Abbatial elections : the case of the Loire Valley in the eleventh century

This thesis examines a series of documents described as electoral charters, produced in monastic institutions of the Loire Valley from the late tenth to late eleventh centuries. By considering the variations in the formulas used for each charter, the study considers what the charters were saying about power or wanted to project about the powers at play in the events they described. Through this, the thesis demonstrates that the power of lordship projected by such documents was of a very traditional nature throughout the period in which they were being produced. The count’s role on each occasion showed him to be a dominant force with a power of lordship composed of possession and rights of property ownership, but also intangible elements, including a sacral interest. By considering the context of events surrounding each charter of election, the thesis demonstrates that elements of this lordship could be more or less projected at different times in order that different statements might be made about the count. Thus, the symbolic expressions of power appear to have been bigger elements or more strongly emphasised in periods when the count’s political or military power was under pressure. The differences in formulas used throughout the period of the charters’ production demonstrate that, despite the appearance of new elements that may appear to have been important novelties, these processes were likely to have been original to proceedings, and therefore the notions of a reform of investitures taking place in the mid-eleventh century must be nuanced. Instead of demonstrating a mutation in relationships between lord and Church, the documents demonstrate an alteration in style and content, becoming more narrative and verbose and in these ways revealing elements of the process of abbatial elevations that had previously been hidden from view

Periodic elements of the free idempotent generated semigroup on a biordered set

We show that every periodic element of the free idempotent generated semigroup on an arbitrary biordered set belongs to a subgroup of the semigroup

Dynamical Diffraction Theory for Wave Packet Propagation in Deformed Crystals

We develop a theory for the trajectory of an x ray in the presence of a crystal deformation. A set of equations of motion for an x-ray wave packet including the dynamical diffraction is derived, taking into account the Berry phase as a correction to geometrical optics. The trajectory of the wave packet has a shift of the center position due to a crystal deformation. Remarkably, in the vicinity of the Bragg condition, the shift is enhanced by a factor $\omega /\Delta \omega$ ($\omega$: frequency of an x ray, $\Delta\omega$: gap frequency induced by the Bragg reflection). Comparison with the conventional dynamical diffraction theory is also made.Comment: 4 pages, 2 figures. Title change

Largeness and SQ-universality of cyclically presented groups

Largeness, SQ-universality, and the existence of free subgroups of rank 2 are measures of the complexity of a finitely presented group. We obtain conditions under which a cyclically presented group possesses one or more of these properties. We apply our results to a class of groups introduced by Prishchepov which contains, amongst others, the various generalizations of Fibonacci groups introduced by Campbell and Robertson

Assessing the Viability of the EQ-5D as Part of a Battery of Outcomes in Elderly Total Knee Arthroplasty Patients: A Comparison of Generic, Condition-Specific, and Preference-Based Patient-Reported Outcome Measures

Background In the current economic climate it has become increasingly important to evaluate the effectiveness of expensive procedures such as total knee arthroplasties (TKAs). Patient-reported outcome measures, such as generic and condition-specific profile measures, are popular ways of determining outcomes. However, these cannot be used reliably for the purpose of economic evaluations. The EQ-5D, designed for cost-utility analysis, could offer potential advantages to outcome measurement; however, little is known about the viability and performance of this measure in more elderly (_ 75 years) patient cohorts. Aims The aim of this study was to assess the viability of the EQ-5D for use in the evaluation of TKA and to provide justification for its continued inclusion in the clinical audit of patients undergoing arthroplasty in a large general hospital. Methods Seven-hundred and seventy-nine consecutive patients undergoing TKA participated in this study. Self-report audit questionnaire booklets were administered at baseline (during a pre-admission clinic appointment) and six months post-operatively (postally). Booklets comprised of the Oxford Knee Scale (OKS;), 12-dimension Short Form (SF-12;), and the EQ-5D (). Results Two-hundred and forty-six subjects completed both the baseline and follow-up audit surveys. Correlations were strongest between the EQ-5D and OKS instruments (baseline: Tb=-0.58; p0.01; follow-up: Tb=-0.41; p0.01),.. The EQ-5D displayed large effect sizes (d=0.94) and was able to detect clinically important HRQoL improvements (ROC P-value=0.65; CI0.08; p0.001), discriminate those patients who were experiencing poorer pre-operative health (p0.001), and detect those who deteriorated post-operatively (p0.001). Adequate reliability (Cronbach's =0.79) of the EQ-5D instrument was seen post-operatively as well. Conclusions Results from this study reveal that the EQ-5D instrument shows good responsiveness to health changes in elderly TKA patients post-operatively. Its correlations with the OKS, detection of poorer pre-operative health, and detection of deterioration post-operatively also suggest good validity for the EQ-5D in this cohort. Finally, the relatively large reliability statistic post-operatively supports the use of the EQ-5D in audits. Together, these findings support the continued use of the EQ-5D instrument in future arthroplasty audits and provide evidence that it is viable for the use in cost-utility analysis.sch_phyunpub2424unpu

A-Polynomials of fillings of the Whitehead sister

Knots obtained by Dehn filling the Whitehead sister link include some of the smallest volume twisted torus knots. Here, using results on A-polynomials of Dehn fillings, we give formulas to compute the A-polynomials of these knots. Our methods also apply to more general Dehn fillings of the Whitehead sister link complement.Comment: 15 pages, 11 figure

Scottish theme towns: have new identities enhanced development?

Three small towns in southwest Scotland have recently been branded as distinct theme towns, based on books, artists and food. This is an attempt to make them more attractive to visitors and thereby improve their economy. The objective of this research is to establish whether the new identities possessed by the towns have enhanced their development. It is argued, using data reviewing the past decade, that they have all developed, albeit at different rates, in terms of the economy and culture. Moreover, it is maintained that social capital has been enhanced and is a factor whose importance has been under-appreciated by planners and observers of this type of process. The relevance of the new identity to the pre-branding identity is also seen as a factor in successful development and ideas of authenticity and heritage are brought to bear on the relationship

fac-Aqua­(2-carboxy­ethyl-κ2 C,O)trichlorido­tin(IV)–1,4,7,10,13-penta­oxacyclo­penta­deca­ne–water (1/1/2)

In the title compound, [Sn(C3H5O2)Cl3(H2O)]·C10H20O5·2H2O, the SnIV atom is octa­hedrally coordinated within a fac-CO2Cl3 donor set, arising from the C,O-bidentate carboxy­ethyl ligand, a water mol­ecule and three chloride ligands. In the crystal, supra­molecular chains linked by O—H⋯O hydrogen bonds propagate along the c axis These chains are connected into layers in the ac plane via C—H⋯O inter­actions

Ideals and finiteness conditions for subsemigroups

In this paper we consider a number of finiteness conditions for semigroups related to their ideal structure, and ask whether such conditions are preserved by sub- or supersemigroups with finite Rees or Green index. Specific properties under consideration include stability, D=J and minimal conditions on ideals.Comment: 25 pages, revised according to referee's comments, to appear in Glasgow Mathematical Journa