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e impressions of others can arise quickly and from only a few data points of observation. In the late 1960’s, University of California mathematician, Rufus Bowen, proved the now famous shadow theorem. This says that in dynamical states of hyperbolicity, directly observable on the screen in computer simulations
occupancy of these possibles, the probables, form the bases for the computation of these two kinds of entropies. For example, the work of Paulus and Geyer showed that the administration of a very small amount of stimulant drug, compared with a salt water control, led to an increase in the first measure
1968), the French mathematicians, Rene Thom (1972) and David Ruelle (1978) and the U.C. Berkeley mathematicians, Steve Smale (1967) and his student, Rufus Bowen (1975), and their associates who gathered together these and other related computational discoveries and embedded them in a qualitative theory of non
cal aphorism that captures the fresh spiritual state of each moment’s openness and readiness, the in- between entropies for new information surprise. Geyer and Martin Paulus found that entheogenic agents such as Ecstasy also increased the complexity of the patterns of spontaneous motor movement made by r
y, R.M. (1990) Nonlinear forcasting as a way of distinguishing chaos from measurement error in time series. Nature 344:734-741. Sullivan, D. (1979) Rufus Bowen. Publ. Math. |.H.E.S. 50:255 Szeto, H.H., Cheng, P.Y., Decena, J.A., Cheng, Y., Wu, D., Dwyer, G. (1992) Fractal properties in fetal breathing dynam
temporal and spatial patterns of rat exploratory behavior have been used to discriminate among stimulant drug effects (Paulus et al, 1990; Paulus and Geyer, 1992). Similar computations involving the symbolic dynamics and disallowed transitions have been used to study the complexity of the the EEG (Xu, 19
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