Книги з теми "Matrix String Theory"

This article discusses the link between matrix models and string theory, giving emphasis on topological string theory and the Dijkgraaf–Vafa correspondence, along with applications of this correspondence and its generalizations to supersymmetric gauge theory, enumerative geometry, and mirror symmetry. The article first provides an overview of strings and matrices, noting that the correspondence between matrix models and string theory makes it possible to solve both non-critical strings and topological strings. It then describes some basic aspects of topological strings on Calabi-Yau manifolds and states the Dijkgraaf–Vafa correspondence, focusing on how it is connected to string dualities and how it can be used to compute superpotentials in certain supersymmetric gauge theories. In addition, it shows how the correspondence extends to toric manifolds and leads to a matrix model approach to enumerative geometry. Finally, it reviews matrix quantum mechanics and its applications in superstring theory.

This handbook showcases the major aspects and modern applications of random matrix theory (RMT). It examines the mathematical properties and applications of random matrices and some of the reasons why RMT has been very successful and continues to enjoy great interest among physicists, mathematicians and other scientists. It also discusses methods of solving RMT, basic properties and fundamental objects in RMT, and different models and symmetry classes in RMT. Topics include the use of classical orthogonal polynomials (OP) and skew-OP to solve exactly RMT ensembles with unitary, and orthogonal or symplectic invariance respectively, all at finite matrix size; the supersymmetric and replica methods; determinantal point processes; Painlevé transcendents; the fundamental property of RMT known as universality; RNA folding; two-dimensional quantum gravity; string theory; and the mathematical concept of free random variables. In addition to applications to mathematics and physics, the book considers broader applications to other sciences, including economics, engineering, biology, and complex networks.

This article discusses the three-fold family of Ginibre random matrix ensembles (complex, real, and quaternion real) and their elliptic deformations. It also considers eigenvalue correlations that are exactly reduced to two-point kernels in the strongly and weakly non-Hermitian limits of large matrix size. Ginibre introduced the complex, real, and quaternion real random matrix ensembles as a mathematical extension of Hermitian random matrix theory. Statistics of complex eigenvalues are now used in modelling a wide range of physical phenomena. After providing an overview of the complex Ginibre ensemble, the article describes random contractions and the complex elliptic ensemble. It then examines real and quaternion-real Ginibre ensembles, along with real and quaternion-real elliptic ensembles. In particular, it analyses the kernel in the elliptic case as well as the limits of strong and weak non-Hermiticity.

This epilogue examines how the Pullman Strike of 1894 exposed the Chicago Police Department's still quite limited ability to deal with a mass strike of such magnitude. The Pullman Strike was the largest and most important strike of the nineteenth century, with Chicago as its epicenter. It revealed as a failure George Pullman's attempt to apply a modified earlier version of order, based on the pre-police idea that a paternalistic system of organization could embed wage workers within an ordered system controlled by their employer. This strike also revealed the limits of police power, since the Chicago Police Department did not have the will or the force to break it. The Pullman Strike was primarily broken by the army, with the police department playing only a supporting role. The Pullman Strike also shows that municipal police departments were just one set of institutions within the broader matrix of state power, including the state militias and the military, that was built to maintain the businessmen's order in the nineteenth century.

Fatigue and Durability of Metals at High Temperatures is a repository of knowledge, experience, and insights on high-temperature fatigue and its effect on component lifetime and failure. The first few chapters provide readers with an intuitive understanding of creep and creep-fatigue and how they progress based on time, temperature, and stress. In subsequent chapters, the authors present several fatigue life prediction techniques, comparing them to each other and to experimental test results. The authors focus on a method called strain-range partitioning that breaks stress-strain hysteresis loops into simpler components, the effects of which can be analyzed more easily. Through detailed examples, they show how strain-range partitioning can account for creep-fatigue interactions, multiaxial stresses and strains, temperature gradients, metallurgical and microstructural changes, thermal fatigue, and damage mitigation or “healing” due to sequential loading. The method is also used to examine the cyclic deformation characteristics of various steels and alloys and the obstacles to achieving high-temperature structural durability with fiber-reinforced metal-matrix composites. For information on the print version, ISBN 978-0-87170-718-5, follow this link.

