On examples of difference operators for {0,1}\{0,1\}-valued functions over finite sets

Recently V.I.Arnold have formulated a geometrical concept of monads and apply it to the study of difference operators on the sets of $\{0,1\}$-valued sequences of length $n$. In the present note we show particular examples of these monads and indicate one question arising here

Primate spatial strategies and cognition: Introduction to this special issue

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/106890/1/ajp22257.pd

Free to Choose Service Learning

Only disciples of Ayn Rand could oppose the idea of service-learning. In the best situations, when service is part of a school\u27s program. students are challenged to define themselves through a larger sense of their community and of their responsibility to it. They have the opportunity to apply their skills to problems that require judgment and leadership. Service-learning, if properly understood, can help re-create the functional communities that renowned University of Chicago sociologist James Coleman wrote about as being vital to increasing the amount of social capital generated by schools

Prediction of extreme events in the OFC model on a small world network

We investigate the predictability of extreme events in a dissipative Olami-Feder-Christensen model on a small world topology. Due to the mechanism of self-organized criticality, it is impossible to predict the magnitude of the next event knowing previous ones, if the system has an infinite size. However, by exploiting the finite size effects, we show that probabilistic predictions of the occurrence of extreme events in the next time step are possible in a finite system. In particular, the finiteness of the system unavoidably leads to repulsive temporal correlations of extreme events. The predictability of those is higher for larger magnitudes and for larger complex network sizes. Finally, we show that our prediction analysis is also robust by remarkably reducing the accessible number of events used to construct the optimal predictor.Comment: 5 pages, 4 figure