Norman Levenberg's Books

The Metric Induced by the Robin Function

By: Norman Levenberg,Hiroshi Yamaguchi

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The Metric Induced by the Robin Function

By: Norman Levenberg,Hiroshi Yamaguchi

This paper continues Yamaguchi's earlier work on the Robin function for bounded domains in [bold]C[italic superscript]n. Yamaguchi showed that if the domain [italic]D is smoothly bounded and pseudoconvex, then the Robin function and its logarithm are both real analytic strongly pseudoconvex exhaustions of the domain. It follows that they may be used as potentials to define Kähler metrics on the domain. In this paper, the authors study the properties of these Kähler metrics, concentrating on the question of completeness. By using an affine scaling technique to blow up the domain at points near the boundary (the scaling constant grows roughly as the inverse of the distance to the boundary), the authors study in some detail the behaviour of the Robin function and the induced metric near the boundary of the domain. They show that if the domain is either strongly pseudoconvex or geometrically convex, then the metric associated to the logarithm of the Robin function is complete. They also conjecture that this is true in general for any smoothly bounded pseudoconvex domain.

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Page Count

169

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821825208

ISBN 13

9780821825204

Robin Functions for Complex Manifolds and Applications

By: Kang-Tae Kim,Norman Levenberg,Hiroshi Yamaguchi

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Robin Functions for Complex Manifolds and Applications

By: Kang-Tae Kim,Norman Levenberg,Hiroshi Yamaguchi

Volume 209, number 984 (third of 5 numbers).

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Page Count

126

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821849654

ISBN 13

9780821849651

Experimental Methods in Kinetic Studies

By: Bohdan Wojciechowski,Norman Rice

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Experimental Methods in Kinetic Studies

By: Bohdan Wojciechowski,Norman Rice

This book is a guide to kinetic studies of reaction mechanisms. It reviews conventional reactor types and data collection methods, and introduces a new methodology for data collection using Temperature Scanning Reactors (TSR). It provides a theoretical and practical approach to temperature scanning (TS) methodology and supports a revival of kinetic studies as a useful approach to the fundamental understanding of chemical reaction mechanisms and the consequential reaction kinetics.·Describes a new patented technology·Of interest to industrial and academic researchers in the fields of kinetics and catalysis·No existing competitor for this title

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Page Count

323

Publisher

Elsevier

Published Date

ISBN 10

0080531369

ISBN 13

9780080531366

Statistical Regression and Classification

From Linear Models to Machine Learning

By: Norman Matloff

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Statistical Regression and Classification

From Linear Models to Machine Learning

By: Norman Matloff

Statistical Regression and Classification: From Linear Models to Machine Learning takes an innovative look at the traditional statistical regression course, presenting a contemporary treatment in line with today's applications and users. The text takes a modern look at regression: * A thorough treatment of classical linear and generalized linear models, supplemented with introductory material on machine learning methods. * Since classification is the focus of many contemporary applications, the book covers this topic in detail, especially the multiclass case. * In view of the voluminous nature of many modern datasets, there is a chapter on Big Data. * Has special Mathematical and Computational Complements sections at ends of chapters, and exercises are partitioned into Data, Math and Complements problems. * Instructors can tailor coverage for specific audiences such as majors in Statistics, Computer Science, or Economics. * More than 75 examples using real data. The book treats classical regression methods in an innovative, contemporary manner. Though some statistical learning methods are introduced, the primary methodology used is linear and generalized linear parametric models, covering both the Description and Prediction goals of regression methods. The author is just as interested in Description applications of regression, such as measuring the gender wage gap in Silicon Valley, as in forecasting tomorrow's demand for bike rentals. An entire chapter is devoted to measuring such effects, including discussion of Simpson's Paradox, multiple inference, and causation issues. Similarly, there is an entire chapter of parametric model fit, making use of both residual analysis and assessment via nonparametric analysis. Norman Matloff is a professor of computer science at the University of California, Davis, and was a founder of the Statistics Department at that institution. His current research focus is on recommender systems, and applications of regression methods to small area estimation and bias reduction in observational studies. He is on the editorial boards of the Journal of Statistical Computation and the R Journal. An award-winning teacher, he is the author of The Art of R Programming and Parallel Computation in Data Science: With Examples in R, C++ and CUDA.

