Description
There is a fundamental tension at the heart of every statistical
agency mission. Each is charged with collecting high quality data
to inform the national policy and enable statistical research.
This necessitates dissemination of both summary and micro data.
Each is also charged with protecting the confidentiality of
survey respondents. This often necessitates the blurring of the
data to reduce the probability of the re-identification of
individuals. The tradeoff dilemma, which could well be stated as
protecting confidentiality (avoiding disclosure) but optimizing
access, has become more complex as both technological advances
and public perceptions have altered in an information age.
Fortunately, statistical disclosure techniques have kept pace
with these changes. This volume is intended to provide a review
of new state of the art techniques that directly address these
issues from both a theoretical and practical perspective.
It provides a review of new research in the area of
confidentiality and statistical disclosure techniques. A major
section of the book provides an overview of new advances in the
field of both economic and demographic data in measuring
disclosure risk and information loss. It also presents new
information on the different approaches taken by statistical
agencies in disseminating data - ranging from licensing
agreements , to secure access and provides a new survey of what
statistical disclosure techniques are used by statistical
agencies around the world. This is complimented by a series of
chapters on public perceptions of statistical agency actions,
including the results of a new survey on business perceptions.
The book concludes with a chapter on the challenges of technology
to data protection.
National Statistical Agencies, statistical practitioners,
thinktanks, research organisations and universities will find
this a useful tool.
Contents
Introduction.
Disclosure limitation methods in use: results of a survey (F. Felso, J. Theeuwes, G.G. Wagner).
Information Explosion (L. Sweeney).
Disclosure risk assessment (M. Elliot).
Disclosure control methods and information loss for microdata (J. Domingo-Ferrer, V. Torra).
A quantitative comparison of disclosure control methods for microdata (J. Domingo-Ferrer, V. Torra).
Disclosure limitation methods and information loss for tabular data (G.T. Duncan, et al.).
Disclosure risk for tabular economic data (L.H Cox).
Nonperturbative disclosure control methods for tabular data (S. Giessing).
Disclosure limitation in longitudinal linked data (J.M. Abowd, S.D. Woodcock).
Licensing (M.M. Seastrom).
Issues in the establishment and management of secure research sites (T. Dunne).
The potential of confidentiality and attitudes toward data sharing by federal agencies (E. Singer).
The privacy context of survey response: an ethnographic account (E.R. Gerber).
Business perceptions of confidentiality (N. Greenia, J. Bradford Jensen, J. Lane).
Year 2002
Hardbound
ISBN: 0-444-50761-2
462 pages
Included in series
North-Holland Mathematical Library, 64
Description
In this book we study function spaces of low Borel complexity.
Techniques from general topology, infinite-dimensional topology,
functional analysis and descriptive set theory are primarily used
for the study of these spaces. The mix of methods from several
disciplines makes the subject particularly interesting. Among
other things, a complete and self-contained proof of the
Dobrowolski-Marciszewski-Mogilski Theorem that all function
spaces of low Borel complexity are topologically homeomorphic, is
presented.
In order to understand what is going on, a solid background in
infinite-dimensional topology is needed. And for that a fair
amount of knowledge of dimension theory as well as ANR theory is
needed. The necessary material was partially covered in our
previous book `Infinite-dimensional topology, prerequisites and
introduction'. A selection of what was done there can be found
here as well, but completely revised and at many places expanded
with recent results. A `scenic' route has been chosen towards the
Dobrowolski-Marciszewski-Mogilski Theorem, linking the results
needed for its proof to interesting recent research developments
in dimension theory and infinite-dimensional topology.
The first five chapters of this book are intended as a text for
graduate courses in topology. For a course in dimension theory,
Chapters 2 and 3 and part of Chapter 1 should be covered. For a
course in infinite-dimensional topology, Chapters 1, 4 and 5. In
Chapter 6, which deals with function spaces, recent research
results are discussed. It could also be used for a graduate
course in topology but its flavor is more that of a research
monograph than of a textbook; it is therefore more suitable as a
text for a research seminar. The book consequently has the
character of both textbook and a research monograph. In Chapters
1 through 5, unless stated otherwise, all spaces under discussion
are separable and metrizable. In Chapter 6 results for more
general classes of spaces are presented.
