Data and Knowledge in a Changing World – serie

This book involves application of the Calphad method for derivation of a self­ consistent thermodynamic database for the geologically important system Mg0- Fe0-Fe203-Alz03-Si02 at pressures and temperatures of Earth's upper mantle and the transition zone of that mantle for Earth. The created thermodynamic database reproduces phase relations at 1 bar and at pressures up to 30 GPa. The minerals are modelled by compound energy formalism, which gives realistic descriptions of their Gibbs energy and takes into account crystal structure data. It incorporates a detailed review of diverse types of experimental data which are used to derive the thermodynamic database: phase equilibria, calorimetric stud­ ies, and thermoelastic property measurements. The book also contains tables of thermodynamic properties at 1 bar (enthalpy and Gibbs energy of formation from the elements, entropy, and heat capacity, and equation of state data at pressures from 1 bar to 30 GPa. Mixing parameters of solid solutions are also provided by the book. Table of Contents Introduction to the Series . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . V Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . VII Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . IX Table of Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XI Co-Authors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XIII Vitae of Co-Authors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XV CODATA Task Group on Geothermodynamic Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXIII Chapter 1. Thermodynamics and Modeling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 2 Thermodynamic Modeling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 3 Experimental Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1. 4 Programs and Assessment. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 System and Phases . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1. 5 Chapter 2. Experimental Phase Equilibrium Data . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 The Si02 System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2. 1 2. 2 The Fe-0 System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2. 3 The Fe-Si-0 System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2. 4 The Mg0-Si0 System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Modern achievements in the intensively developing field of applied mathematics are presented in this monograph. In particular, it proposes a new approach to extremal problem theory for nonlinear operators, differential-operator equations and inclusions, and for variational inequalities in Banach spaces. An axiomatic study of nonlinear maps (including multi-valued ones) is given, and the properties of resolving operators for systems, consisting of operator and differential-operator equations, are stated in nonlinear-map terms. The solvability conditions and the properties of extremal problem solutions are obtained, while their weak expansions and necessary conditions of optimality in variational inequality form are formulated. In addition. the monograph proposes regularization methods and approximation schemes. This book is adressed to scientists, graduates and undergraduates who are interested in nonlinear analysis, control theory, system analysis and differential equations.

Physical processes, involving atomic phenomena, allow more and more precise time and frequency measurements. This progress is not possible without convenient processing of the respective raw data. The book describes the data processing at various levels: design of the time and frequency references, characterization of the time and frequency references, applications involving precise time and/or frequency references.The metrological properties stability, accuracy and reproducibility are defined and the processes leading to their characterization are shown. The various aspects of the variance of the frequency fluctuations are discussed and compared and their significance is given.Some major applications of the best frequency and time standards are finally discussed. The way the extreme precision of these sources is used to obtain precise time and position information is shown: Time scales, used to describe every human and physical activities, such as astronomy, physical laws, etc.; Positioning systems, such as GPS; Very long base interferometry (VLBI).

This book offers the foundations of system analysis as an applied scientific methodology assigned for the investigation of complex and highly interdisciplinary problems. It presents the basic definitions and the methodological and theoretical basis of formalization and solution processes in various subject domains. It describes in detail the methods of formalizing the system tasks and reducing them to a solvable form under real-world conditions.

