Some Examples with Fiducial Relevance

Combinatorics with a geometric flavor: some examples

Symbolic Preconditioning with Taylor Models: Some Examples

Deterministic global optimization with interval analysis involves − using interval enclosures for ranges of the constraints, objective, and gradient to reject infeasible regions, regions without global optima, and regions without critical points; − using interval Newton methods to converge on optimum-containing regions and to verify global optima. There are certain problems for which interval d...

Making Music with AI: Some examples

The field of music raises very interesting challenges to computer science and in particular to Artificial Intelligence. Indeed, as we will see, computational models of music need to take into account important elements of advanced human problem solving capabilities such as knowledge representation, reasoning, and learning. In this paper I describe examples of computer programs capable of carryi...

Some New Examples with Quasi-positive Curvature

As a means to better understanding manifolds with positive curvature, there has been much recent interest in the study of nonnegatively curved manifolds which contain a point at which all 2-planes have positive curvature. We show that there are generalisations of the well-known Eschenburg spaces together with quotients of S×S which admit metrics with this property. It is an unfortunate fact tha...

Representations : Some Examples