Students of geology who may have only a modest background in mathematics need to become familiar with the theories of stress, strain, and other tensor quantities, so that they can follow, and apply to their own research, developments in modern, quantitative geology. This book, based on a course taught by the author at UCLA, can provide the proper introduction. Included throughout the eight chapters are 136 complex problems, advancing from vector algebra in standard and subscript notations, to the mathematical description of finite strain and its compounding and decomposition. Fully worked solutions to the problems make up the largest part of the book. With their help, students can monitor their progress, and geologists will be able to utilize subscript and matrix notations and formulate and solve tensor problems on their own. The book can be successfully used by anyone with some training in calculus and the rudiments of differential equations.

This reference grammar of Gothic includes much history along with a description of Gothic grammar. Apart from runic inscriptions, Gothic is the earliest attested language of the Germanic family in Indo-European. Specifically, it is East Germanic. Most of the extant Gothic corpus is a 4th-century translation of the Bible, traditionally ascribed to Wulfila. This translation is historically important because it antedates Jerome’s Latin Vulgate. Gothic inflectional categories include nouns, adjectives, and verbs. Nouns are inflected for three genders, two numbers, and four cases. Adjectives also have weak and strong forms, as do verbs. Verbs are inflected for three persons and numbers, indicative and nonindicative mood (here called optative), past and nonpast tense, and voice. The mediopassive survives as a synthetic passive and syntactically in innovated periphrastic formations. Middle and anticausative functions were taken over by simple reflexive structures. Nonfinite are the infinitive, the imperative, and two participles. Gothic was a null subject language. Aspect was effected primarily by prefixes, relativization by relative pronouns built on demonstratives plus a complementizer. Complementizers were the norm with subordinated verbs in the indicative or optative. Switch to the optative was triggered by irrealis (the unreal), matrix verbs that do not permit a full range of subordinate tenses (e.g. hopes, wishes), potentiality, and alternate worlds. Many of these are also relevant to matrix clauses (independent optatives). Essentials of linearization include prepositional phrases, default postposed genitives and possessive adjectives, and preposed demonstratives. Verb-object order predominates, but there is considerable variation. Verb-auxiliary order is native Gothic.

The book provides an engaging account of theoretical, empirical, and practical aspects of various statistical methods in measuring risks of financial institutions, especially banks. In this book, the author demonstrates how banks can apply many simple but effective statistical techniques to analyse risks they face in business and safeguard themselves from potential vulnerability. It covers three primary areas of banking risks—credit, market, and operational risk, and in a uniquely intuitive, step-by-step manner, the author provides hands-on details on the primary statistical tools that can be applied for financial risk measurement and management. The book lucidly introduces concepts of various well-known statistical methods such as correlations, regression, matrix approach, probability and distribution theorem, hypothesis testing, Value at Risk (Vary), and Monte Carlo simulation techniques and provides a hands-on estimation and interpretation of these tests in measuring risks of the financial institutions. The books strike a fine balance between concepts and mathematics to tell a rich story of thoughtful use of statistical methods. The book will be of much interest to academics, risk managers, bankers, and consultants and general readers too. It emphasizes on specific risk measurement tools and techniques with data applications, templates required for data collection and analysis, numerous excel-based illustrations as well as analysis in econometric packages. Excel-based hands-on and use of econometric packages like STATA, EVIEWS, and @RISK will help practitioners, academia, and students to connect theory with application.

