Inclusion-exclusion is an effective method for computing the volume of a union of measurable sets. We extend it to multiple coverings, proving short inclusion-exclusion formulas for the subset of R covered by at least k balls in a finite set. We implement two of the formulas in dimension n = 3 and report on results obtained with our software.

We describe a sentence-level opinion detection system. We first define what an opinion means in our research and introduce an effective method for obtaining opinion-bearing and nonopinion-bearing words. Then we describe recognizing opinion-bearing sentences using these words We test the system on 3 different test sets: MPQA data, an internal corpus, and the TREC2003 Novelty track data. We show ...

In this paper, we develop an effective method of detecting and tracking hands in uncontrolled videos based on multiple cues including hand shape, skin color, upper body position and flow information. We apply our hand detection results to perform fine-grained human action recognition. We demonstrate that motion features extracted from hand areas can help classify actions even when they look fam...

A system of diabetic review was introduced in two Southampton training practices in March 1985. Each partner, with the help of the practice nurse, retained responsibility for review of their own diabetic patients. During the study period (1984-86) 213 diabetics remained with the practices. In 1984 there were 94 non-insulin dependent patients who were not receiving hospital outpatient care. Over...

This paper presents an effective method for computing Standard bases for the local ring of an algebroid branch and for its module of Kähler differentials. This allows us to determine the semigroup of values of the ring and the values of its Kähler differentials, which in the case of complex analytic branches are, respectively, important topological and analytical invariants. c © 2006 Elsevier L...

In this paper we investigate the effective content of the structure theorem for the space E ′ of distributions with compact support. We show that each of the four characterisations of the space of distributions with compact support given in the structure theorem (below) gives rise to an effective domain representation of E ′. To show that the structure theorem has effective content, we study th...

Introduction Mentoring is an increasingly popular concept of learning, development and support. Over the last 20, its use has grown significantly and is continuing to develop within a wide range of settings. In fact 87% of businesses in the US utilized mentoring according to a SHRM Survey (1999), (Klasen and Clutterbuck 2002). Apparently, this trend is consistent throughout other parts of the w...

We propose a new effective method for obtaining lower bounds on the number of repetition-free words over a finite alphabet.