Emphatic agents to reduce user frustration: The effects of varying agent characteristics

There is now growing interest in the development of computer systems which respond to users’ emotion and affect. We report three small scale studies (with a total of 42 participants) which investigate the extent to which affective agents, using strategies derived from human-human interaction, can reduce user frustration within human-computer interaction. The results confirm the previous findings of Klein et al (2002) that such interventions can be effective. We also obtained results that suggest that embodied agents can be more effective at reducing frustration than non-embodied agents, and that female embodied agents may be more effective than male embodied agents. These results are discussed in light of the existing research literature

Diophantine non-integrability of a third order recurrence with the Laurent property

We consider a one-parameter family of third order nonlinear recurrence relations. Each member of this family satisfies the singularity confinement test, has a conserved quantity, and moreover has the Laurent property: all of the iterates are Laurent polynomials in the initial data. However, we show that these recurrences are not Diophantine integrable according to the definition proposed by Halburd. Explicit bounds on the asymptotic growth of the heights of iterates are obtained for a special choice of initial data. As a by-product of our analysis, infinitely many solutions are found for a certain family of Diophantine equations, studied by Mordell, that includes Markoff's equation

Curious Continued Fractions, Nonlinear Recurrences and Transcendental Numbers

We consider a family of integer sequences generated by nonlinear recurrences of the second order, which have the curious property that the terms of the sequence, and integer multiples of the ratios of successive terms (which are also integers), appear interlaced in the continued fraction expansion of the sum of the reciprocals of the terms. Using the rapid (double exponential) growth of the terms, for each sequence it is shown that the sum of the reciprocals is a transcendental number

How Holocaust Memories Continue to Divide the Serbs and the Croats

In Holocaust and genocide education, we frequently and rightly stress remembrance in order to honor the victims of the past as well as to safeguard our future from repeated transgressions. However, there are parts of the world where remembering or “misremembering” atrocities accentuates the fracturing of communities. In the Balkans, the festering wounds that have been inflicted throughout history never seem to truly heal, as the past, both real and fictionalized, drives contemporary and competing realities. This is noticeably evident with the modern-day rifts separating ethnic Croats and ethnic Serbs, which despite recent political inroads and relative stability, persist in being purveyors of mutual animosity

Laurent Polynomials and Superintegrable Maps

This article is dedicated to the memory of Vadim Kuznetsov, and begins with some of the author's recollections of him. Thereafter, a brief review of Somos sequences is provided, with particular focus being made on the integrable structure of Somos-4 recurrences, and on the Laurent property. Subsequently a family of fourth-order recurrences that share the Laurent property are considered, which are equivalent to Poisson maps in four dimensions. Two of these maps turn out to be superintegrable, and their iteration furnishes infinitely many solutions of some associated quartic Diophantine equations

How Ethnic and Religious Nationalism Threaten the Bosnian State

When the wars ceased in the former Yugoslavia in the 1990s, as in the aftermath of other past conflicts in the Balkans, ethnic and religious divisions prevailed. Bosnia Herzegovina is perhaps the most vulnerable of the newly independent states of the former Yugoslavia, partially due to the manner it was established. Ethnic cleansing and discord have marred Bosnia while the three principal ethnoreligious entities continue to struggle to maintain their distinct identity within the context of a convoluted political system wrestling against domestic and international intrigue. Ethnoreligious nationalism threatens to further rupture the Bosnian state and create a renewed state of violence that ultimately endangers this nation’s future