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Invexity and Optimization

Invexity and Optimization presents results on invex function and their properties in smooth and nonsmooth cases, pseudolinearity and eta-pseudolinearity. Results on optimality and duality for a nonlinear scalar programming problem are presented, second and higher order duality results are given for a nonlinear scalar programming problem, and saddle point results are also presented. Invexity in multiobjective programming problems and Kuhn-Tucker optimality conditions are given for a multiobjecive programming problem, Wolfe and Mond-Weir type dual models are given for a multiobjective programming problem and usual duality results are presented in presence of invex functions. Continuous-time multiobjective problems are also discussed. Quadratic and fractional programming problems are given for invex functions. Symmetric duality results are also given for scalar and vector cases.

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Introduction to Stochastic Integration

The theory of stochastic integration, also called the Ito calculus, has a large spectrum of applications in virtually every scientific area involving random functions, but it can be a very difficult subject for people without much mathematical background. The Ito calculus was originally motivated by the construction of Markov diffusion processes from infinitesimal generators. Previously, the construction of such processes required several steps, whereas Ito constructed these diffusion processes directly in a single step as the solutions of stochastic integral equations associated with the infinitesimal generators. Moreover, the properties of these diffusion processes can be derived from the stochastic integral equations and the Ito formula. This introductory textbook on stochastic integration provides a concise introduction to the Ito calculus

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Introduction to Modern Number Theory: Fundamental Problems, Ideas and Theories

"Introduction to Modern Number Theory" surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories. Moreover, the authors have added a part dedicated to arithmetical cohomology and noncommutative geometry, a report on point counts on varieties with many rational points, the recent polynomial time algorithm for primality testing, and some others subjects.

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Introduction to Cryptography : Principles and Applications

In the first part, this book covers the key concepts of cryptography on an undergraduate level, from encryption and digital signatures to cryptographic protocols. In the second part, more advanced topics are addressed, such as the bit security of one-way functions and computationally perfect pseudorandom bit generators.

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Introduction to Complex Analysis in Several Variables

This book gives a comprehensive introduction to complex analysis in several variables. It clearly focusses on special topics in complex analysis rather than trying to encompass as much material as possible. Many cross-references to other parts of mathematics, such as functional analysis or algebras, are pointed out in order to broaden the view and the understanding of the chosen topics. A major focus is extension phenomena alien to the one-dimensional theory, which are expressed in the famous Hartog's Kugelsatz, the theorem of Cartan-Thullen, and Bochner's theorem.

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Intersubjective Temporality : It's About Time

This book addresses the above problematic at several levels: First, it is a careful analysis of Husserl's understanding of inner time-consciousness. I take up each aspect of temporalizing consciousness ,explaining it in light of Husserl's phenomenology and showing how it functions in the whole of the "living present,” i. e. , our active, constituting consciousness. These sections of the book are helpful both to the uninitiated student trying to enter the world of Husserl's "inner ti- consciousness" and to the experienced Husserl scholar who desires a closer look at Husserl's theory of temporalizing consciousness. Second, as my analyses take us to Husserl's recently published manuscripts, I provide an explanation of Husserl's later considerations of temporalizing consciousness, showing how he developed his earliest conceptions.

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Interpolation, Schur Functions and Moment Problems

In signal processing, they are often named reflection coefficients. Under the word "Schur analysis" one encounters a variety of problems related to Schur functions, such as interpolation problems, moment problems, the study of the relationships between the Schur coefficients and the properties of the function, or the study of underlying operators. Such questions are also considered for some generalizations of Schur functions. Furthermore, there is an extension of the notion of a Schur function for functions that are analytic and have a positive real part in the open upper half-plane; these functions are called Carathéodory functions. This volume is almost entirely dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes.

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International labour organization and global social governance

This book explores the role of the ILO (International Labour Organization) in building global social governance from multiple and mutually complementary perspectives. It explores the impact of this UN´s oldest agency, founded in 1919, on the transforming world of work in a global setting, providing insights into the unique history and functions of the ILO as an organization and the evolution of workers’ rights through international labour standards stemming from its regulatory mechanism.

