p1, p2, and p3 all being constants. The same inverse power-law statistical distributions were found in embarrassingly different situations (e.g., [6, 7]). In economics, it was discovered by Pareto [8] over 100 years ago and states that incomes of individuals or firms are inversely proportional to their rank. In less formal words [9], “most success seems to migrate to those people or companies w...

There is a general presumption that the law should be congruent with morality— that is, that the prohibitions and permissions in the law should correspond to the prohibitions and permissions of morality. And indeed in most areas of domestic law, and perhaps especially in the criminal law, the elements of the law do in general derive more or less directly from the requirements of morality. I wil...

This paper examines how the advice that lawyers provide to their clients affects the disclosure of evidence and the outcome of adjudication, and how the adjudicator should allocate the burden of proof in light of these effects. Despite lawyers’ expertise in assessing the evidence, their advice is found to have no effect on adjudication, if the lawyers follow disclosure strategies that are undom...

LW 1200. How Lawyers Think: An Introduction to American Legal Thought. 4 Hours. Introduces students to legal analysis by exploring the history of American legal thought. Perhaps more than any other, American society is governed by lawyers. Explores how innovations in legal theory both emerged from and helped shape policy responses to some of America’s biggest governance challenges, including ec...

In this paper three models of parallel speedup are studied. They are fixed-size speedup, fixed-time speedup and memory-bounded speedup. The latter two consider the relationship between speedup and problem scalability. Two sets of speedup formulations are derived for these three models. One set considers uneven workload allocation and communication overhead, and gives more accurate estimation. A...

This paper studies concentration (i.e. inequality) aspects of the functions of Zipf and of Lotka. Since both functions are power laws (i.e. they are – mathematically the same) it suffices to develop one concentration theory for power laws and apply it twice for the different interpretations of the laws of Zipf and Lotka. After a brief repetition of the functional relationships between Zipf’s la...

Police trainees who were ready to graduate from the Federal Law Enforcement Training Center (FLETC) volunteered to participate in an exercise designed to evaluate their survivability. In a highly stressful interactive scenario, which included a hostage situation during a staged domestic dispute, performance was evaluated for a range of responses, including: weapon malfunction, shooting judgment...

Zipf (1949) already noted that the linear relationship that he observed between log frequency and log rank is strongest in the middle range: both very high and very low frequency items tend to deviate from the log-log regression line. In this paper the causes for such deviations are investigated and a more detailed statistical model is offered. The subgeometric mean property of frequency counts...

In this paper, the data of Chinese stock markets is analyzed by the statistical methods and computer sciences. The fluctuations of stock prices and trade volumes are investigated by the method of Zipf plot, where Zipf plot technique is frequently used in physics science. In the first part of the present paper, the data of stocks prices and trade volumes in Shanghai Stock Exchange and Shenzhen S...