Libellus de b. Maria.

Versus Petri Comestoris in laudem s. Marie (91). - Nicolaus Tornac. super Missus est (91). - De s. Johanne evang. (91 v°). - Miracula b. Marie (106). - Exempla Jacobi de Vitriaco (173). - Oratio metrica ad Jesum (246). - Libellus consciencie (248). -

Experimental design on the simplex

Optimum experimental designs depend on the design criterion, the model andthe design region. The talk will consider the design of experiments for regressionmodels in which there is a single response with the explanatory variables lying ina simplex. One example is experiments on various compositions of glass such asthose considered by Martin, Bursnall, and Stillman (2001).Because of the highly symmetric nature of the simplex, the class of models thatare of interest, typically Scheff´e polynomials (Scheff´e 1958) are rather differentfrom those of standard regression analysis. The optimum designs are also ratherdifferent, inheriting a high degree of symmetry from the models.In the talk I will hope to discuss a variety of modes for such experiments. ThenI will discuss constrained mixture experiments, when not all the simplex is availablefor experimentation. Other important aspects include mixture experimentswith extra non-mixture factors and the blocking of mixture experiments.Much of the material is in Chapter 16 of Atkinson, Donev, and Tobias (2007).If time and my research allows, I would hope to finish with a few comments ondesign when the responses, rather than the explanatory variables, lie in a simplex.ReferencesAtkinson, A. C., A. N. Donev, and R. D. Tobias (2007). Optimum ExperimentalDesigns, with SAS. Oxford: Oxford University Press.Martin, R. J., M. C. Bursnall, and E. C. Stillman (2001). Further results onoptimal and efficient designs for constrained mixture experiments. In A. C.Atkinson, B. Bogacka, and A. Zhigljavsky (Eds.), Optimal Design 2000,pp. 225–239. Dordrecht: Kluwer.Scheff´e, H. (1958). Experiments with mixtures. Journal of the Royal StatisticalSociety, Ser. B 20, 344–360.1

The size and burden of mental disorders and other disorders of the brain in Europe 2010.

Aims: To provide 12-month prevalence and disability burden estimates of a broad range of mental and neurological disorders in the European Union (EU) and to compare these findings to previous estimates. Referring to our previous 2005 review, improved up-to-date data for the enlarged EU on a broader range of disorders than previously covered are needed for basic, clinical and public health research and policy decisions and to inform about the estimated number of persons affected in the EU. Method: Stepwise multi-method approach, consisting of systematic literature reviews, reanalyses of existing data sets, national surveys and expert consultations. Studies and data from all member states of the European Union (EU-27) plus Switzerland, Iceland and Norway were included. Supplementary information about neurological disorders is provided, although methodological constraints prohibited the derivation of overall prevalence estimates for mental and neurological disorders. Disease burden was measured by disability adjusted life years (DALY). Results: Prevalence: It is estimated that each year 38.2% of the EU population suffers from a mental disorder. Adjusted for age and comorbidity, this corresponds to 164.8 million persons affected. Compared to 2005 (27.4%) this higher estimate is entirely due to the inclusion of 14 new disorders also covering childhood/adolescence as well as the elderly. The estimated higher number of persons affected (2011: 165 m vs. 2005: 82 m) is due to coverage of childhood and old age populations, new disorders and of new EU membership states. The most frequent disorders are anxiety disorders (14.0%), insomnia (7.0%), major depression (6.9%), somatoform (6.3%), alcohol and drug dependence (>4%), ADHD (5%) in the young, and dementia (1-30%, depending on age). Except for substance use disorders and mental retardation, there were no substantial cultural or country variations. Although many sources, including national health insurance programs, reveal increases in sick leave, early retirement and treatment rates due to mental disorders, rates in the community have not increased with a few exceptions (i.e. dementia). There were also no consistent indications of improvements with regard to low treatment rates, delayed treatment provision and grossly inadequate treatment. Disability: Disorders of the brain and mental disorders in particular, contribute 26.6% of the total all cause burden, thus a greater proportion as compared to other regions of the world. The rank order of the most disabling diseases differs markedly by gender and age group; overall, the four most disabling single conditions were: depression, dementias, alcohol use disorders and stroke. Conclusion: In every year over a third of the total EU population suffers from mental disorders. The true size of "disorders of the brain" including neurological disorders is even considerably larger. Disorders of the brain are the largest contributor to the all cause morbidity burden as measured by DALY in the EU. No indications for increasing overall rates of mental disorders were found nor of improved care and treatment since 2005; less than one third of all cases receive any treatment, suggesting a considerable level of unmet needs. We conclude that the true size and burden of disorders of the brain in the EU was significantly underestimated in the past.Concerted priority action is needed at all levels, including substantially increased funding for basic, clinical and public health research in order to identify better strategies for improved prevention and treatment for isorders of the brain as the core health challenge of the 21st century. (C) 2011 Published by Elsevier B.V.

Computing congruences of modular forms and Galois representations modulo prime powers

This article starts a computational study of congruences of modular forms and modular Galoisrepresentations modulo prime powers. Algorithms are described that compute the maximum integermodulo which two monic coprime integral polynomials have a root in common in a sensethat is defined. These techniques are applied to the study of congruences of modular forms andmodular Galois representations modulo prime powers. Finally, some computational results withimplications on the (non-)liftability of modular forms modulo prime powers and possible generalisationsof level raising are presented.

