Some group properties associated with two-variable words

2011 - 2012Let w(x; y) be a word in two variables and W the variety determined by w. In this thesis, which includes a work made in collaboration with C. Nicotera [5], we raise the following question: if for every pair of elements a; b in a group G there exists g 2 G such that w(ag; b) = 1, under what conditions does the group G belong to W ? We introduce for every g 2 G the sets Ww L (g) = fa 2 G j w(g; a) = 1g and Ww R (g) = fa 2 G j w(a; g) = 1g ; where the letters L and R stand for left and right. In [2], M. Herzog, P. Longobardi and M. Maj observed that if a group G belongs to the class Y of all groups which cannot be covered by conjugates of any proper subgroup, then G is abelian if for every a; b 2 G there exists g 2 G for which [ag; b] = 1. Hence when G is a Y -group and w is the commutator word [x; y], the set Ww L (g) = Ww R (g) is the centralizer of g in G, and the answer to the problem is a rmative. If G belongs to the class Y , we show that, more generally, the problem has a positive answer whenever each subset Ww L (g) is a subgroup of G, or equivalently, if each subset Ww R (g) is a subgroup of G. The sets Ww L (g) and Ww R (g) can be called the centralizer-like subsets associated with the word w. They need not be subgroups in general: we examine some su cient conditions on the group G ensuring that the sets Ww L (g) and Ww R (g) are subgroups of G for all g in G. We denote by W w L and W w R respectively the class of all groups G for which the set Ww L (g) is a subgroup of G for every g 2 G and the class of all groups G for which each subset Ww R (g) is a subgroup... [edited by author]XI n.s

La riconquista della Tripolitania

La riconquista della Tripolitania / Francesco Meriano Milano : Imperia, 1923 81 p. ; 19 cm

Fate and transport of volatile organic compounds in glacial till and groundwater at an industrial site in Northern Ireland

Volatile organic compound (VOC) contamination of subsurface geological material and groundwater was discovered on the Nortel Monkstown industrial site, Belfast, Northern Ireland. The objectives of this study were to (1) investigate the characteristics of the geological material and its influences on contaminated groundwater flow across the site using borehole logs and hydrological evaluations, and (2) identify the contaminants and examine their distribution in the subsurface geological material and groundwater using chemical analysis. This report focuses on the eastern car park (ECP) which was a former storage area associated with trichloroethene (TCE) degreasing operations. This is where the greatest amount of volatile organic compounds (VOCs), particularly TCE, were detected. The study site is on a complex deposit of clayey glacial till with discontinuous coarser grained lenses, mainly silts, sands and gravel, which occur at 0.45-7.82 m below ground level (bgl). The lenses overall form an elongated formation that acts as a small unconfined shallow aquifer. There is a continuous low permeable stiff clayey till layer beneath the lenses that performs as an aquitard to the groundwater. Highest concentrations of VOCs, mainly TCE, in the geological material and groundwater are in these coarser lenses at similar to 4.5-7 m bgl. Highest TCE measurements at 390,000 mu g L-1 for groundwater and at 39,000 mu g kg(-1) at 5.7 m for geological material were in borehole GA19 in the coarse lens zone. It is assumed that TCE gained entrance to the subsurface near this borehole where the clayey till was thin to absent above coarse lenses which provided little retardation to the vertical migration of this dense non-aqueous phase liquid (DNAPL) into the groundwater. However, TCE is present in low concentrations in the geological material overlying the coarse lens zone. Additionally, VOCs appear to be associated with poorly drained layers and in peat < 3.0 m bgl in the ECP. Some indication of natural attenuation as VOCs degradation products vinyl chloride (VC) and dichloromethane (DCM) also occur on the site

Occupational therapy and return to work: a systematic literature review

<p>Abstract</p> <p>Background</p> <p>The primary aim of this review study was to gather evidence on the effectiveness in terms of return to work (RTW) of occupational therapy interventions (OTIs) in rehabilitation patients with non-congenital disorders. A secondary aim was to be able to select the most efficient OTI.</p> <p>Methods</p> <p>A systematic literature review of peer-reviewed papers was conducted using electronic databases (Cinahl, Cochrane Library, Ebsco, Medline (Pubmed), and PsycInfo). The search focussed on randomised controlled trials and cohort studies published in English from 1980 until September 2010. Scientific validity of the studies was assessed.</p> <p>Results</p> <p>Starting from 1532 papers with pertinent titles, six studies met the quality criteria. Results show systematic reviewing of OTIs on RTW was challenging due to varying populations, different outcome measures, and poor descriptions of methodology. There is evidence that OTIs as part of rehabilitation programs, increase RTW rates, although the methodological evidence of most studies is weak.</p> <p>Conclusions</p> <p>Analysis of the selected papers indicated that OTIs positively influence RTW; two studies described precisely what the content of their OTI was. In order to identify the added value of OTIs on RTW, studies with well-defined OT intervention protocols are necessary.</p

Progressive ductile shearing during till accretion within the deforming bed of a palaeo-ice stream

