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Dieses Sammelwerk gibt neben einer Einfuhrung in die makroskopische
Anatomie der Regenbogenforelle eine detaillierte Beschreibung der
Histologie der einzelnen Organe bzw. Organsysteme dieses in Europa
weit verbreiteten Aquakulturfisches. Jedem Organsystem ist ein
allgemeiner einfuhrender Text vorangestellt; die einzelnen
Abbildungen werden zusatzlich erlautert. Gerade im Hinblick auf die
standig wachsende Zahl von Fischerkrankungen ist die Dokumentation
der Histologie gesunder Forellen ein wertvolles Nachschlagewerk.
Die "Lose-Blatt-Form" erlaubt eine bequeme Verwendung am
Arbeitsplatz."
This book aims the optimal design of a material (thermic or
electrical) obtained as the mixture of a finite number of original
materials, not necessarily isotropic. The problem is to place these
materials in such a way that the solution of the corresponding
state equation minimizes a certain functional that can depend
nonlinearly on the gradient of the state function. This is the main
novelty in the book. It is well known that this type of problems
has no solution in general and therefore that it is needed to work
with a relaxed formulation. The main results in the book refer to
how to obtain such formulation, the optimality conditions, and the
numerical computation of the solutions. In the case of functionals
that do not depend on the gradient of the state equation, it is
known that a relaxed formulation consists of replacing the original
materials with more general materials obtained via homogenization.
This includes materials with different properties of the originals
but whose behavior can be approximated by microscopic mixtures of
them. In the case of a cost functional depending nonlinearly on the
gradient, it is also necessary to extend the cost functional to the
set of these more general materials. In general, we do not dispose
of an explicit representation, and then, to numerically solve the
problem, it is necessary to design strategies that allow the
functional to be replaced by upper or lower approximations. The
book is divided in four chapters. The first is devoted to recalling
some classical results related to the homogenization of a sequence
of linear elliptic partial differential problems. In the second
one, we define the control problem that we are mainly interested in
solving in the book. We obtain a relaxed formulation and their main
properties, including an explicit representation of the new cost
functional, at least in the boundary of its domain. In the third
chapter, we study the optimality conditions of the relaxed problem,
and we describe some algorithms to numerically solve the problem.
We also provide some numerical experiments carried out using such
algorithms. Finally, the fourth chapter is devoted to briefly
describe some extensions of the results obtained in Chapters 2 and
3 to the case of dealing with several state equations and the case
of evolutive problems. The problems covered in the book are
interesting for mathematicians and engineers whose work is related
to mathematical modeling and the numerical resolution of optimal
design problems in material sciences. The contents extend some
previous results obtained by the author in collaboration with other
colleagues.
This practical book shows the procedure to integrate, in a
practical way, empirical propagation methods with geographical
information systems (GIS) to obtain the radio coverage in open
environments. It includes the theoretical explanation of empirical
methods and GIS but as a basis to develop a real tool that combines
both aspects to provide the user a suitable method for the wireless
network planning in urban areas. The book introduces the empirical
propagation methods and their application to wireless network
planning. The motivation for combining them with the information
obtained from geographical information systems is illustrated as
well as their application to real situations. The most important
empirical methods used to calculate the propagation in open
environments are reviewed. Focus is given to the geometrical
information needed to prove the necessity of obtaining some
geographical information if these methods must be applied to
realistic network planning. A review of the most important GIS is
also described. The advantages and disadvantages of every system is
analyzed from the point of view of its integration with an
empirical propagation method. An application that combines a
geographical information system with an empirical propagation
method is fully described. The practical features of this
integration are completely studied to allow an engineer to use and
develop his own tool. Examples are given in each chapter to fully
describe and illustrate the process.
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