This book involves application of the Calphad method for derivation of a self­ consistent thermodynamic database for the geologically important system Mg0- Fe0-Fe203-Alz03-Si02 at pressures and temperatures of Earth's upper mantle and the transition zone of that mantle for Earth. The created thermodynamic database reproduces phase relations at 1 bar and at pressures up to 30 GPa. The minerals are modelled by compound energy formalism, which gives realistic descriptions of their Gibbs energy and takes into account crystal structure data. It incorporates a detailed review of diverse types of experimental data which are used to derive the thermodynamic database: phase equilibria, calorimetric stud­ ies, and thermoelastic property measurements. The book also contains tables of thermodynamic properties at 1 bar (enthalpy and Gibbs energy of formation from the elements, entropy, and heat capacity, and equation of state data at pressures from 1 bar to 30 GPa. Mixing parameters of solid solutions are also provided by the book. Table of Contents Introduction to the Series . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . V Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . VII Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . IX Table of Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XI Co-Authors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XIII Vitae of Co-Authors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XV CODATA Task Group on Geothermodynamic Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXIII Chapter 1. Thermodynamics and Modeling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 2 Thermodynamic Modeling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 3 Experimental Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1. 4 Programs and Assessment. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 System and Phases . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1. 5 Chapter 2. Experimental Phase Equilibrium Data . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 The Si02 System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2. 1 2. 2 The Fe-0 System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2. 3 The Fe-Si-0 System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2. 4 The Mg0-Si0 System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Physical processes, involving atomic phenomena, allow more and more precise time and frequency measurements. This progress is not possible without convenient processing of the respective raw data. The book describes the data processing at various levels: design of the time and frequency references, characterization of the time and frequency references, applications involving precise time and/or frequency references.The metrological properties stability, accuracy and reproducibility are defined and the processes leading to their characterization are shown. The various aspects of the variance of the frequency fluctuations are discussed and compared and their significance is given.Some major applications of the best frequency and time standards are finally discussed. The way the extreme precision of these sources is used to obtain precise time and position information is shown: Time scales, used to describe every human and physical activities, such as astronomy, physical laws, etc.; Positioning systems, such as GPS; Very long base interferometry (VLBI).

This book offers the foundations of system analysis as an applied scientific methodology assigned for the investigation of complex and highly interdisciplinary problems. It presents the basic definitions and the methodological and theoretical basis of formalization and solution processes in various subject domains. It describes in detail the methods of formalizing the system tasks and reducing them to a solvable form under real-world conditions.

This book is the latest volume in the series entitled " Data and Knowledge in a Changing World ", published by the Committee on Data for Science and Technology (CODATA) of the International Council of Scientific Unions (Icsu). This series was established to collect together, from many diverse fields, the wealth of information pertaining t.o the intelligent exploitation of data in the conduct of science and technology. This volume is the first in a two-volume series that will discuss techniques for the analysis of natural dynamic systems, and their applications to a variety of geophysical problems. The present volume lays out the theoretical foun­ dations for these techniques. The second volume will use these techniques in applications to fields such as seismology, geodynamics, geoelectricity, ge­ omagnetism, aeromagnetics, topography and bathymetry. The book consists of two parts, which describe two complementary ap­ proaches to the analysis of natural systems. The first, written by A. Gvishi­ ani, deals with dynamic pattern recognition. It lays out the mathematical VI Foreword theory and the formalized algorithms that. forms the basis for the classifi­ cation of vector objects and the use of this classification in the study of dynamical systems, with particular emphasis on the prediction of system behavior in space and time. It discusses the construction of classification schemes, and the evaluation of their stability and reliability.

Modern achievements in the intensively developing field of applied mathematics are presented in this monograph. In particular, it proposes a new approach to extremal problem theory for nonlinear operators, differential-operator equations and inclusions, and for variational inequalities in Banach spaces. An axiomatic study of nonlinear maps (including multi-valued ones) is given, and the properties of resolving operators for systems, consisting of operator and differential-operator equations, are stated in nonlinear-map terms. The solvability conditions and the properties of extremal problem solutions are obtained, while their weak expansions and necessary conditions of optimality in variational inequality form are formulated. In addition. the monograph proposes regularization methods and approximation schemes. This book is adressed to scientists, graduates and undergraduates who are interested in nonlinear analysis, control theory, system analysis and differential equations.

This volume contains selected up-to-date professional papers prepared by specialists from various disciplines related to geosciences and water resources. Thirty papers discuss different aspects of environmental data modeling. It provides a forum bringing together contributions, both theoretical and applied, with special attention to Water in Ecosystems, Global Atmospheric Evolution, Space and Earth Remote Sensing, Regional Environmental Changes, Accessing Geoenvironmental Data and Ecotoxicological Issues. "Geosciences and Water Resources: Environmental Data Modeling" is now the fourth volume in the Series "Data and Knowledge in a Changing World". Launched by CODATA after the 14th International Conference of the Committee on Data for Sciences and Technology, in Chambery, the purpose of this new Series is to collect from widely varying fields a wealth of information pertaining to the intelligent exploitation of data in science and technology and to make that information available to a multidisciplinary community. The present series encompasses a broad range of contributions, including computer-related handling and visualization of data, to the major scientific, tech­ nical, medical and social fields. The titles of the previous published volumes are: The Information Revolution: Impact on Science and Technology. Modeling Complex Data for Creating Information. Industrial Information and Design Issues.