In Appendix A for easy reference and some basic facts that are
important in the book have been collected. The book is not
intended as a basis for a course in topology; its purpose is to
collect knowledge about general topology.
The exercises in the book serve three purposes: 1) to test the
reader's understanding of the material 2) to supply proofs of
statements that are used in the text, but are not proven there 3)
to provide additional information not covered by the text.
Solutions to selected exercises have been included in Appendix B.
These exercises are important or difficult.
Contents
Introduction.
Chapter 1. Basic topology. Chapter 2. Basic combinatorial
topology. Chapter 3. Basic dimension theory. Chapter 4. Basic ANR
theory. Chapter 5. Basic infinite-dimensional topology. Chapter 6.
Function spaces. Appendix A. Preliminaries. Appendix B. Answers
to selected exercises. Appendix C. Notes and comments.
Bibliography. Special Symbols. Author Index. Subject Index.
Year 2001 Hardbound
ISBN: 0-444-50557-1
644 pages
Year 2002 Paperback
ISBN: 0-444-50849-X
Description
The main goal of this Handbook is to survey measure theory with
its many different branches and its relations with other areas of
mathematics. Mostly aggregating many classical branches of
measure theory the aim of the Handbook is also to cover new
fields, approaches and applications which support the idea of
"measure" in a wider sense, e.g. the ninth part of the
Handbook. Although chapters are written of surveys in the various
areas they contain many special topics and challenging problems
valuable for experts and rich sources of inspiration.
Mathematicians from other areas as well as physicists, computer
scientists, engineers and econometrists will find useful results
and powerful methods for their research. The reader may find in
the Handbook many close relations to other mathematical areas:
real analysis, probability theory, statistics, ergodic theory,
functional analysis, potential theory, topology, set theory,
geometry, differential equations, optimization, variational
analysis, decision making and others. The Handbook is a rich
source of relevant references to articles, books and lecture
notes and it contains for the reader's convenience an extensive
subject and author index.
Audience
Mathematicians (Researchers, Postgraduate, students) Knowledge
and Artificial Intelligence Engineers Economists (Decision Making)
Contents
Preface
Part 1, Classical measure theory
Part 2, Vector measures
Part 3, Integration theory
Part 4, Topological aspects of measure theory
Part 5, Order and measure theory
Part 6, Geometric measure theory
Part 7, Relation to transformation and duality
Part 8, Relation to the foundations of mathematics
Part 9, Non-additive measures
Year 2002 Hardbound
ISBN: 0-444-50263-7
College de France Seminar Volume XIV
Included in series
Studies in Mathematics and its Applications, 31
Description
This book contains the written versions of lectures delivered
since 1997 in the well-known weekly seminar on Applied
Mathematics at the College de France in Paris, directed by
Jacques-Louis Lions. It is the 14th and last of the series, due
to the recent and untimely death of Professor Lions.
The texts in this volume deal mostly with various aspects of the
theory of nonlinear partial differential equations. They present
both theoretical and applied results in many fields of growing
importance such as Calculus of variations and optimal control,
optimization, system theory and control, operations research,
fluids and continuum mechanics, nonlinear dynamics, meteorology
and climate, homogenization and material science, numerical
analysis and scientific computations
The book is of interest to everyone from postgraduate, who wishes
to follow the most recent progress in these fields.
Audience
Libraries in Mathematical Departments, Institutes of Research in
Pure and Applied Mathematics
Contents
An introduction to critical points for integral functionals (D. Arcoya, L. Boccardo).
A semigroup formulation for electromagnetic waves in dispersive dielectric media (H.T. Banks, M.W. Buksas).
Limite non visqueuse pour les fluides incompressibles axisymetriques (J. Ben Ameur, R. Danchin).
Global properties of some nonlinear parabolic equations (M. Ben-Artzi).
A model for two coupled turbulent flows. Part I: analysis of the system (C. Bernardi, T. Chacon Rebollo, R. Lewandowski, F. Murat).
