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In times of rapidly changing social worlds and an ever more fragile controllability of the law, international legal comparison obtains increasing relevance. Frequently, similar or even identical questions and problems must be answered and solved in different legal communities, but there is rarely a single answer or solution. For a decade, the Faculty of Law of the University of Göttingen and the Yonsei Law School in Seoul (Republic of Korea) have engaged in continuous dialogue about both current and fundamental questions of legal reform. In October 2018, the fifth German-Korean Symposium took place. The lectures and presentations covered highly relevant aspects of public environmental law, insolvency proceeding, law of criminal sanctions and law of the constitution of the criminal courts as well as computer crime, including historic and philosophical foundations of the law. This volume combines the elementary contributions and makes them accessible for the interested professional public. In einer Zeit der sich beschleunigt verändernden sozialen Welten und einer immer fragiler werdenden Steuerungsfähigkeit des Rechts gewinnt der internationale Rechtsvergleich wachsende Bedeutung: Nicht selten begegnen in verschiedenen Rechtsgemeinschaften ähnliche oder gar dieselben Fragen und Probleme, auf die es aber selten nur eine einzige Antwortmöglichkeit gibt. Schon seit einem Jahrzehnt befinden sich die Juristische Fakultät der Universität Göttingen mit der Yonsei Law School in Seoul (Südkorea) in einem kontinuierlichen Dialog über ebenso aktuelle wie grundlegende Reformfragen des Rechts. Im Oktober 2018 fand bereits zum fünften Mal ein deutsch-koreanisches Symposium statt; die Vorträge und Präsentationen umfassten zu diesem Anlass hochbedeutsame Aspekte des öffentlichen Umweltrechts, des Insolvenzverfahrens, des strafrechtlichen Sanktionen- und Strafgerichtsverfassungsrechts sowie der Computerkriminalität mitsamt ausgewählten historischen und philosophischen Grundlagen des Rechts. Die wesentlichen Beiträge sind in diesem Band zusammengeführt und werden der interessierten Fachöffentlichkeit zugänglich gemacht.

Law --- law --- controllability --- comparison

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Differential equations with impulses arise as models of many evolving processes that are subject to abrupt changes, such as shocks, harvesting, and natural disasters. These phenomena involve short-term perturbations from continuous and smooth dynamics, whose duration is negligible in comparison with the duration of an entire evolution. In models involving such perturbations, it is natural to assume these perturbations act instantaneously or in the form of impulses. As a consequence, impulsive differential equations have been developed in modeling impulsive problems in physics, population dynamics, ecology, biotechnology, industrial robotics, pharmacokinetics, optimal control, and so forth. There are also many different studies in biology and medicine for which impulsive differential equations provide good models. During the last 10 years, the authors have been responsible for extensive contributions to the literature on impulsive differential inclusions via fixed point methods. This book is motivated by that research as the authors endeavor to bring under one cover much of those results along with results by other researchers either affecting or affected by the authors' work. The questions of existence and stability of solutions for different classes of initial value problems for impulsive differential equations and inclusions with fixed and variable moments are considered in detail. Attention is also given to boundary value problems. In addition, since differential equations can be viewed as special cases of differential inclusions, significant attention is also given to relative questions concerning differential equations. This monograph addresses a variety of side issues that arise from its simpler beginnings as well.

Boundary value problems. --- Differential equations. --- Prediction theory. --- Stochastic processes. --- Random processes --- Probabilities --- Forecasting theory --- Stochastic processes --- 517.91 Differential equations --- Differential equations --- Boundary conditions (Differential equations) --- Functions of complex variables --- Mathematical physics --- Initial value problems --- Boundary Value Problem. --- Condensing. --- Contraction. --- Controllability. --- Differential Inclusion. --- Filippov's Theorem. --- Hyperbolic Differential Inclusion. --- Impulsive Functional Differential Equation. --- Infinite Delay. --- Normal Cone. --- Relaxation. --- Seeping Process. --- Stability. --- Stochastic Differential Equation. --- Variable Times. --- Viable Solution.

