In this paper, we consider the problem of formal iteration. We construct an area preserving mapping which does not have any square root. This leads to a counterexample Moser’s existence theorem for interpolation problem. give examples transformation groups such that iteration has solution every element

We try to control many cardinal characteristics by working with a notion of orthogonality between two families of forcings. We show that b < g is consistent. This work is dedicated to James Baumgartner on the occasion of his 60th birthday.

Although ytterbium was named by the Swiss chemist Jean de Marignac in 1878, his ‘element’ was subsequently split into two in 1905: ytterbium and lutetium. The atomic weight of the ‘new’ ytterbium was later published in 1907 — so when was ytterbium actually discovered? The story begins on 13 June 1726, more than 150 years before it first received its name. On that date an agreement was signed al...

The aim of this paper is to present some modifications of the biomorphs generation algorithm introduced by Pickover in 1986. A biomorph stands for biological morphologies. It is obtained by a modified Julia set generation algorithm. The biomorph algorithm can be used in the creation of diverse and complicated forms resembling invertebrate organisms. In this paper the modifications of the biomor...

This paper presents SUPPLE (SUPport for Parallel Loop Execution), an innovative run{time support for parallel loops with regular stencil data references and non{uniform iteration costs. SUPPLE relies upon a static block data distribution to exploit locality, and combines static and dynamic policies for scheduling non{uniform iterations. It adopts, as far as possible, a static scheduling policy ...

Markov Decision Processes (MDP) are a widely used model including both non-deterministic and probabilistic choices. Minimal and maximal probabilities to reach a target set of states, with respect to a policy resolving non-determinism, may be computed by several methods including value iteration. This algorithm, easy to implement and efficient in terms of space complexity, consists in iterativel...