On the robustness of least-squares Monte Carlo (LSM) for pricing American derivatives

This paper analyses the robustness of Least-Squares Monte Carlo, a techniquerecently proposed by Longstaff and Schwartz (2001) for pricing Americanoptions. This method is based on least-squares regressions in which theexplanatory variables are certain polynomial functions. We analyze theimpact of different basis functions on option prices. Numerical resultsfor American put options provide evidence that a) this approach is veryrobust to the choice of different alternative polynomials and b) few basisfunctions are required. However, these conclusions are not reached whenanalyzing more complex derivatives.

Un témoin latin du Protévangile de Jacques: l'homélie Postulatis filiae Ierusalem en l'honneur de sainte Anne (BHL 483-485)

L'article s'inscrit dans une recherche sur la survie du Protévangile de Jacques en latin. Il contient l'édition critique et la traduction d'une homélie pour la fête de sainte Anne, qui combine le début du Protévangile (ch. 1-4) et le début du De Nativitate Mariae (ch. 1-5 ). L'homélie se compose de trois parties. (1) un préambule (<pilcrow> 1-6) ; (2) un récit sur Anne et Joachim, qui associe les deux sources précitées (<pilcrow> 7-29), (3) une péroraison (<pilcrow> 30-34 ). Les manuscrits l'ont conservée sous des formes plus ou moins complètes et remaniées. Certains la transmettent comme légende d'Anne au sein de la Legenda Aurea de Jacques de Voragine. La plupart son t des recueils liturgiques, contenant l'office et les lectures pour la fête d'Anne. Dans un cas, l'homélie a été transformée et fournit des leçons pour la fête de la Conception de la Vierge. L'auteur de l'homélie s'adresse à une communauté de moniales qui lui ont demandé de traduire en latin un « petit livre grec - qui n'est autre que le Protévangile. Le texte a dû être composé à Chartres ou dans les environs immédiats de cette ville, durant les premières années du XIIIe siècle Son origine est liée à l'institution dans l'église de Chartres d'une fête en l'honneur de sainte Anne. Cette innovation liturgique s'explique par la donation d'une relique- la tête de la sainte - acquise par Louis de Blois et provenant du butin enlevé à Constantinople lors de la conquête de la ville par les Latins (1204).

1.° Codicis Theodosiani libri sexdecim ; hîc solae occurrunt interpretationes : praemittitur opusculum quod inscribitur ; Judicia Dei. — 2.° Theodosii Junioris, Valentiniani III. Marciani et Majoriani novellae constitutiones. — 3.° Gaii Institutionum epitome. — 4.° Julii Pauli sententiarum libri quinque, cum interpretationibus. — 5.° Excerpta e Codice Gregoriano, Hermogeniano et Papianeo. — 6.° Leges divi Anthemii. — 7.° Alia excerpta ex Codice Gregoriano

Colbertinus, antea Jacobi Augusti Thuani

Macaulay style formulas for sparse resultants

We present formulas for computing the resultant of sparse polyno- mials as a quotient of two determinants, the denominator being a minor of the numerator. These formulas extend the original formulation given by Macaulay for homogeneous polynomials.

A numerical characterization of hypersurface singularities

In this note we give a numerical characterization of hypersurface singularities in terms of the normalized Hilbert-Samuel coefficients, and we interpret this result from the point of view of rigid polynomials.

Non-constant discounting in finite horizon: The free terminal time case

This paper derives the HJB (Hamilton-Jacobi-Bellman) equation for sophisticated agents in a finite horizon dynamic optimization problem with non-constant discounting in a continuous setting, by using a dynamic programming approach. A simple example is used in order to illustrate the applicability of this HJB equation, by suggesting a method for constructing the subgame perfect equilibrium solution to the problem.Conditions for the observational equivalence with an associated problem with constantdiscounting are analyzed. Special attention is paid to the case of free terminal time. Strotz¿s model (an eating cake problem of a nonrenewable resource with non-constant discounting) is revisited.

Classical predictive electrodynamics of two charges with radiation: Energy and 3. momentum balance and scattering crossections-II

We deal with a classical predictive mechanical system of two spinless charges where radiation is considered and there are no external fields. The terms (2,2)Paa of the expansion in the charges of the HamiltonJacobi momenta are calculated. Using these, together with known previous results, we can obtain the paa up to the fourth order. Then we have calculated the radiated energy and the 3-momentum in a scattering process as functions of the impact parameter and the incident energy for the former and 3-momentum for the latter. Scattering cross-sections are also calculated. Good agreement with well known results, including those of quantum electrodynamics, has been found.

Adolescentes, drogas e AIDS: avaliação de um programa de prevenção escolar

O objetivo deste estudo foi o de analisar um projeto de prevenção de drogas e Aids desenvolvido nas escolas públicas estaduais de São Paulo. A análise foi desenvolvida considerando-se a diversidade e a complexidade do uso contemporâneo de drogas e o papel da escola, como uma agência de socialização, ambos historicamente determinados. As concepções analisadas são concepções sobre drogas; a relação entre drogas e Aids - como um dos eventos vinculados ao processo saúde-doença; e concepções e objetivos da prevenção. A análise é baseada em documentos e nos depoimentos dos supervisores do projeto, professores treinados pelo projeto e estudantes que participaram das atividades. O estudo encaminha conclusões que implicam o ordenamento das políticas públicas de prevenção relacionadas a droga e Aids.