Nonattacking Queens in a Rectangular Strip

The function that counts the number of ways to place nonattacking identical chess or fairy chess pieces in a rectangular strip of fixed height and variable width, as a function of the width, is a piecewise polynomial which is eventually a polynomial and whose behavior can be described in some detail. We deduce this by converting the problem to one of counting lattice points outside an affinographic hyperplane arrangement, which Forge and Zaslavsky solved by means of weighted integral gain graphs. We extend their work by developing both generating functions and a detailed analysis of deletion and contraction for weighted integral gain graphs. For chess pieces we find the asymptotic probability that a random configuration is nonattacking, and we obtain exact counts of nonattacking configurations of small numbers of queens, bishops, knights, and nightriders.Comment: 21 pages, 3 figures, preprint of published version copyright Springer Basel AG 2011, Published online February 15, 2011, submitted March 15, 200

Membrane geometry with auxiliary variables and quadratic constraints

Consider a surface described by a Hamiltonian which depends only on the metric and extrinsic curvature induced on the surface. The metric and the curvature, along with the basis vectors which connect them to the embedding functions defining the surface, are introduced as auxiliary variables by adding appropriate constraints, all of them quadratic. The response of the Hamiltonian to a deformation in each of the variables is examined and the relationship between the multipliers implementing the constraints and the conserved stress tensor of the theory established.Comment: 8 page

Exchange Anisotropy in Epitaxial and Polycrystalline NiO/NiFe Bilayers

(001) oriented NiO/NiFe bilayers were grown on single crystal MgO (001) substrates by ion beam sputtering in order to determine the effect that the crystalline orientation of the NiO antiferromagnetic layer has on the magnetization curve of the NiFe ferromagnetic layer. Simple models predict no exchange anisotropy for the (001)-oriented surface, which in its bulk termination is magnetically compensated. Nonetheless exchange anisotropy is present in the epitaxial films, although it is approximately half as large as in polycrystalline films that were grown simultaneously. Experiments show that differences in exchange field and coercivity between polycrystalline and epitaxial NiFe/NiO bilayers couples arise due to variations in induced surface anisotropy and not from differences in the degree of compensation of the terminating NiO plane. Implications of these observations for models of induced exchange anisotropy in NiO/NiFe bilayer couples will be discussed.Comment: 23 pages in RevTex format, submitted to Phys Rev B

Forming Judgments of Attitude Certainty, Intensity, and Importance: The Role of Subjective Experiences

Two studies examined the impact of subjective experiences on reports of attitude certainty, intensity, and importance. In Study 1, participants with moderate or extreme attitudes toward doctor-assisted suicide generated three (easy) or seven (hard) arguments that either supported or countered their opinion toward the issue prior to indicating the strength of their attitude. Participants with moderate attitudes rated their opinions as more intense, personally important, and held with greater certainty when they had generated either a small number of supporting arguments or a large number of opposing arguments. Ratings provided by individuals with extreme attitudes were unaffected by the argument generation task. In Study 2, the impact of ease of recall on strength-related judgments was eliminated when it was rendered nondiagnostic by a misattribution manipulation. Implications of these findings for attitude strength and other judgmental phenomena are discussed.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/68385/2/10.1177_0146167299025007001.pd

Expressive and Instrumental Offending: Reconciling the Paradox of Specialisation and Versatility

Although previous research into specialisation has been dominated by the debate over the existence of specialisation versus versatility, it is suggested that research needs to move beyond the restrictions of this dispute. The current study explores the criminal careers of 200 offenders based on their criminal records, obtained from a police database in the North West of England, aiming to understand the patterns and nature of specialisation by determining the presence of differentiation within their general offending behaviours and examining whether the framework of Expressive and Instrumental offending styles can account for any specialised tendencies that emerge. Fifty-eight offences were subjected to Smallest Space Analysis. Results revealed that a model of criminal differentiation could be identified and that any specialisation is represented in terms of Expressive and Instrumental offending styles

Cultural preferences for formal versus intuitive reasoning

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/91932/1/cultural_preferences.pd

Accessible Content and Accessibility Experiences: The Interplay of Declarative and Experiential Information in Judgment

Recall tasks render 2 distinct sources of information available: the recalled content and the experienced ease or difficulty with which it can be brought to mind. Because retrieving many pieces of information is more difficult than retrieving only a few, reliance on accessible content and subjective accessibility experiences leads to opposite judgmental outcomes. People are likely to base judgments on accessibility experiences when they adopt a heuristic processing strategy and the informational value of the experience is not called into question. When the experience is considered nondiagnostic, or when a systematic processing strategy is adopted, people rely on accessible content. Implications for the operation of the availability heuristic and the emergence of knowledge accessibility effects are discussed.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/68686/2/10.1207_s15327957pspr0202_2.pd

Nonequilibrium stationary states and equilibrium models with long range interactions

It was recently suggested by Blythe and Evans that a properly defined steady state normalisation factor can be seen as a partition function of a fictitious statistical ensemble in which the transition rates of the stochastic process play the role of fugacities. In analogy with the Lee-Yang description of phase transition of equilibrium systems, they studied the zeroes in the complex plane of the normalisation factor in order to find phase transitions in nonequilibrium steady states. We show that like for equilibrium systems, the ``densities'' associated to the rates are non-decreasing functions of the rates and therefore one can obtain the location and nature of phase transitions directly from the analytical properties of the ``densities''. We illustrate this phenomenon for the asymmetric exclusion process. We actually show that its normalisation factor coincides with an equilibrium partition function of a walk model in which the ``densities'' have a simple physical interpretation.Comment: LaTeX, 23 pages, 3 EPS figure

The Influence of Corporate Front-Group Stealth Campaigns

This research examined corporate front-group stealth campaigns. An experiment was conducted to examine the influence of front-group stealth campaigns on a variety of measures. It was anticipated that corporate front-group stealth campaigns, which feature names that mask the true interests of sponsors, positively affect public opinion, unless they are exposed as intentionally misleading, in which case they boomerang against sponsors. The experiment examined the potential of the inoculation strategy to preempt the influence of corporate front-group stealth campaigns. The pattern of results supported all of these expectations. Front-group stealth campaigns proved to be effective, at least in the short term. Front-group stealth campaigns eroded public attitudes toward the issue in question and boosted perceptions of the front group, but not the corporate sponsor. However, when front-group stealth campaigns were subsequently exposed, positive effects dissipated and perceptions of corporate sponsors boomeranged. Results revealed that inoculation can protect against the influence of front-group stealth campaigns.Yeshttps://us.sagepub.com/en-us/nam/manuscript-submission-guideline

Nietzsche or Aristotle: The implications for social psychology

YesIn this article, I argue that there is a divide in social psychology between a mainstream paradigm for investigating the flow of power in a largely competitive social life (such as social cognition, social identity theory, and discourse analysis) and a fringe paradigm for investigating the experience of flourishing in conditions of social learning (such as ‘the community of practice metaphor’, ‘dialogical theory’, ‘phenomenological analysis’). Assumptions of power and flourishing demand different conceptions of the self and the social world (e.g. a strategic subject or motivated tactician in a social group versus a reflective learner/artist in a community of practice). The first goal of this article is to reveal the assumptions that lead to this new classification. The second goal is to draw dotted lines to the blind-spots within these paradigms that each reveals. These blind spots are: 1) internal goods could be useful to consider for the power paradigm and external goods for the flourishing paradigm; 2) communicative rationality is underplayed within the power paradigm; while instrumental rationality is underplayed for the flourishing paradigm; 3) judgements and skill are underplayed in the power paradigm; self-interested motivations are underplayed in the flourishing paradigm