Download or read book N distances and Their Applications written by Lev B. Klebanov and published by Karolinum Press, Charles University. This book was released on 2006-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book focuses on probability metrics suitable for the characterization of random variables in Hilbert or Banach space. It provides details of various stochastic processes, such as testing non-deterministic statistical hypotheses, characterization of probability distribution or constructing multidimensional test for two selections. The book is published in the English language.
Download or read book The Methods of Distances in the Theory of Probability and Statistics written by Svetlozar T. Rachev and published by Springer Science & Business Media. This book was released on 2013-01-04 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the method of metric distances and its application in probability theory and other fields. The method is fundamental in the study of limit theorems and generally in assessing the quality of approximations to a given probabilistic model. The method of metric distances is developed to study stability problems and reduces to the selection of an ideal or the most appropriate metric for the problem under consideration and a comparison of probability metrics. After describing the basic structure of probability metrics and providing an analysis of the topologies in the space of probability measures generated by different types of probability metrics, the authors study stability problems by providing a characterization of the ideal metrics for a given problem and investigating the main relationships between different types of probability metrics. The presentation is provided in a general form, although specific cases are considered as they arise in the process of finding supplementary bounds or in applications to important special cases. Svetlozar T. Rachev is the Frey Family Foundation Chair of Quantitative Finance, Department of Applied Mathematics and Statistics, SUNY-Stony Brook and Chief Scientist of Finanlytica, USA. Lev B. Klebanov is a Professor in the Department of Probability and Mathematical Statistics, Charles University, Prague, Czech Republic. Stoyan V. Stoyanov is a Professor at EDHEC Business School and Head of Research, EDHEC-Risk Institute—Asia (Singapore). Frank J. Fabozzi is a Professor at EDHEC Business School. (USA)
Download or read book Endohedral Fullerenes From Fundamentals To Applications written by Shangfeng Yang and published by World Scientific. This book was released on 2014-04-01 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Endohedral fullerenes represent a novel family of carbon nanostructures, which are characterized by a robust fullerene cage with atoms, ions, or clusters trapped in its interior. Since the first separation of the endohedral metallofullerene La@C82 in 1991, a large variety of endohedral structures have been isolated and their endohedral nature has been proved by experimental studies. Within the past two decades, the world of endohedral fullerenes was significantly enlarged by the clusterfullerenes and the new carbon cages including non-IPR (IPR=isolated pentagon rule) structures. Resulting from the charge transfer from the encaged species to the fullerene cage, endohedral fullerenes hold a lot of fascinating properties inaccessible by the empty fullerenes, and consequently promise potential applications in biomedicine, molecular electronics and photonics etc.The book provides a comprehensive overview of endohedral fullerenes focused on the new advances in the past decade, including its fundamentals (structures), synthesis, isolation, characterization, properties, functionalization as well as the applications, thus representing the most updated and broad review of this exciting field.
Download or read book Complex Networks Their Applications X written by Rosa Maria Benito and published by Springer Nature. This book was released on 2022-01-01 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students, and practitioners a unique update on the latest advances in theory and a multitude of applications. It presents the peer-reviewed proceedings of the X International Conference on Complex Networks and their Applications (COMPLEX NETWORKS 2021). The carefully selected papers cover a wide range of theoretical topics such as network models and measures; community structure, network dynamics; diffusion, epidemics and spreading processes; resilience and control as well as all the main network applications, including social and political networks; networks in finance and economics; biological and neuroscience networks, and technological networks.
Download or read book Encyclopedia of Distances written by Michel Marie Deza and published by Springer Science & Business Media. This book was released on 2012-10-28 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated and revised second edition of the leading reference volume on distance metrics includes a wealth of new material that reflects advances in a developing field now regarded as an essential tool in many areas of pure and applied mathematics. Its publication coincides with intensifying research efforts into metric spaces and especially distance design for applications. Accurate metrics have become a crucial goal in computational biology, image analysis, speech recognition and information retrieval. The content focuses on providing academics with an invaluable comprehensive listing of the main available distances. As well as standalone introductions and definitions, the encyclopedia facilitates swift cross-referencing with easily navigable bold-faced textual links to core entries, and includes a wealth of fascinating curiosities that enable non-specialists to deploy research tools previously viewed as arcane. Its value-added context is certain to open novel avenues of research.
