الصفحة 6
الصفحة 6
Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces
As K. Nomizu has justly noted [K. Nomizu, 56], Differential Geometry ever will be initiating newer and newer aspects of the theory of Lie groups. This monograph is devoted to just some such aspects of Lie groups and Lie algebras. New differential geometric problems came into being in connection with so called subsymmetric spaces, subsymmetries, and mirrors introduced in our works dating back to 1957 [L.V. Sabinin, 58a,59a,59b]. In addition, the exploration of mirrors and systems of mirrors is of interest in the case of symmetric spaces. Geometrically, the most rich in content there appeared to be the homogeneous Riemannian spaces with systems of mirrors generated by commuting subsymmetries, in particular, so called tri-symmetric spaces introduced in [L.V. Sabinin, 61b]. As to the concrete geometric problem which needs be solved and which is solved in this monograph, we indicate, for example, the problem of the classification of all tri-symmetric spaces with simple compact groups of motions. Passing from groups and subgroups connected with mirrors and subsymmetries to the corresponding Lie algebras and subalgebras leads to an important new concept of the involutive sum of Lie algebras [L.V. Sabinin, 65]. This concept is directly concerned with unitary symmetry of elementary par- cles (see [L.V. Sabinin, 95,85] and Appendix 1). The first examples of involutive (even iso-involutive) sums appeared in the - ploration of homogeneous Riemannian spaces with and axial symmetry. The consideration of spaces with mirrors [L.V. Sabinin, 59b] again led to iso-involutive sums.
Mining Complex Data ; ECML/PKDD 2007 Third International Workshop, MCD 2007, Warsaw, Poland, September 17-21, 2007, Revised Selected Papers
This book constitutes the refereed proceedings of the Third International Workshop on Mining Complex Data, MCD 2007, held in Warsaw, Poland, in September 2007, co-located with ECML and PKDD 2007.The 20 revised full papers presented were carefully reviewed and selected; they present original results on knowledge discovery from complex data. In contrast to the typical tabular data, complex data can consist of heterogenous data types, can come from different sources, or live in high dimensional spaces. All these specificities call for new data mining strategies.
Minimally Invasive Tumor Therapies
In the age of the World Wide Web, informed patients continue to surprise oncologists with detailed questions about popular tumor therapies. Although minimally invasive tumor therapies (MITT) have become daily clinical practice for palliative treatment of liver tumors, the acceptance of these palliative modalities still varies enormously. In addition, promising results have been published for in situ ablation of lung metastases, bone tumors, and renal cell carcinoma. This book gives an up-to-date overview of the popular techniques and clinical results of MITT, with a clarification of the actual indications including the size, tumor entities, and clinical benefits. Moreover, the book focuses on the prospectives and limitations of imaging methods - ultrasound, computed tomography, and magnetic resonance imaging - used for MITT.
Minimal English for a Global World : Improved Communication Using Fewer Words
This book introduces a new tool for improving communication and promoting clearer thinking in a world where the use of Global English can create numerous comprehension and communication issues. Based on research findings from cross-linguistic semantics, it contains essays and studies by leading experts exploring the value and application of ‘Minimal English’ in various fields, including ethics, health, human rights discourse, education and international relations.
Microwave Radiometry of Vegetation Canopies
Research into microwave radiation from the Earth’s surface in the presence of vegetation canopies, as well as the development of algorithms for retrieval of soil and vegetation parameters from microwave radiometric measurements, have been actively conducted for the last 30 years by scientific groups worldwide. The capability of the microwave radiometric method to determine soil moisture and vegetation biometric indices was revealed 25 years ago by the author and his colleagues. Soil moisture and vegetation covers play a key role in the hydrological cycle and in water and energy transfer on the border of land surface and atmosphere through evaporation and transpiration. Accomplishment of large international projects shows that microwave radiometry of soil and vegetation has become an instrument of practical application and operational use. A systematic account of questions concerning the microwave radiometry of the Earth’s surface in the presence of vegetation canopies is the main objective of the book.
Microwave Dielectric Behaviour of Wet Soils
This book, aimed for agriculture and soil physicists and those working in the areas of remote sensing, deals with the physical and dielectric properties of soils, methods of soil, dielectric measurements using microwaves and remote sensing techniques. Some of the results on soil moisture measurements, theoretical models of soil moisture data and the recently used synthetic aperture radar techniques for the purpose of remote sensing and their interpretation of soil moistures are also discussed. The course contents are developed and updated with the help of the latest literature available which will help bridge the existing need of scientists in the area.
Micronutrients and macronutrients as nutraceuticals
Explains in detail the properties of micronutrients and macronutrients and their diverse uses as nutraceuticals for their beneficial properties, such as their antioxidant activity and immunity-boosting properties and how they can be incorporated into the human diet for optimum health, for growing beneficial bacteria in the gut, and inhibition of pathogens. Interestingly, the authors look at how disease-promoting habits often unfold in childhood, even prenatally, and employing nutrigenomics early on goes a long way toward curbing these chronic diseases later on in life.
