We investigate in this paper the non-uniform sampling of EEG dipolar potentials and its impact on source analysis. We suppose some a priori knowledge on the approximate location of the dipole. We show that, in a noise-free situation, the electrode spacing needs to be around 3cm in the region of the dipole only, whereas it can drop to 8cm in remote regions.

Given εi ∈ [0,1) for each 1 < i < n, a particle performs the following random walk on {1,2, . . . ,n}: If the particle is at n, it chooses a point uniformly at random (u.a.r.) from {1, . . . ,n− 1}. If the current position of the particle is m (1 < m < n), with probability εm it decides to go back, in which case it chooses a point u.a.r. from {m + 1, . . . ,n}. With probability 1− εm it decides...

In this paper we begin the study the dynamical behavior of non-uniform cellular automata and compare it to the behavior of “classical” cellular automata. In particular we focus on surjectivity and equicontinuity.

Background CMR tagging in polar patterns is desirable because of its close compatibility to the annular geometry and motion of the left ventricle in short axis view. This circular symmetry does not exist in some pathological cases neither in the normal long axis view. An oval-shaped pattern is more suitable for assessment of the deformation in these conditions. Herein, we present the non-unifor...

We provide a joint strong approximation of the uniform spacings empirical pro1 cess and of the uniform quantile process by sequences of independent Gaussian processes. 2 This allows us to obtain an explicit description of the limiting Gaussian process generated by 3 the sample spacings from a non-uniform distribution. It is of the form B(t)+ (1− σF ){(1− 4 t) log(1 − t)} ∫ 1 0 {B(s)/(1 − s)}ds,...

In [BE01], Bucciarelli and Ehrhard propose a general tool for building a wide class of models of linear logic where a formula is interpreted as a set (the web) together with a kind of phase valued “coherence relation”. These interpretations are nonuniform in the sense that the semantics of a proof makes no assumption about the behaviour of its possible counter-proofs, unlike e.g. in the usual s...

singular perturbation problems have been studied by many mathematicians. since the approximate solutions of these problems are as the sum of internal solution (boundary layer area) and external ones, the formation or non-formation of boundary layers should be specified. this paper, investigates this issue for a singular perturbation problem including a first order differential equation with gen...