On rigid analytic uniformizations of Jacobians of Shimura curves

The main goal of this article is to give an explicit rigid analytic uniformization of the maximal toric quotient of the Jacobian of a Shimura curve over Q at a prime dividing exactly the level. This result can be viewed as complementary to the classical theorem of Cerednik and Drinfeld which provides rigid analytic uniformizations at primes dividing the discriminant. As a corollary, we offer a proof of a conjecture formulated by M. Greenberg in hispaper on Stark-Heegner points and quaternionic Shimura curves, thus making Greenberg's construction of local points on elliptic curves over Q unconditional.

Equations of hyperelliptic Shimura curves

We describe an algorithm that computes explicit models of hyperelliptic Shimura curves attached to an indefinite quaternion algebra over Q and Atkin-Lehner quotients of them. It exploits Cerednik-Drinfeld’s nonarchimedean uniformisation of Shimura curves, a formula of Gross and Zagier for the endomorphism ring of Heegner points over Artinian rings and the connection between Ribet’s bimodules and the specialization of Heegner points, as introduced in [21]. As an application, we provide a list of equations of Shimura curves and quotients of them obtained by our algorithm that had been conjectured by Kurihara.

A new automated method versus continuous positive airway pressure method for measuring pressure-volume curves in patients with acute lung injury

Objective: To compare pressure–volume (P–V) curves obtained with the Galileo ventilator with those obtained with the CPAP method in patients with ALI or ARDS receiving mechanical ventilation. P–V curves were fitted to a sigmoidal equation with a mean R2 of 0.994 ± 0.003. Lower (LIP) and upper inflection (UIP), and deflation maximum curvature (PMC) points calculated from the fitted variables showed a good correlation between methods with high intraclass correlation coefficients. Bias and limits of agreement for LIP, UIP and PMC obtained with the two methods in the same patient were clinically acceptable.

Paranasal sinuses in children: size evaluation of maxillary, sphenoid, and frontal sinuses by magnetic resonance imaging and proposal of volume index percentile curves.

Our objective was to establish the age-related 3D size of maxillary, sphenoid, and frontal sinuses. A total of 179 magnetic resonance imaging (MRI) of children under 17 years (76 females, 103 males) were included and sinuses were measured in the three axes. Maxillary sinuses measured at birth (mean+/-standard deviation) 7.3+/-2.7 mm length (or antero-posterior)/4.0+/-0.9 mm height (or cranio-caudal)/2.7+/-0.8 mm width (or transverse). At 16 years old, maxillary sinus measured 38.8+/-3.5 mm/36.3+/-6.2 mm/27.5+/-4.2 mm. Sphenoid sinus pneumatization starts in the third year of life after conversion from red to fatty marrow with mean values of 5.8+/-1.4 mm/8.0+/-2.3 mm/5.8+/-1.0 mm. Pneumatization progresses gradually to reach at 16 years 23.0+/-4.5 mm/22.6+/-5.8 mm/12.8+/-3.1 mm. Frontal sinuses present a wide variation in size and most of the time are not valuable with routine head MRI techniques. They are not aerated before the age of 6 years. Frontal sinuses dimensions at 16 years were 12.8+/-5.0 mm/21.9+/-8.4 mm/24.5+/-13.3 mm. A sinus volume index (SVI) of maxillary and sphenoid sinus was computed using a simplified ellipsoid volume formula, and a table with SVI according to age with percentile variations is proposed for easy clinical application. Percentile curves of maxillary and sphenoid sinuses are presented to provide a basis for objective determination of sinus size and volume during development. These data are applicable to other techniques such as conventional X-ray and CT scan.

Statistical treatment of grain-size curves and empirical distributions: densities as compositions?

The preceding two editions of CoDaWork included talks on the possible considerationof densities as infinite compositions: Egozcue and D´ıaz-Barrero (2003) extended theEuclidean structure of the simplex to a Hilbert space structure of the set of densitieswithin a bounded interval, and van den Boogaart (2005) generalized this to the setof densities bounded by an arbitrary reference density. From the many variations ofthe Hilbert structures available, we work with three cases. For bounded variables, abasis derived from Legendre polynomials is used. For variables with a lower bound, westandardize them with respect to an exponential distribution and express their densitiesas coordinates in a basis derived from Laguerre polynomials. Finally, for unboundedvariables, a normal distribution is used as reference, and coordinates are obtained withrespect to a Hermite-polynomials-based basis.To get the coordinates, several approaches can be considered. A numerical accuracyproblem occurs if one estimates the coordinates directly by using discretized scalarproducts. Thus we propose to use a weighted linear regression approach, where all k-order polynomials are used as predictand variables and weights are proportional to thereference density. Finally, for the case of 2-order Hermite polinomials (normal reference)and 1-order Laguerre polinomials (exponential), one can also derive the coordinatesfrom their relationships to the classical mean and variance.Apart of these theoretical issues, this contribution focuses on the application of thistheory to two main problems in sedimentary geology: the comparison of several grainsize distributions, and the comparison among different rocks of the empirical distribution of a property measured on a batch of individual grains from the same rock orsediment, like their composition

Engel [coureur cycliste participant à une épreuve sur piste au vélodrome d'hiver le 15-2-20] : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 57979

Hemoglobin curves during pregnancy before and after fortification of flours with iron

Objective: To assess the level of hemoglobin-Hb during pregnancy before and after fortification of flours with iron. Method: A cross-sectional study with data from 12,119 pregnant women attended at a public prenatal from five macro regions of Brazil. The sample was divided into two groups: Before-fortification (birth before June/2004) and After-fortification (last menstruation after June/2005). Hb curves were compared with national and international references. Polynomial regression models were built, with a significance level of 5%. Results: Although the higher levels of Hb in all gestational months after-fortification, the polynomial regression did not show the fortification effect (p=0.3). Curves in the two groups were above the references in the first trimester, with following decrease and stabilization at the end of pregnancy. Conclusion: Although the fortification effect was not confirmed, the study presents variation of Hb levels during pregnancy, which is important for assistencial practice and evaluation of public policies.