Download or read book The Energy of Data and Distance Correlation written by Gabor J. Szekely and published by CRC Press. This book was released on 2023-02-15 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Energy distance is a statistical distance between the distributions of random vectors, which characterizes equality of distributions. The name energy derives from Newton's gravitational potential energy, and there is an elegant relation to the notion of potential energy between statistical observations. Energy statistics are functions of distances between statistical observations in metric spaces. The authors hope this book will spark the interest of most statisticians who so far have not explored E-statistics and would like to apply these new methods using R. The Energy of Data and Distance Correlation is intended for teachers and students looking for dedicated material on energy statistics, but can serve as a supplement to a wide range of courses and areas, such as Monte Carlo methods, U-statistics or V-statistics, measures of multivariate dependence, goodness-of-fit tests, nonparametric methods and distance based methods. •E-statistics provides powerful methods to deal with problems in multivariate inference and analysis. •Methods are implemented in R, and readers can immediately apply them using the freely available energy package for R. •The proposed book will provide an overview of the existing state-of-the-art in development of energy statistics and an overview of applications. •Background and literature review is valuable for anyone considering further research or application in energy statistics.
Download or read book An Introduction to Laplacian Spectral Distances and Kernels written by Giuseppe Patanè and published by Springer Nature. This book was released on 2022-05-31 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: In geometry processing and shape analysis, several applications have been addressed through the properties of the Laplacian spectral kernels and distances, such as commute time, biharmonic, diffusion, and wave distances. Within this context, this book is intended to provide a common background on the definition and computation of the Laplacian spectral kernels and distances for geometry processing and shape analysis. To this end, we define a unified representation of the isotropic and anisotropic discrete Laplacian operator on surfaces and volumes; then, we introduce the associated differential equations, i.e., the harmonic equation, the Laplacian eigenproblem, and the heat equation. Filtering the Laplacian spectrum, we introduce the Laplacian spectral distances, which generalize the commute-time, biharmonic, diffusion, and wave distances, and their discretization in terms of the Laplacian spectrum. As main applications, we discuss the design of smooth functions and the Laplacian smoothing of noisy scalar functions. All the reviewed numerical schemes are discussed and compared in terms of robustness, approximation accuracy, and computational cost, thus supporting the reader in the selection of the most appropriate with respect to shape representation, computational resources, and target application.
Download or read book Combinatorial Image Analysis written by Valentin E. Brimkov and published by Springer. This book was released on 2017-05-15 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 18th International Workshop on Combinatorial Image Analysis, IWCIA 2017, held in Plovdiv, Bulgaria, in June 2017. The 27 revised full papers presented were carefully reviewed and selected from 47 submissions. The workshop is organized in topical sections of theoretical foundations and theory of applications, namely: discrete geometry and topology; tilings and patterns; grammars, models and other technical tools for image analysis; image segmentation, classification; reconstruction; compression; texture analysis; bioimaging.
Download or read book Lessons on Plane Trigonometry and Its Application to the Measurement of Distances Heights and Areas and to Navigation Together with the Elementary Formulae of Analytical and Solid Or Spherical Trigonometry written by Edward Butler (A.M.) and published by . This book was released on 1862 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Application of Colloid Chemistry to Mineralogy and Petrology written by Alexander Scott and published by . This book was released on 1922 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Clifford Algebras and their Applications in Mathematical Physics written by Rafal Ablamowicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: The plausible relativistic physical variables describing a spinning, charged and massive particle are, besides the charge itself, its Minkowski (four) po sition X, its relativistic linear (four) momentum P and also its so-called Lorentz (four) angular momentum E # 0, the latter forming four trans lation invariant part of its total angular (four) momentum M. Expressing these variables in terms of Poincare covariant real valued functions defined on an extended relativistic phase space [2, 7J means that the mutual Pois son bracket relations among the total angular momentum functions Mab and the linear momentum functions pa have to represent the commutation relations of the Poincare algebra. On any such an extended relativistic phase space, as shown by Zakrzewski [2, 7], the (natural?) Poisson bracket relations (1. 1) imply that for the splitting of the total angular momentum into its orbital and its spin part (1. 2) one necessarily obtains (1. 3) On the other hand it is always possible to shift (translate) the commuting (see (1. 1)) four position xa by a four vector ~Xa (1. 4) so that the total angular four momentum splits instead into a new orbital and a new (Pauli-Lubanski) spin part (1. 5) in such a way that (1. 6) However, as proved by Zakrzewski [2, 7J, the so-defined new shifted four a position functions X must fulfill the following Poisson bracket relations: (1.