Determination de conditions aux limites en mer ouverte par une methode de controle optimal (F. Bosseur, P. Orenga).
Effective diffusion in vanishing viscosity (F. Campillo, A. Piatnitski).
Vibration of a thin plate with a "rough" surface (G. Chechkin, D. Cioranescu).
Anisotropy and dispersion in rotating fluids (J.-Y. Chemin, B. Desjardins, I. Gallagher, E. Grenier).
Integral equations and saddle point formulation for scattering problems (F. Collino, B. Despres).
Existence and uniqueness of a strong solution for nonhomogeneous micropolar fluids (C. Conca, R. Gormaz, E. Ortega, M. Rojas).
Homogenization of Dirichlet minimum problems with conductor type periodically distributed constraints (R. De Arcangelis).
Transport of trapped particles in a surface potential (P. Degond).
Diffusive energy balance models in climatology (J.I. Diaz).
Uniqueness and stability in the Cauchy problem for Maxwell and elasticity systems (M. Eller, V. Isakov, G. Nakamura, D. Tataru).
On the unstable spectrum of the Euler equation (S. Friedlander).
Decomposition en profils des solutions de l'equation des ondes semi lineaire critique a l'exterieur d'un obstacle strictement convexe (I. Gallagher, P. Gerard).
Upwind discretizations of a steady grade-two fluid model in two dimensions (V. Girault, L.R. Scott).
Stability of thin layer approximation of electromagnetic waves scattering by linear and non linear coatings (H. Haddar, P. Joly).
Remarques sur la limite 0 pour les fluides de grade 2 (D. Iftimie).
Remarks on the Kompaneets equation, a simplified model of the Fokker-Planck equation (O. Kavian).
Singular perturbations without limit in the energy space. Convergence and computation of the associated layers (D. Leguillon, E. Sanchez-Palencia, C. de Souza).
Optimal design of gradient fields with applications to electrostatics (R. Lipton, A.P. Velo).
A blackbox reduced-basis output bound method for noncoercive linear problems (Y. Maday, A.T. Patera, D.V. Rovas).
Simulation of flow in a glass tank (V. Nefedov, R.M.M. Mattheij).
Control localized on thin structures for semilinear parabolic equations (P.A. Nguyen, J.-P. Raymond).
Stabilite des ondes de choc de viscosite qui peuvent etre caracteristiques (D. Serre).
Year 2002 Hardbound
ISBN: 0-444-51103-2
654 pages
Description
This book provides a comprehensive coverage of the fields
Geometric Modeling, Computer-Aided Design, and Scientific
Visualization, or Computer-Aided Geometric Design. Leading
international experts have contributed, thus creating a one-of-a-kind
collection of authoritative articles. There are chapters
outlining basic theory in tutorial style, as well as application-oriented
articles. Aspects which are covered include:
Historical outline
Curve and surface methods
Scientific Visualization
Implicit methods
Reverse engineering.
This book is meant to be a reference text for researchers in the
field as well as an introduction to graduate students wishing to
get some exposure to this subject.
Audience
Libraries. Graduate students wishing to get some exposure to this
subject.
Contents
Preface.
Contributors.
Chapter 1: A History of Curves and Surfaces in CAGD (G. Farin).
Chapter 2: Geometric Fundamentals (W. Boehm, H. Prautzsch).
Chapter 3: Geometries for CAGD (H. Pottmann, S. Leopoldseder).
Chapter 4: Bezier Techniques (D. Hansford). Chapter 5: Rational
Techniques (H.J. Wolters). Chapter 6: Spline Basics (C. de Boor).
Chapter 7: Curve and Surface Constructions (D. Hansford, G. Farin).
Chapter 8: Geometric Continuity (J. Peters). Chapter 9: Splines
on Surfaces (M. Neamtu). Chapter 10: Box Splines (H. Prautzsch, W.
Boehm). Chapter 11: Finite Element Approximation with Splines (K.
Hoellig). Chapter 12: Subdivision Surfaces (M. Sabin). Chapter 13:
Interrogation of Subdivision Surfaces (M. Sabin). Chapter 14:
Multiresolution Techniques (L. Kobbelt). Chapter 15: Algebraic
Methods for Computer Aided Geometric Design (T.W. Sederberg, J.
