The topic of amodal completion has often been investigated by using partly occluded shapes that are regular. In research that has typically been done with displays such as these regular shapes, it has been shown that global aspects of a shape can determine completion. To see how robust these global influences in the completion process are, we investigated quasi-regular shapes, ie shapes with a ...

Given a point on the standard simplex, we calculate a proximal point on the regular grid which is closest with respect to any norm in a large class, including all `-norms for p ≥ 1. We show that the minimal `-distance to the regular grid on the standard simplex can exceed one, even for very fine mesh sizes in high dimensions. Furthermore, for p = 1, the maximum minimal distance approaches the `...

Different mechanisms believed to be responsible for the generation of bursts in hydrodynamical systems are reviewed and a new mechanism capable of generating regular or irregular bursts of large dynamic range near threshold is described. The new mechanism is present in the interaction between os-cillatory modes of odd and even parity in systems of large but finite aspect ratio, and provides an ...

The aim of this work is to describe the qualitative behavior of the solution set of a given system of fractional differential equations and limiting behavior of the dynamical system or flow defined by the system of fractional differential equations. In order to achieve this goal, it is first necessary to develop the local theory for fractional nonlinear systems. This is done by the extension of...

Striking disparities in access to healthcare and in health outcomes are major characteristics of health across the globe. This inequitable state of global health and how it could be improved has become a highly popularized field of academic study. In a series of articles in this journal the roles of power and politics in global health have been addressed in considerable detail. Three points are...

The class of matroids representable over all fields is the class of regular matroids. The class of matroids representable over all fields except perhaps GF (2) is the class of near-regular matroids. Let k be a non-negative integer. This thesis considers the class of k–regular matroids, a generalization of the last two classes. Indeed, the classes of regular and near-regular matroids coincide wi...

We establish global regularity results for a wide class of non-linear higher order parabolic systems. The model problem we have in mind is the parabolic p-Laplacian system of order 2m, m≥ 1, ∂tu+(−1) divm (|Dmu|p−2Dmu) = 0 with prescribed boundary and initial values. We prove that if the boundary values are sufficiently regular, then Dmu is globally integrable to a better power than the natural...