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This book addresses the comparative history of economic thought in Central European countries where there is a notable common historic heritage and political traits. The author explores issues of Central European identity, Habsburgian and Soviet influence, and nationalistic traditions, and reveals commonalities between Czech, Hungarian, Polish and Slovak economic thought: such similarities proceed to explain aspects of contemporary economic and social policies in these countries. This book aims to highlight connections among Central European economists and will be of interest to economists, economic historians, sociologists and historians.
The book reviews inequalities for weighted entry sums of matrix powers. Applications range from mathematics and CS to pure sciences. It unifies and generalizes several results for products and powers of sesquilinear forms derived from powers of Hermitian, positive-semidefinite, as well as nonnegative matrices. It shows that some inequalities are valid only in specific cases. How to translate the Hermitian matrix results into results for alternating powers of general rectangular matrices? Inequalities that compare the powers of the row and column sums to the row and column sums of the matrix powers are refined for nonnegative matrices. Lastly, eigenvalue bounds and derive results for iterated kernels are improved.
Hermann Weyl considered value distribution theory to be the greatest mathematical achievement of the first half of the 20th century. The present lectures show that this beautiful theory is still growing. An important tool is complex approximation and some of the lectures are devoted to this topic. Harmonic approximation started to flourish astonishingly rapidly towards the end of the 20th century, and the latest development, including approximation manifolds, are presented here. Since de Branges confirmed the Bieberbach conjecture, the primary problem in geometric function theory is to find the precise value of the Bloch constant. After more than half a century without progress, a breakthrough was recently achieved and is presented. Other topics are also presented, including Jensen measures. A valuable introduction to currently active areas of complex analysis and potential theory. Can be read with profit by both students of analysis and research mathematicians.
Efficient and effective transportation networks are backbones to modern societies. Methodologically, their design has mainly been driven by optimization approaches oftentimes with a strong cost focus. Their strategic planning, however, should go beyond detailed cost analysis and identify other key decision drivers. Transportation network centrality describes the appearance of a network; hence is crucial for network design. Anne Paul develops a strategic approach to transportation network design by conceptualizing transportation network centrality and relating it to the performance and quality of transportation networks. Consequently, the concept of network centrality serves to support decisions in strategic network design. A practical implementation of this approach is provided, demonstrating its feasibility. Potential readers include scholars and practitioners from logistics, supply chain management, and operational research with an interest in strategic transportation network design.
Semigroups, Automata, Universal Algebra, Varieties
Surveys the state-of-the-art in combinatorial game theory, that is games not involving chance or hidden information.
The study of directed graphs (digraphs) has developed enormously over recent decades, yet the results are rather scattered across the journal literature. This is the first book to present a unified and comprehensive survey of the subject. In addition to covering the theoretical aspects, the authors discuss a large number of applications and their generalizations to topics such as the traveling salesman problem, project scheduling, genetics, network connectivity, and sparse matrices. Numerous exercises are included. For all graduate students, researchers and professionals interested in graph theory and its applications, this book will be essential reading.