Microeconomics for Managers ; 2nd ed.
Shows future managers how economics can provide practical answers to critical business problems. Focuses on case studies and real companies, such as Amazon, Microsoft, General Motors, United Airlines, and Xerox. Covers essential topics for future managers—including price discrimination, Porter’s five forces, risk sharing and spreading, signaling and screening, credibility and reputation, and economics and organizational behavior / Features an online supplement (available at micro4managers.stanford.edu) for students that provides solutions to the problems in the book, longer caselike exercises, review problems, a calculus review, and more
Microearthquake Seismology and Seismotectonics of South Asia
This volume comprehensively deals with plate tectonics and seismic waves in general and earthquake monitoring by permanent and temporary networks for active fault mapping, aftershock, swarm and induced seismicity investigations in interplate collision and subduction zones and in intraplate shield region.
Microbiome
Despite the increasing interest of healthy or fat as well sick people in selecting a suitable diet for them, as nutrition is becoming an interesting area recently, in contrast to that we have noticed that there is almost a rare or no interest in Microbiome field in our country by which we can be much more accurate in selecting a diet based on comparing a map of microbiomein healthy person with ill person individually to provide a patient with the right missing food to improve his immune system, or even for a child since birth, to build the best immune system as we compared the benefits of mother’s milk, and artificial one, therefore we will focus in our study on this new science for two reasons the first is to present it and secondly to integrate it in the practice by interested doctors.
Microbial Activity in the Rhizosphere
The rhizosphere is a very complex environment in which the effects of the plant on soil microorganisms and the effects of the microorganisms on the plant are interacting and are interdependent. Plant root exudates and breakdown products attract microbes and feed them and, in turn, the plants often benefit from the microbes. Interactions among microorganisms and plant roots are essential for nutritional requirements of the plant. Plant growth, development and productivity are largely dependent on the soil environment in the root region rhizosphere. The new techniques of studying the rhizosphere enables us to get a much better understanding of the dynamics of the rhizosphere population, such rhizosphere studies being of interest to agriculturists, soilbiologists, chemists, microbiologists and molecular biologists. The rhizosphere microbes in?uence the root environment in several ways. They may change the oxidation-reduction potential, influence the availability of moisture and nutrients, produce growth inhibiting or growth promoting substances in the form of exudates, provide competition and possibly induce many other effects. My corrhizal associations are beneficial in mineral uptake and in increasing root surface area for effective ion absorption. Antagonism, ompetition and synergism in soil and the rhizoplane (rhizosphere) are the most important microbial interactions to consider in the study of rhizosphere biology. With the growing information on the production of growth regulators, competitiveness of the microbes in the rhizosphere, microsymbionts, and other factors, their effect upon plant growth will become more evident. Experiments on the introduction of microbes or their products in the rhizosphere will help to improve our understandingofthebiologyoftherhizosphere.
Micro-, Meso- and Macro-Dynamics of the Brain
This book brings together leading investigators who represent various aspects of brain dynamics with the goal of presenting state-of-the-art current progress and address future developments. The topics cover the most fascinating facets of neuroscience from elementary computation of neurons, mesoscopic network oscillations, internally generated assembly sequences in the service of cognition, large-scale neuronal interactions within and across systems, the impact of sleep on cognition, memory and mental illness, brain controlled robots, motor-sensory integration, spatial navigation, large-scale computation and consciousness. Overall, this volume offers an integrated view of the challenges and opportunities in deciphering brain circuits in health and disease.
Metric Structures for Riemannian and Non-Riemannian Spaces
The first stages of the new developments were presented in Gromov's course in Paris, which turned into the famous "Green Book" by Lafontaine and Pansu (1979). The present English translation of that work has been enriched and expanded with new material to reflect recent progress. Additionally, four appendices—by Gromov on Levy's inequality, by Pansu on "quasiconvex" domains, by Katz on systoles of Riemannian manifolds, and by Semmes overviewing analysis on metric spaces with measures—as well as an extensive bibliography and index round out this unique and beautiful book.
Methods of nonlinear analysis : Applications to differential equations
In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Every method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. Applications and generalizations are shown. In particular, a large number of methods is applied to boundary value problems for partial differential equations.
Methods of Celestial Mechanics: Vol. I: Physical, Mathematical, and Numerical Principles
G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students in physics, mathematics and engineering as well as an excellent reference for practitioners. This Volume I gives a thorough treatment of celestial mechanics and presents all the necessary mathematical details that a professional would need. After a brief review of the history of celestial mechanics, the equations of motion (Newtonian and relativistic versions) are developed for planetary systems (N-body-problem), for artificial Earth satellites, and for extended bodies (which includes the problem of Earth and lunar rotation). Perturbation theory is outlined in an elementary way from generally known mathematical principles without making use of the advanced tools of analytical mechanics. The variational equations associated with orbital motion - of fundamental importance for parameter estimation (e.g., orbit determination), numerical error propagation, and stability considerations - are introduced and their properties discussed in considerable detail. Numerical methods, especially for orbit determination and orbit improvement, are discussed in considerable depth. The algorithms may be easily applied to objects of the planetary system and to Earth satellites and space debris.
