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By assuming that the processes involved in acquiring new metabolic abilities are comparable to those found in natural populations, directed-evolution experiments can provide useful insights in early cellular evolution (Fani 2004).
It is based on the classical theory of nucleation, and on growth laws obtained by assuming that the processes are controlled by the diffusion of the alloying chemical species only.
Assuming that the processes (B cdot,T_{k}^{x})/B cdot,T_{N})) are true Open image in new window -martingales for every pair (x,k), the forward measures Open image in new window are absolutely continuous with respect to Open image in new window and defined in the usual way, i.e., via the Radon Nikodym density Open image in new window.
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But the mistake I think Rowan Williams makes is assuming that the process is only one way.
The DS ¯¯¯X chart is usually investigated assuming that the process parameters are known.
This is equivalent to assuming that the process is an inhomogeneous Poisson process with intensity λ = f.
Assuming that the process of deposition is ruled by the standard blocking mechanism during all the time range.
The nonparametric model estimates the covariance or the spectrum without assuming that the process has a particular structure.
This effect, which depends on a non-linear solubility, can usually be successfully predicted by assuming that the process is diffusion controlled.
This model selection method is designed to yield the model which provides the best multistep forecast for the given lead time, without assuming that the process actually obeys a FEXP model.
Using the probabilities (12) and (13), we can derive the mean and variance of the Hamming distance between two independent hash sequences of symbols, assuming that the process starts in the equilibrium distribution (11).
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