In the context of affine parameter dependence, in which the operator is expressible as the sum of Q products of parameter-dependent functions and parameter-independent operators (see Section 3), the Offline-Online idea is quite self-apparent and has been naturally exploited [16, 25] and extended more recently in order to obtain efficient a posteriori error estimation.
From Equation 3, efficiency equals 0.5 when group size equals the product of parameters A and B. However, since A and B are abstract values and therefore difficult to assign a priori, another form of the equation was derived.
In our model, the range of mRNA/Protein copy number M i / P i is given by the product of parameters τ P β.
As a by-product of parameter estimation, the procedure provides a categorical assessment of the effective lead time of the operational hydrologic forecasts for different QPF and forecast flow conditions.
*The sum of (the product of) parameter estimates gives the value of the prognostic index of a patient.
This paper also proposed to linearize the products of controller parameter K and auxiliary variable G by assigning the auxiliary variables instead of the change of variables technique.
These are used in a novel approach to representing group elements as products of one-parameter subgroups (splitting formula) and for finding polynomial matrix elements of representations for the Lie group, in particular irreducible representations.
Thus, the measured output and estimated output sequences, respectively, y n 0, y ˆ n are real scalar products of a parameter vector, respectively, θ, θ ˆ n by their associated regressors, respectively, x n 0, x n ′ which are associated with previous values which depend on the order of the modeled and unmodeled parts of system.
No enzyme concentrations have been measured, so that an optimizer cannot distinguish between the product of two parameters or one parameter.
This parameter is the product of various parameters, as they are given below [31]: eta_{text{opt}} = rho cdot gamma cdot tau cdot alpha cdot K theta ).
