Have you ever wanted to go on a night out but didn't know where or how to start? Or are you a newbie who needs a guiding hand? Former newspaper nightlife journalists IVAN LIM and CARA VAN MIRIAH will, though a collection of stories, tell you just what you might expect in Singapore's colourful nightlife scene. They also recommend places you can check out for the various types of of entertainment that you may fancy. Draw on the couple's years of experience, gain exciting insights and start partying in the unique world that is Singapore after dark.
Now in its fourth edition, Ivan Png's Managerial Economics has been extensively revised with ** A completely new introductory chapter emphasizing decision-making and behavioral biases, ** Intensive application to current issues including the sub-prime financial crisis and global competition, as well as ** Streamlined presentation focusing on the economics that managers need to know. As always, the text presents the key concepts of micro-economics intuitively, without requiring any sophisticated mathematics. Throughout, it emphasizes actual management application, and links to other functions including marketing and finance. The new fourth edition is updated with fresh up-to-date discussion questions from all over the world and enhanced with detailed instructor supplements. It is an ideal text for any course focusing on the practical application of micro-economic principles to management.
This book deals with the impact of uncertainty in input data on the outputs of mathematical models. Uncertain inputs as scalars, tensors, functions, or domain boundaries are considered. In practical terms, material parameters or constitutive laws, for instance, are uncertain, and quantities as local temperature, local mechanical stress, or local displacement are monitored. The goal of the worst scenario method is to extremize the quantity over the set of uncertain input data.A general mathematical scheme of the worst scenario method, including approximation by finite element methods, is presented, and then applied to various state problems modeled by differential equations or variational inequalities: nonlinear heat flow, Timoshenko beam vibration and buckling, plate buckling, contact problems in elasticity and thermoelasticity with and without friction, and various models of plastic deformation, to list some of the topics. Dozens of examples, figures, and tables are included.Although the book concentrates on the mathematical aspects of the subject, a substantial part is written in an accessible style and is devoted to various facets of uncertainty in modeling and to the state of the art techniques proposed to deal with uncertain input data.A chapter on sensitivity analysis and on functional and convex analysis is included for the reader's convenience. · Rigorous theory is established for the treatment of uncertainty in modeling· Uncertainty is considered in complex models based on partial differential equations or variational inequalities · Applications to nonlinear and linear problems with uncertain data are presented in detail: quasilinear steady heat flow, buckling of beams and plates, vibration of beams, frictional contact of bodies, several models of plastic deformation, and more · Although emphasis is put on theoretical analysis and approximation techniques, numerical examples are also present· Main ideas and approaches used today to handle uncertainties in modeling are described in an accessible form· Fairly self-contained book
Scientists and engineers are mainly using Richardson extrapolation as a computational tool for increasing the accuracy of various numerical algorithms for the treatment of systems of ordinary and partial differential equations and for improving the computational efficiency of the solution process by the automatic variation of the time-stepsizes. A third issue, the stability of the computations, is very often the most important one and, therefore, it is the major topic studied in all chapters of this book. Clear explanations and many examples make this text an easy-to-follow handbook for applied mathematicians, physicists and engineers working with scientific models based on differential equations. Contents The basic properties of Richardson extrapolation Richardson extrapolation for explicit Runge-Kutta methods Linear multistep and predictor-corrector methods Richardson extrapolation for some implicit methods Richardson extrapolation for splitting techniques Richardson extrapolation for advection problems Richardson extrapolation for some other problems General conclusions