This paper presents the results of a detailed microstructural study of a thick till formed beneath the Weichselian (Devensian) Odra palaeo-ice stream, west of Środa Wielkopolska, Poland. This SE-flowing ice stream was one of a number of corridors of faster flowing ice which drained the Scandinavian Ice Sheet in the Baltic region. Macroscopically, the massive, laterally extensive till which formed the bed of this ice stream lacks any obvious evidence of glaciotectonism (thrusting, folding). However, microscale analysis reveals that bed deformation was dominated by foliation development, recording progressive ductile shearing within a subhorizontal subglacial shear zone. Five successive generations of clast microfabric (S1 to S5) have been identified defining a set of up-ice and down-ice dipping Riedel shears, as well as a subhorizontal shear foliation coplanar to the ice-bed interface. Cross-cutting relationships between the shear fabrics record temporal changes in the style of deformation during this progressive shear event. Kinematic indicators (S-C and ECC-type fabrics) within the till indicate a consistent SE-directed shear sense, in agreement with the regional ice flow pattern. A model of bed deformation involving incremental progressive simple shear during till accretion is proposed. The relative age of this deformation was diachronous becoming progressively younger upwards, compatible with subglacial shearing having accompanied till accretion at the top of the deforming bed. Variation in the relative intensity of the microfabrics records changes in the magnitude of the cumulative strain imposed on the till and the degree of coupling between the ice and underlying bed during fast ice flow

Nicole Meriano - Bachelor of Arts - Senior Recital

Arlequin, Louis Cahuzac (1880-1960) -- Poulenc Clarinet Sonata: I. Allegro Trsitamente; II. Romanza; III. Allegro con Fuoco / Francis Poulenc (1899-1963) -- Hommage a J.S. Bach / Bela Kovacs (1937-Present) -- Solo de Concours / Andre Messager (1853-1929)Music, Moores School o

Communication skills development after a drama program for children with social-pragmatic communication difficulties

The current study set out to describe a drama-based group intervention (InterAct) for children with social (pragmatic) communication difficulties and examine the outcomes, with a particular focus on methodologies suitable to measuring potential change. Those with difficulties in this area may have limitations in the skills that are important for achieving successful interactions with others. As a result, they are likely to struggle to develop and maintain meaningful relationships and are at a higher risk of being socially isolated or depressed. InterAct was conducted over 10 weeks and utilized scripting, storytelling and improvisation. The over- arching goals of the program were for the children to develop: (1) more effective social behaviour and interaction; (2) greater socio-emotional awareness of themselves and others, including skills in modulation of their own communication; and (3) more confidence in their communication abilities. Participants were between the ages of 6 and 9 years and had a range of conditions affecting social communication: autism spectrum disorder (ASD), complex developmental behaviour disorder, social anxiety and/or more global developmental delays (n=6). Because there is no consensus on how to evaluate social (pragmatic) communication, outcomes were assessed using a range of standardized tests and non-standard measures of social cognition and behaviour, including communication samples, a false-belief task, Goal Attainment Scaling (GAS: Kiresuk & Sherman, 1968), a parent-report questionnaire and participant interviews. Results suggest that some participants in the InterAct program showed gains in inferencing, flexible thinking and emotional embodiment, including improvement on a false- belief task. No change was observed for recognition of non-social emotions due to pre-program ceiling effects. Parents and participants indicated satisfaction with the program. Participant feedback indicated highlights in: (1) activities and games; (2) forming meaningful relationships; and (3) self-assurance. Additionally, gains were made in observed social communication, as measured by Goal Attainment Scaling (GAS). Overall, the findings show promising results for use of drama as a form of speech-language therapy for children with social skill deficits. This study discussed methodological considerations for future studies, including the potential for GAS to capture progress in social communication.Medicine, Faculty ofAudiology and Speech Sciences, School ofGraduat

Hydrogeology of a complex glacial system, Rouge River-Highland Creek watershed, Scarborough, Ontario

grantor: University of TorontoA conceptual three dimensional (3-D) numerical model representing the hydrostratigraphy and groundwater flow patterns for 500 km2 of a rapidly urbanized watershed (Rouge River Highland Creek; RRHC) in the eastern Greater Toronto Area has been developed using an extensive GIS-based collection of subsurface geological and hydrogeological data. Visual MODFLOW, a modular 3-D finite difference computer code was selected for the 3-D flow analysis. Water balance calculations indicate that 70% of the basin recharge (106,000 m3/d) enters the upper aquifer along the crest and immediate flanks of the Oak Ridges Moraine. To the south, upper aquifer water moving through fractured till aquitards accounts for more than 75% of recharge to deeper aquifers. These data confirm previous observations that urban- and rural-sourced contaminants present in upper aquifer waters (chlorides and nitrates) are moving rapidly into deeper aquifers. Some 83% of total RRHC recharge water is ultimately discharged as baseflow to creeks draining to Lake Ontario; the remainder discharges along eroding lakeshore bluffs and from a deep (lower) aquifer that includes fractured bedrock.M.Sc