Erich Novak's Books

Tractability of Multivariate Problems: Linear information

By: Erich Novak,H. Woźniakowski

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Tractability of Multivariate Problems: Linear information

By: Erich Novak,H. Woźniakowski

Multivariate problems occur in many applications. These problems are defined on spaces of $d$-variate functions and $d$ can be huge--in the hundreds or even in the thousands. Some high-dimensional problems can be solved efficiently to within $\varepsilon$, i.e., the cost increases polynomially in $\varepsilon^{-1}$ and $d$. However, there are many multivariate problems for which even the minimal cost increases exponentially in $d$. This exponential dependence on $d$ is called intractability or the curse of dimensionality. This is the first volume of a three-volume set comprising a comprehensive study of the tractability of multivariate problems. It is devoted to tractability in the case of algorithms using linear information and develops the theory for multivariate problems in various settings: worst case, average case, randomized and probabilistic. A problem is tractable if its minimal cost is not exponential in $\varepsilon^{-1}$ and $d$. There are various notions of tractability, depending on how we measure the lack of exponential dependence. For example, a problem is polynomially tractable if its minimal cost is polynomial in $\varepsilon^{-1}$ and $d$. The study of tractability was initiated about 15 years ago. This is the first and only research monograph on this subject. Many multivariate problems suffer from the curse of dimensionality when they are defined over classical (unweighted) spaces. In this case, all variables and groups of variables play the same role, which causes the minimal cost to be exponential in $d$. But many practically important problems are solved today for huge $d$ in a reasonable time. One of the most intriguing challenges of the theory is to understand why this is possible. Multivariate problems may become weakly tractable, polynomially tractable or even strongly polynomially tractable if they are defined over weighted spaces with properly decaying weights. One of the main purposes of this book is to study weighted spaces and obtain necessary and sufficient conditions on weights for various notions of tractability. The book is of interest for researchers working in computational mathematics, especially in approximation of high-dimensional problems. It may be also suitable for graduate courses and seminars. The text concludes with a list of thirty open problems that can be good candidates for future tractability research.

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402

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European Mathematical Society

Published Date

ISBN 10

3037190264

ISBN 13

9783037190265

Tractability of Multivariate Problems: Standard information for functionals

By: Erich Novak,H. Woźniakowski

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Tractability of Multivariate Problems: Standard information for functionals

By: Erich Novak,H. Woźniakowski

This is the second volume of a three-volume set comprising a comprehensive study of the tractability of multivariate problems. The second volume deals with algorithms using standard information consisting of function values for the approximation of linear and selected nonlinear functionals. An important example is numerical multivariate integration. The proof techniques used in volumes I and II are quite different. It is especially hard to establish meaningful lower error bounds for the approximation of functionals by using finitely many function values. Here, the concept of decomposable reproducing kernels is helpful, allowing it to find matching lower and upper error bounds for some linear functionals. It is then possible to conclude tractability results from such error bounds. Tractability results, even for linear functionals, are very rich in variety. There are infinite-dimensional Hilbert spaces for which the approximation with an arbitrarily small error of all linear functionals requires only one function value. There are Hilbert spaces for which all nontrivial linear functionals suffer from the curse of dimensionality. This holds for unweighted spaces, where the role of all variables and groups of variables is the same. For weighted spaces one can monitor the role of all variables and groups of variables. Necessary and sufficient conditions on the decay of the weights are given to obtain various notions of tractability. The text contains extensive chapters on discrepancy and integration, decomposable kernels and lower bounds, the Smolyak/sparse grid algorithms, lattice rules and the CBC (component-by-component) algorithms. This is done in various settings. Path integration and quantum computation are also discussed. This volume is of interest to researchers working in computational mathematics, especially in approximation of high-dimensional problems. It is also well suited for graduate courses and seminars. There are 61 open problems listed to stimulate future research in tractability.

