Complete nonlinear theory of longitudinal-to-transverse dust lattice mode coupling in a single-layer dusty plasma crystal

A comprehensive nonlinear model is put forward for coupled longitudinal to transverse displacements in a horizontal dust mono-layer, levitated under the combined influence of gravity and an electric and/or magnetic sheath field. A set of coupled nonlinear evolution equations are obtained in a discrete description, and a pair of coupled (Boussinesq-like) PDEs are obtained in the continuum approximation. Finally, the amplitude modulation of the coupled modes is discussed, pointing out the importance of the coupling. All these results are generic, i.e. valid for any assumed form of the inter-grain interaction potential U and the sheath potential Phi.

A note on the graded K-theory of certain graded rings

Following ideas of Quillen we prove that the graded K-theory of a Z-multi-graded ring with support contained in a pointed cone is entirely determined by the K-theory of the sub-ring of elements of degree 0.

A splitting result for the algebraic K-theory of projective toric schemes

Suppose X is a projective toric scheme defined over a ring R and equipped with an ample line bundle L . We prove that its K-theory has a direct summand of the form K(R)(k+1) where k = 0 is minimal such that L?(-k-1) is not acyclic. Using a combinatorial description of quasi-coherent sheaves we interpret and prove this result for a ring R which is either commutative, or else left noetherian.

Beyond the Sign. Henri Meschonnic's Poetics of Rhythm and Continuum. Towards an Anthropological Theory of Language

Basing the conception of language on the sign represents also an obstacle to the awareness of certain elements of human life, especially to a full understanding of what language or art do, Henri Meschonnic’s poetics of the continuum and of rhythm criticizes the sign based on Benveniste’s terms of rhythm and discourse, developing an anthropology of language. Rhythm, for Meschonnic, is no formal metrical but a semantic principle, each time unique and unforeseeable. As for Humboldt, his starting point is not the word but the ensemble of speech; language is not ergon but energeia. The poem then is not a literary form but a process of transformation that Meschonnic defines as the invention of a form of life by a form of language and vice versa. Thus a poem is a way of thinking and rhythm is form in movement. The particular subject of art and literature is consequently not the author but a process of subjectivation – this is the contrary of the conception of the sign. By demonstrating the limits of the sign, Meschonnic’s poetics attempts to thematize the intelligibility of presence. Art and literature raise our awareness of this element of human life we cannot grasp conceptually. This poetical thinking is a necessary counterforce against all institutionalization.

Bridging Jeffrey's Rule, AGM Revision and Dempster Conditioning in the Theory of Evidence

Belief revision characterizes the process of revising an agent’s beliefs when receiving new evidence. In the field of artificial intelligence, revision strategies have been extensively studied in the context of logic-based formalisms and probability kinematics. However, so far there is not much literature on this topic in evidence theory. In contrast, combination rules proposed so far in the theory of evidence, especially Dempster rule, are symmetric. They rely on a basic assumption, that is, pieces of evidence being combined are considered to be on a par, i.e. play the same role. When one source of evidence is less reliable than another, it is possible to discount it and then a symmetric combination operation
is still used. In the case of revision, the idea is to let prior knowledge of an agent be altered by some input information. The change problem is thus intrinsically asymmetric. Assuming the input information is reliable, it should be retained whilst the prior information should be changed minimally to that effect. To deal with this issue, this paper defines the notion of revision for the theory of evidence in such a way as to bring together probabilistic and logical views. Several revision rules previously proposed are reviewed and we advocate one of them as better corresponding to the idea of revision. It is extended to cope with inconsistency between prior and input information. It reduces to Dempster
rule of combination, just like revision in the sense of Alchourron, Gardenfors, and Makinson (AGM) reduces to expansion, when the input is strongly consistent with the prior belief function. Properties of this revision rule are also investigated and it is shown to generalize Jeffrey’s rule of updating, Dempster rule of conditioning and a form of AGM revision.

Theory of the Kinetics of Chemical Potentials in Heterogeneous Catalysis

Simple and powerful: The reaction kinetics at surfaces of heterogeneous catalysts is reformulated in terms of the involved chemical potentials. Based on this formulism, an approach of searching for good catalysts is proposed without recourse to extensive calculations of reaction barriers and detailed kinetic analyses. (see picture; R=reactant, I=surface intermediate, P=product, and =standard chemical potential).

Parenting Control in Contexts of Political Violence: Testing Bidirectional Relations Between Violence Exposure and Control in Post-Accord Belfast

Objective. The authors examined bidirectional relations between youth exposure to sectarian and nonsectarian antisocial behavior and mothers' efforts to control youths' exposure to community violence in Belfast, Northern Ireland. Design. Mother-child dyads (N = 773) were interviewed in their homes twice over 2 years regarding youths' exposure to sectarian and nonsectarian community antisocial behavior and mothers' use of control strategies, including behavioral and psychological control. Results. Youths' exposure to nonsectarian antisocial behavior was related to increases in mothers' use of behavioral and psychological control strategies over time, controlling for earlier levels of these constructs. Reflecting bidirectional relations, mothers' behavioral control strategies were associated with youths' reduced exposure to nonsectarian and sectarian antisocial behavior over time, whereas psychological control was not related to reduced exposure. Conclusion. Only nonsectarian community violence was associated longitudinally with mothers' increased use of control strategies, and only behavioral control strategies were effective in reducing youths' exposure to community antisocial behavior, including sectarian and nonsectarian antisocial behavior.

Sectarian and Nonsectarian Violence: Mothers' Appraisals of Political Conflict in Northern Ireland

Past research on peace and conflict in Northern Ireland has focused on politically motivated violence. However, other types of crime (i.e., nonsectarian) also impact community members. To study the changing nature of violence since the signing of the Belfast Agreement in Northern Ireland, we used a qualitative approach and the Constant Comparative Method to analyze focus group discussions with mothers from segregated Belfast neighborhoods. Participants articulated clear differences between sectarian and nonsectarian violence, and further distinguished sectarian violence along 2 dimensions—overt acts and perceived intergroup threat. Although both sectarian and nonsectarian antisocial behavior related to insecurity, participants described pulling together and increased ingroup social cohesion in response to sectarian incidents. The findings have implications for the study of violence and insecurity as experienced in the everyday lives of mothers, youth, and families in settings of protracted conflict.