A century of complex relations between Communists and workers in China In 2021, the Chinese Communist Party celebrated a century of existence. Since the Party’s humble beginnings in the Marxist groups of the Republican era to its current global ambitions, one thing has not changed for China’s leaders: their claim to represent the vanguard of the Chinese working class. Spanning from the night classes for workers organised by student activists in Beijing in the 1910s to the labour struggles during the 1920s and 1930s; from the turmoil of the Cultural Revolution to the social convulsions of the reform era to China’s global push today, this book reconstructs the contentious history of labour in China from the early twentieth century to this day (and beyond). This will be achieved through a series of essays penned by scholars in the field of Chinese society, politics, and culture, each one of which will revolve around a specific historical event, in a mosaic of different voices, perspectives, and interpretations of what constituted the experience of being a worker in China in the past century. Contributors: Corey Byrnes, Craig A. Smith, Xu Guoqi, Zhou Ruixue, Lin Chun, Elizabeth J. Perry, Tony Saich, Wang Kan, Gail Hershatter, Apo Leong, S.A. Smith, Alexander F. Day, Yige Dong, Seung-Joon Lee, Lu Yan, Joshua Howard, Bo Ærenlund Sørensen, Brian DeMare, Emily Honig, Po-chien Chen, Yi-hung Liu, Jake Werner, Malcolm Thompson, Robert Cliver, Mark W. Frazier, John Williams, Christian Sorace, Zhu Ruiyi, Ivan Franceschini, Chen Feng, Ben Kindler, Jane Hayward, Tim Wright, Koji Hirata, Jacob Eyferth, Aminda Smith, Fabio Lanza, Ralph Litzinger, J onathan Unger, Covell F. Meyskens, Maggie Clinton, Patricia M. Thornton, Ray Yep, Andrea Piazzaroli Longobardi, Joel Andreas, Matt Galway, Michel Bonnin, A.C. Baecker, Mary Ann O’Donnell, Tiantian Zheng, Jeanne L. Wilson, Ming-sho Ho, Yueran Zhang, Anita Chan, Sarah Biddulph, Jude Howell, William Hurst, Dorothy J. Solinger, Ching Kwan Lee, Chloé Froissart, Mary Gallagher, Eric Florence, Junxi Qian, Chris King-chi Chan, Elaine Sio-Ieng Hui, Jenny Chan, Eli Friedman, Aaron Halegua, Wanning Sun, Marc Blecher, Huang Yu, Manfred Elfstrom, Darren Byler, Carlos Rojas, Chen Qiufan.
In the context of this book, adaptation is taken to mean a feature of a system aimed at achieving the best possible performance, when mathematical models of the environment and the system itself are not fully available. This has applications ranging from theories of visual perception and the processing of information, to the more technical problems of friction compensation and adaptive classification of signals in fixed-weight recurrent neural networks. Largely devoted to the problems of adaptive regulation, tracking and identification, this book presents a unifying system-theoretic view on the problem of adaptation in dynamical systems. Special attention is given to systems with nonlinearly parameterized models of uncertainty. Concepts, methods and algorithms given in the text can be successfully employed in wider areas of science and technology. The detailed examples and background information make this book suitable for a wide range of researchers and graduates in cybernetics, mathematical modelling and neuroscience.
This book consists of a number of papers regarding the thermodynamics and structure of multicomponent systems that we have published during the last decade. Even though they involve different topics and different systems, they have something in common which can be considered as the “signature” of the present book. First, these papers are concerned with “difficult” or very nonideal systems, i. e. systems with very strong interactions (e. g. , hyd- gen bonding) between components or systems with large differences in the partial molar v- umes of the components (e. g. , the aqueous solutions of proteins), or systems that are far from “normal” conditions (e. g. , critical or near-critical mixtures). Second, the conventional th- modynamic methods are not sufficient for the accurate treatment of these mixtures. Last but not least, these systems are of interest for the pharmaceutical, biomedical, and related ind- tries. In order to meet the thermodynamic challenges involved in these complex mixtures, we employed a variety of traditional methods but also new methods, such as the fluctuation t- ory of Kirkwood and Buff and ab initio quantum mechanical techniques. The Kirkwood-Buff (KB) theory is a rigorous formalism which is free of any of the - proximations usually used in the thermodynamic treatment of multicomponent systems. This theory appears to be very fruitful when applied to the above mentioned “difficult” systems.
