Computing Zeros of Analytic Functions in the Complex Plane without using Derivatives

A new approach to evaluating all multiple complex roots of analytical function f(z) confined to the specified rectangular domain of complex plane has been developed and implemented in Fortran code. Generally f (z), despite being holomorphic function, does not have a closed analytical form thereby inhibiting explicit evaluation of its derivatives. The latter constraint poses a major challenge to implementation of the robust numerical algorithm. This work is at the instrumental level and provides an enabling tool for solving a broad class of eigenvalue problems and polynomial approximations.

Marginalization, deprivation, and fatalism in the Republic of Ireland. Class and underclass perspectives

The emergence of large-scale long-term unemployment in the Republic of Ireland suggests that it might provide an interesting case to which to apply the concept of an 'underclass'. In this paper we explore the relationship between labour-market marginality, deprivation, and fatalism. The available evidence in relation to both social isolation and milieu effects suggests that the term 'underclass' can have only a very limited applicability in the Irish case. Instead, what we ate confronted with is different types of working-class marginalization arising from the rapid and uneven nature of class transformation in Ireland and changing patterns of emigration. In relation to what we have termed 'pervasive marginalization' the costs of economic change have been borne disproportionately by those members of the younger cohorts originating in the lower working class rather than by those in particular locations. The evidence relating to the social and psychological consequences of labour-market detachment, rather than providing support for the value of an 'underclass' perspective, confirms the continued relevance of class analysis.

Calcium binding proteins in the liver fluke, Fasciola hepatica

The common liver fluke, Fasciola hepatica, is a parasite of mammals. In the western world its effects are largely felt on agriculture where infection of cows, sheep and other farm animals is estimated to cause millions of dollars ofif financial losses. In the developing world, the problem is even more serious with an estimated 7 million infected people and many millions more at risk of infection. Calcium signalling is of key importance in all eukaryotic species and recent discoveries of novel types of calcium binding proteins in liver flukes (and related trematodes) suggest that there may be calcium signalling processes which are unique to this group of organisms. If so, these pathways may provide potential targets for the design of novel anthelmintic drugs. Here, we review three main groups of F. hepatica calcium binding proteins: the FH8 family, the calmodulin family (FhCaM1, FhCaM2 and FhCaM3) and the EF-hand/dynein light chain family (FH22, FhCaBP3, FhCaBP4). Considerable information has been gathered on the sequences, predicted structures and biochemical properties of these molecules. The challenge now is to understand their functions in the organism.

Intersectin is a negative regulator of dynamin recruitment to the synaptic endocytic zone in the central synapse

Intersectin is a multidomain dynamin-binding protein implicated in numerous functions in the nervous system, including synapse formation and endocytosis. Here, we demonstrate that during neurotransmitter release in the central synapse, intersectin, like its binding partner dynamin, is redistributed from the synaptic vesicle pool to the periactive zone. Acute perturbation of the intersectin-dynamin interaction by microinjection of either intersectin antibodies or Src homology 3 (SH3) domains inhibited endocytosis at the fission step. Although the morphological effects induced by the different reagents were similar, antibody injections resulted in a dramatic increase in dynamin immunoreactivity around coated pits and at constricted necks, whereas synapses microinjected with the GST (glutathione S-transferase)-SH3C domain displayed reduced amounts of dynamin in the neck region. Our data suggest that intersectin controls the amount of dynamin released from the synaptic vesicle cluster to the periactive zone and that it may regulate fission of clathrin-coated intermediates.

The role of Mittag-Leffler functions in anomalous relaxation

The inertia-corrected Debye model of rotational Brownian motion of polar molecules was generalized by Coffey et al. [Phys. Rev. E, 65, 32 102 (2002)] to describe fractional dynamics and anomalous rotational diffusion. The linear- response theory of the normalized complex susceptibility was given in terms of a Laplace transform and as a function of frequency. The angular-velocity correlation function was parametrized via fractal Mittag-Leffler functions. Here we apply the latter method and complex-contour integral- representation methods to determine the original time-dependent amplitude as an inverse Laplace transform using both analytical and numerical approaches, as appropriate. (C) 2004 Elsevier B.V. All rights reserved.

The resonance spectrum of the cusp map in the space of analytic functions

We prove that the Frobenius-Perron operator $U$ of the cusp map $F:[-1,1]\to [-1,1]$, $F(x)=1-2 x^{1/2}$ (which is an approximation of the Poincare section of the Lorenz attractor) has no analytic eigenfunctions corresponding to eigenvalues different from 0 and 1. We also prove that for any $q\in (0,1)$ the spectrum of $U$ in the Hardy space in the disk $\{z\in C:|z-q|

Credit and community: working class debt in the UK since 1880

This book examines credit in working class communities since 1880, focusing on forms of borrowing that were dependent on personal relationships and social networks. It provides an extended historical discussion of credit unions, legal and illegal moneylenders (loan sharks), and looks at the concept of ‘financial exclusion’. Initially, the book focuses on the history of tallymen, check traders, and their eventual movement into moneylending following the loss of their more affluent customers, due to increased spending power and an increasingly liberalized credit market. They also faced growing competition from mail order companies operating through networks of female agents, whose success owed much to the reciprocal cultural and economic conventions that lay at the heart of traditional working class credit relationships. Discussion of these forms of credit is related to theoretical debates about cultural aspects of credit exchange that ensured the continuing success of such forms of lending, despite persistent controversies about their use. The book contrasts commercial forms of credit with formal and informal co-operative alternatives, such as the mutuality clubs operated by co-operative retailers and credit unions. It charts the impact of post-war immigration upon credit patterns, particularly in relation to the migrant (Irish and Caribbean) origins of many credit unions and explains the relative lack of success of the credit union movement. The book contributes to anti-debt debates by exploring the historical difficulties of developing legislation in relation to the millions of borrowers who have patronized what has come to be termed the sub-prime sector.

Class and Performance in the Age of Global Capitalism

This article addresses the relative absence of class-based analysis in theatre and performance studies, and suggests the reconfiguration of class as performance rather than as it is traditionally conceived as an identity predicated solely on economic stratification. It engages with the occlusion of class by the ascendancy of identity politics based on race, gender and sexuality and its attendant theoretical counterparts in deconstruction and post-structuralism, which became axiomatic as they displaced earlier methodologies to become hegemonic in the arts and humanities. The article proceeds to an assessment of the development of sociological approaches to theatre, particularly the legacy of Raymond Williams and Pierre Bourdieu. The argument concludes with the application of an approach which reconfigures class as performance to the production of Declan Hughes's play Shiver of 2003, which dramatizes the consequences of the dot.com bubble of the late 1990s for ambitious members of the Irish middle class.