Nonlinear time series prediction based on a power-law noise model

In this paper we investigate the influence of a power-law noise model, also called noise, on the performance of a feed-forward neural network used to predict time series. We introduce an optimization procedure that optimizes the parameters the neural networks by maximizing the likelihood function based on the power-law model. We show that our optimization procedure minimizes the mean squared leading to an optimal prediction. Further, we present numerical results applying method to time series from the logistic map and the annual number of sunspots demonstrate that a power-law noise model gives better results than a Gaussian model.

Parish farms and the poor law: a response to unemployment in rural southern England, c.1815-1835

Finding a ‘solution’ for the seemingly intractable problem of unemployment in post-Napoleonic rural England was the Holy Grail for many vestries. Yet, whilst we know much about the depth and consequences of unemployment, parish-driven schemes to set the poor to work have been subjected to remarkably little in the way of systematic study. This paper focuses on one such policy that remains entirely obscure: parish farms, the hiring of pre-existing farms or fields by the parish on which to employ those out of work. Bearing a ‘family resemblance’ to allotments and other land-based attempts to alleviate poverty, parish farms were unique in that they were managed in all regards by the parish and were an employment strategy as opposed to a scheme to supplement the incomes of the poor. Whilst the archive of parish farms is often frustratingly opaque, it is shown that before they were effectively outlawed by the passing of the New Poor Law, many southern parishes, especially in the Weald of Kent and Sussex, adopted the scheme, occasionally with great success.

Verification of McCabe's Delta L Law for Growth of Lysozyme Crystals by Hanging Drop Method

Lysozyme is a naturally occurring enzyme in egg white and has high commercial importance due to its antimicrobial properties. The main objective of this work was to study the growth rate of lysozyme crystals isolated from egg for the first 72 hours and verify the results with McCabe’s constant crystal growth theory. Hanging drop crystallization method was used to form high purity lysozyme crystals from the embryonic stage. To this end, this work differs from an earlier work of Forsythe et al., who used seed crystals in the size range of 10 µm - 40 µm for face growth measurements at different pH values. The maximum crystal size recorded in the present work was 392.86 µm, which is within the typical size range of 50 µm - 500 µm for which constant crystal growth is expected to hold according to McCabe’s ?L law. Electron micrographs (SEM) revealed the structure and dimensions of the crystals while SDS-Page was used to measure the purity of the crystals. The SEM results showed that that lysozyme growth rate was linear and agreed with McCabe’s constant growth theory, producing a growth rate of 1.77 x 10-3 µm .s-1

Book Review: Critical Perspectives on Human Rights and Disability Law

Book Review

Annotated Bibliography: Grande Bretagne / Great Britain: Part Four: Administrative Law texts

(with C. N. Doe).

“The Role of Judges in the Formation of Public Law: Activism or Autolimitation?

(with G. Anthony).