For example, the operator absolute value (Abs) can be applied to a float, a vector, or a matrix; this polymorphism provides needed simplicity in the function expression.
Although other error functions could be used, for simplicity, the error function chosen herein is the mean square error (MSE); (15).
For simplicity, the activation function of the megamap, (f u_{i}) = f_{mathrm{pk}}[u_{i}]_), is scaled in the reduced model to have a peak value of 1.
For simplicity, the gamma function is defined as (Jowder 2009; Ouammi et al. 2010): varGamma left( x right) = mathop int nolimits_{0}^{infty } t^{x - 1} e^{ - t} {text{d}}t (8).
For the sake of simplicity, the intensity function for NHPP does not change over time and some parameters are assumed to be the same, i.e., E n init = E init, P n elec = P elec, P n tran = P tran, P n sens = P sens, λ n = λ, and τ n = τ for n = 0,1,2,…,N.
For the sake of simplicity, the membership functions are commonly implemented either as triangular shaped (Eq. 2) or Gaussian functions (Eq. 3).
For simplicity, the indicator functions in Eq. (5) and in Eq. (6) were defined with a square time gating as in [ 3].
We also point out here that in our formulations and proofs we have generally assumed for simplicity that the functions A, B, G and domains (Omega ) are (C^k) smooth for appropriate k, although typically this can be replaced by (C^{k-1,1}) smooth, as indicated in Remark 4.2.
For simplicity, we take the function (f(I)) of the form (1+beta I).
We consider, for reasons of simplicity, the nonlinear incidence function g ( I ) = I p 1 + κ I q and take p = 1 and κ = 0 to obtain g ( I ) = I.
