Estudio del contenido en triglicéridos de aceites monovarietales elaborados a partir de aceitunas producidas en la región extremeña

Main triglyceride composition from 315 samples of virgin olive oils originating in olive of the varieties Extremeñas: Carrasqueña, Cacereña, Cornezuelo, Corniche, Morisca, Picual and Verdial de Badajoz, were evaluated. The identification of 16 peaks has been carried out, grouped according to the ECN, which correspond to the different triglyceride found. Variability has been found in the content of triglyceride depending on the variety and state of ripening. The stepwise discriminant analysis explains more than the 88 % of the variance with the two first functions. Using this model, 83´5 % of the 273 observations were correctly classified. The validated method with 42 samples reduces the classification at 69 %.Se ha analizado el perfil de triglicéridos en 315 muestras de aceite de oliva virgen procedente de aceitunas de las variedades Extremeñas: Carrasqueña, Cacereña, Cornezuelo, Corniche, Morisca, Picual y Verdial de Badajoz. Se ha realizado la identificación de 16 picos, agrupados según los ECN, que corresponden a los diferentes triglicéridos encontrados. Se ha encontrado variabilidad en el contenido de triglicéridos atendiendo a la variedad y estado de maduración. El análisis discriminante paso a paso ha permitido explicar más del 88 % de la varianza con las dos primeras funciones. El modelo permite clasificar en función de la variedad el 83´5 % de las 273 muestras analizadas. El método validado con otras 42 muestras reduce la clasificación al 69 %

Estudio del contenido en ácidos grasos de aceites monovarietales elaborados a partir de aceitunas producidas en la región extremeña

Fatty acid composition of 483 samples of virgin olive oils from olives of the Extremadura varieties: Carrasqueña, Cacereña, Cornezuelo, Corniche, Morisca, Picual and Verdial de Badajoz, were analysed. After the quantitative analysis of main fatty acids, the variability according to the variety and state of ripening was studied. The discriminant analysis, taking the variety like grouping variable, explains more than 79,7 % of the variance with the two first functions and the model allows correctly classified 87,7 % of the 399 observations. The method, validated with the rest of analysed samples, improves the classification up to 89,3 %.Se ha analizado el contenido de ácidos grasos en 483 muestras de aceite de oliva virgen procedente de aceitunas de las variedades Extremeñas: Carrasqueña, Cacereña, Cornezuelo, Corniche, Morisca, Picual y Verdial de Badajoz. Cuantificados los ácidos grasos mayoritarios, se ha estudiado la variabilidad en el contenido de éstos y sus índices, atendiendo a la variedad y estado de maduración. El análisis discriminante, realizado tomando como variable de agrupación la variedad, ha permitido explicar más del 79,7 % de la varianza con las dos primeras funciones y el modelo permite clasificar correctamente el 87,5 % de las 399 muestras utilizadas. El método validado con el resto de muestras analizadas, mejora la clasificación hasta el 89,3 %

Multiplicity dependence of jet-like two-particle correlations in p-Pb collisions at sNN\sqrt{s_{NN}} = 5.02 TeV

Two-particle angular correlations between unidentified charged trigger and associated particles are measured by the ALICE detector in p-Pb collisions at a nucleon-nucleon centre-of-mass energy of 5.02 TeV. The transverse-momentum range 0.7 $< p_{\rm{T}, assoc} < p_{\rm{T}, trig} <$ 5.0 GeV/$c$ is examined, to include correlations induced by jets originating from low momen\-tum-transfer scatterings (minijets). The correlations expressed as associated yield per trigger particle are obtained in the pseudorapidity range $|\eta|<0.9$. The near-side long-range pseudorapidity correlations observed in high-multiplicity p-Pb collisions are subtracted from both near-side short-range and away-side correlations in order to remove the non-jet-like components. The yields in the jet-like peaks are found to be invariant with event multiplicity with the exception of events with low multiplicity. This invariance is consistent with the particles being produced via the incoherent fragmentation of multiple parton--parton scatterings, while the yield related to the previously observed ridge structures is not jet-related. The number of uncorrelated sources of particle production is found to increase linearly with multiplicity, suggesting no saturation of the number of multi-parton interactions even in the highest multiplicity p-Pb collisions. Further, the number scales in the intermediate multiplicity region with the number of binary nucleon-nucleon collisions estimated with a Glauber Monte-Carlo simulation.Comment: 23 pages, 6 captioned figures, 1 table, authors from page 17, published version, figures at http://aliceinfo.cern.ch/ArtSubmission/node/161

