Ming Li Bücher

Hanuman, a monkey hero, tries to save Princess Sita from the ten-headed demon king, Ravana

Briefly, we review the basic elements of computability theory and prob ability theory that are required. Finally, in order to place the subject in the appropriate historical and conceptual context we trace the main roots of Kolmogorov complexity. This way the stage is set for Chapters 2 and 3, where we introduce the notion of optimal effective descriptions of objects. The length of such a description (or the number of bits of information in it) is its Kolmogorov complexity. We treat all aspects of the elementary mathematical theory of Kolmogorov complexity. This body of knowledge may be called algo rithmic complexity theory. The theory of Martin-Lof tests for random ness of finite objects and infinite sequences is inextricably intertwined with the theory of Kolmogorov complexity and is completely treated. We also investigate the statistical properties of finite strings with high Kolmogorov complexity. Both of these topics are eminently useful in the applications part of the book. We also investigate the recursion theoretic properties of Kolmogorov complexity (relations with Godel's incompleteness result), and the Kolmogorov complexity version of infor mation theory, which we may call "algorithmic information theory" or "absolute information theory. " The treatment of algorithmic probability theory in Chapter 4 presup poses Sections 1. 6, 1. 11. 2, and Chapter 3 (at least Sections 3. 1 through 3. 4).

Written by a leading expert in hydrocarbon exploration, this book offers an in-depth analysis of the industry's complexities and challenges. It combines technical insights with practical experiences, making it a valuable resource for professionals and students alike. The author shares real-world case studies, innovative techniques, and future trends, providing readers with a comprehensive understanding of the field. The focus on both theoretical knowledge and practical application sets this work apart as a crucial guide for navigating the evolving landscape of hydrocarbon exploration.

Focusing on vibration phenomena, this book delves into fractional vibrations through the lens of linear vibrations characterized by frequency-dependent mass, damping, or stiffness. It provides a theoretical analysis relevant to various structures, particularly emphasizing applications in ship hulls. The exploration of these concepts aims to enhance understanding and application in engineering contexts.

Utilizing advanced mathematical techniques such as time series analysis and Fourier transforms, this book introduces fractal traffic modeling to enhance delay bounds in computer communication networks. It emphasizes improving service quality by integrating concepts like functional analysis and fractional order systems, alongside addressing noise factors. The focus on innovative computations aims to provide practical solutions for optimizing network performance.

The book offers an in-depth exploration of mono- and multi-fractal traffic theory, delving into long-range dependent time series and 1/f noise. It examines key concepts such as ergodicity and predictability in traffic patterns, alongside methodologies for traffic modeling and simulation. Additionally, it covers stationarity tests and measurement techniques for traffic, as well as anomaly detection in communications networks, making it a valuable resource for understanding complex traffic behaviors.

Focusing on the significance of vibration across various engineering disciplines, this book integrates conventional linear vibrations with contemporary fractional vibrations. It is divided into two parts: the first six chapters cover foundational concepts based on lectures for students at Zhejiang University, while the latter chapters delve into the author's research on fractional vibrations. This structured approach provides a comprehensive understanding of both traditional and modern vibration theories in engineering contexts.

This book examines the effects of INSET courses on EFL teachers in China amid national curriculum reforms. It highlights the limitations of one-time training and the influence of teachers' pre-existing beliefs on their practices. The author proposes that teacher learning is a dynamic social process and offers solutions to enhance teacher education for lasting impact.

This work addresses the mobile networks, such as LTE (Long Term Evolution). The key objective is to improve the system performance in means of user satisfaction. Two main potential bottleneck links are identified, i. e. the Radio Interface and the transport network link from base station to core network. Therefore, first a utility based radio scheduling algorithm is proposed. The scheduling algorithm, which maximizes the aggregated QoE, is proven to be optimal analytically. In a second step the resource limitation on the second bottleneck link, the S1 interface in the transport network is considered in addition. The mathematical problem is formulated considering the resource on both bottleneck link and maximizing the aggregated user satisfaction. The formulated problem is proven to be a convex optimization problem, and then solved using the Lagrangian relaxation method. In addition, computational advantageous heuristics are developed and compared in simulations against legacy approaches and the optimal solution.