The aim of this reference work is to provide the researcher with a comprehensive compilation of all up to now crystallographically identified inorganic substances in only one volume. All data have been processed and critically evaluated by the "Pauling File" editorial team using a unique software package. Each substance is represented in a single row containing information adapted to the number of chemical elements.
This work covers the required mathematical and theoretical tools required for understanding the Standard Model of particle physics. It explains the accelerator and detector physics which are needed for the experiments that underpin the Standard Model.
This self-contained monograph presents the reader with an authoritative view of Continuous Optimization, an area of mathematical optimization that has experienced major developments during the past 40 years. The book contains results which have not yet been covered in a systematic way as well as a summary of results on NR theory and methods developed over the last several decades. The readership is aimed to graduate students in applied mathematics, computer science, economics, as well as researchers working in optimization and those applying optimization methods for solving real life problems. Sufficient exercises throughout provide graduate students and instructors with practical utility in a two-semester course in Continuous Optimization. The topical coverage includes interior point methods, self-concordance theory and related complexity issues, first and second order methods with accelerated convergence, nonlinear rescaling (NR) theory and exterior point methods, just to mention a few. The book contains a unified approach to both interior and exterior point methods with emphasis of the crucial duality role. One of the main achievements of the book shows what makes the exterior point methods numerically attractive and why. The book is composed in five parts. The first part contains the basics of calculus, convex analysis, elements of unconstrained optimization, as well as classical results of linear and convex optimization. The second part contains the basics of self-concordance theory and interior point methods, including complexity results for LP, QP, and QP with quadratic constraint, semidefinite and conic programming. In the third part, the NR and Lagrangian transformation theories are considered and exterior point methods are described. Three important problems in finding equilibrium are considered in the fourth part. In the fifth and final part of the book, several important applications arising in economics, structural optimization, medicine, statistical learning theory, and more, are detailed. Numerical results, obtained by solving a number of real life and test problems, are also provided.
Asymptotic properties of solutions such as stability/ instability,oscillation/ nonoscillation, existence of solutions with specific asymptotics, maximum principles present a classical part in the theory of higher order functional differential equations. The use of these equations in applications is one of the main reasons for the developments in this field. The control in the mechanical processes leads to mathematical models with second order delay differential equations. Stability and stabilization of second order delay equations are one of the main goals of this book. The book is based on the authors’ results in the last decade. Features: Stability, oscillatory and asymptotic properties of solutions are studied in correlation with each other. The first systematic description of stability methods based on the Bohl-Perron theorem. Simple and explicit exponential stability tests. In this book, various types of functional differential equations are considered: second and higher orders delay differential equations with measurable coefficients and delays, integro-differential equations, neutral equations, and operator equations. Oscillation/nonoscillation, existence of unbounded solutions, instability, special asymptotic behavior, positivity, exponential stability and stabilization of functional differential equations are studied. New methods for the study of exponential stability are proposed. Noted among them inlcude the W-transform (right regularization), a priory estimation of solutions, maximum principles, differential and integral inequalities, matrix inequality method, and reduction to a system of equations. The book can be used by applied mathematicians and as a basis for a course on stability of functional differential equations for graduate students.
This book presents a precise description of a new method and technology for early diagnosis of breast cancer and cancer of the thyroid gland. The method employs mathematical/statistical techniques of pattern recognition and state of the art results in oncomorphology and cytometry to detect and identify malignancy-associated DNA changes in patient's buccal epithelium, which provide early signs of the disease before other symptoms, such as the formation of a tumor, become evident. The method is noninvasive and requiring a scrape of buccal epithelium from the patient's oral cavity for analysis. The results of recent clinical trials show that the sensitivity and specificity of the method compares favorably with other diagnostic methods currently in use. Conventional methods, such as mammography and ultrasound, are important tools in screening patients for cancer. However, their reliability is limited (see, for example, "Mammogram Team Learns from its Errors," New York Times, page 1, June 28, 2002). Thus the problem of improving the reliability of noninvasive methods for early diagnosis of cancer has been the subject of intense research in recent years. The present book is the first of its kind on the topic of computer-aided cytogenetic method of cancer diagnosis and presents a new approach to this problem. The book is divided into four chapters and consists of approximately 300 pages and 40 figures. It is intended for graduate students, researchers and professionals in the field of oncology, medical diagnostics and cancer research.
Aperture Alike began when the author first walked into a rock-climbing gym, and soon after, a community, more than a decade ago. A community held up by friends, mentors, and unlikely prophets of the steep, which quickly presented a fantastic, intoxicating path; a lifestyle without equal. While the sensational, rugged, and itinerant chapters - from high peaks to depraved inner landscapes – of the outdoor life came together, one facet soon became clear. The inner journeys of those friends, mentors, and homely prophets far exceeded any outward feat of will. Aperture Alike attempts to shine light into the deeper realities, the inner character swings and the unplanned arcs of those who have both devoted themselves to an outside craft, and to defining themselves apart from it. Aperture Alike is a collection of short stories about community, about people pursuing their own immutably holy center point, in the midst of a life defined by trials and tribulation.
