الصفحة 8
الصفحة 8
Applied Proof Theory : Proof Interpretations and Their Use in Mathematics
Ulrich Kohlenbach presents an applied form of proof theory that has led in recent years to new results in number theory, approximation theory, nonlinear analysis, geodesic geometry and ergodic theory (among others). This applied approach is based on logical transformations (so-called proof interpretations) and concerns the extraction of effective data (such as bounds) from prima facie ineffective proofs as well as new qualitative results such as independence of solutions from certain parameters, generalizations of proofs by elimination of premises. The book first develops the necessary logical machinery emphasizing novel forms of Gödel's famous functional ('Dialectica') interpretation. It then establishes general logical metatheorems that connect these techniques with concrete mathematics. Finally, two extended case studies (one in approximation theory and one in fixed point theory) show in detail how this machinery can be applied to concrete proofs in different areas of mathematics.
Ancient monuments and modern identities : A critical history of archaeology in 19th and 20th century Greece
Sets out to examine the role of archaeology in the creation of ethnic, national and social identities in 19th and 20th century Greece. The essays included in this volume examine the development of interpretative and methodological principles guiding the recovery, protection and interpretation of material remains and their presentation to the public. The role of archaeology is examined alongside prevailing perceptions of the past, and is thereby situated in its political and ideological context. The book is organized chronologically and follows the changing attitudes to the past during the formation, expansion and consolidation of the Modern Greek State. The aim of this volume is to examine the premises of the archaeological discipline, and to apply reflection and critique to contemporary archaeological theory and practice.
Analytical Techniques in Forensic Science
Analytical Techniques in Forensic Science is a comprehensive guide written in accessible terms that examines the interface between analytical chemistry and trace evidence in forensic science. With contributions from noted experts on the topic, the text features a detailed introduction analysis in forensic science and then subsequent chapters explore the laboratory techniques grouped by shared operating principles. For each technique, the authors incorporate specific theory, application to forensic analytics, interpretation, forensic specific developments, and illustrative case studies.
Analysis file of drug-induced lung injury : expert opinion for analysis of big data
Describes the pathologic conditions of drug-induced lung injuries, monitoring strategies, and guides on how to interpret the evidence. It also dives into particular drugs that caused the disorder, such as EGFR inhibitors, anti-EGFR antibodies, mTOR inhibitors, proteasome inhibitors, immune checkpoint inhibitors, neoangiogenesis inhibitors, and other molecular targeted drugs. It outlines the analysis and interpretation of the post-marketing survey on surveillance of each drug for inducing pulmonary lesions presenting diffuse haziness. The data and analysis from this survey are valuable since a guideline is yet to be established due to limited clinical evidence and cases. As new drugs are developed, establishing treatment and event management is crucial.
An Introduction to the Relativistic Theory of Gravitation
The geometric interpretation of gravitation is one of the major foundations of modern theoretical physics. This primer introduces classical general relativity with emphasis on the clarity of conceptual structure and on the basic mathematical methods to build up systematically application skills. The wealth of physical phenomena entailed by the Einstein‘s equations is revealed with the help of specific models describing gravitomagnetism, gravitational waves, cosmology, gravitational collapse and black holes. End-of-chapter exercises complete the main text.
Alvar Aalto and the future of architecture
Exposes dialogue between history, theory, design, construction, technology, and sensory experience by means of digital simulations that enhance the assessment and values of our material choices. It offers a critical look to the past to inspire the future. This new edition looks to Alvar Aalto as the primary protagonist for channeling discussions related to these topics. Architects like ALA, Shigeru Ban, 3XN, Peter Zumthor, and others also play the role of contemporary guides in this review. The work of Aalto and selected contemporary architects, along with computer modeling software, showcase the importance of comprehensive design.