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Page Count

490

Publisher

CRC Press

Published Date

ISBN 10

1498710921

ISBN 13

9781498710923

A Bibliography of Jewish Education in the United States

By: Norman Drachler

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A Bibliography of Jewish Education in the United States

By: Norman Drachler

Entries from thousands of publications whether in English, Hebrew, Yiddish, and German on all aspects of Jewish education from pre-school through secondary education. This book contains entries from thousands of publications whether in English, Hebrew, Yiddish, and German—books, research reports, educational and general periodicals, synagogue histories, conference proceedings, bibliographies, and encyclopedias—on all aspects of Jewish education from pre-school through secondary education

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Page Count

971

Publisher

Wayne State University Press

Published Date

ISBN 10

081434349X

ISBN 13

9780814343494

Tears in the Darkness

The Story of the Bataan Death March and Its Aftermath

By: Michael Norman,Elizabeth M. Norman

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Tears in the Darkness

The Story of the Bataan Death March and Its Aftermath

By: Michael Norman,Elizabeth M. Norman

This major new work about World War II exposes the myths of military heroism as shallow and inadequate. "Tears in the Darkness" makes clear, with great literary and human power, that war causes suffering for people on all sides.

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958

Publisher

Macmillan

Published Date

ISBN 10

0374272603

ISBN 13

9780374272609

Database and Expert Systems Applications

18th International Conference, DEXA 2007, Regensburg, Germany, September 3-7, 2007, Proceedings

By: Norman Revell

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Database and Expert Systems Applications

18th International Conference, DEXA 2007, Regensburg, Germany, September 3-7, 2007, Proceedings

By: Norman Revell

This volume constitutes the refereed proceedings of the 18th International Conference on Database and Expert Systems Applications held in September 2007. Papers are organized into topical sections covering XML, data and information, datamining and data warehouses, database applications, WWW, bioinformatics, process automation and workflow, knowledge management and expert systems, database theory, query processing, and privacy and security.

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Page Count

927

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540744673

ISBN 13

9783540744672

Compact Stars

Nuclear Physics, Particle Physics and General Relativity

By: Norman K. Glendenning

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Compact Stars

Nuclear Physics, Particle Physics and General Relativity

By: Norman K. Glendenning

A whole decades research collated, organised and synthesised into one single book! Following a 60-page review of the seminal treatises of Misner, Thorne, Wheeler and Weinberg on general relativity, Glendenning goes on to explore the internal structure of compact stars, white dwarfs, neutron stars, hybrids, strange quark stars, both the counterparts of neutron stars as well as of dwarfs. This is a self-contained treatment and will be of interest to graduate students in physics and astrophysics as well as others entering the field.

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Page Count

402

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1468404911

ISBN 13

9781468404913

Response Surfaces, Mixtures, and Ridge Analyses

By: George E. P. Box,Norman R. Draper

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Response Surfaces, Mixtures, and Ridge Analyses

By: George E. P. Box,Norman R. Draper

The authority on building empirical models and the fitting of such surfaces to data—completely updated and revised Revising and updating a volume that represents the essential source on building empirical models, George Box and Norman Draper—renowned authorities in this field—continue to set the standard with the Second Edition of Response Surfaces, Mixtures, and Ridge Analyses, providing timely new techniques, new exercises, and expanded material. A comprehensive introduction to building empirical models, this book presents the general philosophy and computational details of a number of important topics, including factorial designs at two levels; fitting first and second-order models; adequacy of estimation and the use of transformation; and occurrence and elucidation of ridge systems. Substantially rewritten, the Second Edition reflects the emergence of ridge analysis of second-order response surfaces as a very practical tool that can be easily applied in a variety of circumstances. This unique, fully developed coverage of ridge analysis—a technique for exploring quadratic response surfaces including surfaces in the space of mixture ingredients and/or subject to linear restrictions—includes MINITAB® routines for performing the calculations for any number of dimensions. Many additional figures are included in the new edition, and new exercises (many based on data from published papers) offer insight into the methods used. The exercises and their solutions provide a variety of supplementary examples of response surface use, forming an extremely important component of the text. Response Surfaces, Mixtures, and Ridge Analyses, Second Edition presents material in a logical and understandable arrangement and includes six new chapters covering an up-to-date presentation of standard ridge analysis (without restrictions); design and analysis of mixtures experiments; ridge analysis methods when there are linear restrictions in the experimental space including the mixtures experiments case, with or without further linear restrictions; and canonical reduction of second-order response surfaces in the foregoing general case. Additional features in the new edition include: New exercises with worked answers added throughout An extensive revision of Chapter 5: Blocking and Fractionating 2k Designs Additional discussion on the projection of two-level designs into lower dimensional spaces This is an ideal reference for researchers as well as a primary text for Response Surface Methodology graduate-level courses and a supplementary text for Design of Experiments courses at the upper-undergraduate and beginning-graduate levels.

