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Towards a Unified Modeling and Knowledge-Representation based on Lattice Theory : Computational Intelligence and Soft Computing Applications
This research monograph proposes a unified, cross-fertilizing approach for knowledge-representation and modeling based on lattice theory. The emphasis is on clustering, classification, and regression applications.
Topology in Condensed Matter
This book reports new results in condensed matter physics for which topological methods and ideas are important. It considers, on the one hand, recently discovered systems such as carbon nanocrystals and, on the other hand, new topological methods used to describe more traditional systems such as the Fermi surfaces of normal metals, liquid crystals and quasicrystals. The authors of the book are renowned specialists in their fields and present the results of ongoing research, some of it obtained only very recently and not yet published in monograph form.
Topological Fixed Point Theory of Multivalued Mappings
This book is devoted to the topological fixed point theory of multivalued mappings including applications to differential inclusions and mathematical economy. It is the first monograph dealing with the fixed point theory of multivalued mappings in metric ANR spaces. Although the theoretical material was tendentiously selected with respect to applications, the text is self-contained. Current results are presented." "This book will be especially useful for post-graduate students and researchers interested in fixed point theory, and in particular, topological methods in nonlinear analysis, differential equations and dynamical systems.
Topics in Almost Automorphy
The range of applications include at present linear and nonlinear evolution equations, integro-differential and functional-differential equations, dynamical systems, etc...It has become imperative to take a bearing of the main steps of the the ory. That is the main purpose of this monograph. It is intended to inform the reader and pave the road to more research in the field. It is not a self contained book.
Tools for Computational Finance
Only in recent years quantitative analysts have asked for the numerical solution of a free-boundary partial di?erential equation. Fast and accurate numerical algorithms have become essential tools to price ?nancial derivatives and to manage portfolio risks. So far, the emerging ?eld of computational ?nance has hardly been discussed in the mathematical ?nance literature. This book attempts to ?ll the gap. Basic principles of computational ?nance are introduced in a monograph with textbook character.
Thermo-Dynamics of Plates and Shells
This monograph is devoted to the investigation of nonlinear dynamics of plates and shells embedded in a temperature field. Numerical approaches and rigorous mathematical proofs of solution existence in certain classes of differential equations with various dimensions are applied. Both closed shell-type constructions and sectorial shells are studied. The considered problems are approximated by 2D and 3D constructions taking into account various types of nonlinearities (geometrical and/or physical with coupled deformation and temperature fields), and are subjected to an action of stationary and non-stationary thermal loads.
Thermal Transport for Applications in Micro/Nanomachining
The focus of this monograph is on thermal transport modeling at time and length scales ranging from micro- to nanoscale levels. It is intended to serve as a handy reference for students and researchers who work on numerical and theoretical aspects of thermal transport phenomena at micro- and nanoscales.
Theory of Periodic Conjugate Heat Transfer
A new calculation method is presented for heat transfer in coupled convective-conductive fluid-wall systems under periodical intensity oscillations in fluid flow. It is demonstrated that the true steady-state mean value of the heat transfer coefficient has to be multiplied by a newly defined coupling factor. This correction factor is always smaller than one and depends on the coupling parameters Biot number, Fourier number as well as dimensionless geometry and oscillation parameters. For characteristic periodic heat transfer problems, analytical solutions are given for the coupling factor. To facilitate engineering application, the monograph also presents the analytical results in accompanying tables and diagrams.
Theory and Mathematical Methods for Bioformatics
This monograph addresses, in a systematic and pedagogical manner, the mathematical methods and the algorithms required to deal with the molecularly based problems of bioinformatics. The book will be useful to students, research scientists and practitioners of bioinformatics and related fields, especially those who are interested in the underlying mathematical methods and theory. Among the methods presented in the book, prominent attention is given to pair-wise and multiple sequence alignment algorithms, stochastic models of mutations, modulus structure theory and protein configuration analysis. Strong links to the molecular structures of proteins, DNA and other biomolecules and their analyses are developed. In particular, for proteins an in-depth exposition of secondary structure prediction methods should be a valuable tool in both molecular biology and in applications to rational drug design. The book can also be used as a textbook and for this reason most of the chapters include exercises and problems at the level of a graduate program in bioinformatics.
Theoretical and Experimental DNA Computation
Provides a broad overview of the entire field of DNA computation, tracing its history and development. It contains detailed descriptions of all major theoretical models and experimental results to date, which are lacking in existing texts, and discusses potential future developments. This book will provide a useful reference source for researchers and students, as well as an accessible introduction for people new to the field. The field of DNA computation has flourished since the publication of Adleman's seminal article, in which he demonstrated for the first time how a computation may be performed at a molecular level by performing standard operations on a tube of DNA strands. Since Adleman's original experiment, interest in DNA computing has increased dramatically. This monograph provides a detailed survey of the field, before describing recent theoretical and experimental developments. It concludes by outlining the challenges faced by researchers in the field and suggests possible future directions.
The Subthalamic Nucleus ; Part I : Development, Cytology, Topography and Connections
This monograph gives an overview of the STN. It treats the position of the STN in hemiballism, based on older and recent data. The cytology encompasses the neuronal types present in the STN in nearly all studied species and focuses on interneurons and the extent of their dendrites. Ultrastructural features are described for cat and baboon (F1, F2, Sr, LR1, LR2 boutons and d.c.v. terminals, together with vesicle containing dendrites), the cytochemistry is focused on receptors (dopamine, cannabinoid, opioid, glutamate, GABA, serotonin, and cholinergic-, purinergic ones) and calcium binding proteins and calcium channels.
