Using a variational technique we calculate the susceptibility of an ion fluctuating between two magnetic valence states. We show the importance of including the first excited state. Our results can be expressed in a renormalised form in the Kondo limits and are seen to correspond to exact results for Ce. Materials with mixed valent properties fall into where HI is a small perturbation given by ...

Clustering mixed data presents numerous challenges inherent to the very heterogeneous nature of variables. A clustering algorithm should be able, despite this heterogeneity, extract discriminant pieces information from variables in order design groups. In work we introduce a multilayer architecture model-based method called Mixed Deep Gaussian Mixture Model that can viewed as an automatic way m...

We extend a result of Nicaise [13] for the a posteriori error estimation of the cell-centered finite volume method for the numerical solution of elliptic problems. Having computed the piecewise constant finite volume solution uh, we compute a Morley-type interpolant Iuh. For the exact solution u, the energy error ‖∇T (u− Iuh)‖L2 can be controlled efficiently and reliably by a residual-based a p...

although lot streaming scheduling is an active research field, lot streaming flexible flow lines problems have received far less attention than classical flow shops. this paper deals with scheduling jobs in lot streaming flexible flow line problems. the paper mathematically formulates the problem by a mixed integer linear programming model. this model solves small instances to optimality. moreo...

A model is presented where there exists another U(1) gauge group which is extremely weakly coupled to that of QED except inside the core of domain walls. It is possible to choose parameters such that standard model photons crossing such a wall are mixed maximally with the ’para-photons’ of the other U(1). We use this model to explain the apparent low luminosity of high redshift supernovae. A po...