الصفحة 2
الصفحة 2
Ecosystem Organization of a Complex Landscape : Long-Term Research in the Bornhöved Lake District, Germany
Presents the major findings of a 12-year ecological study of the Bornhöved Lake District, situated some 30 km south of Kiel. Historically speaking, the present research scheme, like comparable long-term ecosystem studies at Göttingen, Bayreuth, München, and Berchtesgaden, has been conceived as the core of a comprehensive ecological surveillance system for Germany (Ellenberg et al. 1978). Comprising three interrelated components, namely an ecological monitoring network, comparative ecosystem research, and an environmental specimen bank, this system is intended to promote both ecological science and planning and policy. In this connection the geo- and bioscientifically based ecosystem research aims at understanding the structure and functions of systems, the natural equilibrium and stress tolerance of singular components and the entire system against changes and disturbances from within and from outside, and the relationships between diversity, productivity, and stability. Thus, ecosystem research forms the indispensable basis for the rational analysis of the comprehensive data sets made available by ecological monitoring networks and for the adequate selection of plant, animal, and soil specimens for environmental specimen banking purposes.
Deformations of Algebraic Schemes
This study has become increasingly important in algebraic geometry in every context where variational phenomena come into play, and in classification theory, e.g. the study of the local properties of moduli spaces.Today deformation theory is highly formalized and has ramified widely within mathematics. This self-contained account of deformation theory in classical algebraic geometry (over an algebraically closed field) brings together for the first time some results previously scattered in the literature, with proofs that are relatively little known, yet of everyday relevance to algebraic geometers. Based on Grothendieck's functorial approach it covers formal deformation theory, algebraization, isotriviality, Hilbert schemes, Quot schemes and flag Hilbert schemes. It includes applications to the construction and properties of Severi varieties of families of plane nodal curves, space curves, deformations of quotient singularities, Hilbert schemes of points, local Picard functors, etc. Many examples are provided. Most of the algebraic results needed are proved.
Deep structure, singularities, and computer vision ; 1st international workshop, DSSCV 2005, Maastricht, The Netherlands, June 9-10, 2005, revised selected papers
Constitutes the refereed post-proceedings of the First International Workshop on Deep Structure, Singularities, and Computer Vision, DSSCV 2005, held in Maastricht. This book represents in understanding the relation between structural, topological information represented by singularities and metric information of signals, shapes, and colors.
Courbes algébriques planes = Plane Algebraic Curves
Resulting from a master's course at the University of Paris VII, this text is re-edited as it appeared in 1978. Various tools are introduced in connection with Bézout's theorem necessary for the development of the notion of the multiplicity of intersection of two algebraic curves in the complex projective plane. Starting from elementary notions on affine and projective algebraic subsets, we define the intersection multiplicities and interpret their sum in terms of the resultant of two polynomials. The local study is a pretext for the introduction of formal or convergent series rings; it culminates in Puiseux's theorem, the convergence of which is reduced by splits to that of the theorem of implicit functions. Various figures illuminate the text: we "see" in particular that the homogeneous equation x3 + y3 + z3 = 0 defines a torus in the complex projective plane.
Control of Singular Systems with Abrupt Changes
In this book many problems like stochastic stability, stochastic stabilization using state feedback control and static output control, Hinfinity control, filtering, guaranteed cost control and mixed H2/Hinfinity control and their robustness are tackled.
Computing in Algebraic Geometry : A Quick Start using SINGULAR
Algebraic geometry generally studies the properties of solution sets of systems of polynomial equations without direct reference to the actual polynomials used in these systems. … This is especially desirable for classwork where the development of the abstract machinery generally outlasts the patience of the students, except possibly the most motivated ones.