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Electromagnetic complex media are artificial materials that affect the propagation of electromagnetic waves in surprising ways not usually seen in nature. Because of their wide range of important applications, these materials have been intensely studied over the past twenty-five years, mainly from the perspectives of physics and engineering. But a body of rigorous mathematical theory has also gradually developed, and this is the first book to present that theory. Designed for researchers and advanced graduate students in applied mathematics, electrical engineering, and physics, this book introduces the electromagnetics of complex media through a systematic, state-of-the-art account of their mathematical theory. The book combines the study of well posedness, homogenization, and controllability of Maxwell equations complemented with constitutive relations describing complex media. The book treats deterministic and stochastic problems both in the frequency and time domains. It also covers computational aspects and scattering problems, among other important topics. Detailed appendices make the book self-contained in terms of mathematical prerequisites, and accessible to engineers and physicists as well as mathematicians.

Electromagnetism --- Stochastic control theory. --- Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- Control theory --- Stochastic processes --- Mathematics. --- AtkinsonЗilcox expansion theorem. --- Beltrami fields. --- Faedo-Galerkin approach. --- Herglotz wave functions. --- Hilbert Uniqueness method. --- Maxwell equations. --- Maxwell operator. --- PDEs. --- applied mathematics. --- auxiliary elliptic problems. --- boundary controllability. --- boundary integral equation. --- boundary value problem. --- chiral material. --- chiral media. --- chirality. --- compact embeddings. --- complex electromagnetic media. --- complex media. --- constitutive relations. --- controllability problem. --- controllability. --- decompositions. --- differential equations. --- dispersive media. --- dyadics. --- eigenvalue problems. --- electric flux density. --- electrical engineering. --- electromagnetic complex media. --- electromagnetic fields. --- electromagnetic media. --- electromagnetic wave scattering. --- electromagnetic waves. --- electromagnetics. --- evolution family approach. --- evolution operators. --- evolution problems. --- exterior problems. --- finite-dimensional space. --- fixed point approach. --- frequency. --- function spaces. --- general scattering theorem. --- generalised integral transforms. --- geometry. --- handedness. --- homogenisation problem. --- homogenisation. --- homogenised media. --- homogenised system. --- infinite Frchet differentiability. --- integrodifferential equations. --- integrodifferential evolution equation. --- interior domain problem. --- magnetic flux density. --- mathematical modelling. --- mathematical theory. --- nonlinear PDEs. --- nonlinear model. --- nonlinear phenomena. --- nonlinear problems. --- nonlinearity. --- operators. --- optical theorem. --- penetrable obstacle. --- perfectly conducting obstacle. --- periodic media. --- physics. --- plane electromagnetic waves. --- reciprocity principle. --- scattering problems. --- scattering process. --- scattering theories. --- scattering theory. --- semigroup approach. --- semigroup arguments. --- semigroup-based approach. --- solvability. --- spaces. --- spectral theory. --- standard differential. --- stochastic integrodifferential equations. --- time domain. --- time-harmonic electromagnetic wave. --- time-harmonic problems. --- time. --- trace operators. --- two-scale expansion. --- variational formulation. --- vector analysis. --- wave motions. --- wave operators. --- well posedness.

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It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete analogues of differential equations. These types of equations started to be used intensively during the last several years for their multiple applications, particularly in complex chaotic behavior. A certain class of differential and related difference equations is represented by their respective fractional forms, which have been utilized to better describe non-local phenomena appearing in all branches of science and engineering. The purpose of this book is to present some common results given by mathematicians together with physicists, engineers, as well as other scientists, for whom differential and difference equations are valuable research tools. The reported results can be used by researchers and academics working in both pure and applied differential equations.

