Dependence definition

The properties of these molecules at room T depend definitely on the H-bond effects. Water is the most distinct example for studying the H-bond effects and an essential part of this important and interesting section of organic chemistry. It is clear that in mixtures water-hydrophilic organic molecules play a very important role. 

The efficiency of the above catalysts for NO reduction depends definitely on the kind of metals and their loadings onto supports, the type of reductants and the feed gas composition employed as well as on the kinds of supports and structure of the parent zeolite and its historical nature during preparation. In particular, the effect of the presence of H2O and SO2 in the exhaust gas from mobile sources is well documented on the maintenance of time-on-stream deNOx activity of SCR catalysts, and their resistance to these co-existing gases is an essential parameter determining successful applications to engine sources. The durability of the documented catalysts under hydrothermal conditions should also be considered to verify if those were applicable to controlling vehicle NOx... 

This section studies the commutation properties of the state-dependent effective operators generated by the K, L) and K, L) mappings (see Table 1). As in Section IV.A, let A and B designate two arbitrary operators and F be their commutator F = A,B]. A state-dependent definition A conserves F iff... 

Complications arise here that are absent with state-independent effective operators. The effective operators in (4.16) cannot merely be replaced by their definitions from Table I since the latter may not be applied directly to any vector of the space Oq because of their normalization factors. These factors are associated with the model eigenvectors on which the operators act to produce the matrix elements A. Consequently, arbitrary bras and kets of flp must first be expanded in the basis of these eigenvectors before a state-dependent definition can be used with them. This represents a serious drawback with the use of state-dependent effective operators. 

The commutation relation between two arbitrary operators is not conserved upon transformation to effective operators by any of the definitions. Many state-independent effective operator definitions preserve the commutation relations involving // or a constant of the motion, as well as those involving operators which are related to P in a special way, for example, A with [P, 4] = 0. Many state-dependent definitions also conserve these special commutation relations. However, state-dependent definitions are not as convenient for formal and possibly computational reasons. The most important preserved commutation relations are those involving observables, since, as discussed in Section VII, they ensure that the basic symmetries of the system are conserved in effective Hamiltonian calculations. 

In order to avoid misunderstandings, we emphasize that the present discussion utilizes real energies and the scattering wavefunctions are defined according to the chosen boundary conditions. We do not use complex energies and corresponding boundary conditions that are appropriate for the energy-dependent definition and computation of resonance states, e.g.. Ref. [1]. 

A required function specifies an item task. A correct, exact and unequivocal definition is a primary starting point for all dependability definitions as well as for a right failure definition. Operation conditions affect significantly both dependability and especially possible failure occurrence, hence the reason why they have to be determined very thoroughly. We concentrate on the main and support functions (Valis Bartlett 2010) in terms of failure occurrence and function loss of polymer composites with natural fibres. 

For the case of rail buses, the expert system indicates, that the best maintenance strategy for analysed transportation system is tg—Block Replacement Policy for multi-unit system with availability constrains. This result is connected with e.g. lack of information about system reliability structure. Another simplification regards to impossibility of delay time and elements dependency definition. As a result, authors underline, that the rail cars operational process performance should be broadly analysed in order to gather the necessary but not obtained input data for expert system fully implementation. 

The total number of bonds with solvent and ligand molecules in the first coordination sphere is the coordination number (CN) of the ion. The first solvation number (Ns) is the number of solvent molecules in the first coordination sphere. Such a time-independent definition needs, however, a complementary time-dependent definition of the first coordination sphere. Therefore, a solvent molecule in the first coordination sphere may be defined as having a long residence time in comparison to its correlation time in subsequent coordination spheres or in the bulk. Undoubtedly, the solvation residence time varies with the lability of the metal ion. The solvation number (S) is defined as the number of solvent molecules under the influence of the electric field generated by the central ion, and following the ion s motion in the solution. 

DEFINITIONS OF REACTION RATE 1.4.1 Species-Dependent Definition... 

The species-dependent definition of reaction rate will be used throughout the remainder of this text. 

A rigorous, theoretical definition of the boiling range distribution of petroleum fiactions is not possible due to the complexity of the mixture as well as the unquantifiable interactions among the components (for example, azeotropic behavior). Any other means used to define the distribution would require the use of a physical process such as a conventional distillation or gas c omatographic characterization. This would therefore result in a method-dependent definition and would not constitute a true value from which bias can be calculated. 

We will compare the relative total intensity with the depth of real geometrical structures. Figure 9.49 shows the observed depth as function of the raster geometry of the mask. The observed depth of a geometrical structure increases progressively with increased width of perforations, if the period i is constant. The structural depth decreases noticeably at small widths of perforation. However, the observed depth does not remain constant if the period i varies at a constant transmission ratio (i.e. o/i = const.). The area dependent definition of the ratio of transmission does not allow it. If only the transmission controls the UV-penetration depth, it would be expected that the observed structural depth is constant for a constant ratio of transmission which corresponds to a constant relative total intensity. 

Anyhow, the polycation-induced RBC toxicity depends definitely on the nature and the structure of the polycations. In other words, RBC might be a useful tool to anticipate the in vivo relative toxicity. However, in vivo, the interactions between RBC and proteins and polycations also depend on other factors such as the polycation local concentration and the blood flow rate, and thus on the experimental injection conditions. Such a behavior has already been observed once since a defined solution of Q-P(TDAE)n was foimd less lethal when slowly perfused than when given i.v.. Similarly to the effect of the order of mixing the interacting species, the influence of the i.v. administration conditions well agree with the involvement of a thermodynamically unbalanced formation ofpolyelectrolyte complexes. 

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