The goal here to is to introduce irreducible root systems, and through them try to classify certain lattices. As we’ve seen, lattices are just about the best thing there is in number theory (maybe), since it’s easy to pop out a modular form from a lattice under the right circumstances. Luckily, we’ll be working in those very circumstances! To get there, we’re going to have to define what a code...

BACKGROUND One of the tragic legacies of Hurricane Katrina was the loss of life among Louisiana (LA) nursing home (NH) residents. Katrina revealed a staggering lack of emergency preparation and understanding of how to safely evacuate frail populations. Three years later, LA braced for Hurricane Gustav, a storm heralded to rival Katrina's power. Although its magnitude of destruction ultimately p...

So wrote Friedrich Nietzsche in 1873, as part of his ironic response to the success of the Philosophy of the Unconscious (Philosophie des Unbewussten, 1869), written by the Berlin philosopher Eduard von Hartmann. If the influence of a concept can be gauged by the way in which it is received by the public at large, if not in academic circles, then Hartmann’s volume, which ran to some eleven edit...

Concurrent brain responses to separate auditory and visual targets 1 [Running head: Concurrent brain responses to crossmodal targets] 2 Paola Finoia, Daniel J Mitchell, Olaf Hauk, Christian Beste, Vittorio Pizzella, John Duncan 4 3 4 1. MRC Cognition and Brain Sciences Unit, 15 Chaucer Road, Cambridge CB2 7EF, UK 5 6 2. Cognitive Neurophysiology, Department of Child and Adolescent Psychiatry, 7...

81 only holds if we consider the whole set &. If more information about the curves are given, e.g. if fiducial points are given, then it might be possible to construct invariants which are non-constant and continu-Thus the euclidean nature of image distorsion and the projective nature of camera geometry do not interact well. It is possible that one could construct projective invariants which ar...