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684

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European Mathematical Society

Published Date

ISBN 10

3037190841

ISBN 13

9783037190845

Doctors

A Novel

By: Erich Segal

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Doctors

A Novel

By: Erich Segal

#1 NEW YORK TIMES BESTSELLER • Writing with all the passion of Love Story and power of The Class, Erich Segal sweeps us into the lives of the Harvard Medical School's class of 1962. His stunning novel reveals the making of doctors—what makes them tick, scheme, hurt . . . and love. From the crucible of med school’s merciless training through the demanding hours of internship and residency to the triumphs—and sometimes tragedies—beyond, Doctors brings to vivid life the men and women who seek to heal but who must first walk through fire. At the novel’s heart is the unforgettable relationship of Barney Livingston and Laura Castellano, childhood friends who separately find unsettling celebrity and unsatisfying love—until their friendship ripens into passion. Yet even their devotion to each other, even their medical gifts may not be enough to save the one life they treasure above all others. Doctors—heartbreaking, witty, inspiring, and utterly, grippingly real—is a vibrant portrait that culminates in a murder, a trial . . . and a miracle.

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689

Publisher

Bantam

Published Date

ISBN 10

0804153221

ISBN 13

9780804153225

Celluloid Mischief

Deviance and Crime on the Silver Screen

By: Erich Goode

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Celluloid Mischief

Deviance and Crime on the Silver Screen

By: Erich Goode

Celluloid Mischief examines the portrayal of wrongdoing and “deviant” behavior in film. The premise is that films are material products of both individual and collective imagination that reflect the values and norms of the society that produce them. On this basis, it is possible to perceive how society understands and classifies particular kinds of behavior and assigns or designates classes of people and actions as “good” or “bad.” So-called “wrongdoing” in movies, then, tells us about real-life norms, the violation of those norms, and the efforts to punish and control the perpetrators of those violators. Motion pictures embody information about the social world; they constitute a universe of raw particulars that await excavation and analysis. By applying the appropriate approach, what happens on the screen can guide us to an understanding of society and culture. Films are commercial products; the people who make them are members of a society, influenced by that society, who attempt to appeal to lots of other members of that society by producing something that they want to see. A society's films tell us a great deal about the taste and proclivities of the society that produce and consume them. Using postwar and contemporary Hollywood cinema as case studies, this book demonstrates the complex and evolving nature of modern America's social, economic, and political values.

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347

Publisher

Taylor & Francis

Published Date

ISBN 10

1000876829

ISBN 13

9781000876826

Anticlastogens in Mammalian and Human Cells

By: Erich Gebhart,Ruben M. Arutyunyan

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Anticlastogens in Mammalian and Human Cells

By: Erich Gebhart,Ruben M. Arutyunyan

Anticlastogens in Mammalian and Human Cells covers research on the protection of chromosomes from the action of chemical mutagens by use of natural and synthetic antimutagens, which, because of their specific action on clastogenic damage are called anticlastogens. Based on an introductory chapter on nature and mode of formation of chromosome aberrations induced by chemical and also physical mutagens, the action of anticlastogens is discussed in detail. A definition and delineation of the term anticlastogenesis is followed by considerations on the various possibilities of classifying anticlastogens. Attention is paid to the action of anticlastogens in mammalian and human cell culture systems, in vivo data on anticlastogens are presented in great detail, as are the actions of anticlastogens on induced sister chromatid exchanges in various test systems. A mainly historical side-glance at the action of anticlastogens on chromosome damage induced by ionizing radiation is taken. The practical consequences of the findings on anticlastogenic action are extensively discussed as aspects of further research.

