In this paper, we examine on-line learning problems in which the target concept is allowed to change over time. In each trial a master algorithm receives predictions from a large set of n experts. Its goal is to predict almost as well as the best sequence of such experts chosen off-line by partitioning the training sequence into k+1 sections and then choosing the best expert for each section. W...

X k=1 z 0k A0;k(z M)Mi01(z M): (41) This formula makes transparent exactly what happens in a recursive computation of the correlation functions. At every stage i, we have the Z-transform at points M 0i n of the appropriate function. In going to the (i + 1)st stage, the rst term Mi01(z M) ensures that values at the previous stage are retained at the even points, while the second term interpolate...

We solve the general case of the bridge-crossing puzzle. 1 The Puzzle Four people begin on the same side of a bridge. You must help them across to the other side. It is night. There is one flashlight. A maximum of two people can cross at a time. Any party who crosses, either one or two people, must have the flashlight to see. The flashlight must be walked back and forth, it cannot be thrown, et...

In this paper, we present a sufficient condition for the universal rigidity of a generic bar framework G(p) in terms of the Gale matrix Z corresponding to G(p). We also establish a relationship between the stress matrix S and the Gale matrix Z for bar frameworks. This allows us to translate back and forth between S and Z in recently obtained results concerning universal rigidity, global rigidit...

Technology Hellas-FORTH 9.

the belief in allah and having the inclination towards him is of the innate human disposition; and human beings have throughout the history sought to know their god and many have undeservingly applied the quest to false gods whom they have worshiped. in order to know allah, some people liken him to human beings or other creatures and even they attribute a body to him; yet others establish absol...