Chiral photons have the potential to advance information technologies due their robustness in carrying binary data against noisy backgrounds as well capacity for constructing single-photon isolators and circulators through nonreciprocal photon propagation. In this Perspective, we highlight recent efforts generate chiral single using circularly polarized light sources. We delve into possible fut...

    Necessary conditions for  shearlet  and cone-adapted shearlet systems to be frames are presented with respect to the admissibility condition of generators.

Pseudo-random numbers are often required for simulations performed on parallel computers. The requirements for parallel random number generators are more stringent than those for sequential random number generators. As well as passing the usual sequential tests on each processor, a parallel random number generator must give diierent, independent sequences on each processor. We consider the requ...

Fast uniform random number generators with extremely long periods have been defined and implemented based on linear recurrences modulo 2. The twisted GFSR and the Mersenne twister are famous recent examples. Besides the period length, the statistical quality of these generators is usually assessed via their equidistribution properties. The huge-period generators proposed so far are not quite op...

We present a novel counterexample generator for the interactive theorem prover Isabelle based on a compiler that synthesizes test data generators for functional programming languages (e.g. ML, Haskell) from specifications in Isabelle. In contrast to naive type-based test data generators, the smart generators take the preconditions into account and only generate tests that fulfill the preconditi...

This article introduces the notion of cognitive pattern generators and suggests, by analogy with the central pattern generators of the motor system, that these pattern generators operate to organize neural activity underlying aspects of action-oriented cognition. It is further proposed that the basal ganglia are involved in the control of cognitive as well as motor pattern generators. Disorders...