Euler diagrams are the only diagrams that intuitively represent containment, intersection and exclusion of data, but none of the current automatic diagram layout techniques produce good layouts in a reasonable time. We adopt a force-directed approach to automatically layout aesthetically pleasing Euler diagrams in a relatively fast time. A Java prototype demonstrates our novel force model.

Let G be a countable discrete group and let M be a smooth proper cocompact G-manifold without boundary. The Euler operator defines via Kasparov theory an element, called the equivariant Euler class, in the equivariant KO-homology of M. The universal equivariant Euler characteristic of M, which lives in a group UG(M), counts the equivariant cells of M , taking the component structure of the vari...

The extended Euler deconvolution algorithm is shown to be a generalization and unification of 2-D Euler deconvolution and Werner deconvolution. After recasting the extended Euler algorithm in a way that suggests a natural generalization to three dimensions, we show that the 3-D extension can be realized using generalized Hilbert transforms. The resulting algorithm is both a generalization of ex...

This paper presents a computationally-fast inverse dynamics model based on unit quaternion orientation representation for use in the generation of unmanned aircraft trajectories when the flight envelope may include all flight path orientations, a necessary attribute for aerobatics or unmanned air-to-air combat vehicles. The model removes the inherent singularities in Euler-angle attitude repres...

In this paper, we present an original derivation process of a nonhydrostatic shallow water-type model which aims at approximating the incompressible Euler and Navier-Stokes systems with free surface. The closure relations are obtained by a minimal energy constraint instead of an asymptotic expansion. The model slightly differs from the well-known Green-Naghdi model and is confronted with statio...

Euler diagrams are a popular method for visualising sets and their relationships, exploited for resource management and visual logic specification, for example. We add the notion of colouring, provide a formal description of the extended system and demonstrate how coloured Euler diagrams provide adequate visualisations for concepts in the new bio-inspired model of Reaction Systems and for polya...

We introduce a dyadic model for the Euler equations and the Navier-Stokes equations with hyper-dissipation in three dimensions. For the dyadic Euler equations we prove finite time blow-up. In the context of the dyadic Navier-Stokes equations with hyper-dissipation we prove finite time blow-up in the case when the dissipation degree is sufficiently small.

Euler diagrams are the only diagrams that intuitively represent containment, intersection and exclusion of data, but none of the current automatic diagram layout techniques produce good layouts in a reasonable time. We adopt a force-directed approach to automatically layout aesthetically pleasing Euler diagrams in a relatively fast time. A Java prototype demonstrates our novel force model.