Social Context and Economic Biases in Representation

This article explores the role of political context in shaping economic biases in representation-the degree to which wealthy citizens' views are more strongly represented than poorer citizens' views in the choices of policymakers. I develop a general model that explains why poorer citizens will be better represented relative to the rich in certain political contexts than others, arguing that the relative representation of the poor will be stronger in contexts that make the views of the poor relevant and accessible to policymakers. I then derive several specific hypotheses that flow from this model and test these hypotheses through a study of the dyadic relationships between citizens and their representatives in the U.S. Congress. The results show that poorer citizens are better represented relative to the rich in Congressional districts that are electorally competitive, have low median incomes, have relatively equal distributions of incomes, have a significant organized labor presence, and are represented by Democrats.

The Representation of Motherhood in Polish Cinema

The project aimed to analyse representations of motherhood in Polish cinema as a special case of a more general system within the representation of women. It concentrated on the image of the Polish Mother created during the 19th century in Polish culture under the influence of specific political, social and religious factors. Ms. Ostrowska's initial hypothesis was that this symbolic image became one of the most stable elements in Polish cinema and as her research revealed, it was valuable for the preservation of national identity but nevertheless a fiercely constraining model for Polish femininity. In order to fully understand the nature of this persistent image it was initially necessary to related it to broader contexts and issues in representation. These included the image of the Polish Mother within general mythological structures (using the notion of myth in the Barthesian sense). Following her initial research Ms. Ostrowska felt that it was most appropriate to view the myth of the Polish Mother as a dominant ideological structure in the discourse of motherhood within Polish culture. An analysis of the myth of the Polish Mother can provide an insight into how Polish society sees itself at different periods in time and how a national identity was constructed in relation to particular ideological demands stemming from concrete historical and political situations. The analysis of the film version of this myth also revealed some aspects of the national character of Polish cinema. There the image of woman has become enshrined as the "eternal feminine", with virtues which are inevitably derived directly from Catholicism, particularly in relation to the networks of meanings around the central figure of Mary, Mother of God. In 19th century Poland these were linked with patriotic values and images of woman became part of the defence of the very idea of Poland and Polishness. After World War Two, this religious-political image system was adapted to the demands of the new communist ideology. The possibility of manipulating the ideological dimensions of the myth of the Polish Mother is due to the very nature of the image, which as a symbol of civil religion had been able to function independently of any particular state or church institution. Although in communist ideology the stress was on the patriotic aspect of the myth, its pronounced religious aspect was also transmitted, consciously or not, in the denotation process, this being of great significance in the viewer's response to the female character. This appropriation of elements derived from the national patriotic tradition into the discourse of communist ideology was a very efficient strategy to establish the illusion of continuity in national existence, which was supposed to convince society of the rightness of the new political situation. The analysis of films made in the post-war period showed the persistence of this discourse on motherhood in a range of cinematic texts regardless of the changing political situation. Ms. Ostrowska claims that the stability of this discursive formation is to a certain extent the result of the mythological aspect of the mother figure. This mythological structure also belongs to the ideology of Romanticism which in general continues to prevail in Polish cultural discourse as a meta-language of national community. The analysis of the films confirmed the hypothesis of the Polish Mother as a myth-sign whose signifier is stable whereas the signified depends on the specific historical conditions in which it is set. Therefore in the famous propaganda documentary Kobiety naszych dni (Women of Our Days, 1951) by Jan Zelnik, and in other films made after the October 1956 "thaw" it functions as an "empty sign. She concludes that it would be difficult to deny that the myth of the Polish Mother has offered Polish women a special role in national life, granting them a high moral position in the social, hierarchy. However the processes of idealisation involved have resulted in a deprivation of her subjectivity and the right to decide about her own life. This idealisation also served to strengthen traditional patriarchal structures through this set of female obligations to the mother land. In Polish ideology it is not a man who demands sacrifice from a woman but the motherland, which, deprived of the institutions of male power for nearly 150 years, had functioned as a feminine structure. That is why oppressive aspects of the myth have been obscured for so long. While Polish women were doubtless able to accept the constrictions because of their sense of national duty and any misgivings were overridden by the argument of the cause, it is important to recognise that the strength of these constructions, compounded by the ways in which they spoke of and continue to speak of a certain perfection, make them persist into contemporary Poland. Poland is however no longer embattled and the signs that made these meanings are potentially empty. This space for meaning will be and is already being contested and increasingly colonised by current western models of femininity. Ms. Ostrowska's final question is whether this will help to prevent a possible resentful victimisation of the silent and noble Polish Mother.

Mapping of direction and muscle representation in the human primary motor cortex controlling thumb movements

Larger body parts are somatotopically represented in the primary motor cortex (M1), while smaller body parts, such as the fingers, have partially overlapping representations. The principles that govern the overlapping organization of M1 remain unclear. We used transcranial magnetic stimulation (TMS) to examine the cortical encoding of thumb movements in M1 of healthy humans. We performed M1 mapping of the probability of inducing a thumb movement in a particular direction and used low intensity TMS to disturb a voluntary thumb movement in the same direction during a reaction time task. With both techniques we found spatially segregated representations of the direction of TMS-induced thumb movements, thumb flexion and extension being best separated. Furthermore, the cortical regions corresponding to activation of a thumb muscle differ, depending on whether the muscle functions as agonist or as antagonist for flexion or extension. In addition, we found in the reaction time experiment that the direction of a movement is processed in M1 before the muscles participating in it are activated. It thus appears that one of the organizing principles for the human corticospinal motor system is based on a spatially segregated representation of movement directions and that the representation of individual somatic structures, such as the hand muscles, overlap.

Benson's Theorem for Partial Geometries

In 1970 Clark Benson published a theorem in the Journal of Algebra stating a congruence for generalized quadrangles. Since then this theorem has been expanded to other specific geometries. In this thesis the theorem for partial geometries is extended to develop new divisibility conditions for the existence of a partial geometry in Chapter 2. Then in Chapter 3 the theorem is applied to higher dimensional arcs resulting in parameter restrictions on geometries derived from these structures. In Chapter 4 we look at extending previous work with partial geometries with α = 2 to uncover potential partial geometries with higher values of α. Finally the theorem is extended to strongly regular graphs in Chapter 5. In addition we obtain expressions for the multiplicities of the eigenvalues of matrices related to the adjacency matrices of these graphs. Finally, a four lesson high school level enrichment unit is included to provide students at this level with an introduction to partial geometries, strongly regular graphs, and an opportunity to develop proof skills in this new context.

A Simple Algorithm for Unique Representation of Chemical Structures - Cyclic/ Acyclic Functionalized Achiral Hydrocarbons

An algorithm, based on ‘vertex priority values’ has been proposed to uniquely sequence and represent connectivity matrix of chemical structures of cyclic/ acyclic functionalized achiral hydrocarbons and their derivatives. In this method ‘vertex priority values’ have been assigned in terms of atomic weights, subgraph lengths, loops, and heteroatom contents. Subsequently the terminal vertices have been considered upon completing the sequencing of the core vertices. This approach provides a multilayered connectivity graph, which can be put to use in comparing two or more structures or parts thereof for any given purpose. Furthermore the basic vertex connection tables generated here are useful in the computation of characteristic matrices/ topological indices, automorphism groups, and in storing, sorting and retrieving of chemical structures from databases.