Algorithms in Bioinformatics : Theory and Implementation
Explores a comprehensive and insightful treatment of the practical application of bioinformatic algorithms in a variety of fields. Delivers a fulsome treatment of some of the main algorithms used to explain biological functions and relationships. It introduces readers to the art of algorithms in a practical manner which is linked with biological theory and interpretation. The book covers many key areas of bioinformatics, including global and local sequence alignment, forced alignment, detection of motifs, Sequence logos, Markov chains or information entropy. Other novel approaches are also described, such as Self-Sequence alignment, Objective Digital Stains (ODSs) or Spectral Forecast and the Discrete Probability Detector (DPD) algorithm. Readers will also benefit from the inclusion of: A detailed presentation of new methods, such as Self-sequence alignment, Objective Digital Stains and Spectral Forecast ; A treatment of sequence alignment, including local sequence alignment, global sequence alignment and forced sequence alignment with full implementations ; Discussions of position-specific weight matrices, including the count, weight, relative frequencies, and log-likelihoods matrices ; A detailed presentation of the methods related to Markov Chains as well as a description of their implementation in Bioinformatics and adjacent fields ; An examination of information and entropy, including sequence logos and explanations related to their meaning ; A chapter on philosophical transactions that allows the reader a broader view of the prediction process ; Extensive worked examples with detailed case studies that point out the meaning of different results
Advances in Mass Data Analysis of Signals and Images in Medicine, Biotechnology and Chemistry ; International Conference, MDA 2006/2007, Leipzig, Germany, July 18, 2007, Selected Papers
The automatic analysis of images and signals in medicine, biotechnology, and chemistry is a challenging and demanding field. Signal-producing procedures by microscopes, spectrometers, and other sensors have found their way into wide fields of medicine, biotechnology, economy, and environmental analysis. With this arises the problem of the automatic mass analysis of signal information. Signal-interpreting systems which generate automatically the desired target statements from the signals are therefore of compelling necessity. The continuation of mass analyses on the basis of classical procedures leads to investments of proportions that are not feasible. New procedures and system architectures are therefore required. The goals of this: Provide a forum for identifying important contributions and opportunities for research on mass data analysis on microscopic images Promote the systematic study of how to apply automatic image analysis and interpretation procedures to that field Show case applications of mass data analysis in biology, medicine, and chemistry Topics of interest include (but are not limited to): Techniques and developments of signal and image producing procedures Object matching and object tracking in microscopic and video microscopic images 1D, 2D, and 3D shape analysis and description
Advances in Intelligent Web Mastering ; Proceedings of the 5th Atlantic Web Intelligence Conference – WIC’2007, Fontainebleau, France, June 25 – 27, 2007
Mastering and effective exploration of the web environment needs new ideas, adaptation of known methods as well as application of sophisticated and robust technical implementations. Among new research directions present in relation to Web applications, a remarkable place is occupied by intelligent methods defining the topic of soft computing. This edited book includes reports from the front of diverse fields of the Web: application of artificial intelligence, design, information retrieval and interpretation, user profiling, security, engineering, etc. The material has been presented at the 5th Atlantic Web Intelligence Conference – AWIC’2007 held in Fontainbleau (France) and organized by Esigetel, Technical University of Lodz, and Polish Academy of Sciences.
Advances and applications of DSmT for information fusion: Collected works ; Vol.3
One of the most comprehensive and flexible fusion theory based on belief functions. It can work in all fusion spaces: power set, hyper-power set, and super-power set, and has various fusion and conditioning rules that can be applied depending on each application. Some new generalized rules are introduced in this volume with codes for implementing some of them. For the qualitative fusion, the DSm Field and Linear Algebra of Refined Labels (FLARL) is proposed which can convert any numerical fusion rule to a qualitative fusion rule. When one needs to work on a refined frame of discernment, the refinement is done using Smarandache s algebraic codification. New interpretations and implementations of the fusion rules based on sampling techniques and referee functions are proposed, including the probabilistic proportional conflict redistribution rule.
Advances and applications of DSmT for information fusion ; Vol. 4
One of the most comprehensive and flexible fusion theory based on belief functions. It can work in all fusion spaces: power set, hyper-power set, and super-power set, and has various fusion and conditioning rules that can be applied depending on each application. Some new generalized rules are introduced in this volume with codes for implementing some of them. For the qualitative fusion, the DSm Field and Linear Algebra of Refined Labels (FLARL) is proposed which can convert any numerical fusion rule to a qualitative fusion rule. When one needs to work on a refined frame of discernment, the refinement is done using Smarandache s algebraic codification. New interpretations and implementations of the fusion rules based on sampling techniques and referee functions are proposed, including the probabilistic proportional conflict redistribution rule.
Advanced structural mechanics : An introduction to continuum mechanics and structural mechanics
In recent years an increasing emphasis has been placed on numerically based methods of structural analysis. This has been reflected in the production of structural mechanics texts that are orientated towards particular numerical methodologies, especially the finite element method. Whilst this approach serves the needs of potential research' engineers, a concentration on the numerical analysis aspects of structural mechanics is of less relevance to professional' engineers, who are likely to be concerned with the use and interpretation of numerical analyses, but not in the development of the methodologies.
Advanced Quantum Mechanics
Advanced Quantum Mechanics, the second volume on quantum mechanics by Franz Schwabl, discusses nonrelativistic multi-particle systems, relativistic wave equations and relativistic fields. Characteristic of Schwabl’s work, this volume features a compelling mathematical presentation in which all intermediate steps are derived and where numerous examples for application and exercises help the reader to gain a thorough working knowledge of the subject. The treatment of relativistic wave equations and their symmetries and the fundamentals of quantum field theory lay the foundations for advanced studies in solid-state physics, nuclear and elementary particle physics. This text extends and complements Schwabl’s introductory Quantum Mechanics, which covers nonrelativistic quantum mechanics and offers a short treatment of the quantization of the radiation field. New material has been added to this third edition of Advanced Quantum Mechanics on Bose gases, the Lorentz covariance of the Dirac equation, and the ‘hole theory’ in the chapter "Physical Interpretation of the Solutions to the Dirac Equation."