This is the first of two volumes on the genesis of quantum mechanics. It covers the key developments in the period 1900–1923 that provided the scaffold on which the arch of modern quantum mechanics was built in the period 1923–1927 (covered in the second volume). After tracing the early contributions by Planck, Einstein, and Bohr to the theories of black‐body radiation, specific heats, and spectroscopy, all showing the need for drastic changes to the physics of their day, the book tackles the efforts by Sommerfeld and others to provide a new theory, now known as the old quantum theory. After some striking initial successes (explaining the fine structure of hydrogen, X‐ray spectra, and the Stark effect), the old quantum theory ran into serious difficulties (failing to provide consistent models for helium and the Zeeman effect) and eventually gave way to matrix and wave mechanics. Constructing Quantum Mechanics is based on the best and latest scholarship in the field, to which the authors have made significant contributions themselves. It breaks new ground, especially in its treatment of the work of Sommerfeld and his associates, but also offers new perspectives on classic papers by Planck, Einstein, and Bohr. Throughout the book, the authors provide detailed reconstructions (at the level of an upper‐level undergraduate physics course) of the cental arguments and derivations of the physicists involved. All in all, Constructing Quantum Mechanics promises to take the place of older books as the standard source on the genesis of quantum mechanics.

While traditional drafting books focus on architectural and engineering readers, the thoroughly updated and revised Architectural Drafting for Interior Design, Third Edition, incorporates material and examples that are meaningful to today’s interior designers. Beginning interior designers will learn how to communicate their ideas graphically with a resource that is designed specifically for them. This book addresses their needs by focusing on topics independent of CAD, such as how to draw a floor plan, how to use it to create an interior elevation, and how to understand the relationship between 2D and 3D drawings. Written with NCIDQ, CIDA and NKBA requirements in mind, this book will provide readers with a strong, standards-based foundation in interior design. New to this Edition: - Enhanced and new worksheets - New design and drafting information, including updated visuals and symbols - Emerging technologies such as photogrammetry and 3D printing STUDIO Features: - Study smarter with self-quizzes featuring scored results and personalized study tips - Review concepts with flashcards of essential vocabulary - Download worksheets and their solutions, to practice your drafting skills Instructor Resources: - The Instructor’s Guide provides suggestions for planning the course and using the text in the classroom, supplemental assignments, grading rubrics, and a CIDA Professional Standards Matrix mapped to the chapters in the book - The Test Bank includes sample test questions for each chapter - PowerPoint® presentations include images from the book and provide a framework for lecture and discussion

Rocking the Closet: How Little Richard, Johnnie Ray, Liberace, and Johnny Mathias Queered Pop Music examines the way four popular male musicians who emerged in the 1950s, Johnnie Ray, Little Richard, Johnny Mathis, and Liberace challenged post-World War II masculine conventions. Rocking is a critical close reading that fuses queer literary theory, musicology, and popular music studies frameworks to develop its argument. Recent scholarship in queer theory and literary history constitutes a key strand of the book’s discussion of queer ambivalence regarding identity. Notably, the book explores how the four artists challenged male gender and sexual conventions without overtly identifying their respective sexual orientations or necessarily affiliating with gay activism, identity politics, or community tropes. The book outlines the emergence of postwar social expectations of male figures and employs these expectations to define a unique a set of five “queering” tools the four musicians employed in various combinations, to develop their public personae and build audiences. These tools include self-neutering, self-domesticating, spectacularizing, playing the “freak,” and playing the race card. Despite the prevalence of postwar gender norms, their deft use of these tools enabled each artist to develop sexually ambiguous personae and capitalize on the postwar audiences’ attraction to novelty and difference. These “queering” tools endure among contemporary musicians who challenge masculine conventions in popular music.

