Mathematics - General

In this work we identify the main concepts of Aspect Orientation (AO), namely message filters and an aspect weaver. In doing so, we substantiate these notions by defining a composition model based on the formal language FOCUS and a model of composition filters designed...

Almost any kind of application requires the analysis of functions or data. In order to analyze them, they are decomposed into simple building blocks. Such methods are not only used in mathematics, but also in physics, eletrical engeneering, seismic geology, wireless communication, target detection,...

Author: Boris RankovISBN-10: 3832517448ISBN-13: 9783832517441Publisher: Logos Verlag BerlinLanguage: EnglishPublished: 11/30/2007Pages: 214Format: Paperback

Die vorliegende Dissertation behandelt grundlegende inverse Probleme der diskreten Tomographie im Fall von gewissen Delone Mengen, die, wie beispielsweise Gitter, eine weitreichende Ordnungsstruktur aufweisen. Als wichtigste Klasse wird die diskreteTomographie von Systemen aperiodischer Ordnung, genauer, von Streifenprojektionsmengen (auch Quasigitter oder mathematischeQuasikristalle genannt), studiert. Wir...

The Jak/Stat1 signalling pathway is a prototypical example of a direct signal transduction system which relays external signals directly from the receptor located at the cellular membrane to its nuclear target genes. This work seeks to acquire a comprehensive theoretical understanding of the quantitative...

The focus of the thesis is placed on macroscopic traffic flow models on networks and corresponding optimal control problems. We present a multi-class traffic model on traffic flow networks that respects driver's destination preferences, i.e., everyone arrives at their desired destination. The result is...

The minimum graph bisection problem is a special kind of a graph partitioning problem, where the nodes of a weighted graph are divided into two subsets with prescribed capacity, and the weighted sum of edges joining nodes in different subsets is minimized. Due to...

This book evolved over a period of years as the author taught classes in numerical analysis, optimization theory and optimal control to graduate students in mathematics and engineering. The material presented in this monograph is the result of author's work at the E.M.A. University...

This thesis is concerned with the application of wavelet methods to the adaptive numerical solutionof elliptic and parabolic operator equations over a polygonal domain. Driven by the insight that the construction of wavelet bases on more general domains is complicated and may pose stability...

The origins of von Neumann-regular rings and *-regular rings are the works of John von Neumann and F. J. Murray during the 30ies of the last century. They constitute a connection of the areas of operator theory, ring theory and lattice theory. Starting from...

Within the last two decades, wavelet analysis has become a very powerful tool in applied mathematics. Wavelet algorithms have been successfully applied in signal analysis and compression as well as in numerical analysis, geophysics, meteorology and in many other fields. Usually, wavelets are constructed...

his book systematically discusses a basic problem in combinatorics on words: the ambiguity of morphisms, i. e. the question of whether, for any finite string s and any given morphism h, there is another morphism g satisfying g(s)=h(s). These studies yield a characterisation of...

Mutual Information belongs to the most popular and powerful tools for multi-modal image registration. Nevertheless, its handling is involved, and despite a wide spread use in a large number of applications no standard treatment exists. Here, we present both theory and numerics for non-linear...

Combining different methodologies in the field of soft computing as rule based fuzzy classification systems, fuzzy clustering methods and neural networks like multilayer perceptrons, enables us to combine their advantages. As this work shows that the well known and commonly used fuzzy max-min classification...

Modelling electrical circuits leads to differential algebraic equations (DAEs) having a properly stated leading term. These equations need to be solved numerically, e.g. in case of a transient analysis of the given circuit. Classical methods such as linear multistep methods or Runge-Kutta schemes suffer...

his thesis is concerned with the finite element analysis and the a posteriori error estimation for eigenvalue problems for general operator pencils on two-dimensional manifolds. A specific application of the presented theory is the computation of corner singularities. Engineers use the knowledge of the...

Survival analysis is concerned with the analysis of events occuring over time. Many regression models have been suggested to describe the relation of covariates to these events. Model checks can be used to determine whether a certain model is not suitable for a given...

Biological invasions are a severe ecological problem threatening biodiversity and causing substantial economic damages. Mathematical models of spatiotemporal spread have proven to be powerful tools in identifying the underlying mechanisms, thus contributing to the understanding of the factors that determine invasion processes and to...

