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5 Non-Linear Static Analysis
The state of the art in the capability to predict the stability behavior of shell structures refers to areas such as asymptotic analysis [69] and...
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3 Spectral Analysis of Finite Dimensional Operators
A great number of engineering problems can be viewed as an input to output map**, as shown in Fig. 3.1, where the system represents the law for the...
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Finding Exponential Product Formulas of Higher Orders
In the present article, we review the progress in the last two decades of the work on the Suzuki-Trotter decomposition, or the exponential product...
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Exploring Complex Landscapes with Classical Monte Carlo
Nowadays, the annealing concept is useful in (at least) two different fields, namely Physics and Optimization. The annealing strategy was well known...
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Quantum Spin Glasses
In this chapter of this monograph we want to provide an overview on the current status of our knowledge on the theory of quantum spin glasses. Spin...
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11 Safety Evaluation Method of Rehabilitation Robots
An aged society comes soon. Human-care robots must be realized to nurse aged and disabled persons. Human-care robot will need to work around elderly...
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26 STRING-MAN: A Novel Wire Robot for Gait Rehabilitation
This paper presents a novel robotic prototype for advanced gait rehabilitation. This system integrates sophisticated robotic technology with control...
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4 Abelian Gauge Fixing
The formation of monopoles and their condensation in the QCD ground state is a feature which is related to abelian gauge fixing, discussed in this...
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Appendix D. Color Charges of Quarks and Gluons
In $SU\left( 2\right) $ , the charge operator is:...
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1 Introduction
Considerable progress has been achieved recently in modeling and mathematical analysis of various processes involved in contact between deformable...
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5. Simulation of Active and Nonlinear Photonic Nano-Materials in the Finite-Difference Time-Domain (FDTD) Framework
A numerical method is presented that unites three-dimensional finite-differnce time-domain (FDTD) computer simulations of active, nonlinear photonic...
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13. Parallel Implementation Strategiesfor Algorithms from Scientific Computing
Many applications from scientific computing are computationally intensive and can therefore benefit from a realization on a parallel or a distributed...
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Appendix B: The Relation between Minkowski and Euclidean Actions
The Minkowski action leads to canonical quantization and it is used to calculate matrix elements of the evolution operator e...
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5 The Confinement of SU(3) Color Charges
If we wish to describe color confinement in terms of the Meissner effect of a dual superconductor, we need to adapt the Landau-Ginzburg model to the...
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2 The Symmetry of Electromagnetism with Respect to Electric and Magnetic Charges
The possible existence of magnetic charges and the corresponding electromagnetic theory was investigated by Dirac in 1931 and 1948 [49, 9]. The...
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6 Mathematical Preliminaries
Part II provides mathematical formulations of the models, the assumptions that underlie them, their weak or variational formulations and the...
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11 Contact with Wear or Adhesion
In this chapter we present results on models of frictional contact when the wear of the contacting surfaces is taken into account. The importance of...
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3 Additional E.ects Involved in Contact
More is involved in contact than just friction, although it is the main process. Indeed, during a contact process elastic or plastic deformations of...
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13 Dynamic, One-Dimensional and Miscellaneous Problems
The previous part of this monograph makes it clear that the branch of the Mathematical Theory of Contact Mechanics, which deals with quasistatic...
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Fuzzy Probability Theory
In this chapter we look more closely at the fuzzy binomial distribution, the fuzzy Poisson, and at the fuzzy normal,exponential and uniform...