GENERATION OF ALPHA-DENSE CURVES IN A CUBE OF IRN

A multi-dimensional global optimization method has been developed. Thi s method uses the curves of R-n called alpha-dense. A characterization of alpha-dense curves is given in terms of gamma-stochastically indep endent functions as well as a constructive method to generate them by means of only one function phi called gamma-uniformly distributed has been developed. A very large class of functions which generate alpha-d ense curves is discussed. This class contains the gamma-uniformly dist ributed functions, the periodic functions and even functions which are not periodic, but which fulfil some properties.