Margin description

If 5v //v /coex is not small, the simple description Eq. (14) in terms of bulk and surface terms no longer holds. But one can find AF from Eq. (5) by looking for a marginally stable non-uniform spherically symmetric solution v /(p) which leads to an extremum of Eq. (5) and satisfies the boundary condition v /(p oo) = v(/ . Near the spinodal curve i = v /sp = Vcoex /a/3 (at this stability limit of the metastable states both and S(0) diverge) one finds "... 

Of course, whilst the aim of the modelling exercise is always to obtain as realistic a description of the process phenomena as possible, additional realism often involves additional numerical complexity and will demand additional data, which may be difficult or impossible to obtain. A marginal additional degree of realism can thus become rapidly outweighed by the large amount of extra time and effort needed. 

Although alchemy appears in the title and the description says "They explain systems of divination such as the I Ching, the Tarot, and geomancy, as well as techniques of astral projection and elementary alchemy", the book appears to be very marginal (subject to examination of it)... 

Green and Pimblott (1991) criticize the truncated distributions of Mozumder (1971) and of Dodelet and Freeman (1975) used to calculate the free-ion yield in a multiple ion-pair case. In place of the truncated distribution used by the earlier authors, Green and Pimblott introduce the marginal distribution for all ordered pairs, which is statistically the correct one (see Sect. 9.3 for a description of this distribution). 

Although these reaction models give excellent descriptions of the system under particular conditions and are therefore quite satisfactory to account for free molybdenum(VI) in studies of complex formation, for example (73, 84, 88), some uncertainties still prevail. There is often little to choose between alternative models because the addition of a new species to a model, or the replacement of a particular species by one or two others, can have only a marginal improvement of the fit as has been shown by the authors themselves (61, 85, 86, 90) or by others in subsequent recalculations (81, 87, 90, 91). 

Table 11.3 presents summary descriptive statistics for those relationships for which financial data were available. Descriptive statistics are provided for sales revenue, operating profit, operating margin, concentration of purchases with the top two vendors, share of purchases with the largest alternative vendor, and overall satisfaction with the largest alternative vendor. Again, to protect confidentiality, contribution margin is not disclosed. 

For FTIH trials, all applications should include a summary of projected free plasma concentrations of the new active substance (NAS) in humans and a brief description of any pharmacokinetic modelling programs used to generate the estimates. A comparison with the concentrations obtained in the nonclinical toxicity studies and projected safety margins should be given. In the same section, an estimate of the extent of the intended pharmacological or pharmacodynamic response at the expected plasma concentrations should be included, with a list of the assumptions used in deriving that estimate. 

So far, we have been mainly following the most logical route from an ansatz for the DM1 to its resulting OF-KEDF. However, if the DM1 and the XEDF or more general XCEDF are not om major interests, is there any simpler way to approximate the OF-KEDF This is indeed a legitimate question. First, munerous numerical tests show that the WDA and the ADA only improve the description of the XCEDF marginally it is very hard to further refine the systematic error cancellation built in the EDA for the XCEDF.. . i36 i4i,26o,3i5 318,32M42 p j. 

It is also necessary to note that the success of TSR techniques to obtain information on trapping states in the gap depends on whether or not the experiment can be performed under conditions that justify equation (1.2) to be reduced to simple expressions for the kinetic process. Usually, the kinetic theory of TSR phenomena in bulk semiconductors—such as thermoluminescence, thermally stimulated current, polarization, and depolarization— has been interpreted by simple kinetic equations that were arrived at for reasons of mathematical simplicity only and that had no justified physical basis. The hope was to determine the most important parameters of traps— namely, the activation energies, thermal release probabilities, and capture cross section— by fitting experimental cnrves to those oversimplified kinetic descriptions. The success of such an approach seems to be only marginal. This situation changed after it was reahzed that TSR experiments can indeed be performed under conditions that justify the use of simple theoretical approaches for the determination of trapping parameters ... 

Structural analysis of the solid rocket case-grain system using experimentally determined propellant response properties may permit a complete description of the combined stresses and resultant deformations, but a statement expressing the ability of the propellant to withstand these stresses is also required. Such a statement, which relates the physical state at which failure occurs to some material parameters, is called a failure criterion. The criterion for failure permits a prediction of safety margins expected under motor operation and handling and defines the loading regimes where abnormal operations will occur with intolerable frequency. 

Organic acid analysis is one of the most challenging tests apphed to the diagnosis of inborn errors of metabolism. Several hundreds of compounds are excreted in the urine of individuals free of apparent disease, and the excretion of informative markers could be marginal depending on clinical status. Therefore, pattern recognition and descriptive interpretation are essential for proper utilization of this test. 

The bonding in OF4 would require two three-centre O-F bonds in MO language VB theory would employ polar structures F30+F-. In either description, the two additional O-F bonds must be weaker than those in OF2, which are themselves only marginally stronger than F-F. For any molecular decomposition, the entropy change will be positive so that the enthalpy change must be appreciably positive if OF4 is to be thermodynamically stable this seems improbable. 

We now turn to an anatomical description of lymph nodes. The lymph node is surrounded by a thick, fibrous capsule and is subdivided into compartments by trabeculae. Inside the capsule is the subcapsular or marginal sinus, which forms the entry point of lymphatic fluid into the node, via the afferent vessel. The lymph node cortex, which lies beneath the subcapsular sinus, is the location of the primary and secondary lymphoid follicles. The primary follicles are comprised of B-lymphocytes. An immune response stimulates B-cells to replicate and differentiate, converting the primary follicle into a secondary follicle or germinal center, surrounded by a zone of small lymphocytes. The paracortex surrounds the germinal centers and primary follicles and contains mostly T-lymphocytes. The medulla is composed of medullary cords, consisting of macrophages and plasma cells, and medullary sinuses. The medullary vessels include the arteries and veins, and the afferent and efferent lymphatic vessels, respectively, deliver the lymphatic fluid into and out of the lymph node. 

It is known that the correspondence principle suggested by N. Bohr (1923) postulates that any theory pretending for better description and broader application range than the older one must include the latter in the form of marginal case . 

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