A Extended derivations and proofs A.1 Markov random field reformulation We prove in this section that under the Rich Sufficient Statistics condition (RSS)1, the log-partition function is the same in the original exponential family and in the bipartite MRF described in Section 2.2. Let us denote the latter log-partition function by Ã(θ). We first prove the following identity, introduced in the m...

1 This work is sponsored by DARPA under Fort Huachuca Contract No. DABT-63-92-C-0052 Abstract: In this paper we will introduce the use of dynamic vector force fields as a means of moving parts between work cells on an Intelligent Motion Surface (IMS). The idea is to put a force field around a part and move the force field in a continuous or discrete way, dragging the part along with the field. ...

We apply Renormalization Group techniques to the Real Time formulation of thermal field theory. Due to the separation between the T = 0 and the T = 0 part of the propagator in this formalism, one can derive exact evolution equations for the Green functions describing the effect of integrating out thermal fluctuations of increasing wavelengths, the initial conditions being the renormal-ized Gree...

In many mathematical and physical contexts spinors are treated as Grassmann odd valued fields. We show that it is possible to extend the classification of reality conditions on such spinors by a new type of Majorana condition. In order to define this graded Majorana condition we make use of pseudo-conjugation, a rather unfamiliar extension of complex conjugation to supernumbers. Like the symple...

Nonlinear growth of one-dimensional density structures with a frozen-in magnetic field is investigated in Newtonian cosmology. A mechanism of magnetic field amplification is discussed. We discuss the relation between the initial conditions for the velocity field and the basic time-scales determining the growth of the magnetized structure.

a. Introduction The primordial curvature perturbation ζ exists already a few Hubble times before the observable Universe enters the horizon. Its timeindependent value at that stage sets the initial condition for the subsequent evolution of all perturbations in the scalar and adiabatic mode, which in turn seem to the dominant (perhaps the only) cause of inhomogeneity in the Universe. The curvatu...

Double field theory describes a massless subsector of closed string theory with both momentum and winding excitations. The gauge algebra is governed by the Courant bracket in certain subsectors of this double field theory. We construct the associated nonlinear backgroundindependent action that is T-duality invariant and realizes the Courant gauge algebra. The action is the sum of a standard act...

A prospective clinical study of 181 patients with psoriasis seen in Seremban General Hospital showed the incidence of psoriasis among dermatology outpatients was 2.15%. A significantly higher proportion of male patients were affected, with a male to female ratio of 1.7:1. Within the racial groups; 63 were Malays, 37 Chinese, and 81 Indians. There was a significantly higher proportion of Indians...

We introduce the concept of fusion algebras at algebraic level, as a purely algebraic concept for the fusion algebras which appear in conformal field theory in mathematical physics. We first discuss the connection between fusion algebras at algebraic level and character algebras, a purely algebraic concept for Bose-Mesner algebras of association schemes. Through this correspondence, we establis...

BACKGROUND There is limited information in Ireland on the attitudes of GPs and practice nurses to lifestyle counselling and the strategies or approaches they use. Furthermore, there is no national framework or resources to support the systematic and uniform provision of lifestyle counselling. OBJECTIVES To explore the views of Irish primary health care practitioners about behavioural risk fac...