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Celebrates the work of the renowned mathematician Herbert Amann, who had a significant and decisive influence in shaping Nonlinear Analysis. Containing 32 contributions, this volume covers a range of nonlinear elliptic and parabolic equations, with applications to natural sciences and engineering.
Even though the effect of lead contamination on human health has been known for decades, very little attention has been paid to lead-based solders used in electronics until recently. This comprehensive book examines all the important issues associated with lead-free electronic solder. It collects the work of researchers recognized for their significant scientific contributions in the area.
This book presents new and original research in Statistical Information Theory, based on minimum divergence estimators and test statistics, from a theoretical and applied point of view, for different statistical problems with special emphasis on efficiency and robustness. Divergence statistics, based on maximum likelihood estimators, as well as Wald’s statistics, likelihood ratio statistics and Rao’s score statistics, share several optimum asymptotic properties, but are highly non-robust in cases of model misspecification under the presence of outlying observations. It is well-known that a small deviation from the underlying assumptions on the model can have drastic effect on the performance of these classical tests. Specifically, this book presents a robust version of the classical Wald statistical test, for testing simple and composite null hypotheses for general parametric models, based on minimum divergence estimators.
This book provides the analytical tools to characterize nonlinear distorted multicarrier signals and optimal/sub-optimal receivers employed in high data rate communication systems. Unified Theoretical Analysis of Nonlinear Multicarrier Schemes introduces new optimal and sub-optimal receivers for nonlinear distorted signals that can use nonlinear distortion to improve performance when compared with common receivers. It addresses the analysis of nonlinear systems with stochastic inputs and establishes new receivers designs for multi-carrier communication systems with nonlinearities. The authors also include the characterization and definition of optimum and sub-optimum receivers for nonlinear ...
The aim of this book is to present a broad overview of the theory and applications related to functional calculus. The book is based on two main subject areas: matrix calculus and applications of Hilbert spaces. Determinantal representations of the core inverse and its generalizations, new series formulas for matrix exponential series, results on fixed point theory, and chaotic graph operations and their fundamental group are contained under the umbrella of matrix calculus. In addition, numerical analysis of boundary value problems of fractional differential equations are also considered here. In addition, reproducing kernel Hilbert spaces, spectral theory as an application of Hilbert spaces, and an analysis of PM10 fluctuations and optimal control are all contained in the applications of Hilbert spaces. The concept of this book covers topics that will be of interest not only for students but also for researchers and professors in this field of mathematics. The authors of each chapter convey a strong emphasis on theoretical foundations in this book.
Vajrayogini is a tantric goddess from the highest class of Buddhist tantras who manifests the ultimate development of wisdom and compassion. Her practice is prevalent today among practitioners of Tibetan Buddhism. This ground-breaking book delves into the origins of Vajrayogini, charting her evolution in India and examining her roots in the Cakrasamvara tantra and in Indian tradition relating to siva. The focus of this work is the Guhyasamayasadhanamala, a collection of forty-six sadhanas, or practice texts. Written on palm leaves in Sanskrit and preserved since the twelfth century, this diverse collection, composed by various authors, reveals a multitude of forms of the goddess, each of which is described and illustrated here. One of the sadhanas, the Vajravarahi Sadhana by Umapatideva, depicts Vajrayogini at the center of a mandala of thirty-seven different goddesses, and is here presented in full translation alongside a Sanskrit edition. Elizabeth English provides extensive explanation and annotation of this representative text. Sixteen pages of stunning color plates not only enhance the study but bring the goddess to life.
Must-have reference on electronic packaging technology! The electronics industry is shifting towards system packaging technology due to the need for higher chip circuit density without increasing production costs. Electronic packaging, or circuit integration, is seen as a necessary strategy to achieve a performance growth of electronic circuitry in next-generation electronics. With the implementation of novel materials with specific and tunable electrical and magnetic properties, electronic packaging is highly attractive as a solution to achieve denser levels of circuit integration. The first part of the book gives an overview of electronic packaging and provides the reader with the fundamentals of the most important packaging techniques such as wire bonding, tap automatic bonding, flip chip solder joint bonding, microbump bonding, and low temperature direct Cu-to-Cu bonding. Part two consists of concepts of electronic circuit design and its role in low power devices, biomedical devices, and circuit integration. The last part of the book contains topics based on the science of electronic packaging and the reliability of packaging technology.
This book constitutes the refereed proceedings of the 20th International Symposium on Algorithms and Computation, ISAAC 2009, held in Honolulu, Hawaii, USA in December 2009. The 120 revised full papers presented were carefully reviewed and selected from 279 submissions for inclusion in the book. This volume contains topics such as algorithms and data structures, approximation algorithms, combinatorial optimization, computational biology, computational complexity, computational geometry, cryptography, experimental algorithm methodologies, graph drawing and graph algorithms, internet algorithms, online algorithms, parallel and distributed algorithms, quantum computing and randomized algorithms.
The European Union’s directive banning the use of lead-based (Pb) solders in electronic consumer products has created an urgent need for research on solder joint behavior under various driving forces in electronic manufacturing, and for development of lead-free solders. This book provides a comprehensive examination of advanced materials reliability issues related to copper-tin reaction and electromigration in solder joints, and presents methods for preventing common reliablity problems.