This book examines the computations of gas-borne dust flows in local exhaust ventilation systems and provides practical recommendations for the energy-efficient containment of dust emissions. It discusses basic approaches to operational energy savings for local exhaust ventilation systems, including shaping intake openings of open local exhaust devices after determining boundaries of vortex areas, increasing the working distance of suction openings, inhibiting carryover of dust into aspiration network by promoting rotational aerodynamic fields, and more. Color photos throughout illustrate dust behavior, flow lines, and patterns.
Algebraic varieties are shapes defined by polynomial equations. Smooth Fano threefolds are a fundamental subclass that can be thought of as higher-dimensional generalizations of ordinary spheres. They belong to 105 irreducible deformation families. This book determines whether the general element of each family admits a Kähler–Einstein metric (and for many families, for all elements), addressing a question going back to Calabi 70 years ago. The book's solution exploits the relation between these metrics and the algebraic notion of K-stability. Moreover, the book presents many different techniques to prove the existence of a Kähler–Einstein metric, containing many additional relevant results such as the classification of all Kähler–Einstein smooth Fano threefolds with infinite automorphism groups and computations of delta-invariants of all smooth del Pezzo surfaces. This book will be essential reading for researchers and graduate students working on algebraic geometry and complex geometry.
This volume provides a comprehensive review of the developments which have taken place during the last thirty years concerning the asymptotic properties of solutions of nonautonomous ordinary differential equations. The conditions of oscillation of solutions are established, and some general theorems on the classification of equations according to their oscillatory properties are proved. In addition, the conditions are found under which nonlinear equations do not have singular, proper, oscillatory and monotone solutions. The book has five chapters: Chapter I deals with linear differential equations; Chapter II with quasilinear equations; Chapter III with general nonlinear differential equations; and Chapter IV and V deal, respectively, with higher-order and second-order differential equations of the Emden-Fowler type. Each section contains problems, including some which presently remain unsolved. The volume concludes with an extensive list of references. For researchers and graduate students interested in the qualitative theory of differential equations.
This book constitutes the thoroughly refereed post-proceedings of the 5th International Conference on Large-Scale Scientific Computations, LSSC 2005, held in Sozopol, Bulgaria in June 2005. The 75 revised full papers presented together with five invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections.
This monograph presents the state of the art of convexity, with an emphasis to integral representation. The exposition is focused on Choquet’s theory of function spaces with a link to compact convex sets. An important feature of the book is an interplay between various mathematical subjects, such as functional analysis, measure theory, descriptive set theory, Banach spaces theory and potential theory. A substantial part of the material is of fairly recent origin and many results appear in the book form for the first time. The text is self-contained and covers a wide range of applications. From the contents: Geometry of convex sets Choquet theory of function spaces Affine functions on compact convex sets Perfect classes of functions and representation of affine functions Simplicial function spaces Choquet's theory of function cones Topologies on boundaries Several results on function spaces and compact convex sets Continuous and measurable selectors Construction of function spaces Function spaces in potential theory and Dirichlet problem Applications
Models of Computation for Heterogeneous Embedded Systems" presents a model of computation for heterogeneous embedded systems called DFCharts. It targets heterogeneous systems by combining finite state machines (FSM) with synchronous dataflow graphs (SDFG). FSMs are connected in the same way as in Argos (a Statecharts variant with purely synchronous semantics) using three operators: synchronous parallel, refinement and hiding. The fourth operator, called asynchronous parallel, is introduced in DFCharts to connect FSMs with SDFGs. In the formal semantics of DFCharts, the operation of an SDFG is represented as an FSM. Using this representation, SDFGs are merged with FSMs so that the behaviour of a complete DFCharts specification can be expressed as a single, flat FSM. This allows system properties to be verified globally. The practical application of DFCharts has been demonstrated by linking it to widely used system-level languages Java, Esterel and SystemC.
This book explores Information theory (IT) tools, which have become state of the art to solve and understand better many of the problems in visualization. This book covers all relevant literature up to date. It is the first book solely devoted to this subject, written by leading experts in the field.
