الصفحة 52
الصفحة 52
Frontiers in Planar Lightwave Circuit Technology : Design, Simulation, and Fabrication
This book is the result of the NATO Advanced Research Workshop on Frontiers in Planar Lightwave Circuit Technology, which took place in Ottawa, Canada from September 21-25, 2004. In this volume the reader will find detailed overviews of experimental and theoretical work in high index contrast waveguide systems, micro-optical resonators, nonlinear optics, and advanced optical simulation methods, as well as articles describing emerging applications of integrated optics for medical and biological applications.
Frontiers in Number Theory, Physics, and Geometry II : On Conformal Field Theories, Discrete Groups and Renormalization
The present book collects most of the courses and seminars delivered at the meetingentitled"FrontiersinNumberTheory, PhysicsandGeometry", which took place at the Centrede PhysiquedesHouches in theFrenchAlps, March9- 21,2003. Itisdividedintotwovolumes. VolumeIcontainsthecontributionson three broad topics: Random matrices, Zeta functions and Dynamical systems. The present volume contains sixteen contribution sonthreethemes:Conformal?eld theories for strings and branes, Discrete groups and automorphic forms and?nally, Hopf algebras and renormalization. The relation between Mathematics and Physics has a long history.
Frontiers in Number Theory, Physics, and Geometry I : On Random Matrices, Zeta Functions, and Dynamical Systems
This book presents pedagogical contributions on selected topics relating Number Theory, Theoretical Physics and Geometry. The parts are composed of long self-contained pedagogical lectures followed by shorter contributions on specific subjects organized by theme. Most courses and short contributions go up to the recent developments in the fields; some of them follow their author?s original viewpoints. There are contributions on Random Matrix Theory, Quantum Chaos, Non-commutative Geometry, Zeta functions, and Dynamical Systems. The chapters of this book are extended versions of lectures given at a meeting entitled Number Theory, Physics and Geometry, held at Les Houches in March 2003, which gathered mathematicians and physicists.
Frontiers in Algorithmics ; 14th International Workshop, FAW 2020, Haikou, China, October 19-21, 2020, Proceedings
This book constitutes the proceedings of the 14th International Workshop on Frontiers in Algorithmics, FAW 2020, held in Haikou, China, in May 2020. The conference was held virtually due to the COVID-19 pandemic. The 12 full papers presented in this volume were carefully reviewed and selected from 15 submissions. The workshop provides a focused forum on current trends of research on algorithms, discrete structures, and their applications, and brings together international experts at the research frontiers in these areas to exchange ideas and to present significant new results. The papers detail graph theory, scheduling and algorithm and complexity.
From X-ray Binaries to Quasars : Black Holes on All Mass Scales
This volume brings together contributions from many of the world's leading authorities on black hole accretion. The papers within represent part of a new movement to make use of the relative advantages of studying stellar mass and supermassive black holes and to bring together the knowledge gained from the two approaches. The topics discussed here run the gamut of the state of the art in black hole observational and theoretical work-variability, spectroscopy, disk-jet connections, and multi-wavelength campaigns on black holes are all covered.
From Object to Experience : The New Culture of Architectural Design
Combines a history of ideas about architectural experience with the latest insights from the fields of neuroscience, cognitive science and evolutionary biology to make a powerful argument about the nature and future of architectural design. Today, the sciences have granted us the tools to help us understand better than ever before the precise ways in which the built environment can affect the building user's individual experience. Through an understanding of these tools, architects should be able to become better designers, prioritizing the experience of space - the emotional and aesthetic responses, and the sense of homeostatic well-being, of those who will occupy any designed environment. In From Object to Experience, Mallgrave goes further, arguing that it should also be possible to build an effective new cultural ethos for architectural practice. Drawing upon a range of humanistic and biological sources, and emphasizing the far-reaching implications of new neuroscientific discoveries and models, this book brings up-to-date insights and theoretical clarity to a position that was once considered revolutionary but is fast becoming accepted in architecture
From Hahn-Banach to Monotonicity
In this new edition of LNM 1693 the essential idea is to reduce questions on monotone multifunctions to questions on convex functions. However, rather than using a “big convexification” of the graph of the multifunction and the “minimax technique”for proving the existence of linear functionals satisfying certain conditions, the Fitzpatrick function is used. The journey begins with a generalization of the Hahn-Banach theorem uniting classical functional analysis, minimax theory, Lagrange multiplier theory and convex analysis and culminates in a survey of current results on monotone multifunctions on a Banach space.
