Case, definition terms Links

From a purely formal point of view the molecules are assemblies of atoms and bonds, consequently the definition of fragments may be done in terms of these constituents. We can imagine fragments as ensembles of (a) atoms, (b) bonds. Evidently in the first case the bonds linking the fragments should be broken, while in the second case the atomic centres at the borderline of two fragments should be artificially partitioned. 

The business case This provides initial requirements, defining the business problem or opportunity that this project addresses. It typically includes a high-level list of numbered functional and nonfunctional requirements2 (lb), the business reasons and risks for the project (la), the scope of the project in terms of things definitely included or excluded, linked clearly to a business model in terms of business objectives, actions or use cases, and user roles that must be supported (la), known requirements on the architecture, design, and implementation (lc), and constraints on project budget and schedules (Id). 

It is clear that for the very existence of a macroscopic approximation it is necessary that the fluctuations are small. So far we have appealed to experience to argue that this is the case, but it may now be linked to the properties of the master equation by using (8.9). In this equation a2> 0 by definition, and al(K)<0 at y— ye and hence in some neighborhood. (The case of a[(ye) = 0 is treated in ch. XI.) It follows that o2 tends to increase at a rate a2, but this tendency is kept in check by the second term. Hence [Pg.125]

QTAIM provides a definitive answer to the question of whether two atoms are bonded or not even in ambiguous cases [87, 88] and, as a consequence, the molecular graph, i.e., the chemical structure, is readily defined by this theory. Two atoms are bonded if their nuclei are linked in space by a line of maximal electron density termed the bond path [89, 90] (see Fig. 1). A single bond path links the nuclei of chemically bonded atoms irrespective of the mode of the bonding covalent (single or multiple), hydrogen, van der Waals, ionic, metallic, etc. The properties of the eleetron density determined at the point of lowest density along the bond path, where... 

In the definitions given by Eqs. 50a and 55a, the liquid or solid cases are to be implicitly understood from the context. Thus, if we are dealing with a solid (e.g. a cross-linked rubber), the 1/[Pg.455]

As noted in Chapter 5, the performance of a particular packing is often expressed in terms of a height equivalent to a theoretical plate (HETP) and is so reported by packing manufacturers. Performance data in terms of a HTU, or a volumetric mass transfer coefficient Ka, have a sounder theoretical basis but are relatively rare (see Table 5.6). A link between HTU and HETP can, however, be easily established for the case of a linear equilibrium relation. To show this, we start with the definitions of HTU and HETP and simply divide the two expressions. We obtain... 

Because this initial decomposition is so strongly linked to a specific industrial application and its associated qualification procedure it is not possible to provide an industry independent process. Nevertheless, a description is required of the major controlling parameters which make up the definition of the Real World Problem, such as loads, design critical factors etc. When these factors are examined it is clear that the process is one of finding a taxonomy which adequately defines the terms being addressed. To illustrate the points being made the specific case of deriving a basic definition of the loads is now considered. 

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