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The functions will be assumed to satisfy the following.
The external (thalamic) input function (I_{mathrm{thalamus}}) will be assumed equal to 0 throughout the paper in order to consider spontaneous activity only.
In this case, P0(s ) is defined by the Kronecker delta function as (2) For our purposes, it will be assumed that the initial condition as defined by Equation (2) will hold and the state density function that is the solution of the CME can be written as the conditional probability density function P s, t| s 0, t0 = 0).
At the outset of the present investigation it will be assumed that the transfer function g ˆ is a function of the scaling variable ω ξ ( x ).
The laser frequency will be assumed as a function of distance and time.
The functions f and g (related through (2)) will be assumed to satisfy the following set of conditions.
In this case study, the inputs x i (n) will be assumed uncorrelated Zero-mean Gaussian variables with variance σ x i 2. The NN activation function will be taken as the erf function.
His duties will be assumed by Msgr.
Thus, temporal invariance will be assumed.
Statistical significance will be assumed for p<0.05.
Significance will be assumed if P < 0.05.
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