Die vorliegende Dissertation beschaftigt sich mit der Formulierung und Losung eines mathematischen Modells zur integrierten Optimierung der Schulanfangszeiten und des Nahverkehrsangebots, kurz: IOSANA. Ziel ist es, die Schulanfangszeiten in die Optimierung der Abfahrtszeiten und derUmlaufe von Bussen des offentlichen Personennahverkehrs (OPNV) einzubeziehen, um auf...

Nonconvex variational problems are of importance in modeling problems of microstructures and elasticity. In this book, we consider a $1$-d nonconvex problem and we prove existence of solutions of the corresponding non-elliptic Euler-Lagrange equation by considering the Euler-Lagrange equation of the singular perturbed variational...

The holomorphic functional calculus for sectorial unbounded operators is an extension of the classical Dunford calculus for bounded operators. The interest in this calculus is motivated by the Kato square root problem and applications to the operator-sum method introduced by DaPrato and Grisvard to...

This work describes the development of the new discrete ordinate scattering algorithm, which is a part of the Atmospheric Radiative Transfer Simulator (ARTS). Furthermore, applications of the algorithm, which was implemented to study for example the influence of cirrus clouds on microwave limb sounding,...

Automatic fact retrieval from text documents is becoming one of the key technologies for the Information Age. One category of Intelligent Information Systems aims at supporting the user in search and retrieval of precious information from data resources like intranets or the World Wide...

Variational problems involving nonlocal terms are of growing importance in the mathematical modeling of microstructures that occur in solid-solid phase transitions. For a model describing an austenite / twinned martensite interface, it is conjectured that the minimizers are highly oscillating near-periodic functions. The nonlocality,...

Traffic flow has been a continuous source of challenging mathematical problems. The following work is dedicated to recent questions in modeling, simulation and optimization of traffic flow networks. Mathematics can help to solve traffic problems in different ways. Modelling provides fundamental understanding of traffic...

This dissertation describes the design, implementation, and evaluation of an audio watermarking algorithm on the basis of a statistical mathematical model. The design of the basic audio watermarking method, relying on hypothesis testing, is motivated by a discussion of possible application scenarios determining algorithmic...

In dieser Dissertation werden katalytisch interagierende Fellersche Diffusionen untersucht. Der betrachtete Prozess ist ein katalytisches Zweitypenmodell; er wird definiert als Losung eines abzahlbaren Systems stochastischer Differentialgleichungen.Die Betrachtungen umfassen folgende Punkte:1. Zunachst wird das Langzeitverhaltens auf den unendlichen Gittern analysiert. Hier ist insbesondere der sogenannte...

The volume includes the proceedings from the conference FOL75 -- 75 Years of First-Order Logic held at Humboldt University, Berlin, September 18 - 21, 2003 on the occasion of the anniversary of the publication of Hilbert's and Ackermann's Grundzuge der theoretischen Logik. The papers...

Certain classes of partial differential equations generically give rise to solutions with strong directional features, e.g. with boundary layers. Such solutions are called anisotropic. Their discretization by means of the finite element method (for example) can favourably employ so-called anisotropic meshes. These meshes are...

In this thesis we see deductive systems for classical propositionaland predicate logic which use deep inference, i.e. inference rules apply arbitrarily deep inside formulas, and a certain symmetry, which provides an involution on derivations. Like sequent systems, they have a cut rule which is...

This dissertation shows that information assurance properties can be both specified within a formal model of systems to which the properties are applied using the same formal theory for modeling, specification, and reasoning and enforced in such a way that enforcement is performed consistently...

This volume contains the papers on optimization presented to the 11th conference on Methods and Techniques of Mathematical Physics , held on December 1-7, 1985 at the Mathematisches Forschungsinstitut Oberwolfach.Author: Bruno BrosowskiISBN-10: 382049894XISBN-13: 9783820498943Publisher: Peter Lang Gmbh, Internationaler Verlag Der WLanguage: EnglishPublished: 12/31/1987Pages: 194Format:...

A representation in terms of explicitly given generalized eigenfunctions is obtained for the semigroup S(t) = exp(-ixt) solving the Cauchy problem for the time-dependent Maxwell equations in the case of two distinct media filling the upper and lower half spaces of R3, whereby the...

This volume contains the papers on problems of applied analysis presented to the 11th conference on Methods and Techniques of Mathematical Physics , held on December 1-7, 1985 at the Mathematisches Forschungsinstitut Oberwolfach.Author: Bruno BrosowskiISBN-10: 3820498389ISBN-13: 9783820498387Publisher: Peter Lang Gmbh, Internationaler Verlag Der WLanguage:...

