Strategic Decision-Making is always challenging because it inherently uncertain, ambiguous, risky, and complex. By contrast to tactical operational decisions, strategic decisions are decisive, pivotal, often irreversible, which may result in long-term significant consequences. A decision-making process usually involves many aspects of inquiry, including sensory perception, deliberative thinking...

The goal of our work is to model believable virtual actors. Within the framework of learning by imitation, the virtual actor must be able to modify its prototypic behavior for miming in its imaginary world the observed behavior of a model which can be another virtual actor or an avatar controlled by a human operator. Each virtual actor has sensors for perceiving and effectors for acting and als...

Suppose E is an elliptic curve defined over Q. At the 1983 ICM the first author formulated some conjectures that propose a close relationship between the explicit class field theory construction of certain abelian extensions of imaginary quadratic fields and an explicit construction that (conjecturally) produces almost all of the rational points on E over those fields. Those conjectures are to ...

The Krylov subspace projection approach is a well-established tool for the reducedorder modeling of dynamical systems in the time domain. In this paper, we address the main issues obstructing the application of this powerful approach to the time-domain solution of exterior wave problems. We use frequency-independent perfectly matched layers to simulate the extension to infinity. Pure imaginary ...

Abstract In this article, we prove that every quadratic rational map whose multipliers all lie in the ring of integers a given imaginary field is power map, Chebyshev or Lattès map. particular, provides some evidence support conjecture by Milnor concerning maps have an integer multiplier at each cycle.