Non-energy-weighted sum rule analysis of one nucleon transfer data on 41Ca, 43Ca, 45Se, 49Ti and 51V and the validity of the shell model

Spin-dependent sum rules for spectroscopic factors have been fitted to experimental data for the transfer of f_{$\text{7}\text{2}$} nucleons. The fits give the error in absolute normalizations in terms of the percentage error, σ, in relative spectroscopic factors, and evidence is presented that standard distorted wave Born approximation analyses of light-ion induced reactions give σ < 10%. The sum rule analyses then imply f_{$\text{7}\text{2}$} occupancies m agreement with simple shell-model expectations to an accuracy of about 10%. The f_{$\text{7}\text{2}$} occupancy deduced for ⁵¹V is completely inconsistent with the results of a Hartree-Fock-Bogolyubov calculation.     

Blind separation of impulsive noise from corrupted audio signal

The authors present a new method for separating the impulsive noise from a corrupted audio signal. It is shown that if the audio signal is assumed to be Gaussian distributed, the third-order cumulants of the impulsive noise can be separated, based upon the corrupted audio signal. The impulsive noise can then be reconstructed via the relationship between the bispectrum and the Fourier spectrum. Finally, the audio signal is restored by simply subtracting the reconstructed impulsive noise from the signal     

Facets and algorithms for capacitated lot sizing

The dynamic economic lot sizing model, which lies at the core of numerous production planning applications, is one of the most highly studied models in all of operations research. And yet, capacitated multi-item versions of this problem remain computationally elusive. We study the polyhedral structure of an integer programming formulation of a single-item capacitated version of this problem, and use these results to develop solution methods for multi-item applications. In particular, we introduce a set of valid inequalities for the problem and show that they define facets of the underlying integer programming polyhedron. Computational results on several single and multiple product examples show that these inequalities can be used quite effectively to develop an efficient cutting plane/branch and bound procedure. Moreover, our results show that in many instances adding certain of these inequalities a priori to the problem formulation, and avoiding the generation of cutting planes, can be equally effective.Supported by Grant #ECS-8316224 from the Systems Theory and Operations Research Program of the National Science Foundation.     

Positive energy bound states in resonating group calculations

Spurious resonances occuring in numerical resonating group calculations off the oscillator limit are explained as being due to positive energy bound states. A generalization of Swan's version of the Levinson theorem is given which takes into account these states.     

Transitions dans une serie de clathrates de thiourée et d'urée avec encages cycliques

Crystallographic and thermal studies have been made on the adducts of thiourea with cyclohexane, cycloheptane, cyclooctane, and tetrahydropyran over the temperature range ?170 to 25°C. All the samples exhibit several transitions, which have been classified. Results from previous work are recalled in order to discuss the possible nature of the transitions.     

Reproducing kernel Hilbert spaces and the law of the iterated logarithm for Gaussian processes

In this paper, we find the limit set of a sequence (2 log n)^?1/2 X _n (t), n≧3) of Gaussian processes in C [0,1], where the processes X _n (t) are defined on the same probability space and have the same distribution. Our result generalizes the theorems of Oodaira and Strassen, and we also apply it to obtain limit theorems for stationary Gaussian processes, moving averages of the type \(\int\limits_0^t {f\left( {t - s} \right)dW\left( s \right)} \) , where W(s) is the standard Wiener process, and other Gaussian processes. Using certain properties of the unit ball of the reproducing kernel Hubert space of X _n (t), we derive the usual law of the iterated logarithm for Gaussian processes. The case of multidimensional time is also considered.     

On the structure of support points in the class Σ

Journal d'Analyse Mathématique -