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Using the real Microcontroller (µC) as a replacement for a µC model inside a system simulation of a µC-based system is a big benefit since the µC is already verified. Moreover, its maximum performance and its accuracy are much higher than any simulation model. With the Chip-Hardware-in-the-Loop Simulation (CHILS) approach, Christian Köhler covers the connection between µC and simulation, the analysis and optimization of such coupling systems as well as the interface abstraction. He develops the hardware to simulation coupling system with a focus on less hardware effort, the capabilities to couple with different simulation environments, and the efficiency of coupling. The interface abstraction primarily supports the efficiency of coupling. The system analysis and optimization concepts include formal criteria to determine the fidelity of Hardware-in-the-Loop (HIL) coupling systems, stability analysis of coupling systems, and the numerical analysis of applied software algorithms. Furthermore, the author presents existing concepts to simulate complex systems and compares them with the new approach.
Eingebettetes System. --- Embedded computer systems -- Design. --- Embedded computer systems. --- Embedded systems. --- Electrical & Computer Engineering --- Engineering & Applied Sciences --- Electrical Engineering --- Embedded computer systems --- Engineering. --- Electrical engineering. --- Design and construction. --- Electric engineering --- Construction --- Computer science. --- Computer simulation. --- Computer Science. --- Simulation and Modeling. --- Computer Science, general. --- Electrical Engineering. --- Engineering --- Industrial arts --- Technology --- Computer engineering. --- Computers --- Informatics --- Science --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Simulation methods --- Model-integrated computing --- Design and construction
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This monograph deals with products of Dedekind's eta function, with Hecke theta series on quadratic number fields, and with Eisenstein series. The author brings to the public the large number of identities that have been discovered over the past 20 years, the majority of which have not been published elsewhere. The book will be of interest to graduate students and scholars in the field of number theory and, in particular, modular forms. It is not an introductory text in this field. Nevertheless, some theoretical background material is presented that is important for understanding the examples in Part II. In Part I relevant definitions and essential theorems -- such as a complete proof of the structure theorems for coprime residue class groups in quadratic number fields that are not easily accessible in the literature -- are provided. Another example is a thorough description of an algorithm for listing all eta products of given weight and level, together with proofs of some results on the bijection between these eta products and lattice simplices.
Forms, Modular. --- Number theory. --- Series, Theta. --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Theta series --- Mathematics. --- Algebraic topology. --- Number Theory. --- Algebraic Topology. --- Functions, Theta --- Topology --- Number study --- Numbers, Theory of
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Number theory --- Algebraic topology --- topologie (wiskunde) --- getallenleer
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Art --- installations [visual works] --- art [discipline] --- texts [documents] --- Bulloch, Angela --- Great Britain
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