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133

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642762298

ISBN 13

9783642762291

Anti-Democratic Thought

By: Erich Kofmel

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Anti-Democratic Thought

By: Erich Kofmel

From a historical and cross-cultural perspective it cannot be denied that most democracies failed. Only western democracies for a short while -- from the fall of Soviet communism to the rise of radical Islam -- believed themselves to be invincible. It has therefore become necessary to think about political alternatives once more and to study threats to democracy from within and without as well as common modes of failure of democracy across times and cultures. This book marks the start of a daring new debate and re-introduces anti-democratic thought and practice to the academic discourse and into the syllabus. It wishes to offer a serious discussion of anti-democratic thought, rather than an apology of democracy. 'I am the proponent of a new engagement with anti-democratic thought. This book outlines a positive agenda for the future.' -- Erich Kofmel (Editor). In a comprehensive overview, contributors to this volume discuss theoretical perspectives as well as examples of anti-democratic thought from ancient Greece to modern-day Israel and Bangladesh. A book that grew out of an international workshop on Anti-Democratic Thought organized by the Sussex Centre for the Individual and Society (SCIS) and held at the 2007 annual conference "Workshops in Political Theory" in Manchester, England. 250 pages. PUBLISHER'S ANNOUNCEMENT Imprint Academic and Erich Kofmel I have been coming under pressure for several months on the matter of Imprint Academic's publication of this book edited by Erich Kofmel. Initially this was from an anonymous group calling themselves “For and On Behalf of the Victims of Erich Kofmel”. They wished me to cancel publication of both Imprint Academic's Kofmel volumes, on the grounds that money obtained by [alleged] fraud has been used in their development. My response was (a) I do not deal with anonymous bodies; (b) Erich Kofmel has not yet been found guilty of fraud; (c) I have a contractual obligation not just to the editor of these volumes but to his contributors. That remains essentially my position, although the problem of anonymity seems now to have gone. I have no wish for the reputation of Imprint Academic to be damaged by its association with Erich Kofmel, but neither do I intend to put myself in the wrong by breaking a legal publishing agreement on the basis of unproved allegations. I should perhaps add that Imprint Academic’s contract with Erich Kofmel has not to date involved any money changing hands in either direction. Anthony Freeman Managing Editor, Imprint Academic 17th April 2009

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330

Publisher

Andrews UK Limited

Published Date

ISBN 10

1845408675

ISBN 13

9781845408671

Balances

Instruments, Manufacturers, History

By: Erich Robens,Shanath Amarasiri A. Jayaweera,Susanne Kiefer

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Balances

Instruments, Manufacturers, History

By: Erich Robens,Shanath Amarasiri A. Jayaweera,Susanne Kiefer

The book deals mainly with direct mass determination by means of a conventional balances. It covers the history of the balance from the beginnings in Egypt earlier than 3000 BC to recent developments. All balance types are described with emphasis on scientific balances. Methods of indirect mass determination, which are applied to very light objects like molecules and the basic particles of matter and celestial bodies, are included. As additional guidance, today’s manufacturers are listed and the profile of important companies is reviewed. Several hundred photographs, reproductions and drawings show instruments and their uses. This book includes commercial weighing instruments for merchandise and raw materials in workshops as well as symbolic weighing in the ancient Egyptian’s ceremony of ‘Weighing of the Heart’, the Greek fate balance, the Roman Justitia, Juno Moneta and Middle Ages scenes of the Last Judgement with Jesus or St. Michael and of modern balances. The photographs are selected from the slide-archives of the late Richard Vieweg (1896-1972) (former President of the Physikalisch-Technische Bundesanstalt, Braunschweig, Germany), of the late Hans R. Jenemann (1920-1966) (former head of the Analytical Laboratory of Schott & Gen., Mainz, Germany) and of his wife Irene (1933-2008) and of Erich Robens.

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743

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642364470

ISBN 13

9783642364471

Inequality in Living Standards Since 1980

Income Tells Only a Small Part of the Story

By: Orazio P. Attanasio,Erich Battistin

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Inequality in Living Standards Since 1980

Income Tells Only a Small Part of the Story

By: Orazio P. Attanasio,Erich Battistin

Studies of wage and income inequality among U.S. citizens over the past thirty years have engendered the common wisdom that the rich are getting richer and the poor are getting poorer. But is it really that simple? In Inequality in Living Standards since 1980 the authors contend that the evolution of income and wage inequalities offers only a partial picture of changes in prosperity in recent decades.

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127

Publisher

Government Institutes

Published Date

ISBN 10

0844743666

ISBN 13

9780844743660

NMS Review for the USMLE Clinical Skills Exam

By: Erich A. Arias,Nelly Amador

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NMS Review for the USMLE Clinical Skills Exam

By: Erich A. Arias,Nelly Amador

This fully revised Second Edition offers a complete review for the USMLE Step 2 Clinical Skills (CS) exam. It covers all diseases encountered on the exam and prepares students to interact with patients, take a good medical history, perform a focused physical examination, develop a workup plan, and write an organized patient note. Numerous sample cases and patient notes are included. This edition has new chapters on ethics in primary care; Step 2 cases and medical notes; and trauma medical notes. A new chapter format and design highlights essential information: chief complaint, questions to ask, key points, and workup plan.

