The density of injective endomorphisms of a free group

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On the number of K3,3-minor-free and maximal K3,3-minor-free graphs

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Diophantine approximation on projective varieties I: algebraic distance and metric Bézout theorem

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The Benefits of building barrier-free: a contingent valuation of accessibilty as an attribute of housing

Estimating the social benefits of barrier-free building has always required indirect solutions, such as calculating the savings in social services, hospitalisation or adaptations made possible by the increase in accessibility. This research uses the Contingent Valuation Method to gain a direct appraisal of the benefits from barrier-free housing. When comparing two similar dwellings, with the only difference being their accessibility conditions, the 1,007 randomly chosen households that answered the direct survey would pay, on average 12.5 per cent more for being barrier-free. None of the different appraisals made on accessibility costs reaches 5 per cent. This confirms the social profitability of building without barriers and shows the potential size of the private market for those housing developers that meet the demand. Accessibility is a general concern, an economic good or attribute that most households value, irrespective of the physical conditions of their members.

Parabolic and quasiparabolic subgroups of free partially commutative groups

Let Γ be a finite graph and G be the corresponding free partially commutative group. In this paper we study subgroups generated by vertices of the graph Γ, which we call canonical parabolic subgroups. A natural extension of the definition leads to canonical quasiparabolic subgroups. It is shown that the centralisers of subsets of G are the conjugates of canonical quasiparabolic centralisers satisfying certain graph theoretic conditions.

The Spread of free-riding behavior in a social network

We study a model where agents, located in a social network, decide whether to exert effort or not in experimenting with a new technology (or acquiring a new skill, innovating, etc.). We assume that agents have strong incentives to free ride on their neighbors' effort decisions. In the static version of the model efforts are chosen simultaneously. In equilibrium, agents exerting effort are never connected with each other and all other agents are connected with at least one agent exerting effort. We propose a mean-field dynamics in which agents choose in each period the best response to the last period's decisions of their neighbors. We characterize the equilibrium of such a dynamics and show how the pattern of free riders in the network depends on properties of the connectivity distribution.

The Paralympic Village: a barrier-free city

Article describing the design standards and their use for Paralympic facilities. This article was published in the book entitled Olympic Villages: a hundred years of urban planning and shared experiences compiling the papers given at the 1997 International Symposium on International Chair in Olympism (IOC-UAB).

Non-assisted versus neuro-navigated and XperCT-guided external ventricular catheter placement: a comparative cadaver study.

BACKGROUND AND PURPOSE: Accurate placement of an external ventricular drain (EVD) for the treatment of hydrocephalus is of paramount importance for its functionality and in order to minimize morbidity and complications. The aim of this study was to compare two different drain insertion assistance tools with the traditional free-hand anatomical landmark method, and to measure efficacy, safety and precision. METHODS: Ten cadaver heads were prepared by opening large bone windows centered on Kocher's points on both sides. Nineteen physicians, divided in two groups (trainees and board certified neurosurgeons) performed EVD insertions. The target for the ventricular drain tip was the ipsilateral foramen of Monro. Each participant inserted the external ventricular catheter in three different ways: 1) free-hand by anatomical landmarks, 2) neuronavigation-assisted (NN), and 3) XperCT-guided (XCT). The number of ventricular hits and dangerous trajectories; time to proceed; radiation exposure of patients and physicians; distance of the catheter tip to target and size of deviations projected in the orthogonal plans were measured and compared. RESULTS: Insertion using XCT increased the probability of ventricular puncture from 69.2 to 90.2 % (p = 0.02). Non-assisted placements were significantly less precise (catheter tip to target distance 14.3 ± 7.4 mm versus 9.6 ± 7.2 mm, p = 0.0003). The insertion time to proceed increased from 3.04 ± 2.06 min. to 7.3 ± 3.6 min. (p < 0.001). The X-ray exposure for XCT was 32.23 mSv, but could be reduced to 13.9 mSv if patients were initially imaged in the hybrid-operating suite. No supplementary radiation exposure is needed for NN if patients are imaged according to a navigation protocol initially. CONCLUSION: This ex vivo study demonstrates a significantly improved accuracy and safety using either NN or XCT-assisted methods. Therefore, efforts should be undertaken to implement these new technologies into daily clinical practice. However, the accuracy versus urgency of an EVD placement has to be balanced, as the image-guided insertion technique will implicate a longer preparation time due to a specific image acquisition and trajectory planning.

Brown representability does not come for free

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On the intersection of free subgroups in free products of groups

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Developmental expression of glial fibrillary acidic protein and glutamine synthetase in serum-free aggregating cell cultures of fetal rat telencephalon.

