Simplify function

Applying the parameterisation in Eq. (1) together with the simplified functions shown in Fig. 1, the temporal variation in NH3 emissions may be simulated with good results. Figure 2 shows as an example of calculated temporal variation in NH3 emission from a pig stable, cattle bam and manure storage. It is easily seen that the variation reflects the differences described in the previous section. 

On the basis of the approach defined here, minimum values of Q consistent with an acceptable steady-state approximation may be estimated by comparing i(t)/Q with a(i, Xj) the former must be sufficiently small. An alternative approach to the estimation of minimum acceptable values of Q is to introduce simplified functions/(t), a(i), Le i), and WJW that enable equation (88) to be solved analytically [89]. Comparison of the solutions for finite values of Q with those for H = oo then provides an indication of how small Q can be if the steady state is to be reasonable. In this manner, Q > 100 has been obtained as an approximate criterion [89]. 

Often a simplified functional form can be assumed, of which the most common is the BPP approximation (Bloembergen, Purcell and Pound 1948). This model assumes that the autocorrelation function is exponential... 

Figure 5.7 Depth of carbonation, calculated by the simplified function s = K in relation to time and to K (constant relative humidity, no wetting of concrete)...

Fn-bond represents the hydrogen bond (H-bond) contribution between couples of noncovalently bonded atoms. Several functions, even very simplified and empirical ones, have been used, and often with good success. The H-bond, however, is at best a difficult interaction to describe through a function which is capable of both giving good results while really taking into account the physicochemical reality of the interaction. It is for this reason that there is a multitude of empirical simplified functions for its calculation. Where the H-bond is of little or no importance often the molecular mechanics calculations are just done on the basis of only the van der Waals interactions (and not with bad results, as in the earlier days of protein structure refinement). In systems in which the H-bond... 

For a more precise calculation of the molecular interaction constant, the function for the solids and the liquid medium must be known over a wide range of frequencies since this function according to Eq. (11.33), determines the magnitude of the adhesion. Moreover, it is important to estimate the error involved in replacing the actual function by the simplified function. Values of the function e,-can be obtained on the basis of experimental data [72]. This offers the possibility of calculating the constant of molecular interaction for two unlike solids separated by a layer of water by means of the following formula ... 

From now on the number of clusters involved in the Type I and Type II dissociation process will be called ni t) and ri2 i), respectively. The number of larger clusters, which are excited by the pump pulse and dissociate into the recorded mass channel, is characterized by a single simplifying function Hence, this extended fragmentation model leads to the following system of coupled differential equations ... 

Based on a simplified functional model for the computer, with consideration to the two different functions, which need to be safeguarded, we will now illustrate a safety concept applicable until ASIL C. Since for an ASIL C function we already have to corroborate in the software, before we control an ASIL C action, a certain redundancy of the sensors needs to be present. Generally, it is possible to say that a single analog signal cannot be safeguarded more than up to ASIL B. For the actuator control often a current read back path ensures that we can verily the information for the control through the microcontroller. 

Baby-boom generation of Korea is a generation of the post-war industrialization, born between 1955 and 1963 and consisting of people in their mid forties to early fifties. Consisting of about 8 million 160 thousand people, they form about 16.8% of the world population and when the age of 53 is considered the age of retirement, met their retirement period in 2008 [2]. The consumption desires of the baby-boom generation are focused around health/medical treatment while information communication products with simplified functions are preferred over complicated high-tech ones and one-stop fused services are favored... 

Refinements in three-dimensional space typically start from distance geometry structures, and attempt both to preserve the covalent geometry of the protein and to satisfy the constraints derived from the NMR measurements. The function to be optimized is almost always a sum of terms representing the energetics of the molecule per se and the experimental constraints. The molecular terms may be represented by simplified functions that maintain bond distances and angles and prevent nonbonded overlaps or by use of more realistic molecular mechanics expressions. 

Coyle S.M., Ward T.E., et al. (2007) Brain-computer interface using a simplified functional near-infrared spectroscopy system, J. Neural Engineering, 4 219-226. 

Systems which are characterized by a homogeneous average density as well as by the absence of macroscopic orientation can be represented by the much simpler pair correlation function g fj2, Ql, D2), which is defined above. The problem is that even this simplified function is much too... 

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