Jacobian Nullwerte, Periods and Symmetric Equations for Hyperelliptic Curves

We propose a solution to the hyperelliptic Schottky problem, based on the use of Jacobian Nullwerte and symmetric models for hyperelliptic curves. Both ingredients are interesting on its own, since the first provide period matrices which can be geometrically described, and the second have remarkable arithmetic properties.Comment: To appear in "Annales de l'Institut Fourier

Thetanullwerte: from periods to good equations

We will show the utility of the classical Jacobi Thetanullwerte for the description of certain period lattices of elliptic curves, providing equations with good arithmetical properties. These equations will be the starting point for the construction of families of elliptic curves with everywhere good reduction

On the positional and orientational order of water and methanol around indole: a study on the microscopic origin of solubility

Although they are both highly polar liquids, there are a number of compounds, such as many pharmaceuticals, which show vastly different solubilities in methanol compared with water. From theories of the hydrophobic effect, it might be predicted that this enhanced solubility is due to association between drugs and the less polar -CH3 groups on methanol. In this work, detailed analysis on the atomic structural interactions between water, methanol and the small molecule indole – which is a precursor to many drugs and is sparingly soluble in water yet highly soluble in methanol – reveal that indole preferentially interacts with both water and methanol via electrostatic interactions rather than with direction interactions to the –CH3 groups. The presence of methanol hydrogen bonds with p electrons of the benzene ring of indole can explain the increase in solubility of indole in methanol relative to water. In addition, the excess entropy calculations performed here suggest that this solvation is enthalpically rather than entropically driven.Postprint (author's final draft

Validation of the CAchexia SCOre (CASCO). Staging cancer patients: The use of miniCASCO as a simplified tool

The CAchexia SCOre (CASCO) was described as a tool for the staging of cachectic cancer patients. The aim of this study is to show the metric properties of CASCO in order to classify cachectic cancer patients into three different groups, which are associated with a numerical scoring. The final aim was to clinically validate CASCO for its use in the classification of cachectic cancer patients in clinical practice. We carried out a case -control study that enrolled prospectively 186 cancer patients and 95 age-matched controls. The score includes five components: (1) body weight loss and composition, (2) inflammation/metabolic disturbances/immunosuppression, (3) physical performance, (4) anorexia, and (5) quality of life. The present study provides clinical validation for the use of the score. In order to show the metric properties of CASCO, three different groups of cachectic cancer patients were established according to the results obtained with the statistical approach used: mild cachexia (15 â\u89¤ Ã\u97 â\u89¤ 28), moderate cachexia (29 â\u89¤ Ã\u97 â\u89¤ 46), and severe cachexia (47 â\u89¤ Ã\u97 â\u89¤ 100). In addition, a simplified version of CASCO, MiniCASCO (MCASCO), was also presented and it contributes as a valid and easy-to-use tool for cachexia staging. Significant statistically correlations were found between CASCO and other validated indexes such as Eastern Cooperative Oncology Group (ECOG) and the subjective diagnosis of cachexia by specialized oncologists. A very significant estimated correlation between CASCO and MCASCO was found that suggests that MCASCO might constitute an easy and valid tool for the staging of the cachectic cancer patients. CASCO and MCASCO provide a new tool for the quantitative staging of cachectic cancer patients with a clear advantage over previous classifications

La ciudad y el foro romano de «Iulia Libica» (Llívia, Cerdanya)

The great strategic and geopolitic value of the Roman city of Iulia Libica was the fact that the urbs was placed in the most important passage of the Oriental Pyrenees, more than 1,220 m high, and near the Segre river, in Hispania Citerioris. Architecturally we can speak about the decorative programm of the forum and its temple. Dating from Augustean or Tiberian fundation, its most splendorous period was along the I-IIth centuries A.D.El gran valor estratégico y geopolítico de la ciudad romana de Iulia Libica era que estaba enclavada en el principal paso de los Pirineos Orientales, a más de 1220 m de altura y junto al río Segre, en el límite norte de la Hispania Citerior. Arquitectónicamente destaca el programa decorativo del foro y su templo. De fundación augustea o tiberiana, su época de esplendor hay que situarla durante los siglos I-II d. C