Serum-free aggregating cell cultures of fetal rat telencephalon were examined by a combined biochemical and double-labeling immunocytochemical study for the developmental expression of glial fibrillary acidic protein (GFAP) and glutamine synthetase (GS). It was found that these two astroglial markers are co-expressed at different developmental stages in vitro. During the phase of cellular maturation (i.e. between days 14 and 34), GFAP levels and GS activity increase rapidly and in parallel. At the same time, the number of immunoreactive cells increase while the long and thick processes staining in early cultures gradually disappear. The present results demonstrate that in this particular cell culture system only one type of astrocytes develops which expresses both GFAP and GS and which attains a relatively high degree of maturation.

Reproducibility of free-breathing cardiovascular magnetic resonance coronary angiography.

OBJECTIVE: Contemporary free-breathing non contrast enhanced cardiovascular magnetic resonance angiography (CMRA) was qualitatively and quantitatively evaluated to ascertain the reproducibility of the method for coronary artery luminal dimension measurements. SUBJECTS AND METHODS: Twenty-two healthy volunteers (mean age 32 +/- 7 years, 12 males) without coronary artery disease were imaged at 2 centers (1 each in Europe and North America) using navigator-gated and corrected SSFP CMRA on a commercial whole body 1.5T System. Repeat images of right (RCA, n = 21), left anterior descending (LAD, n = 14) and left circumflex (LCX, n = 14) coronary arteries were obtained in separate sessions using identical scan protocol and imaging parameters. True visible vessel length, signal-to-noise (SNR), contrast-to-noise ratios (CNR) and the average luminal diameter over the first 4 cm of the vessel were measured. Intra-observer, inter-observer and inter-scan reproducibility of coronary artery luminal diameter were determined using Pearson's correlation, Bland-Altman analysis and intraclass correlation coefficients (ICC). RESULTS: CNR, SNR and the mean length of the RCA, LAD and LCX imaged for original and repeat scans were not significantly different (all p > 0.30). There was a high degree of intra-observer, inter-observer and inter-scan agreements for RCA, LAD and LCX luminal diameter respectively on Bland-Altman and ICC analysis (ICC's for RCA: 0.98. 0.98 and 0.86; LAD: 0.89, 0.89 and 0.63; LCX: 0.95, 0.94 and 0.79). CONCLUSION: In a 2-center study, we demonstrate that free-breathing 3D SSFP CMRA can visualize long continuous segments of coronary vessels with highly reproducible measurements of luminal diameter.

Scheduled service versus personal transportation: the role of distance

This paper analyzes both theoretically and empirically the relationship between distance and frequency of scheduled transportation services. We study the interaction between a monopoly firm providing high-speed scheduled service and personal trans- portation (i.e., car). Most interestingly, the carrier chooses to increase frequency of service on longer routes when competing with personal transportation because provid- ing a higher frequency (at extra cost) it can also charge higher fares that can boost its profits. However, when driving is not a relevant option, frequency of service de- creases for longer flights consistently with prior studies. An empirical application of our analysis to the European airline industry con?rms the predictions of our theoretical model.

Outcome and Experience from the Swiss Mammography Screening Pilot Programmes

BACKGROUND:The Swiss breast cancer screening pilot programme was conducted in 3 districts of theFrench-speaking canton of Vaud (ca. 300,000 resident women) between October 1993 and January 1999.Women aged 50 to 69 were invited by mail every 2 years for a free of charge screening mammography (doubleview, multiple reading). This first ever-organised cancer screening programme in Switzerland showed thefeasibility and acceptability of this kind of public health intervention in the liberal Swiss healthcare system, whichwas the main objective of the pilot programme. This mammographic screening programme was extended to thewhole canton in 1999, and contributed to the implementation of similar programmes in 2 neighbouring cantons. OBJECTIVE:To appraise the use, the quality and the effectiveness of the Swiss screening pilot programme. METHODS:About 15,000 women (aged 50-69) were enrolled. Logistic regression analyses were performedseparately to identify determinants of initial and subsequent attendance. Standard indicators of quality,effectiveness and impact of the programme were assessed and compared with European recommendations. Tothis intent, linkage with data from the Vaud Cancer Registry was performed. RESULTS:About half the target population was screened at least once during the pilot trial. Participation washigher among Swiss than foreigners, among widowed or married women than among single, divorced or separatedones. Attendance also increased with age and decreasing distance between residence and the dedicatedscreening centre. Apart from Swiss citizenship, socio-demographic factors were not associated with reattendance.Intensity of prior recruitment, outcome of previous screening test (positive vs. negative) and indicators of women'shealth behaviour (time of last mammography prior to initial screen, smoking status) were the main determinants ofreattendance. Programme performance and quality indicators were, overall, in line with European Guidelines. Theywere overall more favourable among 60-69 than 50-59 year-olds and improved over time. CONCLUSION:The objectives of the pilot programme were met. Even if participation should increase in order toreach European standards, performance indicators overall met quality requirements. Ways to improve screeninguse, quality and effectiveness were devised and taken into account for the generalisation of the programme.