Computer algebra in scientific computing ; Vol. 3718 ; 8th International workshop, CASC 2005, Kalamata, Greece, September 12-16, 2005, Proceedings
This volume contains the proceedings of the CASC 2005 continued a tradition — started in 1998 — of international con-ferences on the latest advances in the application of computer algebra systems(CASs) and methods to the solution of various problems in scientific computing.The methods of scientific computing play an important role in research andengineering applications in the natural and the engineering sciences. The signif-icance and impact of computer algebra methods and computer algebra systemsfor scientific computing has increased considerably in recent times. Nowadays,such general-purpose computer algebra systems as Maple, Magma, Mathematica,MuPAD, Singular, CoCoA and others enable their users to solve the followingthree important tasks within a uniform framework:(a) symbolic manipulation;(b) numerical computation;(c) visualization. The result of this job is reflected in this volume, which contains revised versionsof the accepted papers. The collection of papers included in the proceedingscovers various topics of computer algebra methods, algorithms, and softwareapplied to scientific computing:
Mass Terms : Some Philosophical Problems
MASS TERMS, COUNT TERMS, AND SORTAL TERMS Central examples of mass terms are easy to come by. 'Water', 'smoke', 'gold', etc. , differ in their syntactic, semantic, and pragmatic properties from count terms such as 'man', 'star', 'wastebasket', etc. Syntactically, it seems, mass terms do, but singular count terms do not, admit the quantifier phrases 'much', 'an amount of', 'a little', etc. The typical indefinite article for them is 'some' (unstressed)!, and this article cannot be used with singular count terms. Count terms, but not mass terms, use the quantifiers 'each', 'every', 'some', 'few', 'many'; and they use 'a(n)' as the indefinite article. They can, unlike the mass terms, take numerals as prefixes.
Location- and Context-Awareness ; Vol. 3479 ; First International Workshop, LoCA 2005, Oberpfaffenhofen, Germany, May 12-13, 2005, Proceedings
The workshop was organized by the Institute of Communications and Navigation of the German Aerospace Center (DLR) in Oberpfa?enhofen, and the Mobile and Distributed Systems Group of the University of Munich. During the workshop, novel positioning algorithms and location sensing techniques were discussed, comprising not only enhancements of singular systems, like positioning in GSM or WLAN, but also hybrid technologies, such as the integration of global satellite systems with inertial positioning. Furthermore, improvements in sensor technology, as well as the integration and fusion of sensors, were addressed both on a theoretical and on an implementation level. Personal and confidential data, such as location data of users, have p- found implications for personal information privacy. Thus privacy protection, privacy-oriented location-aware systems, and how privacy aspects the feasibility and usefulness of systems were also addressed in the workshop.
Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems : Results and Examples
Once again KAM theory is committed in the context of nearly integrable Hamiltonian systems. While elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form n-parameter families. Hence, without the need for untypical conditions or external parameters, torus bifurcations of high co-dimension may be found in a single given Hamiltonian system. The text moves gradually from the integrable case, in which symmetries allow for reduction to bifurcating equilibria, to non-integrability, where smooth parametrisations have to be replaced by Cantor sets. Planar singularities and their versal unfoldings are an important ingredient that helps to explain the underlying dynamics in a transparent way.
Levinas Concordance
The concrete impact of the Levinasian philosophy upon the variousdirections of thinking – from ontology and ethics to Jewish thought, theolo-gy, aesthetics or feminism – attests moreover the great significance of thissingular figure of our times.For more than three decades now his philosophy has come to be thesubject of many doctoral theses, articles and books. The complete “Levinasbibliography” counts currently thousands of titles in more than ten lan-guages. The important contribution that a Levinas Concordancewould bring asa valuable instrument for exegetes,
Lacroix and the Calculus
Lacroix and the Calculus is the first major study of Lacroix’s large Traité. It uses the unique and massive bibliography given by Lacroix to explore late 18th-century calculus, and the way it is reflected in Lacroix’s account. Several particular aspects are addressed in detail, including: the foundations of differential calculus, analytic and differential geometry, conceptions of the integral, and types of solutions of differential equations (singular/complete/general integrals, geometrical interpretations, and generality of arbitrary functions).
Knowledge Processing with Interval and Soft Computing
In particular, these chapters cover computing techniques for interval linear systems of equations, interval matrix singular-value decomposition, interval function approximation, and decision making with statistical and graph-based data processing. To enable these applications, the book presents a standards-based object-oriented interval computing environment in C++.
IUTAM symposium on elementary vortices and coherent structures : Significance in turbulence dynamics ; Proceedings of the IUTAM Symposium held at Kyoto International Community House, Kyoto, Japan, 26-28 October, 2004
This book contains 40 contributions presented there, the subjects of which cover vortex dynamics, coherent structures, chaotic advection and mixing, statistical properties of turbulence, rotating and stratified turbulence, instability and transition, dynamics of thin vortices, finite-time singularity, and superfluid turbulence. The book should be useful for readers of graduate and advanced levels in the field of fluid turbulence.
