Search results for "Gari"

Exponential sums related to Maass forms

2019

We estimate short exponential sums weighted by the Fourier coefficients of a Maass form. This requires working out a certain transformation formula for non-linear exponential sums, which is of independent interest. We also discuss how the results depend on the growth of the Fourier coefficients in question. As a byproduct of these considerations, we can slightly extend the range of validity of a short exponential sum estimate for holomorphic cusp forms. The short estimates allow us to reduce smoothing errors. In particular, we prove an analogue of an approximate functional equation previously proven for holomorphic cusp form coefficients. As an application of these, we remove the logarithm …

Symmetric logarithmic derivative of Fermionic Gaussian states

2018

In this article we derive a closed form expression for the symmetric logarithmic derivative of Fermionic Gaussian states. This provides a direct way of computing the quantum Fisher Information for Fermionic Gaussian states. Applications ranges from quantum Metrology with thermal states and non-equilibrium steady states with Fermionic many-body systems.

One-Loop Two and Three-Point Functions

2015

In this chapter we present a few relevant calculations of one-loop, one and two-point (scalar, vector and tensor) functions. IR and UV divergences are extensively treated. One example of IR-pole cancellation is presented. The two and three-body phase space integrals in D dimensions, needed for the calculation of IR divergent cross sections are also given. Last, the usage of the generic parametrization ( 6.27) for non-integer powers of propagators (which appear when one needs to integrate over the four-momentum, logarithmic functions that depend on the four-momentum) is shown with a simple two-loop example. With the tools given here, the reader should find straightforward to construct any hi…

Approaches to model the retention and peak profile in linear gradient reversed-phase liquid chromatography.

2012

Abstract The optimisation of the experimental conditions in gradient reversed-phase liquid chromatography requires reliable algorithms for the description of the retention and peak profile. As in isocratic elution, the linear relationship between the logarithm of the retention factor and the solvent contents is only acceptable in relatively small concentration ranges of modifier. However, more complex models may not allow an analytical integration of the general equation for gradient elution. Alternative approaches for modelling the retention in linear gradient elution are here proposed. Those based on the quadratic logarithmic model and a model proposed for normal liquid chromatography yie…

Effects on the quality and nutritional traits of wood strawberry fruits in Sicily.

2011

In Sicily, the common woodland strawberry (Fragaria vesca) is spontaneous in the Madonie Mountains (554 m a.s.l.), Nebrodi Mountains (850 m) and Mount Etna (900 m). In this region, the main clone cultivated is ‘Fragolina di Sciacca e Ribera’, named after the towns where the crop originally developed. It is a Junebearing genotype and it is characterized by very small fruits, globose-conical shape, deep red colour, very soft flesh, strong aroma and flavor. Also ever-bearing clones are cultivated in Sicily where they are cropped for many months. Solid soluble content, total titratable acidity, total antioxidant capacity, total polyphenols and anthocyanins content were quantified in berry sampl…

Evaluation of the quality and antioxidant capacity of woodland strawberry biotypes in Sicily

2013

In Sicily, the woodland strawberry grows wild in forest glades in the Madonie and Nebrodi mountains and on Mount Etna. In this region, the main cultivated clone is Fragolina di Ribera, named after the towns where the crop originally developed. The cultivated woodland strawberry is different from its wild counterparts not only in vegetative vigour and size, but also in organoleptic quality. Fragolina di Ribera has always been described with sensory analysis as one of the best Sicilian berry. This study was carried out in Sicily and compared two June-bearing Fragaria vesca: Fragolina di Ribera and Fragolina di Maletto, and an everbearing variety Regina delle Valli, in order to determine the p…

Effects of Soil Solarization With Different Plastic Films and Fumigation With Combination of 1,3-Dichloropropene and Chloropicrin on Strawberry Prote…

2012

Determination of relaxation and retardation spectrum by inverse functional filtering

2010

Abstract The article is devoted for the determination of the relaxation and retardation spectrum (RRS) from monotonic time- and frequency-domain material functions by the inverse functional filters executing discrete convolution algorithms for geometrically spaced data. It is shown that the problem of RRS determination from a wide variety of material functions leads to the three inverse filtering tasks on a logarithmic time or frequency scale with the three specific frequency responses concerning: (i) the time-domain functions, (ii) the real parts and (iii) the imaginary parts of the frequency-domain functions, and three algorithms (having the versions with even and odd number of coefficien…

Large Eddy Simulations of Rough Turbulent Channel Flows Bounded by Irregular Roughness: Advances Toward a Universal Roughness Correlation

2020

The downward shift of the mean velocity profile in the logarithmic region, known as roughness function, $$\Delta U^+$$ , is the major macroscopic effect of roughness in wall bounded flows. This speed decrease, which is strictly linked to the friction Reynolds number and the geometrical properties which define the roughness pattern such as roughness height, density, shape parameters, has been deeply investigated in the past decades. Among the geometrical parameters, the effective slope (ES) seems to be suitable to estimate the roughness function at fixed friction Reynolds number, Re $$_{\tau }$$ . In the present work, the effects of several geometrical parameters on the roughness function, i…

Environmental and genotype effects on the fruits quality and nutritional traits of wood strawberry in Sicily

2012

In Sicily, the common woodland strawberry (Fragaria vesca) is spontaneous in the Madonie Mountains (554 m a.s.l.), Nebrodi Mountains (850 m) and Mount Etna (900 m). In this region, the main clone cultivated is 'Fragolina di Sciacca e Ribera', named after the towns where the crop originally developed. It is a Junebearing genotype and it is characterized by very small fruits, globose-conical shape, deep red colour, very soft flesh, strong aroma and flavor. Also ever-bearing clones are cultivated in Sicily where they are cropped for many months. Solid soluble content, total titratable acidity, total antioxidant capacity, total polyphenols and anthocyanins content were quantified in berry sampl…