Anger: the unrecognized emotion in emotional disorders

Anger plays a prominent definitional role in some psychological disorders currently widely scattered across DSM‐5 categories (e.g., intermittent explosive disorder, borderline personality disorder). But the presence and consequences of anger in the emotional disorders (e.g., anxiety disorders, depressive disorders) remain sparsely examined. In this review, we examine the presence of anger in the emotional disorders and find that anger is elevated across these disorders and, when it is present, is associated with negative consequences, including greater symptom severity and worse treatment response. Based on this evidence, anger appears to be an important and understudied emotion in the development, maintenance, and treatment of emotional disorders.First author draf

At-risk brand relationships and threats to the bottom line

Like a stock portfolio, each relationship type offers a brand higher or lower growth opportunities and risks. The type of relationship is particularly relevant in brand crisis events. When a brand is hit by a crisis, it is not necessarily the most successful strategy to focus exclusively on protecting positive emotional relationships. At-risk relationships are affected more than others and can lead to a significant decline of brand value. Our cases highlight that at-risk relationships represent a critical, but often overlooked, aspect of a brand’s relationship portfolio. Risks range from negative word of mouth that might have a negative impact on potential new customers to clear retention risk. Marketers should manage these risks proactively by identifying and investigating the nature of their customer relationships and by responding frankly and credibly to crisis events.Published versio

Psychological types of female primary school teachers in Anglican state-maintained schools in England and Wales : implications for continuing professional development

A sample of 221 female primary school teachers in Anglican state-maintained schools in England and Wales completed the Francis Psychological Type Scales (FPTS). The data demonstrated clear preferences for Extraversion (E) over Introversion (I), for Sensing (S) over Intuition (N), for Feeling (F) over Thinking (T) and for Judging (J) over Perceiving (P). The two predominant types among female primary school teachers were ESFJ (27.6%) and ISFJ (18.6%). These findings confirm earlier research among trainee female primary school teachers and help to clarify the main strengths and potential challenges facing primary schools in light of knowledge about the key psychological preferences of those who shape the classroom environment. These findings also generate new insights into teacher retention and career paths in primary schools

On the Areas of Cyclic and Semicyclic Polygons

We investigate the ``generalized Heron polynomial'' that relates the squared area of an n-gon inscribed in a circle to the squares of its side lengths. For a (2m+1)-gon or (2m+2)-gon, we express it as the defining polynomial of a certain variety derived from the variety of binary (2m-1)-forms having m-1 double roots. Thus we obtain explicit formulas for the areas of cyclic heptagons and octagons, and illuminate some mysterious features of Robbins' formulas for the areas of cyclic pentagons and hexagons. We also introduce a companion family of polynomials that relate the squared area of an n-gon inscribed in a circle, one of whose sides is a diameter, to the squared lengths of the other sides. By similar algebraic techniques we obtain explicit formulas for these polynomials for all n <= 7.Comment: 22 page

Closed form summation of C-finite sequences

We consider sums of the form $$\sum_{j=0}^{n-1}F_1(a_1n+b_1j+c_1)F_2(a_2n+b_2j+c_2)... F_k(a_kn+b_kj+c_k),$$ in which each $\{F_i(n)\}$ is a sequence that satisfies a linear recurrence of degree $D(i)<\infty$, with constant coefficients. We assume further that the $a_i$'s and the $a_i+b_i$'s are all nonnegative integers. We prove that such a sum always has a closed form, in the sense that it evaluates to a linear combination of a finite set of monomials in the values of the sequences $\{F_i(n)\}$ with coefficients that are polynomials in $n$. We explicitly describe two different sets of monomials that will form such a linear combination, and give an algorithm for finding these closed forms, thereby completely automating the solution of this class of summation problems. We exhibit tools for determining when these explicit evaluations are unique of their type, and prove that in a number of interesting cases they are indeed unique. We also discuss some special features of the case of ``indefinite summation," in which $a_1=a_2=... = a_k = 0$

The Irish press 1919-1948: origins and issues

This thesis provides a broad history of the Irish Press during the years 1919-1948. It sets forth how, from 1919 onwards, Republican leader Eamon de Valera became convinced of the need for a newspaper sympathetic to his aims, and how he went about raising funds for the enterprise both in Ireland and the United States. The corporate structure of the Irish Press is also examined, with particular emphasis on the role of the Controlling Director and the influence of the Irish Press American Corporation. The Irish Press was first published in 1931, and the thesis examines its support for Fianna Fail in the period under study. The work also examines the changes in the relationship between the party and the paper as Fianna Fail became more entrenched in government. The role of the first editor of the Irish Press. Frank Gallagher, is considered. The changes in the attitude of the Irish Press to Fianna Fail in the post-Gallagher period are also examined, with emphasis on the findings of the Fianna Fail sub-committee on publicity. The thesis concludes that the period under review was characterised by the emergence of four key elements in the culture of the Irish Press: volatile industrial relations climate, fund-raising problems, links to Fianna Fail, and a corporate structure which ensured dynastic control by the de Valera family