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Page Count

330

Publisher

Lippincott Williams & Wilkins

Published Date

ISBN 10

0781766931

ISBN 13

9780781766937

The Soviet Far East

A Survey of its Physical and Economic Geography

By: Erich Thiel

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The Soviet Far East

A Survey of its Physical and Economic Geography

By: Erich Thiel

The Soviet Far East (1957) examines the Soviet economic and political development of the Russian Far East between Lake Baikal and the Pacific, as it gained importance as the geographic base of Soviet power in the Far Eastern theatre of international politics and strategy.

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302

Publisher

Taylor & Francis

Published Date

ISBN 10

104000511X

ISBN 13

9781040005118

Essential Oils

Contact Allergy and Chemical Composition

By: AntonC. deGroot,Erich Schmidt

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Essential Oils

Contact Allergy and Chemical Composition

By: AntonC. deGroot,Erich Schmidt

Essential Oils: Contact Allergy and Chemical Composition provides a full review of contact allergy to essential oils along with detailed analyses of the chemical composition of essential oils known to cause contact allergy. In addition to literature data, this book presents the results of nearly 6,400 previously unpublished sample analyses, by far the largest set of essential oils analyses ever reported in a single source of scientific literature. Covering 91 essential oils and two absolutes, the book presents an alphabetical list of all 4,350 ingredients that have been identified in them, a list of chemicals known to cause contact allergy and allergic contact dermatitis, and tabular indications of the ingredients that can be found in each essential oil. The book discusses contact allergy and allergic contact dermatitis for each of the oils and absolutes, sometimes able to provide only one or two reports but drawing upon considerable amounts of literature in other cases, such as with tea tree oil, ylang-ylang oil, lavender oil, rose oil, turpentine oil, jasmine absolute, and sandalwood oil. While limited information on the main components and their concentrations would be enough for most dermatologists, this book gives extensive coverage not only to improve levels of medical knowledge and quality of patient care, but also for the benefit of professionals beyond clinical study and practice, such as chemists in the perfume and cosmetics industries, perfumers, academic scientists working with essential oils and fragrances, aromatherapists, legislators, and those involved in the production, sale, and acquisition of essential oils.

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1278

Publisher

Routledge

Published Date

ISBN 10

1000434494

ISBN 13

9781000434491

Deterministic and Stochastic Error Bounds in Numerical Analysis

By: Erich Novak

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Deterministic and Stochastic Error Bounds in Numerical Analysis

By: Erich Novak

In these notes different deterministic and stochastic error bounds of numerical analysis are investigated. For many computational problems we have only partial information (such as n function values) and consequently they can only be solved with uncertainty in the answer. Optimal methods and optimal error bounds are sought if only the type of information is indicated. First, worst case error bounds and their relation to the theory of n-widths are considered; special problems such approximation, optimization, and integration for different function classes are studied and adaptive and nonadaptive methods are compared. Deterministic (worst case) error bounds are often unrealistic and should be complemented by different average error bounds. The error of Monte Carlo methods and the average error of deterministic methods are discussed as are the conceptual difficulties of different average errors. An appendix deals with the existence and uniqueness of optimal methods. This book is an introduction to the area and also a research monograph containing new results. It is addressd to a general mathematical audience as well as specialists in the areas of numerical analysis and approximation theory (especially optimal recovery and information-based complexity).