Influenza is a highly infectious, acute illness which has affected humans and animals since ancient times. Influenza viruses form the Orthomyxoviridae family and are grouped into types A, B, and C on the basis of the antigenic nature of the internal nucleocapsid or the matrix protein. Infl uenza A viruses infect a large variety of animal species, including humans, pigs, horses, sea mammals, and birds, occasionally producing devastating pandemics in humans, such as in 1918 when it has been estimated that between 50–100 million deaths occurred worldwide.There are two important viral surface glycoproteins, the haemagglutinin (HA) and neuraminidase (NA). The HA binds to sialic acid receptors on the membrane of host cells and is the primary antigen against which a host’s antibody response is targeted. The NA cleaves the sialic acid bond attaching new viral particles to the cell membrane of host cells allowing their release. The NA is also the target of the neuraminidase inhibitor class of antiviral agents that include oseltamivir and zanamivir and newer agents such as peramivir. Both these glycoproteins are important antigens for inducing protective immunity in the host and therefore show the greatest variation.Influenza A viruses are classified into 16 antigenically distinct HA (H1–16) and 9 NA subtypes (N1–9). Although viruses of relatively few subtype combinations have been isolated from mammalian species, all subtypes, in most combinations, have been isolated from birds. Each virus possesses one HA and one NA subtype.Last century, the sudden emergence of antigenically different strains in humans, termed antigenic shift, occurred on three occasions, 1918 (H1N1), 1957 (H2N2) and 1968 (H3N2), resulting in pandemics. The frequent epidemics that occur between the pandemics are as a result of gradual antigenic change in the prevalent virus, termed antigenic drift. Epidemics throughout the world occur in the human population due to infection with influenza A viruses, such as H1N1 and H3N2 subtypes, or with influenza B virus. Phylogenetic studies have led to the suggestion that aquatic birds that show no signs of disease could be the source of many influenza A viruses in other species. The 1918 H1N1 pandemic strain is thought to have arisen as a result of spontaneous mutations within an avian H1N1 virus. However, most pandemic strains, such as the 1957 H2N2, 1968 H3N2 and 2009 pandemic H1N1, are considered to have emerged by genetic re-assortment of the segmented RNA genome of the virus, with the avian and human influenza A viruses infecting the same host.Influenza viruses do not pass readily between humans and birds but transmission between humans and other animals has been demonstrated. This has led to the suggestion that the proposed reassortment of human and avian influenza viruses takes place in an intermediate animal with subsequent infection of the human population. Pigs have been considered the leading contender for the role of intermediary because they may serve as hosts for productive infections of both avian and human viruses, and there is good evidence that they have been involved in interspecies transmission of influenza viruses; particularly the spread of H1N1 viruses to humans. Apart from public health measures related to the rapid identification of cases and isolation. The main control measures for influenza virus infections in human populations involves immunization and antiviral prophylaxis or treatment.

