The functional equation of associativity is the topic of Abel's first contribution to Crelle's Journal. Seventy years later, it was featured as the second part of Hilbert's Fifth Problem, and it was solved under successively weaker hypotheses by Brouwer (1909), Cartan (1930) and Aczel (1949). In 1958, B Schweizer and A Sklar showed that the ?triangular norms? introduced by Menger in his definition of a probabilistic metric space should be associative; and in their book Probabilistic Metric Spaces, they presented the basic properties of such triangular norms and the closely related copulas. Since then, the study of these two classes of functions has been evolving at an ever-increasing pace and the results have been applied in fields such as statistics, information theory, fuzzy set theory, multi-valued and quantum logic, hydrology, and economics, in particular, risk analysis.This book presents the foundations of the subject of associative functions on real intervals. It brings together results that have been widely scattered in the literature and adds much new material. In the process, virtually all the standard techniques for solving functional equations in one and several variables come into play. Thus, the book can serve as an advanced undergraduate or graduate text on functional equations.
Rumors of a conspiracy started as soon as Lee Harvey Oswald assassinated President John F. Kennedy and were re-doubled when Jack Ruby murdered Oswald in the heavily guarded basement of Dallas police headquarters. This is a story by a reporter who was in that headquarters basement and then worked on Ruby's murder trial and the investigation by the Warren Commission.
Presents a revised account of the revolution of 1966-1969 - Examines the social and political consequences of the upheaval - Deng Xiaoping - Democracy movement - Tienamnen Incident - Mao Zedong - The hundred flowers - Great Leap Forward.
A story of true drive – now the topic of a major documentary Founded in 1977 by Sir Frank Williams and Patrick Head, Williams F1 represents the last of the true independent teams; a company devoid of corporate dogma and run by enthusiasts driven by a love of racing and the satisfaction that comes with beating the rest of the world. Since its first Grand Prix victory at Silverstone on 14 July 1979, the team has won a further 116 GPs, delivered seven World Champions - among them Nigel Mansell and Damon Hill - and won nine Constructors Championships. This is the definitive history of the Williams team as told by those who have worked for Williams past and present. At the heart of the book are Sir Frank's personal recollections, along with memories and anecdotes from those at every level: from the shop floor to the upper strata of management; from the mechanics and machinists to the drivers - Mansell, Hill, Alain Prost and Alan Jones among them. It relates both the incredible highs of winning against the odds while never shying the terrible lows - the tragic deaths of Piers Courage in 1970 and Ayrton Senna in 1994 among them. Conveying the history and soul of a unique band of people, Williams F1 explains exactly why the Williams team is held in more affection than any other team in Britain, if not the world.
The ancient Middle East was the theater of passionate interaction between Phoenicians, Aramaeans, Arabs, Jews, Greeks, and Romans. At the crossroads of the Mediterranean, Mesopotamia, and the Arabian peninsula, the area dominated by what the Romans called Syria was at times a scene of violent confrontation, but more often one of peaceful interaction, of prosperous cultivation, energetic production, and commerce--a crucible of cultural, religious, and artistic innovations that profoundly determined the course of world history. Maurice Sartre has written a long overdue and comprehensive history of the Semitic Near East (modern Syria, Lebanon, Jordan, and Israel) from the eve of the Roman conquest to the end of the third century C.E. and the dramatic rise of Christianity. Sartre's broad yet finely detailed perspective takes in all aspects of this history, not just the political and military, but economic, social, cultural, and religious developments as well. He devotes particular attention to the history of the Jewish people, placing it within that of the whole Middle East. Drawing upon the full range of ancient sources, including literary texts, Greek, Latin, and Semitic inscriptions, and the most recent archaeological discoveries, The Middle East under Rome will be an indispensable resource for students and scholars. This absorbing account of intense cultural interaction will also engage anyone interested in the history of the Middle East.
The global community is negatively impacted on a large-scale with tens of millions of people world-wide suffering from major depression. Economic growth is being stunted and lifestyles and lives crippled. Unfortunately, it is not clear what the myriads of causative factors are. Is it stress alone or stress caused by medical or psychological disorders or unknown combinations of these and other factors? This book tackles these issues head on by presenting the latest research findings in this pandemic.
First published in 1950, Jewish Religious Conflicts gives an account of the principal cleavages that have taken place within the Jewish people since the close of the Old Testament over questions of religious faith, doctrine and practice. While passing in review the chief sects that have formed themselves during that period, it pays particular attention to the most recent cleavages, those between the ‘orthodox’ and ‘reform’, and between the ‘conservative’ and ‘liberal’ movements, which are dividing the Jewish community. This book will be of interest to students of religion and history.
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