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This book presents and discusses the state of the art and future
perspectives in mathematical modeling and homogenization techniques
with the focus on addressing key physiological issues in the
context of multiphase healthy and malignant biological materials.
The highly interdisciplinary content brings together contributions
from scientists with complementary areas of expertise, such as pure
and applied mathematicians, engineers, and biophysicists. The book
also features the lecture notes from a half-day introductory course
on asymptotic homogenization. These notes are suitable for
undergraduate mathematics or physics students, while the other
chapters are aimed at graduate students and researchers.
Water supply- and drainage systems and mixed water channel systems
are networks whose high dynamic is determined and/or affected by
consumer habits on drinking water on the one hand and by climate
conditions, in particular rainfall, on the other hand. According to
their size, water networks consist of hundreds or thousands of
system elements. Moreover, different types of decisions (continuous
and discrete) have to be taken in the water management. The
networks have to be optimized in terms of topology and operation by
targeting a variety of criteria. Criteria may for example be
economic, social or ecological ones and may compete with each
other. The development of complex model systems and their use for
deriving optimal decisions in water management is taking place at a
rapid pace. Simulation and optimization methods originating in
Operations Research have been used for several decades; usually
with very limited direct cooperation with applied mathematics. The
research presented here aims at bridging this gap, thereby opening
up space for synergies and innovation. It is directly applicable
for relevant practical problems and has been carried out in
cooperation with utility and dumping companies, infrastructure
providers and planning offices. A close and direct connection to
the practice of water management has been established by involving
application-oriented know-how from the field of civil engineering.
On the mathematical side all necessary disciplines were involved,
including mixed-integer optimization, multi-objective and facility
location optimization, numerics for cross-linked dynamic
transportation systems and optimization as well as control of
hybrid systems. Most of the presented research has been supported
by the joint project "Discret-continuous optimization of dynamic
water systems" of the federal ministry of education and research
(BMBF).
Nowadays there is an increasing emphasis on all aspects of
adaptively gener ating a grid that evolves with the solution of a
PDE. Another challenge is to develop efficient higher-order
one-step integration methods which can handle very stiff equations
and which allow us to accommodate a spatial grid in each time step
without any specific difficulties. In this monograph a combination
of both error-controlled grid refinement and one-step methods of
Rosenbrock-type is presented. It is my intention to impart the
beauty and complexity found in the theoretical investigation of the
adaptive algorithm proposed here, in its realization and in solving
non-trivial complex problems. I hope that this method will find
many more interesting applications. Berlin-Dahlem, May 2000 Jens
Lang Acknowledgements I have looked forward to writing this section
since it is a pleasure for me to thank all friends who made this
work possible and provided valuable input. I would like to express
my gratitude to Peter Deuflhard for giving me the oppor tunity to
work in the field of Scientific Computing. I have benefited
immensly from his help to get the right perspectives, and from his
continuous encourage ment and support over several years. He
certainly will forgive me the use of Rosenbrock methods rather than
extrapolation methods to integrate in time."
Nowadays there is an increasing emphasis on all aspects of
adaptively gener ating a grid that evolves with the solution of a
PDE. Another challenge is to develop efficient higher-order
one-step integration methods which can handle very stiff equations
and which allow us to accommodate a spatial grid in each time step
without any specific difficulties. In this monograph a combination
of both error-controlled grid refinement and one-step methods of
Rosenbrock-type is presented. It is my intention to impart the
beauty and complexity found in the theoretical investigation of the
adaptive algorithm proposed here, in its realization and in solving
non-trivial complex problems. I hope that this method will find
many more interesting applications. Berlin-Dahlem, May 2000 Jens
Lang Acknowledgements I have looked forward to writing this section
since it is a pleasure for me to thank all friends who made this
work possible and provided valuable input. I would like to express
my gratitude to Peter Deuflhard for giving me the oppor tunity to
work in the field of Scientific Computing. I have benefited
immensly from his help to get the right perspectives, and from his
continuous encourage ment and support over several years. He
certainly will forgive me the use of Rosenbrock methods rather than
extrapolation methods to integrate in time.
Water supply- and drainage systems and mixed water channel systems
are networks whose high dynamic is determined and/or affected by
consumer habits on drinking water on the one hand and by climate
conditions, in particular rainfall, on the other hand. According to
their size, water networks consist of hundreds or thousands of
system elements. Moreover, different types of decisions (continuous
and discrete) have to be taken in the water management. The
networks have to be optimized in terms of topology and operation by
targeting a variety of criteria. Criteria may for example be
economic, social or ecological ones and may compete with each
other. The development of complex model systems and their use for
deriving optimal decisions in water management is taking place at a
rapid pace. Simulation and optimization methods originating in
Operations Research have been used for several decades; usually
with very limited direct cooperation with applied mathematics. The
research presented here aims at bridging this gap, thereby opening
up space for synergies and innovation. It is directly applicable
for relevant practical problems and has been carried out in
cooperation with utility and dumping companies, infrastructure
providers and planning offices. A close and direct connection to
the practice of water management has been established by involving
application-oriented know-how from the field of civil engineering.
On the mathematical side all necessary disciplines were involved,
including mixed-integer optimization, multi-objective and facility
location optimization, numerics for cross-linked dynamic
transportation systems and optimization as well as control of
hybrid systems. Most of the presented research has been supported
by the joint project "Discret-continuous optimization of dynamic
water systems" of the federal ministry of education and research
(BMBF).
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The Moral Psychology of Envy (Hardcover)
Sara Protasi; Contributions by Alfred Archer, Miriam Bankovsky, Vanessa Carbonell, Christina Chuang, …
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R3,741
Discovery Miles 37 410
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Ships in 10 - 15 working days
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Envy is a vicious and shameful response to the good fortune of
others, one that ruins friendships and plagues societies-or so the
common thinking goes, shaped by millennia of religious and cultural
condemnation. Envy's bad reputation is not completely unwarranted;
envy can indeed motivate malicious and counterproductive behavior
and may strain or even tear apart relations between people.
However, that is not always the case. Investigating the complex
nature of this emotion reveals that it plays important functions in
social hierarchies and it can motivate one to self-improve and even
to achieve moral virtue. Philosophers and psychologists in this
volume explore envy's characteristics in different cultures,
spanning from small hunter-gatherer communities to large
industrialized countries, and contexts as diverse as academia,
marketing, artificial intelligence, and Buddhism. They explore
envy's role in both the personal and the political sphere, showing
the many ways in which envy can either contribute or detract to our
flourishing as individuals and as citizens of modern democracies.
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