Download or read book Encyclopedia of Distances written by Michel Marie Deza and published by Springer Science & Business Media. This book was released on 2009-05-28 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distance metrics and distances have become an essential tool in many areas of pure and applied Mathematics, and this encyclopedia is the first one to treat the subject in full. The book appears just as research intensifies into metric spaces and especially, distance design for applications. These distances are particularly crucial, for example, in computational biology, image analysis, speech recognition, and information retrieval. Here, an assessment of the practical questions arising during selection of a "good'' distance function has been left aside in favor of a comprehensive listing of the main available distances, a useful tool for the distance design community. This reader-friendly reference offers both independent introductions and definitions, while at the same time making cross-referencing easy through hyperlink-like boldfaced references to original definitions. This high-quality publication is a mix of reference resource and coffee-table book.
Download or read book Reed Solomon Codes and Their Applications written by IEEE Communications Society and published by Institute of Electrical & Electronics Engineers(IEEE). This book was released on 1994 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reed-Solomon codes provide critical error control for many different types of digital communications systems, including those on the Voyager spacecraft and in CD players. This collection of 13 articles from leading researchers in the field provides a comprehensive overview of the history and practical applications--some never before published--of these important codes.
Download or read book Terpyridine based Materials written by Ulrich S. Schubert and published by John Wiley & Sons. This book was released on 2012-09-25 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the utilization of terpyridines both in macromolecular structure assembly and device chemistry has exploded, enabling, for example, supramolecular polymer architectures with switchable chemical and physical properties as well as novel functional materials for optoelectronic applications such as light-emitting diodes and solar cells. Further applications include the usage of terpyridines and their metal complexes as catalysts for asymmetric organic reactions and, in a biological context, as anti-tumor agents or biolabels. This book covers terpyridine-based materials topics ranging from syntheses, chemistry, and multinuclear metal complexes, right up to functionalized polymers, 3D-architectures, and surfaces. Aimed at materials scientists, (in)organic chemists, polymer chemists, complex chemists, physical chemists, biochemists, and libraries.
Download or read book The Imperial Dictionary of the English Language written by John Ogilvie and published by . This book was released on 1883 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Combinatorial Image Analysis written by Ralf Reulke and published by Springer Science & Business Media. This book was released on 2006-06-09 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the refereed proceedings of the 11th International Workshop on Combinatorial Image Analysis, IWCIA 2006, held in Berlin, June 2006. The book presents 34 revised full papers together with two invited papers, covering topics including combinatorial image analysis; grammars and models for analysis and recognition of scenes and images; combinatorial topology and geometry for images; digital geometry of curves and surfaces; algebraic approaches to image processing, and more.
Download or read book Graph Transformations written by Hartmut Ehrig and published by Springer Science & Business Media. This book was released on 2004-09-17 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Second International Conference on Graph Transformation, ICGT 2004, held in Rome, Italy, in September/October 2004. The 26 revised full papers presented together with three invited contributions and summaries of 2 tutorials and 5 workshops were carefully reviewed and selected from 58 submissions. The papers are organized in topical sections on integration technology, chemistry and biology, graph transformation concepts, DPO theory for high-level structures, analysis and testing, graph theory and algorithms, application conditions and logic, transformation of special structures, and object-orientation.
