We seek solutions u ∈ R to the semilinear elliptic partial difference equation −Lu+ fs(u) = 0, where L is the matrix corresponding to the Laplacian operator on a graph G and fs is a one-parameter family of nonlinear functions. This article combines the ideas introduced by the authors in two papers: a) Nonlinear Elliptic Partial Difference Equations on Graphs (J. Experimental Mathematics, 2006),...

This note investigate some finiteness properties of the category U of unstable modules. One shows finiteness properties for the injective resolution of finitely generated unstable modules. One also shows a stabilization result under Frobenius twist for Ext-groups.

Nowadays NMR spectroscopy becomes a powerful tool in chemistry because of the NMR chemical shifts. Hartree–Fock theory and the Gauge-including atomic orbital (GIAO) methods are used in the calculation of 29Si NMR chemical shifts of various silicate species in the silicate solution as initial components for zeolite synthesis both in gas and solution phase. Calculations have been performed at geo...

In practice, most projects result in cost overruns and schedule slippage due to poor resource management. This paper presents an approach that aims at reducing project duration and costs by empowering project managers to assess different scenarios. The proposed approach addresses combinatorial modes for tasks, multi-skilled resources, and multiple calendars for resources. A case study reported ...

Exchangeable arrays are natural tools to model common forms of dependence between units a sample. Jointly exchangeable well suited dyadic data, where observed random variables indexed by two from the same population. Examples include trade flows countries or relationships in network. Separately multiway clustering, sharing cluster (e.g., geographical areas sectors activity when considering indi...

U-shaped learning is a learning behaviour in which the learner first learns a given target behaviour, then unlearns it and finally relearns it. Such a behaviour, observed by psychologists, for example, in the learning of past-tenses of English verbs, has been widely discussed among psychologists and cognitive scientists as a fundamental example of the non-monotonicity of learning. Previous theo...

U-shaped learning deals with a learner first having the correct hypothesis, then changing it to an incorrect hypothesis and then relearning the correct hypothesis. This phenomenon has been observed by psychologists in various studies of children development. In this survey talk, we will discuss some recent results regarding U-shaped learning and related criteria.