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Page Count

880

Publisher

John Wiley & Sons

Published Date

ISBN 10

047007275X

ISBN 13

9780470072752

Applied Regression Analysis

By: Norman R. Draper,Harry Smith

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Applied Regression Analysis

By: Norman R. Draper,Harry Smith

An outstanding introduction to the fundamentals of regression analysis-updated and expanded The methods of regression analysis are the most widely used statistical tools for discovering the relationships among variables. This classic text, with its emphasis on clear, thorough presentation of concepts and applications, offers a complete, easily accessible introduction to the fundamentals of regression analysis. Assuming only a basic knowledge of elementary statistics, Applied Regression Analysis, Third Edition focuses on the fitting and checking of both linear and nonlinear regression models, using small and large data sets, with pocket calculators or computers. This Third Edition features separate chapters on multicollinearity, generalized linear models, mixture ingredients, geometry of regression, robust regression, and resampling procedures. Extensive support materials include sets of carefully designed exercises with full or partial solutions and a series of true/false questions with answers. All data sets used in both the text and the exercises can be found on the companion disk at the back of the book. For analysts, researchers, and students in university, industrial, and government courses on regression, this text is an excellent introduction to the subject and an efficient means of learning how to use a valuable analytical tool. It will also prove an invaluable reference resource for applied scientists and statisticians.

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Page Count

736

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118625684

ISBN 13

9781118625682

The Metric Induced by the Robin Function

By: Norman Levenberg,Hiroshi Yamaguchi

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The Metric Induced by the Robin Function

By: Norman Levenberg,Hiroshi Yamaguchi

This book reveals an interesting connection between classical (Newtonian) potential theory on R2n and the theory of several complex variables on pseudoconvex domains in Cn. The authors bring together many results concerning the Robin function *L associated to the R2n Laplace operator on a pseudoconvex domain in Cn. Using the technique of variation of domains, the second author proved that, under mild regularity assumptions on the domain, -*L and log (-*L) are strictly plurisubharmonic. In addition to providing a new proof of this result, the authors discuss the asymptotics of the Robin function, the relationship between the Laplacian of the Robin function and the Bergman kernel function, and the completeness of the Kahler metric associated to log(-*L). The book is essentially self-contained and should be accessible to those with knowledge of the basic concepts of several complex variables, classical potential theory, and elementary differential geometry.

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Page Count

174

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821861719

ISBN 13

9780821861714

Book's by Norman Levenberg

The Metric Induced by the Robin Function

The Metric Induced by the Robin Function

Robin Functions for Complex Manifolds and Applications

Robin Functions for Complex Manifolds and Applications

Experimental Methods in Kinetic Studies

Experimental Methods in Kinetic Studies

Statistical Regression and Classification

Statistical Regression and Classification

A Bibliography of Jewish Education in the United States

A Bibliography of Jewish Education in the United States

Tears in the Darkness

Tears in the Darkness

Database and Expert Systems Applications

Database and Expert Systems Applications

Compact Stars

Compact Stars

Response Surfaces, Mixtures, and Ridge Analyses

Response Surfaces, Mixtures, and Ridge Analyses

Applied Regression Analysis

Applied Regression Analysis

The Metric Induced by the Robin Function

The Metric Induced by the Robin Function

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