6,434 research outputs found
Move Over, There's Room Enough: Performance Making Diploma: training for learning disabled adults
In its second year, the Performance Making Diploma at Royal Central School of Speech and Drama (Central), won the Guardian University Award for Student Diversity and Widening Participation 2015. A one-year, part-time diploma, the first cohort has graduated and many have undertaken their first venture in professional work. This Points and Practice piece is an edited version of an email interview between Sally Mackey and Liselle Terret. Together with Nick Llewellyn from Access All Areas, Liselle created the Diploma
Enforcement of State Annexed-Arbitration Rules in Federal Courts with Diversity Jurisdiction: Towey v. Catling
Both state and federal court systems are swamped with litigants. This fact is so widely recognized, repeating it almost seems unnecessary. Courts experiment with a variety of approaches just to pump some of this litigious bilge into alternative forums for resolution. The state of Hawaii sought to lighten its overburdened docket with a Court Annexed Arbitration Program.2 It provides for mandatory submission of certain tort claims to arbitration.\u27 It is non-binding and either party may obtain a trial de novo at its conclusion.4 However, to do so is not without risk. Pursuit of a trial de novo gambles not only with the possibility of a less favorable outcome, but also with payment of the opponent\u27s attorney\u27s fees should one fail to improve upon the arbitrators judgment by at least 15%. 5 Disincentives such as this potential penalty are a common and integral element of an effective mandatory arbitration program.6 Without penalties there exists little, if any, reason for a dissatisfied party not to take a second bite at the apple
Irreversible Thermodynamics in Multiscale Stochastic Dynamical Systems
This work extends the results of the recently developed theory of a rather
complete thermodynamic formalism for discrete-state, continuous-time Markov
processes with and without detailed balance. We aim at investigating the
question that whether and how the thermodynamic structure is invariant in a
multiscale stochastic system. That is, whether the relations between
thermodynamic functions of state and process variables remain unchanged when
the system is viewed at different time scales and resolutions. Our results show
that the dynamics on a fast time scale contribute an entropic term to the
"internal energy function", , for the slow dynamics. Based on the
conditional free energy , one can then treat the slow dynamics as if
the fast dynamics is nonexistent. Furthermore, we show that the free energy,
which characterizes the spontaneous organization in a system without detailed
balance, is invariant with or without the fast dynamics: The fast dynamics is
assumed to reach stationarity instantaneously on the slow time scale; they have
no effect on the system's free energy. The same can not be said for the entropy
and the internal energy, both of which contain the same contribution from the
fast dynamics. We also investigate the consequences of time-scale separation in
connection to the concepts of quasi-stationaryty and steady-adiabaticity
introduced in the phenomenological steady-state thermodynamics
Three results on representations of Mackey Lie algebras
I. Penkov and V. Serganova have recently introduced, for any non-degenerate
pairing of vector spaces, the Lie algebra
consisting of endomorphisms of whose
duals preserve . In their work, the category
of -modules which are finite
length subquotients of the tensor algebra is singled out and
studied. In this note we solve three problems posed by these authors concerning
the categories . Denoting by
the category with the same objects as
but regarded as -modules, we first
show that when and are paired by dual bases, the functor
taking a module to
its largest weight submodule with respect to a sufficiently nice Cartan
subalgebra of is a tensor equivalence. Secondly, we prove that
when and are countable-dimensional, the objects of
have finite length as -modules.
Finally, under the same hypotheses, we compute the socle filtration of a simple
object in as a -module.Comment: 9 page
Oscillations in a maturation model of blood cell production.
We present a mathematical model of blood cell production which describes both the development of cells through the cell cycle, and the maturation of these cells as they differentiate to form the various mature blood cell types. The model differs from earlier similar ones by considering primitive stem cells as a separate population from the differentiating cells, and this formulation removes an apparent inconsistency in these earlier models. Three different controls are included in the model: proliferative control of stem cells, proliferative control of differentiating cells, and peripheral control of stem cell committal rate. It is shown that an increase in sensitivity of these controls can cause oscillations to occur through their interaction with time delays associated with proliferation and differentiation, respectively. We show that the characters of these oscillations are quite distinct and suggest that the model may explain an apparent superposition of fast and slow oscillations which can occur in cyclical neutropenia. © 2006 Society for Industrial and Applied Mathematics
- …