In this paper, the concepts of $L$-concave structures, concave $L$-interior operators and concave $L$-neighborhood systems are introduced. It is shown that the category of $L$-concave spaces and the category of concave $L$-interior spaces are isomorphic, and they are both isomorphic to the category of concave $L$-neighborhood systems whenever $L$ is a completely distributive lattice. Also, it i...

The estimation of the distribution that matches voting justices Supreme Court shows is correlated and reveals three phenomena: an outlier produced by one composition Court, surprising frequency unanimous decisions, intensity with which avoids 4–4 decisions. splits strength drive to produce decisions seem sensitive national disunity. At times greater disunity, 1965 1975 2001 2020, more intensely...

LEADERSHIP OF THE CHIEF JUSTICE US BASED ON AN ANALYSIS ACTIVITIES JOHN ROBERTS, JR. Chief Justice of the United States is a formal leader Supreme Court responsible for supervisinig Court’s administrative work, including his presiding over justices’ conferences and assigning opinion-writing to justice in majority. At same time representing relations with other branches government, membership ce...

Let B be a complete Boolean algebra. We show that if λ is an infinite cardinal and B is weakly (λ, ω)-distributive, then B is (λ, 2)-distributive. Using a similar argument, we show that if κ is a weakly compact cardinal such that B is weakly (2, κ)distributive and B is (α, 2)-distributive for each α < κ, then B is (κ, 2)-distributive.

As one of the few studies to examine internal influence among Justices on the United States Supreme Court, this Note seeks to identify the most influential individuals on the Rehnquist Court. Using an empirical analysis of non-majority opinion joining behavior, this Note examines two time periods separately: the entire Rehnquist Court (the 1986 to 2004 Terms) and the time when the membership on...

However fundamental he may appear to us, the public prosecutor was an historical latecomer. Judge and jury we can trace back to the high Middle Ages. But the prosecutor became a regular figure of Anglo-American criminal procedure only in Tudor times. Further, his appearance then has not been noticed in our historical literature, an especially remarkable omission when we discover that the prosec...

Despite the fact that judicial scholars have developed reasonably well-specified models of the voting behavior of U.S. Supreme Court justices, little attention has been paid to influences on the consistency of the choices justices make. Aside from the methodological problems associated with failure to account for heteroskedasticity with regard to the justices’ voting behavior, I argue that vari...

This edition of “Ask the Author” features a discussion with Andrew Martin, who is a professor of law and chair of the political science department at Washington University in St. Louis. Andrew has done some very influential work on the Supreme Court, including co-authoring a paper on ideological drift of Supreme Court Justices, see [1] here, that will appear in issue four of the Northwestern Un...

A non-interactive, simple and efficient publicly verifiable secret sharing (PVSS) is constructed based on the bilinear pairing on elliptic curves, which has all advantages of Schoenmakers’ PVSS in [15]. Moreover, in the scheme’s distribution of shares phase, only using bilinearity of bilinear paring, anybody can verify that the participants received whether correct shares without implementing i...