The Routledge companion to architectural drawings and models : From translating to archiving, collecting and displaying
Fills a lacuna in current scholarship, questioning the significance of the lives of drawings and models after construction. Including emerging, well-known, and world-renowned scholars in the fields of architectural history and theory and curatorial practices, the thirty-five contributions define recent research in four key areas: drawing sites/sites of knowledge construction: drawing, office, construction site; the afterlife of drawings and models: archiving, collecting, displaying, and exhibiting; tools of making: architectural representations and their apparatus over time; and the ethical responsibilities of collecting and archiving: authorship, ownership, copyrights, and rights to copy.
The NMR Probe of High-Tc Materials
The NMR probe has yielded a vast array of data for the high-Tc materials, corresponding to different compounds, ionic sites, and nuclear species, as well as to a wide variety of experimental conditions. Over the twenty years, since the discovery of superconducting cuprates, ongoing analysis and discussion of cuprate NMR data have resulted in a wealth of important insights into the physics of these exotic systems. The aims of this monograph are threefold. First, it reviews NMR methodology as it has been applied to the cuprate studies. This is addressed to NMR practitioners and to physics laypersons alike. Next, it presents a review of cuprate NMR measurements and the wide variety of phenomena which they represent. The third phase is to recount the theoretical model calculations and other proposals which have been put forward to account for these data.
The neuregulin-I/ErbB signaling system in development and disease
This monograph reviews the biology of Neuregulins and their receptors and summarizes recent research, which has established crucial functions of this signaling system during development and disease.
The molecular targets and therapeutic uses of curcumin in health and disease
Curcumin is derived from the root of the plant Curcuma longa (also called turmeric) and its medicinal uses have been described for over 5000 years. More than 1500 papers published within last half a century has revealed that curcumin has a potential in the treatment of wide variety of inflammatory diseases including cancer, diabetes, cardiovascular diseases, arthritis, Alzheimer, psoriasis etc, through modulation of numerous molecular targets. This is the first monograph to deal specifically with this subject.
The Metal-Hydrogen System : Basic Bulk Properties
Metal hydrides are of inestimable importance for the future of hydrogen energy. This unique monograph presents a clear and comprehensive description of the bulk properties of the metal-hydrogen system. The statistical thermodynamics is treated over a very wide range of pressure, temperature and composition. Another prominent feature of the book is its elucidation of the quantum mechanical behavior of interstitial hydrogen atoms, including their states and motion. The important topic of hydrogen interaction with lattice defects and its materials-science implications are also discussed thoroughly. This second edition has been substantially revised and updated.
The Kaiser's Mosques : Islamic Architecture and Orientalizing Style in Habsburg Bosnia, 1878–1918
Highlights an understudied experiment at the intersection of 19th-century European and Islamic architectural histories. It draws attention to a body of buildings designed by architects trained in Central Europe for use by Muslims in Habsburg ruled Bosnia-Herzegovina (1878-1918). They include mosques, madrasas, and other buildings corresponding to a traditional Islamic formal and functional typology. The composition and decoration, however, is the product of 19th-century European His toricist conduct. It became a prominent style for town halls and private residences; on occasion, it was also used for railway stations, schools, or hotels. The spread and concentration of buildings in this style in Bosnia is extraordinary. This monography not only fills a gap in an art history that has long turned a blind eye to Europe’s Southeast but also contributes to our understanding of European powers’ historical responses to the challenge of cultural diversity in territories under their control.
The Heat Kernel and Theta Inversion on SL2(C)
The present monograph develops the fundamental ideas and results surrounding heat kernels, spectral theory, and regularized traces associated to the full modular group acting on SL2(C). The authors begin with the realization of the heat kernel on SL2(C) through spherical transform, from which one manifestation of the heat kernel on quotient spaces is obtained through group periodization. From a different point of view, one constructs the heat kernel on the group space using an eigenfunction, or spectral, expansion, which then leads to a theta function and a theta inversion formula by equating the two realizations of the heat kernel on the quotient space. The trace of the heat kernel diverges, which naturally leads to a regularization of the trace by studying Eisenstein series on the eigenfunction side and the cuspidal elements on the group periodization side.
The Functional Calculus for Sectorial Operators
The present monograph deals with the functional calculus for unbounded operators in general and for sectorial operators in particular. Sectorial operators abound in the theory of evolution equations, especially those of parabolic type. They satisfy a certain resolvent condition that leads to a holomorphic functional calculus based on Cauchy-type integrals. Via an abstract extension procedure, this elementary functional calculus is then extended to a large class of (even meromorphic) functions. With this functional calculus at hand, the book elegantly covers holomorphic semigroups, fractional powers, and logarithms. Special attention is given to perturbation results and the connection with the theory of interpolation spaces. A chapter is devoted to the exciting interplay between numerical range conditions, similarity problems and functional calculus on Hilbert spaces. Two chapters describe applications, for example to elliptic operators, to numerical approximations of parabolic equations, and to the maximal regularity problem. This book is the first systematic account of a subject matter which lies in the intersection of operator theory, evolution equations, and harmonic analysis.
The Flow Equation Approach to Many-Particle Systems
Addresses the flow equation approach to many-particle systems. The flow equation approach consists of a sequence of infinitesimal unitary transformations and is conceptually similar to renormalization and scaling methods. Flow equations provide a framework for analyzing Hamiltonian systems where these conventional many-body techniques fail. The text first discusses the general ideas and concepts of the flow equation method. In a second part these concepts are illustrated with various applications in condensed matter theory including strong-coupling problems and non-equilibrium systems. The monograph is accessible to readers familiar with graduate- level solid-state theory.