dynamic equations --- time scales --- classification --- existence --- necessary and sufficient conditions --- fractional calculus --- triangular fuzzy number --- double-parametric form --- FRDTM --- fractional dynamical model of marriage --- approximate controllability --- degenerate evolution equation --- fractional Caputo derivative --- sectorial operator --- fractional symmetric Hahn integral --- fractional symmetric Hahn difference operator --- Arrhenius activation energy --- rotating disk --- Darcy–Forchheimer flow --- binary chemical reaction --- nanoparticles --- numerical solution --- fractional differential equations --- two-dimensional wavelets --- finite differences --- fractional diffusion-wave equation --- fractional derivative --- ill-posed problem --- Tikhonov regularization method --- non-linear differential equation --- cubic B-spline --- central finite difference approximations --- absolute errors --- second order differential equations --- mild solution --- non-instantaneous impulses --- Kuratowski measure of noncompactness --- Darbo fixed point --- multi-stage method --- multi-step method --- Runge–Kutta method --- backward difference formula --- stiff system --- numerical solutions --- Riemann-Liouville fractional integral --- Caputo fractional derivative --- fractional Taylor vector --- kerosene oil-based fluid --- stagnation point --- carbon nanotubes --- variable thicker surface --- thermal radiation --- differential equations --- symmetric identities --- degenerate Hermite polynomials --- complex zeros --- oscillation --- third order --- mixed neutral differential equations --- powers of stochastic Gompertz diffusion models --- powers of stochastic lognormal diffusion models --- estimation in diffusion process --- stationary distribution and ergodicity --- trend function --- application to simulated data --- n-th order linear differential equation --- two-point boundary value problem --- Green function --- linear differential equation --- exponential stability --- linear output feedback --- stabilization --- uncertain system --- nonlocal effects --- linear control system --- Hilbert space --- state feedback control --- exact controllability --- upper Bohl exponent

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Mobile mapping is applied widely in society, for example, in asset management, fleet management, construction planning, road safety, and maintenance optimization. Yet, further advances in these technologies are called for. Advances can be radical, such as changes to the prevailing paradigms in mobile mapping, or incremental, such as the state-of-the-art mobile mapping methods. With current multi-sensor systems in mobile mapping, laser-scanned data are often registered in point clouds with the aid of global navigation satellite system (GNSS) positioning or simultaneous localization and mapping (SLAM) techniques and then labeled and colored with the aid of machine learning methods and digital camera data. These multi-sensor platforms are beginning to undergo further advancements via the addition of multi-spectral and other sensors and via the development of machine learning techniques used in processing this multi-modal data. Embedded systems and minimalistic system designs are also attracting attention, from both academic and commercial perspectives.This book contains the accepted publications of the Special Issue 'Advances in Mobile Mapping Technologies' of the Remote Sensing journal. It consists of works introducing a new mobile mapping dataset (‘Paris CARLA 3D’), system calibration studies, SLAM topics, and multiple deep learning works for asset detection. We, the Guest Editors, Ville Lehtola from University of Twente, Netherlands, Andreas Nüchter from University of Würzburg, Germany, and François Goulette from Mines Paris- PSL University, France, wish to thank all the authors who contributed to this collection.

Technology: general issues --- History of engineering & technology --- LiDAR --- RetinaNet --- inception --- Mobile Laser Scanning --- point clouds --- data fusion --- Lidar --- point cloud density --- point cloud coverage --- mobile mapping systems --- 3D simulation --- Pandar64 --- Ouster OS-1-64 --- mobile laser scanning --- lever arm --- boresight angles --- plane-based calibration field --- configuration analysis --- accuracy --- controllability --- evaluation --- control points --- TLS reference point clouds --- visual–inertial odometry --- Helmert variance component estimation --- line feature matching method --- correlation coefficient --- point and line features --- mobile mapping --- manhole cover --- point cloud --- F-CNN --- transfer learning --- CAM localization --- loop closure detection --- visual SLAM --- semantic topology graph --- graph matching --- CNN features --- deep learning --- view planning --- imaging network design --- building 3D modelling --- path planning --- V-SLAM --- real-time --- guidance --- embedded-systems --- 3D surveying --- exposure control --- photogrammetry --- parking statistics --- vehicle detection --- robot operating system --- 3D camera --- RGB-D --- performance evaluation --- convolutional neural networks --- smart city --- georeferencing --- MSS --- IEKF --- DSIEKF --- geometrical constraints --- 6-DoF --- DTM --- 3D city model --- dataset --- laser scanning --- 3D mapping --- synthetic --- outdoor --- semantic --- scene completion