Generic elements

If we choose a generic element we have exp R = T. Therefore in such a case, the critical point is the same as the fixed point of the torus action. In the following, we assume is generic, and hence Crit(/) =... 

The classification of micropumps is somewhat arbitrary. One might distinguish micropumps according to the type of momentum transfer to the solution (mechanical or electrical), but for practical reasons, we choose here to distinguish them by the presence or absence of mechanical valves, this being a generic element of many pumps. A second classification can be made using the actuation principles (see Fig. 5). Various examples of the different pump-types are listed below. 

As explained in Coveil et al. (4) and Cobelli et al. (12), the elements of the mean residence time matrix have important probabilistic interpretations. First, the generic element ijy represents the average time a drug particle entering the system in compartment j spends in compartment i before irreversibly leaving the system by any route. Second, the ratio i equals... 

Establish generic elements of sustainable business practices. The tool synthesizes a broad range of generally accepted SD concepts into seven major elements. This provides a comprehensive basis for companies to select the desired scope and focus of their own SD efforts. 

Figure 4 (a) The generic elements of a 2D NMR experiment. The basic pulse sequences shown for (b) DQFCOSY,... 

Let X be a space of points (objects), with a generic element of X indicated by x. Thus,... 

The general production model can be formulated as a linear programming model, and its optimization represents the optimal determination of quantities to produce in order to maximize the profit (Lucertini 1999). In details let b the set of resources of the production system to be transformed in product quantities x through the technological modalities A. A is the technological matrix and its generic element Ay defines the resource of type needed to produce a unit of product j. 

Forming the density matrix from the eigenvectors of the occupied states with generic element... 

Representing S and F matrices in the Bloch function basis set at every k point of the sampling set. In this basis, the expression of the matrix elements contains a double sum over the direct lattice vectors. For example, a generic element of the Fock matrix represented in the reciprocal space is given by... 

It is immediately seen that nonzero elements occm in the diagonal block and only in the two neighboring blocks which describe the interactions of the central unit with the nearest neighbors in position +1 and -1, i.e., the distance of interaction is s = 1, vei7 short indeed. The construction of the Gr( o) matrix through Eq. (3-44) yields a 4 x 4 matrix where the generic element has the following form ... 

This CML model does not attempt to account for the detailed features of the chemistry of the resonantly forced BZ reaction instead, like CA models, it focuses on the generic element needed to observe the pattern (in this case the broken time translation symmetry produced by the external forcing). The CML model may then be used to explore the possible types of patterns that may arise in systems with this characteristic feature. In this way, we can gain insight into how such patterns form and even discover new types of possible behavior. 

In the previous section we have already discussed a few examples of two-state vibronic coupling effects in spectroscopy. They all relied on the LVC or QVC approach and were based on extended ab initio calculations for the underlying system parameters (frequencies and coupling constants). The latter is a generic element of our approach and applies to all examples presented here for details we refer to the original publications. 

Let assume the decision maker provides an incomplete pair-wise comparison matrix C, which the generic element is c. Then, Harker states that... 

Consider the bond between a hydrogen atom and some other generic element (which we wiUcaUY) ... 

Figure 48 illustrates a fuzzy structure query (symbolic) and some retrievals from the experimental BRS file via a prototype system. The circle and square labels are used as points of reference to help indicate the user specified search requirements. The structure fragment in both the circles and squares must be present (as opposed to may be and must not be present), but only at a generic match level. The match level for the square is a generic element the CAS generic group, for the circles. The substitution on both the square and circle fragments is must not be substituted (as opposed to may be and must be substituted). It should be noted that the portion of the query structure between the circles has the default values of may be present, may be substituted, and any match level, i.e., the maximum fuzziness . 

One starts from the fact that both matrices and are symmetric preserving the symmetry and the null-main diagonal of the D template since rooting in an invariant topological index. The vertex coloring allows for the calculation of both colored versions of the topo-reactive descriptors T(x) and T(ri), given in terms of the respective matrices and by Eqs. (3.196) and (3.197), respectively. First, the t( (f)..generic element of TL considers the shortest path between v. and v. (e.g., v. v.)... 

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