The Kolmogorov Zero-One law states that for tail events on infinite-dimensional probability spaces, the probability must be either zero or one. Behavior analogous in a natural sense to this exists on finite-dimensional spaces as well. Events exhibiting this behavior are said to have a sharp threshold. Let Qn = {0, 1}n be the discrete hypercube with the probability measure Pp defined by Pp(ω1, ω...

One of the key challenges related to glaciofluvial aquifers is understanding how underlying bedrock structures and associated surface topography contributed deposition sediments generation groundwater flow pathways. In this study from Western Finland, we present a new digital elevation model Precambrian crystalline buried up 100 m beneath along Kurikka depression. We link structural anisotropy ...

in structural time seriesregression models, binary (classic) dummy variables are used to quantify the effects of economic structural breaks, changes or qualitative variables. the binary dummy variable can be challenged using this dummy variable in which 0 or 1 represent absence or presence of structural breaks(or changes), but presence of the structural breaks(or changes) may not have uniform e...

neuronal and astroglial cells were prepared from whole brain of three month and 30-month- old rats for study of alterations in the nuclear poly adp-ribosylation and dna breaks with age. the relative purity of the cell preparations was confirmed by the determination of the neurofilament (low molecular weight) and glutamine synthetase content of the cells using elisa. an increase (75%) in the pol...