Author: Narayan C. Giri
Publisher: World Scientific Publishing Company
Keywords: inference, statistical, invariance, group
Number of Pages: 167
Published: 1997-05
List price: $64.00
ISBN-10: 9810218753
ISBN-13: 9789810218751

In applied and pure sciences, the structural properties of groups are increasingly utilised to find better solutions in statistical sciences. Modern computers make statistical methods with large numbers of variables feasible. Invariance is a mathematical term for symmetry, and many statistical problems exhibit such properties. In statistical analysis with large numbers of variables, the invariance approach is becoming increasingly popular and useful because of its ability and usefulness in deriving better statistical procedures. In this book, Multivariate Statistical Inference is pr

Author: Olav Kallenberg
Publisher: Springer
Keywords: probability, applications, principles, invariance, symmetries, probabilistic
Number of Pages: 510
Published: 2005-07-27
List price: $115.00
ISBN-10: 0387251154
ISBN-13: 9780387251158

This is the first comprehensive treatment of the three basic symmetries of probability theory - contractability, exchangeability, and rotatability - defined as invariance in distribution under contractions, permutations, and rotations. Originating with the pioneering work of de Finetti from the 1930’s, the theory has evolved into a unique body of deep, beautiful, and often surprising results, comprising the basic representations and invariance properties in one and several dimensions, and exhibiting some unexpected links between the various symmetries as well as to many other areas of mo

Author: Malte Henkel
Publisher: Springer
Keywords: mathematical, physics, theoretical, phenomena, invariance, critical, conformal
Number of Pages: 417
Published: 1999-05-28
List price: $129.00
ISBN-10: 354065321X
ISBN-13: 9783540653219

This book provides an introduction to conformal field theory and a review of its applications to critical phenomena in condensed-matter systems. After reviewing simple phase transitions and explaining the foundations of conformal invariance and the algebraic methods required, it proceeds to the explicit calculation of four-point correlators. Numerical methods for matrix diagonalization are described as well as finite-size scaling techniques and their conformal extensions. Many exercises are included. Applications treat the Ising, Potts, chiral Potts, Yang-Lee, percolation and XY models, the XX

Authors:Talal A. Debs, Michael L. G. Redhead,
Publisher: Harvard University Press
Keywords: physical, science, symmetry, convention, invariance, objectivity
Number of Pages: 208
Published: 2007-02-15
List price: $46.00
ISBN-10: 067402298X
ISBN-13: 9780674022980

Most observers agree that modern physical theory attempts to provide objective representations of reality. However, the claim that these representations are based on conventional choices is viewed by many as a denial of their objectivity. As a result, objectivity and conventionality in representation are often framed as polar opposites. Offering a new appraisal of symmetry in modern physics, employing detailed case studies from relativity theory and quantum mechanics, Objectivity, Invariance, and Convention contends that the physical sciences, though dependent on convention, may produce

Authors:Ovidiu Carja, Mihai Necula, Ioan I. Vrabie,
Publisher: Elsevier Science
Keywords: holland, mathematics, studies, north, volume, invariance, applications, viability
Number of Pages: 356
Published: 2007-08-01
List price: $135.00
ISBN-10: 0444527613
ISBN-13: 9780444527615

The book is an almost self-contained presentation of the most important concepts and results in viability and invariance. The viability of a set K with respect to a given function (or multi-function) F, defined on it, describes the property that, for each initial data in K, the differential equation (or inclusion) driven by that function or multi-function) to have at least one solution. The invariance of a set K with respect to a function (or multi-function) F, defined on a larger set D, is that property which says that each solution of the differential equation (or inclusion) driven by F and

Authors:Joseph Margolis, Jacques Catudal,
Publisher: Pennsylvania State Univ Pr (Txt)
Keywords: greater, philadelphia, philosophy, consortium, studies, players, invariance, flux, guide, philosphers, quarrel
Number of Pages: 273
Published: 2001-03-01
List price: $29.95
ISBN-10: 0271020652
ISBN-13: 9780271020655

This volume attempts to engage the reader’s active participation in understanding how philosophy came to be split between analytic and continental approaches and in finding ways to reconcile the two. It traces the history of philosophy as a contest between two opposing world views.

Author: Garrison Sposito
Publisher: Cambridge University Press
Keywords: scale, hydrology, dependence, invariance
Number of Pages: 438
Published: 1998-08-13
List price: $166.00
ISBN-10: 0521571251
ISBN-13: 9780521571258

Whether processes in the natural world are dependent or independent of the scale at which they operate is one of the major issues in hydrologic science. In this volume, leading hydrologists present their views on the role of scale effects in hydrologic phenomena occurring in a range of field settings, from the land surface to deep fractured rock. Self-contained and thought-provoking chapters cover both theoretical and applied hydrology. They provide critical insights into important topics such as general circulation models, floods, river networks, vadose zone processes, groundwater transport,