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Interface oral health science 2014 : Innovative research on biosis-abiosis intelligent interface

The Tohoku University Graduate School of Dentistry first introduced the concept of “Interface Oral Health Science”, designed to establish and maintain healthy oral cavities, which are home to a number of mixed systems. Included in those systems are: (1) host tissues such as teeth, mucosa, muscle and bone, (2) parasites and microorganisms cohabiting the surfaces of the oral cavity, and (3) biomaterials that are used for the rehabilitation of oral functions. In addition, (4) these systems are subject to severe and complex mechanical forces. Therefore, it is critical to promote dental studies that integrate a wide range of interdisciplinary research as medicine, agriculture, material science, engineering, and pharmacology.

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Integrable Systems in Celestial Mechanics

This work presents a unified treatment of three important integrable problems relevant to both Celestial and Quantum Mechanics. Under discussion are the Kepler (two-body) problem and the Euler (two-fixed center) problem, the latter being the more complex and more instructive, as it exhibits a richer and more varied solution structure. Further, because of the interesting investigations by the 20th century mathematical physicist J.P. Vinti, the Euler problem is now recognized as being intimately linked to the Vinti (Earth-satellite) problem. Here the analysis of these problems is shown to follow a definite shared pattern yielding exact forms for the solutions. A central feature is the detailed treatment of the planar Euler problem where the solutions are expressed in terms of Jacobian elliptic functions, yielding analytic representations for the orbits over the entire parameter range.

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Innovative Tools and methods using BIM for an efficient renovation in buildings

This book describes a BIM-based toolkit that has been developed according to the latest research activities on building information modelling and semantic interoperability to optimize the building process. It highlights the impacts of using such new tools to fast renovation activities starting from the decision-making and design stages to the construction site management with the possibility to monitor occupants' and owners’ feedback during the realization process. In this process, a framework has been developed and implemented to allow stakeholders involved in a renovation project to efficiently compile, maintain, and add data about (i) building elements, (ii) building services systems, (iii) tenants, operators, and owners of the building, and (iv) current and predicted performance of the building from the various data sources available. The framework applies and specializes the existing practices in the Semantic Web, Linked Data, and ontology domain to the management of renovation projects. It has been designed to be open so that any system which implements the required functions and uses the specified conventions will be able to achieve semantic interoperability with other framework-compliant systems in the renovation domain. Finally, this book represents the validation process of the toolkit that has been held in three demo sites: a social housing building in Italy and two private residential buildings in Poland and Finland. The outcome shows that the toolkit facilitates the renovation process with relevant reductions of time, costs, and energy consumption and that the inhabitants can take advantage of the increase in building performances, quality, and comfort.

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Information security and privacy ; 13th Australasian Conference, ACISP 2008, Wollongong, Australia, July 7-9, 2008. Proceedings

This book constitutes the refereed proceedings of the 13th Australasian Conference on Information Security and Privacy, ACISP 2008, held in Wollongong, Australia, in July 2008.The 33 revised full papers presented were carefully reviewed and selected from 111 submissions. The papers cover a range of topics in information security, including authentication, key management, public key cryptography, privacy, anonymity, secure communication, ciphers, network security, elliptic curves, hash functions, and database security.

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Information Security and Cryptology – ICISC 2006; 9th International Conference, Busan, Korea, November 30 - December 1, 2006, Proceedings

This book constitutes the refereed proceedings of the 9th International Conference on Information Security and Cryptology, ICISC 2006, held in Busan, Korea in November/December 2006. The 26 revised full papers cover such topics as hash functions, block and stream ciphers, network security and access control, mobile communications security, forensics, copyright protection, biometrics, public key cryptosystems, and digital signatures.

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Information Security ; 11th International Conference, ISC 2008, Taipei, Taiwan, September 15-18, 2008. Proceedings

This book constitutes the refereed proceedings of the 11th International Conference on Information Security Conference, ISC 2008, held in Taipei, Taiwan, September 15-18, 2008.The 33 revised full papers presented were carefully reviewed and selected from 134 submissions. The papers are organized in topical sections on trusted computing, database and system security, intrusion detection, network security, cryptanalysis, digital signatures, AES, symmetric cryptography and hash functions, authentication as well as security protocols.