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118

Publisher

Springer

Published Date

ISBN 10

3540459871

ISBN 13

9783540459873

Colposcopy, Cervical Pathology

Textbook and Atlas

By: Erich Burghardt,Hellmuth Pickel,Frank Girardi

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Colposcopy, Cervical Pathology

Textbook and Atlas

By: Erich Burghardt,Hellmuth Pickel,Frank Girardi

A key tool in the fight against cervical cancer, colposcopy has today become a standard gynecologic technique and a must-know area for specialists. Now updated in a third edition, this landmark reference gives you complete instruction in colposcopic procedures, together with the histopathologic background you need to reach an accurate diagnosis. The new edition features more than 500 photographs and illustrations - including 100 images appearing for the first time - as well as new sections on vulvar colposcopy and pathology, papillomavirus infections, loop excisional procedures, and advances in instrumentation. The definitive text in the field, Colposcopy begins with histologic principles and coverage of equipment, training, and examination techniques. It then provides full information on normal and abnormal colposcopic findings and guidelines for differential diagnosis and treatment. Comprehensive and wide-ranging, Colposcopy shows you how to: Make routine exams more effective and accurate through the use of colposcopic screening Conduct an examination with colposcopy and document your results Identify the histologic processes that underlie colposcopic findings Reach the right differential diagnosis and determine the best method of treatment Use colposcopy to detect abnormalities not revealed through standard screening techniques Fully illustrated and based on decades of experience, Colposcopyis an essential resource for anyone performing cervical examinations.

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Page Count

342

Publisher

Thieme

Published Date

ISBN 10

0865776342

ISBN 13

9780865776340

Essays on the Complexity of Continuous Problems

By: Erich Novak,Henryk Woźniakowski

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Essays on the Complexity of Continuous Problems

By: Erich Novak,Henryk Woźniakowski

This book contains five essays on the complexity of continuous problems, written for a wider audience. The first four essays are based on talks presented in 2008 when Henryk Wozniakowski received an honorary doctoral degree from the Friedrich Schiller University of Jena. The focus is on the introduction and history of the complexity of continuous problems, as well as on recent progress concerning the complexity of high-dimensional numerical problems. The last essay provides a brief and informal introduction to the basic notions and concepts of information-based complexity addressed to a general readership.

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112

Publisher

European Mathematical Society

Published Date

ISBN 10

3037190698

ISBN 13

9783037190692

Tractability of Multivariate Problems: Standard information for functionals

By: Erich Novak,H. Woźniakowski

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Tractability of Multivariate Problems: Standard information for functionals

By: Erich Novak,H. Woźniakowski

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684

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European Mathematical Society

Published Date

ISBN 10

3037190841

ISBN 13

9783037190845

Tractability of Multivariate Problems: Standard information for operators

By: Erich Novak,H. Woźniakowski

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Tractability of Multivariate Problems: Standard information for operators

By: Erich Novak,H. Woźniakowski

This is the third volume of a three-volume set comprising a comprehensive study of the tractability of multivariate problems. The third volume deals with algorithms using standard information consisting of function values. Linear and selected nonlinear operators are studied. The most important example studied in volume III is the approximation of multivariate functions. Many other linear and some nonlinear problems are closely related to the approximation of multivariate functions. While the lower bounds obtained in volume I for the class of linear information also yield lower bounds for the standard class of function values, new techniques for upper bounds are presented in volume III. One of the main issues here is to verify when the power of standard information is nearly the same as the power of linear information. In particular, for the approximation problem defined over Hilbert spaces, the power of standard and linear information is the same in the randomized and average case (with Gaussian measures) settings, whereas in the worst case setting this is not true. The book is of interest to researchers working in computational mathematics, especially in approximation of high-dimensional problems. It may be well suited for graduate courses and seminars. The text contains 58 open problems for future research in tractability.

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608

Publisher

Samfundslitteratur

Published Date

ISBN 10

3037191163

ISBN 13

9783037191163

Interferometry XII

Applications : 4-5 August, 2004, Denver, Colorado, USA

By: Wolfgang Osten,Erich Novak

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Interferometry XII

Applications : 4-5 August, 2004, Denver, Colorado, USA

By: Wolfgang Osten,Erich Novak

Proceedings of SPIE present the original research papers presented at SPIE conferences and other high-quality conferences in the broad-ranging fields of optics and photonics. These books provide prompt access to the latest innovations in research and technology in their respective fields. Proceedings of SPIE are among the most cited references in patent literature.

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Page Count

388

Publisher

Society of Photo Optical

Published Date

ISBN 10

0819454702

ISBN 13

9780819454706

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