2006, XIII, 326 p. 52 illus., Hardcover
ISBN: 0-387-28013-8
About this book
The process of discovery in science and technology may require
investigation of a large number of features, such as factors,
genes or molecules. In Screening, designed experiments and
statistical analyses of the resulting data sets are used to
identify efficiently the few features that determine key
properties of the system under study.
This book brings together accounts by leading international
experts that are essential reading for those working in fields
such as industrial quality improvement, engineering research and
development, genetic and medical screening, drug discovery, and
computer simulation of manufacturing systems or economic models.
Our aim is to promote cross-fertilization of ideas and methods
through detailed explanations, a variety of examples and
extensive references.
Topics cover both physical and computer simulated experiments.
They include screening methods for detecting factors that affect
the value of a response or its variability, and for choosing
between various different response models. Screening for disease
in blood samples, for genes linked to a disease and for new
compounds in the search for effective drugs are also described.
Statistical techniques include Bayesian and frequentist methods
of data analysis, algorithmic methods for both the design and
analysis of experiments, and the construction of fractional
factorial designs and orthogonal arrays.
The material is accessible to graduate and research
statisticians, and to engineers and chemists with a working
knowledge of statistical ideas and techniques. It will be of
interest to practitioners and researchers who wish to learn about
useful methodologies from within their own area as well as
methodologies that can be translated from one area to another.
Table of contents
An Overview of Screening Experiments in Industry, D.C.
Montgomery, C.L. Jennings.- Screening Experiments for Dispersion
Effects, D. Bursztyn, D.M. Steinberg.- Pooling experiments for
blood screening and drug discovery, J. Hughes-Oliver.-
Pharmaceutical drug discovery: hunting the blockbuster drug, D.
Cummins.- Design and Analysis of Screening Experiments with
Microarrays, P. Sebastiani, J. Jeneralczuk, M.F. Ramoni.-
Multiple Comparisons in Screening for Differential Gene
Expressions from Microarray Data, J.C. Hsu, J.Y. Chang, Tao Wang.-
Projection Properties of Factorial Designs for Factor Screening,
Ching-Shui Cheng.- Factor screening via supersaturated designs, S.
Gilmour.- An Overview of Group Factor Screening, M.D. Morris.-
Screening designs for model selection, W. Li.- Prior
distributions for Bayesian analysis of screening experiments, H.
Chipman.- Adaptive Analysis of Orthogonal Saturated Designs, D.T.
Voss, Weizhen Wang.- Finding the important factors in large
discrete-event simulation, J.P.C. Kleijnen, B. Bettonvil, F.
Persson.- Screening the Input Variables to a Computer Model Via
Analysis of Variance and Visualization, M. Schonlau, W.J. Welch.
Series: Science Networks. Historical Studies , Vol. 30/31
2006,
ISBN: 3-7643-7299-0
About this book
This set of books presents an english translation of a 7th
century sanskrit commentary written by an astronomer called
Bhaaskara. There are two volumes:
Volume I contains an introduction and the literal translation.
The introduction aims at providing a general background for the
translation and is divided in three sections: The first locates
Bhaaskara's text, the second looks at its mathematical contents
and the third section analyzes the relations of the commentary
and the translation. Subjects treated range from computing the
volume of an equilateral tetrahedron to the interest on a loaned
capital, from computations on series to an elaborate process to
solve a Diophantine equation.
Volume II contains a commentary for each verse which discusses
the linguistic and mathematical matter exposed by the commentator.
This volume also contains glossaries and the bibliography. The
two volumes should be read simultaneously.
Written for:
Postgraduates and researchers in history of science, people
interested in history of Indian mathematics
Series: Progress in Mathematical Physics , Vol. 41
2006, XI, 166 p., Hardcover
ISBN: 3-7643-7534-5
About this book
The book presents the present status of the mathematical tools
used to deal with problems related to slow rarefied flows, with
particular attention to basic concepts and problems which arise
in the study of micro- and nanomachines. The mathematical theory
of slow flows is presented in a practically complete fashion and
provides a rigorous justification for the use of the linearized
Boltzmann equation, which avoids costly simulations based on
Monte Carlo methods. The book surveys the theorems on validity
and existence, with particular concern for flows close to
equilibria, and discusses recent applications of rarefied
lubrication theory to micro-electro-mechanical systems (MEMS).
Written for:
Graduates, postgraduates and researchers interested in the
mathematical treatment of flows; mathematical physicists
Table of contents
2006, XXII, 231 p. 79 illus., Hardcover
ISBN: 1-84628-264-0
About this book
Systems with delays appear frequently in engineering; typical
examples of time-delay systems are communication networks,
chemical processes and tele-operation systems. The presence of
delays makes system analysis and control design much more
complicated. During the last decade, we have witnessed
significant developments in robust control of time-delay systems.
Robust Control of Time-delay Systems presents a systematic and
comprehensive treatment for robust (H-infinity) control of such
systems in the frequency domain. The emphasis is on systems with
a single input or output delay, although the delay-free part of
the plant can be multi-input-multi-output, in which case the
delays in different channels should be the same.
This synthesis of the authorfs recent work covers the whole
range of robust control of time-delay systems: from controller
parameterization and design to controller implementation; from
the Nehari and one-block problems to the four-block problem; from
theoretical developments to practical issues. The major tools
used in this book are similarity transformation, the chain-scattering
approach and J-spectral factorization. The idea is, in the words
of Albert Einstein, to "make everything as simple as
possible, but not simpler". A website associated with the
book is a source of MATLABR and SimulinkR material which will
assist with simulation and modelling of the material in the text.
Robust Control of Time-delay Systems is self-contained and will
interest control theorists, researchers and mathematicians
working with time-delay systems and engineers looking to design
commercial controllers or to use them in plants or communication
systems with time delays. Its methodical approach will also be of
value to graduates studying either general robust control theory
or its particular applications in time-delay systems.
Table of contents
Introduction.- Part I: Controller Design.- Classical Control of
Time-delay Systems.- Preliminaries.- J-spectral Factorization of
Regular Para-Hermitian Transfer Matrices.- The Delay-type Nehari
Problem.- An Extended Nehari Problem.- The Standard H-Infinity
Problem.- A Transformed Standard H-Infinity Problem.- 2DoF
Controller Parameterization.- Unified Smith Predictor.- Part II:
Controller Implementation.- Discrete-delay Implementation of
Distributed Delay in Control Laws.- Rational Implementation
Inspired from the delta-operator.- Rational Implementation Bases
on the Bilinear Transformation.