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Reliable computing techniques are essential if the validity of the output of a - merical algorithm is to be guaranteed to be correct. Our society relies more and more on computer systems. Usually, our systems appear to work successfully, but there are sometimes serious, and often minor, errors. Validated computing is one essential technology to achieve increased software reliability. Formal - gor in the de?nition of data types, the computer arithmetic, in algorithm design, and in program execution allows us to guarantee that the stated problem has (or does not have) a solution in an enclosing interval we compute. If the enclosure is narrow, we are certain that the result can be used. Otherwi...
To describe the true behavior of most real-world systems with sufficient accuracy, engineers have to overcome difficulties arising from their lack of knowledge about certain parts of a process or from the impossibility of characterizing it with absolute certainty. Depending on the application at hand, uncertainties in modeling and measurements can be represented in different ways. For example, bounded uncertainties can be described by intervals, affine forms or general polynomial enclosures such as Taylor models, whereas stochastic uncertainties can be characterized in the form of a distribution described, for example, by the mean value, the standard deviation and higher-order moments. The g...
Happy Table of Eugene Walter: Southern Spirits in Food and Drink
The Language of the Modes provides a study of modes in early music through eight essays, each dealing with a different aspects of modality. The volume codifies all known theoretical references to mode, all modally ordered musical sources, and all modally cyclic compositions. For many music students and listeners, the "language of the modes" is a deep mystery, accustomed as we are to centuries of modern harmony. Wiering demystifies the modal world, showing how composers and performers were able to use this structure to create compelling and beautiful works. This book will be an invaluable source to scholars of early music and music theory. in early music through eight essays, each dealing with a different aspects of modality. It codifies all known theoretical references to mode, all modally ordered musical sources, and all modally cyclic compositions. This book will be an invaluable source to scholars of early music.
Design of Experiments in Nonlinear Models: Asymptotic Normality, Optimality Criteria and Small-Sample Properties provides a comprehensive coverage of the various aspects of experimental design for nonlinear models. The book contains original contributions to the theory of optimal experiments that will interest students and researchers in the field. Practitionners motivated by applications will find valuable tools to help them designing their experiments. The first three chapters expose the connections between the asymptotic properties of estimators in parametric models and experimental design, with more emphasis than usual on some particular aspects like the estimation of a nonlinear functio...