations are faithfully reproduced. The book offers guidelines for properly rendering terrain in maps of all types and scales whether drawn by traditional means or with the aid of a computer. Cartographic Relief Presentation was among the essential mapping and graphical design books of the twentieth century. Its continuing relevance for the twenty-first century is assured with this publication."--BOOK JACKET.
For the period between World War II and the full onset of the Cold War, histories of American intelligence seem to go dark. Yet in those years a little known clandestine organization, the Strategic Services Unit (SSU), emerged from the remnants of wartime American intelligence to lay the groundwork for what would become the CIA and, in ways revealed here for the first time, conduct its own secret war of espionage and political intrigue in postwar Europe. Telling the full story of this early and surprisingly effective espionage arm of the United States, Spying through a Glass Darkly brings a critical chapter in the history of Cold War intelligence out of the shadows. Constrained by inadequate staff and limited resources, distracted by the conflicting demands of agencies of the U.S. government, and victimized by disinformation and double agents, the Strategic Services Unit struggled to maintain an effective American clandestine capability after the defeat of the Axis Powers. Never viscerally anti-communist, the Strategic Services Unit was slow to recognize the Soviet Union as a potential threat, but gradually it began to mount operations, often in collaboration with the intelligence services of Britain, France, Italy, Denmark, and Sweden, to throw light into the darker corners of the Soviet regime. Bringing to bear a wealth of archival documents, operational records, interviews, and correspondence, David Alvarez and Eduard Mark chronicle SSU’s successes and failures in procuring intelligence on the capabilities and intentions of the Soviet Union, a chronicle that delves deeply into the details of secret operations against Soviet targets throughout Europe: not only in the backstreets of the divided cities of Berlin and Vienna, but also the cafes, hotels, offices, and salons of such cosmopolitan capitals as Paris, Rome, Budapest, Prague, and Warsaw. A remarkable account of a clandestine war of espionage, kidnappings, blackmail, disinformation, and political subversion, Spying through a Glass Darkly also describes the quantity and quality of intelligence collected by SSU and disseminated to its “customers” in the U.S. government—information that would influence the attitudes and actions of decision makers and, as the Cold War evolved, the course of the nation in a new and dangerous world.
Despite their variety, the vibration phenomena from many different engineering fields can be classified into a relatively few basic excitation mechanisms. The classification enables engineers to identify all possible sources of excitation in a given system and to assess potential dangers. This graduate-level text presents a synthesis of research results and practical experience from disparate fields in the form of engineering guidelines. It is particularly geared toward assessing the possible sources of excitation in a flow system, in identifying the actual danger spots, and in finding appropriate remedial measures or cures. Flow-induced vibrations are presented in terms of their basic elements: body oscillators, fluid oscillators, and sources of excitation. By stressing these basic elements, the authors provide a basis for the transfer of knowledge from one system to another, as well as from one engineering field to another. In this manner, well-known theories on cylinders in cross-flow or well-executed solutions from the field of wind engineering--to name just two examples--may be useful in other systems or fields on which information is scarce. The unified approach is broad enough to permit treatment of the major excitation mechanism, yet simple enough to be of practical use.
An Introduction to Numerical Mathematics provides information pertinent to the fundamental aspects of numerical mathematics. This book covers a variety of topics, including linear programming, linear and nonlinear algebra, polynomials, numerical differentiation, and approximations. Organized into seven chapters, this book begins with an overview of the solution of linear problems wherein numerical mathematics provides very effective algorithms consisting of finitely many computational steps. This text then examines the method for the direct solution of a definite problem. Other chapters consider the determination of frequencies in freely oscillating mechanical or electrical systems. This book discusses as well eigenvalue problems for oscillatory systems of finitely many degrees of freedom, which can be reduced to algebraic equations. The final chapter deals with the approximate representation of a function f(x) given by I-values as in the form of a table. This book is a valuable resource for physicists, mathematicians, theoreticians, engineers, and research workers.
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