This book deals with the impact of uncertainty in input data on the outputs of mathematical models. Uncertain inputs as scalars, tensors, functions, or domain boundaries are considered. In practical terms, material parameters or constitutive laws, for instance, are uncertain, and quantities as local temperature, local mechanical stress, or local displacement are monitored. The goal of the worst scenario method is to extremize the quantity over the set of uncertain input data.A general mathematical scheme of the worst scenario method, including approximation by finite element methods, is presented, and then applied to various state problems modeled by differential equations or variational inequalities: nonlinear heat flow, Timoshenko beam vibration and buckling, plate buckling, contact problems in elasticity and thermoelasticity with and without friction, and various models of plastic deformation, to list some of the topics. Dozens of examples, figures, and tables are included.Although the book concentrates on the mathematical aspects of the subject, a substantial part is written in an accessible style and is devoted to various facets of uncertainty in modeling and to the state of the art techniques proposed to deal with uncertain input data.A chapter on sensitivity analysis and on functional and convex analysis is included for the reader's convenience. · Rigorous theory is established for the treatment of uncertainty in modeling· Uncertainty is considered in complex models based on partial differential equations or variational inequalities · Applications to nonlinear and linear problems with uncertain data are presented in detail: quasilinear steady heat flow, buckling of beams and plates, vibration of beams, frictional contact of bodies, several models of plastic deformation, and more · Although emphasis is put on theoretical analysis and approximation techniques, numerical examples are also present· Main ideas and approaches used today to handle uncertainties in modeling are described in an accessible form· Fairly self-contained book
This book offers a modern exposition of the arithmetical properties of local fields using explicit and constructive tools and methods. It has been ten years since the publication of the first edition, and, according to Mathematical Reviews, 1,000 papers on local fields have been published during that period. This edition incorporates improvements to the first edition, with 60 additional pages reflecting several aspects of the developments in local number theory. The volume consists of four parts: elementary properties of local fields, class field theory for various types of local fields and generalizations, explicit formulas for the Hilbert pairing, and Milnor -groups of fields and of local fields. The first three parts essentially simplify, revise, and update the first edition. The book includes the following recent topics: Fontaine-Wintenberger theory of arithmetically profinite extensions and fields of norms, explicit noncohomological approach to the reciprocity map with a review of all other approaches to local class field theory, Fesenko's -class field theory for local fields with perfect residue field, simplified updated presentation of Vostokov's explicit formulas for the Hilbert norm residue symbol, and Milnor -groups of local fields. Numerous exercises introduce the reader to other important recent results in local number theory, and an extensive bibliography provides a guide to related areas.
Results and problems in the modern theory of best approximation, in which the methods of functional analysis are applied in a consequent manner. This modern theory constitutes both a unified foundation for the classical theory of best approximation and a powerful tool for obtaining new results.
Classical and Modern Integration Theories discusses classical integration theory, particularly that part of the theory directly associated with the problems of area. The book reviews the history and the determination of primitive functions, beginning from Cauchy to Daniell. The text describes Cauchy's definition of an integral, Riemann's definition of the R-integral, the upper and lower Darboux integrals. The book also reviews the origin of the Lebesgue-Young integration theory, and Borel's postulates that define measures of sets. W.H. Young's work provides a construction of the integral equivalent to Lebesque's construction with a different generalization of integrals leading to different approaches in solutions. Young's investigations aim at generalizing the notion of length for arbitrary sets by means of a process which is more general than Borel's postulates. The text notes that the Lebesgue measure is the unique solution of the measure problem for the class of L-measurable sets. The book also describes further modifications made into the Lebesgue definition of the integral by Riesz, Pierpont, Denjoy, Borel, and Young. These modifications bring the Lebesgue definition of the integral closer to the Riemann or Darboux definitions, as well as to have it associated with the concepts of classical analysis. The book can benefit mathematicians, students, and professors in calculus or readers interested in the history of classical mathematics.
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