Principal curves and principal oriented points

Principal curves have been defined Hastie and Stuetzle (JASA, 1989) assmooth curves passing through the middle of a multidimensional dataset. They are nonlinear generalizations of the first principalcomponent, a characterization of which is the basis for the principalcurves definition.In this paper we propose an alternative approach based on a differentproperty of principal components. Consider a point in the space wherea multivariate normal is defined and, for each hyperplane containingthat point, compute the total variance of the normal distributionconditioned to belong to that hyperplane. Choose now the hyperplaneminimizing this conditional total variance and look for thecorresponding conditional mean. The first principal component of theoriginal distribution passes by this conditional mean and it isorthogonal to that hyperplane. This property is easily generalized todata sets with nonlinear structure. Repeating the search from differentstarting points, many points analogous to conditional means are found.We call them principal oriented points. When a one-dimensional curveruns the set of these special points it is called principal curve oforiented points. Successive principal curves are recursively definedfrom a generalization of the total variance.

Occurrence of Microcerella halli (Engel) (Diptera, Sarcophagidae) in snake carrion in southeastern Brazil

The occurrence of 27 second-instar larvae of the flesh fly Microcerella halli (Engel, 1931) (Diptera, Sarcophagidae) in a carcass of a snake usually called as Urutu, Bothrops alternatus (Duméril, Bibron & Duméril, 1854) (Serpentes, Viperidae, Crotalinae) is reported. The snake was kept in captivity in a snake farm in Morungaba, São Paulo state, Brazil. Descriptions of reptile carcass colonization by insects and general biological data of this flesh fly are scarce and this necrophagic behavior is described for the first time in literature.

Comportamiento y eficiencia de la red de arrastre pelágico Engel 988/400 en el estudio de recursos pelágicos. Crucero BIC Humboldt 9803-05 de Tumbes a Tacna

Se presentan los resultados del comportamiento de la red de arrastre pelágico modelo alemán Engel 988/400 utilizada para la evaluación de los recursos pelágicos anchoveta (Engraulis ringens), sardina (Sardinops sagax sagax), jurel (Trachurus picturatus murphyi), caballa (Scomber japonicus peruanus) y samasa (Anchoa nasus) durante el Crucero Hidroacústico 9803-05 a bordo del BIC Humboldt entre Caleta La Cruz, Tumbes y Los Palos, Tacna, del 20 de marzo al 7 de mayo 1998. Se determinó la distancia entre puertas, el área de la boca de la red y el volumen de agua filtrada que tuvo la red en los arrastres efectivos de una milla náutica de distancia durante los 144 lances de comprobación, obteniéndose un buen rendimiento; se capturó un total de 39.912,14 kg, correspondiendo para anchoveta 16.838,15 kg, sardina 6.800,74 kg, jurel 1.384 kg, caballa 1.404,58 kg, samasa 8.071,8 kg y otros recursos hidrobiológicos 5.413,48 kg, con un índice de captura (CPUE) de 788,79 kg/h. Los valores de datos de comportamiento de la red como la abertura horizontal de la boca, abertura vertical, profundidad de la red y distancia entre la relinga inferior al fondo, etc., se obtuvo en forma directa por medio de una net sonda FS 900 SIMRAD, los arrastres tuvieron en promedio una duración de de 20,8 minutos con una velocidad de arrastre promedio de 3 nudos.

Comportamiento de la red de arrastre pelágica Engel 988/400 para el estudio del Krill (Euphasia superba). Verano Austral 1998. Perú Antar IX

Resultado del comportamiento de la red de arrastre pelágica Engel 988/400 utilizada para la evaluación del recurso krill (Euphausia superba) en el Estrecho de Bransfield durante el Crucero Multidisciplinario 9801 a bordo del BIC Humboldt. Se determinó el área de la boca y el volumen de aguas filtrada por la red en los 29 lances de comprobación, siendo positivos en su totalidad, obteniéndose un buen rendimiento. Se capturó un total de 11.629 kg, correspondiendo para el krill 9.522 kg y para otros recursos 2.107 kg, con un índice de captura por unidad de esfuerzo (CPUE) de 961,9 kg/h. Los valores de otros datos de comportamiento de la red como la abertura horizontal de la boca, abertura vertical, profundidad de la red, distancia entre la relinga inferior al fondo, etc., se obtuvo por medio de una netsonda FS 900 SIMRAD, los arrastres tuvieron en promedio una duración de 20,1 minutos con una velocidad de arrastre promedio de 3,0 nudos.

Prueba de un copo experimental para peces vivos en red pelágica Engel 124/1800. Crucero José Olaya Balandra 9910

Se presentan los resultados de la prueba en el mar de un copo experimental para mantener peces vivos, adaptado y acoplado a la red Engel.