Advanced CBCT for Endodontics : Technical Considerations, Perception, and Decision-Making
This book encourages endodontists to develop a sound technical and theoretical understanding of CBCT. The authors compare the capabilities of modern CBCT imaging with traditional radiography and also present vital information about image interpretation and perception to increase competence and confidence in CBCT interpretation and minimize overdiagnosis and subsequent overtreatment.
Abuse of Dominant Position : New Interpretation, New Enforcement Mechanisms?
As part of its review of competition law that started in the late 1990s, the European Commission proposes to revise its interpretation and application of the Treaty’s prohibition of abuses of dominant positions. Also, it has instigated a debate about the promotion of private enforcement of EC competition law. The chapters in this volume critically appraise the Commission’s proposals, including the most recent ones. The authors also highlight the repercussions of the proposed ‘more economic approach’ to abuses of dominant positions on private litigants’ opportunities to bring damages actions in national courts for such abuses.
Abstract Computing Machines : A Lambda Calculus Perspective
The book addresses ways and means of organizing computations, highlighting the relationship between algorithms and the basic mechanisms and runtime structures necessary to execute them using machines. It completely abstracts from concrete programming languages and machine architectures, taking instead the lambda calculus as the basic programming and program execution model to design various abstract machines for its correct implementation. The emphasis is on fully normalizing machines based on full-fledged beta-reductions as essential prerequisites for symbolic computations that treat functions and variables truly as first-class objects. Their weakly normalizing counterparts are shown to be functional abstract machines that sacrifice the flavors of full beta-reductions for decidedly simpler runtime structures and improved runtime efficiency. Further downgrading of the lambda calculus leads to classical imperative machines that permit side-effecting operations on the runtime environment.
A New Foundation of Physical Theories
Written in the tradition of G. Ludwig’s groundbreaking works, this book aims to clarify and formulate more precisely the fundamental ideas of physical theories. By introducing a basic descriptive language of simple form, in which it is possible to formulate recorded facts, ambiguities of physical theories are avoided as much as possible. In this approach the field of physics that should be described by a theory is determined by basic concepts only, i.e. concepts that can be explained without a theory.In this context the authors introduce a new concept of idealization and review the process of discovering new concepts. They believe that, when the theories are formulated within an axiomatic basis, solutions can be found to many difficult problems such as the interpretation of physical theories, the relations between theories as well as the introduction of physical concepts.
A Mathematical Introduction to Conformal Field Theory
The first part of this book gives a detailed, self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. In particular, the conformal groups are determined and the appearance of the Virasoro algebra in the context of the quantization of two-dimensional conformal symmetry is explained via the classification of central extensions of Lie algebras and groups. The second part surveys some more advanced topics of conformal field theory, such as the representation theory of the Virasoro algebra, conformal symmetry within string theory, an axiomatic approach to Euclidean conformally covariant quantum field theory and a mathematical interpretation of the Verlinde formula in the context of moduli spaces of holomorphic vector bundles on a Riemann surface.
A History of Limb Amputation
This book traces humanity’s long experience of natural amputations due to congenital absence, disease, frostbite, toxins, domestic and wild animal trauma, and for non-medical reasons related to punitive, ritual, and legal actions, ultimately leading to the development of elective surgical amputation. While the evolution of surgical techniques forms a major chapter in the book, many ancillary problems are addressed including the control of hemorrhage and infection, the approach to pain relief, the development of suitable instruments and equipment, and the invention of prostheses, all suitably illuminated with case histories and relevant illustrations. In addition, alternative procedures designed to avoid amputation, increasingly important in the last two centuries, are debated, and factors associated with self-amputation in extremis, not rare according to press reports, are also examined. A separate chapter considers the philosophy and interpretations of society, patients, and surgeons faced with amputation, particularly before anesthesia.
A Geometry of Approximation : Rough Set Theory: Logic, Algebra and Topology of Conceptual Patterns
A Geometry of Approximation' addresses Rough Set Theory, a field of interdisciplinary research first proposed by Zdzislaw Pawlak in 1982, and focuses mainly on its logic-algebraic interpretation. The theory is embedded in a broader perspective that includes logical and mathematical methodologies pertaining to the theory, as well as related epistemological issues. Any mathematical technique that is introduced in the book is preceded by logical and epistemological explanations. Intuitive justifications are also provided, insofar as possible, so that the general perspective is not lost.
