A noncommutative Brooks–Jewett Theorem

AbstractIn classical measure theory the Brooks–Jewett Theorem provides a finitely-additive-analogue to the Vitali–Hahn–Saks Theorem. In this paper, it is studied whether the Brooks–Jewett Theorem allows for a noncommutative extension. It will be seen that, in general, a bona-fide extension is not valid. Indeed, it will be shown that a C*-algebra A satisfies the Brooks–Jewett property if, and only if, it is Grothendieck, and every irreducible representation of A is finite-dimensional; and a von Neumann algebra satisfies the Brooks–Jewett property if, and only if, it is topologically equivalent to an abelian algebra

Portfolios in environmental education : the TEPEE project

Teaching and assessment in Environmental Education (EE) is rather complex because it needs to address the learners’ ability to ask questions, solve problems, and develop positive values. Portfolio assessment is a holistic way to evaluate the growth and development of skills and values in EE by providing a cumulative record of work carried out by students in a variety of contexts and allowing students to reflect on the process of how their views and values change. The main aim of this paper was to discuss the process of the development and implementation of a European Portfolio for Environmental Education by TEPEE (Towards a European Portfolio for Environmental Education) Network, within seven European countries. The paper narrates the development and implementation of EPEE through the eyes of the TEPEE scientific committee coming from the seven partner countries. Their views about the advantages and disadvantages of the use of portfolios within the context of EE were collected by means of questionnaires using open-ended questions. The results of the study suggest that the main advantage of using portfolio assessment is that it provides a holistic picture of the learning and growth of students in different contexts and situations. The major asset was the enthusiasm and motivation it raised among the teachers using it. The major difficulty was trying to change the assessment culture of teachers who were used to more traditional forms of assessment.peer-reviewe

Exact one-particle density matrix for SU(NN) fermionic matter-waves in the strong repulsive limit

We consider a gas of repulsive $N$-component fermions confined in a ring-shaped potential, subject to an effective magnetic field. For large repulsion strengths, we work out a Bethe ansatz scheme to compute the two-point correlation matrix and then the one-particle density matrix. Our results holds in the mesoscopic regime of finite but sufficiently large number of particles and system size that are not accessible by numerics. We access the momentum distribution of the system and analyse its specific dependence of interaction, magnetic field and number of components $N$. In the context of cold atoms, the exact computation of the correlation matrix to determine the interference patterns that are produced by releasing cold atoms from ring traps is carried out.Comment: 15 revtex pages, 6 figure

Ottubru

Ġabra ta’ poeżiji u proża li tinkludi: Lil San Pawl ta’ Dun Karm – Il-Ġid u d-Deni ta’ J. C. – Il-Gass ta’ Dun Karm – Ħolm ir-Ramla tan-Nadur ta’ Kr. Vella Ħaber – Dawl ta’ Tama ta’ Ġużi Chetcuti – Ottubru ta’ R. P.N/

Pb2+ Selectivity of Two New Mono Pyrene Acetamide Calix[4]arenes

The synthesis of a new mono tert-butyl ester mono pyrene acetamide calix[4]arene 2 and 5,11,17,23-tetra(tert-butyl)-25-pyrene acetamide-27-acid calix[4]arene 3, that both present pyrene fluorescent functionalities is reported. The binding properties towards a variety of transition and non-transition metal cations have been determined along with a fluorescence study. Particular selectivity to lead cations was observe

Report on the excavation of a Punic tomb

On 19th November 2001, while two of us (DB, NJC) were preparing a drawn record of the Punic tomb that is situated on Bajda Ridge, Xemxija, a small ceramic bowl (100211) was uncovered from below a few centimetres of soil that covered the inner part of the threshold to the rock-cut chamber (Fig. 1). An official from the Museums Department was informed of the discovery on the same day and a site inspection was carried out. It was realised that more artefacts could lie undisturbed within the chamber and a decision was taken to excavate the deposit. Authorisation for the Department of Classics and Archaeology, University of Malta, to undertake the excavation was received from the Director, Museums Department, and the excavation was completed on the 22nd November. The tomb is located on the ridge, near a path that diverges eastwards from the track that links Pwales valley to the Mistra valley. It is cut in the Upper Coralline limestone that outcrops in the area on a North-South axis and consists of a sub-rectangular chamber that is reached through a low entrance at the bottom of a rectangular shaft (Fig. 1). The tomb appears in an inventory for the first time in 1996 when it was listed in the survey of archaeological sites prepared by Malta University Services for the Planning Authority by Anthony Bonanno in connection with the preparation of the North-West local plan for Malta. The tomb had been examined and photographed by one of us (NCV) in 1992. At the time, it was littered with debris and it was only with difficulty that a view of the chamber could be achieved through the entrance that was partly concealed by an irregular blocking stone. Late in 2000, members of the St Paul's Bay Heritage Group lifted the debris from the trench and cleared the area around the site.peer-reviewe

Towards the probabilistic analysis of small bowel capsule endoscopy features to predict severity of duodenal histology in patients with villous atrophy

Small bowel capsule endoscopy (SBCE) can be complementary to histological assessment of celiac disease (CD) and serology negative villous atrophy (SNVA). Determining the severity of disease on SBCE using statistical machine learning methods can be useful in the follow up of patients. SBCE can play an additional role in differentiating between CD and SNVA. De-identified SBCEs of patients with CD and SNVA were included. Probabilistic analysis of features on SBCE were used to predict severity of duodenal histology and to distinguish between CD and SNVA. Patients with higher Marsh scores were more likely to have a positive SBCE and a continuous distribution of macroscopic features of disease than those with lower Marsh scores. The same pattern was also true for patients with CD when compared to patients with SNVA. The validation accuracy when predicting the severity of Marsh scores and when distinguishing between CD and SNVA was 69.1% in both cases. When the proportions of each SBCE class group within the dataset were included in the classification model, to distinguish between the two pathologies, the validation accuracy increased to 75.3%. The findings of this work suggest that by using features of CD and SNVA on SBCE, predictions can be made of the type of pathology and the severity of disease