From Energetics to Ecosystems : the Dynamics and Structure of Ecological Systems
Ecosystems are complex and enigmatic entities that are ultimately our life support systems. Understanding these systems to the point of being able to predict their behaviour in the face of perturbations requires that researchers adopt a number of strategies that vary in both approach and scale. This book, in a sense, is representative of some of the developments that have unfolded when math and physics met ecology. Here, some of the world’s leading ecologists examine ecosystems from theoretical, experimental, and empirical viewpoints, from energetics to ecosystems. The book begins with simplifying and synthesizing nature’s complex relationships. It then moves on to explore the mapping between food web structure and function and ends with the role of theory in integrating different research areas. From the breadth of systems analyzed to the rigor of approaches taken, this book is not only a useful resource for students and researchers in ecology, but also serves as a fitting tribute to the life and work of Peter Yodzis.
Free Energy Calculations : Theory and Applications in Chemistry and Biology
This volume sets out to present a coherent and comprehensive account of the concepts that underlie different approaches devised for the determination of free energies. The reader will gain the necessary insight into the theoretical and computational foundations of the subject and will be presented with relevant applications from molecular-level modelling and simulations of chemical and biological systems. Both formally accurate and approximate methods are covered using both classical and quantum mechanical descriptions. A central theme of the book is that the wide variety of free energy calculation techniques available today can be understood as different implementations of a few basic principles.
Framing in Sustainability Science : Theoretical and Practical Approaches
This book offers both conceptual and empirical descriptions of how to “frame” sustainability challenges. It defines “framing” in the context of sustainability science as the process of identifying subjects, setting boundaries, and defining problems. The chapters are grouped into two sections: a conceptual section and a case section.
Framing global mathematics : The international mathematical union between theorems and politics
This book is about the shaping of international relations in mathematics over the last two hundred years. It focusses on institutions and organizations that were created to frame the international dimension of mathematical research. Today, striking evidence of globalized mathematics is provided by countless international meetings and the worldwide repository ArXiv. The text follows the sinuous path that was taken to reach this state, from the long nineteenth century, through the two wars, to the present day. International cooperation in mathematics was well established by 1900, centered in Europe. The first International Mathematical Union, IMU, founded in 1920 and disbanded in 1932, reflected above all the trauma of WW I. Since 1950 the current IMU has played an increasing role in defining mathematical excellence, as is shown both in the historical narrative and by analyzing data about the International Congresses of Mathematicians. For each of the three periods discussed, interactions are explored between world politics, the advancement of scientific infrastructures, and the inner evolution of mathematics. Readers will thus take a new look at the place of mathematics in world culture, and how international organizations can make a difference. Aimed at mathematicians, historians of science, scientists, and the scientifically inclined general public.
Fragmentation of Rings and Shells : The Legacy of N.F. Mott
The present book surveys the theoretical analysis put forth by Mott with particular focus on his efforts to characterize the size and distribution of fragments resulting from a dynamic fragmentation event. Copies of the original internal reports of Mott and his co-workers are included. The book also pursues additional theoretical analysis with the intent of delving further into the physical ideas and unfinished analysis implicit in Mott`s original studies. This book will be of interest to all scientists and engineers concerned with the dynamic fracture and fragmentation of solid bodies subject to intense transient loads imparted by explosive detonation and high-velocity impact from both the historical and modern perspective.
Fragile Families and the Marriage Agenda
Some social sciences contend that marriage is the solution to many of the problems associated with single-parent families. Other experts believe that government programs designed to raise marriage rates may cause more problems than they solve,The proposed volume will explore issues related to fragile families from many different perspectives on the causes and consequences of this issue. This book is divided up into sections covering legal and theoretical perspectives, causes and consequences of offspring wellbeing, and the aspect of father’s importance to the "fragile families".
