Scalar curvature for the noncommutative two torus... The curvature formula is simplified for dilatons of the form sp, where s is a real parameter and p ∈ C∞(T4Θ) is an arbitrary projection, and it is observed that, in contrast to the two dimensional case studied by A....
Insolubility of the quantum measurement problem for unsharp observables... In the {\it insolubility theorem for sharpobservables}, which is only a modest extension of previous results, the objectobservable is taken to be an arbitrary projection valued measure....
Insolubility of the quantum measurement problem for unsharp observables... In the {\it insolubility theorem for sharp observables}, which is only a modest extension of previous results, the object observable is taken to be an arbitrary projection valued measure....
Fast shadows and lighting effects using texture mapping... We show how a simple extension to perspective-comect texture mapping can be used to create various lighting effects, These include arbitrary projection of two-dimensional images onto geometry, realistic spotlights, and generation of shadows using shadow maps [ 10]....