Zheng). Chapter 16: Scattered Data Interpolation: Radial Basis
and Other Methods (S.K. Lodha, R. Franke). Chapter 17:
Pythagorean-Hodograph Curves (R.T. Farouki). Chapter 18: Voronoi
Diagrams (K. Sugihara). Chapter 19: The Medial Axis Transform (H.
I. Choi, C. Y. Han). Chapter 20: Solid Modeling (V. Shapiro).
Chapter 21: Parametric Modeling (C. M. Hoffmann, R. Joan-Arinyo).
Chapter 22: Sculptured Surface NC Machining (B. K. Choi, B. H.
Kim, R. B. Jerard). Chapter 23: Cyclides (W. Degen). Chapter 24:
Geometry Processing (T. A. Grandine). Chapter 25: Intersection
Problems (N. M. Patrikalakis, T. Maekawa). Chapter 26: Reverse
Engineering (T. Varady, R. Martin). Chapter 27: Vector and Tensor
Field Visualization (G. Scheuermann, H. Hagen). Chapter 28:
Splines over Triangulations (H-P Seidel, F. Zeilfelder). Chapter
29: Kinematics and Animation (B. Juettler, M. G. Wagner). Chapter
30: Direct Rendering of Freeform Surfaces (G. Elber). Chapter 31:
Modeling and Processing with Quadric Surfaces (W. Wang).
Year 2002 Hardbound
ISBN: 0-444-51104-0
848 pages
Included in series
North-Holland Mathematics Studies, 190
Description
Two distinct systems of hypercomplex numbers in n dimensions are
introduced in this book, for which the multiplication is
associative and commutative, and which are rich enough in
properties such that exponential and trigonometric forms exist
and the concepts of analytic n-complex function, contour
integration and residue can be defined.
The first type of hypercomplex numbers, called polar hypercomplex
numbers, is characterized by the presence in an even number of
dimensions greater or equal to 4 of two polar axes, and by the
presence in an odd number of dimensions of one polar axis. The
other type of hypercomplex numbers exists as a distinct entity
only when the number of dimensions n of the space is even, and
since the position of a point is specified with the aid of n/2-1
planar angles, these numbers have been called planar hypercomplex
numbers.
The development of the concept of analytic functions of
hypercomplex variables was rendered possible by the existence of
an exponential form of the n-complex numbers. Azimuthal angles,
which are cyclic variables, appear in these forms at the
exponent, and lead to the concept of n-dimensional hypercomplex
residue. Expressions are given for the elementary functions of n-complex
variable. In particular, the exponential function of an n-complex
number is expanded in terms of functions called in this book n-dimensional
cosexponential functions of the polar and respectively planar
type, which are generalizations to n dimensions of the sine,
cosine and exponential functions.
In the case of polar complex numbers, a polynomial can be written
as a product of linear or quadratic factors, although it is
interesting that several factorizations are in general possible.
In the case of planar hypercomplex numbers, a polynomial can
always be written as a product of linear factors, although,
again, several factorizations are in general possible.
The book presents a detailed analysis of the hypercomplex numbers
in 2, 3 and 4 dimensions, then presents the properties of
hypercomplex numbers in 5 and 6 dimensions, and it continues with
a detailed analysis of polar and planar hypercomplex numbers in n
dimensions. The essence of this book is the interplay between the
algebraic, the geometric and the analytic facets of the relations.
Audience
University libraries. Libraries of research institutes for
mathematics and physics. Departments of mathematics and physics
of universities. Departments of mathematics and theoretical
physics of research institutes.
Contents
1 Hyperbolic Complex Numbers in Two Dimensions
2 Complex Numbers in Three Dimensions
3 Commutative Complex Numbers in Four Dimensions.
4 Complex Numbers in 5 Dimensions
5 Complex Numbers in 6 Dimensions
6 Commutative Complex Numbers in n Dimensions
Bibliography.
Index
Year 2002 Hardbound
ISBN: 0-444-51123-7
288 pages