Let C be a collection of n Jordan regions in the plane in general position, such that each pair of their boundaries intersect in at most s points, where s is a constant. If the boundaries of two sets in C cross exactly twice, then their intersection points are called regular vertices of the arrangement A(C). Let R(C) denote the set of regular vertices on the boundary of the union of C. We prese...

Studies on prosody/intonation normally look for important (distinctive) features denoting linguistic contrasts in production or perception experiments. The recent development in automatic speech processing and the availability of large speech data bases made it possible to have a fresh look at these topics. In our study, we classify automatically accent and boundary positions in a spontaneous s...

Each member of an n-person team has a secret, say a password. The k out of n gruppen secret sharing requires that any group of k members should be able to recover the secrets of the other n−k members, while any group of k−1 or less members should have no information on the secret of other team member even if other secrets leak out. We prove that when all secrets are chosen independently and hav...

A method is presented for imputing a topology for any chronological set, i.e., a set with a chronology relation, such as a spacetime or a spacetime with some sort of boundary. This topology is shown to have several good properties, such as replicating the manifold topology for a spacetime and replicating the expected topology for some simple examples of spacetime-with-boundary; it also allows f...

This paper investigates the powerplay in one-day cricket. The rules concerning the powerplay have been tinkered with over the years, and therefore the primary motivation of the paper is the assessment of the impact of the powerplay with respect to scoring. The form of the analysis takes a “what if” approach where powerplay outcomes are substituted with what might have happened had there been no...

In cluttered scenes, some object boundaries may not be marked by image cues. In such cases, the boundaries must be defined top-down as a result of object recognition. Here we ask if observers can retain the boundaries of several recognized objects in order to segment an unfamiliar object. We generated scenes consisting of neatly stacked objects, and the objects themselves consisted of neatly st...

Background We aimed to identify the hierarchy of rates of decline in 16 physical functioning measures in U.S. and English samples, using a systematic and integrative coordinated data analysis approach. Methods The U.S. sample consisted of 13,612 Health and Retirement Study participants, and the English sample consisted of 5,301 English Longitudinal Study of Ageing participants. Functional los...

This paper examines international law and the territory between countries. International was born because of existence an community so that this became basis for formation law. The is used as a sociological foundation in shaping relations arise factor requires each other from one country to another various interests. state part element has very important meaning. According law, consists land, s...