C*-algebras and Elliptic Theory II
This book consists of a collection of original, refereed research and expository articles on elliptic aspects of geometric analysis on manifolds, including singular, foliated and non-commutative spaces. There are contributions from leading specialists, and the book maintains a reasonable balance between research, expository and mixed papers.
C*-algebras and Elliptic Theory
This volume contains the proceedings of the conference on "C*-algebras and Elliptic Theory" held in Bedlewo, Poland, in February 2004. It consists of original research papers and expository articles focussing on index theory and topology of manifolds.The collection offers a cross-section of significant recent advances in several fields, the main subject being K-theory (of C*-algebras, equivariant K-theory). A number of papers is related to the index theory of pseudodifferential operators on singular manifolds (with boundaries, corners) or open manifolds. Further topics are Hopf cyclic cohomology, geometry of foliations, residue theory, Fredholm pairs and others.
Big Data Science in Finance
Explains the mathematics, theory, and methods of Big Data as applied to finance and investing Examines the mathematics, theory, and practical use of the revolutionary techniques that are transforming the industry. Designed for mathematically-advanced students and discerning financial practitioners alike, this energizing book presents new, cutting-edge content based on world-class research taught in the leading Financial Mathematics and Engineering programs in the world. Marco Avellaneda, a leader in quantitative finance, and quantitative methodology author Irene Aldridge help readers harness the power of Big Data. Provides a complete account of Big Data that includes proofs, step-by-step applications, and code samples Explains the difference between Principal Component Analysis (PCA) and Singular Value Decomposition (SVD) Covers vital topics in the field in a clear, straightforward manner Compares, contrasts, and discusses Big Data and Small Data Includes Cornell University-tested educational materials such as lesson plans, end-of-chapter questions, and downloadable lecture slides
Asymptotic Analysis and Boundary Layers
Presents a new method of asymptotic analysis of boundary-layer problems, the Successive Complementary Expansion Method (SCEM). The first part is devoted to a general comprehensive presentation of the tools of asymptotic analysis. It gives the keys to understand a boundary-layer problem and explains the methods to construct an approximation. The second part is devoted to SCEM and its applications in fluid mechanics, including external and internal flows. The advantages of SCEM are discussed in comparison with the standard Method of Matched Asymptotic Expansions. In particular, for the first time, the theory of Interactive Boundary Layer is fully justified. With its chapter summaries, detailed derivations of results, discussed examples and fully worked out problems and solutions, the book is self-contained.
Aspirin and omeprazole pellets
The objective of this study was to combine Aspirin and Omeprazole which are often used together in a singular capsule. Aspirin is a common drug for relieving minor aches, pains, and fevers. People also use it as an anti-inflammatory or a blood thinner. Because of its regular and continuous usage, it may cause peptic ulcers. Peptic ulcers are open sores that develop on the inside lining of your stomach and the upper portion of your small intestine which can be uncomfortable and painful. Consequently, people with ulcers resort to omeprazole to treat them...
Approximation of Additive Convolution-Like Operators : Real C*-Algebra Approach
Various aspects of numerical analysis for equations arising in boundary integral equation methods have been the subject of several books published in the last 15 years [95, 102, 183, 196, 198]. Prominent examples include various classes of o- dimensional singular integral equations or equations related to single and double layer potentials. Usually, a mathematically rigorous foundation and error analysis for the approximate solution of such equations is by no means an easy task. One reason is the fact that boundary integral operators generally are neither integral operatorsof the formidentity plus compact operatornor identity plus an operator with a small norm. Consequently, existing standard theories for the numerical analysis of Fredholm integral equations of the second kind are not applicable. In the last 15 years it became clear that the Banach algebra technique is a powerful tool to analyze the stability problem for relevant approximation methods [102, 103, 183, 189]. The starting point for this approach is the observation that the ? stability problem is an invertibility problem in a certain BanachorC -algebra. As a rule, this algebra is very complicated – and one has to ?nd relevant subalgebras to use such tools as local principles and representation theory.