Assessing probabilistic reasoning in verbal-numerical and graphical-pictorial formats: An evaluation of the psychometric properties of an instrument

Research on the graphical facilitation of probabilistic reasoning has been characterised by the effort expended to identify valid assessment tools. The authors developed an assessment instrument to compare reasoning performances when problems were presented in verbal-numerical and graphical-pictorial formats. A sample of undergraduate psychology students (n=676) who had not developed statistical skills, solved problems requiring probabilistic reasoning. They attended universities in Spain (n=127; f=71.7%) and Italy (n=549; f=72.9%). In Italy 173 undergraduates solved these problems under time pressure. The remaining students solved the problems without time limits. Classical Test Theory (CTT) and Item Response Theory (IRT) were applied to assess the effect of two formats and to evaluate criterion and discriminant validity. The instrument showed acceptable psychometric properties, providing preliminary evidence of validity

Problemes orals en un grup de nens amb leucèmia limfoblàstica aguda

La leucèmia limfoblàstica aguda (LLA) és principalment una malaltia infantil, les manifestacions bucals de la qual són molt importants per la seva alta incidència i també perquè poden constituir la primera localització ostensible de la malaltia. S'ha dut a terme un estudi sobre un grup d'onze pacients del Servei d'Hematooncologia de l'Hospital Universitari Materno-Infantil Vall d'Hebron de Barcelona, afectats per LLA, realitzant un examen oral en el qual es presta atenció especial a les lesions relacionades amb la LLA o amb el tractament que rebien els pacients. L'edat deis pacients oscil·la entre els 2 i els 14 anys i l'estat de la malaltia va des de LLA recentment diagnosticades i en tractament de quimioteràpia d'inducció fins a pacients no hospitalitzats en els quals ja s'havia suprimit el tractament. Fer notar la inexistència de casos amb simptomatologia oral molt florida degut a les extenses cures que reben els pacients al Servei d'Hematooncologia i a l'excel·lent programa preventiu establert per a ells, que inclou la profilaxi antifúngica i de mucositis. Es destaquen d'entre els signes la pal·lidesa oral, úlceres i lesions hemàtiques tipus equimosi i petèquies

Oscillatory motions and parabolic manifolds at infinity in the planar circular restricted three body problem

Consider the Restricted Planar Circular 3 Body Problem. If the trajectory of the body of zero mass is defined for all time, it can have the following four types of asymptotic motion when time tends to infinity forward or backward in time: bounded, parabolic (goes to infinity with asymptotic zero velocity), hyperbolic (goes to infinity with asymptotic positive velocity) or oscillatory (the position of the body is unbounded but goes back to a compact region of phase space for a sequence of arbitrarily large times). We consider realistic mass ratio for the Sun-Jupiter pair and Jacobi constant which allows the massless body to cross Jupiter's orbit. This is a non-perturbative regime. We prove the existence of all possible combinations of past and future final motions. In particular, we obtain the existence of oscillatory motions. All the constructed trajectories cross the orbit of Jupiter but avoid close encounters with it. The proof relies on analyzing the stable and unstable invariant manifolds of infinity and their intersections. We construct orbits shadowing these invariant manifolds by the method of correctly aligned windows. The proof is computer assisted.M. C. has been partially supported by the NCN grant 2018/29/B/ST1/00109 2M. G. has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 757802). M. G. is supported by the Catalan Institution for Research and Advanced Studies via an ICREA Academia Prize 2019. P. M. has been partially supported by the Spanish MINECO-FEDER Grant PGC2018-100928-B-I00 and the Catalan grant 2017SGR1049 T. S. has been also partly supported by the Spanish MINECO-FEDER Grant PGC2018-098676-B100 (AEI/FEDER/UE), the Catalan grant 2017SGR1049 and by the Catalan Institution for Research and Advanced Studies via an ICREA Academia Prize 2019. P. Z. has been partially supported by the NCN grant 2019/35/B/ST1/00655Peer ReviewedPostprint (author's final draft