Multi-particle azimuthal correlations in p-Pb and Pb-Pb collisions at the CERN Large Hadron Collider

Measurements of multi-particle azimuthal correlations (cumulants) for charged particles in p-Pb and Pb-Pb collisions are presented. They help address the question of whether there is evidence for global, flow-like, azimuthal correlations in the p-Pb system. Comparisons are made to measurements from the larger Pb-Pb system, where such evidence is established. In particular, the second harmonic two-particle cumulants are found to decrease with multiplicity, characteristic of a dominance of few-particle correlations in p-Pb collisions. However, when a $|\Delta \eta|$ gap is placed to suppress such correlations, the two-particle cumulants begin to rise at high-multiplicity, indicating the presence of global azimuthal correlations. The Pb-Pb values are higher than the p-Pb values at similar multiplicities. In both systems, the second harmonic four-particle cumulants exhibit a transition from positive to negative values when the multiplicity increases. The negative values allow for a measurement of $v_{2}\{4\}$ to be made, which is found to be higher in Pb-Pb collisions at similar multiplicities. The second harmonic six-particle cumulants are also found to be higher in Pb-Pb collisions. In Pb-Pb collisions, we generally find $v_{2}\{4\} \simeq v_{2}\{6\}\neq 0$ which is indicative of a Bessel-Gaussian function for the $v_{2}$ distribution. For very high-multiplicity Pb-Pb collisions, we observe that the four- and six-particle cumulants become consistent with 0. Finally, third harmonic two-particle cumulants in p-Pb and Pb-Pb are measured. These are found to be similar for overlapping multiplicities, when a $|\Delta\eta| > 1.4$ gap is placed.Comment: 25 pages, 11 captioned figures, 3 tables, authors from page 20, published version, figures at http://aliceinfo.cern.ch/ArtSubmission/node/87

Charge separation relative to the reaction plane in Pb-Pb collisions at sNN=2.76\sqrt{s_{\rm NN}}= 2.76 TeV

Measurements of charge dependent azimuthal correlations with the ALICE detector at the LHC are reported for Pb-Pb collisions at $\sqrt{s_{\rm NN}} = 2.76$ TeV. Two- and three-particle charge-dependent azimuthal correlations in the pseudo-rapidity range $|\eta| < 0.8$ are presented as a function of the collision centrality, particle separation in pseudo-rapidity, and transverse momentum. A clear signal compatible with a charge-dependent separation relative to the reaction plane is observed, which shows little or no collision energy dependence when compared to measurements at RHIC energies. This provides a new insight for understanding the nature of the charge dependent azimuthal correlations observed at RHIC and LHC energies.Comment: 12 pages, 3 captioned figures, authors from page 2 to 6, published version, figures at http://aliceinfo.cern.ch/ArtSubmission/node/286

A note on comonotonicity and positivity of the control components of decoupled quadratic FBSDE

In this small note we are concerned with the solution of Forward-Backward Stochastic Differential Equations (FBSDE) with drivers that grow quadratically in the control component (quadratic growth FBSDE or qgFBSDE). The main theorem is a comparison result that allows comparing componentwise the signs of the control processes of two different qgFBSDE. As a byproduct one obtains conditions that allow establishing the positivity of the control process.Comment: accepted for publicatio