Methods of Celestial Mechanics ; Vol. II : Application to Planetary System, Geodynamics and Satellite Geodesy
G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students as well as an excellent reference for practitioners. Volume II is devoted to the applications and to the presentation of the program system CelestialMechanics. Three major areas of applications are covered: (1) Orbital and rotational motion of extended celestial bodies. The properties of the Earth-Moon system are developed from the simplest case (rigid bodies) to more general cases, including the rotation of an elastic Earth, the rotation of an Earth partly covered by oceans and surrounded by an atmosphere, and the rotation of an Earth composed of a liquid core and a rigid shell (Poincaré model). (2) Artificial Earth Satellites. The oblateness perturbation acting on a satellite and the exploitation of its properties in practice is discussed using simulation methods (CelestialMechanics) and (simplified) first order perturbation methods. The perturbations due to the higher-order terms of the Earth's gravitational potential and resonant perturbations are considered thereafter. Special attention is paid to satellites of the Global Navigation Satellite Systems and to geostationary satellites. The characteristics of and models for the two most important non-gravitational forces, atmospheric drag and radiation pressure, are presented as well as the most relevant forces acting on high- and low-orbiting satellites. (3) Evolution of the Planetary System. The outer planetary system consisting of the planets Jupiter to Pluto is studied over long time intervals using simulation methods and spectral analysis (CelestialMechanics). The properties of the inner systems, in particular of the Earth's orbit, are made visible by integrating the entire system over long time intervals relevant for climate change. The distribution of minor planets and their orbital properties, regular orbits, and chaotic orbits are easily generated and analyzed using CelestialMechanics. The volume concludes with the discussion of important mathematical tools of the program system and of the principles of spectral analysis.
Methods and Tools for Drought Analysis and Management
Implementation of effective drought management policies requires both advanced technologies and appropriate methods. Monitoring and forecasting systems, practical tools for risk assessment, as well as simple and objective criteria to select and implement appropriate drought mitigation measures are key elements for a successful drought management strategy.These key issues have been tackled by universities and public agencies involved in the EU projects Sedemed and Sedemed II (Programme Interreg IIIB MEDOCC), aimed at the definition of an integrated network for real time monitoring of drought, the development of common methodologies for drought analysis and forecasting, as well as the definition of proper mitigation strategies for the Mediterranean countries.The book presents the main outcomes of such projects with a special focus on: drought monitoring and forecasting echniques at different spatial scales; new or modified agrometeorological indices and remote sensing technique for drought identification and characterization; tools to improve surface water resources management under drought conditions; methods and tools for groundwater resources monitoring and management, based on hydrogeological and hydrodynamics characteristics of aquifers; general criteria to select and implement mitigation strategies to prevent or minimize drought impacts.
Metastasis of Prostate Cancer
Without metastasis, prostate cancer would be both tolerable and treatable. The high incidence of indolent and organ confined disease is testament to this sweeping generalisation. Equally, if molecular markers of metastatic spread can be identified, then the choice of treatment for many patients would be easier and more radical, even curative. However, should prevention and treatment of the primary tumors prove difficult or impossible.
Metastasis of Breast Cancer
The book has covered a broad range of topics in the metastasis of breast cancer, from genetics, biology to clinical management. Main topics include genetic control, biology, growth factors, cell adhesion, cell motility and invasion, natures of bone metastasis, sentinel node therapies, hormonal links, new biomarkers and detection of micrometastasis, and diagnosis The book also covers the current treatment options including surgical management, chemotherapy and hormonal therapies.
Metallocenes in Regio- and Stereoselective Synthesis
Metallocene is a well known sandwich complex with two cyclopentadienyl ligands such as ferrocene. Recently, such metallocene compounds have been found to be very characteristic and they have become very important, not only in the area of organic synthesis, but also in polymerization in industry. Metal complexes with one cyclopentadienyl ligand have also become popular as half sandwich complexes. The number of researchers in the field of metallocenes has increased rapidly. However, the origin of the characteristic reactivity of metallocenes is not fully understood. In this volume, the chemistry of metal complexes with at least one cyclopentadienyl ligand is comprehensively covered by leading experts. Reactions discussed here are (i) natural product synthesis, (ii) catalytic asymmetric synthesis, (iii) cyclization reactions, (iv)catalytic reactions, (iv) polymerization reactions and (v) carbon-carbon bond cleavage reactions. The reader will have access to useful information about the current state of metallocene chemistry.
