Summary function

QA SQPs should specify the amount of data to be audited and how the data points are chosen for audit. An auditor may choose to perform more thorough and more frequent audits on a recently validated system. The validation report can be used to assist in determining what and how much to audit. For example, if data summary printouts from the chromatographic computer system are used in the report, the validation report should be reviewed to verify that this summary function was tested during validation. If this portion of the computer software was successfully validated, verifying a few values from each table in the report may be sufficient. 

Summary Functional first generation dendrimers were synthesized starting from methyltrichlorosilane. Successive treatment with the lithium derivatives of dimethyl-phenylsilane and methyldiphenylsilane and conversion of the phenyl groups into bromides gave a stepwise construction of a branched polysilane. 

In summary, functionalization of Ceo shows that a single hydrophilic addend is not sufficient to prevent the strong hydrophobic 3-dimensional interactions among the fullerene moieties and the resulting tendency to form aggregates. This precludes formation of stable monomers of monofunctionalized fullerene derivatives in aqueous solution and leads to the irreversible formation of clusters. 

Other Aromatic Hydrocarbons 23-7 Hydrocarbons A Summary Functional Groups... 

The various reactions of nucleophiles with sulphines continue to be explored Scheme 3 provides a summary. Functionalized carbanions, e.g. XCH2 (X = CN, SOMe, or S02CjH4Me-p) or CHRCONEtj, proceed by the more usual thiophilic... 

Coherent states and diverse semiclassical approximations to molecular wavepackets are essentially dependent on the relative phases between the wave components. Due to the need to keep this chapter to a reasonable size, we can mention here only a sample of original works (e.g., [202-205]) and some summaries [206-208]. In these, the reader will come across the Maslov index [209], which we pause to mention here, since it links up in a natural way to the modulus-phase relations described in Section III and with the phase-fiacing method in Section IV. The Maslov index relates to the phase acquired when the semiclassical wave function haverses a zero (or a singularity, if there be one) and it (and, particularly, its sign) is the consequence of the analytic behavior of the wave function in the complex time plane. 

In summary, for a homonuclear diatomic molecule there are generally (2/ + 1) (7+1) symmetric and (27+1)7 antisymmetric nuclear spin functions. For example, from Eqs. (50) and (51), the statistical weights of the symmetric and antisymmetric nuclear spin functions of Li2 will be and respectively. This is also true when one considers Li2 Li and Li2 Li. For the former, the statistical weights of the symmetric and antisymmetiic nuclear spin functions are and, respectively for the latter, they are and in the same order. 

Summary In a region where the Xm elements are analytic functions of the coordinates, Am is an orthogonal matrix with elements that are analytic functions of the coordinates. 

Table 9.1 Summary of Names and Definitions of the Various Functions of 77, 77o, and C2 in Which Solution Viscosities are Frequently Discussed...

The properties of fillers which induence a given end use are many. The overall value of a filler is a complex function of intrinsic material characteristics, eg, tme density, melting point, crystal habit, and chemical composition and of process-dependent factors, eg, particle-si2e distribution, surface chemistry, purity, and bulk density. Fillers impart performance or economic value to the compositions of which they are part. These values, often called functional properties, vary according to the nature of the appHcation. A quantification of the functional properties per unit cost in many cases provides a vaUd criterion for filler comparison and selection. The following are summaries of key filler properties and values. 

A summary of physical and chemical constants for beryUium is compUed ia Table 1 (3—7). One of the more important characteristics of beryUium is its pronounced anisotropy resulting from the close-packed hexagonal crystal stmcture. This factor must be considered for any property that is known or suspected to be stmcture sensitive. As an example, the thermal expansion coefficient at 273 K of siagle-crystal beryUium was measured (8) as 10.6 x 10 paraUel to the i -axis and 7.7 x 10 paraUel to the i -axis. The actual expansion of polycrystalline metal then becomes a function of the degree of preferred orientation present and the direction of measurement ia wrought beryUium. 

In summary, dispersants are effective for particle dispersion and crystal growth inhibition, but do not normally have surface-active properties such as oil emulsification. Chelants and antiprecipitants frequently inhibit crystal growth better than dispersants, but are ineffective for particle dispersion. Flocculants are effective for aggregating particles, the opposite function of a dispersant. 

Raw data must be analyzed and transformed into a format useful for specific purposes. Summary tables, graphs, and geographic distributions are some of the formats used for data display. Air quality information often consists of a large body of data collected at a variety of locations and over different seasons. Table 15-3 shows the tabular format used by the California Air Resources Board to reduce ozone hourly measurements to a format which shows information about compliance with air quality standards (6). The format has location, maximum values, annual means, and number of occurrences of hourly values above a given concentration as a function of the month of the year. One can quickly determine which areas are violating a standard, at what time of the year elevated concentrations are occurring, and the number of good data points collected. 

In summary, structural studies of Ras and Gq with GTP-yS and a transition state analog have illuminated the catalytic mechanism of their GTPase activity, as well as the mechanism by which GTP hydrolysis is stimulated by GAP and RGS. In addition, these structural studies have shown how tumor-causing mutations affect the function of Ras and Gq. 

Fig. 8. Summary of real and imaginary e2(tu) parts of the dielectric function for Cgo vacuum-sublimed solid films at room temperature over a wide frequency range, using a variety of experimental techniques. The arrow at the left axis points to i = 4.4, the observed low frequency value of ei obtained from optical data [81].

Table 2.5-2 provides a convenient summary of distributions, means and variances used in reliability analysis. This table also introduces a new property called the generating function (M,0). 

In summary, the engineering constants for anisotropic materials and orthotropic materials loaded in non-principal material coordinates can be most effectively thought of In strictly functional terms ... 

Several authors have published empirical equations from experiments and from theoretical considerations combined with experimental results. The equations describe fireball combustion duration and maximum diameter as functions of original fuel mass. Table 6.4 presents a summary of published results. An average value is presented by the publications of Roberts (1982), Jaggers et al. (1986) and Pape et al. (1988), who gave the following equations ... 

This report documents the development of data on the severity as well as the frequency of accidents involving truck, rail, and air transport. Volume 1 includes a summary giving the probability of occurrence of accidents as a function of accident severity. Subsequent Volumes give supporting data, calculations and analysis. 

Because of the great range of structures containing cyclic hydroxamic acid functions it is difficult to give a concise summary of the available synthetic methods. Nevertheless, the vast majority of published syntheses depend on condensation reactions involving only familiar processes of acylation or alkylation of hydroxylamine derivatives. The principles of such syntheses are outlined in a number of typical examples in Section III, A but no attempt has been made to cover all reported cases. 

Figure 5 Summary plot of the transition temperatures (lower), inverse of the smectic layer spacing (middle), and temperature of the a relaxation (upper) of polybibenzoates as a function of the number of methylene units in the spacer Ti, [Ref. 9] T, , [Ref. 9] A I/d, [Ref. 7] T T , [Ref. 9] open symbols our results.

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