Search results for "Remain"

CONSTRUCTION OF METASTABLE STATES IN QUANTUM ELECTRODYNAMICS

2004

In this paper, we construct metastable states of atoms interacting with the quantized radiation field. These states emerge from the excited bound states of the non-interacting system. We prove that these states obey an exponential time-decay law. In detail, we show that their decay is given by an exponential function in time, predicted by Fermi's Golden Rule, plus a small remainder term. The latter is proportional to the (4+β)th power of the coupling constant and decays algebraically in time. As a result, though it is small, it dominates the decay for large times. A central point of the paper is that our remainder term is significantly smaller than the one previously obtained in [1] and as…

Does one need theO(ε)- andO(ε2)-terms of one-loop amplitudes in a next-to-next-to-leading order calculation ?

2011

This article discusses the occurrence of one-loop amplitudes within a next-to-next-to-leading-order calculation. In a next-to-next-to-leading-order calculation, the one-loop amplitude enters squared and one would therefore naively expect that the $\mathcal{O}(\ensuremath{\epsilon})$- and $\mathcal{O}({\ensuremath{\epsilon}}^{2})$-terms of the one-loop amplitudes are required. I show that the calculation of these terms can be avoided if a method is known, which computes the $\mathcal{O}({\ensuremath{\epsilon}}^{0})$-terms of the finite remainder function of the two-loop amplitude.

Complementary mobile-phase optimisation for resolution enhancement in high-performance liquid chromatography.

2000

An optimisation methodology in high-performance liquid chromatography (HPLC) is presented for the selection of two or more mobile phases having an optimal complementary resolution. The complementary mobile phases (CMPs) are selected in such a way that each one resolves optimally only some compounds in the mixture, while the remainder, resolved by the other mobile phase(s), can overlap among them. The methodology is based on the computation of a peak purity measurement for each solute, using an asymmetrical peak model for peak simulation. Two global resolution criteria (product of elementary resolutions and worst elementary resolution) and two methods for solving the problem (a systematic ex…

Chiral condensates from tau decay: a critical reappraisal

2006

The saturation of QCD chiral sum rules is reanalyzed in view of the new and complete analysis of the ALEPH experimental data on the difference between vector and axial-vector correlators (V-A). Ordinary finite energy sum rules (FESR) exhibit poor saturation up to energies below the tau-lepton mass. A remarkable improvement is achieved by introducing pinched, as well as minimizing polynomial integral kernels. Both methods are used to determine the dimension d=6 and d=8 vacuum condensates in the Operator Product Expansion, with the results: {O}_{6}=-(0.00226 \pm 0.00055) GeV^6, and O_8=-(0.0053 \pm 0.0033) GeV^8 from pinched FESR, and compatible values from the minimizing polynomial FESR. Som…

Finite energy chiral sum rules in QCD

2003

The saturation of QCD chiral sum rules of the Weinberg-type is analyzed using ALEPH and OPAL experimental data on the difference between vector and axial-vector correlators (V-A). The sum rules exhibit poor saturation up to current energies below the tau-lepton mass. A remarkable improvement is achieved by introducing integral kernels that vanish at the upper limit of integration. The method is used to determine the value of the finite remainder of the (V-A) correlator, and its first derivative, at zero momentum: $\bar{\Pi}(0) = - 4 \bar{L}_{10} = 0.0257 \pm 0.0003 ,$ and $\bar{\Pi}^{\prime}(0) = 0.065 \pm 0.007 {GeV}^{-2}$. The dimension $d=6$ and $d=8$ vacuum condensates in the Operator P…

Integrated Production and Predictive Maintenance Planning based on Prognostic Information

2019

International audience; This paper address the problem of scheduling production and maintenance operation in predictive maintenance context. It proposes a contribution in the decision making phase of the prognostic and health management framework. Theprognostics and decision processes are merged and an ant colony optimization approach for finding the sequence of decisions that optimizes the benefits of a production system is developed. A case study on a single machine composed of several components where machine can have several usage profiles. The results show thatour approach surpasses classical condition based maintenance policy.

AN UNUSUAL CASE OF COMMINGLED HUMAN REMAINS FROM ISOLA DELLE FEMMINE (PALERMO, ITALY)

2009

DIO SALVI IL RESTAURO. L’apporto inglese alla cultura della conservazione dei monumenti

2020

Sebbene già riuscissimo a percepire quanto rilevante fosse l’apporto inglese per aver contribuito alla definizione del restauro modernamente inteso, sino ad oggi mancavano ancora sia una chiara visione d’insieme delle articolate vicende connesse all'affermazione dei princìpi conservativi, sia una più approfondita conoscenza delle fonti documentarie, necessarie al fine di tracciare i profili culturali dei protagonisti e scandagliarne i contributi teorici. La ricostruzione delle vicende è sviluppata entro margini temporali estesi all'incirca per tre secoli, dalla fine del Seicento al principio del Nove-cento, e strutturata attraverso la traduzione e lo studio di testi perlopiù mai circolati i…

2003

In this article we apply the S(M, g)–calculus of L. Hormander and, in particular, results concerning the spectral invariance of the algebra of operators of order zero in ℒ(L2(ℝn)) to study generators of Feller semigroups. The core of the article is the proof of the invertibility of λ Id + P for a strongly elliptic operator P in Ψ(M, g) and suitable weight functions M and metrics g. The proof depends highly on precise estimates of the remainder term in asymptotic expansions of the product symbol in Weyl and Kohn–Nirenberg quantization. Due to the Hille–Yosida–Ray theorem and a theorem of Courrege, the result concerning the invertibility of λ Id + P is applicable to obtain sufficient conditio…

The parasitoid species complex associated with sexual and parthenogenetic Naryciinae (Lepidoptera: Psychidae): Integrating ecological and molecular a…

2011

This study describes the parasitoid species complex associated with seven closely related species of sexual (Siederia rupi- collella, S. listerella, Dahlica lazuri, D. charlottae and D. lichenella) and parthenogenetic (Dahlica fennicella and D. triquetrella) Naryciinae (Lepidoptera: Psychidae) in Central Finland. A thorough ecological analysis of all the species of parasitoids recorded was combined with analyses of molecular data. Mitochondrial and nuclear DNA data were obtained from all the species in order to (1) detect cryptic species associated with host specialization, (2) assign undescribed males to females, and (3) verify the morphological identification of closely related species. A…