J.-P. CALISTE, A. TRUYOL AND J. WESTBROOK The Series, "Data and Knowledge in a Changing World", exemplifies CODATA's primary purpose of collecting, from widely different fields, a wealth of information on efficient exploitation of data for progress in science and technology and making that information available to scientists and engineers. A separate and complementary CODATA Reference Series will present Directories of compiled and evaluated data and Glossaries of data-related terms. The present book "Thermodynamic Modeling and Materials Data Engineering" discusses thermodynamic, structural, systemic and heuristic approaches to the modeling of complex materials behavior in condensed phases, both fluids and solids, in order to evaluate their potential applications. Itwas inspired by the Symposium on "Materials and Structural Properties" held during the 14th International CODATA Conference in Chambery, France. The quality of the contributions to this Symposium motivated us to present" a coherent book of interest to the field. Updated contributions inspired by Symposium discussions and selections from other CODATA workshops concerning material properties data and Computer Aided Design combine to highlight the complexity of material data issues on experimental, theoretical and simulation levels Articles were selected for their pertinence in three areas. Complex data leading to interesting developments and tools such as: • new developments in state equations and their applications, • prediction and validation of physical and energy data by group correlations for pure compounds, • modeling and prediction of mixture properties.

J.-E DUBOIS and N. GERSHON As with Volume 1 in this series, this book was inspired by the Symposium on "Communications and Computer Aided Systems" held at the 14th International CODATA Conference in September 1994 in Chambery, France. This book was conceived and influenced by the discussions at the Symposium and most of the contributions were written following the Conference. Whereas the first volume dealt with the numerous challenges facing the information revolution, especially its communication aspects, this one provides an insight into the recent tools provided by computer science for handling the complex aspects of scientific and technological data. This volume, "Modeling Complex Data for Creating Information," is concerned with real and virtual objects often involved with data handling processes encountered frequently in modeling physical phenomena and systems behavior. Topics concerning modeling complex data for creating information include: • Object oriented approach for structuring data and knowledge • Imprecision and uncertainty in information systems • Fractal modeling and shape and surface processing • Symmetry applications for molecular data The choice of these topics reflects recent developments in information systems technologies. One example is object oriented technology. Recently, research, development and applications have been using object-oriented modeling for computer handling of data and data management. Object oriented technology offers increasingly easy-to-use software applications and operating systems. As a result, science and technology research and applications can now provide more flexible and effective services.

J. -E. DUBOIS and N. GERSHON The first volume of this series, "The Information Revolution: Impact on Science and Technology", emphasized the importance of data sharing and fast communication and the advantages l!)f current hypertext developments in creating new and flexible data access. Volume II, "Modeling Complex Data for Creating Information", dealt, in particular, with the specific constraints of science and technology data including imprecision and uncertainty. It also provided representation and handling tools and object oriented programming technology for developing data systems. The papers presented in this third volume are concerned with the very specific information problems of the technical and competitive industrial world. Here, production and selling rely on creative design, information processing, special up-to­ date data search, knowledge comprehension and fast action, all essential for decision­ making steps. The following topics are discussed in this volume: • Cognition and Recognition in Design • Knowledge Based Systems (KBS) Evaluation • Modeling Tools for Knowledge Discovery • Standards and CAD (Computer Aided Design) Aspects of Industrial Exchange and Specifications • Information Seeking Strategies of Selective Access to Intelligent Information • Special Information Resources: Complex Databases Most of these topics, inspired by the symposium on "Communication and Computer Aided Systems" held during the 14th International CODATA Conference, deal with systemic components used by various up-to-date industries in development strategies.