In the past thirty years, differential geometry has undergone an enormous change with infusion of topology, Lie theory, complex analysis, algebraic geometry and partial differential equations. Professor Matsushima played a leading role in this transformation by bringing new techniques of Lie groups and Lie algebras into the study of real and complex manifolds. This volume is a collection of all the 46 papers written by him.
Vibration of Hydraulic Machinery deals with the vibration problem which has significant influence on the safety and reliable operation of hydraulic machinery. It provides new achievements and the latest developments in these areas, even in the basic areas of this subject. The present book covers the fundamentals of mechanical vibration and rotordynamics as well as their main numerical models and analysis methods for the vibration prediction. The mechanical and hydraulic excitations to the vibration are analyzed, and the pressure fluctuations induced by the unsteady turbulent flow is predicted in order to obtain the unsteady loads. This book also discusses the loads, constraint conditions and the elastic and damping characters of the mechanical system, the structure dynamic analysis, the rotor dynamic analysis and the system instability of hydraulic machines, including the illustration of monitoring system for the instability and the vibration in hydraulic units. All the problems are necessary for vibration prediction of hydraulic machinery.
Graphical Enumeration deals with the enumeration of various kinds of graphs. Topics covered range from labeled enumeration and George Pólya's theorem to rooted and unrooted trees, graphs and digraphs, and power group enumeration. Superposition, blocks, and asymptotics are also discussed. A number of unsolved enumeration problems are presented. Comprised of 10 chapters, this book begins with an overview of labeled graphs, followed by a description of the basic enumeration theorem of Pólya. The next three chapters count an enormous variety of trees, graphs, and digraphs. The Power Group Enumeration Theorem is then described together with some of its applications, including the enumeration of self-complementary graphs and digraphs and finite automata. Two other chapters focus on the counting of superposition and blocks, while another chapter is devoted to asymptotic numbers that are developed for several different graphical structures. The book concludes with a comprehensive definitive list of unsolved graphical enumeration problems. This monograph will be of interest to both students and practitioners of mathematics.
A bestselling author’s shocking analysis of the many ways we are victimized by corporations David Cay Johnston, the bestselling author of Perfectly Legal and Free Lunch, is famous for exposing the perfidies of our biggest institutions. Now he turns his attention to the ways huge corporations hide sneaky stipulations in just about every contract, often with government permission. No other modern country gives corporations the unfettered power found in America to gouge customers, shortchange workers, and erect barriers to fair play. Johnston shares solutions you can use to fight back against the obscure fees and taxes, and to help end these devious practices.
Now updated with a new prologue! Since the mid-1970s, there has been a dramatic shift in America's socioeconomic system, one that has gone virtually unnoticed by the general public. Tax policies and their enforcement have become a disaster, and thanks to discreet lobbying by a segment of the top 1 percent, Washington is reluctant or unable to fix them. The corporate income tax, the estate tax, and the gift tax have been largely ignored by the media. But the cumulative results are remarkable: today someone who earns a yearly salary of $60,000 pays a larger percentage of his income in taxes than the four hundred richest Americans. Pulitzer Prize-winning investigative reporter David Cay Johnston exposes exactly how the middle class is being squeezed to create a widening wealth gap that threatens the stability of the country. By relating the compelling tales of real people across all areas of society, he reveals the truth behind: • "Middle class" tax cuts and exactly whom they benefit. • How workers are being cheated out of their retirement plans while disgraced CEOs walk away with millions. • How some corporations avoid paying any federal income tax. • How a law meant to prevent cheating by the top 2 percent of Americans no longer affects most of them, but has morphed into a stealth tax on single mothers making just $28,000. • Why the working poor are seven times more likely to be audited by the IRS than everyone else. • How the IRS became so weak that even when it was handed complete banking records detailing massive cheating by 1,600 people, it prosecuted only 4 percent of them. Johnston has been breaking pieces of this story on the front page of The New York Times for seven years. With Perfectly Legal, he puts the whole shocking narrative together in a way that will stir up media attention and make readers angry about the state of our country.
The first part of this book presents an introduction to the theory of finite fields, with emphasis on those aspects that are relevant for applications. The second part is devoted to a discussion of the most important applications of finite fields especially information theory, algebraic coding theory and cryptology (including some very recent material that has never before appeared in book form). There is also a chapter on applications within mathematics, such as finite geometries. combinatorics. and pseudorandom sequences. Worked-out examples and list of exercises found throughout the book make it useful as a textbook.
