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The nonlinear Schrödinger equation i∂tw + Δw +V(x)|w|p-1w = 0 w = w(t,x) : Ι × RN → C, N ≥ 2, (1) is studied, with p > 1, V : RN \ {0} → R and Ι ⊂ R an interval. The coefficient V is subject to various hypotheses. In particular, it is always assumed ...
Astrocytes play a critical role in the regulation of brain metabolic responses to activity. One detailed mechanism proposed to describe the role of astrocytes in some of these responses has come to be known as the astrocyte-neuron lactate shuttle hypothesi ...
Recently, several approaches for communications using chaos have been presented, often showing less than acceptable performance. In this paper, a short introduction to the topic is given, and it is shown that such methods can be efficient—if the informatio ...
Using arguments developed by De Giorgi in the 1950's, it is possible to prove the regularity of the solutions to a vast class of variational problems in the Euclidean space. The main goal of the present thesis is to extend these results to the more abstrac ...
The distance from self-intersection of a (smooth and either closed or infinite) curve q in three dimensions can be characterised via the global radius of curvature at q(s), which is defined as the smallest possible radius amongst all circles passing throug ...
Set agreement, where processors decisions constitute a set of outputs, is notoriously harder to analyze than consensus where the decisions are restricted to a single output. This is because the topological questions that underly set agreement are not about ...
The CSCL community faces two main challenges with respect to learning and argumentation. The scientific challenge is to understand how argumentation produces learning, that is to discover which cognitive mechanisms, triggered by argumentative interactions, ...
Prior literature tells us VCs are responsible for ousting founders from their leadership positions and replacing them with professional management around IPO time. This argument assumes all founders are equally incapable of running a company beyond the ini ...
We provide a concrete security treatment of several "provably secure" hash functions. Interpreting arguments behind MQ-HASH, FSB, SWIFFTX and VSH we identify similar lines of reasoning. We aim to formulate the main security claims in a language closer to t ...
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