Generic function

As proposed by Heinrich and Schauer [96], Eq. (47) provides a generic functional form for most common rate equations, with F(S,P,k) denoting a polynomial with positive coefficients and S and P the substrates and products of the reactions, respectively See also Section VIIC 3 for a more detailed discussion. 

A thorough analysis of Eq. (Ill), including a decomposition of all parameters into a thermodynamically independent representation, is given in Ref. [161]. Here we only note that Eq. (Ill) is consistent with Eq. (47) and provides a generic functional form to describe (unknown) rate equations in large-scale metabolic networks. 

In Eq. (149) we assume that allosteric regulation affects the reaction rates as a multiplicative factor h(I). Following Ref. [161], a generic functional form for an inhibitory effector is... 

One must note that, in general, the evaluation of Eq. (7.18) gives a classical Hamiltonian, Hch which is a generic function of (q, p) and not necessarily of the Cartesian type... 

Cost-effectiveness and mass deployment of critical systems in combination with non-critical systems is a trend, where many other application areas will benefit from, so that there is a clear need not only for application-specific ICT-technology, but for generic dependable ICT-technology (hardware, software, SoC (Systems-on-Chip), building blocks, communication) which fulfils the requirements of generic functional safety and security standards as well as of sector-specific ones (certification to create trust in these systems ). 

For the moment let us follow closely the analysis of Richmond [68,69] who considered two planar surfaces, one at z = 0 and one at z = h, with arbitrary nonuniform distributions of charge or potential y s) and y2(s). The boundaries mark the ends of two infinite planar half spaces with dielectric permittivities, g] and S3, separated by a third, intermediate dielectric continuum of width h and permittivity, e2. This central medium contains a simple electrolyte solution. The generic function, y(s), we use to represent either a surface potential, P(s), or a surface charge, cr(s). s = (x,.y) is again the position vector in the plane of a surface. An arbitrary source distribution can be represented by the Fourier integral,... 

Generic Codes. Generic, functional, or other significant aspects may be recorded for independent searching within unique or nonunique codes. Examples are "semantic codes (37) and Universal decimal classification. 

Pseudo-code for threshold acceptance (TA) for minimization of a generic function (x)... 

Figure 22-2 Cytokine network and generic function over cells.

Furthermore, in order to simplify the technical realization and maintenance of the environment, abstract interfaces for tool wrappers have been introduced to render models from external tools, including gPROMS and Aspen Plus (cf. Fig. 5.19). These abstract interfaces permit the development of generic functionality in the environment. Furthermore, future changes in the simulation tools only influence the corresponding wrapper implementation they do not need to be accounted for in the implementation of the functional modules of the overall environment. 

An auxiliary relationship has to be set up to describe the process of fines deposition and release. A general rate equation can be set up such that G represents a generic function and y represents a vector of parameters. Note, that the deposition rate depends explicitly on the suspended particle concentration and the concentration of retained fines. 

To model the permeability reduction, due to fines deposition, the generic function F(/3, a) from equation 8 can be expressed through an empirical correlation (73). 

London dispersion force (dimensionless) colloidal force, (mass length time-2) gravitational acceleration (length time-2) effective medium conductivity (length3) conductivity for a pore of radius r (length3) conductance distribution generic function (time-1) separation distance (length)... 

Both lamp irradiation and catalyst concentration play vei7 important roles in photocatalytic processes. The effect of the iiTadiation parameter on the overall (apparent) rate of photoconversion can be represented by a power vai ying between 0.5 and 1. The influence of the photocatalyst weight can also be considered using a generic function of the irradiated catalyst. 

There is obvious functional overlap between the systems described in Figure 7.9, for example, the MMS will provide some degree of document control that obviously overlaps with the EDMS. The following describes the generic functionality associated with the IS architecture. 

The scope of apphcation of a PTS system can be universal or generic, functional, or specific. A universal system is one that is designed for body members in general. Its application is not restricted... 

TABLE 3 Generic Function, Outcome, and Error Analysis of Test and Inspection... 

Such a task description invites task analysis, which would lead naturally to human reliability analysis (HRA). Indeed, perhaps the earliest work in this field applied HRA techniques to construct fault trees for aircraft structural inspection (Lock and Strutt 1985). The HRA tradition lists task steps, such as expanded versions of the generic functions above, lists possible errors for each step, then compiles performance shaping factors for each error. Such an approach was tried early in the FAA s human factors initiative (Drury et al. 1990) but was ultimately seen as difficult to use because of the sheer number of possible errors and PSFs. It is occasionally revised, such as in the current FRANCIE project (Haney 1999), using a much expanded framework that incorporates inspection as one of a number of possible maintenance tasks. Other attempts have been made to apply some of the richer human error models (e.g.. Reason 1990 Hollnagel 1997 Rouse 1985) to inspection activities (La-toreUa and Drury 1992 Prabhu and Drury 1992 Latorella and Prabhu 2000) to inspection tasks. These have given a broader understanding of the possible errors but have not helped better define the PoD curve needed to ensure continuing airworthiness of the civil air fleet. 

The authors aim has been to develop a generic functional electrical stimulation (FES) implant for the restoration of functions in spinal cord injured (SCI) paraplegic individuals, the functions or modes of which can be matched to an individual s requirements upright functional mobility, pressure relief and lower extremity exercise, bladder and bowel control [1-6]. In addition, for bladder control, less invasive... 

This selection of support points minimizes the maximum error of the polynomial approximation in the selected interval of a generic function when the extreme points are, in turn, support points. 

In addition, the fugacities of all components in a mixture are not independent rather, they are related through the Gibbs-Duhem equation. If we use g/RT for the generic function fin the Gibbs-Duhem equation (3.4.10), we find... 

It is unsuitable to use gradient root-finding for a generic function since (2.5) is the necessary but not sufficient condition for a minimum we should find all possible solutions of (2.5) and then select the minimum from among them. 

In the case of generic functions, some decisions are called for ... 

Newton s method used to minimize a generic function can be adapted to this special case. 

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