Rev. Charles H. Roman is a retired minister with 45 years in the ministry. He attended West Virginia State College and Howard University. He has pastor churches in both South and North Carolina. He also pastor in Virginia, Washington DC and Pennsylvania. As president of the Statesville NC Branch of the NAACP, Spartanburg, SC Branch and serving as First Vice-president of the South Carolina Branches of the NAACP Rev Roman was a force in identifying, investigation, publicizing and mediating Civil Rights, injustices and inequities. He also led the fight in suing both the cities of Statesville, NC and Spartanburg, SC about changing their method in election and won.
Named one of 8 Eloquent Spanish Phrasebooks for Foolproof Communication by FluentU.com This newly revised and updated Spanish Phrase Book contains a wealth of useful words and phrases for travellers. The book includes basic grammar, a pronunciation guide and additional vocabulary, and is clearly presented in the perfect pocket size, in a clean and simple look.
Since the discovery of X-ray diffraction in 1913 over 100 000 different inorganic substances (also called compounds or phases) have been structurally characterized. The aim of this reference work is to provide the researcher with a comprehensive compilation of all up to now crystallographically identified inorganic substances in only one volume. All data have been processed and critically evaluated by the "Pauling File" editorial team using a unique software package. Each substance is represented in a single row containing information adapted to the number of chemical elements.
A cohesive and comprehensive account of the modern theory of iterative functional equations. Many of the results included have appeared before only in research literature, making this an essential volume for all those working in functional equations and in such areas as dynamical systems and chaos, to which the theory is closely related. The authors introduce the reader to the theory and then explore the most recent developments and general results. Fundamental notions such as the existence and uniqueness of solutions to the equations are stressed throughout, as are applications of the theory to such areas as branching processes, differential equations, ergodic theory, functional analysis and geometry. Other topics covered include systems of linear and nonlinear equations of finite and infinite ORD various function classes, conjugate and commutable functions, linearization, iterative roots of functions, and special functional equations.
Recursive Functions and Metamathematics deals with problems of the completeness and decidability of theories, using as its main tool the theory of recursive functions. This theory is first introduced and discussed. Then Gödel's incompleteness theorems are presented, together with generalizations, strengthenings, and the decidability theory. The book also considers the historical and philosophical context of these issues and their philosophical and methodological consequences. Recent results and trends have been included, such as undecidable sentences of mathematical content, reverse mathematics. All the main results are presented in detail. The book is self-contained and presupposes only some knowledge of elementary mathematical logic. There is an extensive bibliography. Readership: Scholars and advanced students of logic, mathematics, philosophy of science.
Aimed at graduate students, research logicians and mathematicians, this much-awaited text covers over 40 years of work on relative classification theory for nonstandard models of arithmetic. The book covers basic isomorphism invariants: families of type realized in a model, lattices of elementary substructures and automorphism groups.
The EnglishNavajo Children's Picture Dictionary is an English language children's dictionary with Navajo translations. By using these translations, and also the accompanying English sentence employing the entry word and the pictures, Navajospeaking students should be able to get a better understanding of each entry word's meaning. The book will also be helpful to those students who are learning to read Navajo, and to those who are learning the Navajo language.
Graduate students in both theoretical and experimental physics will find this third edition of Intermediate Quantum Mechanics , refined and updated in 1986, indispensable. The first part of the book deals with the theory of atomic structure, while the second and third parts deal with the relativistic wave equations and introduction to field theory, making Intermediate Quantum Mechanics more complete than any other single-volume work on the subject.
Magnetochemistry is a highly interdisciplinary field that attracts the interest of chemists, physicists and material scientists. Although the general strategy of theoretical molecular magnetism has been in place for decades, its performance for extended systems of interacting magnetic units can be very complicated. Professor Boca's book treats the "mosaic" of the theoretical approaches currently used in the field. This book presents a review of the theoretical concepts of molecular magnetism. The first chapter of the book recapitulates the necessary mathematical background. An overview of macroscopic magnetic properties is then presented. Formulation of magnetic parameters and methods of their calculation are given, followed by a brief summary of magnetic behaviour. The core of the book deals with the temperature dependence of magnetic susceptibility for mononuclear complexes, dimers, and exchange-coupled clusters.This book will be particularly useful for those scientists and students working in the field of molecular magnetism who need to refer to a complete and systematic treatment of the mathematics of magneto-chemical theory.
It is well known that symmetry-based methods are very powerful tools for investigating nonlinear partial differential equations (PDEs), notably for their reduction to those of lower dimensionality (e.g. to ODEs) and constructing exact solutions. This book is devoted to (1) search Lie and conditional (non-classical) symmetries of nonlinear RDC equations, (2) constructing exact solutions using the symmetries obtained, and (3) their applications for solving some biologically and physically motivated problems. The book summarises the results derived by the authors during the last 10 years and those obtained by some other authors.
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