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Electrodynamics of metamaterials
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ISBN: 9789810242459 981024245X Year: 2007 Publisher: Singapore World Scientific

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Electrodynamics of metamaterials
Authors: ---
ISBN: 1281933651 9786611933654 9812790993 9789812790996 9781281933652 9789810242459 981024245X 6611933654 Year: 2007 Publisher: Singapore ; London : World Scientific,

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Light is in a sense "one-handed" when interacting with atoms of conventional materials. This is because out of the two field components of light, electric and magnetic, only the electric "hand" efficiently probes the atoms of a material, whereas the magnetic component remains relatively unused because the interaction of atoms with the magnetic field component of light is normally weak. Metamaterials, i.e. artificial materials with rationally designed properties, can enable the coupling of both of the field components of light to meta-atoms, enabling entirely new optical properties and exciting applications with such "two-handed" light. Among the fascinating properties is a negative refractive index. The refractive index is one of the most fundamental characteristics of light propagation in materials. Metamaterials with negative refraction may lead to the development of a superlens capable of imaging objects and their fine structures that are much smaller than the wavelength of light. Other exciting applications of metamaterials include novel antennae with superior properties, optical nano-lithography and nano-circuits, and "meta-coatings" that can make objects invisible. The word "meta" means "beyond" in Greek, and in this sense the name "metamaterials" refers to "beyond conventional materials". Metamaterials are typically man-made and have properties not available in nature. What is so magical about this simple merging of "meta" and "materials" that has attracted so much attention from researchers and has resulted in exponential growth in the number of publications in this area? The answer you can find in this book.


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Electromagnetic field fluctuations and optical nonlinearities in metal-dielectric composites
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Year: 2000 Publisher: Amsterdam Elsevier/North-Holland

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Mathematical control theory and finance.
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ISBN: 9783540695318 Year: 2008 Publisher: Berlin Springer

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Mathematical Control Theory and Finance
Authors: --- --- ---
ISBN: 1281491616 9786611491611 354069532X 3540695311 3642089089 Year: 2008 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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This book highlights recent developments in mathematical control theory and its applications to finance. It presents a collection of original contributions by distinguished scholars, addressing a large spectrum of problems and techniques. Control theory provides a large set of theoretical and computational tools with applications in a wide range of fields, ranging from "pure" areas of mathematics up to applied sciences like finance. Stochastic optimal control is a well established and important tool of mathematical finance. Other branches of control theory have found comparatively less applications to financial problems, but the exchange of ideas and methods has intensified in recent years. This volume should contribute to establish bridges between these separate fields. The diversity of topics covered as well as the large array of techniques and ideas brought in to obtain the results make this volume a valuable resource for advanced students and researchers.


Digital
Mathematical Control Theory and Finance
Authors: --- --- ---
ISBN: 9783540695325 Year: 2008 Publisher: Berlin, Heidelberg Springer-Verlag Berlin Heidelberg

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Geometric Control Theory and Sub-Riemannian Geometry
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ISBN: 331902132X 3319021311 1322133670 Year: 2014 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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This volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry. On the one hand, Geometric Control Theory used the differential geometric and Lie algebraic language for studying controllability, motion planning, stabilizability and optimality for control systems. The geometric approach turned out to be fruitful in applications to robotics, vision modeling, mathematical physics etc. On the other hand, Riemannian geometry and its generalizations, such as  sub-Riemannian, Finslerian  geometry etc., have been actively adopting methods developed in the scope of geometric control. Application of these methods  has led to important results regarding geometry of sub-Riemannian spaces, regularity of sub-Riemannian distances, properties of the group  of diffeomorphisms of sub-Riemannian manifolds, local geometry and equivalence of distributions and sub-Riemannian structures, regularity of the Hausdorff volume.


Book
Mathematical Control Theory and Finance
Authors: --- --- --- ---
ISBN: 9783540695325 Year: 2008 Publisher: Berlin Heidelberg Springer Berlin Heidelberg

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Abstract

This book highlights recent developments in mathematical control theory and its applications to finance. It presents a collection of original contributions by distinguished scholars, addressing a large spectrum of problems and techniques. Control theory provides a large set of theoretical and computational tools with applications in a wide range of fields, ranging from "pure" areas of mathematics up to applied sciences like finance. Stochastic optimal control is a well established and important tool of mathematical finance. Other branches of control theory have found comparatively less applications to financial problems, but the exchange of ideas and methods has intensified in recent years. This volume should contribute to establish bridges between these separate fields. The diversity of topics covered as well as the large array of techniques and ideas brought in to obtain the results make this volume a valuable resource for advanced students and researchers.


Digital
Geometric Control Theory and Sub-Riemannian Geometry
Authors: --- --- --- ---
ISBN: 9783319021324 Year: 2014 Publisher: Cham Springer International Publishing

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Abstract

This volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry. On the one hand, Geometric Control Theory used the differential geometric and Lie algebraic language for studying controllability, motion planning, stabilizability and optimality for control systems. The geometric approach turned out to be fruitful in applications to robotics, vision modeling, mathematical physics etc. On the other hand, Riemannian geometry and its generalizations, such as  sub-Riemannian, Finslerian  geometry etc., have been actively adopting methods developed in the scope of geometric control. Application of these methods  has led to important results regarding geometry of sub-Riemannian spaces, regularity of sub-Riemannian distances, properties of the group  of diffeomorphisms of sub-Riemannian manifolds, local geometry and equivalence of distributions and sub-Riemannian structures, regularity of the Hausdorff volume.

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