the main aim of this paper is to introduce three classes $h^0_{p,q}$, $h^1_{p,q}$ and $th^*_p$ of $p$-harmonic mappings and discuss the properties of mappings in these classes. first, we discuss the starlikeness and convexity of mappings in $h^0_{p,q}$ and $h^1_{p,q}$. then establish the covering theorem for mappings in $h^1_{p,q}$. finally, we determine the extreme points of the class $th^*_{p}$.

We discuss a phenomenon that appears when ‘even’ occurs in questions. Specifically, an inference of what we call ‘‘extreme ignorance’’ is projected onto the speaker. We argue that this effect arises when the known unlikelihood ‘even’ focuses an entire question, resulting in the focused question being the least likely to be asked. Specific implicatures then conspire to bring about the inference ...

Counting the number of elements in finite sets Si (where i typically ranges over some index set I such as the non–negative integers or a cartesian product of the non–negative integers) is surely one of the oldest and most fundamental problems in mathematics. It is in the nature of the subject that only a few enumeration problems have a compact solution in terms of a simple explicit formula in i...

Extreme value theory is a practical and useful tool for modeling and quantifying risk. In this article, after introducing basic concepts, we indicate how to apply it within a financial framework.

This paper develops the use of ‘guided interviews’ and questionnaires in an empirical study of a small software development company. In particular, the study identified a number of human issues in communications, technology, teamwork and political factors that significantly influenced the implementation and evolution of eXtreme programming into a software development team.

The tail behavior of sums of dependent risks was considered by Wüthrich (2003) and by Alink et al. (2004, 2005) in the case where the variables are exchangeable and connected through an Archimedean copula model. It is shown here how their result can be extended to a broader class of dependence structures using multivariate extreme-value theory. An explicit form is given for the asymptotic proba...

Expander graphs are known to facilitate effective routing and most real-world networks have expansion properties. At the other extreme, it has been shown that in some special graphs, removing certain edges can lead to more efficient routing. This phenomenon is known as Braess’s paradox and is usually regarded as a rare event. In contrast to what one might expect, we show that Braess’s paradox i...

One of the pivotal roles in XP is the customer, but little guidance is provided in the literature on the practicalities of succeeding in this role. We used an interpretative in-depth case study to explore a successful XP project. We obtained multiple perspectives on the implementation of the customer role, and this paper includes excerpts from interviews with the customer and other development ...

t first sight, using retinectomy for treating glaucoma seemed extreme , even when most of the eyes treated were legally blind. More than 20 years ago, Robert Machemer described performing retinotomy to relieve traction in two patients with retinal detachment complicated by proliferative vitreoretin-opathy (PVR). 1 At the time retinotomy was considered extreme and surgically the last resort. Sev...