Hard coal mining is characterised by features that pose numerous challenges to its current operations and cause strategic and operational problems in planning its development. The most important of these include the high capital intensity of mining investment projects and the dynamically changing environment in which the sector operates, while the long-term role of the sector is dependent on factors originating at both national and international level. At the same time, the conditions for coal mining are deteriorating, the resources more readily available in active mines are being exhausted, mining depths are increasing, temperature levels in pits are rising, transport routes for staff and materials are getting longer, effective working time is decreasing, natural hazards are increasing, and seams with an increasing content of waste rock are being mined. The mining industry is currently in a very difficult situation, both in technical (mining) and economic terms. It cannot be ignored, however, that the difficult financial situation of Polish mining companies is largely exacerbated by their high operating costs. The cost of obtaining coal and its price are two key elements that determine the level of efficiency of Polish mines. This situation could be improved by streamlining the planning processes. This would involve striving for production planning that is as predictable as possible and, on the other hand, economically efficient. In this respect, it is helpful to plan the production from operating longwalls with full awareness of the complexity of geological and mining conditions and the resulting economic consequences. The constraints on increasing the efficiency of the mining process are due to the technical potential of the mining process, organisational factors and, above all, geological and mining conditions. The main objective of the monograph is to identify relations between geological and mining parameters and the level of longwall mining costs, and their daily output. In view of the above, it was assumed that it was possible to present the relationship between the costs of longwall mining and the daily coal output from a longwall as a function of onerous geological and mining factors. The monograph presents two models of onerous geological and mining conditions, including natural hazards, deposit (seam) parameters, mining (technical) parameters and environmental factors. The models were used to calculate two onerousness indicators, Wue and WUt, which synthetically define the level of impact of onerous geological and mining conditions on the mining process in relation to: —— operating costs at longwall faces – indicator WUe, —— daily longwall mining output – indicator WUt. In the next research step, the analysis of direct relationships of selected geological and mining factors with longwall costs and the mining output level was conducted. For this purpose, two statistical models were built for the following dependent variables: unit operating cost (Model 1) and daily longwall mining output (Model 2). The models served two additional sub-objectives: interpretation of the influence of independent variables on dependent variables and point forecasting. The models were also used for forecasting purposes. Statistical models were built on the basis of historical production results of selected seven Polish mines. On the basis of variability of geological and mining conditions at 120 longwalls, the influence of individual parameters on longwall mining between 2010 and 2019 was determined. The identified relationships made it possible to formulate numerical forecast of unit production cost and daily longwall mining output in relation to the level of expected onerousness. The projection period was assumed to be 2020–2030. On this basis, an opinion was formulated on the forecast of the expected unit production costs and the output of the 259 longwalls planned to be mined at these mines. A procedure scheme was developed using the following methods: 1) Analytic Hierarchy Process (AHP) – mathematical multi-criteria decision-making method, 2) comparative multivariate analysis, 3) regression analysis, 4) Monte Carlo simulation. The utilitarian purpose of the monograph is to provide the research community with the concept of building models that can be used to solve real decision-making problems during longwall planning in hard coal mines. The layout of the monograph, consisting of an introduction, eight main sections and a conclusion, follows the objectives set out above. Section One presents the methodology used to assess the impact of onerous geological and mining conditions on the mining process. Multi-Criteria Decision Analysis (MCDA) is reviewed and basic definitions used in the following part of the paper are introduced. The section includes a description of AHP which was used in the presented analysis. Individual factors resulting from natural hazards, from the geological structure of the deposit (seam), from limitations caused by technical requirements, from the impact of mining on the environment, which affect the mining process, are described exhaustively in Section Two. Sections Three and Four present the construction of two hierarchical models of geological and mining conditions onerousness: the first in the context of extraction costs and the second in relation to daily longwall mining. The procedure for valuing the importance of their components by a group of experts (pairwise comparison of criteria and sub-criteria on the basis of Saaty’s 9-point comparison scale) is presented. The AHP method is very sensitive to even small changes in the value of the comparison matrix. In order to determine the stability of the valuation of both onerousness models, a sensitivity analysis was carried out, which is described in detail in Section Five. Section Six is devoted to the issue of constructing aggregate indices, WUe and WUt, which synthetically measure the impact of onerous geological and mining conditions on the mining process in individual longwalls and allow for a linear ordering of longwalls according to increasing levels of onerousness. Section Seven opens the research part of the work, which analyses the results of the developed models and indicators in individual mines. A detailed analysis is presented of the assessment of the impact of onerous mining conditions on mining costs in selected seams of the analysed mines, and in the case of the impact of onerous mining on daily longwall mining output, the variability of this process in individual fields (lots) of the mines is characterised. Section Eight presents the regression equations for the dependence of the costs and level of extraction on the aggregated onerousness indicators, WUe and WUt. The regression models f(KJC_N) and f(W) developed in this way are used to forecast the unit mining costs and daily output of the designed longwalls in the context of diversified geological and mining conditions. The use of regression models is of great practical importance. It makes it possible to approximate unit costs and daily output for newly designed longwall workings. The use of this knowledge may significantly improve the quality of planning processes and the effectiveness of the mining process.