Fractal Geometry, Complex Dimensions and Zeta Functions : Geometry and Spectra of Fractal Strings
Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. Key Features The Riemann hypothesis is given a natural geometric reformulation in the context of vibrating fractal strings Complex dimensions of a fractal string, defined as the poles of an associated zeta function, are studied in detail, then used to understand the oscillations intrinsic to the corresponding fractal geometries and frequency spectra Explicit formulas are extended to apply to the geometric, spectral, and dynamical zeta functions associated with a fractal Examples of such explicit formulas include a Prime Orbit Theorem with error term for self-similar flows, and a geometric tube formula The method of Diophantine approximation is used to study self-similar strings and flows Analytical and geometric methods are used to obtain new results about the vertical distribution of zeros of number-theoretic and other zeta functions Throughout new results are examined. The final chapter gives a new definition of fractality as the presence of nonreal complex dimensions with positive real parts, and discusses several open problems and extensions.
Fourth IFIP International Conference on Theoretical Computer Science - TCS 2006 ; IFIP 19th World Computer Congress, TC-1, Foundations of Computer Science, August 23-24, 2006, Santiago, Chile
The IFIP series publishes state-of-the-art results in the sciences and technologies of information and communication. The scope of the series includes: foundations of computer science; software theory and practice; education; computer applications in technology; communication systems; systems modeling and optimization; information systems; computers and society; computer systems technology; security and protection in information processing systems; artificial intelligence; and human-computer interaction. Proceedings and post-proceedings of referred international conferences in computer science and interdisciplinary fields are featured. These results often precede journal publication and represent the most current research. The principal aim of the IFIP series is to encourage education and the dissemination and exchange of information about all aspects of computing.
Foundations of software science and computation structures ; 21st International conference, FOSSACS 2018, Held as part of the European joint conferences on theory and practice of software, ETAPS 2018, Thessaloniki, Greece, April 14–20, 2018. proceedings
Contains the papers presented at the 21st International Conference on Foundations of Software Science and Computation Structures (FoSSaCS 2018), which was held April 16–19, 2018, in Thessaloniki, Greece. The conference is dedicated to foundational research with a clear significance for software science and brings together research on theories and methods to support the analysis, integration, synthesis,transformation, and verification of programs and software systems.
Foundations of Quantum Theory : From Classical Concepts to Operator Algebras
This book studies the foundations of quantum theory through its relationship to classical physics. This idea goes back to the Copenhagen Interpretation (in the original version due to Bohr and Heisenberg), which the author relates to the mathematical formalism of operator algebras originally created by von Neumann. The book therefore includes comprehensive appendices on functional analysis and C*-algebras, as well as a briefer one on logic, category theory, and topos theory. Matters of foundational as well as mathematical interest that are covered in detail include symmetry (and its "spontaneous" breaking), the measurement problem, the Kochen-Specker, Free Will, and Bell Theorems, the Kadison-Singer conjecture, quantization, indistinguishable particles, the quantum theory of large systems, and quantum logic, the latter in connection with the topos approach to quantum theory.
Foundations of learning classifier systems
This volume brings together recent theoretical work in Learning Classifier Systems (LCS), which is a Machine Learning technique combining Genetic Algorithms and Reinforcement Learning. It includes self-contained background chapters on related fields (reinforcement learning and evolutionary computation) tailored for a classifier systems audience and written by acknowledged authorities in their area - as well as a relevant historical original work by John Holland.
Foundations of information and knowledge systems ; 4th International Symposium, FoIKS 2006, Budapest, Hungary, February 14-17, 2006, Proceedings
This book constitutes the refereed proceedings of the 4th International Symposium on Foundations of Information and Knowledge Systems, held in February 2006. The 14 revised full papers presented together with three revised short papers and one invited paper were carefully reviewed and selected from 54 submissions. Among the topics covered are the theoretical foundations of information and knowledge systems, as well as mathematical fields such as discrete mathematics, combinatorics, logics and finite model theory, and applications thereof for research on database and knowledge base theory.
Foundations of Hyperbolic Manifolds
The book is divided into three parts. The first part is concerned with hyperbolic geometry and discrete groups. The main results are the characterization of hyperbolic reflection groups and Euclidean crystallographic groups. The second part is devoted to the theory of hyperbolic manifolds. The main results are Mostow’s rigidity theorem and the determination of the global geometry of hyperbolic manifolds of finite volume. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. The main result is Poincare«s fundamental polyhedron theorem.