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Information Geometry : Near Randomness and Near Independence

This volume will be useful to practising scientists and students working in the application of statistical models to real materials or to processes with perturbations of a Poisson process, a uniform process, or a state of independence for a bivariate process. We use information geometry to provide a common differential geometric framework for a wide range of illustrative applications including amino acid sequence spacings in protein chains, cryptology studies, clustering of communications and galaxies, cosmological voids, coupled spatial statistics in stochastic fibre networks and stochastic porous media, quantum chaology. Introduction sections are provided to mathematical statistics, differential geometry and the information geometry of spaces of probability density functions.

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Infinite Dimensional Analysis : A Hitchhiker's Guide

This new edition of The Hitchhiker’s Guide has bene?tted from the comments of many individuals, which have resulted in the addition of some new material, and the reorganization of some of the rest. The most obvious change is the creation of a separate Chapter 7 on convex analysis. Parts of this chapter appeared in elsewhere in the second edition, but much of it is new to the third edition. In particular, there is an expanded discussion of support points of convex sets, and a new section on subgradients of convex functions.

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Implementing Models in Quantitative Finance : Methods and Cases

This book puts numerical methods into action for the purpose of solving concrete problems arising in quantitative finance. Part one develops a comprehensive toolkit including Monte Carlo simulation, numerical schemes for partial differential equations, stochastic optimization in discrete time, copula functions, transform-based methods and quadrature techniques. The content originates from class notes written for courses on numerical methods for finance and exotic derivative pricing held by the authors at Bocconi University since the year 2000. Part two proposes eighteen self-contained cases covering model simulation, derivative valuation, dynamic hedging, portfolio selection, risk management, statistical estimation and model calibration. It encompasses a wide variety of problems arising in markets for equity, interest rates, credit risk, energy and exotic derivatives.

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Immunogenetics of Autoimmune Disease

Utoimmunity is the downstream outcome of a rather extensive and coordinated series of events that include loss of self-tolerance, peripheral lymphocyte Aactivation, disruption of the blood-systems barriers, cellular infiltration into the target organs and local inflammation. Cytokines, adhesion molecules, growth factors, antibodies, and other molecules induce and regulate critical cell functions that perpetuate inflammation, leading to tissue injury and clinical phenotype. The nature and intensity of this response as well as the physiological ability to restore homeostasis are to a large extent conditioned by the unique amino acid sequences that define allelic variants on each of the numerous participating mol­ ecules. Therefore, the coding genes in their germline configuration play a primary role in determining who is at risk for developing such disorders, how the disease progresses, and how someone responds to therapy. Although genetic components in these diseases are clearly present, the lack of obvious and homogeneous modes of transmission has slowed progress by prevent­ ing the full exploitation of classical genetic epidemiologic techniques. Furthermore, autoimmune diseases are characterized by modest disease risk heritability and m- tifaceted interactions with environmental influences. Yet, several recent discoveries have dramatically changed our ability to examine genetic variation as it relates to human disease. In addition to the development of large-scale laboratory methods and tools to efficiently recognize and catalog DNA diversity, over the past few years there has been real progress in the application of new analytical and data-manage­ ment approaches

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Immunobiology of natural killer cell receptors

Natural Killer (NK) cells are large granular lymphocytes of the innate immune system. They are widespread throughout the body, being present in both lymphoid organs and non-lymphoid peripheral tissues. NK cells are involved in direct innate immune reactions against viruses, bacteria, parasites and other triggers of pathology, such as malignant transformation, all of which cause stress in affected cells. Importantly, NK cells also link the innate and adaptive immune responses, contributing to the initiation of adaptive immune responses and executing adaptive responses using the CD16 FcgRIIIA immunoglobulin Fc receptor. Such responses are mediated through two major effector functions, the direct cytolysis of target cells and the production of cytokines and chemokines. The authors focus here on the nature of recognition events by NK cells and address how these events are integrated to trigger these distinct and graded effector functions.

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Imaging Cellular and Molecular Biological Functions

Imaging cellular and molecular biological function’ provides a unique selection of essays by leading experts, aiming at scientist and student alike who are interested in all aspects of modern imaging, from its application and up-scaling to its development. Indeed the philosophy of this volume is to provide student, researcher, PI, professional or provost the means to enter this applications field with confidence, and to construct the means to answer their own specific questions.

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