Closure profile

Closure profiles in cooling systems. Mater. Sci. Forum 7, 145-154. 

Dodson MH (1986) Closure profiles in cooling systems. Mater Sci Forum 7 145-154 Dong HL, Hall CM, Peacor DR, Halliday AN (1995) Mechanisms of Argon Retention in Clays Revealed By Laser Ar-40- Ar-39 Dating. Science 267 355-359... 

The temperature profile, namely the increase in board temperature as a function of the time after press closure can be divided into five periods [225] (Fig. 7). 

FIG. 6 Density profile of a hard sphere fiuid near a hard wall. The bulk density is pd = 0.6. The curve gives the results of the lOZ equation with the PY closure and the circles give the simulation results. The results obtained using the HAB equation together with the MV closure are very close to the solid curve whereas the results obtained from the HAB equation with the HNC and PY closures are too large and too small, respectively. 

We apply the singlet theory for the density profile by using Eqs. (101) and (103) to describe the behavior of associating fluids close to a crystalline surface [120-122], First, we solve the multidensity OZ equation with the Percus-Yevick closure for the bulk partial correlation functions, and next calculate the total correlation function via Eq. (68) and the direct correlation function from Eq. (69). The bulk total direct correlation function is used next as an input to the singlet Percus-Yevick or singlet hypernetted chain equation, (6) or (7), to obtain the density profiles. The same approach can be used to study adsorption on crystalline surfaces as well as in pores with walls of crystalline symmetry. 

Comparison between rows of a contingency table X is made easier after dividing each element of the table by its corresponding row-sum. This operation is called row-closure as it forces all rows of the table to possess the same unit sum. After closure, the rows of the table are called row-profiles. These can be represented in the form of stacked histograms such as shown in Fig. 32.1. 

In CFA we can derive biplots for each of the three types of transformed contingency tables which we have discussed in Section 32.3 (i.e., by means of row-, column- and double-closure). These three transformations produce, respectively, the deviations (from expected values) of the row-closed profiles F, of the column-closed profiles G and of the double-closed data Z. It should be reminded that each of these transformations is associated with a different metric as defined by W and W. Because of this, the generalized singular vectors A and B will be different also. The usual latent vectors U, V and the matrix of singular values A, however, are identical in all three cases, as will be shown below. Note that the usual singular vectors U and V are extracted from the matrix. ... 

An elastomeric closure is a packaging component that is, or may be, in direct contact with a drug product. Elastomer selection for parenteral packaging principally involves consideration of chemical, physical, and biological properties, with emphasis on the stability profile of the drug/container system. Typical elastomeric closure compositions are listed in Tables 1 1. Although certain packaging applications frequently call to mind certain elastomer types, it is not feasible to prescribe specific... 

FIGURE 26.16 Profile of the MTG double-liner system. (Adapted from U.S. EPA, Requirements for Hazardous Waste Landfill Design, Construction, and Closure, EPA/625/4-89/022, U.S. Environmental Protection Agency, Cincinnati, OH, August 1989.)... 

This approximation amounts to truncating the functional expansion of the excess free energy at second order in the density profile. This approach is accurate for Lennard-Jones fluids under some conditions, but has fallen out of favor because it is not capable of describing wetting transitions and coexisting liquid-vapor phases [105-107]. Incidentally, this approximation is identical to the hypemetted chain closure to the wall-OZ equation [103]. 

In this author s opinion, the influence of chain length on the ease of cyclisation of bifunctional chains is the most relevant and fascinating aspect in intramolecular reactions. An illustrative example is provided by the reactivity profile (Fig. 7) related to the lactonisation of co-bromoalkanoate anions (44), which is the first ring-closure reaction series for which a complete set of... 

EM profiles for typical ring-closure reaction series... 

Closures of 3-, 4-, and 5-membered rings exhibit unusual behaviour when compared to higher homologues, as shown, for example, by observing the left-hand ends of the EM-profiles plotted in Fig. 10 these are reproduced very poorly by the calculated values shown in Fig. 26. 

Integration of the ODEs results in the concentration profiles for all reacting species as a function of the reaction time and the initial concentrations. The explicit solutions for the ODEs above (3.75) are given below (3.76). We list the equations for one concentration only. The remaining concentrations can be calculated from the closure principle, which is nothing else but the law of conservation of mass (e.g. in the first example [B]=[A]o-[A], where [A]o is the concentration of A at time zero). Only in example d) two concentrations need... 

As expected, the trace in Figure 5-19 is less ordered than the equivalent in Figure 5-18. Concentration profiles are governed by the law of mass action and closure and thus the trace, following the rows of US, is structured accordingly. No such law governs the relative shape of the absorption spectra and the trace following the columns of SV. 

We have to be careful. The symmetry between columns and rows of the matrix Y is not complete. Closure is a property of the concentration profiles only and thus applies only in one dimension. The command mean (Y, 1) computes the mean of each column of Y and the resulting mean spectrum is subtracted from each individual spectrum. 

Several dosage forms carry an increased risk of degradation or adjunct formation. Products such as injections and aerosols are more likely to interact with volatiles or extractables from packaging and closure systems. Tablets have the potential to form adjuncts with excipients (specifically, lactose has been shown to form adjuncts in tablets). Non-CFC propellants in aerosols have a large number of impurities that typically do not interact with drug substances, but the potential for these interactions does still exist. Creams, ointments, lotions, and other such products will each have specific interactions that should be considered while evaluating the impurity profile of a drug product. 

The second-order rate constants for thiocyanate anation vs pH are shown in Fig. 1.13. The full line represents (1.216) with the values shown in scheme (1.217). This profile had been earlier recognized in the ring closure of the three analogous pH-related forms of Co(III)-edta to give Co(edta) in which the edta is completely coordinated.In the Co(lll) case the reactivities of the three forms are much closer. A plot of A [H+] -1-[H+] is a quadratic curve from which / ah2> ah be obtained. 

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