This volume contains the papers on dynamical problems im mathematical physics presented to the 10th Conference on Methoden und Verfahren der Mathematischen Physik , held on February 21-27, 1982 at the Mathematisches Forschungsinstitut Oberwolfach .Author: Bruno BrosowskiISBN-10: 3820476288ISBN-13: 9783820476286Publisher: Peter Lang Gmbh, Internationaler Verlag...

This volume contains the papers on approximation and optimization in mathematical physics presented to the 10th Conference on Methoden und Verfahren der Mathematischen Physik , held on February 21-27, 1982 at the Mathematisches Forschungsinstitut Oberwolfach .Author: Bruno BrosowskiISBN-10: 3820476318ISBN-13: 9783820476316Publisher: Peter Lang Gmbh, Internationaler...

Representation of analytical and numerical methods for the treatment of special fluid mechanical problems. Further, some contributions to the foundations of the Navier-Stokes-equations and some important experimental results. Vorwiegend analytische und numerische Verfahren zur Behandlung von speziellen strömungsmechanischen Problemen, aber auch Beiträge zu Grundlagenfragen...

The kinetic theory of gases is a most fruitful field for mathematical research. This is evident from the multiplicity of mathematical methods used, the originality of the questions posed and the large number of hitherto unsolved fundamental problems. For example, the question of existence...

At the Conference in Oberwolfach organized by Prof. R. Kress and Prof. J. Wick questions on mathematical methods of plasmaphysics were being dealt with. This book contains the papers presented at this Conference by the following mathematicians and physicists: Klaus Elsässer, K. Graf Finck...

Selected topical problems of mathematical physics are being dealt with by emphasizing methodical aspects. For this reason also questions regarding mathematical model building are being discussed. The book contains the papers presented at the Conference in Oberwolfach organized by Prof. Dr. B. Brosowski and...

This book contains three studies. The first study investigates the relationship between private equity investors and fund managers and how intermediaries can mitigate their agency problems. The incentive structure of three intermediary types and their behavior in signaling fund qualities to investors are studied...

The volume contains original articles and survey papers on approximation theory (e.g. approximation by polynomial and rational functions, approximation by operators, orthogonal polynomials, meromorphic functions), optimization (e.g. integer, nonlinear, quadratic, multi-objective, fractional, semiinfinite), control theory (e.g. singular control problems), equations and inequalities (e.g. complexity),...

This volume contains papers presented at the 13th conference on Methods and Techniques of Mathematical Physics held on December 12-18, 1993, at the Mathematisches Forschungsinstitut Oberwolfach. The central theme is inverse problems in acoustics, electromagnetics, elasticity and potential theory. The conference was dedicated to...

In Logic Programming ( 25 and 26) the language of logic is used as a declarative programming language. Prolog uses resolution as its underlying proof mechanism. The logical structure of relational databases is explained ( 27) in set theoretical terms and it is shown...

The book is devoted to nonlinear mathematical problems encountered in modern structural design: shape optimization and smart materials. In the first part a method of sensitivity calculations for singular elliptic problems is proposed and its correctness as well as some properties are proved. Examples...

The problems of determining the surface temperature and the surface heat flux, the capacity of the heat transfer coefficient from transient temperature measurements at one or more locations are frequently arising in many practical engineering contexts. These so-called inverse heat conduction problems (IHCPs) have...

In 1896 A. Sommerfeld published his famous paper Zur Theorie der Diffraktion in vol. 47 of the Mathematische Annalen . His investigations initiated the study of boundary value problems in scattering theory. A long series of research works on general mixed boundary value problems...

This series brings essays on applied mathematics and mathematical physics. These essays study the basic scientific resp. technical problems and examine also the methods to deal with them up to the acquirement of the finally interesting solution in practice. The mathematician is to come...

An easy read for a very complex topic.Uncover hidden truths and redefine your understanding of history with Serpents of Knowledge! Explore the mysteries of ancient civilizations, from the enigmatic Egyptian pyramids to the evolution of the human brain. This isn't just a book; it's...

This book is designed to help you learn your addition number facts. The goal is for you to have instant recall of each addition fact. The Speed Wheel Drills make learning fun! Use a timer and see how your speed and accuracy improve with...