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According to percolation theory if p is smaller than a given, lattice dependent pc, the infection cannot spread, above this critical probability a finite proportion of the trees become infected, while at the critical point the infected trees form a large very irregular "cluster" of neighbouring trees.
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The closed-form SEP expressions obtained contain Gaussian -functions and a finite (in proportion to ) sum of single integrals with finite limits and an integrand composed of elementary (exponential, trigonometric, and power) functions, thus readily enabling numerical evaluation.
The obtained closed-form SEP expressions contain a finite (in proportion to ) sum of single integrals with finite limits and an integrand composed of elementary (exponential, trigonometric, and/or power) functions, thus readily enabling numerical evaluation.
The method consists of transforming a conceived set of design points over a finite interval into proportions of the design interval defined by the sub-intervals between successive points.
A simple version of this method is based on transforming design points on a finite interval to proportions of the interval.
Equation (7) defines the threshold condition for the global invasion: if R* assumes values larger than 1, the epidemic starting from a given subpopulation will reach global proportion affecting a finite fraction of the subpopulations of the system; if instead R* < 1, the epidemic will be contained at its source and will not spread further to other locations.
As noted by Harris (2002), the BD process does not seem to be a good model for the spread of an epidemic in a finite population, since when a large proportion of the population has been infected, we cannot suppose that the rate of new infections is independent of past history.
Note that the simulated admixture proportions vary due to a finite number of SNPs.
Although quite complex, the γ-statistic may simply be interpreted as λ, the proportion of among-impute variance in inferences, adjusted for a finite number of imputes (van Buuren 2012).
Recall that as a proportion of all finite strings, there are at most 1/2k compressible strings (§2.2.1).
"There's a finite amount of time.
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